diff --git "a/data/dm_maths/full_data_2/1821_11255.jsonl" "b/data/dm_maths/full_data_2/1821_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1821_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = -0.6 + 1.1. Let b = -101\/11 + 9. What is the nearest to -2\/3 in d, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -107*z**3\/6 - 33*z**2 - 18*z - 4. What is the derivative of l(s) wrt s?\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 2*x + 2. Let w(p) = 4*p. Let m be w(1). Suppose -s + 5 = 1. Suppose -s = m*c - 8. Let a(u) = -1. Give c*i(h) + 3*a(h).\nAnswer: h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 496*a = 491*a - 15, -3*x = -5*a - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -17 - (-1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10629, 10553, 10433, 10275, 10085?\n\"Answer: v**3 - 28*v**2 + v + 10655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 897018 times -0.5?\nAnswer: -448509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 55679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11. Suppose 116 = 4*r - f*r + 4*j, -2*r + 2*j = -66. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*m - 3*k + 79, -k = -4234*m + 4229*m - 53 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89, -465, -1085, -1943, -3033, -4349?\n\"Answer: w**3 - 128*w**2 + w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*f**3 - 6*f**4 - 76*f**2 - 57*f**3 - 2*f - 46*f**3 - 8*f**3 to j*f**2 + q + x*f + k*f**3 + d*f**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 45. Let c(i) = -i + 21. Let j(g) = 5*c(g) - 2*v(g). Let a be j(11). Solve 3*o = 5*x - x + a, -5*o - 12 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.189635 decades?\nAnswer: 0.4189635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**2 + 18*c. Let a(x) = 26*x**2 - 55*x. Let m(j) = 6*a(j) + 19*v(j). Let b(l) = l**2 - l. Determine 12*b(s) + m(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 3*j - 3. Let h(l) = -3*l**2 - 5*l + 4. Let t(q) = -4*d(q) - 3*h(q). Factor t(x).\nAnswer: x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5832 - 5*i - 5832.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c - 5. Let n(p) = -91 - 84 + 263 - 92 + 5*p. Suppose -9 = -2*j - j. Suppose -15 = -j*u + 6. What is u*n(s) - 6*z(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10878326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(1185\/(-47400)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 33 = b, 6*b + m - 99 = 3*b + 6*m for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33*(14\/6 - 2). Let q = o - 5. Solve q*y = 3*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-2)\/w)\/w*w**(-3\/7))**(-34)*(((w\/((w\/((w**(-2\/5)\/w)\/w))\/w))\/w)\/w**(-6\/5))**(-46) assuming w is positive.\nAnswer: w**(6012\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from twb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**4 + 4 - 4)*(3 - 3 + 2) + (5*x**3 - 2*x**3 - 8*x**3 + 49*x**2)*(2*x - 2*x + 2*x) in the form w*x + f*x**2 + u + p*x**4 + g*x**3 and give g.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*s - 42 = 49, 0 = 4*s + 20. List the prime factors of -1*17*4\/((-36)\/n).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 4*u. Suppose -80 = -5*n + 3*n - 2*s, 3*n - 3*s - 138 = 0. Suppose n*x - 12*x - 930 = 0. Calculate the remainder when x is divided by d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117909503 + 1842*s + 117909503 - 1785*s.\nAnswer: 57*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t - 1. Suppose 0*l - 2*r = -5*l + 12, -4*l = r - 20. Let z = 5 - l. Determine h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i + 3*i - 6*i - 5*i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4545 - 27401\/6. Calculate the common denominator of -79\/8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 300555609 divided by -100185203\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -117, -27, -0.12, 1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/65 and 2\/55015?\nAnswer: 715195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/65315432 and -43\/1523392.\nAnswer: 522523456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 67726341+0.073\nAnswer: 67726341.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 125033, 125037, 125041, 125045?\n\"Answer: 4*v + 125029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149646065 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 735, 1668, 2983, 4686, 6783, 9280?\nAnswer: 12183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*d - 396*d**4 + 0*d**3 + 4*d**3 + 8*d**2 - 5*d**3 wrt d?\nAnswer: -9504*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from ehppea.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27007 is divided by 13371?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = 5*c + 2, 0 = q - c - 2. Let o = 0 - q. Let b = -32 + 29. What is the closest to o in -0.1, -0.3, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221921176 plus -0.0632?\nAnswer: 221921175.9368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 480*k**2 - 450*k + 6690. Calculate q(-239).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 2 + 2)*(f + 2*f - 4*f) + 29*f - 31*f - f**2 - 2*f**2 to the form p*f**2 + x + u*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, l: 4, u: 4}. Give prob of picking 2 d and 2 l.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(28\/8)\/(-7)*68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 9*c**2 + 17*c - 8. Suppose 0 = -22*x - 5*x + 54. Let p(j) = -3*j**2 - 2*j**2 - 3*j**2 + 7*j**2 + 4*j - 2 + 3*j**x. What is -2*k(m) + 9*p(m)?\nAnswer: -2*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12 and 49\/189506.\nAnswer: 1137036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102159*y**2 + 90754*y + 6.\nAnswer: -204318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + b + 154 = 0. Factor 22*o + b + 2*o + 3*o**2 - 18 - 20.\nAnswer: 3*(o - 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2. Let p(y) = -60*y + y**2 + 60*y. Calculate z(p(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/225 and 4\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/20093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b561 (base 13) in base 10?\nAnswer: -282140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 - 55*n + 57. Determine l(6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22598998 is divided by 2025.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31732 divided by -2\nAnswer: -15866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) + (-13)\/(-2). Let g = v - 7. Let o(w) = w + 2. Let h(c) = -1. Suppose 3*l + 11 = 5. Calculate g*o(m) + l*h(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03759*3\nAnswer: 0.11277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:35 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -42*r**3 + 2*r**2 - 1. Let i be n(2). Let p = 689 + i. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-1323)\/(-72))*9\/((-1548)\/(-5719))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - (1 + -2 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {k: 2, a: 1, i: 1, y: 2, q: 1, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -v + 12, -2*x + 22 = 3*v - 9. Let c be -27 + 32 - (-180 + -6 + 4). Calculate the highest common divisor of v and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.2 * -21.\nAnswer: -1642.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikflj. Give prob of picking 1 i, 1 l, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/5 (c) -42 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3545892378?\nAnswer: 2, 3, 7, 28142003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1205709903215 less than 0.1?\nAnswer: 1205709903215.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-12))\/(6\/(-16)). Suppose -r + 1 = -o, -2*o = -2*i + 90. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215564.6 millennia in years?\nAnswer: 215564600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-1) - -6 - -261. Calculate the remainder when 112 is divided by ((-2)\/6)\/(v\/(-87) - -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.408725 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 2*z**2 + 3*z - 7. Give i(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -44. Suppose -4*z + k + 13 = 4, z = -k + q. Suppose z*j - 210 - 38 = 0. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i**3*j - 1394*i**3*u + 17*i**2*j*u + 2*i*j - j*u + 7*j + 8 wrt u.\nAnswer: -1394*i**3 + 17*i**2*j - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**3 + 7. Let m(l) = -4*l**3 - 3. Let q(r) = -15*m(r) - 6*p(r). Let i(y) = -35*y**3 - 17. What is -6*i(u) - 34*q(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -453 + 608. Calculate the remainder when l is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1086 (b) 1\/237 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**26)**(-7)*(n**(-5\/3))**(12\/7) assuming n is positive.\nAnswer: n**(-1294\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**11*o*((o*((o**15*o)\/o)\/o)\/o*o)\/o*(o**8\/o)**(21\/2) assuming o is positive.\nAnswer: o**(199\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 18*p**2 + 21*p - 310. What is the hundreds digit of g(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-10))\/((-2)\/5))\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 4*c - 23, -7 = 990*f - 993*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 6)*(1 - 3). Suppose 4*j + 9 + 27 = 0. Let f = n - j. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7344031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 24465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/18)\/((-3)\/(-30)). Let d = -1\/9 - u. Let c = -7.81 - -8.81. What is the closest to c in d, -7, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*b - 6. Solve 0 = 4*p - 11 - b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -357 >= -359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 7, s: 3}. Give prob of picking 1 s and 1 t.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 - y - 4. Determine x(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 7. Let h be 4*(-3)\/(-12) - 4. Let v be (4 - 4) + 15\/h. Sort -1, v, b.\nAnswer: v, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 17 + 48 = 3*w, 4*w - 29 = s. Round s to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-17) - (-32)\/(-272)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h*h)\/h**(-5)*(h\/h**(5\/6))\/((h\/(h\/(h\/(h\/(h**(-1)*h*h))*h)*h))\/h*h) assuming h is positive.\nAnswer: h**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13573, -13588, -13605, -13624, -13645, -13668?\nAnswer: -13693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11469, -31011, -50553, -70095?\n\"Answer: -19542*a + 8073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 53*w + 289. Let k be g(47). Solve 2*s - k = 3*d, 0 = 43*d - 44*d - s - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*n - 3300, -1093 + 3568 = 3*s - 2*n. Let v = 1612 - s. List the prime factors of v.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122246 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.85 + 4.135. Let d = -0.005 + 0.02. Let z = d + a. What is the second biggest value in z, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*l**3 + 672*l**3 + 27*l**3.\nAnswer: 642*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25*(4928\/(-210) - -24))\/((4\/(-6))\/(-2))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = t, -i + 8 = -2*t. Let o(g) = -i - 91*g**2 + 91*g**2 + 2*g**3 - g. Let l(c) = c**3 - c - 1. Give 5*l(q) - 3*o(q).\nAnswer: -q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -61480 != -4611028\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((8 + -2)\/(-3))\/(-1). What is the nearest to 0 in 0, -2\/5, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-4 + 1) + 1. Let f = 2 + b. Let n be (-2 + 1 + f)*-1. Solve n*s - 4*s = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 73\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v - 159. Give s(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 n, and 1 z when four letters picked without replacement from lznzqlqqqqlq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 35. Suppose -s - 6 = a. Let l = 18 + s. Solve -l*g - 2*k - 15 = -4*k, -g - 3 = -k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*r - 19 = 0, 0 = 5*m - 9*m - r + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -3) + (13 - 6) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 148 = 27. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 + 11*q + 5. Let r(g) = 3*g**3 - g**2 - 10*g - 5. Let o(f) = 4*a(f) + 5*r(f). Let t be (-10 - -5) + 1 + 0. Determine o(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*w - 6*l + 38 = 125*w - 15*l, -l + 4*l - 86 = 2*w for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5888 * -1621\nAnswer: -9544448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnx when four letters picked without replacement from nxkxiknixiffn?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2229 divided by -743.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 18*r**2 - 4*r - 19. Let x be g(-17). Let b be ((1 - 4)\/9)\/(4\/x). Solve -12 + b = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 50*s**2 - 17*s - 2. Let c be u(-4). Let p = -1781\/2 + c. Let f = 611\/3402 + -1\/972. Calculate the common denominator of f and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 - 7 = 0. Is 1 - 4*(-60)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3733316*d + 18666580. Determine o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218016 by 1618.\nAnswer: 109008\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-80)*1620\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*t + 3 = 0, -g + 5 = -0*t - 3*t. Suppose 6*d + 3*d = 9. Sort 5, d, g.\nAnswer: d, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-1 - (-3 + 3))) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**2 - 7*d**2 + 1532*d - 1781*d - 2*d**2 = 0. What is d?\nAnswer: -83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -61. Which is smaller: j or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/14*(-6)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 2. Let p(t) be the first derivative of 2*t**4 + 3*t**3 + 2*t**2 - 1. Let v(h) = -2*h**3 - 2*h**2 - h. Let l(z) = i*p(z) - 9*v(z). Give l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7436.96 - -7437. What is the fifth biggest value in 0.5, 19\/5, -2\/9, 0.3, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90072 and 5936412.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 107117, 191569, 276033, 360515, 445021?\n\"Answer: i**3 + 84445*i + 22671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 + 181258545*y**3 - 181258470*y**3.\nAnswer: 75*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*d - 10, 3*d - 5*h + 3*h + 15 = 0. Let b = 512591 - 99443133\/194. Let s = -3\/97 + b. Put s, 0, d in decreasing order.\nAnswer: 0, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 1*(5 + 0)*4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 40*h = -2128. Calculate the remainder when h is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18749, 17, -56, 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003407285 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 388802209009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12956, -12960, -12974, -13004, -13056, -13136?\n\"Answer: -f**3 + f**2 - 12956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 3. Let o be v(3). Suppose 2*g - 2 = 0, 0*g - 236 = 4*t + 4*g. Let h = t - -62. Solve -c = -3*y + 8, h + o = 2*y + c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = -55*q + 2019588. List the prime factors of q.\nAnswer: 2, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(((u\/u**(-9))\/u)\/u*u))))**37)**(-5\/11) assuming u is positive.\nAnswer: u**(1480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(76))**2 - sqrt(76)) + (sqrt(76)*-3 + sqrt(76))*5 + -4*(-3 + (-1 + sqrt(76))**2 - sqrt(76))*-5.\nAnswer: -152*sqrt(19) + 3304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/8 - 30\/(-8). Suppose -r = -2*c + 172, l*c - 2*r - 26 = 231. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 3133 = -2997 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10*y + 15 = 0. Let h be ((-16)\/(-12))\/(y\/(-9)). Solve -3*k - 4*l + 12 + 10 = 0, 2*l = 2*k + h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3435 (base 6) to base 13\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6475 (base 8) to base 9.\nAnswer: -4575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14901 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48961 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3134512993 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**4\/12 - 5*h**3\/3 - 25*h**2\/2 - 13*h. Factor d(b).\nAnswer: -(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 5*s**2 + 4*s - 3*s + 3. Let d be t(0). Suppose d*v + 1 + 4 = 2*c, 2*c = -2*v + 10. Sort v, -0.2, -1\/3 in ascending order.\nAnswer: -1\/3, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from jmmmbmbbjbmmhmbmbmj?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 c, and 1 b when four letters picked without replacement from rebrebrrrerrcrrtcc.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(325)*2 - ((-1 + sqrt(325))*3)**2).\nAnswer: -5860 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 73*b - 20. Let f be z(20). Suppose -f = -8*m + 7928. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m = -316*m + 108*m + 6138 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l + 4*f - 9 = 65*l, 0 = 2*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001719606963 to five decimal places.\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -45*g + 13. Let a(l) = 68*l - 19. Let d(t) = 5*a(t) + 7*w(t). Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -24. Is y at most as big as 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 6) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*z**2 - 34*z**2 - 4 + 2 + 228*z**2.\nAnswer: 572*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 26.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + 3*u**4 - 2*u**4 + (0*u**2 + 0*u**2 + 2*u**2)*(-u**2 - u**2 + 4*u**2) + (-u - u**3 + 2*u + 3*u**3)*(u + 0*u + 0*u).\nAnswer: 7*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.832 (b) 3 (c) 2\/5 (d) -1\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/4 - 19*t**2\/4 - 15*t = 0.\nAnswer: -15, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1458.86329 to the nearest 10.\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 - l)*(3 - 2 - 3).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 - 4*j**5 + 11*j**5 + (2 - 2 + j**5 + (j + 1 - 1)*(2*j**4 - 2*j**4 - j**4) + 3*j**5 + j**5 - 6*j**5)*(-4 + 4 + 2).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2110 (base 3) to base 4\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, -2*j = -t + 19 - 18. Let q(r) = r + 1. Let x(y) be the third derivative of y**6\/40 - y**4\/4 - y**3 - 3*y**2. Calculate t*x(c) + 6*q(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1783 - 1773. Solve 5*r = 2*y + z, -r - 3 = -4*y - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406203 and 1127.\nAnswer: 2843421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 39. What is the remainder when p is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 91*j + 811. Determine l(53).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/11, 487, -11\/4, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**2. Let z(u) be the second derivative of u**4\/12 - 13*u. What is b(z(v))?\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -3\/4 (b) -0.3 (c) 1\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -29. Let b be -4 - (z + (-4 - -4)). Suppose -18*p - 528 = -b*p. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 29*u - 33. Calculate v(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -43?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20653 (base 14) to base 10\nAnswer: -78081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nky when three letters picked without replacement from {l: 4, k: 2, g: 2, w: 2, y: 1, n: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = p - 5*s, -3*s - s = -p - 12. Calculate the remainder when 23 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 5*x. Let o(l) be the first derivative of 4\/3*l**3 + 4\/5*l**5 + 1\/2*l**2 + 1\/6*l**6 + x*l + 3\/2*l**4 - 2. Let o(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 56. Determine l(10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 + 26*x - 2. Let u(f) = 2*f**2 + 9*f - 1. Let y(v) = 8*u(v) - 3*z(v). Let g be y(7). Solve -g*b - 29 = -n, -11 = 3*b + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f + 1 - f**2 + 1\/3*f**3. Let l(j) be the first derivative of y(j). What is the first derivative of l(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -333. Let h = k + -52. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -51. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 5*s + 5*s + 5*s. Let v(r) = -2*r - 9. Let j(u) = u + 4. Let a = -14 - -23. Let d(k) = a*j(k) + 4*v(k). Determine t(d(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 2, i: 1, v: 1, o: 1, d: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 829.435742 + 0.821\nAnswer: 830.256742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11648541, -11648517, -11648493, -11648469?\n\"Answer: 24*y - 11648565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(180) - 1*sqrt(180)) + sqrt(180) - sqrt(180))\/(-5*sqrt(8)\/sqrt(2)))\/(2*sqrt(36)*-2*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19439887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12*50\/((-22800)\/(-266))*2\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:18 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 7*t - 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14647 is divided by 4787?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 + 140. Solve -4*a = k + 1 - 5, 0 = -a - 3*k - i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 278, 555, 832, 1109, 1386?\n\"Answer: 277*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/588 and 26\/298011.\nAnswer: 8344308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -314 + 175. Let c = -106 - p. Calculate the remainder when c is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13475, -20901, -28327, -35753, -43179?\nAnswer: -50605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27236016059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*y - 27355, 0 = 7*y - 12*y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65579 and 0.5?\nAnswer: -32789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(102) + sqrt(102)))\/(sqrt(108)\/sqrt(2))*6 - (-4 + -1 + sqrt(833) + (2 + sqrt(833))**2 + -3).\nAnswer: -829 - 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*r - 1000*r + 1372*r + 1223*r + 1222*r.\nAnswer: 3792*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 199917, 400202, 600487, 800772, 1001057?\n\"Answer: 200285*b - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {r: 4, f: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 - 39*p**2 - 20*p + 39. Determine q(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -381*t - 56*t - 2315 - 12543 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -77*o + 4. Let f(y) = 12*y**2 + 6113. Determine w(f(d)).\nAnswer: -924*d**2 - 470697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 375112 - -2?\nAnswer: 375114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -204*m + 5106. Calculate h(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69393915 - -0.0165324.\nAnswer: -69393914.9834676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(sqrt(363) + sqrt(363)*-1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 165*u + 558. Determine x(-5).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3907477 is divided by 2166.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*l**4 - 1\/6*l**2 + 0*l - 1\/2*l**3 = 0. Calculate l.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 159*k**3 + 858*k**2 - 18576*k.\nAnswer: 3*k*(k - 8)*(k + 18)*(k + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i - 14. Let s be f(-12). Suppose x = -x + s. Let l = 97 - x. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k**3 + 17*k**2 + 86*k - 17. Let z(l) = -7*l**3 - 6*l**2 - 29*l + 6. Let y(w) = -6*c(w) - 17*z(w). What is the second derivative of y(g) wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*u - 101, -4*q + 6*u + 142 = 5*u. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 8\/(-6))\/((-114)\/76).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k + 3*k**2 - 3*k)*(3 - 3 + 4*k) + (-2 + 0 + 0)*(k**3 + 0*k**3 + 0*k**3) - 2*k**3 + 3*k**3 + 4*k**3)*(2*k + 3*k - 4*k).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + (sqrt(117) - (sqrt(117)*-1*-5 + sqrt(117)))))\/(2*sqrt(729)*-4).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, -7\/4, 2\/11, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 170, 453, 922, 1577, 2418, 3445?\n\"Answer: 93*x**2 + 4*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1469 (base 10) to base 12.\nAnswer: -a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z + 4*z + 0*z)*(0 + 5 - 3) + z + 2*z - 2*z)*(-852*z + 21044 - 21044).\nAnswer: 852*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = 0. Suppose n*t + 2*t - 12 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-8) + 2298\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 2*s + 216, f + 3*s = 112. Suppose 5*v - 51 = f. Suppose 1193 + 204 = 91*g - 80*g. Calculate the remainder when g is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7*-7)\/(-1*2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63349.\nAnswer: 11, 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42704472?\nAnswer: 2, 3, 29, 61357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -25. Suppose -3*j + 2*s = -q - 463, 5*j + 2*s = 819. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 5:43 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2093, 2098, 2099, 2090, 2065, 2018, 1943, 1834?\nAnswer: 1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 18 - (-3 + 9)) + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183649040 a multiple of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/8 - 267*w**3\/4 + 3689*w**2\/8.\nAnswer: w**2*(w - 527)*(w - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158.94 - -151.991. Let s = -3241 + 3240.949. Let q = s + g. Which is the third biggest value? (a) 3 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z = -39*z + 78 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15673, -62637, -140911, -250495?\n\"Answer: -15655*j**2 + j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40856*s - 2*s**3 + 40856*s + 268 + 1825 - 442*s**4 - 2*s**2 wrt s?\nAnswer: -10608*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -4*m - 2*g, 8 = 4*g. Let p be (4\/(-2)*(-9)\/12)\/(-21). Is m at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -39. Suppose 2*j - 4 = 2*m - 0, -5*j + v = 5*m. Factor -15*d**2 - 4*d + 8*d**2 + 8 + 3*d**j + 0*d**2.\nAnswer: -4*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 - c**4 + 56 + c + 12*c**2 - 5*c**2 as m*c**2 + s*c**3 + p*c + l + v*c**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15 + 3*q**3 - 2*q**2 - 4 - 4*q - 2*q**3. Let p be k(3). Solve -9*i = -p*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at least as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(7) + sqrt(7) + -4.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3211.7 + 308.4.\nAnswer: -2903.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 224*j = 2892767 + 366034. What are the prime factors of j?\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 5617290?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 2.3\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-10 - (-30 + 12) - 3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 1, y: 12, s: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 3. Give k(-23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*u**2 + 105*u**2 - 56*u**2 - 43*u**2.\nAnswer: 114*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5482?\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 640760180 - 640760180.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**5 + 8*a**3 - 516*a**2 + 1?\nAnswer: -240*a**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 57*t**2 + 6*t**3 - 4*t + 5*t.\nAnswer: 17*t**3 - 57*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 + 3*i + 5. Let x be s(4). Calculate the greatest common divisor of x and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1301.22 micrometers to centimeters.\nAnswer: 0.130122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Suppose 3*v = -z + 15, d = 4*z - v + 9. Let j be (-2 - z)*(-2)\/24. Sort j, -3\/4, -2 in ascending order.\nAnswer: -2, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2124 and 279660?\nAnswer: 838980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1115 - 1106. Solve 4*k = 5 - z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -106*o**2 + 2262*o - 1137*o - 1118*o + (-2*o + 2*o + o)*(o + 0*o - 2*o) - 3*o**2 + 3*o**2 - o**2.\nAnswer: -108*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8420\/(-4664) + 2\/(-4). Let w = -11\/106 + z. Find the common denominator of (((-60)\/(-18))\/10)\/((-42)\/225) and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7*v + 2*v = -37, -2*v = -2*z + 2. Let u be 4\/(-2) - 8\/(-2). Suppose -z*m + 32 = -u*m. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -14, 6 in increasing order.\nAnswer: -14, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1de1a3 (base 16) in base 11?\nAnswer: -111833a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.22 rounded to zero decimal places?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 1 = -a + 6, 13 = -a + 5*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c - 20 = 102*c, 0 = -2*b - c - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1035601 - -0.0211531\nAnswer: -0.082407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, l: 2, s: 2}. What is prob of picking 1 e, 1 g, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 733, 740, 747, 754, 761?\n\"Answer: 7*s + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**4 - 2*u - 20. Let i(o) = -17*o**4 + 5*o + 40. Let g(q) = 2*i(q) + 5*v(q). What is the first derivative of g(n) wrt n?\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 3*p - 1, m = 6*p - 5*p - 12 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445900 and 14700.\nAnswer: 1337700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 8. Let n(h) = -h - 1. Let u(p) = -i(p) + n(p). Let k be u(6). Let b = 799 + -736. What is the greatest common factor of k and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahhdiejjdje. What is prob of sequence djia?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5 - -2) - (5 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -39*w**2 + 60*w + 4. Let q = -55 - -51. Let b(a) = 39*a**2 - 59*a - 3. Let t(d) = q*b(d) - 3*x(d). What is the second derivative of t(i) wrt i?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5599*d + 22412. Give g(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 1\/6*m**5 + 0*m**4 + 0 + 0*m + 13*m**2 - 3\/8*m**6 + 0*m**3 + 2\/7*m**7 - 25\/336*m**8. Factor v(q).\nAnswer: -5*q**2*(q - 1)**2*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (8 - (-7 + 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91\/219 + 8761\/876. Calculate the common denominator of p and 127\/1780.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, e: 2, r: 1, y: 1}. Give prob of picking 1 p and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -93. Suppose 2*n + 65 = 4*o - 3*n, -m = -2*o + 2*n. Let c be -1*(-4)\/(-8) - o\/(-4). Solve c*i = 4*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlln. Give prob of picking 1 n and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/(-5))*2\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-150)\/90 - -1*1. Sort -3, 0.6, z, -5 in ascending order.\nAnswer: -5, -3, z, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*-116*3\/18*3. Let d = v - -829. What are the prime factors of d?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12903, -11882, -10861, -9840, -8819, -7798?\nAnswer: -6777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -6, -2\/9, 73, -0.7, -1 in increasing order.\nAnswer: -6, -4, -1, -0.7, -2\/9, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - s**3 + 5*s**3 + 10*s**3 - 4*s**3 + 2*s**3 + (s**2 + 1 - 1)*(4*s + 0*s - 3*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnnmnqpnqnpnnnqnn. What is prob of sequence qqqm?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:11 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -339.6229374 and -12.81?\nAnswer: 326.8129374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 7}. Give prob of sequence zjz.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 9*m + 14. Let k be w(10). Suppose -10 = -3*u - k. Let r(g) = -1 + u - 1 - 12*g. Let i(h) = h**2. Give i(r(f)).\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/351 and -55\/63?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 13699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 19*i**4 - 45*i**4 + 13*i**4)*(3*i + 3*i - 5*i).\nAnswer: -13*i**5 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c1b0 - -60?\nAnswer: 1c230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -6 in decreasing order.\nAnswer: 13, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 2*h**2 - 3*h + 9. Give w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80342303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -48. Is (397\/4)\/(n*2\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50545 (base 6) in base 14?\nAnswer: -261b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -m - 4*l, -240 = -4*m - 35*l + 31*l. Calculate the remainder when m is divided by 2\/(-8) + (-125)\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304253 is divided by 68.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.276 - 18.1. Let q = -0.176 + j. Which is the biggest value? (a) -37 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**2 + 42*q + 31 - 37*q**2 + 5*q**4 - 25*q**3 - 13*q**2 - 17*q - 1.\nAnswer: 5*(q - 6)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39152.23835 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Suppose -y*z = -0*z + 120. Let f = 241\/6 + z. Which is the closest to 2\/3? (a) -1 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*((-5*i + 0*i + 4*i)*(-2 - 1 + 4) + (-1 + 3 + 0)*(1 - 1 + 2*i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*w - 3*w. Let j = -26 + w. Let r be 12 + 4\/(-16)*j. Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324124 (base 8) to base 11\nAnswer: 74683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203969\/7 + (-5 + 328\/56)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.1655533.\nAnswer: 0.3311066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f\/f**(-5\/7))**(3\/19) assuming f is positive.\nAnswer: f**(99\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c - 2. Let l be n(-5). Suppose 5*o = l*o + 6. Let f = 6.9 - 7. Which is greater: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*j**3 + 131*j**3 + 391*j**3 + 3 - 198*j**3.\nAnswer: 582*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 11*q**2 - q + 13. Let y be a(11). Suppose 2*o = 6*w - w - 25, -y*o + 3*w - 15 = 0. Solve 4 = 3*t + 2*u - 3, o = 2*t + u - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 111 = -5*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 93*x + 54*x + 39*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 0 - ((-172 - -118) + 71)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2766 = -5*v - 2791, -11*v + 10*v = 8*o - 31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 318 = 88 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 45\/(-12)) + -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 9. Let s = 5 + 0. Suppose 4*k = -5*j + 119 + 155, 0 = -q*k - s*j + 203. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 31203970*z + 48684387188045.\nAnswer: 5*(z + 3120397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*n + 14490 - 154773 = -1728*n - 2197*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 5495*f\/3 + 3710624\/3.\nAnswer: -(f - 608)*(f + 6103)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/4 + 87*x**3\/2 - 2799*x**2\/4 + 1272*x + 29760 = 0?\nAnswer: -5, 16, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**2 - 31 + 41*c + 35 - c**2 + 8*c**4 - 40*c in the form t + q*c**4 + m*c + p*c**2 + w*c**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + f**4 + (6*f - 3*f - 4*f)*(-2*f**3 - 3*f**3 + 3*f**3) + 11*f - 11*f - 11*f**4)*(-115 + 175 + 50).\nAnswer: -880*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q**2 + 4*q + 7. Let k be b(4). Suppose 19 = -49*u + 50*u. Solve -v + 0*d - k = d, -d = 4*v + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 257*a - 248*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7897.715 grams?\nAnswer: 7897715000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -15. Let y = -11 + d. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*d. Let n(b) = -7 - 10*b**2 - 2*b + b**2 + 4 + 6*b**d. Let g(o) = -7*o**2 - 4*o - 6. What is 2*g(k) - 5*n(k)?\nAnswer: k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 4. Let i(b) = -4*b**2 + 14*b. Determine j(i(w)).\nAnswer: 8*w**2 - 28*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -59 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - 3*d - 7. What are the prime factors of n(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 = -1622*x + 1654*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/6 and -125\/44454.\nAnswer: 44454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*q - 2748 = 0, q - 13 + 921 = x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*1.6511.\nAnswer: -1.81621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -5. Let v = -37 - p. Let w be (-3 - -5)\/(-2)*1 - -49. What is the biggest value in v, 1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*f**2 - 7 + 18*f - 12*f - 5*f + 7 in the form h + q*f**2 + l*f and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11875\/42 - -2062\/7. Calculate the common denominator of ((-2)\/(-12))\/((-1)\/103) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 96483.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 n, and 1 v when four letters picked without replacement from {n: 1, p: 4, v: 1, g: 1, o: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-25)*-5 - -2. Does 13 divide h*3*40\/48*26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 2*r**3 - 215 - 2*r**2 + 3*r + 70 + 74 to the form s*r**3 + g + d*r + y*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 19794?\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 18*a**2 + 8*a - 28. Let o be c(18). Suppose -o = -42*n + 13*n. What is the smallest common multiple of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1165 (base 14) to base 12\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104\/217 + -6\/31. Suppose 5*i - k = 1, 0*k + k = -1. Which is the nearest to i? (a) -3 (b) 1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1877.9998688 + -1878. What is j rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124901 and 5292.\nAnswer: 13489308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 4 + 40387*i**3 - 5.\nAnswer: 40387*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7547, 15111, 22663, 30197, 37707?\nAnswer: 45187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, x: 4, a: 4}. What is prob of sequence nf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = 4*h. Sort 5, h, 4 in ascending order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 8, g: 5, n: 5}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 3*j**7\/14 - j**5\/10 + 9*j**4\/4 + 38*j. Find the third derivative of v(a) wrt a.\nAnswer: 540*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-13)*s)\/(s**(-13\/5)\/s)*s**(-3\/20)\/((s\/s**18)\/s) assuming s is positive.\nAnswer: s**(209\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 13*t + 474 = 0. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820 and 2454940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/19 + (-3604720)\/(-35796). Factor 28\/3*t**3 + 160\/3*t**2 + 64 + x*t.\nAnswer: 4*(t + 2)**2*(7*t + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.52. Let i = 3330.1 - 3329.920003. Let a = i + q. What is a rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24195 - -0.241975177. What is s rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-21)\/5670*-9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 5*q + 5*q)*(-1 - 3 + 3)*(-3 - 2 + 3)*(3 - 1 - 4).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -4.05\nAnswer: -12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 315\/6. Suppose -5*t = -173 + d. Calculate the highest common divisor of 264 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -9. Suppose h*l - 2*l = -3*j + 1451, l - 281 = 4*j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 - 17*j - 10. Let c(b) = -9*b**2 + 20*b + 12. Let d(t) = -5*c(t) - 6*k(t). Give d(5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 17 - 8. What is the second derivative of -3*z + z + 6*z**n + 4*z + z**5 wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 7*h + 13. Let x(b) = b**2 - 5*b - 9. Suppose 14*m - 1485 = -41*m. Suppose 0 = 4*o - 5*o - 2*i + 1, -i = -5*o + m. Give o*k(c) + 7*x(c).\nAnswer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -26*w**2 - 9*w + 7. Give g(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*75\/15*(-2)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*255\/(-12) - (-28 - -33).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-100) - (17514\/855 - 20)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/7 + 1452*j\/7 + 15408 = 0.\nAnswer: -642, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(0 + 2*y + 0) - y + 4*y - y - 4 - y + 4 + 2*y - y + y + (2 - 4 + 0)*(0*y + 5*y - 2*y) + 2 - 2 + 2*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11850\/11 - 4313\/4. Let r = b + 8\/11. Put 3, r, 4 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240416 (base 8) to base 14.\nAnswer: -21d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315534 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16*n**3 + n**2 + 3*n - 1. Let p(d) = d**3 - d**2 - d + 1. Let g(a) = -c(a) - 2*p(a). Give g(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 + 260510*x + 3393273005 = 0.\nAnswer: -26051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(-4 - -6). Which is bigger: -10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = 16*q + 6, 0 = -5*k + 3*q + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12 - 10 + 6*z + 6*z + 2 - z**2. Let k be i(13). Let y = k - -38. Solve -y*c + 4*h - 18 = 0, -2*h = -3*c + 3*h - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:36 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 166\/973?\nAnswer: 166\/973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2034 - 2092 - 2091 + 8304 - 2087 - 48*q**3.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d - 7. Let l(h) = 5*h - 3. Let b(u) = 2*i(u) - 5*l(u). What is the lowest common multiple of 22 and b(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -13*m + 126. Suppose 10 = u + 2*f, -4*f - 1 = u - m. Put 1, -5, u in ascending order.\nAnswer: -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -12 + 2 + (35 - (-67 - -75))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at most -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 6. What is the nearest to 0.1 in m, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1972*v + 63099. What is f(32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -15, 6*y - y + 42 = -4*f. Let s be (y\/10)\/(1\/(-5)). Let k(n) = -s + n + 0 + 3. Let w(q) = 3*q**2. Calculate w(k(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:17 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.754 and -2.863677?\nAnswer: 3.617677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + y. Let m be s(1). Suppose -m*t = -2 - 4. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t - 4. Let g(p) be the third derivative of -5*p**4\/8 + 3*p**3\/2 - 2*p**2 - 296. What is 6*g(y) + 13*m(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908480?\nAnswer: 2, 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10374 - 10251. Calculate the remainder when 984 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007451 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/1 - ((-70)\/(-28))\/(10 - 1015\/98)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 2*h**2 - 2*h**2 - h + h - 2*h**2 + (3 - 4 + 0)*(-2*h**2 - 2*h**2 + 3*h**2) - 2*h**2 + 0*h**2 + 3*h**2 - 549*h**2 - 28607 + 28607.\nAnswer: -550*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 935 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*t = 121*t - 78. Find the second derivative of 13 - 2*w - t*w + 56*w**2 - 14 wrt w.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(6)\/(sqrt(12)\/sqrt(4)) - ((sqrt(2) - ((sqrt(2) + 1 + sqrt(2))**2 - sqrt(2))) + 2)) + 0 + sqrt(128) + 2*sqrt(128) + -2.\nAnswer: 40 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8847212 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598244 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: 173 divided by 173\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-585)*1*-243.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 892158 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 3:45 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3*r**4\/4 + 5*r**3\/3 + 4*r - 1. Suppose -204*k - 218 = -422*k. Let x(d) = d**2 + 1. Calculate k*w(v) - 5*x(v).\nAnswer: 3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 f when three letters picked without replacement from {j: 3, f: 1, y: 4, d: 1, z: 2, b: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {s: 4, w: 2, y: 2, j: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*n + b, 5*n - b + 5*b - 26 = 0. Solve n*j - 43 = -13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4185, -8378, -12575, -16776?\n\"Answer: -2*l**2 - 4187*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 2 = 5*o. Let a = 14 + o. Suppose a + 3 = 2*t. Solve 6*f + t = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -636, -597, -532, -441?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcek when four letters picked without replacement from {e: 1, k: 2, v: 1, i: 5, c: 1, y: 3}?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59690739 and 45?\nAnswer: 895361085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r. Let y(i) = -i. Suppose 3 = 3*q + a - 2, 0 = -4*q + a + 2. Let j(l) = q*h(l) - y(l). Find the second derivative of j(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 + 52. Let z be i\/(-21) - (-10)\/(-35). Suppose 5*x = -z*s - 6, -5*x - 10 + 0 = 0. Solve f - 18 = 3*w - s, 3*w = 5*f - 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2687854.688885 and 0.3.\nAnswer: -2687854.388885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243112842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {z: 4, b: 1, x: 1, s: 7, f: 3, o: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 169536, 340466, 511396, 682326?\n\"Answer: 170930*p - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130602011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.364 and 1.1?\nAnswer: -0.4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -283, 4, 1\/4 in ascending order.\nAnswer: -283, -2\/27, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11551413*t**2 + 21496*t - 171968. Let h(a) = -2687*a**2 - 5*a + 40. Determine -21496*h(v) - 5*p(v).\nAnswer: 2687*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g + 3*u + u = -26*g - 1540, 5*g - 3*u + 114 = -3 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 2*p + 237. Let w be a(0). Suppose q + 0 = -5*s - 8, 2*q - 4*s - 12 = 0. Suppose -w = -y - q*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(2 + 2*d - 2) - 3*d - d + 3*d)*(7*d + 10*d - 7*d).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23035 + -23034.88. Let w = -2.95 + -0.05. What is the closest to 1\/3 in w, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.78213 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 6. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357, 729, 1103, 1479, 1857, 2237?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88, 179, 268, 355, 440, 523, 604?\n\"Answer: -b**2 + 94*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5409*s + 57*s = 115405 + 161029 + 56992 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 811242 by -54.\nAnswer: -15023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 41. Let i be n\/(-2)*(-7 - -9). Let 0*s**2 - 947 + s**2 + s + 946 - s**i = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1759850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -106*p**3 - 5*p**2 - 550*p - 5. Let y(z) = -424*z**3 - 22*z**2 - 2201*z - 22. Let v(i) = 26*k(i) - 6*y(i). Find the second derivative of v(m) wrt m.\nAnswer: -1272*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1)*(-1)\/2. Let m = p - -10. Solve 0 = -2*i + m + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**5\/20 + 5*l**4\/12 - l**3\/2 + 5*l. Suppose 7*z = 5*z + 26. Suppose 4*y - 2*m = 14, 4*y + 2*m = 5*m + z. Determine g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1510, 1733, 2366, 3613, 5678, 8765?\n\"Answer: 34*n**3 + n**2 - 18*n + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - s + 160, -j + 5*s + 45 - 5 = 0. Calculate the smallest common multiple of j and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:49 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 471*k**2 + k - 624.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - c**2 + c - 2. Let z(x) = 5713*x**3 + 5*x**2 - 5*x + 10. What is -5*v(n) - z(n)?\nAnswer: -5723*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.883 <= 828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -1 - 17 - 6*l - 2*l**2 + 6*l - 12*l = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**3 - 5*h**2 + 5*h**2 + (9*h + 5*h + 2 + 15*h)*(2*h**2 - 2*h + 2*h) - 3*h**3 - 4*h**2 + 4*h**2 as x*h**3 + l*h**2 + g + t*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*g + 2*h, -34 = 3*h - 61 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23242 or -23244?\nAnswer: -23242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*x**5 + 2*x**2 - 229*x wrt x?\nAnswer: -5520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (sqrt(57) - (sqrt(684)\/(sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12) + sqrt(12)) + sqrt(57))))*3)\/((-2*-2*sqrt(33))\/sqrt(11)).\nAnswer: 9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*i + 18546 - 18738 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4144 and 2331?\nAnswer: 37296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3028974 is divided by 605779?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 46. Let s = z - 40.5. Let t = 17 + s. Which is the third biggest value? (a) t (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -180*s**4 - 22756*s**3 - 32084*s**2 - 10508*s - 1000 = 0.\nAnswer: -125, -1, -2\/9, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*m - 828, 5*m - 4*z = 563 + 470. Calculate the highest common factor of m and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-818)\/2*2\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 425 + -392. Let v = 591774.99905 - 591808. Let a = v + g. What is a rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -23?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -4 - (-6 + 7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-120)\/18 - -6) + 88\/6. Suppose w*q - 10*q = 20. Solve 7*f - 3*f = -5*l + 15, -q*l - f = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 - 134*o + 95 + 88 + (4 - 1 - 5)*(0*o - o + 3*o))*(-4*o + o + 0*o).\nAnswer: 414*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -4083.2558.\nAnswer: 4083.7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 1. Let z = 3121 + -3122. What is i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -0.03 (c) -662707 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 5*j - 3*j - 1809 = 0. Calculate the remainder when j is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9993 is divided by 1425.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2306, 5414, 8522, 11630?\n\"Answer: 3108*s - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 245?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/6*(7 + (-520)\/16). Suppose -a - x = -2*d, 3*d + a - 11 - 101 = 0. Find the first derivative of m**2 + d - m**2 + 53*m**3 - 20*m**3 wrt m.\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-20)*(-2 + -20). Let s(w) = w**2 + 13*w - 6. Let a be s(n). Let i = a - -28. Put 2, 4, i, 7 in descending order.\nAnswer: 7, 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 17 - 62 + 25 - 193*f**2 in the form l + p*f + d*f**2 and give d.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 115*b - 60*b - 59*b, -3*j + 40 = -b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3213?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9878.9 - 9879. What is the nearest to q in -2, 2\/19, 11, -1\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*a*p - 9*a*r**2 + 202*p*r**2 + 4*p*r wrt a.\nAnswer: 167*p - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/52925 and -1\/4475.\nAnswer: 9473575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 - 23*f + 11. Let q(p) = -2*p**2 + 8*p - 4. Let b(u) = -4*c(u) - 11*q(u). What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71240238?\nAnswer: 2, 3, 1013, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9394.841 millilitres to litres.\nAnswer: 9.394841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42185 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*g**(-7)*g)\/(g**(-1\/4)*g*g)**(1\/72)*((g**(-3\/2))**(2\/7))**(1\/3) assuming g is positive.\nAnswer: g**(-2353\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 0*x**3 - x**3)*(12 - x - 12)*(-6 - 4*x + 6).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -b + 132, -5*w + 118 = b - 2*w. Suppose 6*r + b = 10*r. What is the remainder when 92 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -105*d - 44. Let q be s(5). Let m = q - -571. Solve -m*p + 9*p = 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = f, 0 = 2*t - 3*f - 289. Let s(g) = -5*g - 1. Let p be s(-4). Calculate the highest common divisor of t and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 898.337 - 1.337. Let r = 897 - h. Is r >= 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -16*j**2 - 5*j - 1. Let q(l) = -15*l**2 - 6*l - 2. Let a(p) = -6*i(p) + 5*q(p). What is the derivative of a(u) wrt u?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22220 + -111111012101?\nAnswer: -111111112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -m + 30. Let i be (-1)\/((-2 - -4)\/2). Put m, -3, i in increasing order.\nAnswer: m, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 7*b**2 + 3*b + 17. Let h be c(-7). Let l(t) = -2*t**3 - 9*t - 5. Let w(j) = -j**3 - 4*j - 2. What is h*l(m) + 9*w(m)?\nAnswer: -m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*g + 141*y - 144*y, -g - 2*y = -7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 37 = -y. Are -66 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g + 8 + 12*g**2 - 5*g**2 - g**3 + 5 - 6. Let j be l(8). Suppose 28 = 5*r + t, -2*r + 2 = -5*t + j. Solve -10 - r = -3*x, -3*v - 3*x = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1344 divided by -192\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2\/3, 0.1, -2, -6 in ascending order.\nAnswer: -6, -2, 0.1, 2\/3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8. What is the nearest to 2 in l, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4 - 4. Solve 7*p - 2*p = -4*r - 4, -20 = -3*r + o*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y = -1011. Let z = -216 - y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*i - 4530, 9*l + 1818 = 7*l - 5*i. Let a = l - -623. Round a to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**4 + r**3 - r**2 - 1. Let w(x) = 144*x**4 - 4*x**3 + 4*x**2 - 1091*x + 4. Let u(k) = -4*m(k) - w(k). What is the second derivative of u(a) wrt a?\nAnswer: -1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1252066 (base 7) to base 9\nAnswer: -268864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-12))\/3)\/(3\/1794*13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 3, 2, -49, -13.\nAnswer: -232, -49, -13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) 3 (b) 2\/19 (c) -3\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 47 - 46, 0 = 5*o - 2*r + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3282859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0278 and 10972.\nAnswer: 10972.0278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*j + 4 + 6. Solve -j*a + 79 - 67 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -190, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.283 (b) -5 (c) -218 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Suppose 0 = -4*i + 22 - 2. Let x(q) = 312*q**2 + 32. Let f(p) = -48*p**2 - 5. Let z(k) = i*x(k) + 32*f(k). Determine n(z(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1675*w = 1657*w + 191790. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -45*o + 8. Let h(j) = 29*j - 5. Let f(s) = -8*h(s) - 5*y(s). Let t(g) = -27*g. Give t(f(u)).\nAnswer: 189*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(2*z + 0*z - z) - 243 + 22*z + 243 - 2*z + 1 - 1 - 3*z + 0*z + 6*z + z - z + z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*a - a + 278, 826 = -3*y + a. What is y rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.465745 centimeters?\nAnswer: 4657450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.004288 years in months?\nAnswer: 84.051456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 1795*i - 1800 = 0 for i.\nAnswer: -1, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 - 8\/16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 75*i**2 + 40*i - 97. What is o(38)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 322084 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 14*t**2 + 10. Let v be d(14). Calculate the common denominator of 23\/13 and (9\/v)\/((132\/45)\/11).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*s - 26 - 5 = 0, 0 = -4*t + 3*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243201, -238869, -234523, -230157, -225765, -221341, -216879, -212373?\nAnswer: -207817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Let u(c) = -15*c - 14. Let v(t) = -7 + t + 1 - 1 + 8. Let n(f) = d*v(f) - u(f). What is the first derivative of n(k) wrt k?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhsqqsqqhssh. Give prob of picking 2 q.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(1\/8))\/d))\/d*d*d\/d**(-13)*(d\/d**(1\/6))**(2\/15) assuming d is positive.\nAnswer: d**(1097\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-23)*t**(-14) assuming t is positive.\nAnswer: t**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147177?\nAnswer: 2147177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125275 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**3 - 3*v**2 + 4*v + 4. Let u(c) = -42*c**3 - 9*c**2 + 11*c + 11. Let s = 14101 + -14112. Determine s*z(h) + 4*u(h).\nAnswer: -14*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 8 = 2*w. Which is the third smallest value? (a) 11 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose -6*v + x*v = 0. Suppose -2*q = -4*h - v*q + 26, 11 = h + q. Calculate the remainder when 30 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8066 - 299.9734. Round u to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let w = -5533\/2 + 2766. Sort w, -0.1, -70, -0.4 in increasing order.\nAnswer: -70, w, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167329142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37966, 38049, 38188, 38383, 38634, 38941, 39304?\n\"Answer: 28*k**2 - k + 37939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1755?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 12:17 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229333877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-12) - (3 + (-24)\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 7, z: 3, k: 2}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11756599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -13 (b) 1\/2 (c) -2\/5 (d) -2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -968 + 5*p**2 + 968 - 29*p in the form o + l*p**2 + x*p and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10 = -4*g. Suppose -s - 4*z + 5 = -4*s, g*s = 3*z - 23. Let r = 8 + s. Which is the biggest value? (a) -0.3 (b) r (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*p = 10700000, 2*t - 6167913 + 1887913 = 5*p. What is t rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44*14\/56 - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 6. Suppose 5*i = t - 5, 0 = 4*t - j*i - 2. Solve t = 5*p - p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1665.11172 and 0.61.\nAnswer: 1665.72172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365.8 or -60164?\nAnswer: -60164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880630242 to the nearest integer?\nAnswer: 53672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -2*g - 5*t, -2*g = -5*t - 12. Suppose 5*m = -3*l + 927, -m + 2646 = l + 2331. What is the smallest common multiple of l and g?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 75. Let u be k(0). Let d = u + 11. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30556878604 - 0.021?\nAnswer: 30556878603.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43558057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 - 65*f + 4. Calculate l(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.08, 2080, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 2, h: 2, q: 2, x: 2}. Give prob of picking 2 m, 1 q, and 1 x.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 1\/192, -0.116?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/6)\/k)**(8\/13)\/(k**3*k*k\/k**(-30)) assuming k is positive.\nAnswer: k**(-1409\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 17. Let n be (18 + -2)*(-4)\/(-8). What is the units digit of t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - ((-4 - (-3)\/1) + 4). Solve -3*t + 14 = 2*o, u*t + 3*o = 7*t - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 20 = -5*s, -3*n - 17 = 5*s + 3. Suppose 0 = j - 5*g - 69, n = -3*j + 5*j - g - 147. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 - 178*d**2 + 358*d - 538\/3.\nAnswer: -2*(d - 1)**2*(d + 269)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {n: 8, g: 2, x: 8}.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 3\/24*-10996)*-4480. What is n rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**3\/3 - 3*x. Let m be b(-1). Suppose -m*i = 0, -5*t = -0*i - i - 55. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959007375 to the power of 1\/2, to the nearest integer?\nAnswer: 30968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 12*h**2 + h + 6. Let a be f(12). Let u = a - 13. Let x(n) = n**2 - 2*n - 1 - 3*n + n. Calculate x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 + 2. Let q be l(4). Suppose 27 = 5*a - q*r, -r - 8 = -a + 2*r. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -30. Suppose -5*p = -z + 2 + 31, 4*z - t*p = 117. Calculate the remainder when z is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -8\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*s = -250 + 859. Let c(i) = 2*i**2 - 7*i - 9. Let z be c(-6). Let u be (-3)\/((-5)\/(z\/9)). What is the highest common divisor of u and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -36?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3466982 and 18760?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 650894 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164736 is divided by 2742?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/6 + 4*v**3\/3 + 11*v**2\/2 + 376*v. What is q(8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*u - 4*t, -3*u - u - t = -5. Suppose 4*w = -5*n + 41, 0*w - 17 = -5*n + u*w. Let j be n\/(-10)*2*-1. What is the closest to 0.1 in -0.2, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 13*a**2 + 14*a - 27. Is n(19) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 121225*h + 727530.\nAnswer: -5*(h - 24251)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/6 - 8*w**3\/3 + 12*w**2 - 78*w. Factor d(u).\nAnswer: 2*(u - 6)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 71919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*x = 620*x + 2*f + 296, -3*x + 37 = -5*f for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 2266*b**2 + 11311*b - 13566.\nAnswer: (b - 2261)*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*g + 3513 = 10636 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -58. Suppose 0 = -c + a - 9. Solve -4*d = -16, c*d - d - 5 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 56. Let t(z) = 5*z - 5 + 1 + 2 - 16. Does 4 divide t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.9880984us in days?\nAnswer: 0.00000000031236225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 - 2 + 1 + 12*u**2 + 74*u.\nAnswer: -3*u**2 + 74*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8266.12 weeks to microseconds.\nAnswer: 4999349376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -28. Suppose 0 = 3*c + k - 254. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 160716?\nAnswer: 160716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/27664 and -93\/1737512.\nAnswer: 45175312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166.6 - 25.6. Let b = z - 138. Is 7 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -1, 6*y = 3*x + 2*y - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.047 (b) 0.3 (c) 409 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011 - -10100010101?\nAnswer: 10110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116*0.003693.\nAnswer: -0.428388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1191591 divided by 9\nAnswer: -132399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + 0.24. Let p = s - -3.7. Let d = -8 + p. What is the second smallest value in -0.4, -2\/13, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 h when three letters picked without replacement from {w: 2, j: 5, v: 8, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + sqrt(272))*2 + 5 + sqrt(272) + -6*(sqrt(272) + 3))**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 8 = 2*a. Let j = -1 - a. Is (-8)\/20 + (-122)\/j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 5*m - 2. Let u(h) = -16*h**2 + 19*h + 8. What is 2*u(v) + 9*x(v)?\nAnswer: 4*v**2 - 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 5\/312, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63111293405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 4*b + 86. Let u be s(-12). Is u <= 565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 + -11011?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -17\/14612566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*o**4*v + 3704682*o**3*v - 20*o**2 + 2*o + 1184148*v wrt o.\nAnswer: -720*o*v + 22228092*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/87260 and 73\/400.\nAnswer: 1745200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -3, -64, 132, 0, 0.32.\nAnswer: -64, -3, -2, 0, 0.32, 0.4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 2504?\nAnswer: 232872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p + 1. Let u(j) = -20*j - 10. Let c(h) = -h + 1. Let y(w) = 10*c(w) + u(w). Determine y(q(o)).\nAnswer: 120*o - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6010 - -6066. Calculate the highest common divisor of p and 2534.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -587, -1013, -1441, -1865, -2279?\nAnswer: -2677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 8*f + 419*f**2.\nAnswer: 419*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -34?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/7))**(1\/23) assuming v is positive.\nAnswer: v**(-3\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, k: 1, j: 1, i: 1}. What is prob of sequence mi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 7*l)*(3*l - 3*l + l**4) + 24*l**5 + 15355*l**3 - 252*l**5 - 15353*l**3.\nAnswer: -230*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 6*v, 5*v - 12 = -a. Suppose 5*n - 8 = -g, 2*n + 60 = 3*g - n. Calculate the highest common divisor of g and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/((-2)\/(-3))*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*u - 183 + 659 + 1129 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1995*b**2*k + 1410*k wrt b.\nAnswer: 3990*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690081 to the power of 1\/2, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1331245 or 9318719\/7?\nAnswer: 9318719\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -257, -255, -253, -251, -249, -247?\n\"Answer: 2*c - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-246)\/205)\/(4*(-9)\/(-140)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6168761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-13)\/(-1092))\/((-161)\/(-46))?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-4 - -10) + -3. Let f be (126\/(-14) + j)\/(2\/36). Which is the biggest value? (a) -3\/2 (b) f (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - -6. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 920 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 6*q**2 + 3. Let h be (-6)\/(1*(-3 + 4)). What is i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26280927 is divided by 158.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19172739 to the power of 1\/2, to the nearest integer?\nAnswer: 4379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*j - 4*j + 133, -145 = 18*j - s - 222 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*b**2 - 3209*b**2 + 1452*b**2.\nAnswer: -1945*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*b - b = 13, 3*j = -5*b + 31. What is the common denominator of (0 + j)*57\/(-16) and -43\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u - 3. Let s be f(-12). Calculate the greatest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80309883268958 minus -2?\nAnswer: -80309883268956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2020 or 2021?\nAnswer: 2020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -905*k + 29837. Determine j(33).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 71954 divided by 1\nAnswer: 71954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73599 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5759 and -3816714.93.\nAnswer: -3816715.5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86748 is divided by 419.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -7*x**3\/6 + 15*x**2\/2 - 186*x. Let k be s(2). Which is bigger: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 9. Let s be (4 - 3)*10\/(-2). Let y be k(s). Which is smaller: y or -2\/71?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(2 + 9\/(-2)). Let c = 13 - x. Let u = -17 + c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 57209940.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 5. Let i be q(-4). Suppose 4*h - 3*a - 17 = 0, -3*h - 4*a - 4 = h. Sort -5, i, h.\nAnswer: -5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873017.\nAnswer: 3, 69371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/40)\/(1\/5). What is the third derivative of -2*m**2 - 18*m - w*m**6 + 2*m**6 + 18*m wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1754138.62 + 1754147.6199999. Let n = 9 - i. What is n rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0 - 30*q + 1\/42*q**7 + 16\/3*q**4 + 1\/3*q**6 + 37\/20*q**5 + 8*q**2 + 26\/3*q**3. Find i, given that b(i) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118666*z + 118714*z + 144 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - (1 + 15\/3). Suppose -g*v + 36 = -3*v. Let x = -3.08 + 0.08. Which is the third smallest value? (a) v (b) -0.04 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/680 and -137\/6580?\nAnswer: 223720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4422 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3\/205 in increasing order.\nAnswer: -3, 3\/205, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-130)\/(-3) - 20\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(125)*6 - (sqrt(5) + sqrt(125))*4) + 5 - ((sqrt(720) + 1 - sqrt(720)) + -4 + sqrt(720) - (3 + -2*sqrt(720) + sqrt(720)))**2.\nAnswer: -2911 + 295*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 375 - 325. What is the remainder when x is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 37*c**2 - 2475*c - 41210. What is v(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.87 + 0.13. Let l = 0.71 - -0.09. Let o = -1.8 + l. Is p > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 308, 1599, 3876, 7139, 11388?\n\"Answer: 493*t**2 - 188*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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 h = 3 + 4. Find m, given that -3*m + 3*m**4 + 12*m**3 + 4*m**2 - 8 + m**4 - 2*m - h*m = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 22*w = 2. Solve 8 = -3*u - 4*r - 3, -w*u + 3*r = 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715 and 216864505?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-25)\/(s\/s**(12\/13)))\/(s**(-6\/23)*s*s**(-8)) assuming s is positive.\nAnswer: s**(-5327\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -170887 - 267496. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34584771 and 4264.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3 - 2073*t + 22660?\nAnswer: -6*t**2 - 2073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 6 - 98 - (-63 + (27 - -17))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q. Let r(g) = -14*g - 1. Let o be 119 + -132 + 11*1. Calculate o*r(k) + 3*i(k).\nAnswer: -11*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -322413 (base 6) to base 9\nAnswer: -40320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -14, -113, -2, 1 in increasing order.\nAnswer: -113, -14, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000134102108 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 144*b - 151*b. Let q(k) = -10*k**3 - 2*k**2 + 9*k + 8. What is the thousands digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.1. Let r = -0.2 + s. Let v = -12221.4 + 12221.6. Which is the closest to -4? (a) 0.5 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29011691.\nAnswer: 31, 935861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -665, 0.58, 4?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30879*n**3\/7 - 298695*n**2\/7 + 187188*n\/7 - 1188\/7 = 0. Calculate n.\nAnswer: 22\/3431, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*c - c + 71, 5*c = 3*l + 368. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1285623 (b) -2\/11 (c) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5190\nAnswer: 1\/5190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*v - 51 = 0, 2*m - 34 = -v - 4*v. Let o = -10 + m. Suppose 4*f - 1 = o. Put -2, f, 4 in increasing order.\nAnswer: -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 14 + 3 - 38\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5569 - -6691. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-4)\/36*-569 + (-24)\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/13*(-3 - 4727820\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**2*x\/x**(-2\/25)*(x**(-12))**(8\/5) assuming x is positive.\nAnswer: x**(-378\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174956*y**4 + 443525*y wrt y?\nAnswer: -2099472*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 316775, 316767, 316759?\n\"Answer: -8*r + 316783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/9 - (-10)\/15. Let w = 92 + -87. Let k(p) = p**2 - 3 - w*p + 0 + 9. Calculate k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 20027 + 461*k**3 + 3*k - 20026.\nAnswer: 461*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317413*x**2 - 317415*x**2 + 1 - 1.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 + f**3\/3 - f**2\/2 + 4*f. Let n be -3*(4 - 28\/6). Suppose n = -4*x - 2*b, -3*x = -x - 5*b - 29. Determine j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21625\/96265704 + -27\/11111. What is the common denominator of b and 87\/16?\nAnswer: 17328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 + d - 6 + 3 + 2*d**3. Let o be (-2)\/6 + 32\/24. Let x = 1 - o. Calculate g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.79 + 0.21. Let r = -5 + o. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95184\/16283 or -7?\nAnswer: -95184\/16283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, i: 4, f: 1}. Give prob of sequence mmmi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v = -124 - 381. Solve v*q - 2*p = -5, 5*q - 73*p + 20 = -74*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45150)\/150)\/(7\/(-6))*1\/6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81.48 + -2.72. Let g = b - -84.19998514. What is g rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0122 times 0.231?\nAnswer: 0.0028182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 3.307041 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*j + 1695 = 35*j + 606 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -447. Let b = 1142 + -722. Is g smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443605376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -26*m + 130. Let i be f(5). Let p(j) be the second derivative of -j**3\/6 - 6*j**2 - 7*j. Give p(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 + (9 - (13 + (32 - 46)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-13)\/(-632255)*137).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 23*u**3 - 38*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -898, -896, -894, -892, -890, -888?\n\"Answer: 2*z - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29270 is divided by 1829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -446662687.27 - -446662212.26999783. Let y = 475 + p. Round y to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let s(a) be the first derivative of 157 - 67 - 72 + 14*a**2. What is s(z(m))?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 104*d + 1838. What is the tens digit of g(66)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*14\/112*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174472 is divided by 57769?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -5*s, s + 2 = 11*y - 12*y. Put 17, 31, s in descending order.\nAnswer: 31, 17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 10*a**2 + 9*a + 2. Let l be t(-9). Suppose 0 = l*s - 1 - 17. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a factor of 169819549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30805, -61539, -92275, -123013, -153753?\nAnswer: -184495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3)*i**(1\/5))\/(i**(2\/5)*i**(-2)*i) assuming i is positive.\nAnswer: i**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 7*o**3 + 2*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(392)\/(sqrt(7)*-2))\/(sqrt(392) + 2*sqrt(392) + sqrt(8)))**2 - ((2*sqrt(84))\/sqrt(12) + (sqrt(56)*-1 + sqrt(56))\/sqrt(8) + 1).\nAnswer: -2*sqrt(7) - 1929\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2332487131\/854 + 2731250. Let i = f + 39\/61. Calculate the common denominator of i and 121\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64021144.\nAnswer: 2, 11, 23, 47, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -2\/5 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8953541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*f**3 - 3*f**4 + 489*f - 5*f**3 - 482*f + 2*f**2 + f**4 to x + a*f**2 + z*f**3 + l*f + j*f**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 226691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(396) + 1)*1 + sqrt(396) + -1 + -4 - (4*(sqrt(396) + 0 + sqrt(396)) - (sqrt(396) - ((sqrt(396) + 0)*-2 - sqrt(396))))) + 2))**2 + 5.\nAnswer: 1200*sqrt(11) + 39705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:26 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 464133?\nAnswer: 464125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -424236 - 16?\nAnswer: -424255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 2. Let d be y(6). Let h = d + -21. Suppose 18 = 5*u - h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 71*z**2 + 202*z + 254. Calculate the least common multiple of w(-68) and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*d - a + 12, 0 = 2*a + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 54319 = 2022. Suppose -n = -6*p - 1069. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 - 3)*(0*p**3 + 2*p**3 + 0*p**3) - 3*p**3 + 8*p**3 + 3*p**3 + p**3 + 2*p**3 - p**3 in the form s + q*p**3 + n*p + u*p**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 160. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvccvcycccvcvcc. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 601874 and 79368.\nAnswer: 7222488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*p - 97 - 92 + 136 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5799949, 11599846, 17399743, 23199640?\nAnswer: 28999537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 0*k**2 + 3*k + 6 - 2*k**2.\nAnswer: -3*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -46 (b) -34 (c) -15 (d) -0.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.6 and 28.\nAnswer: -380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_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 v(c) = -2*c - 12. Let y be v(-9). Suppose 2*z - 8 = -y. Sort -2, z, -1.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 860*i**3*z**2 - 4*i**2*z**3 - 3*z**3 - 1280*z + 51 wrt i.\nAnswer: 2580*i**2*z**2 - 8*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 26*f - 21*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6801054 divided by 8697?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 38. Let m(r) = -5*r**3 + 2*r**2 - 2*r - 2. Let l be m(c). Does 6 divide -1 + -3 - 0 - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01503 + 0.015027912. Round j to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219461\/20902 + -5\/10451. What is the nearest to 0.04 in -3, q, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19368491, 38736984, 58105477, 77473970, 96842463?\nAnswer: 116210956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2958 by -58.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955*r**2 + 2869*r**2 - 955*r**2 - 959*r**2 + 6*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250801?\nAnswer: 17, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-210)\/(-7)) - (-38 + 1272\/(-180)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6\/11, 6 in ascending order.\nAnswer: -3, 6\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 545.08 - 509. Let m = t + -37. Let l = 0.9200074 + m. What is l rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11278, -22555, -33832, -45109?\nAnswer: -56386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {v: 3, p: 1, m: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 372\/5. What is the third smallest value in q, -0.1, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/14 - -13\/70. Let u = -0.7 + 0.66. Let d = -8.04 - u. Are d and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 6*f. Determine t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 8) to base 9\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1116\/13 - 3400\/39. Sort -4, 1, w, -0.27, 0 in increasing order.\nAnswer: -4, w, -0.27, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*y**3 - 188*y**3 - 10*y + 348*y**3)*(y**2 - 2*y**2 + 3*y**2) - 4*y**5 + y**5 + 2*y**5.\nAnswer: -59*y**5 - 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-5)\/(-175)*7*(-25)\/10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/15*-3*(-4305)\/(-1968).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 1394084.\nAnswer: 1394084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11666, -23497, -35328, -47159, -58990?\n\"Answer: -11831*h + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -3, -3\/5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5225 divided by -1045.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhrtrhnpthtt. Give prob of picking 1 h and 2 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -m - 4*m + 48, -2*m - 7*m - 8*m + 15*m = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 + 1652 - 1652 - 2930*c + 2930*c.\nAnswer: -61*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 29887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 12*x + 20 = 0. Let y(d) = -d**2 + 5*d. Let l be y(x). Which is the third smallest value? (a) -5 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.8, -0.5, -118, -0.3, -14.\nAnswer: -118, -14, -0.5, -0.3, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbppk. What is prob of sequence bpp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 4*p)*(0 - 5 + 1) - p - 1 + 0*p + 10.\nAnswer: 7*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 - 4*i**4 + 0*i**4)*(-3 + 5 + 1)*(6 - 6 - 3).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*u - 70*u + 1100 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2\/6 - (-34)\/6. Suppose 0*l - 3*s - 3 = -3*l, 2*s = 4*l - r. Solve -a = -2 - l, -a = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 + 5. Let t be (-2)\/4 - 22\/(-4). Let x(b) be the first derivative of 0*b**2 + 4\/3*b**3 - 7 + 2*b. Determine t*x(r) - 2*i(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**7\/420 + h**6\/120 - h**2\/2 + 2*h. Let k(g) be the first derivative of z(g). Determine x, given that k(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1171, -0.5, -4\/11, 1.1 in descending order.\nAnswer: 1.1, -4\/11, -0.5, -24, -1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -7*u**8\/240 + u**7\/15 + 101*u**6\/600 - 31*u**5\/150 - 13*u**4\/30 - 4*u**3\/15 + 8*u**2. Suppose b(v) = 0. What is v?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 - 20*i**2 + i**4 + 43*i**2 - 28*i**2 to d + p*i**2 + k*i**3 + v*i**4 + q*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -2490 - 66. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -383, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4981515 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 + -87. Let j = -88 + h. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12556 or 19?\nAnswer: 12556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 5*s + 2. Let d be w(-5). Is d greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.266 + -541.016. Round j to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - (-4 + 20\/9) and -1\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6221*u**2*v**2*w - 19635*u**2*w**3 - 2*u*v**2*w**3 + u*v**2*w**2 - 277*u*v**2*w + 2262*u*v*w**2 + 4*u*v*w wrt u.\nAnswer: -12442*v**2*w - 39270*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + -1 + sqrt(112) + -1 - (sqrt(35)\/(-3*sqrt(5)) + 0).\nAnswer: -2 + 25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169.49 - -169.59. Sort -1\/3, 12, r, 17, 2\/9.\nAnswer: -1\/3, r, 2\/9, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.067251129 take away -30.2?\nAnswer: 44.267251129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6467392, 12934780, 19402168, 25869556, 32336944?\nAnswer: 38804332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - -3*-1*sqrt(77)) - sqrt(77))\/(sqrt(99) - sqrt(99)*-1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -k - 5, -4*m + 0*m - 4*k + 28 = 0. Suppose 3*n - m*b = 0, -3*n + 9*b - 9 = 4*b. Solve -3*y - n = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295896 is divided by 49311.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -28*c**2 + 4*c + 3. Let o be w(-2). Is 7\/(7\/2) - o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*56\/(-128))\/(9\/(-24)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -4723*f**2\/2 - 12*f + 117. Is l(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 15*x + 1. Determine k, given that 3\/2*k**2 + x*k + 27\/2*k**4 + 9*k**3 + 0 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*n - 3 - 11 = 0, 2*k - 16 = -2*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:10 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-10) - 13\/(-26). Which is the third biggest value? (a) 2\/39 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/660 + (-10)\/75 - (-37242)\/99?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n - 18 = -45*n, -4*v - 4*n - 36 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -36*t**3 - 10*t**2 - 2*t + 11. Is j(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72 + 415b4?\nAnswer: 41666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-61)\/3 - 2\/(-6). Suppose -p + 2*b = -56, 2*b = p - b - 56. What is the units digit of (p\/35)\/((-1)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-88)\/(-36))\/((12\/(-9))\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (394\/(-6895))\/((-2)\/(-14)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5899 by 5.\nAnswer: 5899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 0*c**2 + (0*c - 3*c - 2*c)*(2 + 5*c - 2))*(-45*c + 0*c + 3*c).\nAnswer: 1134*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46686 - -66351. Let a = o - 668529\/34. Calculate the common denominator of -79\/22 and a.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -132, -200, -268?\n\"Answer: -68*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:37 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 - 4*d**3 - d**2\/2 + 3*d - 1. Let l be q(12). What is the least common multiple of 6 and (-4)\/(-36) + (-89)\/l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Let s = h + -2. Solve -2*n + 0 = 4*t - 14, -n + s*t - 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 33. Let o(y) = -3*y**2 + 3*y - 2*y**a + 4*y**2 + 1. What is o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/(-6) - (-1)\/(-2). Suppose 4*u = -o - 2, -u - 1 = z. Let p = 3.95 - -0.05. Which is the second biggest value? (a) p (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4385 is divided by 2437?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10094929591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1294*z. Let m(r) = 16*r + 2. What is -m(o) - q(o)?\nAnswer: 1278*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -15*j. Let l(i) = 3*i**2 + 1129*i. Give l(g(y)).\nAnswer: 675*y**2 - 16935*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1835 - -1839. Which is the nearest to 0? (a) 0.4 (b) n (c) 2\/67 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 3, w: 1, h: 4, s: 6}. Give prob of sequence ws.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(-1)*(-960)\/(-512)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 21*m = 2*p - 49, 17*p - 23*p + m = 21*p + 379 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 4*i**2 + 6*i - 2. Let b be o(7). Let h = 518 - b. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2552 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6 + 12 - x**3 - 3*x**2 - x + 19*x**2 - 3*x**2. Let w be t(13). Solve 4*z = w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400136862 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8*x + 14 = -6*x, k - 4*x - 14 = 0. Suppose -4*m - y + 336 = 0, k*y - 10*y = 3*m - 233. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 75. Let k = y - 18. Is 4 a factor of 17\/2*(k + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1136 = -1136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/519 and 4\/(-28) + 3586\/(-770).\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*i**5 + (-5 - 10 + 3)*(i**5 - i**2 + i**2) + i**5 + 3*i**5 + 0*i**5.\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7 + 11 = -5*k, 0 = k - 3*d + 14. Is 128312\/56 + k\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let i(z) = -z**3 + 4*z**2 - 2*z - 3. Let u be i(3). Find the first derivative of -2 + u + 3 + 2*q**x wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2715013 and -1759133?\nAnswer: 955880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 676989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 231164908.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -26*w + 8. Let t be i(-3). What is the highest common factor of 129 and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507249183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19*(-1 + (6 - 0) - -5). Let s = l + -195. Let n(j) = j + 9. Determine n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738 and 533?\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2579*g**5\/20 + 645*g**2\/2 - 2510*g. Find the first derivative of p(w) wrt w.\nAnswer: -7737*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204116437 > -204116437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from hhvhvh?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 711892246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = 27*v - 216*v. Solve -v*s = 1730 - 1706 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 7, 1, -11, -29, -53?\n\"Answer: -3*h**2 + 9*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(3) + sqrt(99) + 2 + -1*(5 + sqrt(11) + -2) + 3)**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(5*o**2 - 3 - 3*o**2 + 0*o**4 + 2*o**4).\nAnswer: 2*o**4 + 2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1924\/61 + -46903\/1342. What is the common denominator of 36\/(-106) + 1\/2 and x?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*m + 5660187 + 2395838, -2*m = -5*k + 40280093. Let v = 12243806 - k. Suppose -7*q = -v - 3512211. What is q rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, -114, -481, -1192, -2361, -4102?\n\"Answer: -19*h**3 - h**2 - h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 + 272 = -2*a - 2*c + 5*c, 8*a + 28 = 2*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/115 and 44\/25.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5\/2 (b) 0.3 (c) 1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222752\/63 + -3535. Calculate the common denominator of 61\/63 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 591282*r**5 - 259203*r.\nAnswer: 11825640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -127.7. What is the closest to 2 in k, 3, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (678\/(-565))\/((-1)\/10*9)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - 7*d)*(0*d**2 + 4*d**2 - 5*d**2) + d**3 + d**3 - 3*d**3 - d**3 + 2*d**3 - 2*d**3 - 9*d**3 + 91*d**3 - 39*d**3.\nAnswer: 49*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*3*-4 - (sqrt(228) - (sqrt(228) + (sqrt(228)*-3 + sqrt(228))*-3) - sqrt(228)))\/(-4*(sqrt(12) + (sqrt(36)\/sqrt(3)*4 - sqrt(12)))*1).\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*c - 6 = 0, -2*j - 6 = c + 4. Suppose 128 = 39*a - 43*a. Is ((-15)\/(-4))\/(j\/a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.825196727 take away -14?\nAnswer: -17.825196727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4658 and 96.\nAnswer: 447168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*(-2)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 3. Let i be n(-6). Let t(j) = j**3 - 8*j**2 - 8*j - 4. Let m be t(9). Suppose 2*h = -m*p + 49, i = 5*p - 6. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 143, 141, 137, 131, 123, 113?\n\"Answer: -j**2 + j + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 7*f**4 + 85*f**3 - 4*f - 83*f**3 to s*f**3 + g*f**2 + u + a*f + j*f**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 517, 778, 1039, 1300?\nAnswer: 1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234880*z**2 + 12557*z + 2?\nAnswer: -469760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-17)\/((-12)\/(-18)). Let f be 6\/(-15) - v\/15. Suppose -a = 3, -f*c + 34 = 3*a - 74. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21211\/18 + 1175. Let p = 413\/72 - x. What is the common denominator of 4\/14 + 272718\/(-9156) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -25.245?\nAnswer: -0.25245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/9 + 119932*c**4\/9 + 1797960578*c**3\/9 = 0?\nAnswer: -29983, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 39 - 5 - (-5 - (4 + 0 + -21))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -33*u + 2266. Calculate i(21).\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 6. Let g = -9 + 2. Calculate j(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 30*u - 357. Let q be v(12). Let z = 1.4 - -6.6. Which is the nearest to z? (a) -2 (b) 3\/4 (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 10*k + 13. Let r be v(-11). Let i(w) = -2*w**r - 1 + 1. Let d(n) = -n. What is i(d(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 2*n - 2. Let y be s(-7). Suppose 0 = 4*i - y, -25 = 5*q + i - 8. Is 22 a factor of 88*5\/(-20)*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -889075 to the nearest one thousand.\nAnswer: -889000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381.1 less than -42?\nAnswer: -1423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -2*x, -5*g + 4*x = -754. What is the highest common factor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + (8 - (-104 - -51)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5475 and 1248738?\nAnswer: 31218450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 2*z**2 - 4*z**2)*(-9*z + 0*z - 4*z) in the form o*z**3 + t + b*z**2 + c*z and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61508588?\nAnswer: 2, 31, 401, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23 - ((-3 - (-11 - -4)) + -5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 + 5*f - 2. Let o(j) = -11*j**2 + 11*j - 5. Let d(v) = -6*o(v) + 13*s(v). Let g(u) be the first derivative of d(u). What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 7) to base 10.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -458 (b) -25 (c) 0 (d) 0.1 (e) 2 (f) -1\/2 (g) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*g + 90*g + 3*s - 347 = 0, -5*g - 2*s = -895. What is the remainder when 225 is divided by g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.451 + 19.141. Which is the closest to 0.1? (a) 2\/19 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**5 - 9*q**5 - 4*q**5 - 11*q**2 wrt q.\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.55686*0.9\nAnswer: -1.401174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -2, 2 in decreasing order.\nAnswer: 15, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 5. Let v be s(4). What is the remainder when v*(-9 - (0 - -2)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j - 1\/48*j**8 + 4*j**2 - 5\/2*j**3 + 0*j**6 - 1\/24*j**4 + 0*j**5 + 0 + 0*j**7. Find the second derivative of w(r) wrt r.\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfaf when four letters picked without replacement from kkabafabbbbyaafk.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700 a factor of 2336271815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*d = 52, 548*d - 40 = -5*v + 549*d for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2131914 + 92*a**3 - 2131914.\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 18*r**2 - 42*r - 27. Let u be n(15). Solve 105*d = 114*d + u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2*t + t = -2*m + 21, -7*m - 3 - 6 = 5*t + 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r + 314*r = 3557*r - 387696 for r.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -52, 142 in increasing order.\nAnswer: -52, 1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 584, 583, 582?\n\"Answer: -s + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 63*m**2 + 4*m + 20. What is the thousands digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -103351 and 0.72329941.\nAnswer: -103350.27670059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -436.75 - -445. Let s = t - 8.3. Which is the smallest value? (a) 6 (b) 4 (c) s (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 27\/4. Which is the second smallest value? (a) 0.3 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2040.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15120340 + 5?\nAnswer: 15120345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-27) + 47\/(-3). Let p be ((-21)\/j)\/(2\/10). Find the second derivative of -2*s - 2*s - p*s - 11*s**3 + 2*s**3 wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212807321.\nAnswer: 3, 11, 53, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -25*w + 8. Let d(k) = -25*k + 11. Give -5*c(h) + 4*d(h).\nAnswer: 25*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 - -288. Let t = 5903 + -3728. Suppose -5*j - u*q + 2187 = -q, 5*q + t = 5*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.816292 rounded to two decimal places?\nAnswer: 83.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 29. Let g = 3.01 - 0.01. Which is the smallest value? (a) g (b) 0.1 (c) l (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**2\/2 - 4*o - 86. Suppose -2*p - 4 = 3*f - 0, 5*p - 5*f = 40. Calculate y(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/7, -155, -28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (-1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28741 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 2720 = -4*k - 2628, 2*f - 35*k = -533 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 64*n**3 + 286*n**2 + 7366*n + 42. Let r(k) = -20*k**3 - 95*k**2 - 2455*k - 12. Let c(y) = 7*r(y) + 2*u(y). Find the second derivative of c(h) wrt h.\nAnswer: -72*h - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 3 = -54*b, 2*f - 4 = 11*f - 5*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20018917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:47 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 + 17*q**3\/3 + 9*q**2 + 5*q - 12. Let r be y(18). Does 9 divide (r\/(-1))\/(-5) + -1 + 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 4*o + 92 = -3*u, -4*u + o = 23 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4553 + -44.3.\nAnswer: -4597.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -3, -0.72, -5?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*i = 111*i - 2*b - 15, 0 = i + 3*b + 6. Put 36, 4, i in increasing order.\nAnswer: i, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3080280 rounded to the nearest 1000?\nAnswer: 3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109409.\nAnswer: 37, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 3. Let j be r(-4). Let n be (j\/(-2))\/(2\/(-28)). What are the prime factors of (3\/(-1) - -2)*n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -5*h**4 + 2525*h. Let a(v) = -v. Calculate a(i(q)).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, -88\/23, -2\/9, -2\/231, 0.3, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -378\/2197775 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -7*z - 12. Suppose 52 = z*d - 9*d. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029247 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1984\/(-93)*((-795)\/(-30) - 25)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 8*f + 4. Suppose 2 + 6 = -d. Let w be t(d). Solve -w*c - 9 - 17 = 5*s, -3*s + 2 = -2*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.043 and 1522178?\nAnswer: 65453.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 less than or equal to -9385322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30*q**3 + 3*q**2 - 20*q + 8. Let p be (0 + 4)*(0 - 49\/(-14)). Suppose -2*z + 2 + p = 0. Let n be g(z). Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*k**4 - 2971*k**3 - 140396 wrt k.\nAnswer: -72*k**3 - 8913*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 320.3?\nAnswer: 3843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 d when four letters picked without replacement from qqbdqvndnwqqvnddnnd?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 + -336. What is the hundreds digit of (-24)\/16*h - 554\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101519569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828 = 4*h + 1856 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5967, 11881, 17795?\nAnswer: 23709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8038377 or 8038400?\nAnswer: 8038400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2473390, -2473397, -2473408, -2473423, -2473442, -2473465, -2473492?\nAnswer: -2473523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -636, -626, -602, -558, -488, -386, -246, -62?\n\"Answer: a**3 + a**2 - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 9. Let l be (3\/((-18)\/4))\/(d\/(-6)). What is the closest to 0.1 in 1, l, -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + 1\/1 - -2. Let y be n\/10*10\/(-4). Suppose 5*q - 3 = c, -2 = -2*c + q + q. Solve -c*u + 4 = o - 3, -y*u = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 1, v: 1, w: 5, l: 1}. What is prob of sequence vww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (2425\/14 + -2). Let f = c + 165. Find the common denominator of -71\/22 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c. Let h(k) = k - 2. Let a(w) = -15*w + 36. Let v(l) = a(l) + 18*h(l). Give u(v(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-208)\/1092).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 8 - 7*m + 3*m - 2*m. Let z be w(-5). Solve i + z = 4*l, 3*l + 2*i + 5 = 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 - 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 41 = -2*m. Suppose -4*c = 12, 0*c = 5*f - 2*c - 6. Suppose -k = -f*k - m. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m**2 + 739*m - 739*m.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 11, u: 1, b: 1}. Give prob of picking 1 u, 1 b, and 1 c.\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 - 49*p**4\/3 - 110*p**3\/3 - 77*p**2\/3 - 10*p\/3 = 0. Calculate p.\nAnswer: -5, -2, -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6615 - 6613. Solve 2*p = i - 5, 3 = g*i - 3*p - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (15 - 22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/12)*f\/f**4*f**(-2\/5)*f\/f**8 assuming f is positive.\nAnswer: f**(-629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664215 is divided by 102?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2620*i**3 - 6047*i**2?\nAnswer: 15720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4803516 and -131\/270240.\nAnswer: 192140640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*q + 0 - 73 = 0, 0 = -4*x + 5*q + 72. Let j = x + -17. Let l be (7 - -3)*(-2)\/j. Calculate the highest common factor of l and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*m**2 + 2)*((5 - 1 - 5)*(3 + 0 - 4) + 0 + 2 - 1 + 0 - 4 + 1).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*5\/(-50))\/(6\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -634\/13 + 49. Suppose f = -3*f + 4*w + 16, -f + 3*w + 10 = 0. Is v > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-84)\/(-16) - 3)\/((-3)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 + 68*m**2 - 401 + 0*m**2 - 23*m**2 - m**3 + 84*m**2 wrt m?\nAnswer: -9*m**2 + 258*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + -1 + -6 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6383\/51410?\nAnswer: 6383\/51410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(832) + -2) + sqrt(832).\nAnswer: -12 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqpp. What is prob of picking 1 p and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(2057) + -1) + (sqrt(51)*1)\/sqrt(3) + sqrt(136)\/(sqrt(8) - (sqrt(72) + sqrt(8))) + sqrt(17) + 2)**2.\nAnswer: -11200*sqrt(17)\/3 + 2178205\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11))**(-20) assuming x is positive.\nAnswer: x**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4416859 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.85 - 0.15. Let r = o + 3. Let s = -1717.2 + 1717. What is the third biggest value in -4, s, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119909?\nAnswer: 19, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.1*-9.1.\nAnswer: -128.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. Let m = a - 56. Let t be (1 + 0)\/(m\/22). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -166. Let r = o - 47. Solve v = 2*c + 4 - 16, r = -3*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 7*f**2 + 5 + 8*f**2 in the form j*f + s + v*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29914.\nAnswer: 2, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-46)*(-21)\/1785*17.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzzzzv. What is prob of sequence zz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93780395.\nAnswer: 5, 113, 165983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 2*y**2 - 9*y + 2. Let l be u(4). What is the units digit of 336 - (-3 + (l - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**3\/6 + 8*m. Let h(d) = -4*d. Determine v(h(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 14. Let i = -1 + -2. Let v(a) = -4*a - 3. Calculate the lowest common multiple of v(i) and x(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7625*t**3 - 23*t - 27*t + 50*t + 2775*t**3)*(-3*t + t - 5*t) to h + u*t + k*t**4 + c*t**3 + g*t**2 and give k.\nAnswer: -72800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let f = 2\/17509 - -1610814\/122563. Let o = f - 94\/7. Which is the closest to r? (a) 0.2 (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 > 0.0313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 18, -3\/4, -1, 230, -1.8, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 13*f + 25*f = 0. Solve f*v + 4*v = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.1 - -154.89. Let o = j + -1.79. Let r = 78.6 - o. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -1116\/13. What is the second smallest value in 2\/7, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 2, c: 2, h: 8}. Give prob of picking 2 c and 2 y.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 19. Calculate q(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2679639+-55\nAnswer: 2679584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + 11. Suppose 0 = 2*h + 43 - v. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-3 + 0 - (4 - 9) - (-201 - -197)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2398 + 2400. Solve -4*a - t*w + 9 + 3 = 0, 2*w = -5*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 46 + -145 + 76.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 11*y + 21. Is o(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2. Let g(t) = -2*t - 1. Let j = -203 + 204. Let u(s) = 90*s + 54. Let o(y) = j*u(y) + 54*g(y). Calculate o(i(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12803 - 1426 = -527*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1 + sqrt(133) - sqrt(133))*-1)\/(1*sqrt(175) + sqrt(175)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 12.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37377137*t**4 + 15516410*t wrt t?\nAnswer: 448525644*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1348.9 - -1354.9. Which is the nearest to -0.1? (a) 3 (b) u (c) 2\/11 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - h + 67 - 92, 0 = 5*h + 25. Let v(g) be the first derivative of 4\/3*g**3 + x + 0*g + 3\/2*g**2. Find the second derivative of v(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*r + 63*r - 72 - 7090*r**2 + 7088*r**2)*(5*r + r**2 - 5*r).\nAnswer: -2*r**4 + 7*r**3 - 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:29 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-13)\/(-3) - 4). Let s(z) = z**2 - 3*z + 4. Let g be s(k). Which is smaller: 23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -44.1. Let h = s + 11.1. Let v = 1 + -3. Which is the smallest value? (a) -3\/8 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 22220059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.25 - -0.05. Let b = 0.2612 + 0.9388. Let l = b - y. What is the biggest value in 1\/6, l, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691164 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 25*b**2 - 60*b - 150. Let f be d(-27). Solve -z - 5*u + 14 = 0, 6*u - 4*u = 4*z - f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 17793659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027359538 to the power of 1\/3, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c*f*q**3 - 2*c*f*q + 8952*c*q**2 + 29714*f*q**3 - 2*f*q - 3 with respect to c.\nAnswer: 9*f*q**3 - 2*f*q + 8952*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-380)\/(-1584) + 1\/(-4)). Does 26 divide 0 + (0 - -1) - (39 + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 2. Suppose 8 = 8*n - 4*n. Let x be y(n). Let c(b) = -8*b - 3. Let v be c(-1). Solve 4*h - 2*s + 6 = x, 4*h - h = -v*s - 37 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.902347106 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17489*q**2 - 152 + 312 - 160 - 317*q**2.\nAnswer: 17172*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 229*j**2 - 78*j - 681. What is the ten thousands digit of p(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14820173 (base 9) to base 15\nAnswer: -9b0de9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6025 and 11?\nAnswer: 66275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.076 - 1.002. What is w rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 70361245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, 2\/3, 1\/6, 1\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006211 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151.2000006534 - 151.2. What is y rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2590 + 2587. Sort 0.03, u, 3, 0.6.\nAnswer: u, 0.03, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2373 + 2361. Let m(f) = -f**2 - 12*f + 4. Calculate m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/494 and 61\/2.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25110?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -316 from 0.5.\nAnswer: 316.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(((p*(p*p\/(p\/((p**(-3)\/p)\/p)*p))\/p)\/p)\/p)))\/(p\/(p\/(p**3\/p)))*p**(2\/3)*p\/p**(-1\/3))**(-44) assuming p is positive.\nAnswer: p**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 156.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 143*p**4\/24 + 47*p**3\/3 - 125*p**2 - p. Differentiate c(v) with respect to v.\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k - 76207 = 41243. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83072 + 6?\nAnswer: -83065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213.6227 - -0.5?\nAnswer: -1213.1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 - -179. Let b(f) = -f - 13. Let z be 1*((17 - 3) + 3). Let j(q) = -3*q - 39. Let o(h) = z*b(h) - 6*j(h). Determine o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1077*m - 10869. Give k(-10).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 30*a**2 - 160*a + 50. Let o be g(5). Factor -2\/7*d**5 - 8\/7*d**3 + 0*d**2 - 10\/7*d**4 + 0 + o*d.\nAnswer: -2*d**3*(d + 1)*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.477 to the nearest integer.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/6 + 79*u**4\/2 + 156*u**3 + 466*u**2\/3.\nAnswer: u**2*(u + 2)**2*(u + 233)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68324 is divided by 6831.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 270*f**3 - 5*f**2 = 0.\nAnswer: 0, 1\/54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.4 - 47. Let m be (-4)\/(1 + -3)*3. Suppose 6 = -0*a + m*a. Put a, -1\/6, v in increasing order.\nAnswer: -1\/6, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -172, -239, -246, -175, -8, 273?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3134 - 13210401?\nAnswer: -13202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 3}. What is prob of sequence dhdd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 177\/(-2) - 72\/48. Let o be 77*(-5)\/a - 4. Suppose -15*m = -6*m. Is o greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*j = -4*s + 209*j + 26, -2*s + 31 = 5*j. Let c(b) be the second derivative of 1\/3*b**3 + 0*b**2 + 0 - s*b. Let m(d) = -8*d**2. Determine m(c(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - g**3 + 0*g**2 + 3*g**4 + 1 - 7*g**4 + 2*g**4 in the form p*g + b*g**3 + k + l*g**2 + c*g**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106283, -106289, -106295, -106301, -106307?\n\"Answer: -6*l - 106277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l + 1. Let t be k(-3). Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1))\/b)**(-5)*(b**(-1\/4))**18)\/(b**(6\/7)\/((b\/b**5)\/b))**(-2\/5) assuming b is positive.\nAnswer: b**(-501\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1167 and 30101598.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 7*t**3 + 4*t**3 - 7*t**3 to a*t**3 + x + p*t**2 + w*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1859722.38 and 3.\nAnswer: -5579167.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:13 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/91200685 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228543928?\nAnswer: 2, 3613, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 3 + 3 + 1 - 2. Let j be a(-1). What is the tens digit of j + (35 - (2 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011 - -1011111101100010?\nAnswer: 1011111011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -k. Suppose -3*x - 4*n - 26 = -6*x, 5*x = -k*n - 15. Solve -17 = -2*s - 5*a + 3, -a + 4 = -x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 14) to base 8.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) -5 (c) -0.5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 7*u - 45, 10482*n - 291 = 10479*n + 48*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000356399 rounded to six dps?\nAnswer: 0.000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 557975 and 4768150.\nAnswer: 52449650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110) + -1*sqrt(110)) - sqrt(110) - 3*(sqrt(110) + sqrt(110)*-1))\/(sqrt(120)\/sqrt(48) - 4*sqrt(30)\/sqrt(3)).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 1:36 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 450 + -450. Solve c = -7*a - 31*a + 76 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -633\/5?\nAnswer: -633\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 20*o**2 - 65*o + 113. Let n be k(-16). What is the greatest common factor of 7 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - t - 4*t**3 - 3*t**3 + (-3 + 7 + 0)*(0*t**3 + 0*t**3 - 5*t**3) to the form u*t**2 + g + y*t + w*t**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032 is divided by 442?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*u = 7*u + 24, 0 = h + 5*u - 6. Let b be (-23)\/69 + (-4)\/h. Let g be (-2)\/(-17) - 1225\/(-425). Sort -4, g, b, 1.\nAnswer: -4, b, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-24))\/((-226)\/8). Let i = t - -150\/113. Let y = 6 - 4. Is i at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/8 - 145*z**2\/4 + 20583*z\/8 - 20007\/4.\nAnswer: (z - 171)*(z - 117)*(z - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2646, 3\/23, -0.03, 9 in increasing order.\nAnswer: -0.03, 3\/23, 9, 2646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l - 45. Let d be y(-6). Let i be ((-4)\/3)\/((-45)\/27). Does d = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Let c be i(-6). Let t(a) be the first derivative of 0*a - 1\/9*a**c - 1 + 0*a**2. Factor t(z).\nAnswer: -z**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2508, 2491, 2474, 2457?\n\"Answer: -17*j + 2525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.5 + 45. Which is the smallest value? (a) x (b) -0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ecbab8 - 0?\nAnswer: ecbab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - c**2 + 4*c + 2. Let k(y) = 3*y**3 + 3*y**2 - 8*y - 3. Let p(f) = -4*k(f) - 7*q(f). Let u(a) be the first derivative of p(a). Factor u(g).\nAnswer: 2*(g - 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -20. Let w = n - 13. Let y = 10 - w. What is the greatest common factor of y and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-5*b**2 + 2*b**2 + 2*b**2 + (-1 - 4 + 7)*(-b + b + b**2)) + (b - 15*b + b)*(4*b + 0*b - b).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4142, -8168, -12082, -15884, -19574, -23152, -26618?\nAnswer: -29972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-13 - -5 - (-15 + 15)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24112227.\nAnswer: 3, 8037409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 - 5*i**2)*(5 - 5 - 2) + (i - 4*i + 2*i)*(-6*i + 3*i + 2*i) - i + i + 2*i**2 to the form k*i**2 + w + d*i and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.91 + 0.09. Let m = j + -8. Which is the third biggest value? (a) m (b) 1\/7 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41627.\nAnswer: 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f - 4*f + f + 2 - 2 + (4*f - 5*f + 3*f)*(3 - 1 - 4))*(-3 + 0 + 4)*(3*f**4 - f**4 + 5*f**4).\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(1 - 5 + 2)*(-9 + 10 + 5*k + 3*k) + 0*k + 6*k - 2*k to t + m*k and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and 71\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8529000 rounded to the nearest 100000?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.38231\nAnswer: -0.038231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x - 4. Let j(q) = -14*q + 8. Let a(l) = -2*j(l) - 5*n(l). Is 6 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69586919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 20. Suppose 3*z = 119 + f. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30245608 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-2 + 1)*(5 + 4). Suppose 642 = 4*u - 3446. Suppose 17*m - f*m - u = 0. What are the prime factors of m?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 18?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4486.8204 plus -3.3094?\nAnswer: -4490.1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.256 - 3.256. What is the biggest value in -3, b, -0.42, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9619 + 9619 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*j*k**3 + 2*h*j + 273*h*k**3 + 156*h*k**2 + 3*h*k - 4*j*k - 6*k**3 + 2*k**2 wrt k.\nAnswer: -6*h*j + 1638*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 14*f - 11. Let d(u) = 2*u**2 - 5*u + 4. Determine 11*d(r) + 4*z(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-26)*d\/d**22 assuming d is positive.\nAnswer: d**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 671*b + 827. Does 24 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*h - 188*h = -442*h - 1178 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5 and 15\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247235 divided by 5.\nAnswer: 49447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32995 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 2, -1\/458, -2\/15, 0.64?\nAnswer: -1\/458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 55*h + 25. Let q be g(28). Let a be (q\/(18\/(-20)))\/((-42)\/(-63)). Calculate the highest common factor of a and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4*w + 0)*(2*w + 4*w + 3*w) + (-2*w + w + 0*w)*(4*w - w - 5*w))*(-1 + 1 - w).\nAnswer: -38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = 2*t, -2*t + 23 = 3*t - 4*j. Suppose 0*b = t*b - 21. Suppose b*a = -7 + 4. Which is smaller: a or -8\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 1180*i**2 - 53*i**2 - 1768*i**2. Let f = -2 + 1. Let j be d(f). What is j rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:31 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 29. What is y(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-12 + -1 + (-238 - -227) - -10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9574642 millennia in centuries?\nAnswer: 9.574642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09097 - -0.59097. Let s = -32.2 - -29. Let u = 3 + s. What is the nearest to u in p, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 36. Let k be b\/(-18) - 8\/(-6). Solve 2*c - 3 = -j, -j + k*c = -0 + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 8 + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(288) + 1 + -1)**2 + (sqrt(6) - -2*sqrt(384))\/(4*sqrt(27)))*5.\nAnswer: -2795*sqrt(2)\/12 + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77365, -309448, -696237, -1237726, -1933909, -2784780, -3790333?\n\"Answer: f**3 - 77359*f**2 - 13*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -753\/782 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*z**4 + 2)*(1 + 4 + 2) in the form v*z**2 + g*z**4 + d*z + i*z**3 + w and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 26*a**4 - 5 - 23*a**4)*(-a - a + 0*a).\nAnswer: -6*a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 42. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -253, -48, -2\/5?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33984)\/354*30\/(-270).\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, 21 in decreasing order.\nAnswer: 21, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 5*f**2 + 0*f)*(-2 - f + 2) as i*f**3 + s*f**2 + k + m*f and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*q**3 + 1434*q**2 - q - 1434*q**2 + 7*q - 7 wrt q?\nAnswer: 162*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1633, -2, -1, -12 in ascending order.\nAnswer: -1633, -12, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/2*(658\/(-28) - -24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4*b - 56, 2*o - 3*b - 10 = 3*o. Let g = o + 60. Let w = 22 + -7. What is the remainder when g is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -i - 0*a - 2*a, i - 27 = a. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 419*g - 2072. Calculate p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6501179 + 101179 = 4*i. What is i rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 67*a - 463. Give q(-40).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/17 + 1884\/85. Let n = t + -84\/5. What is the common denominator of n and -29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuuuunuuuuuunuuu. What is prob of sequence nuu?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1088, -1307 in decreasing order.\nAnswer: 1088, -14, -1307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24816031 is divided by 496318.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 55.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 w, and 1 y when four letters picked without replacement from {z: 6, w: 1, y: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -107*y - 1601. What is b(-17)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1102 - -1101.7. Which is the nearest to 2? (a) -0.8 (b) 2\/13 (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from drazdkpr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2. Let l(t) = 1625978*t**2. Calculate m(l(i)).\nAnswer: -7931413369452*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 5*x + 37. Let g be j(4). Suppose -5*y - k - 3*k + 4 = 0, -5*y - k + 16 = 0. Sort y, 0, g in ascending order.\nAnswer: 0, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/72 and 149\/972?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057838 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -864, -3178, -6988, -12300, -19120?\n\"Answer: -u**3 - 742*u**2 - 81*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110357, 107675, 104993, 102311?\nAnswer: 99629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664291896 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 16*o**2 + 15*o + 12. Let d be b(-15). What are the prime factors of 1*240\/7 - d\/42?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 16. What are the prime factors of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1569 - -1816. What is the remainder when q is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(5020 + 147*f - 5020) in the form c + j*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - ((-65 - -12) + 63)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-29)\/203)\/(37\/(-14)). What is the nearest to -1 in -0.4, b, -0.03, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:16 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Suppose 0 = -h + 4*h + t*d + 52, 5*h = -2*d - 82. List the prime factors of -1 - (4 + h\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 178*i + 2037. Calculate t(77).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 96 = -2*a, 5*q - 42 = a + 51. Suppose 1040*b - 1030*b = 300. What is the lowest common multiple of b and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i**2 + 357*i + 6. Let z(f) = -41*f. Determine z(a(c)).\nAnswer: 656*c**2 - 14637*c - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -15469839?\nAnswer: -46409517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than 89699826.63886?\nAnswer: 89699826.72886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 33, 90, 173, 282?\n\"Answer: 13*j**2 - 8*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/38*163\/(20538\/(-1596))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 20, w - 3*w = 2*v - 38. Suppose w*m - 45 = 10*m. What is the greatest common factor of 99 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from pqhdcprc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = v - 4*x, 17*v - 12*v = 5*x + 30 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -77. Let b(j) = j**3 + 2*j**2 + j + 164. Let f be b(g). Let v be f\/8 + 1\/(-2). Solve 2*k + 2 = -5*l + 10, 5*k + 3*l = v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/4, -3\/2, -0.01, 4\/9 in increasing order.\nAnswer: -3, -3\/2, -3\/4, -0.01, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1504530 and 89352?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547505.\nAnswer: 5, 7, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n + 4*n - 12*n)*(-1 + 1 - n)*(29 - 35 - 30) as u*n**2 + i*n + k and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, y: 3, l: 1, v: 6}. What is prob of sequence vy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuzu when four letters picked without replacement from uzzuzzuuuz?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190755217 is divided by 11922200.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24\/5*v**2 + 0*v + 22\/15*v**4 - 2\/15*v**5 + 0 - 16\/5*v**3 = 0. What is v?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 445650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + (sqrt(2) - (sqrt(2) - (-5 + (sqrt(14)\/sqrt(7) - sqrt(2)) - sqrt(2)))))*-2 + -4 + -1*(sqrt(352)\/(sqrt(77)\/sqrt(7)) - sqrt(32)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31958*l*u**3 - 2*l*u**2 + 59*l*u - 20*l + u**2 wrt u?\nAnswer: 191748*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704))**2 + (sqrt(99)*1)**2 - (sqrt(44) - (sqrt(44) - (sqrt(704) + sqrt(44))*-4))\/(sqrt(4) + sqrt(28)\/(sqrt(7)*1)).\nAnswer: -6*sqrt(11) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 699328102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2\/7 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3255 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.98559 litres in millilitres?\nAnswer: 27985.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111402 (base 7) to base 12.\nAnswer: 6761a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 - 37*o**2 + 33*o + 57. Give w(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -2 (c) -0.2 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -16.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/7, 0 in descending order.\nAnswer: 0, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42497139 rounded to 2 dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -14.51?\nAnswer: 4.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 144*d - 812.\nAnswer: -4*(d - 29)*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 350, -345, 2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2606 + -8716?\nAnswer: -6110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -21526928?\nAnswer: 21526928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233969 - -29.\nAnswer: -233940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 711 + -710.7. What is the third smallest value in k, -5, 10, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3, 0, -1630?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:55 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*z + 16, 6*h + 23 = 8*h - 5*z. Factor 9*r**2 + 10*r**2 + 5*r**3 - 23*r**2 + 3*r**4 - 4*r**h.\nAnswer: -r**2*(r - 4)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13 and -9493.\nAnswer: -9492.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*i + 534*i = h + 5, -5*i = -h + 37. Factor 2\/13*r**4 - 6\/13*r**3 - 2\/13*r + 6\/13*r**h + 0.\nAnswer: 2*r*(r - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 3. Let v be t(-7). Suppose v*k + 67 = 5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -97*w - 4. List the prime factors of m(-1).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75818*r**2*s**3 + 2287*r**2 + 105558346*s**3 wrt r?\nAnswer: -151636*r*s**3 + 4574*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 504 + 104?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 123164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 3*g + g + (1 - 1 - 2*g)*(6 - 1 - 3) + g - g - 2*g - 4*g - 8*g - 14*g)*(-6*g + 0*g + 4*g)*(-3 + 2 + 5) in the form u*g**2 + n + p*g and give u.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 4, b: 6}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -1114?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127645\/12 - 10629. Find the common denominator of l and -4 - -2 - 82\/(-21).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n + 483 - 2617 = -230 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 - -6.23108.\nAnswer: -513.76892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*z**3 + 154*z**3 - 31*z**3 + 28*z**3.\nAnswer: 262*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/208 and -8 + (-4)\/(3072\/(-6728)).\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 68082382.\nAnswer: 68082382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 1. Let g be u(2). Suppose 3*w + 4*i - 125 = 68, 3*w - g*i - 184 = 0. Is w a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/399 and -56\/3?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468)*-1*-3)**2.\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(13)*6)**2*-5 + -4.\nAnswer: -28084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -0.6, 5, -1, -1653?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2 and -89\/2102.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4048745 divided by 2\nAnswer: -4048745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**9\/168 + 13*r**8\/336 - 1069*r**5\/60 - 2057*r**2. Find the third derivative of q(m) wrt m.\nAnswer: -360*m**3 + 780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 10*(-19124)\/(-70) - -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 140.36886 and -0.2.\nAnswer: 140.16886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b3 - 4?\nAnswer: -4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:59 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 875702257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 390 = -j. Suppose -4*t - 166 = 2*v, -8*v + 15 = -5*v. Let i = j + t. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 - (-337 + 81 + 37)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h**2 - 7*h - 4. Let q be s(-6). Let w(f) = 0*f**q + f**2 + 0*f**2. Let m(i) be the third derivative of i**5\/12 + 4*i**2. Give m(w(u)).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -a5a6 (base 11) to base 5\nAnswer: -422111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -385*u**3 - 6*u**2 + 8*u**2 - 65*u**2 - 183*u**3 wrt u.\nAnswer: -3408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 1. Suppose 2*x = 2*s - 0 + 6, s = -5*x + 9. Is l(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from wbmwrwbmmmbywy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1666434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.183234 times -0.2?\nAnswer: -0.0366468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 + 0*r - 2 - 3*r + 43*r**2. Let n be q(4). Suppose 5*s - n = -2*t, -5*s + 0*t + t = -595. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 2}. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*x**4 - 209*x**4 + 36*x**4 - x**4 - 3*x + 3*x + (-x**2 - 2*x**2 + 5*x**2)*(826 - 7*x**2 - 826) as s*x + q + j*x**4 + v*x**2 + o*x**3 and give j.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 4}. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 697*b**4 + 20*b**2 + 212 wrt b.\nAnswer: 16728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h. Let k(r) = -25*r**3 + 24*r**2 - 6*r. Let m(c) = -k(c) - 6*o(c). What is the third derivative of m(u) wrt u?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-1))\/(45\/(-60)*(-30)\/54). Suppose -5*m + 168 = -3*m. Calculate the highest common factor of m and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 1 - 13. Let j be 3\/(-6) - 3\/(-2). Suppose u*t - 46 = -j. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/529 or -2964?\nAnswer: -2964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, 4*c + 2*z = -z - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10802267 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584 = -10*w - 5*g + 1534, 8*g - 5 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:45 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppp when four letters picked without replacement from pcpcppp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12374 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40681634709398 plus -5?\nAnswer: 40681634709393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnaanla. What is prob of picking 1 l and 2 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 613 - -540?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 4*p - 5 = 5*z + 16, -c = 4*z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 times 2.754?\nAnswer: 6.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2092116, 16736946, 56487206, 133895610, 261514872?\n\"Answer: 2092119*h**3 + h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + 1*sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)) + (sqrt(75) - sqrt(75)*2*4))**2.\nAnswer: 200*sqrt(3) + 1894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 - 10*m + 4. Let i be z(-10). Solve -3*x - 4*u - 2 = 0, 2*x = 3*x - u - i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1517950 - -11888.\nAnswer: -1506062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**5\/20 - 223*f**4 + 298374*f**3 - 6368*f. What is b in p(b) = 0?\nAnswer: 0, 1338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789975650 rounded to the nearest one hundred thousand?\nAnswer: 790000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 6537 = 14*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4043 by -2.\nAnswer: -4043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3063 + 561 = 6*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let l be x(-8). Suppose -z - 3 = -l. What is the second derivative of f - 6*f**5 + 11*f**4 - 11*f**z + f**5 wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -111619.\nAnswer: -111614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:05 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*v = -542*v + 174. Solve -40*n + 42*n = -v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22052 or -485115\/22?\nAnswer: -485115\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -80271 at most as big as -80270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9629130 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(5100) - ((-1*sqrt(5100) - sqrt(5100)) + sqrt(5100))) + sqrt(51) - sqrt(51) - sqrt(51)))\/(-3*sqrt(108)*5).\nAnswer: -19*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 26945.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 1. Let s(y) = -2*y**2 + 2*y + 4. Let p = 83 - 82. Give p*s(a) + 4*k(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 24 = j. Let q = -91 + 105. Calculate the remainder when q is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 9*p - 2. Suppose -4*z - 8 = 12. Let m be a(z). What is the highest common divisor of m and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - -223) + 5\/1. Let m be (9\/(-15))\/((-30)\/s). Solve -4*h = -4, 0 = -l + m*h + 4 - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3737251219 to the nearest integer?\nAnswer: 61133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.234 and -292?\nAnswer: -68.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (494\/836)\/(12\/264)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5*b + 25, 3*b - 30 + 15 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/9 + 11*l**4\/9 - 5*l**3 + 85*l**2\/9 - 74*l\/9 + 8\/3 = 0 for l.\nAnswer: 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 613603212.75613 minus -0.4?\nAnswer: 613603213.15613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3891276.\nAnswer: 2, 3, 19, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -689*y**2 - 12*y + 1. Let p(i) = i - 1. Let c(o) = -b(o) - 3*p(o). What are the prime factors of c(-1)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 28 = s, 2*s - 90 = -3*k - 49 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4063088020.\nAnswer: 2, 5, 73, 2782937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, j: 2, c: 1, v: 2, r: 2}. What is prob of picking 1 e and 1 r?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85631, -84541, -82717, -80153, -76843, -72781, -67961?\nAnswer: -62377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 139, 14, -4, 8 in descending order.\nAnswer: 139, 14, 8, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 1. Let r(x) = 2*x**3 - x**2 - x + 1. Let l(z) = r(z) - s(z). Let h be l(1). Let j be (h\/2)\/(1\/4). Let d(f) = 2*f + 1. Determine d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 144\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 1, 139, 374 in descending order.\nAnswer: 374, 139, 1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 62. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8277 from -55.8.\nAnswer: -54.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)*1 - -6. Let h = 18.7 + -18.2. Let f = 1 - 0. Put h, f, j in descending order.\nAnswer: j, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 8:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/144*76 - 4. Suppose -5*c + 23 = 8. Suppose 3*b = 2*q - 5*q + 24, 5*q = c*b. What is the third smallest value in -0.1, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {q: 1, c: 1, s: 1, p: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*y - 6. Solve 4*p - y = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.458 + 0.608. Which is the third biggest value? (a) 3 (b) -3\/7 (c) l (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnexqreqrrqxerexrqxe. What is prob of picking 1 n, 2 e, and 1 r?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/664216 and -123\/64960.\nAnswer: 26568640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 23*x - 1. Let v(d) = 91*d + 2129. Calculate 4*p(u) - v(u).\nAnswer: u - 2133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -35. Let i be o\/4 - (-2)\/4. Let k(z) = -z**3 - 4*z**2 - 5*z - 3. Let n be k(-3). Is i < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*c - c, -3*h + 16 = -5*c. Solve -2*y - 2*t - h = 0, 3*y - t + 3 = 4*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3 - 3*q - 18 + 6.\nAnswer: -3*q - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5 - 16 + q**2 + q**3 - 5*q - 8*q**2. Calculate x(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = 0. What is the derivative of g + 4 + 4*x**4 + 6*x**4 - 5*x**4 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 40.6\nAnswer: 893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-690)\/30 - (-10 - 12). What is the third smallest value in 1\/4, 213, y?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2901274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*2)\/((3*sqrt(72))\/sqrt(9)).\nAnswer: 22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1 plus -6258964?\nAnswer: -6258977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/1 - (-1 - -1). Suppose -2*o = -w*o + 12. Solve o*d = 2*l + 3*l - 10, -3*l + 6 = -2*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -33 - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(1\/2))**(-3\/11)\/((m**(-1\/3)*m)\/(m*m**(-2\/5)\/m)) assuming m is positive.\nAnswer: m**(-487\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let i = -50 + 50.1. Which is the closest to i? (a) -2\/3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 + 4 - 3*q**2 + 7*q + 2*q**2 + q**3. Let g(p) = -8*p - 20. Let k(y) = -3*y - 7. Let j(c) = 6*g(c) - 17*k(c). Let m be j(-1). Calculate t(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7637 is divided by 2542?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -27522910 to the nearest ten thousand.\nAnswer: -27520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, f = a + 2*a - 36. Let j = -115 + 135. What is the remainder when j is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(80))\/sqrt(2))\/(1*sqrt(128)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 787 = -4*r, -4*r + 18 - 544 = -2*w. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 452 and 1027622.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10*-8.4\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.88 - -1.48. Let x = o + 29. Which is the second smallest value? (a) -3 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26\/12219319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -235*i**2\/2 - 98*i + 87. Is a(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -169\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/50 and 63\/(-10) - 39\/(-65).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 1, f: 8, s: 1, p: 4}. Give prob of picking 2 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.493123 kilograms to micrograms.\nAnswer: 5493123000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/50*10\/(-4). Let m be 522\/(-24)*(-28)\/f. Suppose m = 6*u + 23. Calculate the lowest common multiple of 2 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13*m**3 + 10*m**2 + 226*m + 79. Is 133 a factor of g(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 18 + 0 + 3*g)*(g + 0*g - 3*g).\nAnswer: -6*g**2 + 34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8876 - -6?\nAnswer: -8870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7116)\/(-593)*242\/48 + -27.\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -24*d + 1625. Calculate the lowest common multiple of 20 and d.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -108. Let n = 15 - 8. What is the derivative of n*a - j*a - 4 + 3*a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 3*h**2 - 4*h**2 - 2*h**3 + 9*h**2 as k + b*h + v*h**2 + q*h**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 4, -15\/46, 0, 0.1 in decreasing order.\nAnswer: 4, 2\/17, 0.1, 0, -15\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -16*o**5\/5 + 13*o**2 + 23. What is the second derivative of t(q) wrt q?\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 16*z**2 - 31*z + 207. Calculate s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58658752 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*h - 20 = 0, 32*l - 3*h = 33*l + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456) + sqrt(3456)*2)\/(sqrt(8) + (sqrt(8) - -1*sqrt(288))).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -25*q**3 - 2*q**2 + 12*q - 23. Determine g(2).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from titusdsddbii?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 2*h + 3*h)*(2*h - 5*h + h) + (-3*h**2 - 3*h**2 + 4*h**2)*(0 - 1 + 2) + 0*h**2 - 3*h**2 - 4*h + 5*h to c*h + q*h**2 + n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2. Let f(r) be the third derivative of r**5\/6 - 32*r**2. Calculate -16*d(q) - 3*f(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + x + 9. Let f(h) = -14*h**2 - 22*h - 95. Let u(d) = -2*d**2 - 3*d - 13. Let v(m) = 2*f(m) - 15*u(m). Calculate -3*q(r) + 5*v(r).\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z + 7. Let s be y(-4). Let d = s + 0. Suppose 15*q - 12*q - 5 = -2*h, h - 5 = q. Solve -u = d*m - 10, 3*m - 8 = h*u - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - (5 + -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/3100 and 43\/100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 346 and 19203?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 - 309. Which is the second smallest value? (a) -1 (b) -3\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-15 + 8 - 18)*(-28*i**3 - 3 + 12*i**3 + 11*i**3) + 3*i**3 - 2*i**3 + i**3 as g*i**2 + d + t*i**3 + s*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 503, 0.4, -55\/8, 0.3, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302953 and 12256?\nAnswer: 9694496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1b1 (base 13) to base 7\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11111010101?\nAnswer: 11111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -19*w**4 + 2674*w**3 + 4*w**2 - 6610. Let k(n) = 3*n**4 - 2*n**3 - n**2 - 6. Let p(x) = 6*k(x) + u(x). What is the derivative of p(z) wrt z?\nAnswer: -4*z**3 + 7986*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 455 + -683. Let y = -231 - d. Suppose -l + 6 = -2*p, 4*l = -5*p + 2*l + 3. What is the smallest value in y, 2, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(20\/3)*d**(-23)*d*d**1*d**(1\/6) assuming d is positive.\nAnswer: d**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 111 - 105 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 23 + 6. Solve -s + 12 = 3*c, -4*c + n = -4*s + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151310 > -150746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, r: 1, k: 3}. What is prob of picking 2 a and 1 k?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.465 in -0.2, 0.3, -876, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -31*v**2 - 13*v + 10. Let t be s(4). Let z = -277 - t. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496 and 11930974.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 9*u + 17. Let s be k(5). Suppose 3*n = 6, 3*a + 0 + 1 = 2*n. Put 13, a, s in ascending order.\nAnswer: s, a, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s - 47. Let r be j(5). What is the nearest to -2\/3 in -1, 0.03, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by 1150.\nAnswer: -57\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 2. Let k(p) = 4*p + 39. Calculate -6*b(w) + k(w).\nAnswer: -2*w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -4081, -0.2, -2\/5, 1.44?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 630 - 632 - 2*l**3 - 18*l**2 + 13*l**2 + 7*l**2 - 1409 in the form p + j*l**3 + f*l + b*l**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 2:30 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1666450 divided by 6.\nAnswer: -833225\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010033 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x\/(x\/(x*x**(5\/4)*x)))**15 assuming x is positive.\nAnswer: x**(435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 + 2*j**2 + 377 + 297 + 315 - 1381.\nAnswer: 2*j**2 - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 119*b = -1300 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -977*n - 1997 + 1944*n - 969*n - n**2 to the form r + f*n + x*n**2 and give r.\nAnswer: -1997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzrrz. Give prob of sequence rzzr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -8*i + 3*i - 4*n, -3*i = -3*n - 36. Calculate the remainder when 56 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 8*w**2 + 12*w - 144.\nAnswer: -(w - 6)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3569583?\nAnswer: 3, 41, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**2\/y))**(-4\/19)\/(y\/(y\/y**(-2\/21))*y*y**(-8)) assuming y is positive.\nAnswer: y**(149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (80\/25 + -3)\/((-2)\/(-50)). Solve 2*a - x = -5 - 7, -20 = 2*a - y*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -6*k - 98. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (5 - 0) + ((-1440)\/(-10) - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 4*x - 9. Let c be q(9). Suppose -4*k - c - 12 = -2*f, 4*k = 4*f - 108. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 5. Let u be b(8). Suppose u = 3*w - 3. Let x = 5 - 2. Solve w*f = x + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/2))**(-16)*((p*p*p*p**(-2)*p)\/p)\/(p\/(p\/p**7)) assuming p is positive.\nAnswer: p**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = -34*y - 12*y + 19. Which is the third smallest value? (a) 4 (b) 3 (c) y (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 17*m = -8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 768\/120*10*14\/(-196).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 - 850*v - 1546. Let f(s) = -9*s**2 - 1699*s - 3075. Let d(z) = 5*a(z) - 2*f(z). Differentiate d(j) with respect to j.\nAnswer: -4*j - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 73*k + 880 + 653 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(60\/32))\/((-6)\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 10*h - 2*h + 6*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 2*r. Let q be (12\/(-14))\/((-14)\/392). Let k = -23 + q. Let i be x(k). Solve -5*v - i = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/23422 and -187\/210.\nAnswer: 351330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -2\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*i*j*w**3 - 83*i*j*w**2 + 2*i*j + 3*i*w**4 - j*w**6 + 5*j*w - 2*w**2 wrt w.\nAnswer: -66*i*j + 72*i*w - 120*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 4, o: 2, h: 3, q: 1, v: 6}. What is prob of picking 2 v?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3017\/522 + -53\/87. Calculate the common denominator of b and -53\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -37*p + 9. Let c be b(0). Let r(j) = -j**3 + 9*j**2 + 2*j - 12. What is r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 195326*i**2 - 130215*i + 65108 = 0. Calculate i.\nAnswer: -65108, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25069\/14 - -1792. Let v = 1690\/9 - 17359\/90. What is the common denominator of v and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2376, 73, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - -57. Let c = p + -26. Suppose c = 5*n - 305. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)*((c\/(c**(-5)*c))\/c*c)\/c*(c**6)**(-11) assuming c is positive.\nAnswer: c**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2027*s - 997. Is z(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t + 4*v + 3 = 0, t - v = -6. Let h be (t + 5)*38\/4. Is h not equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c + 70. Let f(z) = 13*z + 72. Let h(i) = 6*f(i) - 5*w(i). Let v(n) = -9*n - 55. Let y(g) = -5*h(g) - 7*v(g). Let d(q) = q**2. Calculate d(y(k)).\nAnswer: 4*k**2 + 100*k + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-4))\/((-1)\/(-4)). Let x be (3 - 17\/5) + (-5 - 248\/(-40)). Which is the third biggest value? (a) 9 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/11 (c) -86 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 + 415. What is the first derivative of 61*d**4 + w*d - 180*d - 6 - 3 wrt d?\nAnswer: 244*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -1, -28, -73, -136, -217?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 16*a + 2. Let m(x) = x**2 + x. Determine -3*m(v) + u(v).\nAnswer: -2*v**2 + 13*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 7*q - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 - 1. Let t be u(1). Let k(r) = 2*r - 6. Let i be k(4). Solve 0 = -3*v + i*w - 8, -2*v - 16 = 3*w - t*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/60 - 2*b**4\/3 - 2*b**3 + 7*b**2 + 19*b. Let o(k) be the first derivative of w(k). Does 8 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26590291062 + 0.11888.\nAnswer: 26590291062.11888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 415*k.\nAnswer: 5*k*(k - 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 2*s**2 + 0*s**2)*(5 - 1 - 2)*(-6*s + 3*s - s) in the form d*s**2 + j*s**3 + q + h*s and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 12*h + 7. Let t be a(13). Does 12 divide ((-8)\/t*-47)\/((-4)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 5*k - 9. Let n be v(7). Suppose 0 = 2*y + y - n. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70133 is divided by 3524?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 590267527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -25. Solve 18 = -a*i - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlklrdkddllkklklkkkl. What is prob of sequence kkk?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u - 2*u)*(2*u - 6*u**2 + 3 - 3).\nAnswer: 6*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13 + 3*q**2 - 7*q - 6 + q**2. Suppose 321*s + 15 = 324*s. Is m(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbg when three letters picked without replacement from {b: 3, g: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, w: 4, p: 2, f: 3, a: 2, j: 2}. Give prob of sequence pjp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a6 - 56?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/126 and -107\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 7, b: 1}. What is prob of picking 1 v and 1 u?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + 0*a**2 + a**2 + a**2 + 5*a - 5*a + (2*a + a - 4*a)*(3*a + 2*a - 7*a) - 2*a**2 + 2*a**2 + a**2 as r*a**2 + l + d*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10132 (base 4) to base 2\nAnswer: 100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3451036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 313179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - n + 130. Let d be 18\/(-4) - 12\/24. Let i(c) = 2*c**2 + 5*c + 8. Calculate the remainder when v(0) is divided by i(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 5, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880 and 1420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**3 - 84*f**2 - 6*f - 54. What is d(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 26 - 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (3 - (-3 - -5)) - -2. Solve z + 4*v + 1 = 0, -2*z + d*v - 15 = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 28*x - 94. Let m be s(32). Which is the fourth smallest value? (a) 3\/2 (b) 0.5 (c) -1\/5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 96 = 0. Let k = -22 + x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.99 - 0.01. Let h = r + 7.94. Put 5, h, -1 in descending order.\nAnswer: 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5 = 5*l. Let s(y) = -y**3 + 10*y**2 - 2*y + 6. Let v be s(9). Let x = -65 + v. Solve j + 1 = -4*k - 12, k - x*j = l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*b = -b + 40, -3*x = 2*b - 44. Suppose 4*z - 152 = -3*c, 0*z + 5*z - 245 = -5*c. Let u = c + -18. What is the remainder when u is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*t = -1411, 4*t = -2*m + 3*m - 1439. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.2522 times -2?\nAnswer: -252.5044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-28))\/((-3)\/(-21)). Suppose 3*i = 8*i - 70. Suppose -4*g + i = -6. Which is the nearest to 0.2? (a) -4 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5100 by 60.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 1. Is 2\/v + (-167)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 10850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -16.2799?\nAnswer: -16.1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c + 2*c)*(-5 + 5 - c) + (-c + 4*c + 0*c)*(c + 6*c - 5*c) + 2*c**2 + 4*c - 4*c + (3 - 2 - 3)*(5*c**2 + 2*c**2 - 5*c**2) + c**2 - c**2 + 3*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - 2. Let p = 11.9999928 + o. Round p to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 102065*w\/2 - 1377513.\nAnswer: -(w - 102038)*(w - 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-4)*56\/(-98). Solve -5*t = 5*x - 20, 2 = -d*x + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 22. Let x(a) = 1779*a + 26092. What is -3558*i(q) - 3*x(q)?\nAnswer: 1779*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 86 = -2*x + 5*x + 8, -7*x - 5*j + 8 = -33 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - (-4 - -24)\/5. Suppose i*a = 14*a - 18. Calculate the greatest common factor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1099719.5*-49.\nAnswer: 53886255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 22*u + 455. What is b(-25)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 6*z - 1760. Suppose z + 198 = 11*n. Suppose -l + 142 + n = 0. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -27, -42.589?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/45, -0.2, -2\/13, 5, -2\/5, 4\/9, 726?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*d - 69*d + 111156. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/129 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 34*u - 12*u + 3*u - 13*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -190145.\nAnswer: 1\/38029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5216488 + 5216488 - 220*r.\nAnswer: -220*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/156480 and -47\/68460?\nAnswer: 1095360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**8\/3360 - w**7\/420 + w**6\/144 - w**5\/120 - w**3\/6 + 3*w. Let n(k) be the second derivative of r(k). Factor n(f).\nAnswer: f*(f - 2)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 26*q + 40. Calculate the lowest common multiple of 30 and f(25).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-6*t + 7*t + 22*t).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.92 + 0.08. Put 2\/3, 5, p in descending order.\nAnswer: 5, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 3*j = 0, -4*g - 3*j = 0. Let c(m) = g*m**2 - 5*m - m**2 + 5*m. Let b(o) = -8*o. Determine b(c(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 27*d - 890. Determine p(-21).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -4, -1170?\nAnswer: -1170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4.69*-0.22988\nAnswer: -1.0781372","meta":{"dup_signals":{},"source":"arithmetic__mul_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 y = 145 - -86. Suppose 8*u = 3*u + 2*i + y, 5*u = -3*i + 216. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -1, 201 in descending order.\nAnswer: 201, 0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -30*x + 2. Calculate the remainder when a(-4) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 7) to base 5\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1993912 and 10660.\nAnswer: 129604280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgk when three letters picked without replacement from {i: 1, r: 1, k: 1, l: 1, g: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 1, w: 3, q: 13}. What is prob of sequence iiqi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.6 * 46.\nAnswer: -1085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(3960\/20))\/((-34)\/8)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 15659756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 128?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k + 30*k + 28 = 0. Solve -6 = 12*c - k*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 40, 29, 16, 1, -16, -35?\n\"Answer: -c**2 - 6*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*h**5 + 2099*h**4\/3 - 33256*h**3\/3 + 175607*h**2\/3 - 97384*h - 2352 = 0. What is h?\nAnswer: -1\/42, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 7. Let k = 6 + -12. Let f(c) = 8*c - 194. Let b be f(26). Let p(z) = 3 - 2*z + 1 - 7. Calculate b*p(r) + k*w(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.6 - 48. Suppose h = -h + 10. Let n(d) = d - 3. Let q be n(h). Which is the closest to 2\/7? (a) r (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10790 + 10789.9. Sort t, -4, -19\/3, -3\/7 in descending order.\nAnswer: t, -3\/7, -4, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*q - 2*q. Suppose -m - 2*m + q = 0. Suppose -12 = -m*z, -4*n + 88 + 156 = 2*z. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-24)*w\/w**(2\/33)*w*w\/w**(-23)*w\/(w\/(w\/w**5*w)*w) assuming w is positive.\nAnswer: w**(1549\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15411624 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 4 - (-2401)\/35. Which is bigger: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 2*s**3 + 6*s**3 - s**2 + s**3 + s**2 + (-1 - 3 + 2)*(-3*s**3 + 3*s**3 - s**3) + 2*s**3 + s**3 - s**3 + s**3 - s + s.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -15. Is 24 - (r + -1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + 80 - 8 + 73 + r**2 - 36 to the form f + q*r**2 + p*r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*x + 22, 0 = -5*r + 7*r + 6. Suppose -4*j = x*w - 41246 + 8661, -5*w = -5*j - 32630. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 20*c**3 - 23*c**3 + 1 + 1 + 0*c**2 - 2*c**2 + c. Let q be u(-1). Is 1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/18)*a**(-16)*a)**(2\/25) assuming a is positive.\nAnswer: a**(-269\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -24 + 81. Suppose -302*r - 119 = 2*s - 303*r, 6*r - 258 = 4*s. Let x = b - s. Let p(k) = k**3 + k**2 - k - 4. Give p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*x**3 + 48551*j**2*x - 122*j**2 + j*x**2 - 1038639*j*x - 4*x**3 + 5*x**2 wrt j?\nAnswer: 6*x**3 + 97102*x - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 8:40 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 22*g + 17. Let o be u(35). Let c = o + 447. Solve 0 = 3*i - 12 + c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -34*q**2 + 29*q - 24. Determine d(-5).\nAnswer: -1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(17) - sqrt(272)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let z(c) = -87*c + 239*c + 116*c. Calculate g(z(u)).\nAnswer: -268*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 + 50408*f - 4764312120.\nAnswer: -2*(f - 189030)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.36432 - -0.1?\nAnswer: 14.46432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*n + 343 - 362 = 0, 38 = -2*j - 5*n. Let o(r) = r**2 + 3*r - 1. Let l be o(-4). Solve 3*t = 4*x + 9, l*t - 7 = 3*x - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*q + 89*q = 2064 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/2)\/p)\/p)\/((p**(3\/17)*p)\/p)*(((p*p\/p**(-1\/29)*p)\/p)\/p*p)\/p*p**(1\/19) assuming p is positive.\nAnswer: p**(26427\/18734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.4 - 103.6. Let g = -119.3485 + 0.2655. Let z = l - g. What is z rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*w - 1 + 86*w + 395*w + 186*w - 443*w in the form c + a*w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 8) to base 13\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -43*t**2 + 2*t + 7. Let i(z) = 42*z**2 - z - 6. Let p(x) = 4*i(x) + 3*q(x). Calculate the remainder when p(1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 21. Suppose 450 = -3*q + o, -o + 248 = -5*q - 498. Let k = r - q. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3267*k**2. Let x(y) = 4*y**2 + 4. Determine x(f(u)).\nAnswer: 42693156*u**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215659, 215658, 215655, 215650?\nAnswer: 215643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -a709?\nAnswer: a707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -385, -590, -797, -1006?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -14. Suppose -2*m + f*g + 46 = 3*g, 3*g + 28 = m. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 3, b: 1, n: 1, r: 1}. What is prob of picking 1 r, 1 b, and 1 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14879*3 - (23 - 26). Suppose 2*t + 3*j - 21459 + 3628 = 0, -5*t = -5*j - s. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 - 3 + 31*v**2 + 25*v - 41*v + 16*v to m*v + x + o*v**3 + a*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29749955 divided by -151015.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*a = 824*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 - k. Let y(v) = -7*v**3 + 23*v**2 - 20*v + 21. Let o(a) = -6*c(a) + y(a). What is the tens digit of o(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124658075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-40)*(-11)\/(-308)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22600 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Let q be 2\/(9*4\/6). What is the closest to 0 in q, t, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 9. Give m(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 16*f + 15. Calculate the least common multiple of y(9) and 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/6, -5, -280.482?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.35, -5, 10\/17, 4 in decreasing order.\nAnswer: 4, 10\/17, -1.35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.188 + -0.488. Let l = -45.2 - -45.3. What is the nearest to l in k, -0.6, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26.24762ng?\nAnswer: 0.00002624762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130141020 rounded to the nearest 100000?\nAnswer: 130100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -3 (c) 0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1880, -2\/5, 3, 6\/7 in decreasing order.\nAnswer: 3, 6\/7, -2\/5, -1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017 less than -1793342?\nAnswer: -1793342.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 3. Let i be j(-3). Let g be i\/2*32\/(-6). Let r = 3 + g. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q - 14. Suppose 0 = -13*j + 4*j + 27. Let t be h(j). Let i(r) = -3*r + 5. Give i(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -90, -138, -188, -240, -294?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.1, -15, -34.94 in decreasing order.\nAnswer: 1\/3, 0.1, -15, -34.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/160 (b) -26 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.53 and -202.\nAnswer: 107.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2823?\nAnswer: 282.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8602 + 0.8602. What is the third smallest value in -6, z, -1, 0.4, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 - 5. Suppose 8*o - 528 + p = 0. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, k: 4, w: 8}. What is prob of picking 4 k?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 5*m + 20 = 0. Suppose m*j - 2*j + 9 = 0. Let n(q) = -11*q - 7. Is n(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -879 divided by 2?\nAnswer: -879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*n**2 - 11*n**4 + 7*n**4 - 12*n**4 wrt n.\nAnswer: -384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 9:01 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1.5. Let t = z - 5. Let k = -4\/23 - -39\/92. What is the fourth biggest value in -0.4, k, -12, t?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 + 182*o - 97. Is q(-59) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 6*h - 173124 = 0. What are the prime factors of h?\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g + 2*q, 12 = 4*g - g + 4*q. Solve g + 12 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 3)*(-6*g + 4*g + 3*g) + 40897*g - 2457*g + 4793*g + 64371*g)*(-2 + 5 - 2)*(-1 - 2 + 4) to the form t*g + u and give t.\nAnswer: 107605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + y)*(1 - 2 + 3) + 120 + 2*y - 120 - 9*y - 6*y + y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 22*g**3 - 10*g**3 - 4*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -584, 1369, 6698, 17101, 34276, 59921, 95734?\n\"Answer: 283*h**3 - 10*h**2 + 2*h - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898882621 a multiple of 12200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1282587568286 - -249\nAnswer: 249.1282587568286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: In base 13, what is -9 + -12?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*s = -201*s - 14277. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from {q: 4, r: 5, o: 5, z: 1, d: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 16*f - 192. Calculate the highest common divisor of f and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -160140.\nAnswer: -1\/8007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpzkkkpkkeeppkkk. Give prob of sequence ez.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/5 - 1302*s**4\/5 - 11394*s**3\/5 + 105462*s**2\/5 + 936036*s\/5 = 0?\nAnswer: -642, -9, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -1139?\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - -112211?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/7*7\/2. Let t(n) = n. Let p be t(x). Let s = p - -9. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 314.8544 centuries?\nAnswer: 31485.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 + 63. Let d = u + -195. Solve -4*k = -d*y - 5 + 19, -14 = 5*k - 2*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {f: 1, k: 1, q: 1, s: 1, n: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 8, 1, -1, 4, -2\/1063, 40?\nAnswer: -2\/1063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2917888 is divided by 413.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 4*n - n + n + 3*n - 5*n + (5*n - 2*n - 5*n)*(1 + 1 - 4) to the form t + b*n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 6*u**2 + u - 3. Let k be g(6). Suppose 52 = k*q - 5. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/168 + (-36)\/(-84). Let a(f) be the third derivative of -1\/6*f**3 + 0 + y*f**4 + 0*f + 4*f**2. Differentiate a(o) with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271073029?\nAnswer: 443, 611903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8451715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.133, 0.2, -23981, -1\/73?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let c = 4 - 5. Are c and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22851, -0.3, -1.\nAnswer: -1, -0.3, 22851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 + 15. Let c be w(-7). Suppose -o + 2 + 1 = -4*h, c = -4*h + 5*o. What is the closest to -2 in 5, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 87, -6, 177, 4, -29 in decreasing order.\nAnswer: 177, 87, 4, 0, -2, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 + 4*f + 4. Let v = -568 + 572. Let o(r) = r**3 + 7*r**2 - 3*r - 3. Let l = -8 + 11. Calculate l*a(h) + v*o(h).\nAnswer: h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/772, 2, 324 in increasing order.\nAnswer: -4, 7\/772, 2, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 44436*u**3 + 164724108*u**2 - 1314950496*u.\nAnswer: 3*u*(u - 7402)**2*(u - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 7*v**3 + 7*v**3 - 2*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*r, 4*y - 2*r + 35 = 23 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11401*m - 22504*m + 11582*m.\nAnswer: 479*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 343\/59 - 997\/1298. Find the common denominator of 45\/32 and w.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-7)))\/(r*(r*r*r**2*r)\/r*r))**(-1\/26)\/(r*r\/r**(1\/5)*r*(r*(r*r\/r**(-1\/12)*r)\/r*r)\/r)**(-29) assuming r is positive.\nAnswer: r**(133441\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*g**2 - 569 + 192 + 188 - 57*g**2 + 189 + 124*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - o - 2*o + 12, -b + o - 4 = 0. Solve -3*d + 1 + 11 = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*p = 2, -5*r + 23 = 134069*p - 134046*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*d - 374424, 4*d - 116 = -152. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 104*l**2 + 848*l**2 + 2 - 423*l**2 to the form b*l**2 + x*l + a and give b.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + f = -23 - 35, -19*f + 76 = 5*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 11*u - 2. Let h be r(5). Suppose -5*q = 4*o - 51, -5*q + 4*q = -4*o + 81. Solve h*s = o - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 2) + -26 + 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1794 - -3396. Calculate the smallest common multiple of 2 and b.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (-7 - -35) + -7 + (2 - 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 4338077. Let a(d) = -4*d. Determine x(a(p)).\nAnswer: -8*p - 4338077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 873745349 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3779778*r + 2413164 with respect to r.\nAnswer: 3779778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/138 + -2 + (-1377220)\/(-230) is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/485786 or 1?\nAnswer: 3\/485786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -6*i**2 + 0*i + 0*i**4 + 0*i**3 + 1\/15*i**5 + 0. Let c(u) = -13*u. Determine c(t(p)).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*p = 15, -54*j - 9 = -59*j + 3*p. What is the greatest common divisor of 14 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35947 - 11573 = -522*t - 14112 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**2 - 1\/30*m**6 + 0*m**5 + 0 + 7*m + 2\/3*m**4 + 0*m**3. Find the third derivative of s(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.5 and -1.\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 2*c**3 + c**3)*((5 - 4 + 1)*(5 + 0 - 3) + 5 - 4 - 4 + 2 + 6 + 0) + c**3 + 5*c**3 - 4*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16193376 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 1946868?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31150 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -159, 3\/4, -0.3?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(19) - -3*sqrt(2736)))**2*-3.\nAnswer: -101130768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let u(p) = 124*p**2 + 5*p - 118*p**2 + p. Give i(u(o)).\nAnswer: -18*o**2 - 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, and 2 k when four letters picked without replacement from vfvvvvvvbbvkbvffvk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 422 = 4*x, -x - f - 53 - 57 = 0. List the prime factors of 3 - x - -6 - 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 375 + 3875 + 2109*m - 799*m + 721 + 20 wrt m?\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 0 - 2*z + (-2 + 1 + 3 + (6 - 1 - 3)*(6 - 1 - 4) + 5 + 3 - 4)*(109 - 208 + 107 - 7*z).\nAnswer: -58*z + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 64 = y, -4*h + 3*y - 140 = -2*y. Let x = -4111 - -4083. Let v = x - h. Which is the fourth smallest value? (a) v (b) 0 (c) 2\/19 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 42\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -174*i**5\/5 - 25*i**2\/2 + 31*i - 634. Find the second derivative of v(a) wrt a.\nAnswer: -2088*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -24. What is the remainder when 58 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114122331 + 2004?\nAnswer: -114120322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -73. Solve -f + 1 = -3*g, g + 3*g = -2*f - p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21533 - -21523. What is the nearest to 2\/7 in 0, -43, -2, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*g - 6*g - 676 = 0, m - 133 = 3*g. Suppose -4*u + 36 = a, -2*u = 5*a - 4*u - m. Calculate the lowest common multiple of a and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163634*l - 54549*l - 54535*l - 54567*l.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 803 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 623073 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2169, -1, -9 in ascending order.\nAnswer: -9, -2, -1, 3, 2169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -107b4b (base 13) to base 8\nAnswer: -1366762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 282*v - 6093. What is k(-20)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(-3)\/18. Let v = 22 - 22. Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 17*g + 87. What is the remainder when o(5) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/117 and 55\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 + 10*f. Let l be i(-10). Suppose l = -4*d - 3*u + 24, 4*d + 5*u = 14 + 10. Solve 3*v + 0 = -d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -12)*801\/6. Does 2 divide (-60)\/(-120) - c\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 33*k. Let h(r) = -11*r. Let g = 191 - 187. Suppose -284 + 268 = g*i. Determine i*b(y) - 11*h(y).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1696*h - 20341. What is l(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56.88*0.7835\nAnswer: -44.56548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274941414*v**4 + 2406242*v**2 - 36*v?\nAnswer: 6598593936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1220 - -1222. Let r be (-2)\/(-5) + (-2)\/5. Solve k*a - 3*a + 1 = -g, -5*g = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 976 = -3*a, -3*a - 20 = 2*a. Let n = 257 - l. Solve 3*p = p + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3486044851 + -1.71?\nAnswer: -2.0586044851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2273 - 2273.4. Let p = -17 - -17.2. Let l = p + 5.8. Which is the nearest to 0.1? (a) 4 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(-4*y + 0*y + 2*y) + 9*y - y + 2*y - 2*y - 2*y + 10*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 28*v**3 + 21 + 3 - 12.\nAnswer: -28*v**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (1\/2 + 10\/4). Let p be 1\/r + (2415\/24)\/5. Sort p, -1, 0, 1 in increasing order.\nAnswer: -1, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 52 - 3 + 299*o - 1. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13009543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2018826 and -25\/336471.\nAnswer: 2018826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 2*j + 10. Let l(f) = -f**2 - f + 11. Calculate 4*l(r) - 3*y(r).\nAnswer: 2*r**2 + 2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -22, -44, -82, -142, -230, -352?\n\"Answer: -d**3 + d**2 - 8*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2742 divided by 2\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 29*w - 3\/2*w**2 + 12. Let r be k(8). Solve -11 = -r*v + 2*d - 5*d, -3*d - 9 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810533 (base 16) to base 9.\nAnswer: 16816652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -163\/5?\nAnswer: -163\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24989, 99962, 224917, 399854, 624773?\n\"Answer: 24991*z**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 86*q**2 + 258*q + 9203. Calculate d(90).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-36)\/(-8) - 57\/(-57).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223889285?\nAnswer: 5, 31, 1444447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - 94. Suppose 0 = w - o*w - 77. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58*22\/(-5104))\/((-2)\/(-72)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 6*t + t + (4 - t - 4)*(5 + 0 - 3) + 8*t - 9*t - 2*t)*(-145*t - 189*t + 231*t).\nAnswer: 618*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102963 divided by 14.\nAnswer: -14709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/10116 - -652657\/354060. Find the common denominator of u and 25\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*a - 76*a - 14933 + 28271 = -14*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137\/4711 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -2022?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/7 + 2*s**4 + 158*s**3\/7 - 2*s**2 - 156*s\/7 = 0?\nAnswer: -6, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88631, -177260, -265889, -354518, -443147, -531776?\nAnswer: -620405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 595242.2ml?\nAnswer: 595.2422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2592)*-1 + (sqrt(2592) - -1*sqrt(2592)*-5))\/(2*sqrt(81) - sqrt(18)\/sqrt(50)).\nAnswer: -540*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33651 is divided by 8081.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7012963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) - (sqrt(1584) - (-5 + 1*sqrt(1584)))**2.\nAnswer: -25 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 15 = 0. What is the remainder when 42 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (8 - 1) - 5 - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffbbbssdbdf. What is prob of picking 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 68905476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let k(c) = c**2. Let b(q) = 4*q**2. Let r(v) = -b(v) - 4*k(v). Determine x(r(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 713, 788, 925, 1124, 1385, 1708, 2093?\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 268 - 268 = 0. Solve -4*v = 4*p - 6 - 6, t = -v + 2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-325)\/45 - (-6 - 1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 69*o**3 - 7940*o**2 + 601*o - 3013. Calculate h(115).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 48375.\nAnswer: -2\/9675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15 + -2 + (-63)\/(-35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83739 and 93215.\nAnswer: 75783795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -6233?\nAnswer: -6238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1107 = -915. Suppose -2*m + 92 = -2*l - 2, -2*m = -5*l - 88. Calculate the remainder when w is divided by m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o - 80. Let f be r(11). Solve -f*x + 20 = -4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 - 3*w + 3. Let b be d(1). Let g be (-2)\/(-90) + 715\/(-99) + b. What is the third biggest value in 3\/10, -0.02, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447221500 divided by -894443\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*p + 763*p - 6*p**3 - 380*p.\nAnswer: -6*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 5245*z - 5249*z + 30, -2*z - 35 = -13*n - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*d**2*f*q - 12*d**2*q**3 - 16*d*f*q**2 - 106*d - f*q**3 - 2*f*q wrt d?\nAnswer: -292*f*q - 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -4. Suppose -5*q - 4 = -4*z + 1, -z + 3*q + 3 = 0. Let r = z + 1. What is the second smallest value in r, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 16*m + 37*m - 44 = 19*m, 5*p + 3*m - 178 + 280 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/815 and -67\/978.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = 3*u. Let i = 1487 - 1468. Suppose u*o = 7*o + 3*l - i, -4*l = 4*o - 68. What is the greatest common factor of 112 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**5 + 520*j**4*m - j**3*m + 72*j**2*m + 22*j**2 + 9*j*m wrt j?\nAnswer: 420*j**2 + 12480*j*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786 take away 1?\nAnswer: 2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 - 16*u + 25. Let i(d) = d**3 - 8*d**2 + 17*d - 24. Let f(g) = -5*i(g) - 4*s(g). What is the units digit of f(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (0 - (3 - 7)) - -10) + 11\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161484, 322955, 484394, 645789, 807128, 968399, 1129590, 1290689?\nAnswer: 1451684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 3*o - 99)*(4*o - 2*o - o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 1323.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 536 + -516. Let m = 113 - q. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 564473 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55902839479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-19) + 2553991\/(-7505) + (-2)\/(-10). Which is bigger: -3064\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6810 + 6812. Let z(h) be the first derivative of 5*h**k - 2*h**3 - 16 - 5\/2*h**4 - 2\/5*h**5 + 8*h. Factor z(o).\nAnswer: -2*(o - 1)*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128.4*-0.0454\nAnswer: 5.82936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 0*q - 4*q - 11 - 10 + 2*q**2 as s*q**2 + r + o*q and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*y + 62 = y, 4*y - 68 = -4*l. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let h(v) = -407*v**2 - 143*v + 143. Let i(f) = 17*f**2 + 6*f - 6. Suppose j - 2*j + 143 = 0. Let u(d) = j*i(d) + 6*h(d). Calculate k(u(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 626032, 626073, 626114, 626155, 626196?\n\"Answer: 41*n + 625991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 4*k**2 - 9*k + 10. Determine c(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -17 - ((79 - -8) + -71).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 509+47\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -57.000063. What is c rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/4 + 276*t**3 - 1647*t**2\/2 + 822*t - 1095\/4.\nAnswer: -3*(t - 365)*(t - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1734 and 0.0379?\nAnswer: -65.7186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3944.8 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2944 - -2993. Calculate the remainder when 530 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 10*b**2 - 9*b + 22. Suppose 2*r = 3*r + 11. Let k be m(r). Solve -4 = -k*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*r**5\/3 - 736640*r**4\/3 + 3221744*r**3\/3 - 3335932*r**2\/3 + 302674*r - 19116 = 0. Calculate r.\nAnswer: 1\/11, 2\/7, 1, 3, 4779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:22 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -5)*1*1. Suppose -z*l - 9 + 4 = w, w + 4*l + 3 = 0. Do -5 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from rrrurhrrurrrd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(175))\/sqrt(8).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*k = 6*k - 1044, 0 = -2*a - k + 1044. List the prime factors of a.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/23 (b) -14\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 275. Let d = f - 15. Suppose 3*i + 1 = d. Calculate the greatest common divisor of i and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j - 4. Let l(q) = q**2 + 7*q + 3. Let c be l(-6). Let f be n(c). Let i = 4 + -2. Solve -4*a = -5*x - f, -2*x + 0*a = i*a + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1988 - 739. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1132 and 1356.\nAnswer: 383748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -5*f**4\/12 - f**2\/2 + 9*f. Determine j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u**2 + 5 + 83*u**2 - 18*u**2 - 31*u**2 - 3.\nAnswer: 92*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h = 5*v - 5677, -h = 2. Round v to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 4 = 0. Let s be (-12)\/b - (-3 + 1). Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284133.096 rounded to the nearest 100?\nAnswer: -284100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/3*15\/(-2). Let o = -51 + s. Let h(g) = -3*g - 5. What is the smallest common multiple of o and h(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b*o**3*v + 7*b*o**3 + 5781*b*o**2*v - 4420*b + 14*o**3 + 6*o + 2356*v wrt v.\nAnswer: 8*b*o**3 + 5781*b*o**2 + 2356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - (-272 + 2)\/3 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -9. Let d = -14 + -1. Let r = d - q. What is the smallest value in r, -0.3, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*46\/(-161)*5*(-10)\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 2 j when four letters picked without replacement from uwujjuwawuuuwjauuuaj.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51540429.\nAnswer: 3, 223, 77041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/102)\/(-7)*39\/26?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(24)\/((sqrt(96)*1)\/sqrt(12)) + 6*sqrt(9)\/(2*sqrt(75)).\nAnswer: -4 + 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9 - 14\/(-21). Suppose -5*p - 2 = -4*b - w*b, -3*p - 10 = 2*b. Let i(f) = -2*f**2 - f + 2. Calculate i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = -4*t - 12, 0 = 5*y + 5*t - 10. Solve 5*l = y*v - 2 - 1, 5*v = 4*l + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 + w**3 - 11*w**2 - 14*w**4 + 12*w**2 - 6 + 0*w**4 - 2*w**3 as u*w**4 + y*w**2 + c + n*w**3 + z*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*w - 1 + 3, 0 = -3*s - 3*w + 33. Let q = -4 + s. Solve 0 = 3*a - q*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 31718 = -4*i, 34*o = -2*i + 39*o + 15847. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 2733948909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 2*c**6\/45 - 6*c**5\/5 + 97*c**4\/9 - 32*c**3 + 128*c**2\/3 - 47*c. Suppose r(t) = 0. Calculate t.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vddddddvvddd. What is prob of picking 1 v and 3 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -1\/7, 3\/5, 8, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5250 (base 12) to base 13.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/60 + p**4\/12 + p**3\/2 - 4*p**2 - 8. Calculate m(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2259 + -2076. Solve -188 + l = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 4*x - 18 + 54, -5*k + 44*x - 228 = -2*k + k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 - 399. Let g(i) be the first derivative of 1 + 0*i**4 + 4\/3*i**3 + 0*i + 3\/5*i**5 + u*i**2. Find the third derivative of g(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436061.\nAnswer: 436061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 42*c**2 + 1. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmjifmh. What is prob of sequence fi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:48 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528265 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -26. Let s be -3*q\/21 - (-8)\/(-28). Which is the closest to 3? (a) 2\/13 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 38?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11229*b. Let g(r) = -1271*r. Give g(w(c)).\nAnswer: 14272059*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1933814863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 59c04 (base 16) to base 4\nAnswer: 1121300010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from {u: 6, s: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58551 and 3365?\nAnswer: 292755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 653, 3066, 7931, 15938, 27777, 44138, 65711, 93186?\n\"Answer: 115*m**3 + 536*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)*h)\/(h**(1\/3)*h)*(h**16\/h)\/h**5 assuming h is positive.\nAnswer: h**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 148671922 a multiple of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8647579950 rounded to the nearest one million?\nAnswer: 8648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 138*m - 4467 = 35*m + 4413 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2721*k + 65304. Give j(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2962440 and 47\/3900.\nAnswer: 14812200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b - 1. Let f(n) = 10*n. Calculate -4*f(k) - 5*y(k).\nAnswer: 5*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10558 (base 10) in base 12?\nAnswer: -613a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-7))\/((x**(-6\/5)\/x)\/x))**(9\/4) assuming x is positive.\nAnswer: x**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 356953712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**3 - 25*k**3 - 5*k**3 - 41*k**3 + 2*k**3.\nAnswer: -45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0, 3.8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1053)*3.\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - b + 74 - 89, 2*b = 5*p - 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + (-7)\/(35\/10). Let q(c) = 7*c - 14. Let f be q(v). Suppose 6*p - 4*b - f = 3*p, 2*b + 16 = p. Calculate the highest common divisor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 302*u - 610. Let m be p(-153). Solve 3*k - 11 = -6*f + 2*f, 2*f = m*k + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353321 - 3?\nAnswer: -353324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, i: 1, c: 12}. What is prob of picking 1 c and 2 b?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 22*f - 10. Let v be g(-22). Which is the biggest value? (a) 1 (b) v (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let y be 6 + h + -3 - -49. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t**5 + 812*t**4 - 8788*t**3 + 28212*t**2 - 29412*t = 0. Calculate t.\nAnswer: -43, 0, 3, 19\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 14*m + 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, -5, 5 in increasing order.\nAnswer: -16, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -191933408755 + 0.8\nAnswer: -191933408754.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -33*q**2 - 21*q - 7. Let m(a) = -a**2 + 3*a + 1. Calculate -f(i) - 5*m(i).\nAnswer: 38*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 5*a**8\/336 + a**7\/14 - a**6\/24 - a**5\/4 + 8*a**2. Determine k, given that l(k) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 23165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 506*g**3 - 7*g - 1011*g**3 + 507*g**3 + 2 + 1 + 36*g**2 + 16*g**2 to c*g**3 + i*g + r + t*g**2 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (556238\/6)\/1*3. Suppose -36*g + u = -15173. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 14*r**2 - 16*r - 61. Give v(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33272, -132831, -298758, -531053?\nAnswer: -829716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89930551*l**4 - 882*l**2 - 56460*l?\nAnswer: 2158333224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 6, w: 4, o: 1}. Give prob of picking 2 g and 1 t.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-765)\/(-70)*-1 + 11?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*a - 1926*a - 6561 = -684*a - 23681 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31130333222 + 3?\nAnswer: 31130333231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*x + 7, -n + 3*x - x = -1. Suppose 0 = 3*s - 3*w + 42 + 9, -5*s + n*w - 85 = 0. Let v = s + 33. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/30 + 11*p**5\/60 + p**4\/3 - p**3\/2 - 17*p**2. Let o(w) = w**2. Let z(t) = d(t) + 4*o(t). Factor z(s).\nAnswer: (s + 1)*(s + 3)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 274535 and 40?\nAnswer: 2196280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36260.54951 + -520.\nAnswer: -36780.54951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 + 18)\/(1\/(-6)). Suppose 4*p - 4*w - 176 = 56, -290 = -5*p - w. Let o = p - m. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2537)\/(-430) + (-1)\/(-10). Let v(k) = 7*k - 3. Let z(m) = 64*m - 28. Calculate x*z(b) - 56*v(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4451179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -0.5, 2181.67, -1, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/5, 0.1, 14, -1 in ascending order.\nAnswer: -1, -1\/4, 0.1, 2\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 15 = -5*b, -l + 134 = -2*b + 128 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + t**3 + 27*t - t**4 - 27*t in the form o*t**4 + a*t**3 + q*t + u*t**2 + z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*z - 11 = -0*z, -5*l - 4*z - 7 = 0. Let v(n) = -n**3 - n**2 - 2. List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -251*t**2 + 2. Let r(x) = 4*x. Calculate p(r(c)).\nAnswer: -4016*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or -2347.55?\nAnswer: -2347.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 21*s - 1. Determine b(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8491 = 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63973021 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134, -146, -166, -194, -230, -274, -326?\n\"Answer: -4*s**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 1. Let c(f) = -f**2 + 2. Let m(t) = 2*c(t) + 4*s(t). Let z(i) = 132*i. What is m(z(l))?\nAnswer: 34848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.3 - 13.3. Suppose j + 2 = 1. Let u be (-2)\/4*j*10. What is the second smallest value in u, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7 - w - w - 4 + 3*w. Let y be t(10). Let n be ((-2)\/(-10))\/(2\/(-5)). Which is greater: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j**2. Let z(f) = -20*f. Determine z(c(r)).\nAnswer: -380*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10*d + 7*d + 7609 = 0, -3*r - 2*d = -4566. Factor 4*o**4 - 1548*o**3 + 16*o - 52*o + r*o**3 + 60*o**2.\nAnswer: 4*o*(o - 3)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by -5.\nAnswer: 127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 297122434 to the power of 1\/2, to the nearest integer?\nAnswer: 17237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3)\/((-1)\/((-2250)\/12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9 + -5. What is the closest to z in 2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*c = 6*c + 4, -5*o + c = 32. Let p = 0 - o. What is the greatest common divisor of 66 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509285267*d**3*m - d**2 + 32668*d*m + 59*m - 12 wrt d.\nAnswer: -3055711602*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-9)*(-3)\/60. Which is the nearest to 0? (a) -5 (b) -13 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(11\/5)\/j)\/(j**(-5)\/j))\/(j**(-2\/27)*j\/((j**(-5)\/j*j)\/j*j)*j) assuming j is positive.\nAnswer: j**(37\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/28*(-8)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4774 + -52473\/11. What is the common denominator of c and (-4 + -3)\/(9\/7)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (22 - 22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6097 and 852215.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*c = 21, 3 = -5*k - 608*c + 606*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184172 and 4300.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55080 + 55080 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:19 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 6:17 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2) + 10\/2. Let z = -542 + 517. Let o = i - z. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-330)\/(-24) + -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19207 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12322 and 75\/5858.\nAnswer: 357338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56679998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -3\/2*n**2 - 1\/12*n**4 + 0 + n - 5\/6*n**3. Suppose 5*s + 5 = 0, -4*s + 8 = -3*t - 3. Give r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4705428 by 1568476.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -897264, -1794947, -2692630, -3590313, -4487996?\n\"Answer: -897683*r + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11330630 (base 7) to base 12.\nAnswer: -40224b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (-3)\/1*-1. Let w = -2 + p. Suppose -3*y + 4*x - 7799988 = 0, w*y - 3*x = -y - 12999991. What is y rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 150 = 3*u. Let r be ((-36)\/24)\/(6\/(-16)). Suppose 4*f = -r*o + 12, 2*f - 36 = 5*o - o. What is the remainder when u is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.73 + 1.23. What is the closest to 0 in -15, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 + 2*u - 5. Suppose -3*b - 3 = 5*x, 4*b + 5*x - 15 = -14. Let t(k) = -11*k**2 + 3*k - 6. Determine b*v(f) - 3*t(f).\nAnswer: -7*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7848823 take away -52?\nAnswer: -7848771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2)*-2*4 - (-3 + sqrt(2)*-4))*-4.\nAnswer: -16 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1914 + -1909. Which is the nearest to -2? (a) 1 (b) v (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(1\/3))**(1\/2))**(-23)*(k**(2\/3)\/k*k**8)**(-27) assuming k is positive.\nAnswer: k**(-1403\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 35. Calculate the least common multiple of 8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329.39 - -329.39. What is the nearest to 0.1 in 48, -5, -2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 l when four letters picked without replacement from {l: 5, x: 10, a: 4}?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -35293 - 153.16\nAnswer: -35446.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856030?\nAnswer: 2, 5, 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*d + 67*d = -5448. What are the prime factors of d?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1077 + 1739. What are the prime factors of o?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t - 3\/8*t**4 + 0 + 3*t**2 + 1\/2*t**3. Does 13 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -502990.\nAnswer: 6\/251495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 36597\/24686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 593 + 1517. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 103. Solve -f = -5*f - x*h - 2, -h - 3 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1231*l**3 - 2*l**2 + 176*l - 177. Give h(1).\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*(c\/(((c**(-18)*c)\/c)\/c))\/c)\/c)*c**(5\/7)*c*(c*c\/c**4*c)**(6\/7) assuming c is positive.\nAnswer: c**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 3. Give q(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -0.9. Let o = a + 0.9. Let k = -1 + -1. What is the third biggest value in o, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 5, -2.\nAnswer: -6, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q = -47*q. Let i(x) = -x**2 - 2*x + 19. Determine i(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q. Let i(h) = -h. Let b be i(q). Solve b = 3*r + 5*k + 23, -4*r - 31 + 7 = 5*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/143640 and 179\/27300.\nAnswer: 9336600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/6 + 1273*h**4\/6 + 423*h**3\/2 - 3817*h**2\/6 - 635*h\/3 + 424 = 0.\nAnswer: -1272, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**7\/42 - f**6\/8 + 5*f**4\/6 - 24*f**2 + f + 11. Let k(c) be the first derivative of r(c). Factor k(p).\nAnswer: -5*p*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-10458)*(-2198)\/(-1413)*(-2)\/(2\/3).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(10)*1)\/sqrt(2) - (-1 + sqrt(5) + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 240461552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61492681?\nAnswer: 89, 690929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m**2 - 6*m - 7. Calculate w(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9927247963 to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 2, p: 1, o: 1, b: 1, i: 1}. Give prob of picking 1 p, 2 l, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -343*q. Let g(k) = 3*k - 2. Let c(y) = 16*y - 8. Let f(t) = c(t) - 4*g(t). Calculate x(f(p)).\nAnswer: -1372*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/1080)\/((-8)\/6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14466*i**2 + 258*i - 257. Let h be r(1). Which is smaller: h or -14466?\nAnswer: -14466","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 - 7*y - 2. Let f be j(5). Find the common denominator of 9\/f + (-350)\/(-72) and 101\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4103766 and 12?\nAnswer: 8207532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95827325 and -0.0402?\nAnswer: 95827324.9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -46*y - 1. Let k(f) = 2875*f + 30. Calculate -30*b(w) - k(w).\nAnswer: -1495*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 185, 187, 191, 197, 205, 215?\n\"Answer: u**2 - u + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(1\/2)*r*r*r*r))**(-7\/2)\/(r\/(r**4*r*r)*r*r\/r**(-4)))**(2\/9) assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-57)\/(-12))\/((-23)\/(-828)). Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2\/15, -9 in descending order.\nAnswer: -2\/15, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -249, -570, -1009, -1560?\nAnswer: -2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (676 - 684) + (-2)\/(12\/(-50))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (7 + 14)) + 82 + -23?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35625050*v**5 - 2*v**2 + 9574848*v - 1.\nAnswer: -2137503000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8191524.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-33264)*22)\/((-1)\/6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -13. Let g = p + -1.8. What is the third smallest value in 0.4, g, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12866 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -14*k + 13*k. Sort -6, -2, k in descending order.\nAnswer: k, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1959653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**8)\/(k*k*k**8))\/(k**(2\/7))**(4\/9) assuming k is positive.\nAnswer: k**(-71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:17 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 608340 by -152085.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 37\/7 + (-6)\/21. Suppose -y*w + 28 = 8. Let d(f) = 2*f - 2. Let t(x) = 1. What is w*t(p) + d(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42429 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.47 + -0.73. Let j = 5.2 + m. What is the nearest to j in 4\/7, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.081, -30, -4, 196?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142106 (base 11) in base 16?\nAnswer: -364c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(2\/81))\/n)\/n*n)\/(n**(-1\/4)*n))**(-36\/11) assuming n is positive.\nAnswer: n**(235\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(637))**2 + 1 + -5.\nAnswer: 56*sqrt(13) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37032159.\nAnswer: 3, 19, 29, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-20)\/(-6))\/(2\/39). Find the third derivative of -569*d - p*d**2 + 14*d**4 + 569*d wrt d.\nAnswer: 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 255, 273, 55, -399, -1089?\n\"Answer: -118*y**2 + 372*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -548 - -694. Calculate the lowest common multiple of j and 9.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5 + 5 = 5*w, -5*r - w = -2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0 + 0*l**2 - 11*l + 1\/3*l**3 - 1\/12*l**4. Let o(b) = -2*b. What is -2*h(t) - 2*o(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5737*m**2 - 3*m - 46. Suppose 2*b + 62 = -4*y, 0 = 3*b - 5*y + y + 43. Let t be j(b). What is t rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 - n. Let y(a) = 3*a**3 + 2*a**2 - 60*a. Determine -2*v(x) - y(x).\nAnswer: -x**3 + 62*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48ab3 - -1145?\nAnswer: -4796a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from fzlll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 405035 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16291 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i + 6. Suppose -19 = -4*r - 3*x, -r + x = -3*r + 7. Let m be n(r). What is the remainder when 660\/8*(-3 - m) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 7007. Let h(s) = 2*s**2. Give w(h(p)).\nAnswer: 6*p**2 + 7007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 7:37 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g - 29. Let b(r) = -4*r - 18. Let y(k) = 7*b(k) - 5*t(k). Give y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r + 4*r)*(0 + 1 - 3) + 3*r - 3*r - 2*r + (-8*r + 66 - 66)*(-5 + 3 + 0).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316880.\nAnswer: 2, 5, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/5546 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87632533.\nAnswer: 157, 223, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04317 - -0.30593. What is k rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n**4 + 0*n**3 + 1\/30*n**6 + 1\/6*n**5 + 0*n + 7*n**2 + 0. What is the third derivative of d(y) wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3626 - -3657.716. Round f to 1 decimal place.\nAnswer: 31.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/4 - 11*o**3 - 69*o**2\/2 - 46*o + 3542. Calculate m(35).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19082 is divided by 1192?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 6*w - 5. Let u be x(-5). Let b be (1 - 0 - 1) + 1. Differentiate -3 + 7 + u*m**2 - 2*m**2 - b wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1301227*r**2*u - 140279*u with respect to r.\nAnswer: 2602454*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13525*c**3 + c**2 - 2*c - 3340.\nAnswer: 81150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 90 = 6*y - 8*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 + 6*b. Let h(f) = 78*f**3 + 65*f. What is 6*h(m) - 65*i(m)?\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 664454689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.27 - 22.67. What is the closest to 0 in -3\/14, g, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*l = 3*u - 40, -u = 4*l - 8. Let t(h) = 7*h**2 - 3*h - 3. Let d(x) = -8*x**2 + 4*x + 4. Calculate u*t(q) - 6*d(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*w + 3*w. Find the third derivative of l**3 + 4*l**3 + l**2 - w*l**3 - 2*l**6 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/23568 and 79\/35352?\nAnswer: 70704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 512*w + 9*w**2 - 512*w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1592*k + 3144 - 4056 + 18424 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - b + 291 = 10*x, x = 2*b + 158. Let s = x - 124. What is the remainder when 71 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 2)**2*2 + ((2*sqrt(19) + -2)**2 - sqrt(19) - (-1 + sqrt(475))).\nAnswer: 10*sqrt(19) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25432011, 25432001, 25431983, 25431957, 25431923?\nAnswer: 25431881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5277686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*q - 14, -2*y = -2*q + q + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 times -5?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05485577 to three dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53696278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:40 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -14, -26, -40, -56?\n\"Answer: -x**2 - 7*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4024 and 2786117000?\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2235970 divided by 447194.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/621 and -31\/51060897.\nAnswer: 153182691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**3 - 318*a + 316*a + 3 - 4 - a**2. Give w(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/((-4)\/2))\/(-2). Let m = 6 - 6. Suppose m = -14*j + 46 - 4. Solve b = -p - j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 1821*h**4\/4 + 2531*h**2 + 7294*h. Differentiate l(n) wrt n.\nAnswer: 10926*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19081547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s - 4 + 0*s**2 - 4*s**2 + 5*s**2.\nAnswer: (s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljl when three letters picked without replacement from mlldjlj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**2\/5 - 96*i\/5.\nAnswer: 3*i*(3*i - 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 2*q + 7. Let o be h(-5). Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689527?\nAnswer: 101, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 102, 138, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*x = 30, -4*t + 6*x = 9*x - 177. What is the highest common divisor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((-4*k + k - 3*k)*(-3*k + 3*k - 3*k**2) - 3*k**3 + k**3 + 3*k**3).\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*i**2 - 74*i**2 + i + 0*i + 238*i**2 in the form s + l*i**2 + h*i and give l.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*m + 655*m = -20. What is the remainder when 3\/m - 9657\/(-174) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211049 is divided by 70349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5586 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98190135.\nAnswer: 3, 5, 1249, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = -30. Let g = 8 - o. Let i(t) = -t**2 + t. Let x be i(0). Solve g*m + x*m = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30269570 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -15*j**6\/2 + 47*j**5 - 365*j**4\/4 + 205*j**3\/3 - 15*j**2 - 219. Determine o, given that n(o) = 0.\nAnswer: 0, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.984225ms to hours.\nAnswer: 0.0000044400625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4610 = -924*c + 2054 - 2870 - 1042 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -62*w + 11. What is l(-2)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 1\/4 (c) 0.4 (d) -3 (e) -185179 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30a - -117?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23344*p*s**2 - 4*p*s - 15288*s wrt s.\nAnswer: 46688*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 88*b**3 + b**2\/2 - 2*b - 25. Let t be a(3). Suppose -t - 835 = -4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + 2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*q + 168, 0 = 5*q - 7*p - 487 + 114. What is the highest common factor of q and 21638?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 64?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 126*u - 1004*u + 20.\nAnswer: -878*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**3 + 3*c**2 - 5*c - 37. Let y(n) = 13*n**3 - 4*n**2 + 6*n + 38. Let q(g) = -4*w(g) - 3*y(g). Find the second derivative of q(l) wrt l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 3. Let j be w(-5). Let r be (-22)\/(-12) + (-6)\/(j - 29). Solve -3*s + r*b + 5 = -2, 5*s - 2*b - 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 9*v + 16 = 0. Suppose -u + 1 = -v. Let b = 7 - u. Solve d - 15 = -4*a, 0 = -b*d - 3*d - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 265114088.\nAnswer: 1\/66278522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 3*b - 15 = 0, 4*b = -n - 14. Suppose 2*l + 2 - n = -w, 5*w = -20. Let m be 1*l - (-4 + 5). Solve -m*f - 1 = 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.82187, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -34*q - 525. Determine k(-10).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -10. Which is the closest to -0.3? (a) o (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 3. Let g be u(5). Suppose 2*y - 2*n = -2*y + 88, 2*n = -g. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -13?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 - 700\/(-6). Suppose -5*j + 3*y - 98 = 217, 2*j + 126 = 4*y. Let n = g + j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*j - 830, -j - 5*q + 239 = 61. Calculate the greatest common divisor of j and 27547.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:00 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-29)))\/(l**(1\/6)\/l) assuming l is positive.\nAnswer: l**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2a4c4 (base 13) to base 6\nAnswer: -1414012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0 + 0*v**5 + 0*v**3 - 1\/15*v**6 + 3*v + 0*v**2 + 1\/12*v**4. What is the third derivative of b(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13265 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) -0.5 (c) 6 (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**6*l))\/l)**(-48) assuming l is positive.\nAnswer: l**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*(18\/(-12) - 22\/(-12)). Which is greater: -41\/7 or k?\nAnswer: -41\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016791499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + ((-4)\/2 - 4))*1. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(5))**2 + sqrt(25)\/(sqrt(5)*-1) - (-3 + (((sqrt(405) + -3)*-2 - sqrt(405)) + sqrt(405))**2))*-5.\nAnswer: -1075*sqrt(5) + 7365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60297\/10 - 6036. Let z = -1\/1575 - 70859\/25200. What is the common denominator of c and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384 + -383.538. What is w rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 24. Let i be -9*1*f\/6. Let m = 39 + i. What is the remainder when m is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-2)\/8*-2) - 0. Suppose 0 = -3*c + i - 12, 3*c - r*i = -3 - 6. Let w(d) = -d - 1. Calculate w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.06 - 0.06. Let t be (2 - 3)*4\/(-6). Let y = 8 - 12. Which is the closest to r? (a) y (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1 + 4 + 7*j + 2*j**3 - 3*j**3 - 5*j**2 + 3. Calculate t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 - 357*w + 697. Give d(49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 981931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032 * 15.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 17140\nAnswer: -3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31705*q**2 - 780*q + 4\/5.\nAnswer: (85*q - 2)*(1865*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 1, g: 1, r: 1, a: 2, e: 1}. Give prob of sequence rg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447017 is divided by 172.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 2 + -6 + (10 - 3). Let n(f) = f**3 - f**2 + f - 1. Let r(g) = -2*g**3 + 4*g**2 - 2*g + 1. What is c*n(k) + r(k)?\nAnswer: -k**3 + 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((2 + sqrt(1216))*1 - sqrt(1216)) - (-1 + sqrt(1216) + 4 - (4 + (sqrt(1216)*1 - sqrt(1216) - sqrt(1216)) + sqrt(1216)))) + -5)**2 + -5.\nAnswer: -48*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -79, -505, -1629, -3799, -7363, -12669, -20065?\n\"Answer: -58*n**3 - n**2 - 17*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10)*(-50 - -45) + -7)\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 75. Is c greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6) + 6\/9*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 555. Let g = 724908 + -724875. Calculate the smallest common multiple of g and x.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10740 - 10727. Solve j + 2 = -o, 0 = 2*j + 15*o - 10*o + x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(78\/18 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 10*x**2 + 9*x - 3. Let v be k(9). Let a be v*2\/(-12)*4. Suppose -5*n - p + 94 = 0, a*p - 4 + 14 = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 5*n + 2. Let s(o) be the first derivative of o**3\/3 + 2*o**2 + 2*o - 34. Suppose -3 = -5*b + 12. What is b*s(c) - 2*r(c)?\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34230 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**3 - 7*t**2 + 8*t - 10. Let u(w) = 2*w**3 - w**2 + 2*w - 2. Calculate -g(b) + 5*u(b).\nAnswer: -2*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y. Let j be k(1). Let w(i) = -7*i - 13. Let s(n) = -11*n - 20. Let l(z) = 5*s(z) - 8*w(z). Calculate l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y + 19*y + 23 + 5*y - 11*y. What is the tens digit of m(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.070162 and 3958.\nAnswer: 3957.929838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12173, -24371, -36575, -48785, -61001?\nAnswer: -73223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -3142?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6004, 41780, 137102, 321742, 625472, 1078064, 1709290, 2548922?\n\"Answer: 4962*w**3 + w**2 + 1039*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(24\/16 - 6). Solve -y = -6*d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77.8366 or 3?\nAnswer: -77.8366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 3. Suppose 0 = 2*l + 4*g - 10, 3*l = -g + 5*g + 25. Let z(j) = -209*j - 186*j - 10 + 607*j - 203*j. What is l*y(w) - 2*z(w)?\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 8. Suppose 0 = -3*s - 4*z + r, 2*s + 2*s - 7 = z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1827553 smaller than -1827555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62683 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 30\/4)*-636. Is (m\/9)\/(8\/(-172)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19208446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/8)\/(6\/72). Let g = 92 - t. Let p = g + -16. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 5*q**3\/6 + 15*q**2\/2 + 6*q. Let g be j(-4). Sort g, -4, 5 in increasing order.\nAnswer: g, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 5, 0.3, 1, 75 in increasing order.\nAnswer: -1.2, 0.3, 1, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202881, 202890, 202913, 202956, 203025, 203126, 203265?\nAnswer: 203448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1260?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 2*r + r + (2*r - 1 + 1)*(-3 + 4 - 3) - 2*r + 3 - 3 + (3*r - 5 + 5)*(1 + 2 - 2).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008672 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -2. Let m(n) = -h*n**2 - 4*n + 4*n + 6*n**2. Let s(i) = 6*i. Determine s(m(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r + 15. Let g(b) = -13*b - 16. Let q(k) = 6*g(k) + 5*s(k). Calculate q(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**2 + 1\/24*a**4 + 0 - 7\/3*a**3 + 0*a. Let y be l(13). Which is smaller: y or 1\/20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - l + 28 = 0, 0*l + 4*l - 8 = -3*w. Suppose -9207 = w*a + 3489. Let t = 20641\/13 + a. Is 1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.4405m to micrometers.\nAnswer: 952440500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -195*n + 563*n**3 + 195*n + 2*n**3 + 4*n**3 - 4*n**3 + (-1 - 2*n + 1)*(-2*n**2 - 2*n**2 + 2*n**2).\nAnswer: 569*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/4 + 4882511*r**2\/4 - 9765034*r + 19530076 = 0.\nAnswer: -4882519, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -7\/5, 2\/3, -38, 0.43 in decreasing order.\nAnswer: 22, 2\/3, 0.43, -7\/5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 122976 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.035 and -87726?\nAnswer: -3070.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*a = 21, 5*k = 4*k - 3*a + 3. Let g = -202 - -284. Let t = g + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -3. Let m be (-2)\/72 + o\/8. What is the fourth biggest value in 5, m, 6\/5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 + 2366245.\nAnswer: 2366247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*j + 3065 = 834 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-6) - 0). List the prime factors of (-45)\/v*6 - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2361251 to three decimal places.\nAnswer: 0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvvapfv. What is prob of picking 1 a and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4))\/g)\/(g\/(g**(-4\/7)\/g))*g**2*g**(-2)*g**(2\/11)*g**6\/g*(g\/(g\/((g*((g*g*g**4)\/g*g)\/g)\/g)))\/(g**5\/g) assuming g is positive.\nAnswer: g**(-30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1112595 and 1112595?\nAnswer: 1112595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87439417, 87439414, 87439411, 87439408, 87439405, 87439402?\n\"Answer: -3*b + 87439420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37220, 3, 7 in increasing order.\nAnswer: 3, 7, 37220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/95 and (-56)\/(-2310)*(-3 - (-18)\/(-20)).\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4351.6 - 4352. Put z, 2, 1003, 0 in descending order.\nAnswer: 1003, 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 293 = 7*o. Find the common denominator of (-167)\/o + 7 - 3 and -4\/165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (-2*sqrt(128) + 5 + 3*(sqrt(128)*1 + sqrt(128)) + -2 + ((2 + sqrt(128))*3 - 3*(sqrt(128) - sqrt(128)*-2 - sqrt(128) - sqrt(128))))**2).\nAnswer: 2304*sqrt(2) + 8504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6384 and -37\/15.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 14, 3 in increasing order.\nAnswer: -1, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + (-8 - (-2 - -1)) - 22.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22bfab - -5?\nAnswer: 22bfb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13\/3)\/(p\/(p*(p*(p**(-25)\/p*p)\/p)\/p)))\/(p**20*p\/(p\/(p\/(((p*p*p\/(p**42\/p))\/p)\/p)*p))) assuming p is positive.\nAnswer: p**(-277\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*(45 + -43).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -3\/4, -1, -1.47, 2974, 3 in ascending order.\nAnswer: -1.47, -1, -3\/4, 2\/17, 3, 2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:31 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 99 = 3*q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (8 + -8 + 44 + -11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/15*(-5)\/(-2))\/(-4))\/(27\/(-1944))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 9*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:13 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/50*(-28)\/49.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 177\/(-72) + (-2)\/12. Sort 0.3, c, -0.1, 0.1.\nAnswer: c, -0.1, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Suppose l = -5*k - 16, -l = -5*k + l - 13. Let b be 9\/k - -4 - -3. Let g(v) = -b*v**2 + 3*v**2 - 2*v**2 + 6*v**2. Give g(c(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/6, -2\/19, 0.2, 3, 0?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(9\/3) - -7. Suppose c*z + 2*h = 34, -z - 14 = -3*z + 3*h. Calculate the highest common factor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a factor of 2749936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -70, -90, -124, -178, -258, -370?\n\"Answer: -i**3 + 2*i**2 - 11*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 203.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.60000091 + -1.6. Round v to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - 3 + 13*c**4 - 27*c**4 + 4*c**2 + 13*c**4 + 5 as t*c**2 + v*c**3 + q*c + a*c**4 + y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 11086?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228314?\nAnswer: 2, 3, 204719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-24) + 178\/12. Let y = a + 0. Solve 1 = 4*u - y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**3 - t**5 + t**4 + 5*t**3 - 21*t**2 - 18*t - 3*t**4 + 30*t**2 + t**4 = 0.\nAnswer: -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000427 to 6 dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -420 + 467. Suppose 47 = 28*v + n. What is the nearest to -0.3 in v, -2, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = 3*o + 165*w - 112, -4*o = 4*w - 10 + 5 + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 - 26*r**2 + 25*r + 11. Let m(w) = w**3 - 12*w**2 + 12*w + 5. Let p(d) = -5*m(d) + 2*y(d). Suppose -v - 13 = -4. Determine p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7976 + 5283. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 7, 48, 531\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -50. Is u + (297 - 2) + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3 + 1. Let d(w) = 6 - 1 - w + 0*w. Let s(g) = g - 6. Calculate k*s(i) - 5*d(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24633044.\nAnswer: 2, 19, 324119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -347 - -440. Let b(j) = -5*j + 15*j + 2 + 0*j. What is the remainder when x is divided by b(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18116469 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 90*y**2. Let v(m) = -3*m**2. Give l(v(f)).\nAnswer: 810*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a + 0*a + 8*a - a.\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:37 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.053 * 3.\nAnswer: 3.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 58*d**2 + 5*d - 7. What is the smallest common multiple of 48 and c(1)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(700) + -1)*5)**2 - (1*sqrt(700) + -1 + 1).\nAnswer: 1990*sqrt(7) + 17900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4733, -9505, -14291, -19097, -23929, -28793, -33695, -38641?\n\"Answer: -x**3 - x**2 - 4762*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91542164 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: Is 4146504529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**1))\/w*w\/(w**(-6)\/w)*w\/(w*w**2)*w\/w**(-5))\/((w**1)**(-15\/8)\/(w**(-1\/2)*w*w*w*w*w**(3\/2)*w*w*w)) assuming w is positive.\nAnswer: w**(175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35896 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 288 = -108. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*sqrt(891)*-2 + -2 + (-2 + 5 + sqrt(891)*-1)**2.\nAnswer: 54*sqrt(11) + 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 24550303?\nAnswer: -24550303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (36\/(108\/(-18)))\/(12\/(-45874))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 39. What is the second smallest value in z, 1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:23 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51485469107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*36\/(-8). Solve 0*d + 4*l - 17 = -3*d, -l + 11 = h*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285071121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 11*g - 2. Let y(f) = -12*f**2 - 17*f - 3. Let h(c) = r(c) - y(c). Let a(m) = -11*m**2 - 7*m - 1. Calculate -4*a(w) - 5*h(w).\nAnswer: -6*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 + 173 = 52*f. Let q = -347\/2 - -43383\/250. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201923810 divided by 110.\nAnswer: 1835671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16631 divided by 1?\nAnswer: -16631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nta when three letters picked without replacement from nacaddxntaaataa?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let j be 2 + (-6)\/(-2) + -1. Let f(s) = s - 4 + 0 + j. Determine f(k(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 104 = 5*k. Calculate the remainder when 48 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(1\/5)))**22*(y\/y**(-2))**(5\/14) assuming y is positive.\nAnswer: y**(-233\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0*i - i = -7, 5*i = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*y + 367*y + 103*y)*(y**4 + 5*y**3 - 5*y**3) + 4*y**5 - 4*y**5 + 2*y**5.\nAnswer: 331*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47046335 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.848605313597 and 1.5?\nAnswer: 3.348605313597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -10, b + 3*b - 3*n - 37270 = 0. Let a = -20816 + b. Round a to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7112*z**2 - 7*z - 410. Let a(k) = 21330*k**2 + 20*k + 1228. Let h(b) = 5*a(b) + 14*v(b). Find the second derivative of h(w) wrt w.\nAnswer: 14164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1252 - -1273. Let d = 5.7 + -29.7. Let b = d + v. Sort -1, -2, b in decreasing order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 27*k - 84. Solve 0 = -j - 1 + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1259 + 16356\/13. Is -2\/5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 14, 2, -10, -22, -34?\n\"Answer: -12*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*(-144)\/240\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1837112*x**2 - 9. Let p(v) = v**2. Give w(p(f)).\nAnswer: -1837112*f**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 24*w - 17*w.\nAnswer: -41*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018195609.\nAnswer: 709, 1436101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i**2 + 4*i**2 - 7*i**2)*(-1 + 3 - 1) - 12*i - 39*i**2 + 9*i - 4*i + i - i + i**2 + (-i**2 + 0 + 0)*(3 + 3 - 7))*(-i + 3*i - 3*i).\nAnswer: 40*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g - 2. Let d(l) = 73*l + 3667. Calculate s(d(c)).\nAnswer: 1241*c + 62337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = n, -3*t + 4*n + 23 - 1 = 0. Suppose 2*i = -t*i. Let p be -22 - -24 - 1*-4. Solve 11*s - 8*s + p = i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 - 11*y + 4. Let w(r) = -r**2 - r. Let u(q) = -l(q) + 5*w(q). Calculate the remainder when 23 is divided by u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1648, 6566, 14762, 26236?\nAnswer: 40988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89269 - 19645 = -11405*t - 139373 - 30508 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*x = 12, z + z - x = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1342 and 550?\nAnswer: 33550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 332559256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192 + -3 + 0 + 5?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 1, m: 1, c: 1}. Give prob of picking 1 t and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 925 and 3145.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 - 2*n - 3. Let o be r(-10). Suppose 13*k - 16*k = -o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (935\/(-20))\/(5\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6886)\/(-3756) - 1721\/102) + 15?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-five halves of a century?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 - 131 = 0. Suppose m*r + 2295 = 54*r. Suppose -4*n = -r + 47. What is the remainder when n is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510*f - 516*f + 504 = 0. What is the highest common divisor of f and 1596?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l**3 - 1 - 8*l**3 + 2 to the form a*l**2 + q*l**3 + n*l + p and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 4?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 174*m - 169*m - 20 = 0, -5*t + 10 = 5*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7252 + -65.\nAnswer: 7187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**3 - 12*v**2 - 18*v. Let z be h(-2). Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5562 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*o - 50, -g = o + 4*g + 8. Let z be (7\/6)\/o - (-69)\/18. Solve 0 = 5*m - 2*a - 0*a - 14, -z*m + 10 = -a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93092 and 13838?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10846879 divided by 70.\nAnswer: -10846879\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(2016)\/sqrt(7)) + 4 + (-6*(1 + -2 + sqrt(637)))**2.\nAnswer: -3023*sqrt(13)\/6 + 22972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1080105*-0.5\nAnswer: -540052.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-171)\/33 + (-8)\/(-44). Let y(h) = -4*h**3 + 12*h**2 + 16*h. Let d(s) = -3*s**3 + 8*s**2 + 11*s. Let p(l) = a*y(l) + 8*d(l). Factor p(x).\nAnswer: -4*x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*z = -19, w + 2*w + z - 6 = -w - 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 + 43 - (-1 - -8 - 1)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1683*n + 38 = 1680*n - z, -n + 4*z = 30 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -57*d**2 + 83*d**2 - 312*d**2. Let g(j) = 2*j. Calculate l(g(m)).\nAnswer: -1144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*7\/(-84)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*s + 15*s + 47*s**2 - 39*s + 3*s**2 + 2*s**2 - 9*s**2 + (0*s + 2*s - 3*s)*(4*s + s - 3*s) to the form n + t*s**2 + c*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m. Let g(a) = a**2 + 2*a. Let k(x) = 3*g(x) - 6*u(x). Let o(w) = -2 + 5 + 3*w - 3. What is k(o(s))?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -30*p**2 - 4. Let k(h) = -h**2 - 1. Suppose 11*a = 45*a + 136. Calculate a*k(r) + x(r).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.221 * -26041.\nAnswer: 5755.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, 0.7, -14, -2\/21?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00428469 rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8 and 109\/528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9015 - 9013. Let 2\/5*t**d + 4\/5*t - 16\/5 = 0. Calculate t.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21013000 + -110?\nAnswer: -21013110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -333 + -3?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6 + (-3)\/9. Let d = -2.1 - -0.1. Let p = d - 0. Which is the closest to -1\/4? (a) 5 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r - 1. Let x(t) be the second derivative of -3\/2*t**2 + 2*t + 0 - 1\/2*t**3 + 1\/3*t**4. Give -x(w) + 3*z(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4)*1 + 1 + 39. Solve 3*i + 5*v = m, 0 = 4*i - 9*i + 4*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*f + 613 = 615, -55 = 5*l - 5*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -370a8 + 1085?\nAnswer: -36023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let l = 2.1 - i. Let s = -8911 - -8913. What is the second smallest value in 1, s, -3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 9*f**2 - 2*f + 4. Suppose -4*r + 48 = 3*h - 5*r, 0 = -5*h - 2*r + 69. Let g = -24 + h. Calculate the least common multiple of u(g) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 207?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*q + 1547 = 0, q - 3839 = -5*t + 3*q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 3128 = -532. Let h = a - -132. What is the least common multiple of 50 and h?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + 2*z**2 - 7*z + 0*z - 4*z**3 + 3*z + 2 + 2*z - 2*z in the form s + v*z**3 + c*z + q*z**4 + j*z**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3\/3 - 5*l**2\/2 - 5*l - 2. Let a be x(-4). What is the remainder when 7 is divided by (16\/56)\/(a\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*t = 20477, -5108 = 133*u - 134*u - 5*t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x = 18. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:24 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 402, 604?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095728 is divided by 427.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6393 - 110883 = 6*w. Let b = w - -30779. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121\/10? (a) 0.2 (b) -3\/7 (c) 12471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -3*k + 2*n, -2*n + 499 = 2*k - 5*n. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(sqrt(560) - (sqrt(560) + sqrt(560)*4)))\/(sqrt(49)\/(sqrt(7) - sqrt(175)) + sqrt(7) - (sqrt(77)\/sqrt(176) + sqrt(7))) + -3)**2.\nAnswer: -1344*sqrt(5) + 46129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Suppose q*m + 3*y - 11 = -1, m + y - 2 = 0. Let p = 196 - 190. Solve -h = -m*d - p, 3*h = -2*d + h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 2)*(2*c - 2 + 2).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + 5 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066324042 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -1632, -3641, -6454, -10071?\nAnswer: -14492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -68. Suppose -i*s = -9*s + 12. Let r be 11\/3 + (s\/(-2))\/6. What is the smallest value in 1\/6, r, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 12 = 4*q, -2*q = -2*i + 7*i - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333 minus 0.3?\nAnswer: -3333.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4047, 7968, 11887, 15804, 19719?\n\"Answer: -i**2 + 3924*i + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 12. Suppose 0 = l - 2*l + 3, 3*u - q = -4*l. Solve -5 = -z - u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*r**2 + 8*r**2 + 12*r**2)*(1 - 1 - r) - 3*r**2 - 10806*r + 8*r**3 + 10806*r to the form c*r**3 + g*r**2 + k + b*r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5889102 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.7. Let l(r) = r**3 - 6*r**2 + r - 6. Let p be l(6). Suppose x - 3*x - 8 = p. Which is the third biggest value? (a) x (b) f (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -31.05. Let m = -1.99 + i. Let d = m + -0.06. Which is the third biggest value? (a) -5 (b) d (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 447278*v**2 + 113515*v.\nAnswer: 894556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 134*d. Let k(h) = 118*h. Give k(o(f)).\nAnswer: 15812*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 25. Suppose -2*y = 3*f - 199, u*f - 41 - 148 = -2*y. Suppose 3*p + p + w = 147, 3*p = -4*w + y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 10, -4*v - 4*u + 5*u + 51 = 0. Suppose d - 31 = -3*m, -2*m + 0*d = -d - v. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 54 = 4*z - 5*b, 23 = 3*z + 5*b. Suppose 3*o + z = 2*o. Let a = 19 + o. Solve i + 3*i + 2*f = a, -3*f = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.001, 2\/5, 0.14.\nAnswer: -0.001, 0.14, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0*m - 4*m + 45 - 52 + 2*m. Determine p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10275 and 40806135.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 + 26 - 773540\/4. Round b to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/207 and -101\/12.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28069821.\nAnswer: 3, 13, 19, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(0*y**4 - 2*y**4 + y**4) + 0*y**4 - 2*y**4 - 2*y**4 + 75*y**4 - 10*y**4 + 6*y**4 to b*y**4 + t + g*y + q*y**2 + v*y**3 and give b.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -53. Let u(q) = -12*q - 3. Let p(v) = 155*v + 40. Let h(m) = g*u(m) - 3*p(m). Let y(b) = -b**2. Determine h(y(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 86, -17 in decreasing order.\nAnswer: 86, 65, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and -37\/545.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:54 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 403. Let r = -398 + b. What is the closest to 0 in -2\/11, r, -0.26?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)*g\/g**10*(g**5*g)\/g**(-7\/4) assuming g is positive.\nAnswer: g**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, 2, -0.1, -70?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 52152911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -27. Suppose 3 = -2*t + z. Calculate the remainder when 8 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.52 - 20.52. What is the nearest to -5 in -1\/4, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/5 + (-37)\/(-5). Let x = i - 8. Let m be -3 + x - (-2)\/2. Put -3, m, 2 in decreasing order.\nAnswer: 2, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 157580000 rounded to the nearest one hundred thousand?\nAnswer: 157600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/12)\/((-6)\/172). Suppose b*g = 47*g + 180. Is -46 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42196.1 to the nearest 100.\nAnswer: 42200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.7 - -8.3. Let y = r + -38.9. Which is the second smallest value? (a) -7\/4 (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 837, 833, 829, 825, 821?\n\"Answer: -4*f + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/42*(1 + -2 + 1). Let j be (4 + (-16)\/3)\/(4\/6). Sort -1, j, -5, s in decreasing order.\nAnswer: s, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*((-77)\/14 + 5). Sort s, -29, -2\/11.\nAnswer: -29, s, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 - 4*s + 2. Let y(j) = 2*j**2 - j + 1. Let k(t) = 4*w(t) - 11*y(t). Let z be k(-3). Suppose z = i + 4*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58678 = 173*y - 135766 - 191000. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.694812792 to 3 dps.\nAnswer: -3.695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.853 and -0.09.\nAnswer: 1.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a minute in seconds?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**7\/21 + c**6\/30 - 7*c**4\/4 + c**2 - 3*c + 4. What is the third derivative of n(s) wrt s?\nAnswer: -120*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 3\/5, 501, -10?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 270.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + m**2 - 2*m. Let o(d) = -d + 1 - d**2 + 4*d + 0*d**2 - d**3. Suppose -6*l - 30 + 12 = 0. Let y(j) = l*o(j) - 4*u(j). Determine y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*g)*(-5*g**4 + 0*g**4 + 4*g**4) - g**5 + g**5 + 2*g**5 + 3*g**3 - 3*g**3 + 2*g**5 - 4214*g**3 + 6*g**5 - 4136*g**3 + 8097*g**3.\nAnswer: 13*g**5 - 253*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*v + 32 = 0, 3*v - 1534 = 5*x - 1568 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -5) + 1*-1. Suppose j = 5*d + 2*j - 137, 0 = -n*d - j + 109. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, 1332, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52530 at most as big as 53\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Suppose 3*n + 3*k - 1 = 5, 0 = 2*n + 4*k - 10. Let w = n + 9. Let v(g) = -w*g**2 - 26*g + 26*g - 2*g**2. Give v(t(o)).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 64. What is the derivative of -25 - 16*g**3 - 10*g**3 + l*g**3 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -19 + 4 + 0 + 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p + 5 = -5*f + 136*p, 2*p = -5*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 110.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = -4*a, 10 = -4*a + 2*u - 3*u. Let k be a + 9\/(-1 + 4). Solve -v = -k + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (310\/6 + 10\/45*-3)*173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 3, a: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-32)\/14 + (-1944)\/(-324) - 26\/56?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77860688.5 plus -157?\nAnswer: 77860531.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 45 = -10*k, -5*s + 5*k - 2 = -32 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 190116\/18468 + (-1 - 4). Let h = r + -102\/19. Is h at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (80\/(-24))\/((-4)\/6). Suppose 3*q = w + 4. What is the first derivative of -4*p**3 + q*p**3 + 12 - 3 - 6*p**3 wrt p?\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921250937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 162c3?\nAnswer: -162c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2*m - 11. Give n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5 (b) 81309 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 408297326 not equal to 408297326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128 = -3*g - 3*r + 2786, r = -4*g + 6540. List the prime factors of g.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*k - 3, 103*s = -4*k + 105*s + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 223332560.\nAnswer: 223332570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + 3 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -54. Suppose m*f + 4*s = 28, 0*s = f + s - 8. Suppose -3*y - 2*o - 3*o = 20, 16 = 4*y - f*o. Solve -c - 4*h - 5 = 0, c - h - 1 - 4 = y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Suppose w - 12 = -3*w. Suppose -w*q = 2*q. Sort 4, o, q in descending order.\nAnswer: 4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322221321 + -1?\nAnswer: 1322221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -214820?\nAnswer: -214824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1374712.13 to the nearest 100.\nAnswer: -1374700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -25*b + 612. Let w be t(24). What is the greatest common factor of w and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*(110\/(-16))\/(-11).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1496 - 830. Let k(g) = 1341*g - 671*g - c*g. Let n(h) = -12*h. Determine 14*k(b) + 5*n(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52535 (base 8) to base 4\nAnswer: -11111131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 744.2864g?\nAnswer: 744286400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/6, -0.01, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 42007?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -224 (base 10) to base 8\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268357573?\nAnswer: 11, 263, 92761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-18)*(-292)\/6. Let b = s - 9. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (23 - (47 + -48)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = 18 - 52. Let o(s) = 45*s + 47. Let h be o(c). Solve 3*a = -2*b - 16, -h*a - 3*b - 12 = -b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 17*s - 4. Let r(v) = -18*v - 4. Let d(t) = 2*h(t) - 3*r(t). Let f be d(-10). Solve -4*b + f = -8*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37480 divided by -105\nAnswer: -7496\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 + r + 2. What is i(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z + 68*z = -18*z + 27, 2*y - 3*z = 91 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 + 2*t - 1. Determine h(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*h**3 + 35*h**3 + 37*h**3 - 100*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 30 = a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51097)\/(-111)*(-93)\/8816. Let a = m + 24\/551. Calculate the common denominator of -77\/20 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 18*t**2 - 36*t - 154. Let n be f(-5). Suppose -5*q + 4*m = -n, 12*m = 5*q + 14*m - 452. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5839894.\nAnswer: 2, 103, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218996 (base 12) to base 5.\nAnswer: 114034014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264211909?\nAnswer: 13, 17, 43, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15310*-4*(-14)\/112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + y + y - 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(3 - 2 + 1)*(-8 - 4 + 5)*(-1 + 1 - 2*j)*(-16*j + 6*j + 15*j).\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450707 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000073621959 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21464 + 21473.317. Round y to 1 dp.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/980*-7)\/((-8)\/(-14)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 1259916029857?\nAnswer: -1259916029857.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8650931 to the power of 1\/2, to the nearest integer?\nAnswer: 2941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 11*x - 153 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose f + z = 11. Suppose 0 = 2*p - 3*p - 2*g + 78, 0 = -2*g - 2. What is the highest common divisor of f and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/60 - k**4\/12 + 4*k**3\/3 + 19*k**2. Give b(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, -1\/6, 1.88709, 5, 2 in descending order.\nAnswer: 5, 2, 1.88709, 1\/4, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-one quarters of a microgram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 580.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93877, -93211, -92571, -91969, -91417, -90927?\nAnswer: -90511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:22 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b = 12. Suppose b*w - 16 = p, 5*w - 2*p = 8 + 12. Solve -w*x + 11 = 5*a, -14 = -x - 6*a + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3550666937.\nAnswer: 17, 208862761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18411 and 250800.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8552239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -45 + m + 116 - 58 - 4*m. What is g(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8505*h - 14103*h + 11311*h - 12929*h.\nAnswer: -24226*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2627, -7, 3, 18, 1 in increasing order.\nAnswer: -7, -4, 1, 3, 18, 2627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.00997, 1\/5 in descending order.\nAnswer: 1\/5, 0.00997, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7677 and 180836?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 834148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 2*x**2 - 2*x. Let g(w) = -w**3 + 3*w**2 + 3*w. Let y = -60 - -66. Suppose -y - 4 = 5*a. Give a*g(v) - 3*d(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 28 = 35*d. Let c(b) = -3*b**2 - 1 + 4*b**2 + d*b - 3*b + 2. Let k(v) = -3*v**2 - 2*v + 5. Let x(s) = -2*c(s) - k(s). Give x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t = -35*t. Let u(l) = -l**3 + l**2 - l - 3. Let k be u(t). Let m(v) = -7*v - 4. Let z(i) = 6*i + 4. Let r(n) = -2*m(n) - 3*z(n). Calculate r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3*(-1)\/(-7)). Suppose -2*c + 9*c = 658. Let h = -90 + c. Solve -h*k - 13 - m = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzuxurr. Give prob of sequence urru.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 9. Suppose -4*f - 118 = -3*q, -2*q + g = -f - 79. Suppose m + m - q = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 7*w + 216. Suppose u = x - w, -5*x + x + 113 = u. Calculate the remainder when 55 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 88. Let n = m - -11. Calculate the remainder when (n - (4 - 9))\/((-1)\/(-71)) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -21*t - 623. What is y(-27)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 61. Suppose -4*j + 155 = 5*p, -3*p = -0*j - 2*j - 115. What is the common denominator of i\/p + (-578)\/(-308) and -3\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80108 - -80109. Let k = -0.1 + 0.1. Which is the nearest to k? (a) y (b) -0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 779156, 1558292, 2337408, 3116504, 3895580, 4674636, 5453672?\n\"Answer: -10*c**2 + 779166*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j**2 + 44*j**2 - 10*j**2 - 16*j**2 - 13*j**2. Let a(c) = 13*c + 51 - 51. Give s(a(r)).\nAnswer: -338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1131 - 371 - 385 - 376. Let p(q) = -3*q + 1. Determine p(o) + 2*t(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 3070772.\nAnswer: 33778492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/84*-20*(0 - -1). Suppose 0 = 2*l - p - 6, -2*l + 16 = p + 3*p. Solve l*q + t - 17 = -0, t = z*q - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4699 = -3*k + 4112, 2*h - 8793 = -3*k. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (-8 - (-11 - 0)) + 4 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-40 + 31 - 34) + -66.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187926955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1323\/199?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9414 = 2*l, 2*k = k + 2*l + 4719. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y - 35*y - 858 = 0. Solve 5*d - y*d = -119 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*o**3 + 7*a**3*o + 2*a**3 + a**2*o**2 + 29*a**2*o + a**2 + 78*o**3 - 7*o**2 wrt o.\nAnswer: 6*a**3*o + 2*a**2 + 468*o - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - w)*(6 - 4 - 1)*(2 - 7 + 12)*(2*w - w - 2*w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -190, -780, -1776, -3184, -5010, -7260?\n\"Answer: -g**3 - 197*g**2 + 8*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 2*s + 1. Let q(i) = -i**3 - 12*i**2 + 5. Let f be q(-12). Suppose 0 = f*b + 36 + 4. Let c be (1 - -3) + (b - -1). What is m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465*g**3*k**4 + 2*g**3 + 252*k wrt k?\nAnswer: -5580*g**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434949*a**3 + 2*a**2 + 930*a - 105?\nAnswer: 2609694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukdkdudddkkud. What is prob of sequence udkk?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 811*n + 10. Let w be s(-1). Let g = w + 888. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3859 is divided by 766.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/17 (c) 5\/3 (d) 132 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 6\/35 (b) -10 (c) 0.015 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 48. Let l = t + 20. Suppose l*k = k. Solve 4*b + 0*b = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 7*f - 24. Let x = 26312 + -26313. Let w(a) = -a + 1. Determine x*m(l) - 5*w(l).\nAnswer: -2*l**2 - 2*l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/((-1)\/3). Let y(f) = 6*f - 5. Let l(j) = -j + 1. Let t(a) = 11*l(a) + 2*y(a). Let w be t(n). Is -3 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 448 = k. Let s be 20\/(-12)*(-54)\/15. Suppose -k = -s*g + 46. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjbjbjjjjj. Give prob of picking 2 b and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1112 = -4*h. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/3 + (-48)\/36?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 b when four letters picked without replacement from yfybbblybyyyffbffy.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12211139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14963, -29994, -45087, -60242, -75459, -90738, -106079?\nAnswer: -121482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.07 (b) -3 (c) -0.1 (d) 1 (e) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2091 times -1\nAnswer: -2091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-90)\/120)\/(1\/(-4))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/395 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.064?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -300, -1747, -4168, -7569, -11956, -17335, -23712?\n\"Answer: -q**3 - 481*q**2 + 3*q + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*u**3 - 114*u**4 - 77*u**3 - 18816 + 118*u**4 + 4232*u**2 - 9343*u - 185*u**3 - 4993*u.\nAnswer: 4*(u - 28)**2*(u - 6)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d**2 + 11 - 123*d**2 - 41*d**2 - 4.\nAnswer: -221*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.876798 centuries?\nAnswer: 987.6798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1*13\/(728\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/(-2))\/(-1*36\/(-24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 3*f - 2. Let s be r(-2). Suppose 3*j - 9 + s = 0. Suppose j*a = 4*a - 5. What is the lowest common multiple of 3 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 221 and 63.\nAnswer: 13923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37270*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*t - 265*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/5 - 143528*a**2\/5 + 1287517924*a\/5.\nAnswer: 4*a*(a - 17941)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 162187 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9842 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7260260 - 3?\nAnswer: 7260257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3528963 and 17352?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/76 + (-16)\/(-152))*(2136 - -2). Which is bigger: l or 1067?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*m + 3*m - 82, 2*l - 66 = -4*m. Suppose -3*o + 17 + m = 0. Calculate the remainder when 20 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, k: 7}. Give prob of sequence kkt.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 1 - 13. Suppose -20*b + 99 = -101. Calculate the least common multiple of b and (-9 - -7) + 6*t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 328 + -4?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165191.036913 + -165203.96. Let j = y + 229.924157. Let n = j - 217. Round n to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10114+-664120\nAnswer: -674234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*n - 3*n + 95, -n + 2*r = -33. Let o be n\/21 + 21\/(-49). Factor -2\/3 + 0*i + o*i**2.\nAnswer: 2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t - 14 + 40 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(10 + 9 + 4)*(0*k + k + 0*k)*(-119 - 22 - 19) to m + n*k and give n.\nAnswer: -3680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 540125 (base 7) to base 5\nAnswer: 10444312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -283 - -407. Let q = u - 104. Suppose 4*v - 240 = -0*v. What is the greatest common factor of v and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -423, -3473, -11647, -27507, -53615?\n\"Answer: -427*z**3 - 61*z + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/(-25) - 2\/5. Let s = o + -4. Suppose -c + s = -6. Solve c*k + 3 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043955.\nAnswer: 3, 5, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3500))\/sqrt(7).\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.062 + -177.062. Let l = y + 177.0000419. What is l rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -26. Let h(p) = -3*p**2 + 2*p + 11. Let o(b) = b + 22*b**2 - 45*b**2 + 5 + 22*b**2. Calculate w*h(n) - 7*o(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -353 - -621. Suppose -n = -3*o + 152. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 6 (b) -3 (c) 1 (d) -1.6 (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 411?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/165*-25*378\/(-462)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9170 + 5099. Let v be 9\/(-54) - u\/126. Which is smaller: v or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 0.75, -2, 169, -1\/7, 0.2, 30?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuq when three letters picked without replacement from tauvvuvuqauutttu.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177651701 divided by 48001?\nAnswer: 3701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:27 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/((-4)\/96).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*k - 5 - 3 = 0, 2*w + 23 = 3*k. Is w at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 10*v - 6. Suppose -3*u = -160 - 122. What is the remainder when u is divided by p(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.53602 + 0.03638. What is a rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2579924, 5159845, 7739768, 10319693, 12899620, 15479549?\n\"Answer: o**2 + 2579918*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/5 != 176203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 divided by -1?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*f + 45, 2 = 2*y - 2*f + 32. Let d = -11 - y. Let i(l) = -l**3 - 8*l**2 + l + 12. Calculate the remainder when d is divided by i(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(252) + -4*-1*sqrt(252))*-4*5)**2.\nAnswer: -7560000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 1. Suppose -11*c + 9*c = 12. Let n be c*((-24)\/9 + 2). Let s(q) = 5*q**2 - q - 1. Give n*x(f) - 3*s(f).\nAnswer: f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2454 (base 6) to base 4.\nAnswer: -21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/1600*(-6 - 0). Let w(t) = 2*t**2 + 4*t - 1. Let d be w(-3). What is the nearest to -2\/13 in -2\/5, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 690591 by 1.\nAnswer: 690591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*l - 3*l + 0.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080417 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 447759561*i**5 + 2*i**2 - 26951554*i wrt i.\nAnswer: 26865573660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53718785 divided by 10743757?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80945 is divided by 794?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 125, 8.\nAnswer: 0, 8, 10, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 9:13 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 23*t - 9. Let x(a) = a - 1. Let i(f) = p(f) - x(f). Calculate the remainder when i(7) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585392504 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5559 + -16676\/3. Suppose 0 = -2*b - b + 210. Let s be (-4)\/14 - (-62)\/b. Do f and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 52, 61, 70, 79, 88?\n\"Answer: 9*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -109054348\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067871 divided by -6?\nAnswer: 2067871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4900*u + 1269042. Determine m(259).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 9360?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. What is the remainder when 3 + -3 + 62*u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7127.5 + 7128. Sort -10, k, -2\/203 in ascending order.\nAnswer: -10, -2\/203, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 3*t)*(-4 - 1 + 3) - 7 + 9 + 2*t - 6.\nAnswer: 6*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Let t = 1.8 - 36.8. Let f = t - -33. Which is the second biggest value? (a) f (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.921 times -378.1\nAnswer: -348.2301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 + 14*o**3 - 26*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*j + 2, -5*j = -2*x - 3*x. Suppose -5*u + 4*i - 2 = j, -3*u + 5 = 5*i. Suppose u*r = -2*r + 78. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/2184 and 49\/12.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221.6229 milliseconds to seconds.\nAnswer: 0.2216229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/y)**(6\/19)\/((y\/(y*y**(-2\/3)))\/(y*y**(-5\/2))) assuming y is positive.\nAnswer: y**(-319\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:20 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 9*r**2 + 6*r + 10. Calculate d(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrfffmrrffrmrffrff. What is prob of sequence fr?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/307766720 and -63\/75730.\nAnswer: 307766720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 - -5. Let o be ((-3)\/9)\/((-6)\/18). Which is the third smallest value? (a) t (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i + 17. Determine r(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196862413*y**2 + 4525138*y wrt y.\nAnswer: 393724826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 97. Let n = -85 - r. Let u be (64\/(-80))\/((-2)\/(-5)). Which is the nearest to 0.1? (a) n (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = 5*t, 3*h - 2*t = -0*h + 9. Let n(a) = 20*a + 10*a**2 - 6*a**2 - h*a**2 + 22. Let s be n(-20). Solve -4*c - 6 = -s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*b - 1525*b + 2244 - 12457 = 20625 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35299 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0, -807, 3\/8, 14.8, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-308)\/60 - -2. What is the second smallest value in -8, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from wimwmgwwmwlww?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*j - j - 160, -5*j - 28 = -d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*1472*236\/(-1357)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 31*g - 133. Let w(s) = 367*s + 2. What is the tens digit of w(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.1 - -119.1. Let g = l - 79. Let s = g + -37. Does -0.01 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (sqrt(500) + -1)*-1 - 2*sqrt(500)*-1)**2 - (sqrt(500) - (-1*sqrt(500) + sqrt(500))*-2)*-4.\nAnswer: 80*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -79 times -438\nAnswer: 34602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111111 + 10110111001?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0440228872 rounded to four decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232333 (base 5) to base 14.\nAnswer: -312c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2\/n)\/n*n\/(n\/(n\/(n**2*n)*n*n)))\/(n\/(n*n*n**1*n*n)*n*n**(-6\/11)))\/(n**(-1\/4)\/(n**(-2\/29)\/n)*(n**0)**(-22)) assuming n is positive.\nAnswer: n**(3479\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(35*w - 10*w - 11*w) to the form v*w + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 3*t - t)*(-6*t + 3*t + 4*t) + 0*t + 3*t**2 + 0*t + (-4 + 4 + 3)*(-2*t + 2*t + 2*t**2) to the form c*t + i + l*t**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 6) + (16 - 1) - 0. Suppose -d + i = -9*j + 11*j, 0 = -3*j + 5*d + 44. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259.001 - -1.201. What is g rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/30 + (-130)\/(-12) + -4. Let b(y) = -y + 4. Give b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.0212, -21, 0, -1.4.\nAnswer: -21, -1.4, -0.5, -0.0212, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 392*i + 1. Is 45 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-275)\/(-20))*-270*(-4)\/16?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 31*q**2 + 4*q - 19. Let n(x) = -1. Let j(c) = -15*c**2 - 2*c + 13. Let a(g) = -j(g) - 4*n(g). Let f(d) = 9*a(d) - 4*k(d). Is f(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4041 (base 5) to base 15\nAnswer: -24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7304024 divided by 1016?\nAnswer: -7189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -48*u**3 - 6*u - 7. Let q(y) = 144*y**3 + 17*y + 20. Let s(t) = -17*p(t) - 6*q(t). Is s(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - 19*f**2 - 141*f - 576. Let h be a(-4). Solve -15\/2 + 25*w**2 + 5\/2*w + 25\/2*w**5 - 35\/2*w**h - 15*w**3 = 0.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1092 and 107\/3192.\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -j + j - 12. Put -1, 2, 0.02, -3\/175, j in descending order.\nAnswer: 2, j, 0.02, -3\/175, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116156227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 3*o**2 + 4*o + 4. Let x be z(-4). Suppose 16 = -x*w + 6*w. Solve b + b = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 296*p + 15983. Give j(-225).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:48 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 42 = -48*d - 3*k, 4*k = -25*d + 229 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 108528.\nAnswer: 3147312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 10*l - 18. Let b be a(-5). Let d = b + 118. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8803 - -8800. Let x(j) = 11*j + 1. Let c(t) = 11*t + 1. Calculate a*c(u) + 2*x(u).\nAnswer: -11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, 2182 in ascending order.\nAnswer: -4, 1, 3, 2182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189380654 is divided by 13602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/4 - (-1 - 1 - -6). Let f = -8 - -13. Let x = 4.5 - f. What is the second smallest value in -2\/7, x, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrr when three letters picked without replacement from {q: 1, r: 3, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 1 + 1)*(-5*b + 5*b + 6*b**2) - 2*b**3 - b + b + 0*b**2 + b**3 + 0*b**2 + (0 + 0 + 2*b)*(0*b**2 - 5*b**2 + 3*b**2).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*68\/(-119))\/(-68).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218625 = -5*d + 311375. Round d to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 274479688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 33. Let k(d) = -d + 31. Is k(f) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 15. Let m(n) = 3. Let b(o) = -15*m(o) - 3*p(o). Let x(l) be the second derivative of -4*l**3\/3 - 9*l + 4291. What is x(b(u))?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 762916*u**6 - 226742*u**2 - u?\nAnswer: 91549920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 1 (c) 46 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*z + 1 = 0, -4*z = -2*o - 6 - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c\/(c*c**6))\/c))\/(c*c*c\/(c\/(c\/c**(-3)))*c)*(c\/((c*c**(1\/4)*c)\/c))**(-1\/3)*(c\/(c*(c*c**(-1\/4))\/c)*c*c**0)**(-41\/4) assuming c is positive.\nAnswer: c**(-611\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*z = 17*z + 464 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkkn when four letters picked without replacement from kmmnannmnnmnnnamk.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 597432\/19 <= 31444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 2*n + 1. Let p be l(-1). Let d be 9\/((-144)\/5)*2\/(-10). Is p > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 12*o**2 - 17*o - 29. Let y be q(-13). Suppose -2*l + y = -199. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = -33*q + 99. Is ((-2956)\/6)\/(1*(-22)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 103 - 97 + 5*c + 2*c. Let h(g) = -g - 1. Let a be h(5). Let q(j) = -1 + 8 + 7*j + j. Determine a*d(i) + 5*q(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17738494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 776 and 873.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/37 and -64\/63.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.7, -3, -57, -12.\nAnswer: -57, -12, -8.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from wslyxyccx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3486*u**6 - 47052756*u**4 + 47052756*u**4 + 1113*u**2 wrt u?\nAnswer: -418320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -80*l + 6. Does 14 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541, 2170, 4885, 8686, 13573, 19546?\nAnswer: 26605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81033 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + y + 8*y)*(0*y - 1 + 3*y - 1) in the form r*y + x + k*y**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 4*c**5\/5 - c - 6. Find the first derivative of l(i) wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.042 + -0.352. Let g = 0.01 + y. Let i = 0.1 - g. Which is the nearest to 0.3? (a) -0.3 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w*w*w**(-1\/8)*w)))\/(w\/(w*(w*((w\/w**(2\/93))\/w*w)\/w*w*w)\/w)))\/(w**(-17)*w\/((w*(w**24\/w)\/w*w)\/w)*w*w) assuming w is positive.\nAnswer: w**(30395\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 29*b - 80*b**3 - 5*b - 7*b.\nAnswer: -80*b**3 + 17*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-197)\/(-1)*1\/1 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006794 to five dps.\nAnswer: 0.00679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -5*u + 2019. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (4 - 7))\/(2 + -3). Let q(d) be the second derivative of d**4\/12 + 7*d**3\/6 + 5*d**2\/2 + d. Let o be q(-7). Solve k*t - o = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 892*m. Let o(i) = -22*i. Determine o(h(a)).\nAnswer: -19624*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 239*q - 30*q**2 + 239*q + 7*q**2 in the form o*q**3 + x*q**2 + y*q + s and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1859, 3715, 5557, 7379, 9175?\nAnswer: 10939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 49*j**2 + 522*j + 79. Calculate g(33).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let n be (60\/45)\/(2\/6). Suppose -n*u + 4 = -4. Let c(v) = -3*v**2 - 6 + v**u + 6. Determine b(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 1915553 + 291*v**2 - 291*v**2 + 3831107 - 1915554.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 + 3 + 3. Suppose -p*h + 29 - 9 = 0. Let x(w) = -w + w**2 + 5 - 4*w + 1. Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 12, -5*w + 5*d = -3 - 2. Sort 2, w, 0 in ascending order.\nAnswer: 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/(2\/4). Suppose 4*x = 3*p + 13, 4*x - 10 = -4*p + 10. Let z = x - 6. Sort -2\/3, i, z.\nAnswer: i, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2347*o - 1149*o + 24344*o + 17903*o)*((3*o + 2*o - 4*o)*(2*o + o - 4*o) - 2*o**2 + 3*o - 3*o) to the form f + m*o**2 + z*o**3 + p*o and give z.\nAnswer: -116253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**6 - 374*t**4*v - 2*t**2*v + 154*v + 10 wrt t?\nAnswer: 480*t**3 - 8976*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15520 and 28160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2)\/(6\/(-24)). Suppose -11*d + 123 = 68. Solve -4*z - 16 = g*m + 8, 0 = -4*m + d*z + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12545 is divided by 743?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 1. Let a(p) = -4*p. Let y(k) = -a(k) - 2*i(k). Let t = 2 + -1. Let s(c) = -c. Determine t*s(b) + y(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + z)*(z + 2*z - 5*z)*(-2 + 1 - 1)*(5*z - 1 - 4*z - 5).\nAnswer: -4*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136634815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose 3*q = n*q + 4. Let i = -25 + 43. Solve -3 = -a + z, -4*a + 3*z + i - q = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**6\/120 + i**5\/12 + i**4\/24 - i**3\/2 - 14*i**2 + i. Let p be x(5). Solve -11 = p*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, s: 2}. Give prob of picking 2 w.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, 103, 549, 1423, 2869, 5031?\nAnswer: 8053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyn when three letters picked without replacement from {n: 5, y: 8, f: 4}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**5 + g**2 - 5*g**5 - g**5)*(-2 - 3 + 4)*(-2 + 0 + 3).\nAnswer: 2*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20677*y**4 - 36983.\nAnswer: -82708*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**3 - 17*o - 17. Let z = 113 + -107. Let f(i) = i**3 - 2*i - 2. What is z*m(n) - 51*f(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -426297 divided by -142099\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - 5*z)*(-2*z**3 + 5*z**4 + 2*z**3)*(2 - 1 + 1).\nAnswer: -30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - 0)\/(16\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - 6*c + 2*c + (c + 3 - 3)*(4 - 6 + 1))*(7*c - 7*c + 5*c**3) as g*c**3 + z + n*c**4 + d*c + s*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 + 27*a**2 - 92*a - 1373. Calculate d(-14).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/(-9) + (-2254)\/483. Let h(g) = -80*g**3 - g**2 + g. Determine h(n).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -26. Let v = 5 + -4. Suppose i - 2*i + v = 0. Which is the third smallest value? (a) w (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-50)*-5*10. Let p(j) = -6*j**2 - 4*j + 1. Let b(v) = 4*v**2 + 2*v. Let z(u) = s*b(u) - 3*p(u). Calculate z(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*w + 26 = 0, 0 = -t + 2*w - 6*w - 18. What is the highest common divisor of 3 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -15. Let a = -8 - k. Let l be (-3)\/(21\/(-4)) + ((-23001)\/231)\/(-41). Put 2, a, l, -2 in ascending order.\nAnswer: -2, 2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3930*j - 50. Let i be z(3). What is i rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -16*d**2 - 2 - d - 3 + 20*d**2. Let y be n(5). Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.68, 0.077, 3\/5, 2\/15?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -5 (d) -4 (e) -2453\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976234784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161 - -257. Calculate the greatest common factor of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Let v be 6\/36*1*-2. Sort n, v, 3\/2 in descending order.\nAnswer: n, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -414 - -540. Suppose 31*m + p = -215. Let n = 0 - 3. Put 5, 1, n, m in decreasing order.\nAnswer: 5, 1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*q + 3, 437*q = 433*q + 5*o - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:25 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 12*z**2 - 13*z - 91. Calculate m(-8).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1915129\/3 - -638505. Factor -1475\/6*b**3 - 315*b**2 - l*b - 52\/3 + 125\/6*b**4.\nAnswer: (b - 13)*(5*b + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1536246512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/(-20))\/(2\/(-225)). Let m = n - 20. List the prime factors of m.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**11))**(6\/11)\/(u\/(u*u**(-9)))**(-13) assuming u is positive.\nAnswer: u**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015655841 to five dps.\nAnswer: 0.01566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 42 = 54 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36237\/5 + -7202. Suppose 4*b - 91 - 88 = -5*h, 3*b - 4*h - 142 = 0. Is s greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7))**(22\/9) assuming j is positive.\nAnswer: j**(-22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.88 + -1.08. Let z = -1.2 + 0.2. Which is the closest to -0.2? (a) 0.2 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 146 = -5*l, -439*l = -438*l - b - 22. Solve -l*s = -s - 125 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:19 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*r*y**3 + 148*r - 579*y**3 wrt r?\nAnswer: -5*y**3 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -3\/7, -24, 0.2, -0.0157?\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5662324.\nAnswer: 2, 23, 61547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**6\/9 - 32*h**5\/15 - 155*h**4\/6 - 340*h**3\/9 + 704*h**2\/3 + 1472*h\/3 - 899. Determine p so that b(p) = 0.\nAnswer: -4, -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:20 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8519753 + -0.1581007.\nAnswer: 8519752.8418993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 12*y - 4. Let p be a(-7). Suppose 0 = 14*m - p*m - 52. What is the second derivative of m*i + i**5 - 4*i**5 + i**5 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-7)\/((-7)\/4)*39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.5 and -7.\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/2, -296.3, -0.1.\nAnswer: -296.3, -1\/2, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 40 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 70 = 12*c + 3*m, -c - 9 = 4*m. Solve 2*f = -w + c, 3*w + f - 1 - 17 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -15. Let a be 4460\/18 + j\/(-18). Suppose -4*n + 4*u + a = 0, -n - 2*u + 62 = -u. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 1, l: 4, a: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42285324.\nAnswer: 2, 3, 17, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4257.3.\nAnswer: 21286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/3)*q*((q\/(q\/q**(-5\/4)))\/q)\/q)**(2\/81)*((q\/(q\/(q**(-1\/3)*q)))\/(q\/(q*q**2)))\/(q**(5\/4)\/(q*q\/(q\/q**5*q))) assuming q is positive.\nAnswer: q**(6223\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*s - 500, -4*r = -4*s - 0*s - 500. Suppose -3*z = -4*n - r, 3*z - 4*n = n + 121. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose 0 = j - h + 5, 2*j - j - 3*h + 15 = t. Let k(m) = m**2 + 5*m + 14. Let l(s) = -s**2 - 4*s - 13. Let x(a) = 5*k(a) + 6*l(a). Give x(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1086684 divided by -1\nAnswer: 1086684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/(w*w**(-1)))\/w*w)**(3\/10)*((w**(-2\/13)*w)\/w)**(-20))**15)**(-29\/4) assuming w is positive.\nAnswer: w**(-20793\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 59. Let y(t) be the first derivative of -3\/2*t**2 - 1 + 0*t**s + 0*t - 1\/5*t**5 + 0*t**4. What is the second derivative of y(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28107175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*j**2 - 64*j**2 + 136*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34102 (base 5) in base 7?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffooofff. What is prob of picking 2 f and 1 o?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2152 + -0.00395.\nAnswer: -2152.00395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81188 + 40162 = 2427*j for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142.109 + -142. Let p = -6.25054 + 6.358. Let f = p - d. Round f to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*5 - sqrt(171) - (sqrt(171) + sqrt(171)*-1*1))\/(sqrt(108)\/(sqrt(24)\/sqrt(2))*2)*4.\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297448 is divided by 2860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5.5, -0.25, 1\/3, -1\/2, -1 in ascending order.\nAnswer: -5.5, -4, -1, -1\/2, -0.25, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/1320304 and -49\/3222?\nAnswer: 11882736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18994\/31 greater than 612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/250 and 8\/475?\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**2\/2 - 17*a - 7. Let o be z(-8). What is the third derivative of -11*l**2 + 6*l**4 + l - l + o*l**4 wrt l?\nAnswer: 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -0.18. Suppose -16*r - 80 = -11*r. Let f = -50\/3 - r. Is i >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1. Let p = 2 - 6. Let y(i) = 5*i + 5. Suppose -3*w = -14 + 8. Suppose w = -6*t - 4. What is p*n(d) + t*y(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28299136*i**3 - 14149570*i**3 - 14149579*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*i = -400*i - 2833 - 1652 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225.9 - 225.7. Let r = 0.2 - 0. Which is the closest to r? (a) 5 (b) d (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707 = -171*x - 339 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)\/r)\/(r**(-3)*r)*r**(1\/7)*r**6\/r*(r**(-2\/3)*r**(-1\/9))**12 assuming r is positive.\nAnswer: r**(-272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(325)*1*-3 - sqrt(325) - sqrt(325) - sqrt(325))**2 + 5.\nAnswer: -46795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/15)*o)\/o)\/((o*o**(2\/11)\/o*o*o)\/o)*(o**0)**(-4\/19)*(o\/o**(-5)*o*o)\/(o*o**(1\/2)\/o)*o**(-1\/5)\/(o*(o*o\/o**3*o*o)\/o) assuming o is positive.\nAnswer: o**(1733\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcxcccccccxccxccc. What is prob of picking 1 x and 1 c?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -786*n**3 - 2. Let j be g(-3). Suppose -3*o + j = a + 3*a, 3*a - o - 15928 = 0. Let v = a + -1708. Round v to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-8.2911\nAnswer: -0.746199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - m - 2)*(-16*m - 10*m + 89*m) to r*m + v + y*m**2 and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 130*n + 126*n + 130*n - 375*n in the form q + u*n and give q.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -32. Suppose 7*q - q + 6 = s. Let j = -0.3 - 0. What is the nearest to 1\/4 in q, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -300, -320, -340?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 21*z**5 - 18612*z**4 + 60975*z**3 - 42384*z**2 = 0.\nAnswer: 0, 1, 16\/7, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1522*-2107\nAnswer: -3206854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 - 214. Let k be z\/98*(-11 + 1 + 3). Sort 1, k, -2.\nAnswer: -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359462, 718626, 1077792, 1436960?\nAnswer: 1796130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 12*k**2 - 26*k + 38. Let c be y(5). What is the derivative of 1101*u**2 - 15*u**4 - 146 + 2*u**4 - c - 1110*u**2 wrt u?\nAnswer: -52*u**3 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -730954529.1.\nAnswer: -730954529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 437 - 296. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -779.7663 and -13.\nAnswer: -792.7663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1394 and 884.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4 - 28. Suppose 20 = v*f - 7*f. Let -12*z + 2*z**2 + 16*z - 6*z - f = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61759, 249625, 562735, 1001089, 1564687, 2253529, 3067615?\n\"Answer: 62622*f**2 - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/226 and -45\/2.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhtthhththhhthyyllh. Give prob of sequence tyt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/102)\/(16\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2036\nAnswer: 1\/2036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*16\/(-4) - -19. What is the derivative of 23 - v*f**2 - 3*f - f + 4*f wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 2.665?\nAnswer: 2.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(29 - 28) + -2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(3 + 0 + sqrt(72)) - (-5*(-2*sqrt(72) - sqrt(72)) + sqrt(72))*1*2)**2.\nAnswer: -8640*sqrt(2) + 30096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 147612680 rounded to the nearest one hundred thousand?\nAnswer: 147600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w + 31*w - 47*w + 59*w.\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115976999*k - 300974654 wrt k.\nAnswer: -115976999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 24*y**3 - 9*y**3 + 65*y - 6*y**3 - 10*y**3 - 2 in the form c + m*y**2 + i*y**3 + o*y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (346\/(-36))\/((-2)\/(-51)). Let i = j + 246. Calculate the common denominator of 2\/(118\/(-206) + 1) and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855.45 times 1?\nAnswer: -1855.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + ((-1 - -3) + (13 - (-5 + 54)) - 6)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 18010*v**2 - v**3 - 19485*v**2.\nAnswer: -v**3 - 1475*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -82971, -331896, -746773, -1327602, -2074383, -2987116, -4065801?\n\"Answer: -82976*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -566. What is the least common multiple of x and 16?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 2*u**3 - 583*u + 1535*u**2 - 1535*u**2 + 583*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -6)\/(28431\/287469)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 9, -356*n - 360*n - 2*f = -717*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 160 = -21*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 41 - 6. What are the prime factors of (40\/i)\/(2\/7) - -2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310990 and 1096.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31759 (b) -2 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.23 and 55.\nAnswer: 56.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -297\/521420?\nAnswer: -297\/521420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1780429 and -21.1?\nAnswer: 1780450.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 22. Solve -2*w + 5*w = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (66 + (-76 - -18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1244927 = 4*t - 1555083, -t - 2*i + 699996 = 0. What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**3 + 1\/20*j**5 + 15*j - 29\/2*j**2 + 0 + 0*j**4. What is the derivative of i(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 28*w + 16*w + 11*w = 9 + 5, 0 = 3*w + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 30*b + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 759*j + 8837. Give z(-391).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2448 and -29\/10157568.\nAnswer: 30472704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 348440 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.01 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1824843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.16564 months to decades.\nAnswer: 2.268047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321 + 441. Calculate the highest common divisor of 105 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525860864?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 9*g + 6. Let t be v(6). Let y = t - -28. Suppose -3*b = -26 - y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(4\/7)*z*z)*z**(-2))**(7\/9)*((z\/((((z\/(z*z**(-2\/9)*z))\/z)\/z*z)\/z))\/(z\/z**(-3\/7)*z))\/(z**(-6)\/(z*z\/((z**(3\/4)*z)\/z))) assuming z is positive.\nAnswer: z**(1271\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 216*v - 10230. Calculate d(68).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {d: 1, e: 2, w: 3, k: 8, z: 4, i: 2}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 + 8 - 15) + 295 + -247\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -236, -703, -1402, -2333?\nAnswer: -3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/25)\/((-1)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 739 + 764 = 0. Let v(x) = x - 1. Let b(p) = p**2 + 8*p + 4. Let a(u) = b(u) - 2*v(u). Give a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 50 - 9 + 0 = -4*f + 25, -7*o - 19 = -2*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 27 + -62 + 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:53 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.077987273 rounded to 3 dps?\nAnswer: -3.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 22*(-45)\/(-165) + 4 + 1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 27013.37 times -12?\nAnswer: -324160.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 95684*j**3 + 287067*j**2 - 574114*j - 765496 = 0.\nAnswer: -4, -1, 2, 95687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 49 = -28. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*k**2 + 1 + 14*k**2 + 36*k**3 - 14*k**2 + 20*k**2 wrt k?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ad68 (base 15) to base 16.\nAnswer: 15566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 684442173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13530*p**2 - 18476*p wrt p?\nAnswer: -27060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7*g + 5*g + 15 = -0*g - 7, -6*s + 3*g = 132 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*c + 12, 0 = -12*y + 15*y + 8*c + 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**44\/b*b)\/(b**(-37)*b)*(b\/(b*b\/(b\/b**(8\/9)*b)))\/b*b*b\/(b**(-35)\/b) assuming b is positive.\nAnswer: b**(1054\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12864, 25581, 38298, 51015, 63732?\nAnswer: 76449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207, -2406, -3601, -4792?\nAnswer: -5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 - 237 = -5*f. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 8*a - 49 + 50, -9 = 8*i - 5*i + 2*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7 - 839307685098?\nAnswer: -839307685114.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 12:19 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 + 10*n + 11. Let m be j(-2). Let y(s) = -s**3 - 6*s**2 - 7*s + 1. What is y(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(1573) + -2 + -4 + -3 + (sqrt(1573)*1 + sqrt(1573))**2 + -2)*6.\nAnswer: 330*sqrt(13) + 188400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 2*a - 68 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*r = 18, 0*r = 5*p - r + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 18. Let m(t) = -t**3 + 7*t**2 - 7*t. Let j be m(d). Let x be (81\/(-24))\/(j\/(-8)). Which is greater: -4 or x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*f**4*h*p + 26*f**4 + f**3*p**2 + 2*f**2*h*p**2 + f**2*h - 18*f*p**2 - 156*h*p**2 wrt f?\nAnswer: 504*f*h*p + 624*f + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2285 + -2296 + (-18 - (0 - 1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 12*p - 8. Let w be q(12). Let g(j) = 5*j + 5. Let x(c) = 11*c + 9. Let v(i) = -9*g(i) + 4*x(i). Let r be v(w). Is 0 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.82, 0.3, -1\/6, 12 in decreasing order.\nAnswer: 12, 0.82, 0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 245\/588*-3*(-2)\/((-8)\/2)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puuk when four letters picked without replacement from {u: 5, k: 1, p: 2, l: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -83922 (b) 1\/3 (c) 0 (d) 3\/8 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 1269 + 1293 = -2*i, -j - i = -2 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488582656 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 211, -0.2, -0.5 in decreasing order.\nAnswer: 211, -0.2, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 14*j - 3. Let o = -463 - -477. Let t be r(o). Let q(u) = -u**2 - 4*u. Calculate q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 10*o**2 + 4. Let n be p(10). Suppose n*r - 2 - 2 = 0. Is r\/2 + 11812\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 167, 498, 1137, 2186, 3747, 5922?\nAnswer: 8813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.15 + -0.35. Let n = 0 - r. Round n to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4843 - -4836.9. Which is the fourth smallest value? (a) 1.1 (b) p (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3512, -14331, -32348, -57557, -89952, -129527, -176276?\n\"Answer: w**3 - 3605*w**2 - 11*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200 - -202. Suppose 91 = -b*i + 99. Solve p + i = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 41438\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-2)\/3)\/((-20)\/210)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944 divided by 9.\nAnswer: 944\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -46, 1, 3, 22, 2, -1.\nAnswer: -46, -1, 1, 2, 3, 22, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(18))**2 + (sqrt(32)*-1)**2 - (sqrt(128) - (0 + (sqrt(128) + -4)**2) - sqrt(128)))*-6.\nAnswer: -1158 + 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 u when three letters picked without replacement from {x: 2, u: 3, y: 13}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -31. Suppose a = 6*d - 71 - 1075. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*i*j**3 + d**3*i - d**2*i*j**2 + 7*d*i**2*j**2 + 278*i**2*j**3 - 21*i**2*j**2 + 14*j**4 wrt j?\nAnswer: 6*d**3*i + 1668*i**2 + 336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 10:16 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1939*o - 8957. What is r(-6)?\nAnswer: 2677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/2275 - 229\/40950. Let n be (-3 - 0)*(-1)\/1. Suppose h + 2 = n*h. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -0.1, -44, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/68446930 and -131\/4026290.\nAnswer: 68446930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 9087637?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*s - 30, 13 - 68 + 168 = 49*h - s - 187 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 566*(-1)\/141 - -4. Let w = 296\/987 + l. Let k = -2514 + 2517. Which is the second smallest value? (a) w (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let s(y) = -62*y + 1. Let p(c) = -s(c) + 3*v(c). Let r be p(1). Let j = r - -28. List the prime factors of j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*o**3 - 229*o**3 - 2 - 300*o**3.\nAnswer: -946*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -194 + -89a3?\nAnswer: -8b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 1. Let s(r) = r**3 - r**2 + 1. Let g(i) = 16*i**3 - 10*i**2 - 2*i + 6. Let k(c) = g(c) - 12*s(c). What is -k(x) + 6*l(x)?\nAnswer: 2*x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 0.5. Suppose 5*l - 2*n - 41 = -22, 5*l + 2*n - 11 = 0. What is the closest to w in 0.1, l, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12) + (-182)\/(-21) + -8. Factor f + 3*h**4 + 3\/2*h**2 + 0*h - 15\/4*h**3 - 3\/4*h**5.\nAnswer: -3*h**2*(h - 2)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1695*o + 13. Let d be n(9). Suppose 0 = 32*t - 28*t - d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -103?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -495058 take away 0.3?\nAnswer: -495058.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 39*u + 207. Calculate a(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11889 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -704087100 rounded to the nearest 100000?\nAnswer: -704100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -841432578080 + 75.\nAnswer: -841432578005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c - 0. Let b be (-1)\/c - 2\/(-6). Let r = -144 + 1011\/7. Is r at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -87. Suppose -15 = 3*l, -l = x*p - 0*p - 1219. Suppose -2*h - 10 = -p. Is h a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*x**3 - x**3 + 48*x**3)*(3*x + 3*x + 0*x).\nAnswer: 558*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/4)\/s)*s)**2\/(s**1)**(4\/7) assuming s is positive.\nAnswer: s**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3939 or 1354905\/344?\nAnswer: 3939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 45, 1, -2, -4, 4 in increasing order.\nAnswer: -4, -2, 1, 4, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-5 - -12) - 2 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/197856 and 5\/183096.\nAnswer: 503147808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 704 - 704.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 10*p - 24. Let l be q(12). Suppose l*y + 224 = 2*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**2 + 6*a**2 - 3*a**2 + 101*a**2 - 61*a**2 - 85*a**2 + (0*a - 2*a**2 + 0*a)*(-4 + 5 - 3) - 3*a**2 - 3*a**2 + 4*a**2.\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 68890932 and -0.9.\nAnswer: 68890931.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-29)\/5) + -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/48*((-624)\/40)\/13*120\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004385 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -77, -89, -93, -77, -29, 63?\n\"Answer: 2*g**3 - 8*g**2 - 2*g - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 602072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2319 times 5087\nAnswer: -1179.6753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*g + g. What is the common denominator of -89*(-1)\/g + -2 and -51\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/36036 and -25\/7056.\nAnswer: 1009008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572889129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:39 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2345140 = -204*b + 155*b. What are the prime factors of b?\nAnswer: 2, 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880120207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17710667 + -1?\nAnswer: -17710670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:16 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*h**2 + 8170 - 19*h**2 - 8172.\nAnswer: -136*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425065 (base 8) to base 15.\nAnswer: 2c087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2573*r + 4416. What is the ten thousands digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)*-1 - sqrt(152)) + sqrt(152) - (sqrt(152) + (2*(sqrt(152) + sqrt(152)*-1) - sqrt(152)) + sqrt(152) + sqrt(152)))\/(5*sqrt(200)*2) + 0.\nAnswer: -sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*r - 1)*(0 - 1 + 3) + 2*r - 5 + 5)*(3*r**2 - 2*r**2 + 0*r**2)*(-4 + 3 + 2).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let d = 6\/41 + 52\/205. Is d at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23096048 + 23096048 - 303*h**2 + 1122*h - 4*h**3 wrt h?\nAnswer: -24*h - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126.5 + -126. Let q be 78\/36 + (-1)\/6. Put q, k, 0.1 in decreasing order.\nAnswer: q, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 + 2*r**2 - 1. Suppose n + 2*n - 11 = -2*u, -n = 2*u - 5. Suppose -5*c - 2 = n. Give b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/(6\/15). Suppose -w*q - q = -45. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34256 (base 7) to base 8.\nAnswer: 21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89928?\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 1261?\nAnswer: -7\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11220 or -9703?\nAnswer: -11220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -107189702.\nAnswer: 107189706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 740 or 753?\nAnswer: 740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 1, 3 in increasing order.\nAnswer: -9, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w - 2*w + 29*w + 1 - 11*w.\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/120 + 101*x**5\/60 + 205*x**4\/24 + 103*x**3\/6 - 1113*x**2 - 3. Find s such that l(s) = 0.\nAnswer: -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.82993ml in litres?\nAnswer: 0.00882993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.391 and -7482?\nAnswer: -10407.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (-4)\/(-7 + 3). Suppose n*f - f - b = 16, -16 = -4*f - 3*b. What is the derivative of 7 + 3 + 9 - 3*p**f - 20 wrt p?\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 4. Let y(s) = -6*s + 6. Let w(h) be the first derivative of -h**2 + 45*h - 25. Let p be w(19). Give p*j(q) + 5*y(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-1863))\/(2\/4). Let y = a - -428\/1449. Sort -2\/5, y, 0.08 in increasing order.\nAnswer: -2\/5, 0.08, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**3 - 8*q**3 + 5*q**4 + (-54 + 9 + 23 + 4*q)*(4*q**3 - 6*q**3 + q**3).\nAnswer: q**4 + 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*c = -17884, 2*v + c - 22741 + 4854 = 0. Does 52 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/14)\/(13\/910). Suppose 3*i - 2*i - 82 = 2*n, 0 = -4*n - 2*i - k. Let g = -27 - n. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 7 - 6*i**2 - 2 in the form g*i**2 + w*i + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -240*k**3 + 2*k**2 + k - 3. Let t be l(1). Round t to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2. Let z(s) = 311150*s. Give w(z(y)).\nAnswer: 677700257500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j + 84*j - 52 = 0. Calculate the greatest common factor of j and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 48. Let i = 15.9 + -17. Let w = -0.7 - i. What is the third biggest value in r, 4, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -116*n**3\/7 - 42696*n**2\/7 + 4277456*n\/7 + 295200\/7 = 0.\nAnswer: -450, -2\/29, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065727 rounded to four decimal places?\nAnswer: 0.0657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-34)\/8)\/17)\/(2\/(-204)) and -74\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*v**3 + 1536*v**2 + 18*v + 2399654 wrt v.\nAnswer: 36*v**2 + 3072*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 23 + 48 + (5 - 3 - 4)*(-1 - 1 + 0) + (-1 - 3 + 0)*(-5 + 2 + 1))*(-7*c + 2*c + 3*c).\nAnswer: 58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 24*r. Calculate m(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -71, -76, -77, -74, -67, -56?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.8. Let w be (-366)\/(-260)*1\/6. Let k = 1\/65 + w. Sort 0.4, p, k.\nAnswer: k, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3 (b) -2\/5 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((37 + -36)*(-39)\/9)\/(1\/(-8493)). What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, p: 6, n: 4}. Give prob of picking 1 n and 2 p.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.159\nAnswer: 0.01431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(1\/2 + -1 + 1). What is the nearest to 0.2 in 7\/3, 2, 4, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**2 + 2*r - 1. Calculate the smallest common multiple of -1 + (217\/5 - 102\/255) and d(1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16972223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lclu when four letters picked without replacement from {u: 1, x: 1, l: 2, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361*w**2 - 27*w**3 - 244*w**2 - 26*w**3 + 277*w**2 + 55*w**3 to k + s*w + n*w**3 + c*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(1152) + sqrt(1152) + sqrt(1152))*5 - sqrt(1152))\/((sqrt(28) - (sqrt(252) - (sqrt(252)*-1 + sqrt(252)) - sqrt(252) - sqrt(252)))\/sqrt(7)).\nAnswer: -5 + 57*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 6300 = -18*t. Suppose -5*z + 15*z = t. What is the highest common factor of z and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.62 + -1.71. What is i rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 4*n + 3. Let l be h(-6). Suppose -i = -2*i + l. What is the highest common factor of i and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1633683 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27188714263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 21499, 15, -4, -5, 3 in increasing order.\nAnswer: -8, -5, -4, 3, 15, 21499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1121214 millennia?\nAnswer: 112.1214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(150)*-1 + sqrt(150)) + sqrt(150))\/sqrt(5))\/(-5*sqrt(120)\/sqrt(3)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 3*c**2 - 1. Calculate the remainder when 102 is divided by q(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**2 + 3*n - 15. Let i(u) = -4*u**2 + 2*u - 7. Let d = 4 - 7. Let x(k) = d*t(k) + 7*i(k). Let j be 460\/140 - 2\/7. What is x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8395006 millilitres?\nAnswer: 0.0008395006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n - 716. Calculate y(-60).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009921 rounded to 6 dps?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 1a7941?\nAnswer: 1a7940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/12 + (-22)\/(-4). Suppose -j*c - 7 + 17 = 0. Let x = c - 1. Solve -2*v - x + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**7\/7 + 5*k**4\/12 - 12*k. What is the third derivative of g(l) wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23392093 to the nearest integer?\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -2*w + 46, 38*w - 41*w - 3*q = -27. Solve w*g = -4*d + g + 14, 12 = 5*d + 4*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:45 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(405) + 5 + -5 + sqrt(405)*-1)**2.\nAnswer: 144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215122 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 655\/4 - 164. Which is the closest to 0? (a) -166 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -439*w + 453*w - 17766. What are the prime factors of w?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1*4 + sqrt(2) + (sqrt(2) - sqrt(2)*3) + 5)**2.\nAnswer: -50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12268, -24844, -37734, -50938, -64456?\n\"Answer: -157*c**2 - 12105*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**3 - 836*l**3 + 346959*l**2 - 346960*l**2.\nAnswer: -818*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(75\/(-45)))\/(3\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from bablbbbbbalballabbll?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 7 = -138. Let t(x) = x**2 + x. Let d(j) = -3*j**2 - 7*j + 9. What is i*t(q) - d(q)?\nAnswer: -2*q**2 + 2*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-87)\/(-58))\/((-20)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 157. Calculate the highest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let j(z) = 66907*z. Determine h(j(w)).\nAnswer: 8953093298*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*29135.11.\nAnswer: -1456.7555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, r: 8, e: 5}. Give prob of sequence me.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119497787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.4 minus 0.145?\nAnswer: -274.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45575, -3, 5, -0.32 in increasing order.\nAnswer: -3, -0.32, -2\/45575, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194130?\nAnswer: 2, 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -26, -37, -62, -107, -178, -281?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.8 in 0, -0.125339, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -22*w**2. Suppose -8 = 5*i - 18. Suppose 2*s - 214 = -4*t, 251 = 3*s + i*t - 74. Let g(k) = -s*k - 116*k + 226*k. Determine g(z(u)).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/270 and -187\/14742?\nAnswer: 73710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + f - 699, 11*r + 2*f = 6*r + 698. Let x = -38 + 73. Calculate the highest common factor of r and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 1. Let v be n(0). Let i = 1 + v. Let u(j) = j**3 - 2*j**2 + 4*j - 3. What is the units digit of u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38222?\nAnswer: 2, 29, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -34. Let j(k) = 4*k**3 - k**2. Let a(u) = -5*u**3 + 2*u**2 + u. What is i*a(d) - 3*j(d)?\nAnswer: -2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 4*o - 3. Calculate the remainder when (-18 + 15)*(-182)\/42 is divided by n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.08 + 85.03. Which is the closest to 3? (a) 3 (b) 0.06 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-334)\/501*75\/40)\/2.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. What is the least common multiple of 18 and g(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 149?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25881.5 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-296)\/(-12)*39\/2. Let u = -1790 + 1803. What is the highest common divisor of u and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 - 142*v - 82. What is a(-17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306 - -310. Suppose -5*c = -y*b + 48 - 259, 4*b = -16. What is the highest common divisor of 143 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 40 and -1748102.\nAnswer: -1748062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-55052447)\/396 - (-6)\/54. Let y = i + 139020. Calculate the common denominator of 97\/12 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 1. Let v(g) = -g**2 + 10*g + 3. Let o be v(10). Let p be (-8 - -2)*(-2)\/o. Give f(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(93\/(-24)) - (-5 + 93\/(-27))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/30)\/(2\/(-63)). Let m = 3 - b. What is the common denominator of m and -70\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/2 - t**2 + t + 3. What are the prime factors of h(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -23211301123?\nAnswer: -23211301121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.2 - 32. Sort -0.5, -3, t in descending order.\nAnswer: t, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-5 - 9) + (7 - -23) + -4 + 1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4471112921 to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 22*p - 104, 3*p - 5843 = -4*u - 5799 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a**2 - 84*a - 22. Give i(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1021582 and -123\/14470?\nAnswer: 5107910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*q**2 + 14 - 8*q**2 - 3*q - 21*q**2 - 11 in the form v*q**2 + t + z*q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -27*a + 26*a - 5, 2*a - 3*j = -15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -47, -51, -55, -59?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-30)\/(-27)). Suppose -4*i = -6*i - 8. What is the nearest to l in 2, 4, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 163 = -337. Let r = l + 175. Find the third derivative of -6*j**2 + 8*j**5 + r*j - 34*j - 41*j wrt j.\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-2*c + 2*c - 2*c) + (c + c + 0*c)*(-1 + 1 + 2) + 12*c - 26*c + 22*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -145.3. Which is the third biggest value? (a) 1 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 550 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/14 and -24\/14260897?\nAnswer: 28521794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238350.\nAnswer: 2, 3, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*j**2 - 610 + 307 + 301.\nAnswer: 244*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -17*p**3 + p**2 - 4*p - 4. Let d = -58 - -56. Let v be s(d). Suppose -11*n = -3*n - v. Calculate the smallest common multiple of n and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-6 - (5 + -7)) + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 18*i**2 - 141*i**2 - 6 in the form u*i + d + q*i**2 and give q.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m*(m\/(m\/((m*m**(-6))\/m*m*m)))\/m*m*m)\/m)\/m**(-2\/21)*(m*m**(-3)*m)**(-32) assuming m is positive.\nAnswer: m**(653\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 218*r + 1307. Let j be p(-6). Let m(g) = 6*g**2 + 4*g + 4. Give m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 27*c - 2411. Let v be x(86). Are -1172\/13 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -747.405.\nAnswer: 149.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 8. List the prime factors of a(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 - 7. Let u(i) = i**2 - i. Let q(b) = 5*u(b) - w(b). Let o(h) = -5*h**3 - 20*h**2 + 3*h + 6. Let a be o(-4). Give q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 - 29*i + 5. Let b(u) = -u**2 - 7*u + 1. Let x(g) = 9*b(g) - 2*l(g). Let s be x(5). Sort 5, s, 1 in ascending order.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 27b23?\nAnswer: -27b2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 34 = 4*d, -b = -0*b - 3*d - 8. Let r = b + 3. Let t(w) = -28*w + 5. Let k be t(r). What is the greatest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -40. Suppose -9*f + 4*f = -v. Let s(x) = -x**2 + x. Let d(o) be the second derivative of o**4\/6 - 2*o**3\/3 - 2*o. Calculate f*s(r) + d(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 48. Let x = a + -16. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 + -49.\nAnswer: -48.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3578080 and 111815.\nAnswer: 3578080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-20)\/3*(-66)\/88*-2).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3169\/7*w**2 + 470\/7*w**3 + 9024\/7*w + 25\/7*w**4 + 9216\/7.\nAnswer: (w + 3)**2*(5*w + 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1 (b) 0.03 (c) 17 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.561 times -0.008?\nAnswer: 0.092488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8086298?\nAnswer: 2, 11, 367559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -667 + 782. Solve -8*s + 31*s = c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311206583?\nAnswer: 23, 619, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1326806*w**3 + 1806*w**2 - 3*w + 12?\nAnswer: -7960836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2476*c**4 + 19*c**2 + 98*c. Let w(y) = -7416*y**4 - 57*y**2 - 293*y. Let x(o) = 11*k(o) + 4*w(o). Find the third derivative of x(q) wrt q.\nAnswer: -58272*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31876*k**2*m**2*o - 3*k**2*m**2 - 2*k**2*o - 1028*k*m**2*o + 3*k*m*o + 4*k*m - 71*m*o + 1 wrt k?\nAnswer: -63752*m**2*o - 6*m**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, 1 j, and 1 q when four letters picked without replacement from {p: 1, j: 1, n: 2, q: 2, w: 2, x: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + 53*m**3\/2 + 6*m**2 - 310*m - 424.\nAnswer: -(m - 53)*(m - 4)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133.927 - 134. Let c = i + 11.873. Let p = -11.851 + c. What is p rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 7:18 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3520, 6069, 10306, 16225, 23820, 33085, 44014, 56601?\nAnswer: 70840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(2*g + 3*g - 2*g)*(18 + 31 - 4).\nAnswer: -270*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 196641*u - 196643*u + 2*u**2 + 48*u**4 - u**3 + 11 + 0 in the form h + o*u**2 + a*u**3 + s*u**4 + t*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:43 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -31) + 3 - 12\/2. Let f = -26 - -41. Solve -4*w = -n - f, 4*w - y = -0*n + 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5152*j + 5025*j + 5030*j - 20239*j + 5034*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020254442 to the power of 1\/3, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o - 2. Suppose -42 = -18*q + 30. What is the remainder when f(-3) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmuy when four letters picked without replacement from {m: 6, n: 5, u: 1, o: 1, y: 2, h: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1021 by -4.\nAnswer: 1021\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6555 + 6553. What is the closest to s in -3, -2\/9, 1\/91, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/112 and -83\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48402\/17 + 2848. Do 0 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2. Let v(g) = 57*g. Give c(v(r)).\nAnswer: 9747*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66*(-3)\/2)\/(((-3)\/13)\/((-394)\/(-2561)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 6*k - 5. Let t(j) = -3*j**2 + 5*j - 4. Let h(b) = b**2. Let q(n) = 4*h(n) + t(n). Let w(i) = 2*i - 5. Let u be w(5). Give u*s(r) - 6*q(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1082*x**3\/5 - 5428*x**2\/15 + 2134*x\/15 + 4\/5 = 0.\nAnswer: -2, -3\/541, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 65*m - 62*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2000 is divided by 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, e: 5}. Give prob of picking 2 c.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3 - 638*h**2 + 127*h - 2 wrt h.\nAnswer: 18*h - 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q - 5*o - 8633 = 51*q, -2*o + 14440 = 5*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*f + 3*f**2 - 23*f - 53*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -592 - -1223. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27202921 + 72102921. Round p to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*t - 20266*m**3 - 65*m**2*t + 2*m**2 - 3*m*t wrt m.\nAnswer: -12*t - 121596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 3\/2 (b) 0.73 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 30.99801 tonnes?\nAnswer: 30998010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3*u - 226*f**3 - 2*f**2 + 3*u + 151 wrt f?\nAnswer: 3*f**2*u - 678*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/90 - ((-24)\/84 - (-85)\/126)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 9) to base 5\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + -8 + 14 + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116715186 is divided by 518734.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/30)\/(((-36)\/675)\/(34\/(-85)))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 3*d**3 - 416*d + 416*d - d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*s + 4*h, 3*s - h + 5 = -2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 greater than -1\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231968 divided by 57992.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984191*r - 984271*r - 4160 = 0 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + x**2 + 17559 + 0*x + 11662.\nAnswer: x**2 + 29221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/602 and -49\/13612.\nAnswer: 4097212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56810*o**2*p**5 - 4*o**2*p**2 - 6*o**2*p - o*p**2 - 4*p wrt p?\nAnswer: 3408600*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20350*i**3 + 39372*i**3 + 94617*i**3.\nAnswer: 113639*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + ((-1*sqrt(55)*4)\/sqrt(11))**2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 20 = 2*n, 903 - 301 = 3*y - 4*n + 307 + 305 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10852810 is divided by 83483?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 + g + 18. Let t be l(0). Suppose 4*a + i = 7 - 3, t = -a - 5*i. Solve -9 = a*p + p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u = 8*u + 5452. Let w = 56 - 103. Let r = u - w. List the prime factors of r.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3389774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsxs when four letters picked without replacement from {y: 1, f: 2, s: 3, x: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:34 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13186571 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.954088 rounded to the nearest integer?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66580512 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 4. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -105. Is 11 a factor of (-18)\/4*y\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/(p*p*p*p**(-5\/4))*p**(3\/2)*p**(2\/11) assuming p is positive.\nAnswer: p**(-47\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zanrbznararaaqa. What is prob of picking 1 r and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let m be (-15)\/6*4\/(-5). Let t = -2 + 1.6. Sort g, t, m in increasing order.\nAnswer: t, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2)*w*w)**(13\/5)*(w\/(w**(-2\/5)\/w))\/(w\/(((w*w*w**(2\/9))\/w)\/w))*(w\/(w\/w**14*w)*w**(1\/2))**40 assuming w is positive.\nAnswer: w**(49331\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612 = 21186*f - 21135*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.921us in seconds?\nAnswer: 0.000131921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(133)\/(2*sqrt(7)))**2 + (-3 + (sqrt(19) - sqrt(76)) - (2*sqrt(19) + -1))**2.\nAnswer: 12*sqrt(19) + 407\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 24*z**3 + 19*z**2 - 185*z + 23. Is s(7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1324231034 - -10?\nAnswer: 1324231044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137374 + 189*k + 6*k**3 + 195*k - 137374 - 384*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let n be 0\/4*v\/2. Are n and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -351 * 0.116283.\nAnswer: -40.815333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2920 + 181?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 309625 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222 + 1222 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209\/4 + -52. Is c > 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k - 12. Let i be s(-6). What is the greatest common divisor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43633988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15280, -15277, -15274?\n\"Answer: 3*n - 15283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -3639*q**4\/4 + 3117*q - 1195. Differentiate x(c) wrt c.\nAnswer: -10917*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 25. Let s(p) = -p - 7. Let j(c) = 4*s(c) - y(c). Let t(b) = 1 - 2 + 2 - 3. Suppose -2*w - 3 + 13 = 0. What is w*t(o) - 3*j(o)?\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from hmlmlcmllmlclhlhl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 3. Let p be m(0). Suppose 13 + 8 = p*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2616, 5213, 7810?\nAnswer: 10407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2611 = 131*h - 1272 - 309. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8649*t - 77846. Let w be f(-9). Let a = -2 + 4. Let b(d) = -d**3 + 0 + 1 + 1 + 2*d - 4*d**a. Determine b(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 453 - 1427 = 0. Is g greater than or equal to 486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:25 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 14*d - 1 + 2 + 8.\nAnswer: 14*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88\/3 of a year?\nAnswer: 352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 36626*n - 46331899. Determine o(1265).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = 1, -2*v = -4*p - 418. Let t = p - -177. Suppose 6 = 76*f - t*f. Solve -4*r + q = -11, -q = f*r + r - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 164*n + 10192. Give l(-62).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 1. Is -3 + 327 + s + -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**(8\/11)*l**(-1)*l**(-14) assuming l is positive.\nAnswer: l**(-487\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7152*b - 32. Let i(r) = 14303*r + 63. Let y(q) = 4*i(q) + 9*m(q). Let t be y(19). Round t to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 3*a + 108, -68 = -2*q - 2*a. Let h = q + -8. Solve 2*l - 1 = 3*c - 3, 3*c - h = -2*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*m + 19, 0 = -m + 5*v - 19 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20952, 41910, 62882, 83874, 104892, 125942, 147030, 168162?\nAnswer: 189344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 3. Let k = 24 - 13. Let n(m) = 8*m + 9. Let u(q) = k*g(q) + 4*n(q). What is the derivative of u(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 27*k - 8*k)*(-4 - 5*k**2 + 4).\nAnswer: 195*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 469188337 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2736.104 - -2683. Let r = o - -53. What is r rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2363 in -4, 5, -1\/7, -21, 0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -177, -179, -181, -183, -185?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g - 28902 = -29799 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*q**3 - 71*q**3 + 320*q**3 - 102*q**3.\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b15b (base 15) to base 5.\nAnswer: -100014221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36908.21l in millilitres?\nAnswer: 36908210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (81 - 33) + (4 - 100)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 35. Let s(h) = -h**3 + 6*h**2 + 8*h - 8. Let u be s(g). Let c = 2 - u. Solve -c*p + 6 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 2*v + 2*v)*(-14*v**3 + 6*v**3 + v**3 + 3*v**3 - 4*v**3 + 2*v**3 + (-3*v - 3*v + 4*v)*(5*v**2 - 4*v**2 + 0*v**2) + 0*v - 2*v**3 + 0*v).\nAnswer: 40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from psssppppppspspcc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608022117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191.677 + -191.769861. Let l = 0.093 + x. What is l rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by -9.\nAnswer: 74\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -714455.481 rounded to the nearest one thousand?\nAnswer: -714000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 3. Let j(c) = 10*c - 7. Let x(h) = -4*j(h) - 13*u(h). Let v(g) = 6*g - 6*g**2 - 6*g + g**3. Let t be v(6). Determine x(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463798, -463792, -463786, -463780, -463774, -463768?\nAnswer: -463762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 6*t - 8. Let j be y(6). Let v(z) = -5 - 29*z**2 - 10*z - 2 + 70*z**2 - 20*z**2 - 22*z**2. Give v(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 - 59*s + 7. Calculate y(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/2, -602\/3, 1\/5 in descending order.\nAnswer: 0.4, 1\/5, -1\/2, -602\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 80*n**3 - 2*n**2 + 6*n + 5. Let s be l(5). Let m be (-16006)\/(1\/((-5)\/2)). Suppose -s = t + m. What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 30 - 9) + -11 - 41\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6903940811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 594, 178, -2232, -7632, -17018, -31386, -51732?\n\"Answer: -166*n**3 - n**2 + 749*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.8229.\nAnswer: -0.72916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 2*r - r + 4 - 4 + r + (0*r + 2*r - 3*r)*(2 + 1 - 2) - 4*r + 3*r + 0*r + r - 3*r - 2*r)*(r - 2*r - r) + 0*r**2 - 3*r**2 + 2*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 10*v - 5. Suppose 0 = -3*s - 4*c + 8, 5*s + 15*c - 28 = 12*c. What is o(s)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = 3*x. Let h(n) be the first derivative of 2*n**3\/3 + n**2\/2 + 8*n + 153. Let w(g) = 1. Determine x*w(z) + h(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from eycemdmw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - w**3 + 0*w**2)*(-212 + 1006*w - 2047*w + 216) as u*w**3 + y + v*w**4 + o*w**2 + a*w and give v.\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -50. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -425, 99, 971, 2191, 3759, 5675, 7939?\n\"Answer: 174*t**2 + 2*t - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 9 = -3*j, 0*j + 3*j - 9 = v. Let m be 2 - j*42\/45. What is the second smallest value in 0.5, 2\/3, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 3395*s + 3400 = 0?\nAnswer: -1, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1 - 10*i - 7*i - 16*i + 31*i. Calculate s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13269 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -7. Let y(u) = -u**2 + 0 + 2 - 19*u - 3. Is y(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-234 - (173 - 311)) + (-1 - -1)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6678?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*z + 4*f + 30, 0 = -5*z - f + 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 - 13\/((-26)\/(-12)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 815.4?\nAnswer: 815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -60649*f + 485181. Calculate w(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 6*v + 7. Let k be u(4). Suppose -84 = -g + 4*n - n, -2*n - 8 = 0. Let t = g + k. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -5. Let o be y\/9 + (-520)\/(-72). Suppose -o*j + 141 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, b: 4}. Give prob of sequence nbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366283, 366335, 366473, 366739, 367175?\nAnswer: 367823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-61)\/8 + 5\/(-20). Let w = 8 + l. Is w at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -239 (b) 3\/2 (c) 2 (d) 2\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let q = m - 3. Let t = -4.1 - -3.1. Which is the closest to q? (a) -1\/4 (b) t (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72*(-30)\/(-1560)*53\/1431?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/(-3885728)*-44*(-32)\/12?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 0.41. Which is the biggest value? (a) 5\/6 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -42*g**2 + g + 1. Let a = -1 + 0. Let l be t(a). Let q be 3\/(2\/(l\/(-9))). Solve 0 = q*x - 2*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2. Let b(h) = -h + 1. Let x(c) be the third derivative of c**4\/6 - c**3\/6 + 2*c**2. Let y = 68 - 67. Let s(a) = y*b(a) + x(a). Give d(s(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2331114*p**2 - 5590581*p?\nAnswer: -4662228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827268919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.5 + 54. Let j = s - -0.49999952. What is j rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 15406860.\nAnswer: 30813720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9788 divided by -4894?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 221773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1341\/235 + -52\/47. Calculate the common denominator of t and -67\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4\/4 - 9021*d**3\/4 + 18051*d**2\/4 - 9027*d\/4 = 0 for d.\nAnswer: -3009, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4168, -2, -3, -0.04, -4, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.04, -2, -3, -4, -4168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/41724 and 115\/17568.\nAnswer: 333792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 42 = -52. Let n = -16 + 13. Let o = 8 + -4. What is the second smallest value in o, x, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*y = -f, 4*y = -4*f. Suppose y = 9*t - 3*t - 1872. Calculate the greatest common factor of 39 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77558490 or -77558503?\nAnswer: -77558503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*v = 7, -v = 2*d - 2*v - 8. Suppose -j + d*w + 0 = -9, 4*j = -2*w + 8. Sort -4, j, 0.3 in increasing order.\nAnswer: -4, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645 by -2.\nAnswer: 645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*t**3*y - 505520405*t**3 + 7634417*t**2*y**2 wrt y?\nAnswer: -5*t**3 + 15268834*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*u - 43 = 0, 5*n - 5*u + 175 = 130. Let f be 0\/(-3 - (-1 + 0)). Solve -2*p - n*p = f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:39 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/14, 2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-291*n - 214*n + 18*n)*(5*n - 5*n + 4*n**3) + 0*n**4 - n**4 + 0*n**4 to d*n + v*n**4 + l + y*n**3 + o*n**2 and give v.\nAnswer: -1949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13868 - 7430. What is the highest common factor of 148 and d?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1053\/38 + -186\/19. Calculate the common denominator of p and 102\/(-56)*(-4)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 - (4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 16284?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004735 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -1, 4, 2, 5 in descending order.\nAnswer: 44, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*c**4 + 1 - 2*c + 12*c**4 - c**3 + 30*c**4 to the form q*c**3 + r*c + x + y*c**4 + s*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + 4*h)*(-350*h**2 + 53751 - 53753 + 21*h**2).\nAnswer: -329*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 8690502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 7. Let g be k(0). Let l be (-8)\/(-28) - 12\/g. Which is smaller: l or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*20*10\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413 and 40875436?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u - 6. Let k be n(-12). Calculate the highest common factor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.76 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1103 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2134 and (1\/9)\/(10 - (9\/(-198) - -10)).\nAnswer: 19206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-11 - -16 - (1 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272 - -467. What is q rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 - 1 = 0. Let a be 4 - ((-3 - j) + 3). Suppose -v = -a*s - 38, -3 = 5*s + 7. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-663)\/54)\/13 + (-8 - (-38)\/4).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -16*j. Let v(t) = 0 + t**3 + 17*t + 34*t**2 - 2*t**3 - 7 - 41*t**2. Let r be v(-9). Suppose 0 = 8*y - r - 6. What is u(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 64 - 68 = 4*f, 3*c - 111 = -f. Let q(k) = -24 + 2*k**2 - 3*k**2 - 15*k + 12. Let s be q(-12). What is the highest common divisor of s and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*o + 48 = 0, 26 = -2*y - 5*o - 9 - 48 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 22 - (816 + -819)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1\/3, 163, 47 in increasing order.\nAnswer: -8, 1\/3, 47, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (10 + -6) - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -84.8*1\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -20*o + 11*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.5 (c) 1 (d) -1\/8 (e) 2\/14999 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 - 2\/(0 + 1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1490 (base 11) in base 4?\nAnswer: -131322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(891) + -1 - (sqrt(891)*1 + sqrt(891) + sqrt(891))*-3)**2 - (-4*(sqrt(66) - (-1*sqrt(66) + sqrt(66) + sqrt(66))))\/sqrt(6)*5.\nAnswer: 720*sqrt(11) + 89116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48673 is divided by 572?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5398 - 3179 - 2219 - 13*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2631\/7? (a) 0.2 (b) 0.3 (c) 3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1 + 4 + -2). Let w(s) = -s**2 - 9*s - 5. Let x be w(a). Suppose d - 2*y = 1, 2*y - x = -d - 3*y. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.486179ml to litres.\nAnswer: 0.007486179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - (-61 + (49 - 12)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.648176 decades to years.\nAnswer: 96.48176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhhyhhxhzyohy. What is prob of sequence xz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(((-3)\/(-12))\/(8\/48))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + i = 5*w - 20, 2*i = 4*w - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -53. Suppose 5*j = 5*t + 4*j - 25, n = 3*t - 2*j. Let h = 13 - 7. What is the lowest common multiple of t and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110010 + 211120?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 176a6a?\nAnswer: 176a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 2. Sort 2\/17, b, -0.6 in ascending order.\nAnswer: b, -0.6, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64, -114, -166, -220, -276, -334?\n\"Answer: -f**2 - 47*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/15*(-5)\/2 + 15. Suppose -11*s = -w*s - 24. Sort 5, -3, -1, s in increasing order.\nAnswer: s, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 + 7*g**4\/12 + g**3\/6 - 4*g**2 + g. Let w be j(7). Let r(p) = 5*p - 3 + 2 + p. Determine r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*y + 51*y + 17*y)*(0 + 2 + 0) - 19 + 19 + 23*y in the form l + w*y and give w.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 14. Let z = l + 7.5. Let o = z + -0.38. What is o rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (154 - 119) + (8 - (3 - 1)) - -4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-156) + 0)*6. Suppose 5*o - o + 8 = 0. Let p be (-3)\/o*(-8)\/42. Which is the nearest to p? (a) -4 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -446\/89?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2548 + -2548.0003208. What is w rounded to six decimal places?\nAnswer: -0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 30 = -4*p. Let y be 186\/18 + 2\/p. Suppose -25 = -5*b - y. What is the remainder when 4 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-12)*1)\/(2\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, 5\/6 in ascending order.\nAnswer: -5, 0, 5\/6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1387375, 1387370, 1387363, 1387354, 1387343, 1387330?\n\"Answer: -l**2 - 2*l + 1387378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 9254.\nAnswer: 129556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 13*j + 4*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1582b7 (base 12) to base 10\nAnswer: -366763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5602920 to the nearest 10000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2375, 2\/15, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c**2. Let w(d) = 4*d. Determine p(w(m)).\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185.068 - -185. Which is the closest to -0.1? (a) l (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 167\/(-668) + (-34)\/(-200) - (-155)\/375?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 - (2 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 12*p - 9. Let l be j(-11). What is the smallest common multiple of 15*2*l\/12 and 0 + 4 - (0 + -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 7*o - 5. Let z(a) = 2*a - 2. Let p be z(-3). Let s be c(p). Suppose s*d = -5*y + 49, 5*y + 3*d - 7*d - 28 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 482*y - 80. Let z be f(1). Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77464000 to the nearest 1000000.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*n + 115, 2*c = c + 4. What is the remainder when 130 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111193421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13711 and 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 20035?\nAnswer: -20043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8653 is divided by 222?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 56 = 2*d, 5*d - 2*d + 3*p = 78. What is the remainder when 119 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dzddaazdzazzaaa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 12. Suppose 0 = -2*h + 2*x - v, h = 4*h - x - 1. Let c(d) = 1 + 2 + d**2 + 5*d**3 - 2*d**2 - 2. Calculate c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10\/11, 1, 14294?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 3*q**4 - 2*q**4 + (-q**3 + 0*q**3 + 4*q**3)*(3*q - 7*q + 2*q) + 3*q**4 + 0*q**4 - q**4.\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-12) - (-15)\/12. Solve -6*q - n*q = -40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43138785 or -43138786?\nAnswer: -43138785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/4)*i**(5\/4))\/(i*i*i\/i**(-22)*i*i**5*i) assuming i is positive.\nAnswer: i**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.1 - 131.1. Let x = -119.7 - y. Sort 2, -2, 5, x in increasing order.\nAnswer: -2, x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = d - 2*a, 5*a + 80 = 9*d - 4*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - (-19 + 45 + 100)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 171, 183, 209, 255, 327, 431, 573?\n\"Answer: m**3 + m**2 + 2*m + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-2) + 1 + 16 + 1372?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + u - 6. Let x be (u\/9*0)\/1. Suppose x = -3*m + 2*m + 3. Which is the third biggest value? (a) -2 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/24 and ((-105)\/(-84))\/(-1 + (-13)\/(-5))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.036 + 0.244. Let u = -0.48 + f. Let z = 16\/17 - 274\/255. What is the nearest to u in z, -0.3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-1)*4\/8. Suppose 4*l - n*l + 6 = 0. Let b(c) = c**2 + 5*c - 1. What is b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 11*b - m, 2*m = 5*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c\/(c\/(c**(4\/5)*c)*c)*(c**0)**27)\/((c*c\/c**(1\/3))**33)**48 assuming c is positive.\nAnswer: c**(-13191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 5. Let x(a) = 7*a + 14. Let q(g) = -g**3 - 4*g**2 + 12*g - 8. Let i be q(-6). Give i*h(v) - 3*x(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14382 by -799.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/12 + x**3 - x**2 - 2. Let a(u) be the second derivative of y(u). Let t = 7 - 12. What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-27)\/(-63)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 - t. Let u be q(2). Let l(s) = -2 + 39*s - 49*s + 36*s. What is the remainder when l(u) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 + -181. Suppose s + 0*s - 94 = 5*v, 201 = 2*s + 3*v. What is the greatest common factor of x and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 33. Let j = -8 + x. What is the second derivative of -4*k**3 + 3*k + 5*k**3 + k**j wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125566, -502347, -1130326, -2009503, -3139878?\nAnswer: -4521451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let l be 3\/p*8\/6. Let u be (l - (-27)\/(-6))*-2 + -2. Is 3\/2 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(sqrt(120)*1)\/sqrt(10))\/(sqrt(48)\/(-2*sqrt(8)) + (sqrt(6) + sqrt(18)\/sqrt(3))*-5))**2.\nAnswer: -32*sqrt(2)\/21 + 1892\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 1. Let c(f) = -6*f**2 - 11*f - 18. Let x(k) = -c(k) - 4*n(k). What is the tens digit of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7635187, -7635198, -7635215, -7635238, -7635267, -7635302?\n\"Answer: -3*n**2 - 2*n - 7635182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 47. Does 18 divide r(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d**(2\/3)\/d)*d\/d**(-3\/7)*d**(-7)\/((d\/(d\/(d*d\/(d*d**1*d)*d)))\/d*d) assuming d is positive.\nAnswer: d**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93640 is divided by 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2215341 is divided by 857?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78949.39659 + 79276.398. Let g = -327 + r. Round g to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 6. Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**2 - 20*w + 20. Let g = -25 - -39. Calculate the remainder when l(1) is divided by (-4)\/g - (-111)\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*i + 45 = -8*i, 2*m - 5*i - 21 = 0. Suppose -m*n = -n - n. Let g(u) = 2*u - 2 + 2*u**3 - 3*u - 3*u**3. Give g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27b17b (base 12) in base 2?\nAnswer: 10100001101000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1.161.\nAnswer: -3.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 30 - 15*h + 25 + 12*h + 4*h + 3*h.\nAnswer: 4*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 60979464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 1574 = 3*g, 2108 = 4*g - 4*i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787768210.\nAnswer: 2, 5, 3299, 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2052, -15518, -51292, -120276, -233372, -401482, -635508, -946352?\nAnswer: -1344916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3129, -0.1, -1221 in descending order.\nAnswer: 3129, -0.1, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p + 23. Let i be s(-4). Let c(k) = -8*k - 32. What are the prime factors of c(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291888 and 32432.\nAnswer: 291888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*l**4\/3 - 68*l**3\/3 - 53*l**2.\nAnswer: l**2*(l + 1)*(91*l - 159)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11201 - 1550 - 93 + 1311)*(0*h + 2*h - h) as a*h + s and give a.\nAnswer: -11533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2410279 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*g - 153 = 0, x + 2*g - 4 = 44. Solve 38*q = x*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -14.6, 5, -5?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*s**2 - 2*k**2 - 6*s**2 - 6*s + 14 wrt s?\nAnswer: 2*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/416504 and -23\/4224.\nAnswer: 19992192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6572 - -537. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1 - 74*u + 75*u - 1. Let w(d) = 139*d**2. What is w(j(b))?\nAnswer: 139*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sanbt. What is prob of sequence ts?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -3) + -1 - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 328*k**2 - 637*k wrt k?\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129 + 129 + 7*x**2 - 9*x**4 wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11011 + 14923. Does 187 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 42 = 2*q, -2*u + 3*q = 4*q + 21. Let b(r) = -r**2 - 14*r - 28. Let y be b(u). Sort 22, y, -5 in decreasing order.\nAnswer: 22, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 11, g: 1}. Give prob of sequence dd.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -504568.7804 to the nearest 1000.\nAnswer: -505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34392 divided by 11464?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 3 (c) -10 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + 5 + -1 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(sqrt(121) + sqrt(121) + sqrt(121)*-2 + sqrt(121)))\/(sqrt(121)\/sqrt(275)))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Let n be (1\/1)\/(r - 3). Is -3 - (50*n)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 47209?\nAnswer: 47216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*p - 1504 = 170 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {k: 1, o: 3, b: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52916 is divided by 169.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6050)\/(-1815)*4\/5*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyeyyddqjjqqjyyj. Give prob of picking 1 e and 3 j.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -0.043\nAnswer: -0.00258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 - -145. Solve 5*y + v = -2*s - 14, 3*s + 2*y + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -25. Find the first derivative of 28*b - 4*b**s - 4 - 15*b - 13*b wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3686 is divided by 821.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 7*z - 2360. What is the greatest common divisor of 531 and z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.1 + 7.2. What is the nearest to 1 in -0.3, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, 3, -5, 1 in ascending order.\nAnswer: -30, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*u + 27 + 8, 4*y - 36 = 4*u. What is the units digit of (468 + -2)*(-1)\/y*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205595 = -80*i + 67*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-22) + 1\/(44\/119144). Round j to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f + (4 - 5 + 0)*(2 - 2*f - 2) + 0*f - 2*f + 4*f + (10*f - 13*f + 4*f)*(1 + 2 - 4))*(-9*f - 8*f + 0*f).\nAnswer: -85*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 20.22725.\nAnswer: 80.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 10*y**2 + 5. Let x be f(9). Let d = 85 + x. Suppose -153 + d = -2*m. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -101075 and -101034 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1694*g + 297. What is p(-1)?\nAnswer: -1397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkkuqvqvnkqkvv. Give prob of sequence kkvu.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*x + 56 = 0, 0*x = a - 3*x - 21. Let l = -18 + a. Suppose l = i + 4 - 8. Solve 10 = i*g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/34 + 9\/17. Which is the closest to n? (a) 3 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0777 and 141696.\nAnswer: 141696.0777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1301585*p + 11 - 11.\nAnswer: 1301585*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhtth. Give prob of sequence htht.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 + 7*m**2 - 2*m - 2. Let y(x) = 20*x**3 + 34*x**2 - 11*x - 11. Let l(g) = 11*s(g) - 2*y(g). What is the third derivative of l(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 22*c**2 - 16*c + 40. Let d be y(-10). Let i = 10 - 7. Suppose i*n + 10 = 5*n. Solve -n*l + 4*x - 34 = x, -l + 4*x - 17 = d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 16403, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74950*j**2 - 374765*j + 75 = 0 for j.\nAnswer: 3\/14990, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 74 - 74 + 36*l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -239\/6. Find the common denominator of 205\/12 - 30\/(-40) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 21. Let a be u(-6). Solve 0 = -a*n - 13 - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*b**3 - 12*b - 5*b - 30*b**3 wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -504*w**5 + 4764*w**4 + 5529*w**3\/2 - 45*w**2\/2 - 222*w - 30 = 0.\nAnswer: -1\/3, -1\/4, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.396674 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 2 - 5) + -1 + 5. Solve -l*n = -3*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 19 = 5. Suppose 0 = -8*c - l*c + 56243. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39798*o**2*x**2 + 2*o**2 - 806*x - 1 wrt x?\nAnswer: 79596*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 47. Suppose n = 2*h - 6*h. Let q be ((-2)\/3)\/(2\/h). Solve 0*s = -q*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-50))\/(4\/30*1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25788650, -51577306, -77365960, -103154612, -128943262, -154731910?\n\"Answer: o**2 - 25788659*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g. Let n(i) be the third derivative of 25*i**4\/8 - 2*i**2 + 49*i. Determine n(l(c)).\nAnswer: 525*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5 - 15. Suppose 5*k + 24 = -r, 11 = -g*k + 2*r - 11. Is 10 a factor of 17\/((2 + k)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2926984*n**3 + 42 - 42 + 2926986*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13806 is divided by 354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*x, 17*t + 2*x - 12 = 18*t + 4*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2 + 3*d - 38. Let l(k) = 3*k**2 + 2*k - 1. Let x be l(-2). Let b be r(x). Calculate the remainder when 2\/8*b - (-3)\/(-6) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {w: 1, k: 7, q: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 3. Let p be o(2). Let u(d) = -4*d - 175. Let m be u(14). Let r be 42\/30*(-22)\/m. Is r at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32*368\/138?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10. Suppose 6*t + f*t = 0. Solve 2*v = -t*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 33 = 5*l - 410, 3*h + 381 = 5*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/5, 4, -16, -0.02, -1\/2.\nAnswer: -16, -2, -1\/2, -0.02, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 835 and 5559320.\nAnswer: 928406440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 97*r - 47. Suppose 0 = -4*i + 5*d + 8, 0*i + 4*i = -3*d + 40. What is the hundreds digit of v(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 42 = -5*n - k, 9 = n - k. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 33*x**2 - 77*x - 49. Let l be b(-14). Suppose 0*c = 2*c - 490. What is the highest common divisor of l and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7589 and 25.\nAnswer: 18.9725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 8*u**2 + 6*u - 4. Calculate the remainder when c(-9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495676885*q*t**4 - 307*q*t**2 + 647*q*t + 16*q + 3*t + 3 wrt t.\nAnswer: 11896245240*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -2.78. Let u = 2.3 + y. Let k = -0.12 + u. Which is the nearest to 0? (a) 4 (b) -2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -755.4.\nAnswer: 377.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 438520*h - 12018736900.\nAnswer: -4*(h - 54815)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.7 - 15. Let q be -1*1\/14*2. What is the nearest to 0.2 in m, -3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28684 is divided by 6748.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.121 + -51.121. Let l = n + 51.049. Round l to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 + 13 = -q, 5*q - 5*s = -35. What is the remainder when 23 is divided by 2\/(11\/q + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/60)\/(53\/5846430)?\nAnswer: 3, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/5, 1\/188, -2\/9, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = 10*x - 14629 - 58352. Round x to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 equal to 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8097221 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {d: 7, e: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a58 + 1952b4?\nAnswer: 19603c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2537112+-0.0146383\nAnswer: 2537111.9853617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02115118511 to four dps.\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -322*j - 1. Let g(f) = -995*f - 2. Calculate -4*g(v) + 11*n(v).\nAnswer: 438*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12*8\/(-21). Let y = 384.8662 + 0.1338. Let g = y - 384.7. Which is the second biggest value? (a) -2\/9 (b) g (c) p (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.036. Let i = -0.0337 + l. Round i to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:24 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + 56. Suppose 0 = 3*c - t - 224. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/2*(-72)\/90*-25. Let b = u - -352. Solve -5*v - 2*c = -b*v + 8, 3*v - 5*c + 22 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1057813 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*m + (-6*m + 2*m + 3*m)*(4 - 1 - 2) - 278*m + 542*m - 377*m.\nAnswer: -112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 6*l**2 + 3*l - 2. What is z(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 12*l**2 - 8*l - 9. Let a be r(11). Let j = a - -55. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20175533 to the power of 1\/2, to the nearest integer?\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**2 + 5*z + 5. Let x(k) = 16*k**2 - 8*k - 8. Suppose -6*n = 4*c - 11*n - 10, n = -3*c + 17. Determine c*x(j) + 8*p(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1666 = -11*u - 4240. Let s = -216 - u. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4 = -5*v, -55933*q + 27969*q - 2 = -27963*q + 3*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3322*n**2 - 2225*n**2 - 2321*n**2.\nAnswer: -1224*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.018, 1\/40, -6, -5?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.8. Let n = g - -0.7. Which is the second smallest value? (a) 2\/5 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(70)*3 - sqrt(70))\/sqrt(10) - (4 + sqrt(28))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6734 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3042 + 1?\nAnswer: 3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4 + 220*i**3 - 6*i**2 - 664*i - 440 = 0. What is i?\nAnswer: -110, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116305 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8188700 to the nearest integer?\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 664\/64667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.637046050485 + -0.2.\nAnswer: -1.837046050485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24008 + 299493. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) 43\/160 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030151 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1542, -6214, -13998, -24894?\n\"Answer: -1556*f**2 - 4*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 36907092?\nAnswer: -147628368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (-61 + 2 + (-35 + 10 - -52))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4411*j = 1045*j - 2836*j - 38214 - 296694 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 861?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1822 + -0.1820969. Round l to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57011 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212422 is divided by 2394?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2285*h**3 - 12*h**2 + 28*h + 15. List the prime factors of u(3).\nAnswer: 2, 3, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 152, 15 in decreasing order.\nAnswer: 152, 15, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -40. Let b(s) = -s**3 + 7*s**2 - 3*s - 2. Let j be b(4). Let m = j + -19. What is the remainder when a is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 2*z - 38*z + 6*z + 7*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 5 + 10)*((0 + u + 0)*(-3 + 2 - 5) + 0*u + 3*u - u).\nAnswer: 200*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41a47 (base 14) to base 5.\nAnswer: -20032211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13\/269, -0.3, -0.1, 1, 1\/4, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 5. Let i be u(0). What is the closest to -1\/4 in i, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1813525 is divided by 374.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422835097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267453562 to the nearest integer?\nAnswer: 16354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/20*164503\/20. Let b = -10278 - d. Calculate the common denominator of b and -107\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 21.93. Let l = w - -21.1. Let m = -1 - -3. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2978464 and 4000.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 - 1 + 1 + (508006 + 869*b**2 - 508006)*(0 + 0 - 1)*(4 - 5 + 2).\nAnswer: -871*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 - 4*d + 6. Let y(f) = -13*f**2 + 13*f - 19. Let r(w) = 17*a(w) + 6*y(w). Let o be r(1). What is the second smallest value in 1, -3, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236389?\nAnswer: 97, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.02, -2, 7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttreerooeer. Give prob of picking 2 e.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -2. Let h be 4\/14 - 5\/m. Let x = -66 - -68. Does h = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (3*(sqrt(3)*-1 + 4))**2) + (sqrt(48) + 1 + 1 + sqrt(48) - -1*(sqrt(1200) + sqrt(48))).\nAnswer: -256*sqrt(3) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*y - 5)*(y**2 - 5*y**2 - 8*y**2) + (-3 + 2 + 0)*(y**2 - 2*y**3 - y**2) - 4*y**3 + 91*y - 91*y.\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21*(-3 - -2)*1. Let d = 24 - z. Suppose y + 6*u - d = u, 4*y + 4*u = -20. What is y rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98320 - -173515. What are the prime factors of u?\nAnswer: 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((216\/24)\/((-4)\/4))\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25 - 16925\/(-675))\/((-4)\/30) and -44\/747.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*119.9.\nAnswer: 599.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27468 divided by -12?\nAnswer: -2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*q + 37 = -q, -3*t = 3*q + 54. Let y = -5 - t. Let p(w) = 16*w - 137. Calculate the remainder when y is divided by p(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 k when three letters picked without replacement from {p: 1, k: 1, e: 8, u: 2, b: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122.603088 - -122.6. What is h rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Suppose b = x + 2*y - 21, -4*x = -2*y - 90. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 36. Let k(g) = -3*g - 5 + 11 + 9 + 12. What are the prime factors of k(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4f (base 16) in base 3?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -22. Suppose 0 = -3*r - k + 36. Suppose 3*c + 3*s = 54, 5*c - 5*s - 36 = 3*c. What is the greatest common divisor of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -74.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312.5 - -318.2425. Let d = -0.106 - 5.694. Let r = d + s. Round r to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + 289?\nAnswer: 2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 99 (c) 5 (d) 10 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 71 - 33 - 61*i**3 - 5*i**2 - 37.\nAnswer: -61*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -0.038.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 10*m**2 - 21*m + 8. Let d be b(9). Let p be (-5)\/(((-2)\/10)\/((-8)\/d)). Solve 0 + 2\/11*a**3 + 2\/11*a**p + 0*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1069 (b) 4\/9 (c) 2\/19 (d) -1 (e) -3.8 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*s = 9, -k - 30 = -4*s - 42. Let n(a) be the second derivative of -1\/6*a**3 + 0*a**2 + 40*a + k. Let g(c) = c. Calculate g(n(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4.1, 1\/7, 1, -9, 2\/5, 40 in decreasing order.\nAnswer: 40, 4.1, 4, 1, 2\/5, 1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:25 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 36080*y - 36084*y = -33, -5*g + 6*y = 37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 11656?\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13\/(h*h**(-4\/9)))\/((h*(h\/(h\/((h**16\/h)\/h)))\/h)\/h*h*h*h*h*h**4) assuming h is positive.\nAnswer: h**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1.8 (b) 0.2 (c) 20 (d) 0.024 (e) 0.4 (f) 0.1 (g) 1.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.9. Let m = -4\/133 - -50\/399. Let o = 17\/42 + m. Which is the nearest to o? (a) 5 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 - 3*s - 8. Let b be g(5). Let c(v) = 2*v + 79. Let q be c(b). Which is bigger: q or 32?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8012 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 12) to base 13\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 233677 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 10*h**2 + 23*h + 21. Determine j(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -2*n + 382. Let m = -178 + n. List the prime factors of m.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -28*n**3 + 62012*n**2 + 141872*n + 35472 = 0.\nAnswer: -2, -2\/7, 2217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 1\/30*y**5 - 11*y**2 + 0*y + 1\/8*y**4 + 1\/6*y**3 + 0. Let o be k(-2). Solve 6 = 5*t + 5*a - 29, -5 = t - o*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1324 + -1394.3. Let p = n - -70. Which is the third smallest value? (a) 5\/3 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - k + 38 - 362)*(-3 + 3 + k) as f + h*k**2 + v*k and give v.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2689, 2755, 2885, 3079?\nAnswer: 3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 5*y - 36, 4*i + 1187 = 2*y + 1179 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1040163*b**4 + 615*b + 2650 wrt b?\nAnswer: 12481956*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -468*n**3 - 288*n - 1348. Differentiate g(f) with respect to f.\nAnswer: -2808*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60345 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11844)\/(-210))\/47)\/(21\/25).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1073)\/841)\/((-133)\/(-3857))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.1 less than -696899457055?\nAnswer: -696899457029.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114149, 228247, 342365, 456503, 570661, 684839?\nAnswer: 799037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 4*q + 4 = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 12. Suppose 5*k = -r*i - 10, 2*k - 15 = 5*i - 2*i. Let x = -4\/7 + 6\/35. Which is the nearest to k? (a) x (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779335277 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420974, 1683800, 3788510, 6735104, 10523582?\nAnswer: 15153944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900360 and 480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1715 - 830 = 852 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 5508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/99 and -49\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuzapka. Give prob of sequence zkay.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/7)\/((-5)\/70). Suppose i + 20 = 6*i - t, 2*i - 8 = -g*t. Solve i*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1563 greater than -1562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -700928 + 34*o**3 - 49728*o + 14752*o**4 + 50*o**3 - 14754*o**4 + 1313*o**2 + 173*o**2.\nAnswer: -2*(o - 37)**2*(o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10563953?\nAnswer: 17, 109, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykuyvkuksvkkkkekukke. Give prob of picking 1 v and 1 s.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102839*g + 4*q - 52 = -102844*g, -6*g - 2*q + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3017 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51306624?\nAnswer: 2, 3, 44537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) - (3*sqrt(672)*-4 + sqrt(672) + sqrt(672)))\/((sqrt(6) - (sqrt(6) + sqrt(24)))*6*-5)*-4)**2.\nAnswer: 13552\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1360, 3235, 6130, 10561, 17044, 26095, 38230?\nAnswer: 53965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 8*n + 1. Let z be g(6). Suppose 5*r = -5 + z. Let l = -237 - -240. Solve 2*o - 4*j = r*o - 16, 0 = 3*o + l*j - 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1286*i**2 + i - 44 wrt i?\nAnswer: -2572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 31*r - 12261006 = 36*r, -4*x + 49043986 = -r. Let q = -7089996 + x. Round q to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 - 179. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420*y + 1619*y = -6169 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -25. Let t = 52 + o. Let m = t + -25.6. Put 0.1, m, -1 in ascending order.\nAnswer: -1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 = 3*d - 566. Let z(p) = 10*p**2 - 2*p - 1. Let c(u) = u**2 - u - 1. Calculate d*z(h) - 2*c(h).\nAnswer: 8*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 120. What is the remainder when 47 is divided by (m\/(-7))\/(5\/(-35))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/31, -68, 5, -2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 - 11*u - 5. Let j(c) = -7*c**2 - 11*c - 6. Let k(g) = -3*i(g) + 2*j(g). What is the units digit of k(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87762, 176433, 265104, 353781, 442470, 531177, 619908?\nAnswer: 708669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**3\/3 + 3*n**2 + 7*n - 1. Let y(k) = -3*k**3 - k**2 - 3*k + 2. Let f be y(1). Give t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 312 - 302 + 36*y**3 + 617 as k + d*y + g*y**3 + j*y**2 and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 57.928.\nAnswer: -5.7928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -11. Suppose -4*v + 5*z = -39 + 15, -3*v + z = -r. Let s(d) = d**3 - 1. Let l be s(v). Is l at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4712 and 5404199.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4318 is divided by 131.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8822220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + ((sqrt(84)*1 + sqrt(84))*2)\/((sqrt(108) - -1*sqrt(108))\/sqrt(9) + sqrt(12))).\nAnswer: 4 + 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*466\/(-28))\/41. Let k = 9227\/30545 + -7\/745. Let r = z + k. Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -72. What is the smallest common multiple of y and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1402776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 9039.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.346 - -26.367582. What is c rounded to 4 dps?\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-10) + 19152\/1330.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 3.432.\nAnswer: 27.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-387)\/81 + 8). What is the closest to -6 in -6, -4, x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -12, -2, -58, 0.3 in ascending order.\nAnswer: -58, -12, -6, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2342312 and 1208?\nAnswer: 2342312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1225 + -1756. Let c = -276 - x. List the prime factors of c.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/289 - 28531\/2312. What is the common denominator of v and 19\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 3, c: 5}. What is prob of picking 1 u and 3 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/21)*f**(-1\/29))\/(f**(-20)\/(f*f**(-14)\/f*f)))**5 assuming f is positive.\nAnswer: f**(21500\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 371*x**2 + 2558*x - 33258. Give s(-378).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c + 2. Let k be (-36)\/(-8) - (-2)\/(-4). Let a = -3 - -17. Calculate the lowest common multiple of j(k) and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*h**4 - h**3 - 65.\nAnswer: -652*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/17 - 44*n**2\/17 - 42*n\/17.\nAnswer: -2*n*(n + 1)*(n + 21)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1221*g + 2. Let u(s) = 1222*s - 3. Give 5*h(k) + 4*u(k).\nAnswer: -1217*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 83, -15, -147, -331, -585, -927, -1375?\n\"Answer: -3*h**3 + h**2 - 80*h + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15872.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*g - 11 = 0, 4*g - 7 = u + 2*g. Sort 4, -1, u, -2 in increasing order.\nAnswer: u, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10794932.\nAnswer: 2, 17, 158749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soiokiisishikishhmk. Give prob of picking 2 i, 1 s, and 1 m.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*u - 26 + 26.\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 119 - 371. Is 4\/(84\/(-217))*d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/3972 and 149\/84.\nAnswer: 27804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -2 + (3*sqrt(1900)*-2 + sqrt(1900) + (2 + sqrt(1900) + (sqrt(1900) - -2*sqrt(1900)) - sqrt(1900)))**2 + -2).\nAnswer: -30392 + 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w + 25 - 12*w - 24 + (4 - 5 + 3)*(1 - 1 - 2*w) - w + 1 - 1.\nAnswer: -11*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8811 and 8811.\nAnswer: 8811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -7 - -9) + (0 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 1891843399.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18110791 or 18110792?\nAnswer: 18110792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -702. Suppose 4*n - p = -3*z, 3*z + 175 - 877 = -2*n. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4500*x**2 + 3*x + 1216.\nAnswer: 9000*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1081 - -1078. Let m(o) = o**2 + 3*o - 4. Let h be m(-4). Let d = 0 - h. Is d greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - 5 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*((0 + 1 - 3)*(-1 + 2*s + 1) - 4*s + 6*s - 3*s - 41*s - 81*s - 4*s).\nAnswer: -131*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 - 6*b - 2. Let u be j(-5). Suppose -5*r + 4*k + 0*k + 67 = 0, 0 = -u*r - 4*k + 53. Let h = 28 - r. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:40 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c + 5. Let n be b(5). Let t = -30 + n. Let j be 2\/8*-2*1. Is t smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -19 + (-13)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)*w**21)\/(w**(-24)*w*w**(4\/13)*w) assuming w is positive.\nAnswer: w**(360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7*n - 32 = 9*n, w + 4*n = 31. What is the nearest to 0 in 2, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 363, 379, 407, 447, 499, 563?\n\"Answer: 6*j**2 - 2*j + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8259\/23 - -359. Which is the third smallest value? (a) -0.17 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2578\/12890)\/(((-4)\/10)\/2)*49.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(13\/(208\/(-8))*-6*(-2)\/18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -42, -5, 1, -68 in increasing order.\nAnswer: -68, -42, -5, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*h + 14, -6 = 2*u + 3*h + 2*h. Is 22\/(u + (-768)\/386) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -189.\nAnswer: -5\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h. Let q(z) = -z**2 + 10*z + 11. Let x be q(11). Let o(r) = 2*r + x + 2 - 2. Give t(o(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-2) - 3) + 13. Suppose 5*d + 5*r = z, 0*r - 24 = -3*d + 3*r. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 53. Let l(h) = 3*h + 26. Determine -4*a(x) + 9*l(x).\nAnswer: 3*x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b + 6. Let i(z) = 7*z + 5. Let h(g) = 6*i(g) - 5*s(g). Let p(f) = -2*f**2 + 2*f**2 + 3*f**2 - 4*f**2. Give h(p(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-27))\/((-21427)\/(-569346))?\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -179768.\nAnswer: -53930.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 + 2*y**2 - 3*y - 3. Give h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167*v - 39 = -3*g + 2165*v, 0 = -3*g + 4*v + 39 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112201 (base 6) in base 4?\nAnswer: -2111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81795526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (-2 + 0 + sqrt(1573))) + -2*sqrt(1573)*-3 - ((sqrt(1573) - (sqrt(1573) - (-2 + 0 + sqrt(1573) - sqrt(1573))))*-1 + -1))**2 + -3.\nAnswer: 132*sqrt(13) + 56626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5344 + -5486. Which is smaller: -134 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from ooowhho.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -454, -2457, -6012, -11113, -17754, -25929, -35632, -46857?\n\"Answer: k**3 - 782*k**2 + 336*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28794739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**5 + 89*g**3 - 2034*g + 1 wrt g.\nAnswer: 300*g**3 + 534*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*l + 17 - 9 - 9)*(5 - 3 - 1).\nAnswer: -40*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 9*h - 6. Suppose t + 2*a = -t - 16, -3*t = -a + 8. Is 14 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 32790?\nAnswer: 32790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1446 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i**3 + 114*i**2 - 5*i - 145. What is g(10)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350.35 + -377.35. Which is the fifth smallest value? (a) p (b) -2 (c) 2\/9 (d) 0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 34, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384131 or -1536527\/4?\nAnswer: -384131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1931132 or -1931135?\nAnswer: -1931132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f - 1 + 1\/10*f**5 + 1\/6*f**4 - f**2 - 1\/3*f**3. Let l(t) be the first derivative of g(t). Determine w so that l(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*l + 144 - 52 = 22*p - 0*l, 4*p - l - 29 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 695, 697, 701, 707, 715?\n\"Answer: f**2 - f + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/7869538 and -29\/306.\nAnswer: 70825842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2) + (-34)\/(-9). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(187)*-5 - -1*sqrt(187)*1)\/(sqrt(704)*2 + (-6*sqrt(99))\/sqrt(9)).\nAnswer: 21*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let v(q) = 113*q + 2. Give h(v(b)).\nAnswer: 25538*b**2 + 904*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 41 = -309. Let t(w) = 7*w**2 + 3*w. Let i be t(3). Suppose i = 5*j + 2. Calculate the greatest common divisor of z and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 3 = 21. Find the third derivative of 22*c**6 - 9*c**2 + 12*c**m - 56*c**2 - 62*c**6 wrt c.\nAnswer: -4800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/1140840 and 145\/57042?\nAnswer: 1140840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 5:11 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25441388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoofooofoofooof. Give prob of sequence ff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:42 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y - 11. Let l(d) = -13*d + 23. Let h(a) = -3*l(a) - 7*v(a). Differentiate h(c) with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20101332232 (base 4) to base 10\nAnswer: 2170798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42483309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/21)*v**(6\/5)*v**16\/((v**(-8)\/v)\/v) assuming v is positive.\nAnswer: v**(2956\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5.7. Let g = -0.34 - t. Let j = 2 + g. What is j rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/133038 and -29\/3816.\nAnswer: 28204056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25135.23 - -25377. Round w to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37039698 - -0.5?\nAnswer: -37039697.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6270186ns to minutes.\nAnswer: 0.00000000001045031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2 - 3*k + 2 + k + 2*k**3 + 4*k**4 + k**2 in the form s + a*k**3 + m*k + r*k**2 + b*k**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 - 25696 + 25696.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*i - 5*i + 4*i + 3*i**3 + 0*i**3 wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-10 - (39 + -7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a + 21. Calculate the lowest common multiple of 345 and s(-1).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k, w + 2*k = 2*w - 4. Suppose -w*p = 3*p - 20. Is -4*((-135)\/p - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2\/(-20)*2. Let n = 0.44 + 0.06. Let g = n - 0.4. What is the second biggest value in d, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1350 = 5*w, 0 = 4*w - r - 362 - 703. Let f = w - 264. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-2)\/(-1))*((-476)\/630)\/(-17)*-5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j - 491 + 1220 = -2307 + 61 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4832\/160 + -11 + 0 + -17?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 238 = -2*f. Suppose -b + 28 = t - 33, -f = -2*b + 4*t. What is the remainder when b is divided by (3 - (4 - -1))*-11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/8*k - 21\/8 - 27\/8*k**2 - 3\/8*k**3.\nAnswer: -3*(k + 1)**2*(k + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s - 1. Let f(o) = 2*o + 1. Let g(x) = x**2 + 3*x - 1. Let u be g(-2). Let d be f(u). Let v be (2 + 12\/d)*5. What is c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l*n**3 - 3379*l*n**2 + 5*l*n - 647*n**4 wrt n.\nAnswer: 84*l - 15528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 1109234. Let u(y) = -y**2. Give k(u(w)).\nAnswer: 3*w**4 - 1109234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43734869 to the nearest integer?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**5\/300 + 57*g**4\/20 - 12138*g**2. Factor w(a).\nAnswer: a*(a + 342)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 - 16*t**2 + 18*t + 36 = 0. What is t?\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**3 + n**2 - 5*n - 3. Let x(g) = -2*g + 10 + 13*g - 2*g + 23*g**3 - 5 - g**2 - 4*g**3. What is 5*u(t) + 3*x(t)?\nAnswer: 7*t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 29. Let k(f) = -f**2 - 1. Let d be k(0). What is the units digit of (29 - (d + -2)) + j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130779526 divided by 6.\nAnswer: 65389763\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 15. Let x be f(19). Suppose -2*v - x*k = 10, -k - 3*k - 4 = 4*v. Let t(p) = -p**2 + 6*p - 6. Calculate the remainder when v is divided by t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -16*o - 20. Which is the nearest to o? (a) 0 (b) -0.5 (c) -5\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3)*((-1632)\/238 - (-8 + 1)). Put 0.3, 1, -1\/9, j, -2\/7 in decreasing order.\nAnswer: 1, 0.3, j, -1\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -30. Let l = -19.8 - f. Let n = l - 2.145. Round n to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 7*n**3\/6 - 12*n**2 - 23*n - 78. What is m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -1 (b) 0.1 (c) 9\/110 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*w**5 - 307416*w**4 - w**2 + 18908022*w - 3.\nAnswer: -660*w**2 - 7377984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395893?\nAnswer: 149, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18014, 36078, 54142, 72206, 90270, 108334?\n\"Answer: 18064*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/169153238 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10640 and 4165?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.06, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 581, 1157, 1729, 2297?\n\"Answer: -2*z**2 + 582*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60865 is divided by 19217?\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -4252?\nAnswer: 4270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 - 2*r**2 + r. Let q be o(1). Suppose 68 = q*i + 4. Suppose 2*g = i + 8. What is the highest common divisor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2171 = -3*v - 23738, 4*v - 25888 = -6*w. What is the highest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**6\/180 + m**3\/3 + 2. Let b(z) be the third derivative of k(z). Let q(a) = 2*a. Determine b(q(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (12 - (26 - (-15 + 19)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 47, -5, -3.\nAnswer: -5, -3, -2, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -5*p + 3*v, -2*p + 3*v + 15 = 0. Solve 0*z**2 - 1\/2*z + 1\/2*z**p + 0 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*l*l*l**(4\/5)*((l\/(l\/(l*l\/l**1)))\/l)**(4\/3)*(l**7\/l**(-2))\/(l**(-3\/10)*l**(-2)) assuming l is positive.\nAnswer: l**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67\/6 - -34\/3. Which is the nearest to -1\/2? (a) l (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 - 66*t - 14. Determine j(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, 0, -4, 4, -14, -2 in descending order.\nAnswer: 4, 0, -2, -4, -14, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-495)\/(-10)*(-47)\/(-141).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 4 = 0. Let l(k) = -2 - 1 + 0 + k - 3. Let q be l(6). Solve -j - j - d = q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 455*p - 890.\nAnswer: -5*(p - 89)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14874*-4\nAnswer: -59496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 95.074958\nAnswer: 9.5074958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348805408 to the nearest integer?\nAnswer: 18676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111212121111 (base 3) in base 6?\nAnswer: 315432021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 13*g**2 - 13*g - 7. Let s be m(14). Let a(f) be the first derivative of -f**2\/2 - 3*f - 22. Determine a(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.44356506 and -40?\nAnswer: 40.44356506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = -d. Suppose 3*g - 4*z + 2 = 0, -d*z = 2*g - 7 - 3. List the prime factors of g\/(-5) - 276\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + (sqrt(2268) + 4)*-2)**2.\nAnswer: 288*sqrt(7) + 2332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8949*h - 4473*h + 588*h**4 + 499*h**2 - 4476*h wrt h.\nAnswer: 14112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 2*l + (4 - 1 - 5)*(0*l - 2*l + 3*l) - l + 0 + 0 + l - 2*l - 3*l)*(2*l + l - 2*l + (4*l - 4*l + l)*(3 + 2 - 3)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89439206 to three dps.\nAnswer: 0.894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 9*q**2 + 9*q - 9. Let b(n) = n**3 + 4*n**2 - 4*n + 4. Suppose 130 = -5*h + 340. Let z = 23 - h. Let d = z + 10. What is d*b(i) - 4*l(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5591037.\nAnswer: 3, 71, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 590 = -632. Let h(f) = 18*f**2 - 2*f + 5. Let n(w) = 19*w**2 - 2*w + 6. Give d*h(m) - 5*n(m).\nAnswer: 13*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z - 7*z + 18*z as c + m*z and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130001232013 + -1?\nAnswer: 130001232012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101\/3 - -33. Put 5, f, -3\/8 in decreasing order.\nAnswer: 5, -3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 18*r = -80*r + 850300. Is 106 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*c - 270 = -97*c + 124*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 15\/(-3))\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.4 take away -3043?\nAnswer: 3127.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3777 (base 13) in base 12?\nAnswer: -4680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 - 4*a + 5. What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 46. Determine u(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9984 + 1.05619. Let k = -6318.9376 - -6319. Let b = t - k. Round b to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10 + (-308)\/(-1045) + (-4)\/(-38)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f*f*f*f**(-23)*f))*f)\/f)**(5\/3)*(f*f*f*f**(-2))**(-3) assuming f is positive.\nAnswer: f**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2. Let s(k) = -8528196*k**2. Determine p(s(c)).\nAnswer: 218190381043248*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -13, -4, 3 in decreasing order.\nAnswer: 4, 3, -4, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-32\/7)*w**(3\/7)*w**(1\/17)*w**(-13\/2)\/w assuming w is positive.\nAnswer: w**(-49\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k - 476. Calculate z(39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1134154.\nAnswer: -1\/567077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784 + 279*n**3 - 784 + 524*n**3 + 4*n - n**2.\nAnswer: 803*n**3 - n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21035 divided by 4207?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697\/6*r + 11\/6*r**2 + 42 = 0. What is r?\nAnswer: 4\/11, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5276.962ns to seconds.\nAnswer: 0.000005276962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(20)*-2)\/((sqrt(120)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4964100 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43\/3 in -0.2, -12, 1\/6, -235?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, t: 4, a: 1, z: 4}. Give prob of sequence tda.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nssnnnsssssn. What is prob of picking 4 n?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-40) - 11\/(-4). Let l be u + (-2)\/1 + 2. Solve 5*f - l*f + 4 = 4*y, -f = -3*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28207240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j - 4 + 71*j - 78*j + 4.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 = 3*q, 3 + 7 = 5*q. What is the closest to -1 in 3, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-5\/6)*v*v)\/v)\/v*v**2)\/(v*v**0)**(-14\/13)*(v**3*v)\/(v\/((v*v*v**4*v)\/v*v))*v**(-6)\/((v\/(v\/v**5)*v*v)\/v) assuming v is positive.\nAnswer: v**(227\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 0.4 (c) -2 (d) -1\/2 (e) 2\/23 (f) 0.0391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -d. Let a be 3*(0 + (-2)\/d). Suppose -5*l + 484 = a*y, 0 = -l - 2*y - 0*y + 101. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8997 (b) 0.2 (c) -3 (d) 1844\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (684 - 417 + 375)*(0*a + 4*a - 2*a).\nAnswer: 1284*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -10, -3, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28905 - 58205. Round p to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -23\/12*v**4 + 3\/4*v**5 + 11\/4*v**3 - 3\/20*v**6 - 8*v + 0 + 1\/84*v**7 - 9\/4*v**2. Factor x(h).\nAnswer: (h - 3)**2*(h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/15 + (-4)\/10. Suppose t*h - 114 = 16. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1437240 and 1827.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) - -2 - 0. Suppose 0 = h + 5 - 6. Put -2, h, a in increasing order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.34 + 0.34. Let p = n + 24. Let s = p + 21. What is the smallest value in 2, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -27. Suppose -a*u = -25*u + 42. Let p = 3 - 1. Calculate the smallest common multiple of p and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Suppose 5*p + 2 = o + p, 0 = i*p. Suppose -1 = -2*q - 5*c, -21*q - 3*c + 3 = -19*q. Sort -3, q, o.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 370 = -1090. Let c be 4\/(-10) + p\/285. Suppose 11*z - 12*z = 1. What is the third smallest value in z, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138817307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 49*f**2 - 17*f - 37. Let s be -5 + 4\/(-24) + 20\/(-24). Is o(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*o + 10 = 0, p - o + 17 = 3*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b**(-6\/7)*b*b*b))*b\/((b*b**(-44))\/b)*b**(-7\/3)*b*b**(-2\/39))**(-43) assuming b is positive.\nAnswer: b**(-186878\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 5*x + 8. Let d be (-1)\/(-3)*18\/6. Let v = 8 - d. Solve 2*w = x*s + 8, v = 4*w + 3*s + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(112) + -3)**2 + (2*sqrt(112) + 2)**2.\nAnswer: 48*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.00863342\nAnswer: -0.01726684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*h = 293*h + 291681. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 2349270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 25. Which is the closest to k? (a) 0.1 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95.84 and -222.5.\nAnswer: 21324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8937023009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*h + 38*h - 35686528 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-127591.\nAnswer: -382773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-6) - (-44)\/(-66))*-6600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -48718158.\nAnswer: 48718154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13051391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 3529*p\/2.\nAnswer: p*(p - 7058)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44819\/22 or 2038?\nAnswer: 44819\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*v - 66*v - 75*p - 112, 0 = -5*v - 20*p + 25*p + 140 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25186 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 95357.5 rounded to the nearest 1000?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 20214.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**6*o**2 - i**5*o**2 - i**2*o**2 + i**2*o + 25*o**2 wrt i.\nAnswer: 240*i**3*o**2 - 60*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 55140211.\nAnswer: 55140211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 6*z + v - 4 = 0, 0 = -4*z + 4*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 2067. Let v(g) = 9*g**2. Calculate a(v(u)).\nAnswer: 36*u**2 - 2067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14330 - -43383. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 29102*g - 29107*g - 10, 3*l - 5*g + 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*m - 49*c**2*q + 2*c*m*q + 297*c*m wrt q?\nAnswer: -49*c**2 + 2*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 48?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (56511\/81)\/23*20\/84*9\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93895.\nAnswer: 5, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69728027.\nAnswer: 757, 92111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {u: 2, m: 4, e: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/54 and 49\/138?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -342, -343, -344, -345, -346?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 16*v - 25. Let l be (-381)\/(-18) + -2*1\/12. Is a(l) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 131.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let h be (56\/6 - 3)\/((-3)\/(-9)). Let b(u) = u + 17 + h - 35. Let r(z) = 8*z. Let p(c) = 3*b(c) - r(c). Give p(j(i)).\nAnswer: 5*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*g, 3*l - 4*g = -l + 24. Suppose 12 - 27 = 3*k. Let q be l\/8 + k\/(-12)*-3. Is 0.03 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v - 15, -3*v = -5*n + 764. Suppose 0 = -3*p + n + 113. Let x = p + 86. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-85 - -1)*(-4)\/((-112)\/(-21)). Let f(g) = -609*g**3. Let b(c) = 38*c**3. What is q*b(s) + 4*f(s)?\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 2*w**2 + w - 7. Let n be i(3). What is the highest common factor of n and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + o + 21, k + 2*o - 4*o = 7. Suppose -112 = -k*g + 3*g. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*t - 4*f - 24 = 86*t, -2*f = -5*t + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1467)\/(-12))\/(-3) + 1. Let i = 40 + z. Let o = -0.2 + 0.5. What is the second biggest value in o, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -18*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -689 + 691. Suppose -2*a + 2*i = 19 - 5, 0 = p*a + 2*i - 6. What is the third biggest value in -19, a, -0.5, -1\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 11:50 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 - 1 + 26*w - 17*w**2 - 26*w to the form t + m*w + b*w**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066728 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7932*p**5 + 1387*p**2.\nAnswer: -475920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*d + 8, -2*b - 3*b = -d - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036910242 rounded to 4 dps?\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10018581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t = -308 + 1298 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 - 3*s - 2. Let p = -9 - -18. Let o be -1*((-2 - -4) + p). Let b(f) = f + 15. Let d be b(o). Give c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 + 85.6. Let m = w + -76.86. What is m rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 - -1.7. Sort 0.4, w, 5\/2.\nAnswer: 0.4, 5\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19893*y**2 - 80267*y - 80276*y + 160543*y as u + o*y**2 + b*y and give o.\nAnswer: -19893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 10. Suppose 0 = 5*i - 5*r - 15, -z*i = -4*r - 13 - 2. Let n be (3 - 0)*(2 - i). Which is the second smallest value? (a) 0.3 (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 802 or -5\/2?\nAnswer: 802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113078c - 5?\nAnswer: -1130793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, g: 1, f: 2, v: 4}. Give prob of picking 2 v and 1 s.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*m + 21. Suppose 2*a + v = -m, -33*v + 34*v + 2 = 0. Solve a*u = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 26236*m**3 - 52488*m**2.\nAnswer: 4*m**2*(m - 2)*(m + 6561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -245, -2072, -7059, -16796, -32873, -56880?\n\"Answer: -265*z**3 + 10*z**2 - 2*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:10 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245373 is divided by 2521.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 16 = 14*v, -24*m + 14*v - 33*v + 44 = -15*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 4*w - 5 - 4*w + 0*w - 2. What is the remainder when d(-6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19) + -1 + (sqrt(171)\/(sqrt(27)\/sqrt(3)) - sqrt(19)) + sqrt(76)\/(6*sqrt(12)\/sqrt(3)).\nAnswer: 4 + 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i. Let k(u) = -41*u + 3 + 48*u - 3. Calculate k(s(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = j + 41, 0*j + 3*j - 2*f - 9 = -132 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(((-2 - -10)\/(-16))\/((-35)\/70) + -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -256994614*n + 610816070 wrt n.\nAnswer: -256994614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2\/11)))**(-3\/11)*x**(-6)\/x*x**(-13) assuming x is positive.\nAnswer: x**(-2414\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-3) - -2) + (-378620)\/(-30). Let w = 7891 - k. What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 11 - (-606 - -550).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 2*r**2 - 3*r**2 + 8*r**2 - 16*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*m**4*p**2 - 28*m**4*p - 2*m**2*p**2 - 3113*m*p**2 wrt m?\nAnswer: 600*m*p**2 - 672*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzv. What is prob of sequence rvz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 432 - 233. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 2*k - 1. Let g(o) = -143*o**2 - 3*o - 2. Give 2*a(s) - g(s).\nAnswer: 149*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a**2 + 16*a - 30. Let r be t(-2). Solve 11*b = 15*b - r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1512 + 1?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 - c. Let s(t) = 44*t**3 - 8*t**2 + 7*t. Give 5*h(p) + s(p).\nAnswer: 39*p**3 - 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrrjrrrrjjrrrrjrrj. Give prob of picking 2 j and 1 r.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 206.982 and -0.07.\nAnswer: 206.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:21 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-5 - (-2 - 6 - -19))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x + 51*x + 3*p = 15, 5*x - 3*p + 15 = 0. Put -1, x, 3, 13, 2 in increasing order.\nAnswer: -1, x, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 865 = 5*m, -s = -14 + 19. Let q = m - -177. Solve 4*a = a - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -22.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of -5 + 1 + 2178\/495 - 33898\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - 8 - (0 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -11532*k**5\/5 - 62*k**4 - 2*k**3\/3 - 12*k**2. Factor x(u).\nAnswer: -4*(186*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, c: 5, m: 8}. Give prob of sequence mc.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 5*c**2 - 3*c - 14. Give o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 3 (c) -13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 125524?\nAnswer: -5\/125524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*x**6 + 3275*x**5 + 33*x**2 + 269*x - 2 wrt x?\nAnswer: 1080*x**3 + 196500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242193 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -100001200120 (base 3) to base 13\nAnswer: -63264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4192*w**4 + 5026*w.\nAnswer: 50304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 7*j**2 + 6*j + 7. Let h be m(-5). Let s = 76 - h. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p + 129*p = 292 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -6, 2 in descending order.\nAnswer: 5, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/6, 142\/31 in descending order.\nAnswer: 142\/31, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 + 8*k**2 - 8*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*v - 2382 + 926 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229 - -112. List the prime factors of r.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/1344 and 71\/231.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 54 + 6. Let o = -19 + a. Let c = 9 - o. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (-40 - -16 - 19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from saks?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/47809 or 1?\nAnswer: -18\/47809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 625*z**3 + 6183*z**2 - 2*z - 83752278.\nAnswer: 3750*z + 12366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-44))\/((825\/10)\/11).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052006942?\nAnswer: 2, 3, 342001157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227612 is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16083 is divided by 91?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13\/32 (b) 0.3 (c) 0.4 (d) 1\/2 (e) 1.3 (f) -3 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*u**3 + 190*i*u*z - i*z - 184*u**3*z + 4*u**3 - 89*u**2 wrt u.\nAnswer: 6*i - 1104*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2)\/(0 - (-7 + 8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8707.4 - 8708.4. Let i be ((4\/(-18))\/(-1))\/1. What is the third smallest value in i, 3, -2\/13, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 254*i. Let w(t) = 11*t. Give w(d(v)).\nAnswer: 2794*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 5. Let x(m) = -20*m**2 + 26. Let j(w) = 16*t(w) + 3*x(w). Let p be j(2). Let c = p + -6. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g\/(g**4\/g))\/g))*g*g**(1\/7)*g*g*g\/(g\/((g\/(g*g**(-8))*g*g)\/g))*g*g*g*g\/(g\/g**(-4))*g)**16)**8 assuming g is positive.\nAnswer: g**(8192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33578, 33596, 33614, 33632, 33650, 33668?\nAnswer: 33686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5039 minus -2.38?\nAnswer: -5036.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 109.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21900 - -262835\/12. Find the common denominator of y and 2\/663.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 - 55*g + 220 - 116 as o*g + f and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:50 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2856 and 854049.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1013\/11 + 16933\/165. Let j = -59\/15 + f. Let z = -13 - -49\/4. Calculate the common denominator of j and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 24. Let m be (-16)\/r - (-40)\/12. What is the units digit of 2 + m + 14 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4\/5 - 568*a**3 - 96588*a**2 + 1014136*a - 8186816\/5 = 0. What is a?\nAnswer: -401, -319, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + (26 - -18) + -42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -23. Let s be (-24)\/(-16)*v\/3. Suppose 0*x - 72 = -s*x. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)*h*h*h\/(h*h*h**(-3)*h))**(2\/71) assuming h is positive.\nAnswer: h**(26\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 10*k**2 + 14*k - 11. Let l be c(-8). Let m(r) be the third derivative of 0 - 2*r**2 - 1\/60*r**l + 0*r**3 + 0*r - 1\/24*r**4. Factor m(g).\nAnswer: -g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -2727, -2\/53?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21271 - -21270.9963293. What is r rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -15. What is the closest to m in -1, -20, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(72) + -1 - ((sqrt(72) - (sqrt(72) + 1))**2 + -2).\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -10*l - 1440. What is the common denominator of 29\/30 and (-1704)\/l - (-1)\/(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 1. Let t be 18\/(-14) - 4\/(-14). Let h(s) = -s - 4875*s**2 + 1 + 4879*s**2 + 2*s. Give t*h(r) + n(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6 - 28*d**3 - 17*d**2.\nAnswer: 120*d**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 - -1) + -59)\/(-1). Suppose 0 = 63*f - h*f - 92. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllcmgmgmlmxmm. Give prob of picking 1 m and 1 g.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose -4*i + 3*n = -21, 3 = 3*i + g*n - 2*n. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-6))\/((-101)\/(-51 + 657)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000291172 to 6 decimal places.\nAnswer: 0.000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7042437 and 7786.\nAnswer: 14084874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*o + 50, -17*o = -3*b - 12*o + 95. What is the highest common factor of 580 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbxbbbbxxx. What is prob of sequence bbxb?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7744 and 2528.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/58 - 50\/29. Let j = 0 + 5. Let g = 2 - j. Is g at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 14\/10771, 4 in descending order.\nAnswer: 4, 14\/10771, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/715)\/(2\/22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.5 + -65.5. Let s = 56 + k. What is the second biggest value in -3\/5, s, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -5*c**4\/24 + c**3\/6 - 17*c**2\/2 + 9*c. Let q(i) be the first derivative of w(i). List the prime factors of q(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 403*t - 38. Let l(r) = 197*r - 18. What is 13*l(y) - 6*n(y)?\nAnswer: 143*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -0.94, 8?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0.5 (c) -2\/3 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-24)*344\/(-11137)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 29*p**2 + p + 70. Let z be a(30). Calculate the smallest common multiple of 1132 and (-10)\/55 + z\/55.\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 28*j - 10 = -r, 4*j + 4*r = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.6. Let d = -0.1 - k. Which is the second smallest value? (a) d (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943\/215 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7\/(21\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-5 - sqrt(117))**2 - (sqrt(13) + (2*sqrt(143))\/sqrt(11)).\nAnswer: -3*sqrt(13) + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.140601 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1548\/(-344)*(-28)\/9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 + 5180300929.\nAnswer: 5180300899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -845 - -1197. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1384 (base 10) to base 15.\nAnswer: -624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4, -10*r = -13*r - 5*n + 1176560. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 + 5 - 2 + 0 + 4 + 2 - 1 + 0 + 5 - 5 + 1 + (-1 - 1 + 0)*(1 - 2 + 2))*(-4*y**2 - y**2 + y**2) in the form r + w*y + l*y**2 and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + 6*w + w)*(-1 - 2 + 2) + 6*w - w - 3*w)*(23*w**2 + 35*w + 20*w**2 - 41*w**2).\nAnswer: -8*w**3 - 140*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 408589459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -2\/105*s**5 - 6*s**2 + 0 - 5\/84*s**4 + 0*s - 1\/21*s**3. What is i in q(i) = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16722 + -200779\/12. What is the common denominator of t and -47\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-1)\/(-8)*6. Let i be ((-41)\/(-4))\/(135\/(-108)) + 8. Sort i, -5, z, -0.1 in decreasing order.\nAnswer: z, -0.1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238 - 754. Let c = -242 - f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1350 + 1542. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 18. What is m(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d + 52*d + 1 - 14*d.\nAnswer: 14*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - 5a5?\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26535 divided by -3817.\nAnswer: 26535\/3817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 10*a = -3*d + 2, -a - 9 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(-38)*8*-2. Suppose -g + 3*g - 4 = -4*r, 4*g - r = h. Solve -2*d + 0 = -g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 b when four letters picked without replacement from bbbbyyyybyybybybbby?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000651 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245452545.\nAnswer: 3, 5, 13, 17, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105449072 is divided by 292.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) + 76\/(-10). Let u(d) = -d**2 - 7*d + 8. Let s be u(k). Suppose s = 4*m - 7*m + 69. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/6 - (-2)\/(-4). Let f(t) = 2 - 5 - 3*t**2 + v. Let q(i) = i**2. Determine q(f(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7192 and 1240?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -5*v**2\/2 - 17*v - 1. Let i(k) = k + 4. Let h(f) = -9*i(f) - 2*n(f). Let y be h(2). Solve 0 = -y*w - 5*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:01 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*((sqrt(17) - sqrt(153))*1 + (-1*sqrt(1700) + sqrt(1700) - sqrt(1700))) + (-3 + 2 + sqrt(17))*5 + 5)**2.\nAnswer: 16337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520779 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 - 2*f - 3. Suppose -1 = -2*g - 0*d - 5*d, 3*d + 3 = 0. Suppose -3*a + 1 = 5*h + 11, -g*h = -4*a - 23. Let x be n(a). Is 8 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -p - d, 10*d = 3*p + 5*d - 432. Suppose 40*b - 64*b + p = 0. Calculate the remainder when 8 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257664887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 5*o)*(15 - 2 + 21 + (-2 + 5 - 1)*(9 - 12 + 24)).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c + 12. Suppose -1 + 15 = 2*p - 2*d, 3*p = 4*d + 25. Let g(l) = 2*l**2 - 3*l - 3. Let q be g(-2). Sort c, p, q in ascending order.\nAnswer: p, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41973 is divided by 591.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32949 (base 14) to base 7.\nAnswer: -1020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5135 and 29980?\nAnswer: 30789460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kirk when four letters picked without replacement from krkkirrrrkkir.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7041?\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9483553.47 rounded to the nearest one thousand?\nAnswer: 9484000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -29*r - 3. Let s be l(-5). Suppose -2*t - 2*z + s = t, -2*t = 4*z - 108. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 1 j when three letters picked without replacement from jnjnnnnjtuuutntjuzne?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 12 = 3*v. Suppose -v*w - 4 = -16. What is the least common multiple of w and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 9 = 3*w + 5*l, -w = 2*l + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, v: 3, y: 1, a: 1, l: 3}. Give prob of picking 1 l, 1 y, and 2 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -139 * 18\nAnswer: -2502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 + 5*m**2 - 77*m - 441 = 0. Calculate m.\nAnswer: -7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 164 = 5*j, 0 = -4*j - 6 + 14. Let m = p + -233\/4. Let s = 0.1 + -0.1. What is the closest to m in 2, s, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from dktkokokrkdootkkodod.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 15871, -2\/7, -4, 3\/4, -1\/4 in ascending order.\nAnswer: -4, -2\/7, -1\/4, 3\/4, 15871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + k**2 - 4)*(-2577*k**2 - 345*k**2 + 372*k**2).\nAnswer: -2550*k**4 - 2550*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9506148.\nAnswer: 2, 3, 792179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:06 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 136598?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -14 in descending order.\nAnswer: -1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**2 - 28*c + 9. Does 6 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 22*m**2. Suppose 44 - 48 = -2*t. Let w(b) = 17*b - 8*b - t*b - 2*b. Calculate w(h(g)).\nAnswer: 110*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -163*m**4\/12 - 3*m**3\/2 + 33*m**2 + 957*m. Find the second derivative of f(x) wrt x.\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 646, -278, -2712, -7412, -15134, -26634?\n\"Answer: -126*t**3 + t**2 - 45*t + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxwkwupquqwwux. What is prob of picking 1 q and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259456640 a multiple of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*h - 2)*(-2*h**4 + h**4 - h**4) + 3*h**5 + 48*h**2 - 48*h**2 + 3*h**5 + 2*h**5 - 2*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-23) - 4\/46?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1556 - -5253.\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12934.\nAnswer: 2, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -447, -444, -439, -432, -423, -412?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15936957 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -12*w - 13*w. Solve -x + 3 = 2*x - 4*j, 4*x - 5*j - 5 = w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 v when three letters picked without replacement from svuvs.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 2*u**2 - 4*u**2. Let o be ((-9)\/6)\/((-12)\/(-28))*2. Let l(g) = 11*g - 6. Let j(w) = -13*w + 7. Let n(p) = o*l(p) - 6*j(p). What is n(d(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:37 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6405 + 6478. What is the highest common factor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 - 3*h + 4. Let z be s(-3). Let y = 176 - z. Calculate the remainder when y is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -477, -902, -1309, -1698, -2069, -2422, -2757?\n\"Answer: 9*y**2 - 452*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4200081, -8400152, -12600223?\nAnswer: -16800294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*u = -608*u + 68798 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 22 - 71*o - 30.\nAnswer: -71*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 126. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f + 40 = -45*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*l - 3, l + 2*l + 2*i = 3. Suppose l*k = 586 + 188. Suppose -5*p = -2*f - 321, 5*f - 6*f = -4*p + k. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1333 - -2256. List the prime factors of u.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 9*n**3 - 13*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(21)*-4)\/((sqrt(132) + sqrt(33) - sqrt(33))\/sqrt(11)) + -2.\nAnswer: -2 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = m - 4*m - 17505, 3*m + 6 = 0. Let s = x + -2376. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -29*(-1 + 4\/2). Find the common denominator of 26\/12*3\/(-4) and (-40)\/32*x\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:17 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30817.0097 rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -6. What is the smallest common multiple of k and ((-7)\/(70\/4))\/(3\/(-60))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-25 - 41) - 62 - -46?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 69, 77, 53, -15, -139?\n\"Answer: -2*d**3 + 2*d**2 + 36*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) 2\/13 (c) -1 (d) 0.4 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 11 = -4*l. Let w be (-1)\/((-10)\/l - 1). Let f(t) = -t**3 + 7*t**2 - 3*t - 2. Let y be f(w). What is the highest common factor of y and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*s - 28. Suppose -s*q - 5*r + 96 + 137 = 0, -4*r = -2*q + 84. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o**2 - 489*o - 2995. Determine s(-6).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20548, -20547, -20548, -20551, -20556, -20563, -20572?\n\"Answer: -b**2 + 4*b - 20551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -102*c + 92. Let x(n) = -408*n + 369. Let a(d) = -4*x(d) + 15*y(d). Differentiate a(g) wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k + 156*k - 20*k - 87*k - 31*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 408, 830, 1266, 1722, 2204?\n\"Answer: y**3 + y**2 + 412*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30\/13 + 476\/195. Let h = -725 - -6529\/9. Which is the nearest to -1\/4? (a) 0.1 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4602 and 585?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.021*-647\nAnswer: -13.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.021 + 5.021. What is the third biggest value in -5, 1, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*h + 4, -h = -2*v + 2*h - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95736321?\nAnswer: 3, 47, 89, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14731819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -541 - -4596. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019763 rounded to 5 decimal places?\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 and 44\/3938379?\nAnswer: 3938379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 386*o**2 - 8129*o - 44044 = 0. What is o?\nAnswer: -364, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -2\/2073, -2, -4?\nAnswer: -2\/2073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/8 - 79389*w\/4 + 39693.\nAnswer: 3*(w - 52924)*(w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/14*(-309435)\/42 + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (671\/122)\/(1\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3069*c - 417377. Determine u(-136).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 27*v - 68 = 0. Sort 0, -2, v in ascending order.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2. Let s be 239\/3 + 2\/(-3). Suppose 0 = j - 426 + s. Let t(v) = 12*v**2 + 347 - j + 4*v**2. Calculate i(t(r)).\nAnswer: 512*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6*h. Suppose 6*j - 2*j - 164 = h. What is the remainder when j is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - bd?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*h**2 - a*h**2 - 3*a*h - 3*h**2 - 154*h wrt a.\nAnswer: -2*a*h**2 - h**2 - 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 4, 2\/21, 7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 5*y - 5*y + 0 + 0 - y + (2 + 2 - 2)*(-2 + 2 - y))*(23*y**2 + 277*y - 277*y).\nAnswer: -92*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -9513 + 1644. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from {p: 2, d: 4, t: 4, s: 2, f: 5}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1034 - 1032. What is the biggest value in -1\/11, g, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-273)\/(-182))\/(3\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(1050\/(-2940))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 - -552. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**4\/12 + 2*n. Let b be 4\/(-12) + 1 - (-4)\/3. Let o(j) = 27*j**2 + 24*j**2 - 69*j**2 + 29*j**b. What is h(o(g))?\nAnswer: -121*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2117*s + 15154. Determine i(7).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -432 - -432. Sort -15, x, -2 in descending order.\nAnswer: x, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k - 16*k - 8*k + 693158. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1151*g + 13884. Determine i(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let o be (-6)\/9 - (-7)\/(-21). Let p = 1539 - 1538. Which is the fourth biggest value? (a) p (b) -0.5 (c) f (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66015619471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09822 and -17.38.\nAnswer: -1.7070636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -18486*q**2 - q + 17. Let d(b) = 3081*b**2 - 3. Let u(h) = -17*d(h) - 3*i(h). Find s, given that u(s) = 0.\nAnswer: -1\/1027, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/(-4) - (1*-4)\/(-1). Is ((-132)\/10)\/(1\/m) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:23 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 50. Let c(s) = -4*s + 60. Let b(j) = -5*c(j) - 6*v(j). Let u(q) = 228*q**2 + 6*q. Calculate b(u(x)).\nAnswer: 456*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 199 - -2?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*a**2 - 2*a**2 - 9 + 7.\nAnswer: -372*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u**5\/7 + 546550*u**4\/7 - 2075500424*u**3\/7 + 1168296194*u**2 + 460743368*u\/7 = 0 for u.\nAnswer: -1\/18, 0, 4, 7589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18869 - -18871. Let m(t) = -15*t. Let z(d) = 29*d + 1. What is p*z(n) + 5*m(n)?\nAnswer: -17*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8265 - 7891. What is the remainder when a is divided by 183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -624312.\nAnswer: 5618808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31834.857 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/j*j*j**(-24)*j*(j\/(j*j**(2\/9)))**(-33) assuming j is positive.\nAnswer: j**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from aiiaibiibibb?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 13 = p. Let b(y) = -2 - y - p*y**2 + y**3 + 2 - 1 - 4. Let m be b(4). What is the greatest common divisor of 21 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l. Let b(f) = -f - 11. Let u be b(-13). Let z(x) = 0*x**2 - x**2 - 2*x**u. Determine z(d(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 9. Let c be h(-8). Let z = -13 + c. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430272 is divided by 107567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 67 + 57 = -4*q, -5*q - 47 = -j. Let n = j - 25. Solve 2*g - 6*g + 5*d = 10, 0 = n*g - d + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 32224\/1254)\/((-20)\/12) - 856\/(-11)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6 - (-1 + (2 - 3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*6\/(-9) + 24\/(-90)*5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3 - 3 + (-1 - 2 + 0)*(-4*w + 3*w + 2*w) - 73 + 73 + 2*w)*(-w - w + 3*w)*(-31 + 31 - w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86277 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: List the prime factors of 17807434.\nAnswer: 2, 37, 240641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*39\/6*(-63368)\/(-4628)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 17*w + 9*w - 12*w to the form o + j*w and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 + 90 = -5*c + 5*t, t - 30 = -c. What is the least common multiple of c and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(42\/9 - 4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(-75) + (-2)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1000141?\nAnswer: -1000131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -59. What is the nearest to -0.3 in s, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*h + 41 + 46 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88900 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -285 - -2169\/7. Let o = q + -25. Let x = -11.3 - -11.2. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44427, -177570, -399425, -709992, -1109271, -1597262?\nAnswer: -2173965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.02. Which is the closest to q? (a) 5 (b) 2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.106 (b) -5 (c) -350 (d) -0.1 (e) -3\/5 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 - 34*w\/7 - 537000\/7.\nAnswer: (w - 750)*(w + 716)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-22)*g*g**36*g assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171138 and 9768.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 83*r**4\/6 - r**3\/3 - 37*r**2\/2 + 16*r\/3 + 14\/3 = 0.\nAnswer: -1, -2\/5, 1, 7\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -5473\/332?\nAnswer: -5473\/332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1328676, 3\/10, 11, -0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 35*x**2 + 53*x - 62. Let p be h(34). Are p and 583 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71406947 plus 0.1?\nAnswer: -71406946.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/9)\/(u\/(u*u**(-2\/77))))**(2\/23) assuming u is positive.\nAnswer: u**(52\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 57*s**4\/2 - s**2\/2 - 40*s - 126. What is the second derivative of f(a) wrt a?\nAnswer: 684*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a. Suppose v + 1 = -l, 0*v - 25 = -3*l + 4*v. Let j be (2\/4 - l)*16\/20. What is y(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/2 - 19*m**3 - 35*m**2\/2 + 37*m = 0. Calculate m.\nAnswer: -37, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b790 (base 14) in base 15?\nAnswer: -95c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*j - 2*j = -11, -4*j - 16 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -172*t + 175*t - 36, 37*o - 66 = 3*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512) - ((sqrt(512)*-1 - sqrt(512)) + 2)) + (5 + sqrt(512)*-1 - sqrt(512)))**2 + 1.\nAnswer: 96*sqrt(2) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 78 (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d. Suppose 3*p - 6*p + 18 = d. What is the greatest common divisor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/97, -1\/35, 3\/4 in ascending order.\nAnswer: -1\/35, 2\/97, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -33 + 52)\/(1*5\/10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c*c**0*c*c)\/c)**(-5\/8))**(-8) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2711054 - 13?\nAnswer: -2711067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 40 - 22 + 28*v**2 + 78 - 5*v to u*v + n + m*v**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.3, 0.4, -16\/427?\nAnswer: -16\/427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020222222 - 10010021?\nAnswer: -10101010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 5*v + 2. Let i be z(5). Suppose o = -i + 4. Let j be ((-175)\/o)\/(1\/(-128000)). What is j rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6214 + 6651 + 686)*((0 + 0 + 2)*(1 + q - 1) + 0 + 2*q + 0)*(4 - 3 - 3).\nAnswer: -108408*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 30. Let k be y\/6*(63\/(-6))\/(-7). Suppose 4*f - 93 = 15. Solve 3*t = -0*t + 4*j - f, -5*t - 5*j = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 8*j + 3*j + 3*x - 18 = 0, 3*j - 11 = -x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 8, 4*z - 501 = -4*o - 61. Let p = -6758 - -6788. What is the remainder when o is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/5)*x**5 assuming x is positive.\nAnswer: x**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -48, -3, -2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 0, 0.05 in ascending order.\nAnswer: -2, 0, 0.05, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220 a factor of 701780757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 151*v + 103. What is o(77)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let d = 0.96 - -0.34. Let v = 2.3 - d. Which is the closest to h? (a) v (b) 2\/3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4, -35*i - 2*l + 6 = -36*i. Let a(c) = -7*c - 49. Give a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7315ba + -3?\nAnswer: 7315b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6574, 6411, 6058, 5449, 4518, 3199, 1426, -867?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6811?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 172 - 280*z**2 + 93*z**2 - 85.\nAnswer: -187*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 46*s + 42*s - 65, -7 = -x + 2*s. What is the remainder when 519 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + -b?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -937213859 and 7.\nAnswer: -937213852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(14\/(-4)))\/(4\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*d + 13. Let a be 36\/(((-108)\/304)\/d). Is (a - 2\/2)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -171388, -8 in decreasing order.\nAnswer: 22, -8, -171388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 52. Let z(q) = 2*q - 19. Let r be z(m). Let v be ((-5 + 5)\/1)\/(r\/(-1)). Put -1, v, -5 in increasing order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134911 = -0*j - 14*j + 169659. List the prime factors of j.\nAnswer: 5, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*o**3 + 59*o**3 + 60*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*o = 138, 5*n + o + 16 - 198 = 0. Suppose -s = -5 - 4. Calculate the highest common divisor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 - g - 2. Let a be i(2). Which is smaller: 13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.9 - 42.9. Which is the smallest value? (a) h (b) 148 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 82662108.\nAnswer: 82662108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1887 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5150 divide 2026648600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2084871 (base 9) to base 16\nAnswer: -111316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3585125 or -10755377\/3?\nAnswer: -10755377\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245 + 247. Let y(f) be the first derivative of -11 - 1\/3*f**3 + 0*f**l + f. Calculate y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 140, 298, 456, 614?\n\"Answer: 158*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.98 + -3.7538. Let y = b - 0.24. Let g = 0.024 + y. What is g rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 4, 0, -8, -20, -36, -56?\n\"Answer: -2*g**2 + 6*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/((-167)\/(-501))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -51?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {s: 1, j: 1, u: 1, p: 1, f: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87069.27ml in litres?\nAnswer: 87.06927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1, -13 in increasing order.\nAnswer: -13, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 21 in ascending order.\nAnswer: -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2 - 8. Let s(q) = -q**3 - 10*q**2 + 13*q + 27. Let t be s(-11). Suppose -b*p + 0*a = 2*a - 58, -t*p = 2*a - 157. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 - 330236*a**3 - 13633297824*a**2 - 109047559940*a - 95414592350 = 0.\nAnswer: -82555, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**7\/735 - o**6\/28 - 9*o**5\/35 - 10*o**4\/21 - 144*o**2. Solve u(j) = 0.\nAnswer: -10, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*b - 552, -104 = -3*g + 5*b + 448. Calculate the least common multiple of 138 and g.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = j + 4*n + 19, 2*j + 4*n = 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 1112?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 3, g: 1, y: 1, e: 1}. What is prob of picking 1 k and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/70)\/((-216)\/(-84)). Put 0, -2, 0.4, w in increasing order.\nAnswer: -2, w, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*m + 167*m + 21 = 5*z, -11 = m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + 4 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(0 + sqrt(684)) + -2*sqrt(684)*1 - (2 + 3*(sqrt(684)*-1 - sqrt(684)) + (sqrt(684) - (sqrt(684) + -1*sqrt(684))) + -2))**2.\nAnswer: -180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626302.\nAnswer: 2, 313151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 66 = 159. Let i = 24 - 22. Which is the closest to i? (a) 2 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994964359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + 2*z - 3. Let l(b) be the first derivative of -11*b**3\/3 - 5*b**2\/2 + 7*b - 48. Calculate 5*a(g) + 2*l(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 5*k**2 - 4*k. Let z be p(3). Let l = -19 - z. Let o(i) = -i**3 - 21*i**2 - 2*i - 32. What is the least common multiple of l and o(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2605410 + 0.02.\nAnswer: -2605409.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 440113 or 5721483\/13?\nAnswer: 5721483\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133181*u**2 - 34562*u + 1 wrt u.\nAnswer: -266362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2460.59 - 2362. Let s = -230 - -329. Let b = l - s. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -5*x - 173. Let v = x - -199. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182*39.7\nAnswer: 7225.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 41 + 109. Suppose 0 = 2*p + x - 84. Suppose -3*q = 2*z + 3 + 1, 0 = -5*q + 3*z + p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 7 + 0 + -6. Suppose 0 = 7*c - 333 - 87. Let j = i + c. Is 8 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 {a: 1, m: 1, b: 14}. Give prob of sequence bab.\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*d + u, d + 3*u - 48 = -d. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7726.71 millennia to years.\nAnswer: 7726710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 3418 - 25 - 835.\nAnswer: -12*x - 4278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:57 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*f + 645 = 2*f. Let l = -9\/16 - -19\/48. What is the smallest value in -0.05, f, -1\/12, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -3\/7, -2 in decreasing order.\nAnswer: -3\/7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*z**2 - 85 + 85)*(0 + 4 - 1) + (-1 - 5 + 3)*(-2*z**2 + z - z))*(-69*z**2 + 12*z**2 + 110*z**2).\nAnswer: -1113*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 620 = -200. Does 10 divide 6\/9*(m + -3 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3225 = 2*g - b, -32*g = -29*g - b - 4837. Is g a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5 = -v, 5*w - 2*v + 4*v = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 - (0 + 1 - 19 - -6 - 8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 398331780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2100 divide 312582443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -31*y + 78. Solve 18 = -y*m - 4*k - k, -m = -4*k - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(245) + -2) + sqrt(245)*2*-6)**2 + ((sqrt(245) + 2)*5)**2 + (((sqrt(245) - ((-2 + sqrt(245))*4 - sqrt(245))) + sqrt(245))**2 - sqrt(245)).\nAnswer: 1141*sqrt(5) + 31050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 938992 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 + 51924*y + 14127850 = 0.\nAnswer: -25687, -275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/99)\/(2\/12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -2. Let w = 734\/15 + -49. Let n = w - -2\/5. Which is the nearest to 0? (a) n (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*o + 8, 200*o - 198*o = 2*m - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(343) + -4)*6 + 0 + 0 + sqrt(7) + (sqrt(49) + sqrt(196))\/sqrt(7).\nAnswer: -30 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfffwwffww. What is prob of sequence wwff?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14759 or 206631\/14?\nAnswer: 14759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/27056?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 14 = -1502. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 48 = 0, 2*y = -2*o + 1549 + 1773. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/3*m**2 + 140\/3*m = 0.\nAnswer: 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n + 3403 = 1203 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 9485 = 7*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1\/20*y**5 + y**2 + 1\/70*y**7 + 0*y - 18 + 0*y**3 - 1\/112*y**8 + 0*y**4 + 1\/40*y**6. Suppose r(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 5*t + j + 127, -2*t + 4*j + 242 = 0. Suppose 4 = 3*k - 2*k. Suppose -k*g + 23 + t = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6152109, 6152111, 6152113, 6152115, 6152117?\n\"Answer: 2*h + 6152107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6138*h - 3104*h - 3043*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 54*l**2 - l + 2. Let c = 83 - 82. Let d be w(c). Let y = d - 47. Solve 3*j - j = -y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5794*w = 4045*w - 560823 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3498 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-8)*(-2)\/12*252\/(-2340)*-39?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 30195 to the nearest one hundred.\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.83608ml in litres?\nAnswer: 0.03183608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.48 + -7.48. What is the nearest to h in -2\/5, 0, -67\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/9333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -380 + 189 + 375*y**2 + 192 - 197*y - 376*y**2 - 165*y as z*y**2 + a + l*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.08 - 4. Let m = a + 3.92. Sort 3\/2, m, 3.\nAnswer: 3\/2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**3*o**3 + h**3*o - 20*h*o**6 - 28*o**2 wrt o.\nAnswer: 48*h**3 - 2400*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-9) + 44\/198 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Suppose r = -4*z + 479997, -2*r + 479994 = -j*z + 6*z. What is z rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11546280 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*(2\/(-3))\/(10\/130). Let w be (-1173)\/(-4) - 24\/(-32). Let d = w + h. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27750 divided by 5550\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7891 is divided by 875.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 23 = -n - 5*s - 22 + 57, 4*n - 3*s = 29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 4. Let n be w(-16). Let g be 112\/n - (-6)\/(-3). Sort 1, g, 2 in decreasing order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*k + 37*k + 442. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/11 + 4080*i\/11 + 6358 = 0. Calculate i.\nAnswer: -17, 2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/((-7)\/((-1134)\/(-9))). Find the common denominator of s\/(-180) - (-1 + (-1214)\/(-1272)) and -61\/4.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 42049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from efhebefebee?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4)*(10 + 2). Suppose t = -3*w + 304, p*t = w + 2*t - 100. Calculate the common denominator of -79\/12 and 8\/160*(w - -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*c**2*y - 5*b**3*c*y + b**3*c + 2*b**2*c**2 - 4*b**2*p - 135*b*p*y - 3*p wrt y.\nAnswer: b**3*c**2 - 5*b**3*c - 135*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (0 + -5 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.76787 rounded to one dp?\nAnswer: 53.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/20 - 10\/(-24). Let s = 8.54 - 8.84. Let f = 15\/77 - -1\/11. What is the third smallest value in f, s, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 - 7*t - 7. Let s be w(7). Find the common denominator of 67\/10 and (-5)\/3*s\/(245\/(-90)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70624.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 574*b - 166855 = 1870*b - 20699 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/3 + 9982*b\/3 + 6656 = 0. What is b?\nAnswer: -2, 9984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -131\/792, 51, -1\/8?\nAnswer: -131\/792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1254 + 181 - 17 + 2*q in the form b*q + x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8204 by 1172.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8\/n)\/(((n\/((n\/(n\/(n*n\/(n\/(n\/n**(3\/2)))))*n)\/n)*n)\/n)\/n))\/(n*n**(3\/7)\/n*n**(-2\/5)) assuming n is positive.\nAnswer: n**(523\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 0. Let b be (d\/4)\/((-4)\/(-496)). What is the common denominator of -30 and (b\/(-39))\/(0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-6 - -3)\/(-6))*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**2)\/f*f\/(f\/(f\/f**(-1\/5))))\/(f\/(f\/(f\/((f\/f**(-1))\/f*f)*f))*f*f)**(1\/47) assuming f is positive.\nAnswer: f**(-198\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 0.048.\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*f - 36 + 98, 2*o + 3*f = -247 + 219 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15142 and -0.03?\nAnswer: 454.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1b1?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**21)**25 assuming v is positive.\nAnswer: v**525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:53 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.22, 0.1, -2 in decreasing order.\nAnswer: 1, 0.22, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4) - (sqrt(4) + sqrt(48)\/sqrt(3))) + -2)**2 + -5.\nAnswer: 15\/4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1730 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12227209*n**2 + 121278242*n.\nAnswer: -24454418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) -3 (c) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-170)\/20 + (-140)\/(-40). Let a(v) = -v**3 - 4*v**2 + 10*v + 16. What is a(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 0 = -4*f - 3*p + 14 + 11, 3*f - 9 = p. Let u(g) = 2*g**2 + 12*g - 52. Let w be u(-9). Solve b*z = -f - w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:31 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4875, -11605, -22055, -38085, -61555, -94325, -138255, -195205?\n\"Answer: -310*p**3 - 4560*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:33 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*m - 4*s - 22, 0 = m - 4*s. Let u = 41 - 41. Suppose -4*p + 2*h + 17 + 9 = u, -p - 7 = -5*h. What is the highest common factor of p and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24377 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-10)\/(-58)) + -1*1. What is the highest common divisor of v and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b - 9*b**4 + 7*b + 10*b - 27*b wrt b?\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -839 - -1220. Let t = o + -376. Which is the smallest value? (a) -0.5 (b) t (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - -0.6. Let a = x - 0.36. Let b = -24 - -24.3. What is the nearest to -1 in a, b, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.07089 years in months?\nAnswer: 492.85068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + -7 - (237 - 218).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 36. Suppose -3*y - 2*y - t = -3*b, 2*b = 5*y + 5. Solve b = -2*n - 2 + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 14, 0.1, -5, -0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.3, 69\/8, -10 in increasing order.\nAnswer: -10, -0.3, 0.1, 69\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 63*c. Let y(v) be the third derivative of -v**5\/30 + 71*v**3\/3 + 18*v**2 + 181. Calculate y(b(i)).\nAnswer: -7938*i**2 + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49884, -99768, -149650, -199530, -249408?\nAnswer: -299284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24950289 divided by -3?\nAnswer: 8316763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2734964724.\nAnswer: 2, 3, 53, 4300259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20206 is divided by 721?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4170766, 4170765, 4170764, 4170763?\n\"Answer: -l + 4170767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j\/(j*j**(2\/7)*j))\/j))**(-5\/16)*(j\/(((j*j*j*j*(j\/j**(-1\/2)*j)\/j)\/j)\/j))**49)**(-12) assuming j is positive.\nAnswer: j**(41295\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 14. Let n be a(2). Let s be (-7)\/(-6)*2*12. Suppose n + s = c. 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: Is 28349*(8 - (-3 + 10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803 + 17*q**3 - 797 + 1600.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -23 + 21*v**2 - 4*v**2 + 7*v - 8*v**2 - 2*v**2. Is m(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/(-2*(-9)\/(-90))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-189))\/(4\/(-6)) - 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/6 + 2\/3. Let o = 0.73 + 0.27. Let m = -3 + o. What is the closest to 1 in m, -3\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 696149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y - 9. Let b be -2 + 2 + y\/(-3). List the prime factors of -13*(0 - (b + 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 2*l - 5. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 5*l. Which is the second smallest value? (a) 0.2 (b) 3\/2 (c) 0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 107. Let s(k) = -k**3 + 7*k**2 + 10*k - 90. Let r be s(6). Let d(g) = -r*g + g + 0*g + g + 3*g. Calculate d(b(m)).\nAnswer: 2*m - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/12, 10, 2, 4306?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -b - 29 - 25, 4*b - 3*g + 159 = 0. Let y = -37 - b. Suppose -3*v - 5 = -8*v, 243 = y*l + 3*v. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 82ca (base 16) to base 11\nAnswer: 23179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8148, -8140, -8134, -8130, -8128, -8128, -8130?\n\"Answer: -r**2 + 11*r - 8158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/12 + 2*v**3\/3 + v**2 - 2*v. Let y be t(-4). Let c be -2 + (2 - -23) + y. Solve -6*u + c = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by 168.\nAnswer: 167\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7544847469 - 1?\nAnswer: -7544847470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*a + 509 = 187, 0 = -5*o - a - 399. Let c = -81 - o. Sort -0.1, c, 1\/2.\nAnswer: c, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -659, 1, 3 in ascending order.\nAnswer: -659, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 21053?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.07 - 8.07. What is the closest to n in 1.8, -0.5, -3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**6 - 757*m**4*n**2 + 4*m**2*n + 65*m*n**2 wrt m?\nAnswer: 120*m**3 - 18168*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 3. Let t be d(0). Suppose -2*a + 2*f = a + 20, 3*f = -t*a. Let k(s) = s**3 + 3*s**2 - 5*s + 2. What are the prime factors of k(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/93 and -17\/32054685.\nAnswer: 993695235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4041 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 402, 4, -1 in decreasing order.\nAnswer: 402, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 6*f + 3. Let v be z(2). Which is the second biggest value? (a) -0.2 (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*o**4\/2 - 4865*o**3\/2 - 44315*o**2\/2 - 67515*o\/2 + 33075 = 0. What is o?\nAnswer: -315, -7, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + 390\/54. Suppose -55 = -v*l - 13. Suppose 4*r - 9 = 3*r. What is the remainder when r is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5*h**3 + 561*f**5*h + 2*f*h**3 - 229*f*h**2 wrt f?\nAnswer: 40*f**3*h**3 + 11220*f**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-33))\/2*1\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 2, y: 9}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 - l - 5. Give f(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4194 (c) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 24*k. Let c(y) = 11*y. Determine -4*a(h) + 3*c(h).\nAnswer: -4*h**2 - 63*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -29a?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/5 (c) 37\/10 (d) 0.1083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/8)\/((-5)\/50))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 3) to base 13\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*a + 12 = 0, -2*z - 4*a - 26 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 8*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(45))*2 - ((0 + sqrt(5) + sqrt(10)\/sqrt(2))**2 - sqrt(5)).\nAnswer: -20 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 374*d + 1533. Give w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = m - 0*t, 4*m - 2*t = -24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*2\/(-4)*8. Suppose -5*z + 38 = -k. Suppose -p + 34 = 21. Calculate the remainder when z is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*z - 1 = 0, -z = 2*m - 0 + 5. Let t(r) = -r**3 + r**2 + 1. Let o(l) = -3*l**3 - l**2 - l + 1. Let v(j) = -o(j) + 2*t(j). What is v(m)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/2*z**2 - 17 + 7*z. Let g be r(7). Solve 3*v + v + 20 = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let h(r) = 15*r + 42. Let x(s) = 4*b(s) + h(s). What is x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-3)\/((-42)\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**2*k))\/k**(2\/13)*k**(3\/4)*k*k**(6\/5))**(-13\/6) assuming k is positive.\nAnswer: k**(-69\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.01429389 rounded to five dps?\nAnswer: 0.01429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5033 + -5036. Which is the biggest value? (a) t (b) 43\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12578 + 8401 = 3*a, 5*h - 15 = 0. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29589 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3261*d**3 + d - 1379 wrt d?\nAnswer: -19566*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6044.61*1.4.\nAnswer: 8462.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 24405546\nAnswer: 2\/12202773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*c**2\/3 - 46*c - 10\/3.\nAnswer: 2*(c - 5)*(14*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -478\/3 - -161. What is the third smallest value in y, 1\/5, -0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, p: 2, o: 1, e: 3, b: 7}. What is prob of picking 2 p and 1 e?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019772129448 rounded to seven decimal places?\nAnswer: -0.0197721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + 8. Which is the closest to 1\/3? (a) -4 (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 22*g**3 - 3 - 2.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*m = n, 0 = 28*m - 17*m + 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13262 and 241508?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**2 - 57*q.\nAnswer: -3*q*(2*q + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/14*(-98)\/4. What is the units digit of n\/(-14)*(-1 + -69)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -2*p - 4*q - 132, 5*q - 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5708, -5, -2\/3?\nAnswer: -5708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/55, 30\/13, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*v + 16, 0 = 4*v - 0*b + 3*b - 14. Solve -v*t - 2 = -10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y. Suppose y*q = -3*q. Solve -3*k + k + 2 = q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102001 + 1?\nAnswer: 1102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-430)\/825*5*(-3)\/32. Let k = z - 1\/16. What is the fourth smallest value in -1, 3\/5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 62 = -44 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 1 - 2*j**2 + 0 + 0*j**2 + 3*j**2. Let f be g(-5). Suppose 0*k = k - f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/17476884 and -47\/34.\nAnswer: 17476884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 - 117. Let g = j - 48. What is the nearest to -2\/9 in -1, g, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (3 - -16 - 37)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - y - 3 = -5, -5*r - 3*y + 2 = 0. Let z be r*2 - (0 - 3). Put z, -4, 2 in increasing order.\nAnswer: -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5602296 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39276*u**2 + 2*u**3 + 2*u**3 - 39278*u**2.\nAnswer: 4*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -189*m - 1. Let f be p(2). Is (f\/(-3))\/((-1)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645\/(-3612)*3\/5*-2.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 + 964728*a - 3858944 = 0.\nAnswer: -482368, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Let p = x + -1. Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23646*o**5 + 8140*o.\nAnswer: 472920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srrssrrebebbcssssc. What is prob of sequence be?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -17*c + 20. Let o(f) = 17*f - 25. Let g(k) = -4*o(k) - 5*s(k). Let d(m) = 15*m**2. Give g(d(n)).\nAnswer: 255*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2454862*n**3*p*s**2 + 2*n**3*p*s + 1173*n**3*p - 2647*n**3 + 4*n**2*p*s**2 wrt s.\nAnswer: 4909724*n**3*p + 8*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/5 + 90*p**3 - 629474*p**2 - 90*p + 3147368\/5 = 0.\nAnswer: -1372, -1, 1, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(500)*-1 + 2*sqrt(500) + -5 + 1)**2 + 0)*-6.\nAnswer: -147096 + 3360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 2367057?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19 = -v, -l - 2*l - v = -11. Suppose 3*f = -l*u + 256, 5*f + 40 = u - 0*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6. What is the remainder when x\/(-3)*-3 + 48 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {r: 7, q: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 8 + 11 = 0. Let o be 56 - (2 + 5)\/r. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*h, -5*o - h + 2*h + 9 = 0. Let y be (o\/(-6))\/(2\/974). Let z = -81 - y. Sort -1, z, -0.3.\nAnswer: -1, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(-1 + 77\/88). Solve w*f = 17*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + 5 + (-31 - -23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 162365?\nAnswer: 4708585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 20. Let w(y) = 3 - y - y**3 - 8*y - b*y**2 + 4*y - 5*y**2. What is the tens digit of w(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -5 (c) -4 (d) -0.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:14 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967.048 centuries in decades?\nAnswer: 39670.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 4726 + 4598. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 1020564253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Which is the nearest to 1\/4? (a) -0.3 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 89*1*1\/3. Let q = -413 - -383. Let a = q + s. Is a greater than or equal to -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1338 + -91. Suppose 9023 = 12*c + g. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2335*o**3 - 2*o**2 + 1339*o - 19063661 wrt o.\nAnswer: -7005*o**2 - 4*o + 1339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8931 + 8928. Let b(n) be the first derivative of -14*n**2 + 19*n + 1. What is the hundreds digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - (-195090)\/(-4242))\/((-2)\/(-3)*12\/8).\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:30 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 5, 4\/7, -443, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 + 138*j**3 + 4140*j**2 - 148650*j + 144375 = 0. What is j?\nAnswer: -35, 1, 25, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - m**2 + 10*m**3 - 13 + 17 + 5*m**2 + 6*m**3 - 24*m**3 to j*m + p + w*m**2 + n*m**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*m + 2*m + 454, -2*u = 3*m + 221. Let n = 192 + u. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.04, -1, 4, -5, -7\/4070 in decreasing order.\nAnswer: 4, 0.04, -7\/4070, -1\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7055 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**2\/5 - 219657*z\/5 + 10983.\nAnswer: -3*(z + 18305)*(4*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 2157*k = 0. Calculate k.\nAnswer: 0, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 3*m**2 + 2. Let i be t(-3). Let h be (48\/(-12))\/((-10)\/i). Let v = 0.2 + -0.3. What is the second biggest value in v, -3, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2071420338 and 1.8159.\nAnswer: 1.6087579662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:20 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 65*s**2 + s + 2. Give d(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 0) + 2 + -12. Suppose 0 = 2*g + 3*g + 55. Let d = v - g. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.31600253\nAnswer: 0.158001265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -36. Suppose -m + 4 = -5*n. Suppose 31 = 5*w - n. Solve 3*h - 2 = w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2, 0, 0.062, -1\/7, -0.4 in increasing order.\nAnswer: -0.4, -2\/9, -1\/7, 0, 0.062, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1\/69 (c) -0.1 (d) -3 (e) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2382923 = -67*x + 2380779 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 0)*(-175)\/150. Solve 2*k - 3*b + n = 0, 4*k - b - 31 = -4*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2*(-3)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2444 is divided by 204?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 785 = -3*t - 5*d, 0 = -t + 3*d + 809. What is the greatest common factor of 60 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28450.\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*i + 209*i - 115*i + 138*i + 445*i as n + k*i and give k.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let g(y) = -2*y**2 - 5*y + 11. Let m(i) = g(i) - 6*v(i). Let w(k) = 2*k**2 - 3*k + 5. Let o(l) = 2*m(l) - 5*w(l). Give o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2415 and 6?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 4*m**3 - 9683. Let s(t) = 16*t**2 + 17. Determine s(u(v)).\nAnswer: 2304*v**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/18*(101\/7 + -5). Let x = o + -29. What is the fourth smallest value in -1\/2, x, -2, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*4\/16*-28. Let b(x) = -33*x**2 + 24*x + 21. Let d(s) = -8*s**2 + 6*s + 5. Let y(f) = r*d(f) + 5*b(f). Find the second derivative of y(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 0.36 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a**2*l**2 + 5*a**2 + 19*a - 2388*l**4 + l - 1 wrt l.\nAnswer: 10*a**2*l - 9552*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -6) + 39 - ((40 - -7) + -41).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/12 + 0)*-6. Let f be (-11 - (-12)\/y) + 0. Let c = -8 - f. Solve -4 = 4*z - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4089, -8145, -12199, -16251, -20301?\n\"Answer: a**2 - 4059*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753156 + 753156 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 - 5*r**4\/24 + 5*r**3\/6 + 9*r**2. Calculate the remainder when 35 is divided by m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2018217, 2018262, 2018307, 2018352, 2018397?\nAnswer: 2018442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 + -91. Calculate the highest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -843, -1413, -1979?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.1, -18.9, -0.3, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3123045 (base 7) to base 15\nAnswer: -76463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95.9421 + -0.2579. Round v to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 3704*a + 1242560.\nAnswer: 2*(a - 1412)*(a - 440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 - 27 = 0. Let f be 1 + -2 + 1 + z\/(-5). Let l(u) = u**3 - 3*u**2 - 5*u - 5. Calculate l(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 3*h)*(-2*h**2 + 0*h**2 + 6*h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 5*u + 4. Let o be w(5). Suppose i + r = 9, -6*i + o*i + 28 = 4*r. Suppose -i*c - 204 = -4*q, 2*c + 51 = q - c. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 8.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(156)*1)\/((sqrt(24) - (sqrt(48)\/sqrt(2) + sqrt(24)))\/sqrt(2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347 divided by -347.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5*-1)\/(-7 + (-3296)\/(-472)). Is 17 a factor of -5 - 0 - (-1 + (2 - d))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(2 - 3 + 2)*(3 - 3 - 2*y)*(2 - 4 - 1) + (1 - 2 + 6)*(-13*y - 49*y + 2*y)*(-1 + 0 - 1) to a*y + w and give a.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6.4, -25984, -2, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + j**2 + 2*j + 1. Let d be v(-1). Is 2\/33 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 23*v**2 + 18 - 9*v**2 - 15*v**2. Let x be -2 + 2 - (-1 + 1). Let u be a(x). Solve 4*p + u = 5*n, 0 = 5*p - 4*n - 0*n + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 < 1611\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {k: 6, y: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 187*r**2 + 255*r + 32283. Calculate u(-93).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let i be z*(41\/3 + -1). Suppose -4*y = -i - 22. Solve -2*l + 0*q = 4*q + 18, -l = 4*q + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 divided by 51?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.729 years to centuries.\nAnswer: 2.65729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-3969)\/(-7))*-171*-6.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -77804932.\nAnswer: -77804928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/39 at least as big as 1570658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66565 by 117.\nAnswer: -66565\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.946657 - 0.2.\nAnswer: -1.146657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10675122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73720062 and 7091?\nAnswer: 516040434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 684991 (base 12) in base 7?\nAnswer: 20112430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 3*m**4 - 5*m**4)*(0*m + m + 0 - 1) + (3*m**2 - 4*m**2 + 0*m**2)*(-2*m**3 + 0*m**3 + m**3).\nAnswer: -8*m**5 + 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9032965 to the nearest integer?\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 4*x + 3, 2*x + 3 = 3*g. Suppose 5*l + 8 = 3. Sort l, -2, g, -9 in increasing order.\nAnswer: -9, -2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 7*r**6\/180 + 163*r**5\/90 + 239*r**4\/18 + 40*r**3 - 5680*r**2. Find l, given that n(l) = 0.\nAnswer: -20, -2, -9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9871 divided by 7323?\nAnswer: 9871\/7323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -212 (b) 4 (c) 1 (d) -0.5 (e) 3\/10 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.56\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477631 to the power of 1\/2, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y. Let t(p) be the first derivative of p**2 - 15. Let f(h) = -3*h. Let o(a) = 2*f(a) + 5*t(a). Calculate o(i(k)).\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10676\/164405 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 0, 4*i = 3*p - 5 - 83. Let h = -16 + -17. Let f = i - h. What is the smallest common multiple of 22 and f?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-290)\/(-5) + (-2 - -3). Let k = w + -59. Solve 0 = -v - k + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000231312006 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t + 3. Let a = -654 - -654.3. Let r be (-4)\/(-6) + (-42)\/9. What is the third smallest value in a, t, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3184.999993603 - -3185. Round z to seven decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((78\/(-36))\/(-13)). Suppose -9*t = -31 + m. Solve -t*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 16428*i**3\/7 + 11121312*i**2\/7 - 300585*i\/7 + 2031\/7 = 0.\nAnswer: -677, 1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*b - 481*b**2 + 6*b + 480*b**2 - 2*b**3 as a*b**2 + k*b**3 + i + y*b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, t: 4}. Give prob of picking 1 h and 1 t.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Suppose -10*y - 22 = -g*y. Let d(x) = -x**2 - 15*x - 9. Is d(y) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3347 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88993241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 6565652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let a(m) = -m**2 - m. Let v(r) be the second derivative of 5*r**4\/4 + r**3 - 5*r. Let o(q) = -6*a(q) - v(q). Determine i(o(w)).\nAnswer: -81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -133 - (2 - 38) - (21 - 24)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*a - 5, 2*a + h - 2*h = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 6*l - 75 = 0, 2*l - 63 = 28*r - 16*r + 171 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 333220 and -0.1.\nAnswer: -33322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/(sqrt(2)*-2).\nAnswer: -sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 233.4618 years?\nAnswer: 23.34618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 - 2*g**2 - g + 2. Let v be z(1). List the prime factors of (v + 1)*133\/21.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/30 - 5*q**4\/24 + 4*q**3\/3 + 17*q**2. Let i(p) = -3*p**2 + 7*p - 12. What is 5*i(h) + 7*s(h)?\nAnswer: -h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -55 + 19*s + 168 - 84. List the prime factors of f(10).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*5 - sqrt(170))\/(sqrt(20)\/(sqrt(2)*2)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 14*f - 21*f. Let l(h) = 6*h**3 + 4*h. Let g(b) = b**3 + b. Suppose p - 3 = -0. Suppose -p*o + 8 = -o. What is f*l(n) + o*g(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, h: 10}. What is prob of picking 4 h?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (34\/(-48))\/((-177)\/(-20)) and 83\/6.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-10*(-1)\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, 0.21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 53*o**2 - 144*o + 10. Determine f(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 9. Let g = 0 + 2. Suppose -3*o - g*m = -5*m - 27, 0 = -o - m + 3. Calculate z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10427062 to the nearest one hundred thousand.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/2 + 293673544*h + 43122075222759968 = 0. What is h?\nAnswer: -293673544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 84. Let t = b - -31.000145. What is t rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 3}. Give prob of picking 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 20. Calculate the smallest common multiple of m and 7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + 0 + sqrt(468) + -3 + -1 + -1)**2.\nAnswer: -2345 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 1149, 1730, 2311?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41696719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqrqkqqxx. What is prob of sequence xk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -324933 bigger than -324933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 - 2 = 0. Let r = -5 - f. Let s(l) = l**3 + 5*l**2 - 4*l. Let i be s(r). Calculate the highest common factor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 2*g + 1. Let w = -7 - -8. Let q be a(w). Solve -4*i = 3*d, -i - q + 4 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.876 - 0.306. Let l = s - -0.43. Let k = -6 - -10. Which is the closest to l? (a) k (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r + 1. Let w be m(1). Suppose 1 = -3*v + w. Suppose v*b - 14 = 6. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/27 + 1815\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 5*w**2 - w**2 + (-4343*w + 2356*w + 2284*w)*((-w - w + 0*w)*(1 + 2 + 0) - 2*w + 5*w - w) to o*w**2 + x*w + t and give o.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.065194, 0.5, -5, -10, -3 in decreasing order.\nAnswer: 0.5, -0.065194, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**10\/15120 + k**6\/180 + k**4\/4 + k. Let n(p) be the third derivative of b(p). Find the second derivative of n(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0, 9975\/8, -1\/6?\nAnswer: 9975\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 3*p**5 - p**5 + (-5*p + 24*p + 13*p)*(-2*p**4 + 0*p**4 + 0*p**4) + (28 - 28 + 4*p**2)*(2 + 3*p**3 - 2) + 2*p**4 - 2*p**4 - p**5.\nAnswer: -56*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15ba77 (base 12) to base 10\nAnswer: 373051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 - 5)) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 13*h + 15. Suppose 5*o + h*t = 5, -2*t - 4 = 2*o - 3*t. Which is the closest to -2\/9? (a) -2\/5 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 - 1)*(-2 + 7 + 0)*(5*a - 2*a - 6*a).\nAnswer: 180*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/150*-5)\/((-12)\/486*3)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011000110 - 100?\nAnswer: 111011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c, -4*c = -2*m + 74. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41442013 (base 5) to base 7.\nAnswer: 2630055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132600 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3075, 6180, 9285, 12390?\n\"Answer: 3105*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3015 + -1931. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millimeter in micrometers?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 87 = -3*x, -x = -0*m - 5*m - 43. Suppose 4*k - 232 = -x. Calculate the greatest common divisor of 357 and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6207429 is divided by 2492?\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3193790.\nAnswer: 2, 5, 17, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.489 or 285?\nAnswer: -0.489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(11\/2)\/z)\/z*z*z\/z**(-2\/57)*z)\/(z**(3\/13)\/z**(-36)) assuming z is positive.\nAnswer: z**(-44009\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 384 = -3*r. Let q(a) = a**3 + 25*a**2 + 25*a + 25. Let c be q(r). Solve v + 0*v - c = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 16 + 34 + -17 + -10 + -2 + 38?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.2, 0.4, 2\/15, 9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 26\/(364\/210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*s**3*z**3 - 11885*s**3*z**2 + 7440*s*z**4 - 16*z**2 wrt z.\nAnswer: 594*s**3 + 178560*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 4*g = 13*r + 20, 9*r + 3*g - 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 3. Suppose -3*y + 2 = -5*y. Let h be y + (-12)\/(-2) + -3. Calculate a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 2*u = 41*q - 177 + 104, -q = -3*u - 106 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 405*p - 4059. Give y(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 1109360?\nAnswer: 12202960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22*(-1)\/6)\/((-58)\/(-7482)). Let w = 89 - v. Put -2, w, 3 in ascending order.\nAnswer: w, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412597.4 - 0.031.\nAnswer: -412597.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: a6aa9 (base 14) to base 12\nAnswer: 175091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1540)\/8)\/7)\/((-895)\/1074).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 106\/(-108))*(24 - 16). Let l(o) be the first derivative of 0*o + 1\/18*o**4 + 4\/45*o**5 - n*o**3 - 1\/9*o**2 + 6. Solve l(y) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3, -3*c - 715 - 395 = -3*i. Suppose 2*t - 144 = 2*p, -5*t - 3*p = p - i. Round t to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 593 + -598. Let i = 493\/5 - 99. Which is the fourth biggest value? (a) -0.5 (b) i (c) -9 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((-10)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 279 = 59. Suppose -7 = c + 3*f, 4*f = -3*c + 7*c - v. Suppose 0 = -4*w - 5*r - 10 + 36, -4 = -2*w + c*r. Solve -w*u = u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(1\/2)\/s)*s**(-3\/2)*s**(-1\/6)\/(((s*s**3)\/s*s)\/s)*(s*s**(-1)*s*s)**(-1\/6)*(s*s**(-1)*s)\/s*(s**(-2\/11)*s)\/s assuming s is positive.\nAnswer: s**(-81\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k - 15. Suppose 4*j - 4*b - 6 = 2, 5*b + 14 = 3*j. Let i be g(j). Solve -4*t + n = 5, 4*t - n = -i*n - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1331) + 2 - sqrt(1331))*-4 + ((-2 + sqrt(1331) - sqrt(1331)) + 4)**2 + (sqrt(1331)*-1 + 0 - (sqrt(1331) + 0)*1)**2).\nAnswer: -10640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23016\/588 + (-15 - -2). Is d at least 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 0.238253?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -143*f**2 + 2553. Let i(h) be the second derivative of h**4\/12 + 6*h. Determine i(d(r)).\nAnswer: 81796*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109.016 and 0.192.\nAnswer: -20.931072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -3*o**6\/50 - 3*o**5\/50 + 59*o**4\/60 + 2*o**3\/3 - 10*o**2 - 160*o. Let p(n) = 0. Calculate n.\nAnswer: -2, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*w - 132*w + 446*w in the form o*w + f and give o.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159213?\nAnswer: 3, 73, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2808)\/(-832) - (-6)\/(-16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -118*i + 6. Let u(x) = -39*x + 2. Let y(c) = 20*u(c) - 6*z(c). Let q = 5 - 8. Let d be y(q). What is the greatest common divisor of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 13 = t - r, 2*t + 2 = -2*r. Let l(f) = -f**2 - 6*f - 2. Let n be l(-6). What is the closest to t in 5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 19, -4, -5.53?\nAnswer: -5.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33254, -144456, -329784, -589232, -922794?\nAnswer: -1330464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*v + 74, 3*x = -4*v + 474782 - 474839 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.36 + 0.04. Let q be (-1 + (-15)\/(-12))*2. Which is the closest to -2\/3? (a) q (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195419995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425.5 take away -5.3?\nAnswer: 3430.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdzdtddvvtdtlrt. Give prob of sequence zr.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2767 = 5*u + 2148. Let f = -561 - u. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1050*j + 1153*j - 2214*j. Let i(q) be the third derivative of -7*q**5\/60 + 6*q**2. Determine s(i(g)).\nAnswer: 77*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 3*a + 4. Let t = -62831\/24 + 2618. Let v(l) be the third derivative of -l**2 - t*l**4 + 0 + 0*l - 1\/3*l**3. Determine -2*g(p) - 5*v(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 18862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*(-14)\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:00 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, 17, 86, 135, 158, 149?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 31. Let o = -10 - q. Let a be (-51 - -50)\/(2*(-1)\/(-6)). What is the biggest value in o, -0.2, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from gglfxyx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, 0.039.\nAnswer: -18, -3, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g - 1196. What is i(-82)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19614530*g - 7317222 wrt g.\nAnswer: -19614530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 212122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(6\/29)*i**(-33)*i assuming i is positive.\nAnswer: i**(-905\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21000 + -123222203?\nAnswer: -123201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -1\/20*d**5 + 0*d - 1\/24*d**4 - 2\/3*d**3 + 20*d**2 + 0. Let p(m) = 3*m**2 + m + 5. Give 5*f(s) + 4*p(s).\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34*207\/(-4692))\/((-111)\/(-4))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {u: 3, e: 1, i: 5, w: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3, -1\/6, 3\/47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 242544299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00643259 to five dps.\nAnswer: 0.00643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*r - r**3 + 3*r - r**4 + 2 + 2*r**3 to the form b*r + a*r**2 + l + g*r**4 + i*r**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223637006 rounded to 3 decimal places?\nAnswer: 0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:14 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*u = -25, 4*u + 4 + 1 = -r. Let g be (-13)\/((-26)\/(-1683990)) + r. What is g 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 smallest value in -2\/9, -2, -10, 1, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*x - 8, 59*r + 41*r - 1210 = 5*x for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2386, -2100, -1616, -928, -30, 1084?\nAnswer: 2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5915306511166 - 4?\nAnswer: -5915306511170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (sqrt(200) - (sqrt(200) + -5 + -2*sqrt(200))) + sqrt(200) + sqrt(200)*1 + -5)**2.\nAnswer: 240*sqrt(2) + 3209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*s = -1020, -z + 1422 = -5*s + 400. Let c(v) = 3 - 1024*v + z*v + 4 + 17*v**2. Calculate the smallest common multiple of 5 and c(1).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**8\/28 + j**4\/6 + 4*j + 3. Let s(f) be the first derivative of o(f). What is the third derivative of s(y) wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 55 - 2*o**4 + o + 52 + 10*o**3 as s*o**2 + v*o + y*o**4 + x*o**3 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 6*z**2 + 7*z - 3. Let f(v) = 5*v. Let y be f(1). Is b(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573*f - 1741 - 352 = 1757*f + 6923 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*l - 122*l + 5*h + 5 = 0, -4*l - h - 16 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*(sqrt(363)*2 + -2 + sqrt(363) + sqrt(363)*2*3) + -3))**2*-3 + 4.\nAnswer: -2205368 + 20790*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306 + -134. Calculate the greatest common factor of 13932 and h.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735 (base 12) in base 5?\nAnswer: 223321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8499 - 8499 - 991*q**2 to m*q + b + x*q**2 and give x.\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 91?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42205434 (base 6) to base 8\nAnswer: 4542036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 175407317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/7, 1522, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 - 12*i + 4. Let d(z) = 7*z**3 + 11*z - 3. Let c(g) = -4*d(g) - 3*q(g). What is the second derivative of c(r) wrt r?\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3033 (base 5) to base 13\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 2, k: 1, d: 1}. Give prob of picking 2 q and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*72\/936*1*-3.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80227610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 13 + 14 = 0. What are the prime factors of (-2 + 4 - -27)\/q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20435307199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2650)\/1484 - (22 - 24)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 152. Calculate the greatest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5039 by 4.\nAnswer: 5039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -46*p + 1\/18*p**4 + 13\/9*p**3 + 0 + 14*p**2. Suppose r(w) = 0. What is w?\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 79*b**2 + 142*b - 51. Let w be s(28). Put w, 240, 0 in increasing order.\nAnswer: 0, w, 240","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -3a3?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 251*p + 42553. What is k(-95)?\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12150.95137 + -12151. What is h rounded to three decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8196883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65971 take away 8?\nAnswer: 65963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-23 - 16) + 17 - -12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.21833 to one dp.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:05 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6818*z. Let k(m) = -m**2. Determine k(a(w)).\nAnswer: -46485124*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 0, -b - 5 = 3*h - 23. Let k(f) = -f**3 + 6*f - b + 2 - 12*f**2 + 4*f. Is k(-13) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 8*l**2 + 10*l - 5. What is y(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 3. Let r be s(5). Let p = r + -2. Suppose -p*i = 5 - 35. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481150951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121239 divided by -6?\nAnswer: 40413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 64*w**2 + 12*w - 7. What are the prime factors of a(2)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 52 (b) 58 (c) -4\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 + 17*h**2 + 5*h + 6. Let q(p) = -5*p**3 + 17*p**2 + 6*p + 7. Let g(k) = -5*q(k) + 6*w(k). Let n be g(-17). Let f = 1 - n. Is 1\/13 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k = 4*p + 75, -3*k + 5*p + 45 = 0. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/5689 or 0?\nAnswer: -11\/5689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1375 (base 9) to base 5\nAnswer: -13130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 60, 4, -6, -7 in decreasing order.\nAnswer: 60, 4, 3, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 274*d - 6823. What are the prime factors of p(27)?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-20)\/8) - -371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562651.\nAnswer: 562651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*q - 66 + 66)*(-1 + 0 - 1)*(-1 + 0 + 3)*(0 + 0 + 2*q)*(0 - 1 - 1) as p + b*q**2 + u*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let j be t(1). Let c be ((-6)\/10)\/((-3)\/15). Let q be (1 - -1)\/(4 - c). Solve 0 = -2*l + q*i, l - 5*i = j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 + 265. Find the third derivative of 2*x**2 + 27*x**s - 2 + 3*x**2 + 92*x**5 + 54*x**2 wrt x.\nAnswer: 5520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3) - 104\/(-3)) + 2. What is the lowest common multiple of (d\/(-3))\/(4\/(-24)) and 16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 - -1.4. Let u = 20 - s. What is the third smallest value in 5, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:54 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 305\/60 + 2\/(-24). Solve u = -5*m, 0*o - 4*o = 2*m + 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/4571 and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32386061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/2 - 512428*g - 131291227592 = 0.\nAnswer: -512428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57852210 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 5*t**2 + 3*t + 5. Let l be u(4). Let p = -3.7 - 1.3. What is the third smallest value in -3\/7, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 3*c**3 - 6*c**3 + (-2*c + c + 2*c)*(0*c - 2*c**2 + 0*c) + 2*c**3 - c**3 + c**3 + 51*c**3 - 86*c**3 - 124*c**3.\nAnswer: -161*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221 + -3?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 + 9*i + 6. Let a be u(10). Let p = 138 - a. Calculate the highest common factor of p and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 5)\/3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0 (b) -92 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428732?\nAnswer: 2, 107183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 275*x - 94906. Calculate o(345).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 11) to base 3.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s + 6. Let g(k) = 38153*k**2 - 2. Determine l(g(w)).\nAnswer: -419683*w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1874 + -1875. Let k(v) = 3*v**3 - 3*v - 5. Let i(n) = -n**3 + 1. Determine x*k(q) - 5*i(q).\nAnswer: 2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.14 - -0.14. Let j = 7.9 + k. Let r = j + -0.1. Which is the biggest value? (a) -3 (b) r (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -18*w + 0 - 2*w**3 + 5\/2*w**2 + 1\/6*w**4. Does 17 divide v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (298 - 287) + -33 + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126, 253, 382, 513, 646, 781, 918?\n\"Answer: m**2 + 124*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 153*m**2 - 4 + 153*m**2 + 12*m + 158*m**2 + 159*m**2 - 624*m**2. What is y(14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/9 + (-22)\/99. Let i = u + -8. Suppose 0*h + h - 31 = i. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3 - 1030*z**2 - 50400*z = 0.\nAnswer: -45, 0, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39317*b - 19820?\nAnswer: -39317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*z + 453 = -5*o, 2*o - 1274 = -3*z. What is the first derivative of z + 53*f**2 - 526 - 3*f**2 + 55*f**2 wrt f?\nAnswer: 210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8*k - 5*k = -45, 0 = 4*m + 4*k + 28. Let d be m + -1 + ((-9)\/3 - -4). Let p(l) = -l - 23. Give p(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8180\/(-188140)*46\/(-65)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6886 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 - -143. Suppose -r*i - d = -6*d - 350, -3*d = -3*i + 534. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t + 127 - 402 = -m, 2*m = 3*m - 291*t + 295*t - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926028205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 5*u - 248 = -98*u. Suppose 2\/9*l**u + 8\/3*l + 8 = 0. Calculate l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 303 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24.47018 centuries?\nAnswer: 2447.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14318, 28637, 42956?\nAnswer: 57275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12796 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 8) to base 16\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8585\/(-10))\/((-35)\/(-10) + -4). Calculate the highest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484.349 - -522.29. Let x = v - -0.059. Let p = 37.9852 - x. What is p rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 4*n = -47*z + 83, -3 = 3*z + 38*n - 35*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/254942 and 29\/19?\nAnswer: 254942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*t - 303*t + 172*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5. Let l be 10\/(-15) + (-6)\/(-4). What is the nearest to -0.1 in l, 9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-612)\/(-2244)*8\/(-6)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:16 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 25\/5) + 6. Let x(k) = 0*k - 15 + 0*k - a*k + k. Determine x(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188529 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000611522 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 17*l - 30. Give f(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-8854)\/418) + (-87)\/55.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/2 - -15. Let a = 6 - 10. Let p be 0 - 1 - (-27)\/24. What is the nearest to -2\/5 in a, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (629\/(-34) + 18)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2609875*m**4 + 21426868*m wrt m.\nAnswer: 31318500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 - 3. Let z be l(3). Let g(v) = 8 + 33*v + 38*v - 69*v. What is the remainder when 99 is divided by g(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j + 168. Let l = j + 100. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -5. Suppose -p - y - y + q = 0, -5*y = 5*p - 45. Solve k + 4 - 1 = -n, p = 2*n - 4*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, -1\/9, 0.0406, 4\/7, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 13*o - 12. Let k be b(12). Let r(v) = k + v**3 + 34 + 9. What is the tens digit of r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45130870.\nAnswer: 2, 5, 59, 76493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2971 + -2941. Let m = -38 + 62. What is the least common multiple of v and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 2*y - w - 6, 5*y = -2*w + 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 399\/8. What is the biggest value in f, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 bigger than 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1913 = -10*m + 117. Let y = -601\/3 + m. Suppose y*a + 2\/3*a**2 + 8\/3 = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12 + 86\/8. Suppose 8*y - 147 = z*y. Is 14\/y - 405\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let b(y) = 2267*y. Calculate n(b(a)).\nAnswer: -2267*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(-3 + sqrt(448) + -2 + -1*sqrt(448) + sqrt(448) + -4 + (sqrt(448) - ((sqrt(448) - (sqrt(448) + -1)) + sqrt(448))) + sqrt(448)))**2.\nAnswer: -384*sqrt(7) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*p + 5*p**2 + 56*p)*(-22*p - 2 + 18*p + 22*p).\nAnswer: 90*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 10 - 6)*(-13 - 11*z + 13).\nAnswer: -132*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x + 4*m + 372 = 0, 0 = 5*x + 3*m + 374. Let a be x\/(-28) - 2\/(-7). Solve a*y - 3 = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -13. Let p be 550\/i*(2 - 4). What is the greatest common factor of 165 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - g**2 + 3*g + 3. Let k(h) = h**3 + 2*h**2 - 3*h - 2. Let r be k(-3). Let n be y(r). Is n >= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/119, 3, -2, 0.036393?\nAnswer: 0.036393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5\/2 (b) -0.12 (c) -18 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1520\/(-720))\/(19\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 4*g + 6. Let x be v(-3). Let a(u) = 2*u - 17*u - 3*u + x*u. Let t(c) = 4*c + c - 4*c. Determine a(t(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49937, 99784, 149631, 199478, 249325, 299172?\nAnswer: 349019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1568, -1580, -1606, -1652, -1724, -1828, -1970, -2156?\nAnswer: -2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 2*u - 2*u**2)*(240*u - 1491 + 1491) + 3*u**3 - 6*u**3 + 2*u**3 in the form j*u**3 + z*u + i*u**2 + s and give j.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**5\/9 - 2*n**4\/3 + 4*n**3\/9 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Suppose n*x - 70 = -128. Let z = 14\/339 - -18152\/3729. Calculate the common denominator of x and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 663, 662, 661?\n\"Answer: -f + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 + -0.31. Which is the nearest to 0? (a) o (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 601, 1270, 1939, 2608, 3277, 3946?\n\"Answer: 669*k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:31 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1785 - -0.0315. Let z = 36 + -395\/11. Let d = 7\/44 + z. Put d, f, 1\/3 in increasing order.\nAnswer: f, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 56. Calculate the greatest common divisor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9394 + 6702 = 0. Suppose -17300 + c = -4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 5959?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11796 divided by 4?\nAnswer: -2949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-8)\/(-480)*10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3 - 7*v**2 + 7072*v. Give o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 593, 444?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5498 - 0.0498. Let u = -2\/105 - 19\/105. Which is the biggest value? (a) -0.4 (b) j (c) -8 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5536, -22183, -49922, -88747, -138652, -199631, -271678?\nAnswer: -354787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuum when four letters picked without replacement from uomuoaahhuoakm.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 606 - 598. What is the remainder when 62\/(1\/(3\/2)) is divided by ((0 - -3) + -24)\/(g - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49726.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 73 = -67. Let w be 27301*u - 0\/(-4 + 7). Suppose 4*j - 2*p = -29598, 0 = 5*j - 3*p - 17605 + w. What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -798.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 126b1541 + -3?\nAnswer: 126b153c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. Calculate the common denominator of m\/9 + (-788)\/180 and 1463\/220 - -1*(-5 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117031198 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/11, 4, -2, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 123 + -1*(4 + (0 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + 194. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206 and -0.4.\nAnswer: -82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524 - 169 - 182 + 18*u**3 - 16*u**3 - 173.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 128 - 0?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 5 = -40 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Let g(m) = 15*m + 4. Calculate -g(b) - 4*i(b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (74 - 71)\/(3\/284). What is the highest common factor of w and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*30\/45)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302032*g - 302015*g + 493 = 0 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 4980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:19 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000273151 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209363 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*q - 5*q**2 - 5*q - 2*q**2 - 7*q**2 wrt q.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100913075 to five dps.\nAnswer: 0.10091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-4))\/(38\/133*(-14)\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-4) + -5)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((136\/(-12))\/(-17))\/((-2)\/(-39))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*t - 118 = 0, t = -0*t - 1. Suppose v = 3*q + 1, 0*q + 4*q + 4 = 4*v. Let h be q - 76\/y - 1. Is h <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let g be 2\/7*(-14 + 21). Suppose -i = -g*i. Solve v*o + 0 + 4 = i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -72 (b) 0.02 (c) -0.01 (d) 6953\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-12))\/((-142)\/(-6)). Let i = w - -165\/3266. Let l = 55\/207 - i. What is the nearest to 6 in -3, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 14) + (-17 - -21) + -6 - (68 + 1).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m + 2. Let q be h(3). Let p be 39\/(-6) + q\/4. Is -2 - (-30)\/(p\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 680*x**3 - 12*x**2 + 2*x - 10. Let w(f) = 3*f + f**3 - 2 + 3 + f**2 - 2*f. Let j(z) = b(z) + 5*w(z). Let p be j(-9). Round p to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*n = -30, -2*n = 5*y - 4*n - 56. Suppose 0 = -3*o + 34 - 28, 7*q + 3*o - 139 = 0. Calculate the remainder when q is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91628 * 8.\nAnswer: -733024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 5023*i**7\/7 + 5807*i**3\/3 + 7927. Find the third derivative of w(g) wrt g.\nAnswer: 602760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048736797 to 6 decimal places.\nAnswer: -0.004874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -196 and 7.7?\nAnswer: -1509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11385850 - 1?\nAnswer: -11385851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -27*q**2 - 249*q + 156. Give v(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27241*u**6 - 186579*u**2 - 2.\nAnswer: 3268920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 32 = 5*n. Let j = n + -8. Is 0 + (-3)\/2*j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*a + 188. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 50) + 9 - -23\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(1 + 2 - 1) + 1 + 3 - 2)*(h - h + h**4)*(h + 3 - 3).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.09717388 to 2 decimal places.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -22, -0.9183 in descending order.\nAnswer: -0.9183, -22, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*((-52)\/(-14))\/(10\/70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -159. Does 1\/28 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 10*y + z = 17, -z - 7 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o + 22. Let k(q) = -252*q - 30. Determine c(k(r)).\nAnswer: 1512*r + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260949589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {y: 3, q: 2, r: 1, f: 1, u: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = 2*f - 50, 42 = 2*f - 4*u. Suppose 0 = 4*t + 5*r - 260 + f, 4*t + 2*r - 226 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**3 - x**2 + x. What is b(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8077.\nAnswer: 1\/8077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*g = 14726143 - 14730463 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = n + 2*n - 5*u, -u = 5*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -0*h - 4*h - 9, -3*h - 3 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4 - 2*u**3\/3 - u**2\/2 - 11. Determine l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15018, 15014, 15008, 15000, 14990, 14978?\nAnswer: 14964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 87, 164, 313, 558, 923, 1432?\n\"Answer: 4*p**3 + p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*2252.\nAnswer: 191420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4845.699 + 7.301. Let s = -4853.014854 + n. Let m = s - -0.015. What is m rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*m - 6, 5*r + 0*r = -5*m + 45. Suppose -m*t + 72 = t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-182)\/(-26) - (1 + 587\/103) and 53\/11.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-30) - -1)*(0 + 1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.23 - 0.23. Is -3\/2 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476 - 473. Solve 0 = -2*a + m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -291*g + 2300. What is l(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n*n**1*n)**(2\/29) assuming n is positive.\nAnswer: n**(-2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*p + 9, 48*n + 15 = 47*n - 5*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(-2*(sqrt(9) + (sqrt(9) - sqrt(36)\/sqrt(4)))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321*t**6 + 8*t**3 + 338*t**5 - 6*t**2 - 338*t**5 + 6*t + 323*t**6 wrt t.\nAnswer: 240*t**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 840 - 5790 = 226*f for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -170313, 0.6, -0.2 in decreasing order.\nAnswer: 0.6, -0.2, -3\/4, -170313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/54*p**4 + 2\/27*p**3 + 0*p**2 + 3*p - 1\/90*p**5 + 0. Suppose t(w) = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3925 to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9001 is divided by 600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 6. Let q be p(7). Let t = 5 + q. Suppose -t*h + 0*h = -20. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12316*m**3 - 6157*m**3 + 2 + 0 + 26*m**2 - 6158*m**3 + 0. Let c be (-4)\/6 - 76\/3. Calculate l(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 9*j**2 - 28*j + 329. Give h(9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3208955 to the nearest 1000.\nAnswer: 3209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 - 6*u**3 - 18*u**2 - 2?\nAnswer: -48*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -65587*x - 469. Is s(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 2*k + 164517 - 164525, -2*k + 5*w + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(2299) + -4 + sqrt(2299)*-2 + -6*(sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 1))))*4) + -4.\nAnswer: -26 + 616*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -0.4, 325?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92931627*l**3 - 2*l**2 + 368365112 with respect to l.\nAnswer: 278794881*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 87 + 7)*(-44*z + 18*z - 75*z).\nAnswer: 8787*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x = -4*t + 67, -t + 2*x = -10. Solve 4*n - t = 4*c - 40, -n = 2*c - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 61756*w\/5.\nAnswer: -2*w*(w - 30878)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a factor of 2867897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/(9 + 875\/(-98)) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1600 = 25*y - 29*y. Suppose 554 = 3*d - y. What are the prime factors of d?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 4*f**3\/3 - f**2\/2 - 3*f. Let g be s(1). Let b(y) = -g + 7 + y. Calculate b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347430 is divided by 7953?\nAnswer: 5451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 1371237?\nAnswer: -1371203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -89*-0.15\nAnswer: 13.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5256, 74, 2 in decreasing order.\nAnswer: 74, 2, -3, -5256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*z - 877*z = -2261*z + 103285 for z.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 19.00042. What is b rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7584861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/1276 and -28\/1363.\nAnswer: 59972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 0 + 1515 + -1468\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*t**2 + 395*t**2 - 782*t**2 + 50*t**3 - 60*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = 6*k + 23. Let v = k - -58. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140.9 + 141. Sort k, -4, -0.05 in decreasing order.\nAnswer: k, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4, 0*l - 21 = -4*l + 3*q for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78.1000331 - 78.1. What is t rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 16*n**2 - 17*n - 3. Let i be t(17). Let g be ((-975)\/20)\/(i\/8). Let o = g - 18. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 41535*b**3 + 128957625*b**2 + 105006874875*b.\nAnswer: 3*b*(b - 7255)**2*(b + 665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -29 - 7*d - 6*d + 16*d. Let c(j) = -6*j + 57. Let z(h) = 6*c(h) + 11*l(h). Differentiate z(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -44 - 21 - 34?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-five eighths of a kilogram?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*-1*32\/(-2240)*-20.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1552 + 4?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*k - k. Suppose 0 = 3*g + 2*g - 30. What is the smallest common multiple of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 20*x + 1. Suppose -3*o + 11 = -k, 4 = -k - o + 9. Let d be w(k). Let m = -19 + d. Solve -3 - 3 = m*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(4*(sqrt(80) + sqrt(5))) + sqrt(24)\/(sqrt(32)\/sqrt(4)) + (-1*sqrt(33))\/sqrt(11).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 5*w**2 - w**2 + (2 - 2 + w)*(-2*w + w + 0*w) + 25*w - 25*w - 6*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (-11 + -18 + 38).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 3*s. Suppose s*d - 13 = -1. Suppose r + 4*n + 30 = 0, 4*n = 3*r + 6*n. Solve r = -g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-4))\/(50\/12 - 4))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230431515 - 0?\nAnswer: -230431515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8222612 rounded to the nearest ten thousand?\nAnswer: 8220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**2 + 2570*f - 3208. Calculate j(-235).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000168014 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + (-18252)\/(-182). What is the highest common divisor of d and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(-2)*(-8)\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3 and 22\/2391771.\nAnswer: 2391771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 6. Suppose -z = -2*i - 2, 4*z - 4*i - 5 = 19. Suppose b = -b - z. Let q be m(b). Sort q, 0, -3 in descending order.\nAnswer: 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and 3.64?\nAnswer: 254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -17.5942125?\nAnswer: -32.5942125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-141)\/(-15) - (140\/(-25) - -5). Let t be 56\/16*r\/7. Solve l - 8 = -2*i, 4*l - 3*l + t*i = 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o + 899450 = -62*o. What is o rounded to the nearest one thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 9391.7, 2 in increasing order.\nAnswer: 0.2, 1, 2, 9391.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 3, b: 1}. What is prob of sequence www?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1295.\nAnswer: 2\/1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2573*5.\nAnswer: -12865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 27*f**3 + 141*f**2 - 189*f + 78.\nAnswer: -3*(f - 2)*(f - 1)**2*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304471 is divided by 173.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-3\/7)*x*x))*x*x*x\/x**(-4))\/(x**(2\/7)*x*x**(-2\/7))*(x**(-2\/3)\/(x*x**(-1\/10)))\/(x**(-5)\/(x\/(x**(-6)\/x))) assuming x is positive.\nAnswer: x**(4201\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 9 = 20*a. Calculate the highest common divisor of a and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -595*h - 3*h**3 - 573*h + 0*h**3 - 39*h**2 + 1048*h = 0.\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 12 - 2. Let x(c) = -13*c**2 + 2*c. Let u be x(j). Let v be (-1 + 76)\/(1\/u). Round v to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 401*q**4 - 2 + 926*q**4 - 214*q**4 - 2*q**2 - 2*q**3 + 135*q**4 to the form h*q**2 + a + o*q**3 + r*q**4 + d*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17564 = -443*x + 29525 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*x**2 - 96 - 4*x - 92 + 50 - 38*x**2 + x wrt x.\nAnswer: -76*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 u when four letters picked without replacement from uuwuwuwt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 1, z: 13, o: 1}?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391 + 390.725. Let v = 0.27500085 + j. What is v rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -3.1\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15901 + 15902. Let x(k) = 4*k**3 + 2*k**2 - 2*k. Let t(i) = 2*i**3 + i - 2*i**2 - 3*i**3 + i**2. Give j*x(u) + 2*t(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -0.344?\nAnswer: -5.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 148\/14 - 20\/35. Suppose -1072*u + w = -1075*u. Sort u, 0, -19.\nAnswer: -19, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26086, 53219, 80352, 107485, 134618, 161751?\n\"Answer: 27133*r - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*b - 18194, -4*u + 9*b = 12*b - 36386. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1123 - -9017\/8. Let v = 54029\/14 + -3857. Calculate the common denominator of q and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 - 75517352*b**3 = 0.\nAnswer: -37758676, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4284306*t = -4284221*t + 1445 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-32)*-3 - (-30634)\/83232?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8178 - 10?\nAnswer: -8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5807.75 - -32.9?\nAnswer: -5774.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.797 + 14.897. What is the third smallest value in u, 203, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1998 - 11759.50704\nAnswer: -13757.50704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let r = 334 + -1001\/3. Which is the nearest to -2? (a) u (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + x + (-2 - 2 + 6)*(-3 + 3 - 2*x) + (2*x + 0*x + 0*x)*(-2 + 3 + 2).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, t: 5, m: 4}. What is prob of sequence utt?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h - 29. Let b(w) = -7*w + 10. Let s(m) = -17*b(m) - 6*r(m). Let z be s(-6). Let f(n) = n - 10. Let y be f(z). Solve y*o + 8 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -60. Let k = 9 - 5. Solve -u - k = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 7 = j - w, 0 = j + 4*w + 13. Suppose j*k + 0*k - 24 = 0. Let h = 0 + k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 51*m + 391 = -52*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520 by -409.\nAnswer: 520\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31296, 250283, 844666, 2002143, 3910412, 6757171?\nAnswer: 10730118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260 - -257. Let s(h) be the first derivative of 8*h**3\/3 - 4*h**2 - 22*h - 3. Is 6 a factor of s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffftfttffftfffftff. What is prob of picking 3 t and 1 f?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 19. What is l(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/27905 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 219, 437, 655, 873, 1091?\n\"Answer: 218*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 9*t**2 + 1. Let g be v(-7). Find the common denominator of -47\/9 and (-1 - 0)\/(-7 + (-683)\/g).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253625\/96 - -2642. Let j = 3\/32 + y. What is the closest to -1\/4 in 1, -5\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 4590*x**2 - 5*x - 2356*x**2 - 2314*x**2.\nAnswer: -80*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6596 by -1203.\nAnswer: -6596\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*z)*(-2 - 3 + 7) + 3*z + 2*z - 2*z + (-7 + 3 - 5)*(4*z - 2*z - 3*z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 22 - 26 = 0. Suppose -1 = -2*p + 3. Is x equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + o + o + 0. Suppose -3464 = -9*z + 127. Let g(s) = -198*s + z*s - 205*s. Give j(g(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 252, 10, -574, -4, 2.\nAnswer: -574, -4, 2, 10, 11, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 43. Let t = l - 8. Let r = -0.03 - 0.27. Put r, 0.4, t in increasing order.\nAnswer: r, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1584, -1583, -1582?\n\"Answer: o - 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4445\/9 - -494. Let z = 6.4 + -6. Sort z, x, -4 in descending order.\nAnswer: z, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 37*l = -60280. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2\/2 + 9*t + 1. Let w be q(-7). Suppose -3*d = -w*d. Let c(u) = u**2 - u - 4. What is c(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 88 = -2*w. Suppose 3*s + 21 = -3*y + 6*y, -2*y + w = -4*s. Solve y*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/406)\/(1*3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 2\/7, -4, -0.034, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00332617 rounded to five dps?\nAnswer: 0.00333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/2)\/d**4*d**1*d*d*d**6\/d assuming d is positive.\nAnswer: d**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d = -27*d + 37*d - 2025 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by ((1740\/24)\/29)\/(1\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337*a + 17*a**2 - 2*a**5 + 2*a**3 + 0*a**5 - 2*a**3 wrt a?\nAnswer: -40*a**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + -3 + 13 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 10*r**2 + 6*r + 3. Let p = -30 - -21. Does 12 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.4 - 5.6. Let q = p + 13.7. What is the nearest to -1 in 0, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k. Let b(p) = -18*p - 12. Let a(h) = -b(h) - 4*v(h). Let n(t) = -t. Give a(n(m)).\nAnswer: -2*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 + 1.7. Let b = u - 8.11. Let l = -0.49 + b. Round l to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211104 and 19296.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = 2. Suppose 11 - 1 = 2*n - 3*o, -4*o = x*n + 18. Let t = -41 - -121\/3. Which is bigger: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f. Let s(p) = -571767*p**2. Give v(s(w)).\nAnswer: -3430602*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(700)*5 - sqrt(700) - sqrt(700)) + sqrt(700) - -2*1*sqrt(700))*-4 + 5)**2 + -3)*-5.\nAnswer: -2016110 + 12000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 + (-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440505 and 101205.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120222130 (base 4) to base 14.\nAnswer: -28b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23129819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216.72 - 216.52. Which is the fifth smallest value? (a) 2\/3 (b) v (c) 86\/5 (d) -1\/4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4654, -9, 1\/9, 1\/3, 0.5, 2\/9, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-63) - (2378\/(-87))\/(-41)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 17. Which is smaller: 43\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -566501, -566524, -566561, -566612, -566677?\n\"Answer: -7*f**2 - 2*f - 566492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -820, 0.2, -0.2 in descending order.\nAnswer: 0.2, -0.2, -820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13 <= 52068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/6 + 2*z. Let f(m) = -m + 3*m - 7*m + 4*m. Determine f(c(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -18*i + 23*i. Let n(p) = -2*p**3 + 5*p**2. Let q(t) be the third derivative of t**6\/60 - t**5\/15 - t**2. Calculate i*n(c) - 5*q(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/2 (b) -1\/2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -23. Let t = -100.15 - w. Let y = 1.04 + t. Which is the second biggest value? (a) 3 (b) y (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8718*d + 3 - 8717*d + 3. Let x(p) = -3. Let j(m) = -2*u(m) - 3*x(m). Let r(g) = 1. Give -2*j(b) - 6*r(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21075 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/52 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 49*h**4 + 6*h**3 - 104*h**2 - 3. Let d(r) = -48*r**4 - 8*r**3 + 103*r**2 + 4. Let t(m) = -3*d(m) - 4*y(m). Find the third derivative of t(s) wrt s.\nAnswer: -1248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1377)*2*-2)**2 - (sqrt(1377) - (-4*sqrt(1377)*-2)**2)))*-4 + -4 + 0.\nAnswer: -440664 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 5) to base 7\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/8 - 2*b**3\/3 + 2*b**2 + 4. Let n(l) be the second derivative of v(l). What is n(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 13*m + 3. Let u(z) = 6*z**2 + 22*z + 6. What is -3*u(k) + 5*w(k)?\nAnswer: -3*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 20*i - 13*i. Let l(h) = -14*h**2. Give l(w(y)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + m = 23, 4*c = 3*m - m - 26. Let i(v) = -v**2 - 4*v. Let j be i(c). Let d(f) = -14*f - 16. Let k be d(j). Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -654 + -10244?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -8339\/7237 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8440 is divided by 782.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 60 (b) 4 (c) 2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153\/2 + -78. Let o = 39 + -35. Suppose 5*n - 25 = -2*x - 6, 2*n - o = -2*x. Which is the nearest to -4? (a) k (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:50 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**39)**(-10) assuming d is positive.\nAnswer: d**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15840717919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, l: 4}. Give prob of picking 1 d and 3 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -0.04. Let j be ((-23)\/207)\/((-1 + 3)\/24). Which is the closest to -2? (a) 4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34882314 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 545177 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**4 + 3*r**2 + 4*r. Let s(h) = h**2 + h. Let d(k) = k**2 - k. Let q be d(-3). Let x(m) = q*s(m) - 3*p(m). Find the third derivative of x(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 21. Solve -7 = -i + 3*r, 5*r + o = -i - 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:13 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let d be j*(-141)\/19 - 2. Let h = 1097\/57 + d. Calculate the common denominator of 32\/3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.96 + -0.04. Let h = -27 + -49. Let o = h - -76.4. Which is the nearest to -2? (a) 1 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8991810 divided by 166515\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 + 1\/10*k**5 - 2*k**2 + 1\/3*k**3 + 0*k**4 + 0*k. What is the first derivative of v(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -43. Let n(f) = -f**3 + 48*f**2 + 9*f - 293. Let i be n(48). Let w be 0\/2 + (7 - (-10 - i)). Calculate the greatest common divisor of k and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 10)*(-6 + 4). Suppose 0 = 2*m - i - 4. Calculate the remainder when 21 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -1\/3 (c) 3 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y - 49 = -5*x, -y = -2*x + 13. Suppose x*v - 4*v + g = -19, 3*g + 25 = -4*v. Is 6 a factor of 16\/3*(-9)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13123 - -2123301223?\nAnswer: 2123222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 12. Let z = 16 + q. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 8525*u**2 + 47*u**4 - 4*u**6 + 8702*u**2 wrt u?\nAnswer: -240*u**3 + 1128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*c**3*w**2 + 3*c**3*x**2 - 2*c**3 - 3*c**2*w**2*x**2 - 6*c**2 - 77*w**2*x**2 wrt c.\nAnswer: -96*w**2 + 18*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 23*d**3 + 45*d**2 - 44*d - 30. Let m(q) = 116*q**3 + 224*q**2 - 220*q - 152. Let l(c) = 16*b(c) - 3*m(c). Factor l(z).\nAnswer: 4*(z - 1)*(z + 3)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89716 + -89715.895742. What is g rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5314356 = -66*n - 1354422. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, c: 17}. What is prob of picking 1 y and 2 c?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + (-2*sqrt(192))\/sqrt(4))\/sqrt(6))**2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160079472 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (((-6*sqrt(170)*2 - sqrt(170))\/sqrt(10) + -4*sqrt(68) + sqrt(272)*2)*-3)**2 + 1)*4.\nAnswer: 620592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/3 - 269*m\/3 = 0 for m.\nAnswer: -269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 41 - 61 - b + b**2 + 2*b**3 - b**3 + 50. What is h(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + z + z + 19, z + 14 = 4*p. Suppose c + 3*v - 5 = 0, p*c = 2*c + 2*v + 10. Let n = -25 + 27. Calculate the smallest common multiple of c and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*o + 6*o - 35 = 0, o = -2. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**4\/4 + 5*q**3\/3 + 5*q**2\/2 + 10*q - 6. Let h be d(6). Let t = 1 - 1. Solve t = 2*i + m + 6, h*i = -4*m - 5 - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20942 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 445644266?\nAnswer: 445644264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111220101 (base 3) to base 9.\nAnswer: 14811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/2 (c) 135 (d) -9431\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165996521.\nAnswer: 19, 8736659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwww when four letters picked without replacement from {w: 13, h: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -3)*(-1)\/2. Suppose w*c - 6 = -2*c + s, 0 = -2*c - s + 6. Suppose 4*h + c*p = 28, 6*p - 2*p = 16. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 2. Let d be x(4). Which is the biggest value? (a) 6 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227068.807 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t + 41*t + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 39*t - 35*t - 32, 4*d = 4*t - 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 100*i - 1332. What is the remainder when 5997 is divided by l(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 20, -5*i = -5*k + 2*k + 15. Let w(l) = l**2 - 2*l - 59. Suppose 19*t + 204 = 71. Let h be w(t). Solve -h*z = 16 - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 9 - 3 - -4. What is the greatest common factor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 - -489 - (-1088)\/(-16)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k = 60*k - 28*k - 4556. Let j be 594\/(-12)*4\/(-3). Is k greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -64*k. Let m be 8 + 7 - (-3 - -17). Let h(p) = -p. Determine m*i(z) - 48*h(z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 176*t**2 - 140*t - 141. What is d(-1)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 100\nAnswer: 37\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3167062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkcc when four letters picked without replacement from llckl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180 - -17. Let b = -163 - n. Is b < -1\/563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {v: 1, j: 2, k: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*o + 24, -13 = -2*n + 2*o + 5. Solve 0 = -2*r + n - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10026241261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/22)\/((-12)\/34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 - -1058070378\nAnswer: 1058070378.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 4*z - 15896, 3*z - 4*r = 11933. Let w = -2533 + z. Calculate the greatest common factor of 103 and w.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-91)\/(-2)*(-408)\/(-238) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(3) + (sqrt(66)\/sqrt(2) - sqrt(33))\/sqrt(11).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*g - 90 = 519*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtp when three letters picked without replacement from {j: 1, s: 2, r: 2, t: 1, p: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2491 - 2491. Factor 2\/3 - 2\/3*d**2 + s*d.\nAnswer: -2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41426 + 289482\/7. Let r = g - -72. Which is the second smallest value? (a) 1\/5 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457258176 by -67086.\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -78043.37739276 + 0.4\nAnswer: -78042.97739276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -7, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103542987 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7457365.3 - -38951150.3. Let o = 31493791.3000028 - t. Let f = 6.3 - o. What is f rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726 and 22264.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7 + 20002*r + 5 - 2. Let q be l(-5). Round q to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700 is divided by 90?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x - 29 + 36 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from eupculsp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(1 + 3 - 2)*(-5*v**2 + 0*v + 0*v)*(-28*v**2 + 37*v**2 + 17*v**2).\nAnswer: 520*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + a = -8*l - 7, 1 = -l - a. Let q(j) = 1513*j**2 + 11*j - 7. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -229, -743, -1745, -3397, -5861, -9299?\nAnswer: -13873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98296.32 litres in millilitres?\nAnswer: 98296320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a8 - 18?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -521314*b**2*q + 106971*b**2 - b*q - 3*b - 2 wrt q?\nAnswer: -521314*b**2 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 418475 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 21.4?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12192 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 7*d**2 - 7*d - 1. Let s be l(-6). Suppose 4*a + s*m - 55 = -a, -4*a + 44 = -2*m. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/4033 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(2) + sqrt(2) + -1*sqrt(2).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 877 - 531. Suppose -2*m - o = -894. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iye when three letters picked without replacement from iyiniey?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2816092 is divided by 351991.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4393232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180572541.\nAnswer: 3, 163, 369269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.98 - 62.08. Sort -2\/3, z, -0.486 in decreasing order.\nAnswer: z, -0.486, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -234, -546, -994, -1584, -2322, -3214?\nAnswer: -4266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r - 63*r - 45*r + 18 - 30*r + 129*r - 20.\nAnswer: -50*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1148*g + 376*g + 364*g + 2*g**4 - 1 - 5*g**4 + 381*g + 2*g**2 to the form f*g**2 + j + x*g + s*g**3 + i*g**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/19*n**3 + 2\/19*n**2 + 0*n + 4\/19*n**4 + 0 = 0. Calculate n.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -743 - -813. Calculate the lowest common multiple of 126 and i.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2 + 5*j**6 - 2*j**6 + 7*j**2 - 5*j**6 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 11. Let n(a) = 4*a - 2 + 5 - r + 0*a. Let y(q) be the third derivative of -17*q**4\/24 - 3*q**3\/2 - q**2. Give -9*n(s) - 2*y(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let t(h) = -3*h - 425. Determine -t(g) + 3*u(g).\nAnswer: -3*g + 425","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10597809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 - 0\/(-2)). Let u = -1.6 - 0.4. Let r = -1.8 - u. What is the closest to b in -4, r, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 862866, 1725885, 2588904, 3451923?\n\"Answer: 863019*n - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:29 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -0.1, -10, -2\/3, -676 in increasing order.\nAnswer: -676, -10, -2\/3, -0.5, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 1. Let a(z) = 9*z**3 + 9*z**2 - 3. Suppose 0 = -0*q - q + 3. Let y(w) = q*k(w) - a(w). What is the third derivative of y(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025926 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(1216)*1 + -1) - (-1 + 4 + (3 + 0 + sqrt(1216) - sqrt(1216)))**2.\nAnswer: -40*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 25. Let t be c(18). Let x(z) = -z**3 + 7*z**2 + 4. Let n be x(t). Solve n*b - 2 = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = -5*r - 175 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 461, 2, -5, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 2, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*r + 76*r + 7*r**4 + (r**3 - 3*r**3 - r**3)*(-4*r + 6*r + r) - 3*r**2 + r**4 + 3*r**2.\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1012, 1.4, -5, 3\/13, -3, 2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33994.\nAnswer: 2, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10.03. Let b(i) = i**2 + 3*i + 15. Let c be b(-10). Let d = c + -89. Put 3, n, d in ascending order.\nAnswer: d, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1718401\nAnswer: 9\/1718401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbrrrkkkkrrrrr. Give prob of sequence br.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 + 48 - 60)*(-1 + 1 + 3)*(3*u - u**2 - 3*u).\nAnswer: -204*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 0*l**2 - 1\/5*l**5 + 0 + 0*l + 4\/5*l**4.\nAnswer: -l**3*(l - 5)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = -3*y + 3*d, 0 = -d + 5. Solve y = 2*x + 3*a + 7, x + 9*a - 13*a - 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 - 6 = 0, -4*k = 5*r + 25. Suppose -2*m - 5*n + 28 = k, n - 3 - 1 = 0. Let j be (-9)\/12 + 1\/m. Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 11 - 21. Suppose -u*x = -13*x + 546. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/270 + 29*w**5\/135 + 61*w**4\/54 + 62*w**3\/27 + 11*w**2 + 3*w. Solve x(k) = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 867 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 1. Let w(t) = t**3 + 4. Let n be w(0). Suppose -n = 2*i + 2. Determine r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:44 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0171658 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s + 4. Let z(l) = l**3 - 4*l**2 + 2*l - 6. Let p be z(4). Let y(d) = -2*d - 1. Give p*b(f) + 7*y(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-9)\/(-18) + (-32)\/88). Solve -16 = -2*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333192 + 34160 = -4784*a + 155448 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -56 - -45 - (2 + -25).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -54*q**3 - 28*q**2 - 5*q - 5. Let k(i) = 136*i**3 + 70*i**2 + 12*i + 12. Let x(y) = 5*k(y) + 12*u(y). What is the third derivative of x(g) wrt g?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 225770713.\nAnswer: 677312139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 4 + 28*r.\nAnswer: 28*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 20 = 0. Calculate the remainder when 11 is divided by (3\/(-5))\/(2\/g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 24120?\nAnswer: 72360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ecd (base 16) to base 8.\nAnswer: -27315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2688*i = 2701*i - 234 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, m: 3}. What is prob of picking 1 c and 2 m?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4966.504 kilograms to tonnes.\nAnswer: 4.966504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -29*r**2 + 17*r**2 + 11*r**2. Let x(s) = 29*s**2 + 26*s + 8. Let l(w) = 19*w**2 + 16*w + 5. Let b(c) = 8*l(c) - 5*x(c). Give i(b(t)).\nAnswer: -49*t**4 + 28*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 328297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from gmgggcgfggggcggf?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 27*z - 29*z. Let r(x) be the third derivative of x**2 + 0*x - 1\/60*x**z - 1\/15*x**3 + 1\/300*x**6 + 1\/150*x**5 + 0. Factor r(g).\nAnswer: 2*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - 11\/33. Let z be (1 - 5)\/2*t. Suppose -z*x + 2*q = -0*x - 140, x + 4*q = 80. What is the greatest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + -4865399.\nAnswer: -4865406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3242 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 774*z**3 - 292 + 170*z**3 + 150 + 144 in the form t*z**3 + m + w*z + j*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 247, 5, -4\/7, -2, -0.4, 29517?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 12. Suppose 0 = j - 5*x + 13, 9*j - x = d*j - 41. Let m = 6 + j. Which is bigger: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(175)*3*-1)**2.\nAnswer: 120*sqrt(7) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1885*t + 46*t**3 + 3845*t - 47*t**3 - 1910*t.\nAnswer: -t**3 + 50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -7*j + 4*j + 24, -3*j = 3*r - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuubuuuuupuuuup. Give prob of sequence ppuu.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 3.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2199*y + 63. Let k be a(-7). Find the common denominator of (1 - -5) + k\/2268 and 46\/33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 799953235 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5817 - 5817.000175. Round m to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345 = 11*z + 312 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 17*t - 3. Let i be f(-3). Suppose -6 = -5*u + i. What is the remainder when 52 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3742 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 + 25 = 0, -5*l + 35 = 4*h. Suppose -3*m = l, m - 2 = -3*d + 6. Suppose d = 5*y + s + 3*s, 0 = y - s - 6. Solve i - 1 = -y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000274 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*l, t + 4*t + l = -11. Let s = 8 + t. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -24*c**2 - 150*c - 14. Let s be i(-6). Let t(q) = -42 + s + 20 - q. Let a(v) = 10*v + 3. Determine t(a(h)).\nAnswer: -10*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 8. Let x be k(-6). Let h = 2\/91 + -188\/273. Let a = -6546 - -6546.2. What is the nearest to h in x, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from pof?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4363607 to the power of 1\/2, to the nearest integer?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 220, 3.\nAnswer: -3, -2, 3, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 44*y + 96.\nAnswer: 4*(y - 8)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -14. Let g = 9 + w. Let v be ((-1)\/2)\/((-4)\/g). Are -4 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6 - (-44 - -128 - 98)) + -69.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 459.89161 + -459.58. What is w rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6939651 by -4.\nAnswer: -6939651\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eemk when four letters picked without replacement from kemkemmemmmkemem?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 2, 0.05, 0.2, -1\/8, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -1468 + 1488. Let d(r) be the second derivative of -r**5\/20 - r**4\/3 + 7*r**3\/6 + 2*r**2 - r. Calculate d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 4. Suppose 4*l + 3*h - 18 = 0, -2*l - 1 = -4*h + 1. Suppose 1 = -2*p - 5*t, 0*t - 4 = -l*p - 2*t. Solve -v*z + 8 = p*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10*a**(-3\/2)*(a\/(a*a**10*a*a))\/(((a\/(a**10*a))\/a)\/a) assuming a is positive.\nAnswer: a**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)\/(x*x**(-11)*x) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14630 - -28089. List the prime factors of v.\nAnswer: 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = 5*g, -5*n + 1551*g = 1547*g - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) + 2 + 3. Calculate the remainder when 21 - (0 - -4) - o is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 6*f - 2. Let i be s(5). Suppose 2*c = 5*r + i, 6 = r - 2*c + 15. What are the prime factors of 2\/(2\/r*-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from xoooxkoxkxoknkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = m - 5, -39*z - 40*z + 2*m + 0*m + 185 = -22*z - 0*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:27 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(200))*2 + -1 + sqrt(200) + 1)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 33360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhwwhhhhw. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 24, 2*z + 6*c = 2*c + 18 + 43 - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/240 and -23\/2544.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*p**3 + 3*p**2 - 3*p**2)*(-3 + 4 - 14)*(p - 2*p - 2*p) to the form z + y*p**4 + m*p + k*p**2 + c*p**3 and give y.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.24 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13275 - 5*o**3 + 17414 - 6473 + 4*o**3.\nAnswer: -o**3 + 24216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 26 = 2*s, 4*s = -5*h + 67 + 39. Let m = h + 33. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:47 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -421133 and 4?\nAnswer: -1684532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 3*p**8\/56 + p**7\/15 - p**6\/3 + 2*p**5\/15 + 15*p**2 + 3*p. Determine y, given that x(y) = 0.\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 7 - 28 = 0. List the prime factors of 1\/(b + (-339)\/114).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**6\/120 + 3*b**5\/20 + b**4\/24 + 5*b**3\/3 + 13*b**2. Is 3 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -1, -10, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 9\/4)\/1*-1. Which is smaller: v or -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*q - 5*h, q = -q + h + 31. Suppose -s - 2*d = -7, q = 3*s + 6*d - d. Let x(v) = -26*v + 1. What is the tens digit of x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Let d = -2716\/69 + -7\/23. Let x = -39 - d. Which is the closest to 2\/5? (a) z (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 367704.3668769 and 4.\nAnswer: 367708.3668769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 divided by -758?\nAnswer: -295\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48936 divided by -49?\nAnswer: 48936\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5858, -11891, -17920, -23939, -29942, -35923, -41876?\n\"Answer: w**3 - 4*w**2 - 6028*w + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -4\/57 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -24) + 4 + 2 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56769*b + 1 = -w + 56766*b, 0 = -5*w - 4*b + 28 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.23 + 0.34. Put -1\/3, a, -0.3 in descending order.\nAnswer: a, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -625022?\nAnswer: -625015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Suppose -93 = 3*o - 6*o. Let g = -22 + o. Let b = g + -11. Calculate v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 41*x - 9 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 744\/5*r**3 - 4\/5*r**5 + 0 - 48*r**4 + 252\/5*r - 752\/5*r**2 = 0.\nAnswer: -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 5. Let j be 2 - (2 - (-2)\/(-15)). Let i = 7\/15 - j. Which is the third smallest value? (a) t (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 3\/8, -6\/10537, 1\/2, 18\/13?\nAnswer: -6\/10537","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*p - 74 - 4*p - 2*p**2 + 70 + 0*p in the form f*p + y*p**2 + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 4)*(-2)\/(0 - 2). Let r be 0\/((c + 6)\/((-1)\/2)). Suppose -5*z + 9 = -2*z. Solve -z*h + 1 + 2 = r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16359678 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3552 - -2082. What is the hundreds digit of (6\/(-7))\/(5\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (416\/320 + (-4)\/5)*2*89 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218345 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 14*q**2 + 8*q. Let l(h) = -5*h**2 + 5*h. Let z(j) = -a(j) + 2*l(j). Suppose -28 = 4*w + 5*d, 0*w = 2*w - 5*d - 16. Give z(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2, 40*r - 42*r + 78 = -4*y. Calculate the remainder when 2318 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1\/3, -4\/7, 56, -16 in decreasing order.\nAnswer: 56, -1\/3, -4\/7, -16, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22540739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - v - 15, 3*v = 4*u - 33. Suppose l + 0*k - k - u = 0, 4*l - 2*k - 20 = 0. Is 4473\/42 + 6\/l a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 641?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 14. Let f be -1 + (7 - (6 + -3)). Let t be ((-12)\/f + 1)*-3. Let n be b(t). Solve -q = -n - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 8:51 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49752366 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13255 is divided by 608.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, b: 6}. Give prob of sequence bbb.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2)*1 + -2 + sqrt(2) - sqrt(2) - sqrt(2)))**2 - ((sqrt(50)*3)**2 - sqrt(162)*-2).\nAnswer: -441 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4523.\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m = 32*m + 121. Suppose 5*t - 3*q = -7, -m*t + 10*t - 15 = -4*q. What is the nearest to -2\/3 in -1\/3, t, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*c + 3*f, 3*c + 13 = -2*f - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:06 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*p - 1072 = 0, x + 5*p + 106 = 374. Let a be x\/22 + 4\/(-22). Suppose -j = -5*j + a. Solve 0 = -2*w - t + j*t + 2, 5*t - 25 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 23*l + 36 = -28*l, -2*c + 5 = -l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -21*u - 9. Let x(c) = 5*c - 46*c - 40 - 5*c - 20*c. Let v(l) = -23*l - 14. Let p(d) = -17*v(d) + 6*x(d). What is 2*n(q) - 9*p(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:27 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 1\/2*k**2 + 1\/6*k**3 + 44*k + 0. Let d(f) = -2*f - 2. Give 5*d(n) + 8*r(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 2107, 3, 2, 5.\nAnswer: -10, 1, 2, 3, 5, 2107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*s = 1535892, -o - o - 2*s = -614360. Suppose 8*x = o + 488824. Round x to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 18*f**2 + 41*f + 2. Give q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49856 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -1\/3 (c) 10778 (d) -3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4567*q - 28 + 5071*q - 2644*q.\nAnswer: 6994*q - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662407 is divided by 221853?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1556*l**2 - 20*l - 2418*l**2 + 10*l + 10*l to x + j*l + p*l**2 and give p.\nAnswer: -3974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26390)\/28)\/29*148\/222.\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**2 + 32*w**2 - 6*w**2. Let o(l) = -6*l - 42. Let g(t) = t + 6. Let y(k) = -7*g(k) - o(k). Calculate m(y(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743 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: Let p(t) = 4 + t + 3 + 0. Let b be p(-4). Suppose 0 = v + 1, -b*r + 4 = 4*v - 19. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379004 - 62.9264?\nAnswer: 378941.0736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -6*sqrt(99)\/sqrt(9))*3)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:51 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -3 + -5 + 5)**2.\nAnswer: -54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = n + 162*t - 76*t - 84*t, 14 = -n - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2309*h - 2187*h + 6657*h).\nAnswer: -4322*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*a - 4*k, -5*k + 3*k = -4*a - 16. Let u be (2\/(-3))\/((-2)\/9). Let g(l) = l. Let i(b) = 3. Let z(x) = u*g(x) + i(x). Determine z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139\/2209311 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -7.47788281\nAnswer: 24.47788281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/7920 and -197\/1980.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27985.\nAnswer: 5, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30017 is divided by 1033?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 5\/(-7). Let w = -0.0301498 + -13.9698502. Sort -0.2, w, u in decreasing order.\nAnswer: -0.2, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 7}. What is prob of sequence nnx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 4*d = 129, 3*p - 409 = -d. Suppose p = 3*j - 286. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -168. Suppose 3*a = 2*w - 157, -3*w - 3*a - c + 284 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20601285*2\nAnswer: -41202570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/105*2)\/(((-150)\/(-135))\/(-10)*3).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564852674 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0\/(-4 - 0))\/(-3))\/2. Solve 4*x + 4*w - 12 = l, 3*x + 0*x + 5*w = 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 6, u: 13}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699571 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 12:52 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -845, -838, -817, -776, -709, -610, -473, -292?\n\"Answer: v**3 + v**2 - 3*v - 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 - (3 + -2) - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 30 - 22. Suppose -n + 34 = 5*l - d, 0 = d + 1. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-42) + 433\/21 and 37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258965405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + 0.44. Let l = 4.22 - -0.85. Let y = -0.07 + l. What is the nearest to -1\/3 in b, y, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0736, -5, -2, 6\/11, -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*n**2 + 46068*n - 6799 - 7939 + 4532 + 247 - 3201 = 0. Calculate n.\nAnswer: 2\/7, 1645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1\/12*t**4 + 1\/30*t**6 + 0*t**2 - 1\/168*t**7 - 3*t - 1\/24*t**3 - 3\/40*t**5 + 0. Factor d(m).\nAnswer: -m*(m - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 900\/(-35)*133\/(-38). Let i(u) = -u - 1. Let p be i(-3). Suppose w = -p*b + a, -5*b = -b + 4*w - 172. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943 <= -1943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*j + 10946 - 10953, 3*j = -8*k + 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 474, 1056, 1870, 2916, 4194, 5704?\nAnswer: 7446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 - 8132*x**4 + 2*x**3 + 43149*x**2 wrt x?\nAnswer: -120*x**2 - 195168*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4544555 (base 6) to base 16.\nAnswer: -38957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/17, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 6\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3889\/13 - 299. Which is the biggest value? (a) 1 (b) p (c) -15\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 8418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m**3 - 27*m**2 + m - 27. Give b(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 9*r**2 + 9*r + 8. Let a be y(7). Let v = 31 + a. Solve v = -q + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -v + 2*v. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16302985 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -404*-1831.7\nAnswer: 740006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1095*i**3 - 3*i**2 + 7*i - 4. Let b be w(-4). What is b rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:29 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20145566 divided by -7?\nAnswer: 2877938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.44 - 10.218. Let k = -1.34 - f. Let h = -0.028 + k. Round h to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. Let w = 56 - 54. What is the closest to j in -1\/8, w, 2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2 - 3 - 9*p**2 + 7*p**2 - 7 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 8*h - 108. What is r(-9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 8979.6956.\nAnswer: 2693.90868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/((-15)\/400*5). Let d be 528\/63 - y\/(-12). Factor -12\/7*x - 6*x**2 - d*x**3 - 6\/7*x**5 + 0 - 30\/7*x**4.\nAnswer: -6*x*(x + 1)**3*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66091600 and 158619840?\nAnswer: 793099200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 3. Let c be w(5). What is the units digit of 42\/(c*1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348 - 350)\/(2\/13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 126.6879 decades?\nAnswer: 1266.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 11*r**7\/210 - 3*r**3\/2 + r**2 - 5. Let c(h) be the second derivative of q(h). Find the first derivative of c(x) wrt x.\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Let n be (0\/(-5 - c))\/2. Suppose n*g + 2*g = 3*v - 13, -12 = -2*v + 3*g. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/15*(-160)\/(-2). Suppose 5*o - b - 46 = -n, -74 = o - b. Is (o\/3)\/(12\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84565809 and 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5564063.\nAnswer: -2\/5564063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -2 + 0 + 1. Suppose 16*q = -11*q - 81. Let n be ((-2)\/(-8))\/((-22)\/8 - q). Solve n = -2*p - u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from gapa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 464105 divided by -12\nAnswer: -464105\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 155\/279 - 2\/6. Let o = -6214 + 391654\/63. Let u = o - 22\/9. What is the second smallest value in u, 3, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225582\/11 or -20506?\nAnswer: -225582\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1384914 - 0.8614116. Let p = -1 - l. What is p rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*i + 2393, -2*i + 3*i - n = 797. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.922 + 0.84. Let q = k + -7.318. Round q to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(720) + 2)**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + 6\/10. Let x(g) = -2*g**3 + 5*g - 2. Let n(s) = s**3 - 1. Let a(w) = i*x(w) - 2*n(w). What is the second derivative of a(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {o: 3, i: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 - 14*m - 5. Let k(y) = 4*y**2 - 7*y - 3. Let o(v) = 5*k(v) - 3*u(v). Let s be o(8). Let r be 4\/(-26) - s\/52. Which is greater: r or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 639.1 + -584. Let i = -55 + v. What is the closest to i in -0.1, 0.09, 0.2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = q - 11, -9*q + 5*q = -4*p - 20. Let l(z) = -23*z**2 - 6*z + 17. Let t(c) = -c - 4*c**2 + 1 + 0*c + 2. What is p*l(x) + 34*t(x)?\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113336 is divided by 111436?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*s + 7551 = -75*s - 3465. Put 1, -4, s in decreasing order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*x + 33 = 316*x. What is the third biggest value in 0.1, x, 15, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109855573 rounded to 3 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 8. Let u be k(-5). Let c be ((-2)\/4)\/(u\/(-24) - 1). Let y(x) = -4*x**c + 2*x - 4 - 6*x + 3*x**2. What is y(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13098\/(-407) + 2730\/(-715)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*g**4*n + 2*g**3*n**2 - 2*g**3 - 6196*g**2 - n**2 wrt g.\nAnswer: 1176*g*n + 12*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 0*j - 4*j + (8 - 3 + 0)*(-49 - 17*j + 49) to the form g*j + y and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1541943137*l**5 - 869147335*l wrt l.\nAnswer: -30838862740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {n: 1, z: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 10. Suppose 98 - 140 = -3*l. Let x be 110\/l + -4 + (-29)\/(-7). Calculate p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113600623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.5, 2958\/61?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 163*f**2 + 90*f + 646. Determine j(-82).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 5, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/3 + 766*i**3\/3 + 19788*i**2 - 615424*i\/3 - 1462208\/3 = 0?\nAnswer: -268, -124, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96146678 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 31. Suppose -w - t*f = -14 - 4, w - 2*f = 0. Let l(x) = 2*x - 7. Determine l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 35*l + 9 = 2*z - 10, 43*l - 2*z + 139 = 3*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.24? (a) -0.2 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 5. Let j be z(9). Let s be 14\/j*36\/(-63). Solve 5*t = s*o - 21, o - 4*t + t = 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/36*-1 - -8*(-4)\/8\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(9\/78))\/(9760\/(-24)) and 56\/5?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389539439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, 1 y, and 1 u when four letters picked without replacement from {k: 2, f: 1, n: 1, s: 1, u: 3, y: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 164415 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135027 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.02 - -7?\nAnswer: 24.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65 + 398425?\nAnswer: 398490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, z: 1, g: 4, a: 2, q: 2}. Give prob of sequence xqaa.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -379541, -753119, -1126683, -1500227, -1873745, -2247231?\n\"Answer: h**3 + h**2 - 373588*h - 5955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 15 = 0, 3*m - 2*s - 21 = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.94069 - 0.05931. What is the fourth smallest value in -0.5, -1\/3, 8, g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011010 - 11100?\nAnswer: -1000010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t - 3 = 47*t. Which is smaller: t or -2\/83?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/18 and 3970\/1080 - (4 - 0)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:04 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3244850022?\nAnswer: 2, 3, 59, 9166243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1394, -4037, -7926, -13061, -19442, -27069, -35942?\nAnswer: -46061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 172?\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 4*k + 5. Let n be l(-4). Suppose n = b + w, w = -2*b - 3*w + 14. Solve b*i + 2*z - 4 = -0*z, -5*i - 3*z + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/12 - 4*k**3\/3 + 16*k**2 + 8045*k. Determine b(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-1) - (25 + -22). Is 3 a factor of (-2 - -6)\/(5\/70*m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Suppose 5*p + 289 = 34. Let a = 53 + p. Let h(l) = 22*l**2 + 5*l - 2*l**a - 5*l. What is w(h(r))?\nAnswer: -400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (260\/84 + -3)\/(10\/14). What is the third biggest value in -2, w, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.506426812 to 1 dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250 + 288. Calculate the remainder when 302 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 361*s**2 + 673. Let a(m) = -241*m**2 - 448. Let l(j) = 7*a(j) + 5*i(j). What is the first derivative of l(v) wrt v?\nAnswer: 236*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -2*d + 7\/2*d**2 - 28. Give x(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 + -148. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/232662 and -28\/7893.\nAnswer: 612133722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16887 + -16875. Solve 2*d - k = a - 16, -3*a = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 77, 150, 223, 296, 369?\n\"Answer: 73*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 87. Let y = 7963\/19 - 419. Let l = 26 - 31. What is the nearest to -2\/3 in w, y, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)\/z)**(4\/3)\/(z**(-2\/3))**(7\/4)*((z\/z**4)**24)**(-47) assuming z is positive.\nAnswer: z**(6765\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 27\/47558023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {v: 4, y: 2, w: 1, f: 2, k: 1, n: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*a = -18, a - 32 = -5*c - 0*c. Let m(s) = -s**3 - 1 - 3*s**2 + c*s**3 - 4*s**3 + 5*s - 2*s. Determine m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 + 6*b - 1. Let y(i) = -7*i + 60. Let k be y(8). Let n be t(k). Calculate the highest common factor of 27 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*r - 199*r + 20 = 43*t, -4*r + 3*t = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/8)*h**(-1\/4))**(-17\/6) assuming h is positive.\nAnswer: h**(-119\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 - 11*p + 3. Let g be f(-11). Let k(m) = 8 - 8 + g*m. What is k(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, 14, 1\/2, -2 in decreasing order.\nAnswer: 14, 6, 1\/2, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1488 + 916*o**2 + 1488 + (7*o + 11*o - 6*o)*(-2*o + 0*o + 0*o))*(o**3 - 5*o**3 + 3*o**3).\nAnswer: -892*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 11. Let y be m(-10). Let w be (-1 - -7) + (3 - 1). Let z = 17 - w. Calculate the highest common divisor of z and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (-2 - -5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-1080)\/(-624) - 1\/(-2)). Let w = h + -43\/39. What is the second smallest value in w, -4, 2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, 38, 160, 284?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 56*g = -120. Calculate the highest common factor of g and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -38 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 190 and 1.574.\nAnswer: 299.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/308 and -55\/9?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 23 = 5*i, 368*w - 4*i + 18 = 369*w. Suppose 0 = 5*x + 25, -3*s + 4497 = 2*x + x. List the prime factors of (s\/40)\/(w\/(-5)) - 1.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2825 = -183*d + 629 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 85*d - 138*d + 11*d + 35*d + d**2.\nAnswer: d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2347.664593 to the nearest integer.\nAnswer: -2348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1764 - -1568. Are -192 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 14*p**2 + 32*p + 5. Let f be l(16). Suppose 120 = f*z + 20. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**8\/280 + t**4\/2 + 4*t**3\/3 - 12*t. Let p(b) be the second derivative of q(b). What is the derivative of p(m) wrt m?\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 1117, 1349, 1213, 595?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/642 and -51\/4.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7643098?\nAnswer: 2, 17, 224797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4b4 (base 13) to base 14\nAnswer: -42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1733 (base 15) to base 7.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - x + 190, -b - 2*x + 3 + 57 = 0. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f**7\/14 - 34*f**6\/5 - 1101*f**5\/20 + 65*f**4\/2 + 86*f - 2. Determine d so that k(d) = 0.\nAnswer: -13, -10, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k - 1. Let a be w(-2). Suppose 6*r - a*r + 18 = 0. Let s be ((-3680)\/r)\/(4\/(-525000)*-7). What is s rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:51 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 75255, 75257, 75259, 75261?\n\"Answer: 2*x + 75253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t. Suppose -4*a + 3*a - 7 = t. Let z(f) = f + 9. Let s be z(a). Solve 0 = s*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(5\/2))\/k**(-5)*k**(2\/31)\/(k\/(k*k**(-2)*k))*(k\/k**9*k**(-1\/6))\/(k*k\/(k\/k**(2\/15))*k**(-8)) assuming k is positive.\nAnswer: k**(351\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.237 - -35.2. Let q = -0.537 - p. What is the nearest to -2\/3 in q, 0.3, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3234, 2689, 0, 1 in ascending order.\nAnswer: -3234, -1, 0, 1, 2689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, -5 in descending order.\nAnswer: 26, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1\/(-2))*-1. Calculate the remainder when d\/6 + 426\/9 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(76) + 0 - sqrt(76))*-1*6 + -3)*3*4)**2.\nAnswer: 104976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (-11219)\/(-84). Let k = 967\/7 + g. Calculate the common denominator of (-5291)\/(-231) - ((-4)\/(-7) - (-9 - -10)) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*b = -p - 26, -2*p - 12 = -4*b. Let d(h) = -h**p + 5*h**2 - 2*h**2. Let z(a) be the first derivative of -4*a**3\/3 + 42. Give z(d(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214345961 - 20.03.\nAnswer: -214345981.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 161 + 2*q + 5*q - 4*q - 6*q + 2*q in the form n + t*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -48*v - 10. Let i be p(-4). Suppose -10*m + i = 62. Solve -4*a - m = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, 56367\/5 in descending order.\nAnswer: 56367\/5, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(5\/7))\/v)**(3\/8)*v**(4\/9)*v*v\/v**(2\/109)*v*v assuming v is positive.\nAnswer: v**(228437\/54936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 7*f - 5*f - 3*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-1)\/(-14))\/(360\/(-420)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 5*l + y, -3*y = 1 - 4. Let o = l + 16. Solve -4\/5 - 2\/5*b + 2\/5*b**o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l - 2. Let d be k(-4). Let v(o) = -o**3 - 5*o**2 - 4*o + 7. Let y be v(-2). Let c be 2\/(-18)*y\/d. Is 3 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184257161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + m**2 - m + 4071. Let q(j) = -j**3 + j + 1. Let n(s) = g(s) - q(s). Let a be n(0). Let u = a + -1570. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -584592.269 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 316339, 316342, 316345, 316348, 316351?\n\"Answer: 3*q + 316336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 47. Determine u so that -17*u + o*u + 4*u**3 - 2*u**3 + 6*u**2 + u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 42131532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4 + 10392*v**3\/7 - 54650*v**2 + 3666468*v\/7 - 1016576\/7 = 0.\nAnswer: 2\/7, 19, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0858 - -0.4858. Sort -65, t, 0 in increasing order.\nAnswer: -65, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849024 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1182, 2334, 3466, 4578, 5670?\nAnswer: 6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52512, -52509, -52508, -52509?\nAnswer: -52512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 6*l + 4. Let v be b(5). Calculate the remainder when (-4)\/18 - (-263)\/v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 28.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-3))\/((-1)\/(2\/4)))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 5*w**2 + w. Let z be h(5). Suppose -100 = -z*j + a, -4*j + 4*a + 60 = -j. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674148 divided by -4?\nAnswer: -668537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Let q(v) = -v**3 + 3*v**2 + 2*v - 2. Let z be q(n). Sort -4, z, 8, 1 in decreasing order.\nAnswer: 8, z, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -15\/2 (c) -4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3238, 6740, 10502, 14530, 18830, 23408, 28270?\nAnswer: 33422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**3*h - 29437*c**3 + 2*c**2*h - 3*c**2 + 36549*c*h + 642*h wrt c?\nAnswer: 60*c*h - 176622*c + 4*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-558)\/10 + 2\/(-10). Let w = n - -94. Calculate the remainder when w is divided by -39*(10\/6 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21864771 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 622 + -440. Suppose -7 = -r - 2*w, -6*w + 3*w = -3*r - 6. Let p be (34\/119)\/(r\/49). What is the greatest common factor of k and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12374000 or 74243999\/6?\nAnswer: 12374000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + d4?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*a - 7. Suppose -5*g + 4*b = -8*g - a, -4*b - 5 = -g. Solve -3*l - g = -13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -1568, -5432, -12986, -25460, -44084, -70088?\nAnswer: -104702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244747 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 279225 or 280890?\nAnswer: 280890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 4 (b) -3\/2 (c) 156\/11 (d) -0.2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 38. Let x be f(17). Let k = 14 - x. What are the prime factors of k\/20 + 181\/2 + 3?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + 2217760.62?\nAnswer: 2217760.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 837*t + 4620. Give c(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:44 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(2 + 0)*31*45\/465. Put v, 11, -1.44 in descending order.\nAnswer: 11, -1.44, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2865378 divided by -2874?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1103203011123?\nAnswer: -1103203011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q - 676 - 13349 = -161*q for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/90 + 6601\/(-230) + 101?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-10)\/8*((-2)\/11)\/(3\/18)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 1, o: 5}. Give prob of picking 1 o and 3 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 9\/(-2) - (82 + -80). Suppose -3 + 3\/2*t**2 + v*t = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -101 in decreasing order.\nAnswer: 2, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1073)\/(-2) + (-16)\/(-32)?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 865824\nAnswer: 865830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127468.\nAnswer: 2, 3, 7, 19, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72045237 to the power of 1\/2, to the nearest integer?\nAnswer: 8488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10413170 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 3. Let c = h - -6. Let -3*z**2 + 14*z + 4 + 0 - z**2 - 14*z**c = 0. Calculate z.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from rrrzbtrrbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**3 - 3*k**5 + 3*k - 2*k + 0*k**3 - 8*k**4 + k**3.\nAnswer: -k*(k + 1)**3*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64624083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 609*o**5*z - 11*o**5 - 158*o**2 + o*z + 73*z wrt o?\nAnswer: 36540*o**2*z - 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/3)*z*z*z**3*z)**49 assuming z is positive.\nAnswer: z**(1127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -7 + -8 + -4 + (5 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 - 209.18. Let b = c - -7.01. Let d = b - 9. What is d rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b**2 + 17*b - 3. Let u be o(1). Solve -2*p - 14 = -3*n - 4, -10 = 2*p - u*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 - 1146*z**2 + 2303*z - 15. Calculate f(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 155098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 25a01c?\nAnswer: 25a019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**3*y**3 + 4*v**3 - v**2*y**2 + 1231*v**2 - 16329*v*y**5 + 2*v + 2*y**2 wrt y.\nAnswer: -48*v**3 - 979740*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*c + 30 = 0, -v = 4*v + 2*c. Suppose -y - 67 = -5*g, v*y = 3*g - 0*y - 36. What is the greatest common factor of 98 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -34.08. Sort r, -3\/5, 0 in decreasing order.\nAnswer: r, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*h = 214*h - 105*h. Suppose -54 = -3*m - 2*j, 6 = 4*j - 6. Suppose h = 4*p - m, -3*y + 3*p + 17 = -187. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/5 + 2318*r**4\/5 - 10950732*r**3\/5 - 32866084*r**2\/5 - 6574142*r - 10957674\/5 = 0?\nAnswer: -2989, -1, 1833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 2*x - 2. Let s(b) = 7*b**2 + 5*b - 5. Let d(t) = 5*a(t) - 2*s(t). Let u be d(4). Solve -z = -4*m + 17, 5*m + z = 4*z + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92956976, -92956975, -92956974, -92956973, -92956972, -92956971?\nAnswer: -92956970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(91)\/(1*sqrt(28)))**2 - (sqrt(39) + sqrt(1911)*2)\/(sqrt(3) + -5*sqrt(9)\/sqrt(3))) + 1.\nAnswer: 5\/4 + 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-84)\/(-27))\/(4\/6). Put 1\/6, p, 0.5 in descending order.\nAnswer: p, 0.5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3006, 4378, 5752, 7128, 8506, 9886, 11268?\n\"Answer: s**2 + 1369*s + 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a century in months?\nAnswer: 34200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -84. Find the common denominator of 125\/(-18) - (-4 + 3) and (-1)\/3 - 206\/q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 + 69*d + 123. Determine b(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*y**3 - y + 0*y**4 - 5*y - 14*y**2 - 2*y**4 + 9*y**3.\nAnswer: -2*y*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n - n)*(-n**2 - 2*n**2 + 2*n**2) + (30*n**3 + 10*n**3 - 8*n**3)*(-1 - 6 - 2).\nAnswer: -289*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 3. Let o(c) = 2 - 358*c**2 - c**3 + 0*c**3 + 360*c**2. Give 2*l(x) - 3*o(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727251423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*r - 0 - 10, 3*r + 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 - 7*l + 10. Let v be j(5). Suppose -3*g + 557 + 2344 = v. Is g 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 ccguhhgghgccgcwumu. Give prob of sequence cghg.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 14*t + 54. Let l be v(8). Let n be (6*l\/108)\/(6\/36). Solve -n*y = -6*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 2:54 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(-4*sqrt(6)) - (5 + sqrt(17)*2 + sqrt(17)).\nAnswer: -13*sqrt(17)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 83.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 1\/4 (c) -1\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = z - 6, 1288*z = 5*n + 1290*z - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c - 1. Find the second derivative of 0*u - 9*u - 17*u**c - 5*u**3 + 7*u**3 wrt u.\nAnswer: -90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394 and 14.\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -12*u + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151103 (base 6) to base 12.\nAnswer: 8493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.06, -4, 4\/515 in descending order.\nAnswer: 3\/7, 0.06, 4\/515, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:53 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3268, 3477, 3800, 4237, 4788, 5453?\n\"Answer: 57*h**2 + 38*h + 3173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = 24*x - 303*x - 3444 - 9872 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllldllddllllml. What is prob of sequence dlm?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4980 and 13695.\nAnswer: 54780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14914771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14420 divided by 2884.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + (-43 - -46) + -44?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*p + 7*p = 7, 3*c = -21*p - 75 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 = 2. Suppose o*t - 94 = -5*r + 3*r, -5*t + 163 = -3*r. Suppose -3*w + 2*f + t = -3, -4*f = 4*w - 60. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/2 + 60*i**2 + 747*i\/2 + 567 = 0. What is i?\nAnswer: -3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 606 + -630 + (30 - (2 - 3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 2. Let t be v(-1). Suppose t*g - g = 352. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*(-6)\/(-4). Suppose n = 2 + x. Suppose 5 - n = -l. Is l != -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484971748 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 5, j: 1}. What is prob of picking 2 j and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - g + 34 + 30, -4*l + g = -134. Let f(w) = -w**2 + 20. Let d be f(0). Let j = d + -11. Calculate the remainder when l is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**3 - 3*g**2 + 773*g - 1699. Let v(h) = -17*h**3 - 7*h**2 + 1545*h - 3401. Let c(u) = -7*i(u) + 3*v(u). Differentiate c(x) with respect to x.\nAnswer: -6*x**2 - 776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -61*t - 2. Let m be w(-2). Suppose 0 = -d - 3*d + m. Suppose 5*s - 80 = d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3639 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -306, -440, -574, -708, -842?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 6*x - 3. Let r(q) = 5*q**2 + 5*q - 2. What is -2*n(c) + 3*r(c)?\nAnswer: 3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 3:31 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -7*q + 498. Suppose -q*l + 21980 = -51*l. What is l rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185871 (base 9) in base 15?\nAnswer: 24514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*q + 18 = 2*c, q + 4 = 4*c. Suppose 5*w = -d + 2*w - 56, w + 92 = -c*d. Let o = d + 79. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 14 - (-50 - -58).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x. Let k(h) = -h. Calculate 18*k(q) + u(q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 5. Suppose f = -2*z + 5*z. Suppose -3*n - 2*n - 3*a + 469 = 0, -10 = z*a. Calculate the greatest common factor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0721 - 0.0279. Let n = 1.4 - 1. What is the closest to n in c, -0.5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (64\/28)\/4 + 2 - 3. Sort -0.5, x, 0.4, -1\/3.\nAnswer: -0.5, x, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -10.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 greater than 638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -17. Calculate the lowest common multiple of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6135 + 6137. Suppose 8 = 3*k - 4. Suppose 4*d + 88 = k*s, n*s - 49 = 5*d - 8. What is the greatest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 10 + 25, -4*m + 5 = -5*z. Suppose -z*t = t. Solve 8 = 4*l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1543\/6 - -4559\/18. Find the common denominator of 33 - 856\/24 - 106\/(-12) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 5, -1, -8, 3 in descending order.\nAnswer: 5, 3, -1, -3, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328*p**3 - 391*p**2 wrt p.\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 60\/61, -3, 2\/3 in ascending order.\nAnswer: -3, 0, 2\/3, 60\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13402 (b) -0.4 (c) -2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.3 + -17. Which is the second biggest value? (a) 0 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*c - 4*c**3 + 18*c)*(-3*c**2 + 7 - 7).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 4 (c) 0 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15013982 - 69.001?\nAnswer: 15013912.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k**4 - 13*k**3 - 46*k - 1.\nAnswer: -108*k**2 - 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (39 + 3645\/(-105))*-7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -0.001, -0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 9. Let q = u - -9.999929. What is q rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -87 and -89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - i = -1, -4*l - 4*i + 16 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*-1*6 - sqrt(57)) + sqrt(228) + (sqrt(228)*1 - sqrt(228)) + sqrt(57))\/(sqrt(75)*3*-1).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1223 or 4?\nAnswer: -1223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20236161, 40472327, 60708493?\nAnswer: 80944659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/4)\/4*-2)\/(2\/(-12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -123*o + 7070. Does 161 divide u(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1370 + -12328\/9. Let p = -33 - -164\/5. Put q, p, 2 in descending order.\nAnswer: 2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 213550, -20, 3 in ascending order.\nAnswer: -20, -1, 3, 213550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -195*p**4 + 389*p**4 - p**2 - 3*p - 182*p**4 + (-p**3 + 3*p**3 - 3*p**3)*(-3*p + 0*p + 2*p) - 2*p**4 - 3*p**4 + 6*p**4.\nAnswer: 14*p**4 - p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -71679\/8 at least as big as -8960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/16739 - 2510708\/1188469. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7946.259 years?\nAnswer: 794.6259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106516102 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 15898d?\nAnswer: -158988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006451 + 0.4.\nAnswer: 0.393549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-20)\/((-1200)\/2)*40\/75)?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1010 or 0.043?\nAnswer: 1010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.54 + -50.54. Let s(x) = x**2 + x + 5. Let o be s(0). Which is the smallest value? (a) t (b) o (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 50021445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 13*p + 216 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(39\/(-260)*-12)\/(66\/22).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-29)\/(-5 - -10). Let h be (-776)\/10*(-1)\/(-12). Let p = h - j. Which is the third smallest value? (a) 2 (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2. Let y be o(1). Suppose 10 + 5 = y*l. Suppose j - 1 = l. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -1\/20, -1\/21, 0.4, 2\/3 in ascending order.\nAnswer: -1\/20, -1\/21, 0.4, 2\/3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**4\/2 - 3*i - 6. Differentiate h(b) wrt b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + a + 1. Let o(s) = 8*s + 55. Let y be o(-7). Let u be f(y). Let g(c) = 7*c**2 - 2*c - 12. Does 21 divide g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 131 = f, b - 47 = 7*f - 2*f. Calculate the greatest common factor of b and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992380 minus -3.25?\nAnswer: 992383.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 + -104. Suppose 0 = 5*s - 41 - h. Solve -6 + 1 = -l, -3*l + s = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(700) - (sqrt(700) + -1))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = 0. Suppose f*y - 2 = -y. Factor -y*k**5 - 4\/7 - 100\/7*k**3 - 80\/7*k**2 - 60\/7*k**4 - 30\/7*k.\nAnswer: -2*(k + 1)**4*(7*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4251687 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1533.4 to the nearest ten.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/3 - 0)\/(-2). What is the third derivative of 4*j**6 - 4*j - j**2 - 10*j**5 + 4*j - w*j**2 wrt j?\nAnswer: 480*j**3 - 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 3*n**2 + 2. Let y be m(2). Let t = 4 - y. Suppose 0 = -t*c + c. Solve -g + 0*g = c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/15)\/((-6)\/15). Suppose -2*j + 15 = 3*f, -3*f + 10 + l = 3*j. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3139*t = -3118*t - 126 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t + 163. Suppose 3*g - 48 = -6. Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.072 and 0.0093221.\nAnswer: -0.0006711912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 118, 154, 214, 298, 406, 538?\n\"Answer: 12*h**2 + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1, -3, 49, -6\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 29 - 118 = 0. Suppose 0 = 17*t - a*t + 2780. Suppose t = 3*g + 242. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 5*n**2 - 9*n - 4. Let c(m) = -m**3 - 3*m**2 - 5*m - 2. Suppose 8 = -8*f + 96. Let i be 48\/(-264) - 31\/f. Give i*b(q) + 5*c(q).\nAnswer: -2*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -9*p + 4*p. Let i = p - -9. Suppose -22 = 4*d - i. Let v(j) = 3*j + 2. Let y(c) = 4*c + 3. Give d*v(q) + 4*y(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t + 2 = 0. Suppose -25 + 5 = -t*v. Solve 2*y = 7*y + v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0205 - 0.3205. Which is the nearest to -10? (a) v (b) 2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Let j be (-57)\/(-38)*(-8)\/(-6). Solve 0 = -2*g - j*p, l*p + 17 = -3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 36*z - 32. Let t be x(37). Suppose -203 = -2*a - t*u, -a - 13*u = -18*u - 139. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1)*(1 + -2). Suppose -v*s + 82 = -66. Suppose s = 4*m + 3*k, -4*m + 0*k + k = -82. Solve -5*p - m = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 30 = -9*c. Solve -10 = -p + 2*q - 0*q, -p - c*q = 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-2 - -5) + -2 - (25 - 20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29730 + 29729.94. Which is the third biggest value? (a) 2\/11 (b) 4 (c) m (d) 153 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 39*d. Let s(j) = 40*j**2 - 1755*j. Let m(b) = -180*a(b) - 4*s(b). Let w(t) = 11*t. Calculate w(m(p)).\nAnswer: -1760*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*j**3 + 22*j + 13 - 4 + 16*j.\nAnswer: 9*j**3 + 38*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*q*r - 39*j**2*q - 289*j**2*r + 23*j**2 wrt r?\nAnswer: -2*j**2*q - 289*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(7))**2*-1 - (((sqrt(112) + -4)**2 - sqrt(7)) + (sqrt(7) - (sqrt(49)\/(sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2))))**2)))*-4.\nAnswer: -128*sqrt(7) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56276 - -1.3\nAnswer: -56274.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(f + 1 - 1) + (f + 0*f + 4*f)*(3 - 3 - 3).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 2\/7 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42246 (base 7) to base 10\nAnswer: -10422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 1\/2*s**4 + 2*s**2 + s**3 + 0*s + 0 - 1\/60*s**5. List the prime factors of k(6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -6334740.\nAnswer: -6334740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -25.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12568573 to the nearest integer?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = -4*u. Let o = 5 + u. Let g(b) = -767*b + 1. Let a be g(o). Round a to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 325?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:10 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3180.256 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.047 + 1.947. Let v = 2.9 + 3.3. Let d = -6 + v. Which is the nearest to -2\/3? (a) x (b) d (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -42*a**3 + 227*a**2 - 16*a + 164. Give k(6).\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 times -37.44?\nAnswer: -97.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (sqrt(252)*4 - sqrt(252)))*-4*-3)\/(4*(sqrt(100) + -3*sqrt(100)*1)).\nAnswer: -18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621796.\nAnswer: 2, 7, 53, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2002)\/(-1078))\/((-130)\/(-50))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 4914.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 556474 and -161078.901.\nAnswer: 395395.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76538922?\nAnswer: 2, 3, 12756487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**4 + 1 + 4*y**3 + 3*y**4 + 0*y**4 - 4*y**4 - y**2 as i*y + p*y**4 + u*y**3 + w*y**2 + d and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14974 is divided by 3738?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 33729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.09, -1, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 4*d**3 + 3*d**3)*(-62 + 62 + 3*d**2 + 12*d).\nAnswer: -3*d**5 - 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 158 = -5*i. What is the remainder when i is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 170*n**2 + 2506*n + 6084. Let b(f) = -f**3 + 169*f**2 + 2504*f + 6084. Let z(v) = -5*b(v) + 4*j(v). Factor z(r).\nAnswer: -3*(r + 3)*(r + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-7) - (-13)\/91. Suppose j*a + 2 = -4*f, -a - 19 = -2*a + 2*f. Calculate the remainder when 42 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 164*b - 4425. Let g be t(71). Do g and 2179 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 304118923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 - 58*v**2 + 11*v + 17. Calculate z(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 0. Let s = -19 + 21. Let c = v + s. Solve w = -m + 3*w, -4*m + c*w = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20843 is divided by 386?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -216*w**2 - 383244*w - 1019971969\/6 = 0. Calculate w.\nAnswer: -31937\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69911\/8 + 8727. Calculate the common denominator of 65\/4 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 5. Let z(t) = -21*t. What is z(i(o))?\nAnswer: -21*o**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-42)\/7 - 4\/(-2). Suppose 3*y = -2*y. Which is the nearest to z? (a) y (b) -0.05 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461360332?\nAnswer: 2, 115340083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981975 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + s + 6, 3*c - 10 = -2*s. Let m = c + -1. Let z = -209 + 207. Put 2, m, z in increasing order.\nAnswer: z, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 + -2 - (3 - (39 + -47 - 106))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 9. Let h be w(-6). Let a = 46 + h. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628436 a multiple of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 28*g + 33*g = -9, 0 = 2*w - g - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5762377\nAnswer: 4\/5762377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1748c01 - 3?\nAnswer: 1748bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1474, -1488, -1502, -1516, -1530, -1544?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399837 - 54326. Let h(p) = 60510*p + 2 + 0 - l*p + 0. Let k be h(2). Round k to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/4*(-30)\/(-225). What is the nearest to u in 0, -2\/5, -41?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/((-1488)\/120)*(1 - 174\/10).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66532365?\nAnswer: 3, 5, 1039, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43322 + 10420?\nAnswer: -32402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - l**2 - 2444 + 1166.\nAnswer: -3*l**2 - 1278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -49*f**4\/4 - 7*f**3\/6 + 17*f**2. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35217077459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 7. Solve 0 = d + 5*i + 24, o*i = -i - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -7 - (-4)\/(-8)*10. Let p be -6 + (-682)\/(-33) + g\/(-6). Calculate the greatest common divisor of p and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p + 250 = -4*c, -100 = p - 2*c. Let y = 200 + p. Suppose 8*b - y = 3*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - o)*(-o + 2*o + 7*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 180669.6 millilitres?\nAnswer: 180.6696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-27) - (-352640)\/4104. Put 5, -3, -2, f in decreasing order.\nAnswer: f, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7666675559 to the power of 1\/2, to the nearest integer?\nAnswer: 87560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/47))**23 assuming j is positive.\nAnswer: j**(1127\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-338 - 18*h + 338).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2367*x + 2370*x - 21 = 2*r, -20*x + 60 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2693 = 3*x + b, 0 = -0*b - 4*b - 20. What are the prime factors of (-10)\/(-25) + x\/(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21152 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 2476*a + 2475*a + 15, 3*m + 85 = -4*a + 9*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-26))**(1\/17)\/(x**14)**(-1\/31) assuming x is positive.\nAnswer: x**(-568\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j = 5*c + 4, 3*j + 4*c + 1 = 0. Let p be 12\/j*(1 + 0). Solve -3*l = -p, 20 = -5*w + 3*l - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8229 plus 14582463?\nAnswer: 14590692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joyj when four letters picked without replacement from {m: 1, j: 2, o: 4, y: 4}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40711 is divided by 20354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 6*l)*(3 + 4 - 3)*(-l + 2*l - 4*l).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 + 253. Let o = k + -111. Find c such that 28*c + 91 + 5*c**o - 11 - 88*c = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -316, -628, -1064, -1624, -2308?\nAnswer: -3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/352030163 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -120211 (base 3) in base 13?\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -612, -1216, -1820, -2424, -3028, -3632?\n\"Answer: -604*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104005421 (base 7) to base 15.\nAnswer: -833168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -3. What is the highest common factor of o and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 7) to base 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, c: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/426114 and -87\/2.\nAnswer: 426114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 108 - (-45 + (53 + 9 - 31))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/2354899?\nAnswer: -1\/2354899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**2 - 2*t - 2. Let x(r) = -265*r**2 + 45*r + 45. Let v(h) = -h**3 + 12*h**2 - 3*h - 43. Let w be v(11). Calculate w*g(d) + 2*x(d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**3 - 40 + 97 - 57.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 9*y**3 - 5*y**3 + (-3 + 3 - y)*(y**2 + y**2 - 4*y**2) - y**3 + 0*y**3 + 2*y**3 + (3 - 2*y**2 - 3)*(4*y - 2*y - 3*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 9*x - 4. Let l be s(-8). Find the common denominator of 95\/2 and l\/6 + (-169)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*o + 6*o**2 + 101738 + 446*o**4 - 4*o**2 - 101647 wrt o.\nAnswer: 10704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 7*g - 9. Let b(w) = -2 - 12 + 2*w - 7. Let a be b(15). Let d be a\/(-1)*(-8)\/12. Give p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4, 4, 25 in ascending order.\nAnswer: -5, -4, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 2\/(-2)*-2. Is (53\/h)\/(4\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 580 and -2832 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220222 (base 3) to base 16.\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30587.8 - -30586. Is j > -27\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b. Let d(h) = 3*h. Let m(y) = 5*y. Let o(r) = r**3 - 5*r**2 + 3*r - 4. Let s be o(4). Let v(t) = s*d(t) + 5*m(t). Determine w(v(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5409 (base 11) to base 10\nAnswer: 7148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -276, -6\/13, 53, 0.1, 0.023, 2\/13?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -13*b + 5*l + 40, -4*l - 14 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(45) + (sqrt(45) - -3*sqrt(720)) - (1*sqrt(3645) + -2))**2.\nAnswer: -5670 + 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 814 times -8.5745\nAnswer: -6979.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x. Let g(b) = b + 2. Let j be g(-5). Determine v(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4363.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**4 - 1\/8*t**6 + 0*t**3 + 0 + 0*t**5 + 0*t - 18*t**2 - 1\/42*t**7. Factor n(v).\nAnswer: -5*v**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 9*b**5 - 2*b**5 + (-2*b**3 + 3*b**3 + 2*b**3)*(b**2 + 0*b**2 + 2*b**2) - 4*b + 3*b - 2*b**5 + 0*b**5.\nAnswer: 11*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 41*f - 372 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9678 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -91, -96, -101, -106, -111?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/32500116 and 13\/324.\nAnswer: 32500116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003723 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1941 - -4796.\nAnswer: 6737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, t: 3, y: 2, b: 3}. What is prob of picking 2 b and 2 m?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8*p + 4*p + 60 = 0, 5*j - 3*p = 129. Let h be 20\/6*j\/20. Suppose 12*u - h - 44 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 8. Put o, 2, -2 in increasing order.\nAnswer: o, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162322.\nAnswer: 2, 7, 83023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*b = -275, 2*s - 62 = -5*b + 34. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72492 and 833658?\nAnswer: 1667316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Let o = 249 - 254. Which is the third biggest value? (a) f (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1\/27, 0 in decreasing order.\nAnswer: 4, 0, -1\/27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 + 31*l**2 + 4*l + 2. Determine y(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9691*x + 343855 - 822918 - 393127 for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55 (b) -5 (c) -0.3 (d) -0.04 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86471.08ug to grams.\nAnswer: 0.08647108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -a + 3*a + 34, -2*a - 2 = 0. Suppose 0 = -3*f - u + 8. Solve 0*x + 4*p + 9 = 5*x, 2*x + 4*p - 26 = f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnunnnnnunnnun. Give prob of picking 3 u and 1 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -37, -74, -131, -214, -329, -482?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 16*h - 13*h = 12, -4*h = 3*s - 17. Let j(q) = 4*q**3 + 5*q**2 + 3*q - 14. Let x(y) = 2*y**3 + 3*y**2 + 2*y - 7. Give s*j(z) - 5*x(z).\nAnswer: 2*z**3 - z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2769bf (base 16) to base 2.\nAnswer: -1001110110100110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 2*s - 8. Let r be p(-2). Suppose 0 = i + r*i - 480. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-622)\/6 + 13*(-44)\/(-858) - (-11 - -5)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 - 10\/120*-74. Suppose -3*h = t - x*h - 3262, -3*h + 16400 = 5*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -cb849?\nAnswer: cb862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*n + 1025 + 1670 = 58*n. What is the highest common factor of n and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16396, 16395, 16394, 16393, 16392, 16391?\nAnswer: 16390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -7\/15 (b) 17 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 15) to base 16.\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -59*p**5\/60 - 11*p**4\/3 + p**3\/3 - 2*p + 75. Let h(r) be the third derivative of j(r). Differentiate h(t) with respect to t.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 - r + 5. What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -439*f + 248*f**4 - 585814*f**3 + 4*f**2 + 3*f**2 - 9*f**2 + 585800*f**3 + 9 wrt f?\nAnswer: 5952*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -3 (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 7*g**2 - g - 3. Calculate j(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p - 22*p + 2604 = 0. What is the lowest common multiple of 70 and p?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*(-6)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1000 and 47\/2000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 526644821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1312*f - 64 = 1320*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4076315587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.4*19722.\nAnswer: 461494.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, w: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 + 760*h**2\/3 - 664477*h\/6 + 14958867.\nAnswer: -(h - 882)*(h - 319)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*a**4*t - 28*a**3 + a**2 + 2*a*t - a + 3601*t wrt a.\nAnswer: 1752*a**2*t - 168*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 37 (b) 460 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 127690858.6 to the nearest ten thousand.\nAnswer: 127690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.3 (b) -103\/2 (c) -61.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.91748 millimeters in micrometers?\nAnswer: 8917.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + j**3 + 2*j**3)*(-10*j**2 + 13*j**2 + 5*j**2 + (-2 - 1 + 0)*(-3*j**2 + 2*j**2 + 0*j**2)).\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16880145 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 30 = 3*h. Suppose y = -3*n - 3, 4*n + 8 = 2*n. Suppose 2*a = 5*a - y. Solve -16 = c + 5*r, -2 - h = a*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -7. Let d(b) = -5*b**3 - 2*b**2 + 5*b - 11. Let n(x) = 4*x**3 + 3*x**2 - 4*x + 10. Let o(l) = 5*d(l) + 6*n(l). What is the units digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000 (base 9) to base 4.\nAnswer: -1331103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61922*m - 38587*m - 35649*m + (0 - 3 + 4)*(-m + 3*m - 5*m).\nAnswer: -12317*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*2*sqrt(1088)*-4 + (-4 + (sqrt(1088)*-2 - sqrt(1088)) - sqrt(1088)*2*-5))*6)**2.\nAnswer: -105600*sqrt(17) + 118483600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4627 - 0.5627. Put i, -12.1, 0.4 in increasing order.\nAnswer: -12.1, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 25*m = -4800. Suppose -12*k + 4384 = -m. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 3*q - 5. Suppose 4*d - 6*v = -v, 0 = 2*v. Let j be m(d). Let g(n) = n**2 + 2*n + 7. What are the prime factors of g(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**2 - b - 9. Let p be u(-3). What is the fourth biggest value in 4, 0.1, 1\/6, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddkk when four letters picked without replacement from {k: 3, d: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 417.4\nAnswer: 834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-26 - -20) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3898912 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/8)*k**(1\/4))**18 assuming k is positive.\nAnswer: k**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 37 - 1)*(-k + 2*k + k).\nAnswer: 150*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2020\/(-186))\/((-5)\/(-105)). Let s = z - -228. Let h = -0.2 - -1.2. Is s at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, o: 1}. Give prob of picking 1 o and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)\/(-3)*(12\/1368 - (-30)\/190).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62263, 124528, 186793?\nAnswer: 249058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j - 102*j - 1117 = -53 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6206, -24842, -55912, -99422, -155378, -223786?\n\"Answer: -o**3 - 6211*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 1. Let t(a) = -1 + 1 - 2 + 1. Determine -j(v) - 3*t(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 2, 1\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2830\/321 + 16\/107. Is -9 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1191 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33859090, 135436360, 304731810, 541745440, 846477250, 1218927240, 1659095410?\n\"Answer: 33859090*q**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 78 = 4*y - g, -3*y + 3*g = -60. Suppose 0 = 11*i - y*i + 24. Suppose 3*p + 4*s = 440, -3*s + 243 = i*p - 192. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 9*w**3 + 33*w**2\/2 + 6*w - 3. Factor d(z).\nAnswer: 3*(z + 1)*(9*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 11)*(-2)\/6. Let y be ((-5)\/(-1))\/(s - -4). Suppose -16 = -y*i + 4. Is 4 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 76*r - 352. Let l be u(71). Let v(k) be the first derivative of -12 + 0*k - 1\/3*k**2 + 1\/9*k**l. Find h such that v(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*((-2*f**4 + 5*f**4 - f**4)*(0 + 2*f + 0) - 3*f**5 + 0*f**5 + f**5).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -21317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.17 - -0.17. Let v = x - -21. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l + 0*l)*(10 - 5*l + l - 12).\nAnswer: 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4\/3*w**5 + 6*w - 94\/3*w**3 + 20\/3 - 62\/3*w**2 - 10*w**4 = 0.\nAnswer: -1, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033152 + 0.1.\nAnswer: 0.133152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 22. Suppose 4 + 14 = 5*m + r*k, -5*m + 25 = -5*k. List the prime factors of m*(5 + -3 + 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.6431 decades in years?\nAnswer: 6816.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11438 and 6251.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122 and 804255958.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 215 + 452 + 594651*p.\nAnswer: 594651*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 234774 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.235 and 0.3.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44292 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2870 = -5*u, 5*b - 8*b + 1738 = 5*u. Let v = 892 - b. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + sqrt(847) + 2 + 3.\nAnswer: 5 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285553754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*l + 728 = 538*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-115)\/(-4) - (-1)\/((-12)\/9). Suppose -5*n + t = -62 - i, 0 = 3*n - 4*t - 71. Solve 0 = -2*x - 2*h - 4, h + n = 5*x - 3*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 4947840?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37639845?\nAnswer: 3, 5, 23, 41, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 63233, 5, 0.\nAnswer: -5, 0, 5, 63233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 12 = 35*c. Let -41*j**c - 41*j**2 - 12*j**3 + 3*j**4 + 94*j**2 = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(1 + 1 - 4) - 2 + 2 - 2 - 1 + 1 + 1)*(14 - 14 - 60*q)*(-3*q**2 + 2*q**2 - q**2).\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:04 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + (-1)\/(-2). Let k be 4\/((-12)\/(-15)) - n. Factor -2*v**2 - 2*v**4 - k*v**5 + 5*v**4 + 3*v**4.\nAnswer: -2*v**2*(v - 1)**2*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.8 (b) 1 (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 - 2936*r**3 + 619*r**2 + 11931644*r wrt r.\nAnswer: -12*r**2 - 17616*r + 1238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -334133431133?\nAnswer: 334133431143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13911389 divided by 104\nAnswer: 13911389\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 464.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 898 divide 33677694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 967 (b) 0.54 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12\/5 (b) -0.1 (c) -5622 (d) 2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**2)**33)**(-22))**17 assuming b is positive.\nAnswer: b**12342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4260)\/140 + (-504)\/(-147)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 - 497. Solve u*p = 22 - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1796, -2778, -3586, -4226, -4704, -5026, -5198?\nAnswer: -5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.811 times 4\nAnswer: 3.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 8. Let a be i(9). Suppose 0*o - 4*q = -3*o + 12, 0 = -2*o + 5*q + a. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from yhsqyyoouhyo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**3 + 4*r**3 - 2*r**3)*(-2*r - 4 + 4)*((2 - 2 - 2)*(-2 + 1 + 0) + 2926 - 8475 + 14033) in the form v*r**4 + a*r + s + t*r**2 + h*r**3 and give v.\nAnswer: -33944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001021000 + 110212?\nAnswer: 10001201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419 divided by 3?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4807.0002819 - -4807. Round k to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 33. Calculate the smallest common multiple of s(5) and (24\/(-10))\/(3\/(-10)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:06 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 19\/417, 23?\nAnswer: 19\/417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -108 + 106. Let m be (2\/2)\/(-5*7\/(-28)). What is the closest to m in 0.1, d, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-760)\/(-435)) + 5\/4. Let v = 5.12 - 0.12. What is the second smallest value in 0, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 486, 1219, 2162, 3315?\n\"Answer: 105*j**2 + 418*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3484 and 156?\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 33 - (5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {d: 8, u: 4, r: 5}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*j = 4*z + 17, 2*j - 17 = 5*z. Let b(g) be the third derivative of -5*g**4\/24 - 7*g**3\/6 + g**2. Does 10 divide b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 + -161.7. What is the fourth biggest value in 1, j, -0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*u = -32 + 109. Put -2, u, -4 in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 22216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 182355 = 5*g + 1785297, -5*h - 1602970 = 5*g. What is g rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1941 > -1601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.17751cm to millimeters.\nAnswer: 811.7751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/369*(-1)\/2. Suppose -3 = 10*p - 7*p + 3*d, 4*p + 4 = 5*d. Are p and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a millimeter in micrometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14584887?\nAnswer: 3, 540181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g - 16. Suppose -g*w + 5*t + 0*t + 1518 = 0, 5*t = -10. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3045827.\nAnswer: 461, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -651*o - 3219. Suppose 9 = 3*m - 39. Calculate the remainder when h(-5) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5717810.\nAnswer: 2, 5, 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:36 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -1\/10*f**6 + 0*f**4 + 5\/6*f**3 - 177*f + 0*f**5 + 0 - 31*f**2. Differentiate y(j) wrt j.\nAnswer: -12*j**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qruxp. Give prob of picking 1 p and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/15)\/((-1)\/(-5)). Let p(g) = 2 + 2*g**3 + 4*g - 9*g**2 + 8*g**2 + 3*g**2. Let d(j) = -j**3 - 2*j**2 - 3*j - 1. What is v*p(h) + 4*d(h)?\nAnswer: 2*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-48)\/(-40)*-5. What is the remainder when 123 - 119 - (3*-29 - c) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:32 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.9. Let i = -518\/5 + 103. Let u = 19 + -18. Which is the nearest to -1\/4? (a) j (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.05 + -0.05. Sort 4, k, 0 in decreasing order.\nAnswer: 4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x - 10. Suppose 1 = -y + x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 2, v: 4, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -2*x. Suppose 0 = 157*u + 114*u + 4878. What is the fourth biggest value in u, x, 1, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004861239016 to seven dps.\nAnswer: -0.0048612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*s - 4*r - 6, -2*s + 2 = -2*r. Suppose y - s*d - 3 = 0, -6*y + 3*d + 12 = -4*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2. Let q(y) be the second derivative of 1\/3*y**3 + 0*y**2 + 0 - 5*y. Determine q(d(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1926\/14 - 3\/(-7). Suppose s - 169 = w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*f = 3, 0*f - 5*f = 4*c + 39. Let k be -82*1*(-3)\/c. Let q be (k\/(-3))\/((-1)\/60). What is q rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**3\/6 + b + 1. Let y(p) be the third derivative of -8*p**2 + 0*p**4 + 0*p**3 + 0*p + 0 - 1\/12*p**5. Determine y(w(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0)**(19\/5)*(q\/(q\/(q\/(q*q**(-2)))))**22 assuming q is positive.\nAnswer: q**(239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124298*h + 8 = 5*b + 124300*h, -1 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b + 3. Let d be w(6). Let j = 70 + d. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = 8*o. Let v = -1 + o. Suppose -2*n - 3*r - 4 - 8 = 0, r + 4 = v*n. Solve n = -y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*q**2 - 10*k*q*v**2 - 1829*k*v**2 + 126*q**2*v + q*v**2 - 2*q + 6 wrt k.\nAnswer: q**2 - 10*q*v**2 - 1829*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39012 = 33*q - 21*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:23 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186 a factor of 339410678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, 0.4, -5, -123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*c + 85 = 2*c, -4*y - c = -62. Let o = 16 - y. What is the least common multiple of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001293605806 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88, 129, 178, 241, 324, 433, 574?\n\"Answer: k**3 - 2*k**2 + 40*k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36916930 and 4?\nAnswer: 73833860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:44 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -589373178 divided by 5835378\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173900 divided by 1.\nAnswer: 173900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 632570 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/6 - t**3\/6 + 4*t**2. Is 4 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 32. Let j = q + 56. Suppose 2*x = l - 23, -3*l + 2*x = -l - j. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5419 + 55*z + 10843 - 5424 - z.\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1420066 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from mblsvvb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 31021 = 32*i - 34*i, 4*i = -2*t + 12418. What are the prime factors of t?\nAnswer: 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*o**3 + 323*o**2 + 2.\nAnswer: 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124465305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-22)\/20 - -1). Suppose -5*a - 2 = 3. Let b(f) = -2*f**2 - 20*f. Let s be b(-10). What is the closest to s in a, 1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 2*r**5\/105 + r**4\/42 - 2*r**3\/21 - r**2\/21 + 4*r\/21 - 20. Find o such that b(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (464*w - 53 - 195*w - 142*w)*(2*w + 1 - 1) in the form x*w**2 + i + t*w and give x.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(24)\/sqrt(3)) - (sqrt(56)\/sqrt(2))\/sqrt(4) - (0 + sqrt(7) + 1)*2)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-1 + -1 - -5). Let y(n) = 4*n - 62. Let s be 9\/(18\/(-4)) - (-11 - 1). Let b be y(s). Sort 2, w, 4, b in decreasing order.\nAnswer: 4, 2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3635 - 3637. Which is the fourth biggest value? (a) p (b) -3\/28 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9040\/131 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*b - 20*b + 8*b to j*b + t and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95956, -92428, -88882, -85312, -81712, -78076?\nAnswer: -74398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 21. Let s(i) = 5*i**2 - 3*i**2 - t*i**2 - i**2. Let h(x) = 2*x - x**2 - 2*x. Determine s(h(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 4*i. Let p(u) = 2 + 2 - 4*u + 19*u + u**3 + 16*u**2 + 3. What is the least common multiple of p(-15) and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580.8347um to nanometers.\nAnswer: 580834.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2152620 and 143280?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131 in -5, 1, 0.4, -0.4, -1\/9023?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjnyf. What is prob of picking 1 j and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8988 + 0.0073706?\nAnswer: -4.8914294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -161, 60342 in descending order.\nAnswer: 60342, 7, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3378 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-2211)\/(-143))\/((22\/(-130))\/11).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-2) - -81)\/((-4)\/(-22)). What is the greatest common factor of 3612 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 158?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8004 - -8054. Solve 15 = a*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90498360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010779 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -11, -2 in increasing order.\nAnswer: -11, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500 divided by -6.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/22*-1*(-8)\/688. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + m + 1583, -3*m - 3 = 6. Suppose -n - 134 = -11*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3928623 is divided by 927.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:05 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45\/(1350\/18876) - 2\/10 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 5, 5*j - 4*l = 255. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 - 2*k - 3. Let n be p(-3). Let t be n*(3\/3 - 2). Let b be (t\/54)\/((-2)\/(-6)). Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151900 = -5*d + h, -29526 = -5*d + 5*h + 122394. List the prime factors of d.\nAnswer: 17, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3926, 5988, 8050, 10112, 12174, 14236?\nAnswer: 16298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1\/j)**(10\/7)\/((j**6*j*j)\/(j**(-2\/3)*j)))\/((j*(j**(-5\/4)\/j)\/j*j\/j**(1\/5))\/((j\/((j**(-3)\/j)\/j))\/j*((j\/j**(5\/6)*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-87\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 68. Is k(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -30161965 and -42.\nAnswer: -30162007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -0.1305?\nAnswer: 0.003915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, 1, 0.\nAnswer: 0, 1, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 20504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 0.1, 0.4, -23.5?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47910, 95884, 143858?\nAnswer: 191832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 86 = 3*m - 6*m, 2*m = 3*f + 49. Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/960*(-1513065)\/(-6). Let i = -17336 + f. Find the common denominator of i and 17\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**2 + 12*f. Let r(y) be the second derivative of 7*y**3\/6 - 3260*y. What is r(b(d))?\nAnswer: -70*d**2 + 84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/12 + i**4\/12 - i**3 + 4*i**2. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {k: 2, q: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -52. Solve n*l + t + 4*t = 16, 3*t = l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0*c**2 + 0*c**4 - 4\/3*c**3 - 2*c**5 + 6*c + 0. Find the second derivative of o(i) wrt i.\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((3\/2)\/(9 - 92\/8)). Solve -b*r = 3*y + 12, 10*r - 6*r - 3*y = 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2641 (b) 2\/9 (c) -1\/7 (d) -214\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -38273*(-16 + 15)*2.\nAnswer: 2, 38273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37294290 by 11.\nAnswer: -3390390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(5) - sqrt(125)) + -1)*-1 - (5 + (sqrt(405)*-2)\/sqrt(9)))**2.\nAnswer: 280*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/791123 and 61\/8007.\nAnswer: 40347273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5278 (base 9) to base 8.\nAnswer: -7446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -21.8443.\nAnswer: 6.55329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5052 is divided by 130?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (-3 + 6 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 2. Let z be y(-2). Let v be 32\/(-6) + (-4)\/6. Let w be 9\/v - (-2)\/z. Is -1\/5 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 + 5*v - 40. Let d be b(8). Suppose d + 40 = 14*a. Find the common denominator of a and -71\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -213a31a + -2?\nAnswer: -213a321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758 - -753. Let o = 6 + -5.6. What is the nearest to 2\/5 in o, -0.06, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -232001312?\nAnswer: 232001301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 94 = -3*f, 4*f - 35 = -3*t - 109. Let c = t + 35. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36116893*k**2*o**3 - 402*k*o**2 + 2*k*o + 13148*o**3 wrt k.\nAnswer: -72233786*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 1. Let p(b) = -b. Let s be -1 + 3\/(-6)*-4. Let m(i) = 2*i**2 + 3*i - 2. Let w be m(s). Suppose 4*a + 17 = -w. Determine a*p(d) - c(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let j(r) = 2*r**2 - 4*r. Let u(a) = a - 3. Let l(t) = 2*t - 5. Let s(k) = -3*l(k) + 5*u(k). Let y(v) = -j(v) + 4*s(v). Determine f(y(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*f - 202*f + 89*f - 182 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 + 176030*v**3 + 2465100*v**2 + 10565640*v + 12679200 = 0.\nAnswer: -6, -2, 35220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010121 (base 3) in base 9?\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-1 - 4) + 2) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - -54?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 9 = 0, -g + z = 9 - 16. Solve -g = 20*t - 24*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12144, 0, 2\/5, -1, -4\/9, -0.3 in decreasing order.\nAnswer: 12144, 2\/5, 0, -0.3, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 54 = 27*o. Solve -o*z + 2 = -13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 2)*(-23*t - 1 + 7*t + 7*t)*(3 - 1 - 1)*(3 - 6 + 4).\nAnswer: 45*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + 2*u. Let l be j(-2). Let p be (-2 - 1) + (l\/4 - 3). Solve 5 = -d + p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/6 + t**3\/3 + 14*t**2. Let x = 18 + -10. Calculate the remainder when o(5) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Suppose 5*u + 4*r = 148 - 24, -26 = -u - 2*r. Suppose 24*t - 23*t - u = 0. Let h(d) = -t*d + 6*d**2 + 20*d + 4*d. What is q(h(l))?\nAnswer: -72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3654, 2\/17, -1, 147, -2 in ascending order.\nAnswer: -2, -1, -0.1, 2\/17, 147, 3654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46409 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(6048) - (1*sqrt(6048) + sqrt(6048))))\/(-3*(sqrt(108)\/sqrt(6))\/sqrt(3)))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-4 - -3) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (134\/1943)\/(2\/1).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g. Let k(s) = -21*s. Give 2*k(l) + 9*y(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r - 4*a + 38 = 0, a = -3*r + 32. Suppose -5*v = o - r, v - 21 = -o - 4*o. Solve s + 17 = -o*z, 1 = -s - 2*z - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 * -528277\nAnswer: 59167024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/7*(4 + 7689\/22). What is the greatest common divisor of 2323 and h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -759939\/136624 - 2\/8539. Let y = -2\/5953141 + -326142829661\/71437692. Let w = y + 4570. What is the common denominator of q and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*x + 24, 3*q + 2*q = -5*x + 50. Let h = x - 5. Suppose -28*a + 196 - 84 = 0. Solve -10 = -3*d + 5*d - a*k, -3*d + h*k = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708*u**4 + 11553*u**3\/2 + 9255*u**2 + 1068*u = 0. What is u?\nAnswer: -356\/59, -2, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r + 88 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3829.399nm?\nAnswer: 0.000000003829399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -228358 and 607.\nAnswer: -227751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 - 99 = -3*m. Let x be -3 - 1576\/20 - 4\/m. Let b = 85 + x. Solve -b = 4*n - 3*o + 3, 5*o - 3 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3891910 is divided by 246?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 51. Let k = 317 - c. Is k a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-8)*(21\/28)\/(3\/16)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 36*x**2 + 30*x + 54. Give s(-19).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10202*l**4 + 17542.\nAnswer: -40808*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4 + 6. Solve 8 = 2*t - m - j*m, -5*t + 20 = -3*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/5)\/(5\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2960*p + 4593 + 4597 - 9190 as w + q*p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/(b*(b**(1\/3)\/b)\/b*b*b*b)*(b**(-2\/11)\/b)\/b*b*b**(-9))**37 assuming b is positive.\nAnswer: b**(-45029\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5*w + 12, -u - w = -6. Solve u*m = 4*n + 1, -4*m + 0*n = n + 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 5:04 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 4*m**2 + 21*m + 57. Give i(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1806 + 1805.95. What is the closest to 2 in 1, x, -1\/4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 76*g + 2075 = -3*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, r: 4, t: 3}. Give prob of sequence trtt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -34. What is the biggest value in 3, -0.04, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)*(1 - 4). Put -8, 5, z in ascending order.\nAnswer: -8, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z + 6. Let u be x(4). Let p(a) = a**3 + 33*a**2 - 37*a - 46. Calculate the remainder when 277 is divided by p(u).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (14 + -6)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = 0, -5*l = -3*j - 2 + 4. Solve 3*k + 25 = -l*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(143) + 2*sqrt(143))*3 - sqrt(143))\/(-2*sqrt(1584)))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/2 - (4 + -10)\/12. Solve 5*l - l = -b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 9*x = -14*x. Determine f so that 1\/3*f**3 - 1\/3*f**5 + 1\/3*f**2 + 0*f - 1\/3*f**4 + x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 32\/(-6))*-3. Solve 2*f = -0*f + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 + 5*z - 6. Let i be r(-6). Suppose i = -2*c + 3*c. Solve 0*l + l + 4 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 241008*j**2 + 3630303504*j = 0 for j.\nAnswer: 0, 30126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 1\/5 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/7 (c) -20.9 (d) 0.3 (e) 2\/7 (f) 0.142\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((-32)\/(-120)) - (-25)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*u - 7, -s - 2*u = 3*s + 18. Let j = -0.8 - 0.2. Let p = j + 1.1. Put -2\/7, p, s in ascending order.\nAnswer: s, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-6)*99\/77. Let d be 5\/7 - 4\/(-14). Solve -t + d = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 33*f - 10*f in the form z*f + w and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -1\/2, -1\/4, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 7. Let n(t) = t. Let i(l) = -5*n(l) - q(l). List the prime factors of i(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90611.81 days in microseconds?\nAnswer: 7828860384000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6826 or -68273\/10?\nAnswer: -6826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*r + 6 = -3*r, 3*i + 2 = r. Solve z = -i*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5214 and 3530352?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 705.9 and -60?\nAnswer: -42354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 382\/3, 6\/5, -1 in increasing order.\nAnswer: -1, 6\/5, 3, 382\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/sqrt(2) + (4 + sqrt(75)*1)**2.\nAnswer: 46*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 + 78*s**2 + 16*s - 3. Let l(m) = 5*m**3 + 76*m**2 + 11*m - 2. Calculate -2*i(p) + 3*l(p).\nAnswer: 5*p**3 + 72*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/11, -0.5, -296, 3322, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 130 - 56 = -10*h, -p + 49 = 6*h - 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*k + 17335 - 41153, 0 = p - 4*k - 11919. Let i be 5\/10 + p\/3. Let n = i + -3984. What is the common denominator of n and 79\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18*k - 140. Calculate w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d. Which is the second smallest value? (a) d (b) 1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15707 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 3445472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(425))**2 - (sqrt(425) + 5 + -2*sqrt(425)) - (((sqrt(425) + 4)**2 - sqrt(425))*-1 + 2)) + 5.\nAnswer: 40*sqrt(17) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -55*o**4\/4 - 195*o**3 + 110*o**2 - 1589. Factor x(m).\nAnswer: -5*m*(m + 11)*(11*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -1368, -3103, -5532, -8655, -12472, -16983?\nAnswer: -22188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/150 - (0 + -2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/57715 and 58\/57715.\nAnswer: 57715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1769322 + -0.64.\nAnswer: -1769322.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10*l + 10. Let z be (-4)\/14 + 1\/(-21). What is the second smallest value in l, z, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4)\/(1\/2). Suppose 4*r + y = -20, 0 = 2*r + y - 3*y. Let f = r - i. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -434, -530, -728, -1064, -1574, -2294?\nAnswer: -3260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28890 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 32 = -3*f - 0*f, 0 = -2*f - 12*b + 82 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 5771?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 8. Let i be x(11). Suppose -3*g - l + 120 = 0, 0 = 4*g - l - 3*l - 176. What is the remainder when g is divided by ((-63)\/i)\/1 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 6 = 4*i - 6, -3*s - 1 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-4)\/(12\/(-9))). Put -8, -5, d, 5 in increasing order.\nAnswer: -8, -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2))\/(sqrt(7) + sqrt(7)*3*1).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*r + 11. Suppose 4*q + 32 = r*c, 3*c + c - 30 = 3*q. What is the least common multiple of 11 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(36)\/(sqrt(12)*3) - (-4 + (sqrt(3)*-3)**2)).\nAnswer: -sqrt(3)\/3 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1361.105 and 4.4321.\nAnswer: 1365.5371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/30 - p**2 - 3*p. Let r(x) be the first derivative of n(x). Let a(w) = -w**2. What is r(a(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7370 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (102\/4)\/((-204)\/(-24) + -9)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p + 240. Let o be (p\/18)\/((-2)\/(-3)). Let i be (-5)\/o - (-15)\/20. Solve 2*z - 6 = -i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7592 and -7592 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:15 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 38*l + 84. What is g(18)?\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007493207 rounded to 6 decimal places?\nAnswer: 0.000749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10*24\/(-16). Is -1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 40 = 16*i. Suppose 5 + i = 3*z. Suppose 0 = k + z*k + q + 3, 5*k + 6 = -2*q. Solve k = 2*y - 6*y + 4, -y = 5*u - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/4571532 and 1\/6476337.\nAnswer: 77716044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 7.4. Let b = 1 - u. Let c = 4 + b. What is the third biggest value in -3\/5, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-5)*-1*((-1)\/(-28))\/((-167)\/(-2338)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as -6106\/597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 417*o - 24. Let z(h) = 25*h - 2. Determine -k(y) + 4*z(y).\nAnswer: -317*y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/(-4)*(-316)\/(-395).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 494.\nAnswer: -5\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 174978 <= 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**2 + 3*p - 1. Let b(y) = -3*y + 5. Let l be -1 + (0 - (-3 + 6)). Let t be ((-5)\/l)\/(3\/24). Calculate t*n(h) - 6*b(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 10. Let r = 6 + o. Put -1, -4, r in ascending order.\nAnswer: -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h**3 + 4*h**2 + 4. Let m(n) = n**3 + n**2 + 1. What is -4*m(f) + w(f)?\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, h: 6, u: 2, e: 2}. Give prob of picking 1 e, 1 h, and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/(2\/(-5)). Let g(y) = y**3 + 3*y**2 - y - 4. Let b be g(-3). List the prime factors of 0 + (10 - (b + w)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 4*p + 19*p - 2*p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/60 + 39*f**5\/4 - 221*f**3\/6 - 2*f**2 + 432. Find the first derivative of k(j) wrt j.\nAnswer: -6*j**2 + 1170*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52893?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4 + 19*m**3 - 3*m**5 - 12*m + 17*m**3 - 12*m**2 - 27*m**3 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -140. Suppose 36*g = c*g + 120. Let o = -27 - g. Solve -2*b - o*b + 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n**3 + 32*n**2 + 13*n - 1. Let s(f) = 45*f**3 + 96*f**2 + 38*f - 3. Determine -17*g(k) + 6*s(k).\nAnswer: -2*k**3 + 32*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -10. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -897\/34 - -53\/2. Let t = -0.04 + -0.06. Which is the third biggest value? (a) t (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**2*u*u)*u*u\/u**(-6)*u)\/((u\/(u\/u**(2\/19)*u)*u)\/(u*u**(-1\/2)*u)) assuming u is positive.\nAnswer: u**(319\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 4*h + 4*l - 7, -h - l = -7. Suppose -h*w = -r + 2, -r + w + 1 = -w. Calculate the remainder when 22 is divided by -4*(7 + r)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -2.9.\nAnswer: -0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 6 = 0. Let u = f + 6. Let z = u - -1. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {y: 1, f: 1, s: 3, a: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4*k*k\/(k*k*k**(-2))*k**(-1\/3)\/k**(5\/6))**(-49) assuming k is positive.\nAnswer: k**(637\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + -2 + (-36)\/(-4). Let t be (f\/6)\/(43\/11610). Calculate the highest common factor of t and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495350, 495044, 494738, 494432?\nAnswer: 494126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(sqrt(128) + -2) - (2 + sqrt(128) + sqrt(128)*-2)) + -4 + -5 + sqrt(128)*1)**2.\nAnswer: -624*sqrt(2) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - 0) + -2 + -48 + (737 - 730)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 16, -2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 9471?\nAnswer: 9471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4047 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 267\/(-1)*14\/(-21). Let y = 249 - u. What is the remainder when y is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -4 + -13 + 28\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 6*h**2 - 6*h + 8. Let u be g(-7). Solve 1 + u = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(4 + 1260\/(-316))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*v + 2*l - 5, 0 = v - l + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 302674727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u + 464. Give o(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 922061 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:52 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 275856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.059 rounded to zero decimal places?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + i + 3*i - 10 = 0, -3*f + 5*i - 4 = 0. Let o = -16 - 11. Let r = 27.1 + o. What is the closest to f in 0.2, -1\/6, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25.3 and 0.198?\nAnswer: 25.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-30) + (-2)\/(60\/(-23)))\/((-28)\/(-48))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211001332 (base 4) to base 5.\nAnswer: -133112331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269601 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3691.5 to the nearest 10.\nAnswer: -3690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704152 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 3*r**2. Let p be c(-3). Suppose 3*d - 8*d - 2*w - 6 = p, -w = -5*d - 12. What is the tens digit of ((-258)\/(-12))\/(d\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j. Let z(k) = -8*k + 41*k**2 + 8*k - 56*k**2. Determine z(i(r)).\nAnswer: -735*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 16, -2*g + t + t = 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1 + v**3 + 4 + v - 2 + v + 4*v**2. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*j + 102*j + 234204 = -104*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 473*z + 4 - 1 + 240*z - 1729*z**5 + 253*z wrt z.\nAnswer: -34580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**8\/336 + 11*t**7\/210 - t**5\/10 - t**4\/12 - 475*t**3 - 2*t**2 + 3*t + 13. What is the second derivative of d(o) wrt o?\nAnswer: -20*o**3 + 132*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 16\/3, 2\/17 in descending order.\nAnswer: 16\/3, 4, 0.3, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 12*r**2 + 15*r + 14. Let v be t(-13). Find the common denominator of 21\/4 and (-13)\/22*96\/v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.57 or -140?\nAnswer: 2.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 313314 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.04, 159, 1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.63 + 17.61. Let v = q - -32. Round v to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 150.7801t?\nAnswer: 150780100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 242c?\nAnswer: -242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10172, 20318, 30464?\n\"Answer: 10146*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -1, -83.\nAnswer: -106, -83, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3\/2 (b) -0.4 (c) -12901 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g + 40 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/((74074\/(-5920))\/(-143)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -6, 5, 62, 13.\nAnswer: -6, 5, 13, 25, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 443.26278ns?\nAnswer: 0.00000000000513035625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9612 = -8*j. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 - -16.7. Let o = 14.5 - l. Let y = -0.3 - 0.2. What is the closest to o in 0.2, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4185 + 4185 + 312*g**2.\nAnswer: 312*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5810 + -110388\/19. What is the nearest to -2\/5 in -0.04, 0.5, i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*h + 183 = -3*l, -5*l = 25. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20344 - -1?\nAnswer: 20400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1*(6 - 2)). Suppose 3*c - 5*p + 22499980 = m, 5*c + p - 20681245 + 58181249 = 0. Round c to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:53 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -79. Suppose -2*g + 9 - 1 = 0. Suppose -3*i = -g*i. Put -3, l, i in ascending order.\nAnswer: -3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n**2 - 238*n - 414. What is c(-22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:38 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -859*p - 30021. Calculate q(-35).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:31 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 231 = -127 - 216 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = f + 785*d - 780*d, 5*d = 5*f - 45 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 23 = z, -3*w = 3*z - 2*w - 63. What are the prime factors of 5*4\/50 + 572\/z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-15))\/(2\/(-12)). Suppose b*r = -v + 1257, v - 2 = -5. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -313, -1121, -2649, -5119, -8753, -13773?\n\"Answer: -37*n**3 - 27*n**2 + 30*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 6 = 66. Let j(x) = -x**2 - 8*x - 12. What is j(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/141 + -697\/564. Let b be ((-2)\/8)\/(1\/(-4)). What is the second biggest value in b, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68796 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31687 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 2, q: 2, h: 3, k: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 23. Suppose 3*h = -u + 15. Let f be 24\/h - 2\/(-1). Solve f = -0*q - 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40235583 to the power of 1\/2, to the nearest integer?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120364456 - -12?\nAnswer: -120364444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 24*i**2 - 474*i + 951. Let k(r) = -13*r**2 + 237*r - 477. Let t(l) = -9*k(l) - 5*z(l). Find j such that t(j) = 0.\nAnswer: 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31472, 31516, 31572, 31646, 31744, 31872?\nAnswer: 32036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(3*w**2 + 6*w**2 + 2*w**2).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7631)\/(-5)*(-2)\/(-4). Let x be (-54026)\/(-70) + 1\/1. Let k = q - x. Calculate the common denominator of k and 97\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 461\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206216246 is divided by 919.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*s = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in -1, -0.06, -1\/7, -1\/2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-1631)\/7*1. Solve -91*h + 34*h - i = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*v + 2, -5*v - 4*y + 28 = -v. Suppose -4*l + 6 = v*u, -u = l + 2*u + 6. Put 23, l, -1\/2 in increasing order.\nAnswer: -1\/2, l, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (43 - 49 - -12)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -17. Let d = r - 4. Suppose d*i = i + 64. Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13693033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 8*u**2 + 4*u**2 + 29.\nAnswer: 2*u**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f + 28. Let w be 6\/f - (-1835)\/35. Calculate the greatest common divisor of 78 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -13. Suppose -5*f = -j + 26, k - 28 = -3*j - 5*f. Calculate the highest common divisor of j and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -14*h + 261. Let w = -69 + h. Suppose -4*p - 4 + w = -d, 5*p + 4*d - 7 = 0. Solve 1 = -c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10166, -10150, -10122, -10076, -10006, -9906, -9770?\nAnswer: -9592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n - 2. Let z be m(-4). Let w(v) = 12*v - 3. Let d be w(9). Calculate the greatest common factor of z and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzm when three letters picked without replacement from {f: 2, v: 1, m: 2, s: 6, z: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 200016149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 divided by 72518?\nAnswer: 250\/36259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/4, -1.4, 0.4, 109, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 11939.\nAnswer: 11939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-120)\/(-16) - 6). Suppose g*k = 2*j + 3*j + 168, -j = -k + 87. List the prime factors of k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9982?\nAnswer: 2, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -62*i**6\/3 + 133*i**2\/2 + 72. Find the second derivative of c(k) wrt k.\nAnswer: -2480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4554473, 4554530, 4554587, 4554644, 4554701?\nAnswer: 4554758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (385\/28 - 7) + -6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*z**3 + 7*z**2 - 468*z wrt z?\nAnswer: -210*z + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 5*i**2 + 7*i - 14. Let k be h(-7). Let l = -29 + k. Solve -l*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-180)\/14*28\/(-6). Suppose -4*w - w = -p. Suppose v - w = 12. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18257*g - 2 = -4*a - 18259*g, -5*a + 7 = 2*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -362 + 332.4. Let w = v - -30. Let g = -94 + 472\/5. What is the nearest to g in w, 4, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495964 is divided by 99192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76259*h**3 - 66*h**2 - 5*h + 18 wrt h?\nAnswer: 457554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 25 (c) 674 (d) 6\/25 (e) 1\/3 (f) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -11)\/(-3 + 1). Let z(o) be the first derivative of o**m - 9*o**3 + 7*o**2 - 3*o + 8 + o**2. Let z(b) = 0. What is b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g + 2. Let x(l) = -4*l**2 - 17*l + 9. Let q(b) = -5*s(b) + x(b). Let z = 11 + -6. Give q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85255212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = a + a, 3*d = 3*a. Let q(g) be the third derivative of -1\/60*g**5 - g**2 + d + 0*g**3 + 0*g + 1\/24*g**4. Find the second derivative of q(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80564052?\nAnswer: 2, 3, 6713671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/57010 and -119\/38595770.\nAnswer: 38595770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -338 plus -889?\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) + 415620\/405. Calculate the highest common factor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -95 and -0.76?\nAnswer: 72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khhkkhh. Give prob of sequence hhk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 36*m - 1727. Suppose p - v - 238 = 0, m = -2*p + 4*v + 635. Does 47 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:26 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15000*a**2 + 2727*a - 9. Let l(g) = -1500*g**2 - 272*g + 1. Let u(h) = -21*l(h) - 2*r(h). What is the second derivative of u(f) wrt f?\nAnswer: 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9606474 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.5 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -87*u**3 - 168 - 123*u**4 + 747*u**2 + 102*u + 1012*u**2 - 1468*u**2 - 15*u**5 = 0. Calculate u.\nAnswer: -7, -2, -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5320 and -5319 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832327 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:12 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3327.\nAnswer: 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57232 and 505014?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 2 (b) 11\/12 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004533715813 to seven decimal places.\nAnswer: -0.0045337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 554*q**2 + 553*q**2 - 23 + 138 + 560*q**2 - 1668*q**2. Let g(r) = -2*r. What is b(g(f))?\nAnswer: -4*f**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 10093*s**2\/2 + 60565*s\/4 + 20189\/2.\nAnswer: -(s - 20189)*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 809640 and 12480.\nAnswer: 6477120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-6 - (-3 + 3 - 2)). Suppose k = -5*i - 5*d + 15915, 5*i - 4*d = d + 15895. Let w = 4982 - i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(0 + 0 - 2*w) + (-3*w + w + 3*w)*(-2 + 3 + 0) + 4 - 4 + 2*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1\/105*b**7 + 0*b + 1\/6*b**3 + 0*b**5 + 0*b**4 + 0 + 0*b**6 + 4*b**2. Differentiate x(h) wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - (-44)\/12. Let o(y) = 6*y + 5*y + 4 - d*y. Let n(g) = -g - 1. What is -6*n(k) - o(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57585\/(-618585) - 1*(-6)\/69. Let p = -87 + 437\/5. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*s - 198 = 130*s + 22 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 14*c**2 - 29*c + 53. Let u be t(-16). Let w = -10 + 14. Solve -2*d - 20 = u*a, -2*d - w*a + 9*a = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 11 - (-178 + 164) - 54?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2\/2 - 710*c = 0 for c.\nAnswer: 0, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -56348 - 12?\nAnswer: -56360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2204.25318 and 16555.\nAnswer: 18759.25318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(3\/27). Let g = -3 + x. Let b be (-4)\/10 + (-5)\/(-25). Which is greater: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 455*i**2 - 1107*i - 296847. What is f(-456)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -300 + -782?\nAnswer: -a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 16*x. Suppose -13*w + 70 = -6*w. Suppose w*n - 28 = 8*n. What is the units digit of r(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 167910*d - 10406576.\nAnswer: -(d - 167848)*(d - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 3663186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/40 - (-161)\/230) + 166\/(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 1 i when three letters picked without replacement from wwaakkiwwwkw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25*1 - (-15 - -13). Let k(g) = -g - 34. Let a be k(-12). Let m = v + a. Solve 3*h = m*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -9 - 7) + -1 + 1 - 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 649*b*h*y**2*z - 5*b*h*y + 4*b*h*z - 157*b*y**2 + 12*b*y*z - 894*b*y + 3*b + 49*h*y**2 + 4*h*z wrt y.\nAnswer: 1298*b*h*z - 314*b + 98*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404319936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 3*a - b = b + 112, 2*a = 10*b - 2018 + 2042 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l)*(-2*l + 2*l + 3*l**3 + (2*l**3 + 2*l**3 - 35*l**3)*(-4 + 2 + 0)).\nAnswer: 65*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 90*u. Let g be w(-4). Let n = g - -1439. Does 83 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1933*t + 1192*t + 215*t - 461*t.\nAnswer: 2879*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 30687288?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1337 and 21392.\nAnswer: 21392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Suppose f*u + 2*y + 12 = 46, -3 = -y. Let x = u - 1. Solve -x*q - 22 = -j - q, 0 = -4*q - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 - 149*z**3\/3 - 1511*z**2\/3 + 3481*z\/3 - 606 = 0 for z.\nAnswer: -101\/3, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11164 * -0.1.\nAnswer: 1116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.6522675 to one decimal place.\nAnswer: 323.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0206574 to five decimal places.\nAnswer: 0.02066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/27962 and -107\/246?\nAnswer: 83886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/21))\/(q**(-5\/4)*q))\/(q**(-13)\/(q**(-35)\/q)) assuming q is positive.\nAnswer: q**(-1823\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -136547.193068?\nAnswer: 136547.493068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 120*f**2 + 564*f + 680 = 0.\nAnswer: -34, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -450547 + 450547 - 4185*n to the form q*n + r and give q.\nAnswer: -4185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7216 = 11*l - 22*l. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6599682 - -21.0599257. Let k = d + -20.4. What is k rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 108, 254, 458, 720?\n\"Answer: 29*n**2 + n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-84)\/(-14196))\/((-6)\/(-26)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*d - 11, -3*m + d = 2*d + 5. Let r be (4 - 0)*(-1)\/m. Let z(o) = -6 + 2*o**r + 6. Let a(n) = n. What is z(a(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**3*v**2 + 59*c**3 - 126*c**2*v - 2*c*v**2 - 10 wrt v?\nAnswer: -4*c**3*v - 126*c**2 - 4*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/240 - g**3\/24 - 15*g**2. Factor v(z).\nAnswer: (z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5515 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45381, -45375, -45369?\n\"Answer: 6*b - 45387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1414, 67?\nAnswer: 1414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3159\/11 - -287. Let i be (-2)\/(-3)*(-1 - 52\/(-64)). Put i, k, 1\/5 in descending order.\nAnswer: 1\/5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 63*b - 175. Calculate the smallest common multiple of 29 and x(3).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2 + 4*c**2 + 4*c**2 - 9*c**3 - 8*c**2 wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00323557 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 + 4 = -2*g, 3*y - g = 0. Let c be ((-86)\/90 - y)\/(18\/(-90)). Let h = -31 + 27. What is the nearest to 5 in c, h, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 4757098*s\/3 - 33299980.\nAnswer: 2*(s - 21)*(s + 2378570)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16864, 83272, 193936, 348844, 547984, 791344?\nAnswer: 1078912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 3*j**3 - 3 - j**3 + 0 + j**4 + 1 to z*j + o*j**3 + r*j**4 + p*j**2 + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q + 0 + 0*q**3 + 4*q**2 + 3\/8*q**4. Let p(g) be the first derivative of -4*g**3\/3 + 389. What is n(p(r))?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7357160 (base 8) in base 7?\nAnswer: 22431651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 6*r**2 + 4 + 12*r**2 - 2*r**3 - 6*r**2 to c*r**3 + q*r**2 + f + t*r + i*r**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*t\/((t*t*t**2)\/t))**(4\/9))**(-6\/23) assuming t is positive.\nAnswer: t**(16\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/32, 0.29, 0.5?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 45805.2399 minutes?\nAnswer: 4.544170625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -33, -73, -149, -273?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 16.47, 3, -0.5, 0.2, -15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814, -1684, -2554, -3424?\nAnswer: -4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 6. Let p = -22 - -13. Let g(u) = -u**2 - 11*u + 3. What is the remainder when g(p) is divided by s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/((-12)\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 2*z**4 + 2*z + (17 - 17 - 32*z)*(-z**3 - 5*z**2 + 5*z**2) + 4*z**4 + 5*z**4 - 13*z**4.\nAnswer: 26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23754673 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.5 (b) 8 (c) -14741\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/(-390))\/(8\/10).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5\/7 + 270*f**4\/7 + 4496*f**3\/7 + 1440*f**2 - 14848*f\/7 = 0?\nAnswer: -116, -16, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:43 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*(g\/(g*g**0\/g))\/g*g**(-1\/6)\/((g\/(g*g**1))\/g))\/(g**(-2\/7)\/((g*g**(-2\/3)\/g*g)\/g)*((g**(-3)*g*g)\/g)\/g*g**(-5)) assuming g is positive.\nAnswer: g**(397\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 5*r**2 + 8*r - 6. Let m be t(6). Let l = 114857\/15 - 7657. Which is the biggest value? (a) m (b) 2\/11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/844 and 63\/10.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + n + 16 = 2*n, -2*a = n - 4. Let d = a - 4. Solve c - 4 + d = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-304)\/(-95))*24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472210, -472221, -472234, -472249?\nAnswer: -472266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -579685 (base 15) in base 7?\nAnswer: -50361425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/90 - 13*a**4\/24 + 9*a**2. Let j(l) be the second derivative of u(l). Let q(n) = -2*n**2. Determine q(j(d)).\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1\/55, 2\/7, 2, 2\/19, -77?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + (-3 - -4). Let q(a) = -3 + 3*a - a**2 + r*a**2 + 2*a**2. Let z(x) = -5*x**3 + 2*x**2 - 2*x + 1. Let u be z(1). What is q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304655380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/677?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 51196, 173, 2 in decreasing order.\nAnswer: 51196, 173, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Let v = -8 - -6. Let m be (v\/12)\/((-6)\/8). Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245.0843 millilitres to litres.\nAnswer: 0.2450843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 4. Let r be n(7). Suppose -54 = -q + r*m, 6*q - 2*q - 177 = -m. Let o be (-66)\/(-14) + 8\/28. What is the greatest common divisor of o and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*g, 19*y - 819*g + 816*g + 712 = 0 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -549 + 3263. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cff. What is prob of picking 1 f and 1 c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:20 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -776.495 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 1, s: 3, d: 1, n: 1}. What is prob of sequence knss?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709*191.\nAnswer: 135419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 10)\/(11\/(55\/(-10))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 2*s + 1. Let h(r) = -7*r**2 - 4*r - 2. Let b(m) = 2*h(m) + 5*j(m). Let f be 0 + (-3)\/((-3)\/(-2)). What is the units digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, 46, 370, 1016, 2092, 3706, 5966, 8980?\nAnswer: 12856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4702912767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248 - -247.6. What is the third biggest value in 2\/13, -2, 0.14, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231.646 - -0.354. Let y = m + -140. Let u = y + -73. Sort 2, 1, u in decreasing order.\nAnswer: u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-1*(sqrt(19)*-2 - sqrt(19)))**2)*1 - ((sqrt(2299) + 1)*-1)**2.\nAnswer: -2471 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + (sqrt(68) - (sqrt(68) - ((sqrt(68) + -1 + sqrt(68) - sqrt(68)) + sqrt(68)))*-4)))**2*5.\nAnswer: -640*sqrt(17) + 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20691 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -78 - (215 - 218 - (7 + (2 - 2)))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.028670544 from 13820.2.\nAnswer: 13820.171329456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 2*b**5 - 5*b - 15. What is the first derivative of t(y) wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -6 + -5 + 18 + -6 + -139?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 - 532208\/(-330484)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16*13.3\nAnswer: -212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 69\/46*((-182)\/5 - (-2)\/5). Which is greater: -48 or q?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3169 < -3167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813754 is divided by 133.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - -20) - 1182564\/55260?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967 - 972 - 4*b**2 - 958 + 2*b**2 + 3863 - 966.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -0.2, -9 in decreasing order.\nAnswer: 0.12, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*r + 6*r**2 - 27*r + (-6*r + 4*r + 0*r)*(3*r - 3*r - r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 20 = -d. Suppose 5*o - 2*i = -d + 142, -52 = -2*o + 4*i. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z - 0*z. Let l(a) = 32*a + 1. Let k be l(z). Let c(b) = b + 26. Let w be c(0). Calculate the greatest common divisor of w and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/17 + 20*h**2\/17 - 66*h\/17 + 72\/17.\nAnswer: -2*(h - 4)*(h - 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t + 1230. What is the remainder when t\/4 - 4\/8 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59455 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 126477*b**2 + 388695384*b\/5 - 59815261968\/5.\nAnswer: 3*(b - 210179)*(b - 308)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131.6 + 126.6. What is the second smallest value in 0, -198, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 110330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 14*q + 12. Let s be k(-10). Let h = -19 - -171. What is the remainder when h is divided by (s\/(-12) - 3)*6\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let q(p) = 2046*p. Determine j(q(w)).\nAnswer: -4092*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 2, r: 1, f: 4}. Give prob of sequence yf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1831, 2285, 2725, 3145, 3539, 3901?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 25. Let j = -31 + 31. Let h be d(j). Solve 2*m = 3*y - h, 4*y - 2*m - 3 = 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4241 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*i**3 - 12195648*i + 12195648*i.\nAnswer: -432*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 17. Let h be l(-4). Let z be (-8 + 112)\/((-3 + h)\/(-4)). What is the highest common divisor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 17 = -3. Suppose -264 = 31*b - 42*b. Solve -4*w + b = -o*z, 2 = 2*w + 2*z + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 120 = -t - 3*y, -4*t = 5*y - 205. Let i be (-43)\/(-9) + 10\/t. Let d = 8 - i. Solve 0 = d*b - 7 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 51064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 628173575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 3\/2, 1\/2, -5, -586 in decreasing order.\nAnswer: 3\/2, 1\/2, -0.04, -5, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.757 + 0.243. Let j = 2.5 + -3. Which is the second smallest value? (a) 0.3 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 848, -2\/7, -0.3, 4?\nAnswer: 848","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041199 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 5. Let g = 5 + -10. Let o(p) be the third derivative of p**5\/60 - p**3\/6 + 90*p**2 - 67*p - 1. Calculate g*o(k) + f(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8*r - r + 3*r)*(3 + 1 + 6)*(0 - 3 + 2) + (-2*r - 2*r + 2*r)*(5 + 0 - 3))*(-7 + 7 + r) in the form f*r + z*r**2 + y and give z.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Let u(x) = x**3 - 32*x**2 - 34*x + 90. Let n be u(33). Suppose n*p + z = 59*p - 18, 0 = -4*p + 5*z + 30. Sort 5, h, 2, p.\nAnswer: h, 2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -10, -2 + 37 = 2*w + t. Calculate the lowest common multiple of w and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77414, -309641, -696682, -1238531, -1935182, -2786629, -3792866?\nAnswer: -4953887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 49668 - 49687 + 99376 = -4*w, -4*h = 3*w - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.03 * -45.\nAnswer: -46.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/669 and 23\/27652?\nAnswer: 82956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24353936 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 1, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 + h - 8. What is the units digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + d = -1 - 7, 0 = -4*s + 2*d + 10. Solve -22 = i - s*i - 5*v, 3*i - 5*v + 17 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*i - 4*s - 240, 4*s + 436 = 4*i. Suppose -100*d = -i*d + 176. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/15 + 13*n**2 + 2. Let l(f) = -8*f + 1. Determine l(a(u)).\nAnswer: 32*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 14*k**2 - k - 37. Give w(-13).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:22 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271010 is divided by 1479?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:46 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r + 3. Suppose k = -r*k + 24. Suppose -m + k = m. What is the remainder when 12 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 4*t. Let u(j) = 2*j**2 + j. Let b(s) = -k(s) - 4*u(s). Let p(h) be the second derivative of 11*h**3\/6 + 12*h. What is b(p(m))?\nAnswer: -484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2076203 or 2076200?\nAnswer: 2076200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w**5 - 228*w**4 - 1324*w**3 - 3384*w**2 - 3510*w - 756 = 0. What is w?\nAnswer: -7, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17) + -1 + 0 + -2.\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 - 67721560?\nAnswer: -67721373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3 + 105\/(-36))*24\/(-18). Let t(d) be the third derivative of 0*d**4 + 0*d + 0*d**5 + 22*d**2 - 3*d**j + 0 + 1\/24*d**6. Differentiate t(v) wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-85)\/(-102)*2\/10. Let q(o) be the second derivative of -o + 0 - 1\/24*o**4 - 1\/4*o**2 - t*o**3. Factor q(x).\nAnswer: -(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24488*p**6 + 12334*p**2 + 7*p wrt p?\nAnswer: 2938560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1482 + -1379. Let c = -103 + q. Factor -1\/2*k + c - 1\/4*k**2.\nAnswer: -k*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817505 is divided by 12448?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t + 0 + 1\/30*t**5 + t**3 + 1\/8*t**4 + 7*t**2. What is the remainder when n(-5) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37677002*g**2 - 145500301*g wrt g.\nAnswer: -75354004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -808678 (base 9) in base 15?\nAnswer: -96cdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a + 3. Let s be b(1). Let y(k) be the second derivative of -k**4\/12 - 4*k**3\/3 - 7*k**2\/2 + k - 1. Calculate y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + (43 - 42) + -4 - -16?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171053471*p**2 - 171053471*p**2 + 413*p**3.\nAnswer: 413*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 1 e when three letters picked without replacement from kregt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5748786 divided by -106459?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 + 1056. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1)\/((-44)\/(-8))). Suppose 0 = 3*k + 5*b - 5 - 5, 5*b = 5*k - 30. Solve -2*i = n - m, -k*i + 23 = -i + 3*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1392, 2780, 4168?\n\"Answer: 1388*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 7*w + 41482, 0 = 5*p + 9*w - 6*w - 69166. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 324 = 2*u. Let w = -72 - u. Calculate the highest common divisor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*l + 3*l - 37, 13 = -4*r + 5*l. Suppose 2*h + 2 = r*h. Is 11 a factor of 1 - (-10 - -2 - h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/100)\/((-2)\/60)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 948. Calculate the remainder when 77 is divided by (-3)\/9 - o\/(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22002 (base 12) in base 14?\nAnswer: 12534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f**2 + 3*f + 10. Let h(j) = -j**2 - j. Let n(w) = 3*h(w) + s(w). Differentiate n(t) with respect to t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.33197 millennia to centuries.\nAnswer: 893.3197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87774448 by 5.\nAnswer: 87774448\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*s + 2070, 4*s = 5 - 25. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 6*g**2 + 4*g + 1. Let k be s(5). Differentiate 172 - k + 2*f - 47 - 45 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*l + 2, 0 = -3*r + l - 11399. What is r rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321223232021 + 302?\nAnswer: 321223232323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + ((-288)\/(-40))\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-27) - 3\/(-3). Let t = -0.2 + 1.2. What is the nearest to t in -0.5, c, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 = 4*m, -12*q = -17*q - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-344 + 69*p - 2556 - 68*p)*(-4 + 1 + 2) to g + x*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19475030 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Suppose -p*s + 50 - 28 = 0. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/696217 or 0?\nAnswer: -2\/696217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -0*j + 14*b + 14*b - 29*b + 323, 19*j - b - 2031 = 0 for j.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 d when four letters picked without replacement from dwwwwwwdwwwwwwwwwwww?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 413, 406, 397, 386, 373, 358, 341?\n\"Answer: -x**2 - 4*x + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, -0.5, -4, 0, -179, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 7, -2, -44 in descending order.\nAnswer: 96, 7, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 1, m: 2, n: 2, w: 4, s: 1}. Give prob of sequence mmn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391535000 rounded to the nearest 1000000?\nAnswer: 392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 0*g**2 + 4 - 3 - 2*g**2 + (-7 + 2 - 1)*(0*g**2 - 4*g**2 + 2*g**2).\nAnswer: 10*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*a**2*j**2 - 10*a**2*j - 2*a*j**2 - 332*a*j wrt a?\nAnswer: -168*j**2 - 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4928)\/(-264)*(-6)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 13. Let f be c(2). Suppose -2*w + 99 = -2*z + f*z, z - 23 = -2*w. Suppose 0 = -14*h + z*h - 150. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22974142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/24 + 59\/4. Let b be 1 + a + 2*-1. Suppose v = -v + b. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p + 10 = 0. Let s = p + 39. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 4. Suppose -3*d - 3*f + 6 + 0 = 0, 0 = 3*d - 2*f - g. Solve -d = -2*t + t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 7*f**2 + 6*f - 29. What is d(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111461383 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792626 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36907890.\nAnswer: 2, 3, 5, 1230263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/2 + 288*j**2 - 570*j - 2296 = 0.\nAnswer: -2, 4, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 257484 and 9546?\nAnswer: 9526908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*r - 12, -4*z = -4*r + 12 - 0. Suppose -4*d = -1 + 5, 55 = 4*w + d. What is the lowest common multiple of r and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681349 less than 0.873?\nAnswer: -681348.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 11, 60, 147, 278, 459, 696?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + 4*z + 5. Let m(d) = d**2 + 13*d + 16. Let s be m(-11). Let y(t) = 14*t**2 + 11*t + 14. Let g(l) = s*y(l) + 17*q(l). Factor g(j).\nAnswer: (j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v + 6. Suppose -35 = -3*a + l - 13, 4*a - 28 = 2*l. Let w be (-15)\/v*a\/5. Solve -3*s - 8 = -2*u, 6*s + 4 = w*s + 2*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8554)\/(-130))\/((-168)\/(-120)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*o + 5, j - 15 = -3*o + 6*j. Does 17 divide (o*124)\/(-4)*(-3)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/15*(-23520)\/(-3136)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/4 (b) 2 (c) -1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**5\/4 + 345*k**4 - 6813*k**3\/4 - 1380*k**2 + 6825*k = 0?\nAnswer: -2, 0, 2, 5, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 + -39 - 84) + (-6 - 1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10625 = 11*x + 604. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + 33*m**2 + 6*m - 14. Let f be d(-8). Let y(g) = 807*g**3 - 3*g - 400*g**3 + 3*g**f - 2 - 406*g**3. Determine y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 9*i**2 + 12*i.\nAnswer: -3*i*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*(14\/6)\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c + 0 + 0 + (c - 2*c + 3*c)*(-3 + 2 + 3) + 3*c - 4*c + 3 + 2*c as r + k*c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89185.27t in micrograms?\nAnswer: 89185270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:25 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 86 + 178 - 273 = 5*i, 389 = 5*i - 7*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(10) + (sqrt(100)\/sqrt(160) - sqrt(10)) + sqrt(10) + sqrt(10))\/(sqrt(242) - sqrt(242)*-2) + -4.\nAnswer: 3*sqrt(5)\/44 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 52 + (0 - 2) + -3 + -2 + -17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. What are the prime factors of -18*u\/(-4)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 375, 760, 1145, 1530?\n\"Answer: 385*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g = 63*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 12*v + 13. Let h(x) = -6*x**2 + 23*x - 25. Let t(g) = -4*h(g) - 7*q(g). Suppose 5*a + 8 = -2, 3*s - 16 = -a. List the prime factors of t(s).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -605*u**4 + 55490*u**3 - 495585*u**2 + 1096600*u + 348500 = 0?\nAnswer: -34\/121, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**4\/b)*b*b)**(-9\/2) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v - 3*l - 24, 2*l - 127 = 3*v. Let m = v + 39. Suppose 3*a = -m*g - g + 535, 0 = 4*g + 3*a - 2176. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1417218 and 7486?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-576)\/(-180)*175\/60)\/((-8)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 - 2*s**4 + 6*s**4 + (-s + 5*s - 2*s)*(-s**3 - s**3 + 0*s**3) + 5*s**4 - 2*s**2 + 2*s**2 + (5*s + 2*s**2 - 5*s)*(-6*s**2 - 4*s**2 + 4*s**2).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 19 in ascending order.\nAnswer: -13, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -882166.8 rounded to the nearest one thousand?\nAnswer: -882000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - -4*14\/7. Find the common denominator of 67\/24 and y\/(-10) + 4294\/(-10830).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcxc when four letters picked without replacement from {x: 8, b: 7, c: 5}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -65.5 (b) 0.2 (c) -3\/5 (d) -2 (e) 0.4 (f) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let g(r) = r + 10. Let x be g(-6). Suppose 8 = x*o - 0*o. Solve a*q = -1 - o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 12 = q. Suppose 3 - 12 = -q*s. Solve -s*t - 2*t - 3*o = -28, 3*t - 4*o - 11 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4624*i**5 + 2*i**3 - 12*i**2 + 3*i - 25.\nAnswer: -277440*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*a - 20 = 414*a - 6*n, 2*n + 8 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -69338 smaller than -69339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(114\/(-456)). Solve -h*t - 12 = -3*k, -t - 6*k = -7*k + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55560 and 12000960?\nAnswer: 12000960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/385570 and -23\/115671.\nAnswer: 1156710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:00 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 544 - 542. Solve 0*q**l + 0 - 3\/4*q**3 + 0*q - 3\/4*q**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - (-351)\/15. Suppose c - 108 = -5*i. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t + t. Suppose -5*s = 4*x - 3, -3*s = t + 2. Let u(g) = 2*g + g - x*g + 5*g. Let p(h) = -2*h**2. Calculate u(p(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/9 - 25671458*t\/9 + 164755938961441\/9.\nAnswer: (t - 12835729)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*s = -124 - 98, -214 = -4*v + s. Calculate the remainder when 1058 is divided by v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50403 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 = -8*y + 343 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = -0*n. Let j = -6 + 7. Let g = 2 - j. Which is the closest to -1\/3? (a) g (b) -4\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0839 + -0.3839. What is the third biggest value in 7, 0, -1, q, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 3.1. Let b = -3.6 - l. What is the closest to b in -3\/5, 5, -2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (83 - 86)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15467482*w**4 - 2*w**2 - 7113557?\nAnswer: -371219568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3552515.\nAnswer: 5, 710503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113915*m + 113928*m - 260 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1353 by -3.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.548 - 1.4389. What is y rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(3\/19)))**(5\/3)*o\/((o**(-27\/7)\/o)\/o)*o**(1\/7)\/o assuming o is positive.\nAnswer: o**(119\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*t + 5*z, 3*z = t - 4 - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3 + 4*m + 4*m + 2 to j + z*m and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 30. Find the first derivative of 17 - 6*d**3 - 36 + b wrt d.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*p**2 - 309*p**2 - 16*p - 822*p**2 - 1409*p**2.\nAnswer: -2120*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 1:09 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268706, -1074807, -2418308, -4299209?\nAnswer: -6717510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 259. Let d = u + 128. Solve -3 = -d*w - 0*w - h, 11 = 3*w - h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 12. Suppose -s*a + 0*a = -2*j - 25, -4*j - 25 = -a. Solve 4*n + 6 = -5*o, -6*o = -2*o + a*n + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1283*f - 767*f - 1286*f - 1383*f - 586*f as q*f + d and give q.\nAnswer: -2739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 43*b + 2. Let d be h(2). Suppose l + 3*l - d = 0. Let z(i) = 13*i + 3. What is the least common multiple of z(1) and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3552 and 8446.\nAnswer: 15000096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 - 507*p**2 - 25191*p - 330237 = 0. Calculate p.\nAnswer: -453, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:03 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8163 + -7.8163. Put -1\/3, -1\/6, i, 5, 4 in descending order.\nAnswer: 5, 4, -1\/6, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 6781 - 6801 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(-6*(-1*sqrt(1372) + sqrt(1372)))\/((sqrt(108)\/sqrt(3)*-2)\/sqrt(9)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-5) - (2 + -1). Solve k*h + 6 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 - 4*k - 6. Is p(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3194052 = -3194050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3774)\/(-714))\/((-550)\/770)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96345341 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5900.802s in milliseconds?\nAnswer: 5900802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63824 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21903, 21904, 21917, 21948, 22003, 22088?\nAnswer: 22209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1337.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8655404.7 rounded to the nearest one hundred thousand?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 - 1905*w + 9552. Determine z(5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(-6) - 1\/(-3). Let w be (-28)\/4*(-2)\/7. Suppose 2*y - w = -8. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248 and 24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4240 + 4239. Let c = -1 + -1. Let x = -3.97 - 0.03. What is the nearest to 0.1 in c, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 698473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342\/21 + 3 - 2\/7 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/68*(-12)\/9)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 133 + (46\/10 - 12\/20). Suppose -37 + b = o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229290 divided by 328.\nAnswer: -114645\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d + 25. Let h(s) = 8*s - 12. Let j(v) = 3*c(v) + 7*h(v). Let p be (-423)\/(-39) + (-4)\/(-26). Is j(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -3, -0.032, 1 in decreasing order.\nAnswer: 1, -0.032, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*u + 25, 2*u + 6 = -0. Suppose b - 96 = -2*z, 4*z + a*b - 115 = 77. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18725 is divided by 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*k - 36, 0 = -0*k + 2*k + 10. Suppose -z*u + 355 = -433. Is 33 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(3\/7)*z**(1\/5)\/(z\/(z\/(z*z**(-1)\/z*z))) assuming z is positive.\nAnswer: z**(22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.88 + 0.12. Put -4\/7, -5\/2, s in increasing order.\nAnswer: -5\/2, -4\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 67 = -o. Let j be 3*-1*((-80)\/(-10) - -143). Let x = j + 464. What is the greatest common divisor of x and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**6\/10 - r**5\/3 + 3*r**2. What is the third derivative of h(s) wrt s?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.42 - -0.02. Let s = q + 0.6. What is the second smallest value in 0.3, 4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 272, 670, 1226?\n\"Answer: 79*i**2 + 3*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 less than or equal to -511\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away -802.44?\nAnswer: 802.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(18\/7)))**(-2\/121))**22 assuming x is positive.\nAnswer: x**(-72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13)**47 assuming i is positive.\nAnswer: i**611","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from ahhhhhhhhahhaahhaa?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -587\/7 + 2453\/28. Let b = 19535 + -507985\/26. What is the common denominator of y and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t + 1. Let r be h(0). Put -9, r, -5 in ascending order.\nAnswer: -9, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1032 by 87.\nAnswer: 344\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/49, -5, -0.01407, -2\/3, -1\/3?\nAnswer: -0.01407","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-15)\/(-9) - 4\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 - 88*q**2 - 9*q - 4528.\nAnswer: 3*q**2 - 176*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13 - 6 - l**2 - l**3 to z*l**3 + g + j*l**2 + x*l and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 11960.\nAnswer: -1\/2990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36844, 36845, 36844, 36841, 36836, 36829, 36820?\n\"Answer: -l**2 + 4*l + 36841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 18*a = 2. Let z be (-41 - a)\/4 + -1 + -3. Is z <= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852371?\nAnswer: 2852371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 683974 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 13*o**2 - 12*o + 15. Let a be z(12). Let q(k) = -15 + a - 2*k**2. Let t(c) = -15*c**2. Calculate q(t(h)).\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 17138 + 5723 + 5724 + 5691.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-9)\/6) - 2. Suppose c = 5*q - 1 - 9. Suppose q*g - 2*k = -5*k - 17, 11 = -2*g - k. Round g to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h + 9. Let q be o(10). Suppose q = 5*y - 136. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -469, -1359, -2973, -5527?\nAnswer: -9237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-6)*(-12)\/(-8). Let v(s) = -4*s + 6. Let m(w) = w - 2. Let n be 2\/(-3) - 21\/9. Let p(c) = n*v(c) - 10*m(c). What is p(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.8 less than 10?\nAnswer: 39.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 14, -42\/5, -0.74?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8039204069?\nAnswer: 13, 17, 36376489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(3*c + c - 2*c + 7*c - 6*c + 14*c + (-c + 4*c - c)*(2 - 3 + 2)) - 4*c + 3*c + 2*c + (0*c + 3*c - c)*(3 - 3 + 2).\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2744167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45453 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*b - 11. Let r be -1 + 7*(-3)\/b. Suppose 2*c = 2 + r. Solve 2*x + c = 0, -5*k - 5*x - 22 = -4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -102. Let o = 71 - s. Solve 4*a + z = -o*z - 16, 2 = -a + z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1377)*6*6)**2 - ((sqrt(1377) - -2*sqrt(1377)*5)**2 - ((sqrt(1377) - sqrt(1377)*-2) + 5)**2).\nAnswer: 270*sqrt(17) + 1630393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:41 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 991202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2. Let g(l) be the first derivative of 1\/120*l**5 + 5 + 3*l**3 + 0*l**4 + 0*l + 0*l**2. Let k(s) be the third derivative of g(s). Give b(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 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: Round -7636223.474 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*n + 2 + 70*n + 27*n)*(63 + 28 + 263 + 204 + 9).\nAnswer: 81648*n + 1134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = -4*f, -f - 7 = -i - 2*i. Suppose 4*t + 2*r - 300 = 0, t + t - i*r = 170. Suppose 41 - 6 = 5*k. What is the highest common factor of k and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247772 is divided by 40908.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 969211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9784027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7199 + 2015 = -36*x. What is the greatest common factor of x and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**3 - 2209 + 5*g**2 + 2209.\nAnswer: -9*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:27 AM?\nAnswer: 603","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29639 is divided by 9872.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*x**4 - 6*x**3 + x - 268?\nAnswer: -876*x**2 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67454, -136147, -204840, -273533, -342226, -410919?\n\"Answer: -68693*o + 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 16*f + 29. Let b be k(2). Is b bigger than -1\/3211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*(-3 + 54). Suppose 32 = 2*h + x, -h - 4*x - 59 = -4*h. Calculate the greatest common factor of h and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(sqrt(70) - (1*sqrt(70) - sqrt(70)) - sqrt(70)))\/(sqrt(250) + sqrt(250)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*q + 2510 = 0, 3*f + q - 3569 = 188. Let b = f - 800. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 158d0c9 - 0?\nAnswer: 158d0c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:16 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c - t - 7 = 0, -4*t = -4*c - 20. Let w = -32 + 23. Let z = c - w. Calculate the greatest common factor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 1 = 29*k - 26*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*o**2*w**3*z + 3423*o**2*w**3 + 2*o**2*w**2*z - 5*o**2*w*z - o**2*z - 64*o*w**2*z - 2*w**3*z - w**2*z - 41*z wrt w.\nAnswer: 192*o**2*z + 20538*o**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1197634790 and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 4) to base 3.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 21 = 20, -2*z + 93 = -5*y. Calculate the greatest common factor of 5243 and z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 17. Let p(u) = -6*u - 17. Calculate 5*d(j) + 6*p(j).\nAnswer: -j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -605*l + 2031*l - 94*l + 15*l - 282*l to i + b*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 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 tens digit of 364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.55714 to two dps.\nAnswer: 9.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-6) + (-5)\/(-15). Let g(d) = 14*d**2 + d - 9. Let q(h) = 7*h**2 - 4. Let n(w) = -2*g(w) + 5*q(w). Is n(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 83*u + 87*u - 175*u. Let h(r) = 23*r. What is b(h(y))?\nAnswer: -115*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v + 2*m + 36 = 100*v, -3*m = -4*v + 33 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -139 + 41. Is t\/70 - 3\/((-15)\/2494) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 196 - 156. Sort -141, 1, g, -1, 0.\nAnswer: -141, g, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**3 + 13*k + 13. Let y(z) = -4*z**3 - 6*z - 6. Suppose -5*f + 40 = -7*f. Let i = f - -26. Give i*g(p) + 13*y(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3, 20 in increasing order.\nAnswer: -1\/6, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)\/(3\/6). Let n = -0.2 + 0.2. Put 3, d, n in ascending order.\nAnswer: d, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g. Let a(k) be the third derivative of 5\/24*k**4 + 0*k**3 + 0*k + 0 + 20*k**2. Calculate i(a(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 5*x, 4*x - 3 = u - 9. Solve -7*w + 8*w - w**2 - u*w = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6404*v + 6411*v + 63 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 37\/5, 4, 1.29, 0.1, -1?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-4)\/32 - 4220\/48. Let k = -88 - j. Which is the third biggest value? (a) -0.4 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Suppose -l*d - 1 = -35. Calculate the greatest common factor of 153 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/2 + 2945043*q**2 - 270948717*q\/2 + 1557964248 = 0. What is q?\nAnswer: -1963408, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -22343?\nAnswer: -22343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91057, 182120, 273191, 364276, 455381, 546512?\n\"Answer: a**3 - 2*a**2 + 91062*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 349 = 3*n, n + 37 = 2*s - 96. What is the highest common factor of s and 510?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 117*b**2 - 112*b**2 + 7*b**4 + 232*b**2 + 5*b**3 to the form l*b**4 + s*b**2 + c*b + t + i*b**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5414*k**5 - 21*k**4 - k**3 + 2*k**2 + 20027012*k?\nAnswer: -324840*k**2 - 504*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, 12, -119, 1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*y - 45 = 0, -3*r - y + 27 = -2*y. Let v = 14 - r. Put 0, 2, v in decreasing order.\nAnswer: v, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95248967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -5572 divided by -199\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2123, -8022.\nAnswer: -8022, 2, 2123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(5000) + sqrt(5000)*-1)\/sqrt(5))\/(3*sqrt(50)\/(sqrt(20)\/sqrt(2) + sqrt(10))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.48, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v**5 + 16*v - 9*v**5 - 14*v**5 wrt v.\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/99 and -16\/165?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-3 + 5 - -1) + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (1 - (12 + 3 - (-28 - -29)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose -s - b*z - 12 = 0, -2*s + z + 2*z = -9. Suppose -k + 7 = -s. What is the remainder when 13 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.90645 + 0.12795. Let u = a + -24. What is u rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/40 + (-66)\/495. Let l(t) = -t**3 + 3*t**2 - t - 1. Let v(h) = -2*h. Let d be v(-1). Let b be l(d). What is the nearest to b in 3\/5, k, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - -12.2. Let d = 20 - o. What is the biggest value in -4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-90)\/4)\/3*8\/(-6). Suppose 0 = -n*f + 11074 - 2234. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 0, -5, -0.01, -10, -13, -26\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23413444 (base 6) to base 15\nAnswer: e730a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -12, -0.3, -0.4 in descending order.\nAnswer: 0.3, -0.3, -0.4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 10, -0.001, -15 in ascending order.\nAnswer: -65, -15, -0.001, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.61 - 0.91. What is the closest to 1 in -19.7, -2\/21, -0.1, l?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100\/48 + (-2)\/(-8). Let t = -2 + p. Is t at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 56616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156877 is divided by 265.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**18)\/a)\/(a**5\/a))\/(a*a**7*a*a)**(-3\/13) assuming a is positive.\nAnswer: a**(225\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840592 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*3*5)\/(sqrt(60)\/sqrt(5)*4).\nAnswer: 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkhkkkk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10090 + -10087. Factor 0 + 3\/4*a**4 - 3\/2*a**2 - 3\/4*a**k + 0*a.\nAnswer: 3*a**2*(a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213047 (base 11) to base 3\nAnswer: -122022110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 6. Suppose 34 = -b*u + 38. Solve u*w + 10 = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-8)\/(-48)*7\/(35\/(-10)). Which is the fifth biggest value? (a) 9 (b) -4 (c) l (d) 0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389482.\nAnswer: 2, 23, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:29 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/18*(-28 + -105 + 178)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(1\/3*-3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.2679l in millilitres?\nAnswer: 639267.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 4:13 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**4))\/((j\/(j*j**(-2)\/j))\/j))\/(j**(-2\/11)\/(j\/(j\/(j**0\/j)))))**(2\/119) assuming j is positive.\nAnswer: j**(-150\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -43*l + 1. Let i be m(-3). Suppose a - 21 = 10. Let j = 44 - a. What is the greatest common factor of i and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wccuzwczwz. What is prob of sequence zzu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 288, 49, -182, -405?\n\"Answer: 4*f**2 - 251*f + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 6)\/(1 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/180 - i**5\/30 - i**3\/3 - 3*i. Let j(w) be the second derivative of c(w). Factor j(p).\nAnswer: -2*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 7. Let p = -84 - -30. Let q be (-12)\/p + 32\/18. Suppose 3 = -o - q. Calculate n(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2. Let c(o) = -o**3 + 15*o**2. Give 6*c(j) + 22*v(j).\nAnswer: -6*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-50)\/(-6) - -1)\/(32\/(-624)). Let u = c - -173. Is u greater than or equal to -19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(0*o + 0*o + o**2) - 3*o**3 + o**3 + o**3 + 0*o**3 - 3*o**3 - o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 515, 503, 477, 431, 359, 255, 113?\n\"Answer: -j**3 - j**2 - 2*j + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5749, -5710, -5639, -5530, -5377?\n\"Answer: t**3 + 10*t**2 + 2*t - 5762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/60 and (2\/(-12))\/(24\/(-1494)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 656 + 468 + 572*t**3 + 271 + 742*t**3 - 260 wrt t?\nAnswer: 3942*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**2 + 3*c - 7. Let n(f) = 1. Calculate -5*n(g) - r(g).\nAnswer: -18*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*r - 286 = 408 + 1070 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 64*j**2 - 23*j**4 - 3*j - j + 5*j**4 + 20*j**4 + 2*j**3 as q*j**3 + w*j**2 + s*j + h*j**4 + l and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d**2 + 1. Let p be ((-2)\/(-4))\/((-1)\/(-2)). Let s be i(p). What are the prime factors of (-66)\/s - 10\/(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -135975\nAnswer: -29\/135975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r - 70. Calculate k(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -12.12. Let y = -4.033 + -0.087. Let o = c + y. What is the nearest to 0 in o, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*z + 2*f + 3, -f = -4*z + 31. Let x = 11 - z. Suppose -x*s - 4*p = -0 - 19, 3*s + 3*p = 18. Let v(w) = w**2 - 5*w - 7. Calculate v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let d be i(-4). Solve 0*n = d*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-26)\/(-4)*(-3)\/6 and 13\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -8*l. Let w(v) = 2*v - 1. Let q be w(-1). Let k(r) = -2*r**2 - 4*r - 2. Let a be k(-2). Put a, l, q in ascending order.\nAnswer: q, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4*j - 7*b**3*j**2 + 4*b**3*j - 7*b**2*j**2 + 35*b wrt b.\nAnswer: 72*b*j - 42*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Let t be 4*f\/8*1. Suppose v + 5 = -t*q, -q = v - 0*q - 3. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271.2232*9\nAnswer: -2441.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -8 - 2. Suppose -a*k + 26 = -8. Suppose t + 54 = 173. What is the highest common factor of t and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3250377 (base 9) to base 7\nAnswer: 20560015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386558842.\nAnswer: 2, 577, 334973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.38 - 12.38. What is the second biggest value in 0.4, -3\/5, -33, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17195 - 12193. Suppose 20*p - 26222 = -r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4217943772 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 966 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4*k - 3. Let c = 21 - 23. Let j be h(c). Solve -5 + j = 4*i - v, 0 = -2*v - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 1. Let w be c(-4). Let u = -7 - w. Let m = -4206 - -4216. What is the greatest common factor of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23529 is divided by 755?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42030823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 10*g + 66. Let t be i(6). Solve 0 = -s - 2*l + t, 0*l - 2 = s - 2*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11025.684 and -0.015621?\nAnswer: 11025.699621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 + w**4 - 2*w**3\/3 - 2*w**2\/3 + w - 1\/3.\nAnswer: -(w - 1)**4*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 3, k: 3, f: 3, c: 4}. Give prob of sequence cg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4020*j - 30 = 4025*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1964573 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -44*u**2 + 33*u + 33. Let r(a) = a + 2*a**2 - 68 + 69 - 3*a**2. Calculate -m(t) + 33*r(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 1 + (-11 - (-4 - 3)) + 0\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*z - 23*z - 11*z)*(z - z - z)*(2 + 1 - 1).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -112?\nAnswer: -3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3175367 is divided by 201.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82062, 164146, 246230?\nAnswer: 328314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 119*i + 400. What is j(-5)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 + l - 7. Let k be n(5). Is (5 - 7)\/(k\/63) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*248\/31\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*2\/6 + (-92395)\/(-51) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7609 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30247487 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 2*y**3 + 418*y - 419*y + y**2 + 0*y**4 as f + l*y**2 + k*y**3 + i*y + g*y**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) - (sqrt(36)\/sqrt(6))\/sqrt(2)) + 1*(((-2*sqrt(24))\/sqrt(8) - sqrt(3)) + 5).\nAnswer: -2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 16*l**2 - 13*l + 21. Let i be s(-15). Which is smaller: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -2\/13, 43, 0.5, 0.05 in ascending order.\nAnswer: -2\/13, 0.05, 0.5, 5, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let w(j) = j**3 + 27*j**2 + 52*j + 53. Let d be w(-25). What is the closest to 0.2 in r, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 3)*(21 + 25 - 91) - 4 - 13 + 12)*(4*v**2 - v**2 - 4*v**2).\nAnswer: 140*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 + 5*s**3\/3 - 7*s**2 - 7*s. Suppose -4*m = 2*j + 2, -5*j - 123 = -3*m - 53. What is q(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = -31*z + 420. Let u be (0 - -29) + (-103)\/103. What is the greatest common factor of u and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87467350 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -923328 by 687.\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 - 679814*s**3 - 57770083810*s**2 - 288829345186*s + 346600108812 = 0. Calculate s.\nAnswer: -169951, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20025072 to the nearest integer?\nAnswer: 4475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 190984 = -3*u, 3*u + 0*p - p - 190976 = 0. Suppose u + 243783 = 23*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5 = 4*j, 11*j = 9*j - 2*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:47 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/347 in 4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 13. Let u be y(-8). Suppose 3*g = -2*n + 160, 4*n - 93 = 3*n + u*g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4165, 8329, 12495, 16663, 20833?\n\"Answer: i**2 + 4161*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18333 = -228*r - 492*r + 41*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 28695.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 - (-37 + -1). Let p = 3 + q. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (245*b - 125*b + 1 - 126*b)*(-23*b - 53*b - 25*b) to l*b**2 + y*b + u and give y.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + -713?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9233 is divided by 1795.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1300 - -1424. What is the least common multiple of u and 52?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 0 - (-30 + 1 + -29 + -12 + 65).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -45. Let s = 41 - z. Let m(p) = -7*p**3 + p**2 - p + 1. What are the prime factors of m(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12, -3*f - 2*v = -3*v - 37. Let o be 165\/(-44)*4\/(-3). Suppose -6 = -o*w + 3*w. Sort 0, f, w.\nAnswer: 0, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155720, -5, 3, -2, -1 in decreasing order.\nAnswer: 3, -1, -2, -5, -155720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 5. Let j be h(-6). Let p be 2\/((-27)\/(4 - 7)). Sort j, 2, p.\nAnswer: p, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-3))\/(89\/(-534))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12145 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 17. Let z be a(8). Solve -3*h - 4*b + 8 = 0, -z*h + 2*b - 26 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(480\/10)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -283*n**3 + 14*n**2 - 3. Let s(v) = -189*v**3 + 10*v**2 - 2. Give 5*a(g) - 7*s(g).\nAnswer: -92*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 161*u**2 + 42*u**2 + 24*u**2 + 59*u**2 + 34*u**2.\nAnswer: -3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59024.475 microseconds?\nAnswer: 0.0000163956875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14424511 + -1422?\nAnswer: -14430333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 2 + 3*y**2 + 5*y**2 - y - 4*y**2. Let g be t(3). Let w = g - -1. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 8. Let m be f(-8). Suppose -2*b + 5 - 1 = m. Suppose 0 = -3*t - 5*q + 20, 0 = -t - 2*q + b + 6. Solve 4*h = -t*h + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -60. Let x(j) = -t - 548*j - 10 + 524*j. What is the hundreds digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208551828*f + 11*f**3 + 0*f**2 + 0*f**2 + 208551828*f.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261770750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/5))**(-32\/5)*(p**(-2))**(1\/11)*(p\/(p\/p**(-4))*(p\/(p\/p**(1\/7)))\/p*p)\/(((p**0*p)\/p)\/p*p)**(42\/11) assuming p is positive.\nAnswer: p**(-15167\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as -4309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 65. Let a be -2*(-26 - (-2120)\/80). Put a, q, 5, 4 in ascending order.\nAnswer: q, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18015, 36118, 54219, 72318, 90415?\nAnswer: 108510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.796 * -5.81.\nAnswer: -33.67476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 169*i**2 + 26*i - 110. Is a(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169442487 to the power of 1\/2, to the nearest integer?\nAnswer: 34197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z - 10. Suppose 4*y = 8*y + 28000. Let n be 132\/((-13988)\/y + z). What is n rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56488000 rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090.23222 rounded to one dp?\nAnswer: 1090.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -747*d**3*p*r + 4*d**3*p + 5*d**2*p*r + 4*d**2*p - 2*d*p*r + p*r + p wrt d?\nAnswer: -4482*p*r + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:41 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 39. Let l be (-52)\/p + (-6)\/(-15). Let f = l + 0. What is the smallest common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + -13?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*i**2 - 130*i**3 + 23*i**2 + 502*i**3 - 90*i**2 - 531*i**4 + 34*i**2.\nAnswer: -3*i**2*(3*i - 2)*(59*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143912 is divided by 249?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and -16180671393?\nAnswer: 16180671393.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)\/n)**(-9)*(n**(-2\/3))**(-49) assuming n is positive.\nAnswer: n**(179\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 12:37 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstttsttsst. Give prob of sequence st.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11235 (b) -2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/5))**(1\/29))**(-8\/3) assuming h is positive.\nAnswer: h**(-24\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -53, 44, -1\/9.\nAnswer: -53, -4, -1\/9, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3\/8, 1\/7, -3, -3\/4, 610?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8763618 + -8763659.99959. Let h = g - -42. Round h to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 13*v**2 + 17*v + 24. Let y be i(14). What is the greatest common factor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1226267\/20 + 61270. Let a = -218\/5 - r. Which is smaller: 3\/47 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473*v = 3*y - 1477*v + 29, 2*v - 100 = 30*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 339634348 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -0.6.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-34 + 1)\/(0 - 14\/6538).\nAnswer: 3, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-63) + ((-111)\/108 - -1). What is the second smallest value in 0, 0.1, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, -0.28, 0.5, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 35 + 24 + 11 - 3*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153754\/49 - 3138. What is the common denominator of 84\/(-108)*(-62 - 1) and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6*j - 245 = j, 4*m - 221 = j. Suppose -253 - 257 = -10*n. Let y = m - n. Solve 0 = -2*d + 3 + y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3462 and -7\/17310.\nAnswer: 17310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26475 smaller than 26474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 1.60327.\nAnswer: 2.20327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12579)\/(-35) + (-2)\/5. Suppose 2*l = -2*a - o + 63, -4*a - 2*l = 588. Is 2 + 1 - (a - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -81*b**2 - 14*b - 6. Let a(g) = -15*g**2 - 2*g - 1. Let p(y) = 5*a(y) - o(y). Determine p(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:00 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s**3 + 45*s**2 + 49*s + 5. Let o(g) = -3*g**3 - 59314 + 23*g**2 + 10*g**3 + 25*g + 59317. Let f(v) = -3*l(v) + 5*o(v). What is h in f(h) = 0?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/5 - 18*n\/5 + 16\/5 = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggo. Give prob of sequence ggo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -45 + 5 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:44 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3868480 times 48?\nAnswer: 185687040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 28 = 24. Let j(w) = 67*w - 17. Is j(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -38248?\nAnswer: 38247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-37)\/(-6))\/((-1)\/(-2))*2124\/708\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/15 + 386*n**2\/15 + 6952*n\/5.\nAnswer: -2*n*(n - 237)*(n + 44)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 108\/15 + -8 + 0 - 268224\/(-55). Calculate the greatest common factor of d and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 225 = -2*h - x, h + 4*x - 66 = 0. Let m = h + -24. Let w = -12 + m. Do 5 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 1.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 4*g**2 + 0*g**2 + 3*g**2 + g**2 - 7*g**2 + (4 - 4 + g)*(-2*g + 0*g + 3*g) - 2*g**2 + 7*g**2 - 4*g**2 + 11*g**2 - 6*g**2 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 7*i**4\/24 + i**3\/3 - i**2. Calculate the remainder when p(8) is divided by -1 + -6*(-21)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389.82409 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.499 + 136.301. Which is the closest to 0? (a) 1\/5 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14405 and -1801228163.\nAnswer: -1801213758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -36, 1\/11, 391, -1, 0.2 in ascending order.\nAnswer: -36, -5, -1, 1\/11, 0.2, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 4)\/(-3 - -2). Let d = 1 - h. Suppose -3*x - z = -15, -d*x + 6*x = -4*z + 20. Solve -16 = -x*t + 4*c - 3*c, -3*t = -c - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 400255843*k**6 + 20786*k**2 - 9302?\nAnswer: 48030701160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(9072)*-6 + 4 + -6*(-2*sqrt(9072) + sqrt(9072)) + sqrt(9072) + (-2*sqrt(9072) + -3 - sqrt(9072)))**2.\nAnswer: -576*sqrt(7) + 580606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501448 is divided by 250721.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 74*d**2 + 651*d + 665. Let j(r) = -34*r**2 - 325*r - 331. Let l(n) = 5*h(n) + 11*j(n). Determine s so that l(s) = 0.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66181 divided by 458.\nAnswer: 289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3162 - 710*o**3 - 2*o**2 + 3162 to q*o**2 + h + t*o + z*o**3 and give z.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 8 + 2)*(-4 - 1 + 4) + (47 + 15 - 7)*(-3 - 2 + 3))*(-q**2 - 3*q**2 + 2*q**2) in the form y + m*q + h*q**2 and give h.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -1187, -1775, -2359?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5659\/6 - -943. Let y(v) = v**3 - v**2 + v + 5. Let r be y(0). What is the second smallest value in r, -1\/4, -0.02, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -819.998754 - -820. Round w to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3259*u**2 - 3257*u**2 - 3258*u**2 - 3*u + 9773*u**2.\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(96) - sqrt(6))\/sqrt(3)*-2.\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 819\/4 - 206. Let r = -3\/4 - j. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126303600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3895*k**6 + 1036*k**5 + 700980378*k**2 wrt k?\nAnswer: 467400*k**3 + 62160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**7\/840 + f**6\/240 - f**4\/48 - f**3\/24 - 5*f**2 - 5*f. Let i(v) be the first derivative of w(v). Factor i(g).\nAnswer: (g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3248 and 56144?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-1*(sqrt(5) + sqrt(80))).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 102.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cqcqqcccqcqcq.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006235 rounded to six dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = u - 512. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 20 - 4*k)*(-79*k**2 + 109*k**2 - 77*k**2 + k**3) to the form g*k + p*k**3 + y + w*k**4 + c*k**2 and give p.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**5 - 175*j**4 - 2450*j**3 - 17150*j**2 - 60025*j - 84035 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -77*s**2 - 9. Let j(p) = 19*p**2 + 2. Let w(z) = 9*j(z) + 2*t(z). Let q(k) = -5*k. What is w(q(u))?\nAnswer: 425*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnpipkhhkkiphkhnppi. What is prob of sequence khi?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 21*b**2 + 40*b - 5. Let g be y(19). Let r = g - 38. What is the closest to -1 in r, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -19\nAnswer: -28\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**9\/378 - x**6\/360 + 3*x**3\/2 + 6*x. Let b(q) be the second derivative of l(q). Find the third derivative of b(i) wrt i.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nineteen quarters of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 2. Suppose -24 = -3*z + 4*p, 0*z = -z + 2*p + 10. Suppose 3*i = z*r + 53, i + 0*i = 5*r + 58. Let g(a) = 8*a - 6. What is r*b(w) + 4*g(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -23\nAnswer: -26\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200101 (base 4) to base 5.\nAnswer: 31230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/5 + 51*c**4\/5 + 171*c**3 + 945*c**2 = 0. Calculate c.\nAnswer: -21, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 15 (c) -279735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -11, -9, 180.\nAnswer: -11, -9, 17, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d - 44. Differentiate -25 + 30135*b**2 - d*b**3 - 30135*b**2 wrt b.\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 - 72486347\nAnswer: -72486347.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1540 - 873. Let d = z + -110. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 0.07, 0.4, -5, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 7 = -u, 2*u + 10 = 0. Suppose f = -4*z + 9, -z - 3*f + 10 = -n*z. Let c be (-8)\/(-24)*z*-2. What is the second biggest value in c, -4, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:12 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 - -90. Suppose 2*w + 336 = 6*w. Suppose -w = -2*l - x*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k*w*y**3 - 3039*k*w + 156*k*y**3 - 275*y**3 with respect to w.\nAnswer: 8*k*y**3 - 3039*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1116978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 = -124*b - 728 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6257 - -6256.99991873. What is j rounded to 6 decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + (-10 - -4) - (-2 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2. Let p(d) = -623*d + 1. Calculate m(p(v)).\nAnswer: -1164387*v**2 + 3738*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.8 and -2.5.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 20. Determine n(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -115*u**8\/56 - 5*u**7\/21 - 531*u**4\/2 - 975*u. Find the third derivative of p(j) wrt j.\nAnswer: -13800*j**3 - 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 3. Let f(i) be the third derivative of -5*i**4\/12 + 5*i**3\/3 - 6*i**2. Let r = 9 + -17. Let d be (-4)\/(r\/4) + 2. Determine d*f(h) - 14*l(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = -2*x, -2*y = -0*x - 3*x + 29. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t + 8. Let x be -3 - 9\/(3 + 0). Let o be v(x). Let q = o + 49. What is the greatest common divisor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 16*i - 2. Let s be r(-17). What is the third derivative of 18*q**2 + 0*q**5 - 2*q**5 + 9*q**5 + s*q**5 wrt q?\nAnswer: 1320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -1304.1.\nAnswer: -156.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -3*r. Let a be 4\/r*3\/(-2)*1. Factor -3*h + 1 - 2*h**a - 3 + 8 - h**2.\nAnswer: -3*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295995 rounded to the nearest 1000?\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 2, 9, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 721858, 721882, 721906, 721930, 721954, 721978?\nAnswer: 722002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/8 and 99\/5583610.\nAnswer: 22334440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -8, 43, 136, 283, 496, 787, 1168?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*t**3 - 44\/5*t**2 - 21296\/15 + 968\/5*t.\nAnswer: 2*(t - 22)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-702)\/(-621))*(-2)\/(1\/3*2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*f = -4063 - 5441 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-800)*-5*40\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/42 + r**3\/21 + 2*r**2\/7 + r + 1. Let v(b) be the first derivative of h(b). Find c such that v(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 4156*u\/11 - 2159042\/11.\nAnswer: -2*(u + 1039)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 - 131. Let o = -3 + 3.03. Let g = -0.33 + o. What is the third smallest value in g, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b + 15*b = 59*b - 1800 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (4 + -3)*9. Solve -5*v = -h - z, 0 = 4*v + 4*h + 4 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313830, -313856, -313882, -313908?\nAnswer: -313934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 97*h**2 + 2*h + 80. Let i(z) = -z**2 - z - 26. Calculate -3*i(l) - x(l).\nAnswer: -94*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:42 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1085 + 1237. What is the highest common divisor of l and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26557202 to the power of 1\/2, to the nearest integer?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1348541, -2697050, -4045559, -5394068, -6742577, -8091086?\n\"Answer: -1348509*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -101100001010000?\nAnswer: -101100001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 7*d - 4. Let h be c(-6). Put h, -5, 2\/9 in decreasing order.\nAnswer: h, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = 4*a, 0 = 4*a + 3*l - 0 - 10. Let r = 16 + -11. Let c be 2 + 3 + -2 + -2. Sort c, r, a in decreasing order.\nAnswer: r, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, 9, -15 in increasing order.\nAnswer: -15, -4, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 545036.4 and -0.2?\nAnswer: -109007.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792734 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 7*h - h**2 - 9*h to c + g*h**2 + m*h and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6220 - -10256. Put -1, -4, h in increasing order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1.8336, 9, 2\/5, 3.\nAnswer: -1.8336, 1\/4, 2\/5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19179129 divided by 5.\nAnswer: -19179129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = d - 25, -9*d + 19 = -f - 14*d. Suppose 0 = 5*t - f*p + 4*p - 6730, 5*t = -2*p + 6750. List the prime factors of t.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.4, -4, -18619, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -830 + 825. Is 72 a factor of (35\/15)\/(v\/(0 + -2550))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 41*i**2 + 20*i + 7. Let d be a(20). Solve -d = -5*v + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-1.426804.\nAnswer: 0.9987628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/23518 and 68\/1815.\nAnswer: 3880470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730396519 a multiple of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16. Suppose 0 = d + y*l - 16, d - 2*l - 3*l = -19. Suppose 5*q = a - 3*a + 9, 2*a = -2*q + d. Solve 4 = -a*t, t + 0*t = h + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 128 = -652. Suppose -4*u + 4*j = t, 2*u + 119 = -u + j. Find the common denominator of 10\/9 and (2 - -1) + 455\/u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/21 - (-36)\/14. Suppose -5*a = 4*x + 172 - 559, -4*x = y*a - 381. Let u = -90 + x. Solve -u = w - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and 0.049?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)\/sqrt(4) - sqrt(44))*5)\/(1*(sqrt(12)\/sqrt(3) + sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -3d51365?\nAnswer: -3d51364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = l. Suppose 5*d - 20 = 3*s, -d + l = 2*s + 3*d. Suppose 30 = 2*n - s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kisg when four letters picked without replacement from {k: 1, s: 1, i: 1, m: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28\/2857 (b) -1\/5 (c) -125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 639.8 + -639.800003668. What is g rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/689 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 13. Suppose 0 = -8*a + 3*a - 5. Let s(i) = -3*i - 3. Let b be s(a). What is z(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51902465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - (-20 + 17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -m + 28 + 3, 0 = z - 5. Suppose -3*o + g = -m - 39, -5*o - 4*g = -170. What is the highest common factor of 75 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(8\/(-28) - (-8)\/(280\/3)). What is the closest to -2 in -95, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Let f(w) = -3*w + 2. Let t be f(-3). Is p(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -454, -5.\nAnswer: -454, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 823779.9ml in litres?\nAnswer: 823.7799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36732 divided by -4507?\nAnswer: 36732\/4507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264940 by 26.\nAnswer: -10190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064 (base 9) in base 12?\nAnswer: 187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/40)\/8*5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-3)\/(-6))*(-12)\/9. Solve -d*y + 15 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:21 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149100?\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14245 - 0.09\nAnswer: 14244.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -110200?\nAnswer: 110113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 + (-536)\/18. Let i = -32 - v. Is -3 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.6362 - -6.6428. Let j = 0.279 - z. Let a = -116.99999888 - j. What is a rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4 + 10*v**3 - 40*v + 32 = 0.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 64.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:30 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2056 and 5272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -23097.312\nAnswer: 23097.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -2\/7, 0.133, -1\/9, -2, 3 in decreasing order.\nAnswer: 3, 0.133, -1\/9, -2\/7, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1433, -11298, -38083, -90254, -176277?\nAnswer: -304618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 4:25 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33066809989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.1 + 1.1. Let l = z + 7. Let b = 62 - 247\/4. Do b and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(640)*-2 - sqrt(640)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.5298 kilometers in centimeters?\nAnswer: 29552980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -2.4. Suppose 0 = o - 3*o + 8. What is the second biggest value in -5, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/3 - 270*q**2 - 36450*q - 1640250 = 0. Calculate q.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:44 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 978 = -4*n, 0 = 5*p - 8 - 7. What is the least common multiple of n and 459?\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qllrlrcrrrcgqqirr. Give prob of sequence igc.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*f = -29, 6*a = 3*a + 3*f + 21. Let l be (-9 + -1)*a\/(-8). Suppose 2*u + 1 - 5 = 0. Solve -2*q + l*c = 2*q - 4, 0 = -2*q - u*c + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 1 = -5*v + k, 0 = -3*v + 2*k - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/44802 and -40\/52269.\nAnswer: 313614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (6*(sqrt(156) + 2*sqrt(156)) + sqrt(156)))\/sqrt(12) - sqrt(26)\/sqrt(2)*-2*2)**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10\/70 - (-32)\/70?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 824 - 803. Differentiate -44 + 12*a + 102*a - 131 - z*a with respect to a.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-2235)\/(-105) - -11\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**3 + 2*r**2 - 1. Let x be d(1). Let m be (x\/12)\/((-3)\/36). Suppose y + 4 = 3*y, -3*y = i - m. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2799*q**2 - 6*q - 13*q + 23*q - 4*q as p + w*q**2 + l*q and give w.\nAnswer: 2799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(294)*-6)\/(sqrt(36)\/(sqrt(12) - (sqrt(12) + sqrt(12)*3))) + 2) + -5.\nAnswer: -756*sqrt(2) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 768\/(-4)*(-1)\/((-6)\/(-80)). Suppose 3*s + 2*r - 2560 = -s, 0 = 4*s - 4*r - z. Does 39 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((3 - 19\/7)\/(-2)). Let k = z + 9. Suppose 0 = 3*j - 4*v - 599, 0 = -k*j - 2*j - 3*v + 757. Does 30 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2\/5*p**5 - 32\/5*p**2 + 8\/5*p**3 + 6\/5*p**4 + 32\/5 + 0*p = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413626971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 + 3*p + 0*p - 4*p**3 + 2*p**3 - 4*p**3 + 4*p**3 - p + 2*p**3 + p + 5 - 5 - 2*p**3 + (-p - 2 + 2)*(-2 + 2 + p**2).\nAnswer: 2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 267366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1210)\/(-20)*15\/(-990)*8*6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = b + 45. Let h = b - -53. Calculate the remainder when 89 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141 - 103333?\nAnswer: -103172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-6) - (-25112)\/24.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 84?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 815, 4, -3.\nAnswer: -3, 1, 4, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*y + 30, -4*p - 4*y = -2*y + 40. List the prime factors of (78\/15)\/((-2)\/p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -174*m - 9 + 21*m - 7. Is w(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i**2. Let p(g) = -45*g**2. Let y(l) = 5*o(l) + 3*p(l). Let h(s) = 2*s. Calculate h(y(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*v + 3830, 0 = -4*v + c - 3*c + 3082. Let h = v - 764. Let g(m) = m**3 - 3*m**2 + 2*m - 1. What is the lowest common multiple of g(3) and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(168)*1 + sqrt(168))\/sqrt(8))\/(sqrt(135)\/sqrt(5)))**2 - ((sqrt(168)\/sqrt(3))\/sqrt(4))\/((sqrt(350) + sqrt(14) - sqrt(14))\/sqrt(7))).\nAnswer: -3*sqrt(7)\/5 + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104464201 is divided by 414?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from oocqocccoeocortr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111 - -11?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = 4*g, -g + 6*g + f + 9 = 0. Suppose 102 = -34*p - 34. Sort 2, 11, p, g.\nAnswer: p, g, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 818176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + z**3 - 2*z**4 + 3*z + z**2 - z**4 - 7*z**4 + 20*z**4 to q*z**2 + b + k*z**3 + o*z + i*z**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 4*z**2 + 2*z**2)*(-1 + 1 - 2) + 34*z**2 + 27*z**2 + 7*z**2 - 5*z**2 + 3*z**2 - 4*z**2.\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*v - 1628 = -6*x, 3*v - 1620 = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.749628cm to kilometers.\nAnswer: 0.00000749628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33435*z - 587674*z + 40787*z.\nAnswer: -580322*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 25*m + 105 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709623 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z - 50. Let k = -13 - z. Let l = -1 + 3. Solve l*d = -d - k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2442.279ng to micrograms.\nAnswer: 2.442279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12760 divided by 11?\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4470 and 124797930?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7072374 is divided by 2717.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - -3 - (-2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -26. Suppose 0 = 3*a - 54 + b. Solve -3*s + 2*u + a = 0, -3*u + 2 = s - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 228. What is the common denominator of 0\/1 + u\/24 and 2\/4*8\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + q = -13, x + 5*q + 32 - 15 = 0. Let i = -151 + 146. What is the closest to 1 in 1\/4, x, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(6 - (-5 - -9)). What is the hundreds digit of (1 - -984) + x + (2 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 310 + -307. Suppose 6*z - 268 = -5*k + 175, -q*z + 3*k = -216. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 times -3172?\nAnswer: -2981.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3\/4 - 33*l**2\/2 - 945*l\/4 + 7188. Factor u(r).\nAnswer: -3*(r + 9)*(r + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16789*w = -506192 + 503526 - 839498 - 601690 for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -6416525?\nAnswer: -6416525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1313 - -1441. Let p = 901 - 453. What is the greatest common factor of p and a?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4077 rounded to one dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (-3)\/(-1) - 3*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g - 5*p + 20, 2*g = -p + 4. Solve g = 9*k - 4*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -u - 10, 3*u = 3*z + 7 + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - 1 - (0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 11*u - 22. Let w be m(9). Let r be (4 + (-6)\/w)*2. Suppose 2*z = -i - 16, 3*z = i + 2 - r. Let k(g) = -g + 5. Give k(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**5\/60 + u**4\/4 - u**3\/3 + 42367*u**2. Suppose 0 = -o - 3. Let j(c) = -c**2 + 7*c - 2. Calculate o*v(z) + 2*j(z).\nAnswer: z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + 10\/8. Suppose 5 - z = a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142033757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -4 (b) 0.21818 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from phh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6090.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 13*t = 13680000. Round t to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*h + 963 + 636, -h = -3. Suppose -5*k + x = k. What are the prime factors of k + 16\/(-4) + 2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-770)\/33)*130\/156?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -21*j**3 - 9*j**2 - 4*j + 10. Let d be m(-7). Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 10.47.\nAnswer: 31.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 409989 or 410968?\nAnswer: 410968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 - 7*o + 27. Determine x(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2856.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/21*(-23)\/(-23)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29ca (base 14) to base 12\nAnswer: 4372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8003*q - 3839. Let i be t(-17). Round i to the nearest one thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124 (base 5) to base 12.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from {k: 1, q: 1, w: 5, n: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 999957 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 22*r**2 + 462*r - 6705. What is t(30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by 237.\nAnswer: -67\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 21. Suppose j*z = z + 12. Solve 19 = -3*h + z*a - a, 0 = 2*a - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8799187 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 4. Let d be j(-7). Let b = 5 - d. Suppose 0 = 2*s + b*s - 36. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4 = 4*h. Let g = -23 + 26. Let t be 1 - (g - (-2)\/h). Solve 2*l = -2*c, -2*l - 6*c + 3*c - 3 = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19736720 by 16.\nAnswer: -1233545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2897721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 28. Let b(k) = k**2 - 24*k - 151. Let w(l) = 2*b(l) + 11*z(l). Suppose -3*y + 5 - 20 = 0. What is the remainder when 81 is divided by w(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 116?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2 + 18*v - 7. Let c(d) = d**2 - d. Let y(q) = 6*c(q) + j(q). Let z be y(5). Let n(g) = g**3 - 2*g + 6*g - 2*g + 1 + g**2 - z*g. Give n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 77, -1, -1\/53, 3, 1?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 32. Let p be c(-10). Let u(g) = -g**3 + 4*g**2 + g. Let q be u(4). Factor -6*m**2 + 3*m**5 + p*m**2 - q*m**4 + m**5 + m - 3*m**3.\nAnswer: m*(m - 1)**2*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 635404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/8 (b) -0.2 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 115261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.4, 1\/81, -0.2?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12747*4.\nAnswer: -0.50988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/11 (c) -5 (d) 1.4735 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + y - 3 = -0*h, -5*h = 4*y - 21. Let x(a) = -a**3 - 10*a**2 - 2*a - 13. Calculate the remainder when x(-10) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 117, 282, 493, 738, 1005, 1282, 1557?\n\"Answer: -2*a**3 + 41*a**2 - 2*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*h - 323*h + 32. Let m = -1 + -4. Let z be (-2)\/(-5) + (-238)\/m. What is the greatest common factor of z and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, -5, -24440, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4)\/((1 + 0)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8300*a + 893371 + 104099 = -4316*a + 7099*a for a.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (0 - 4) - -4) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 3*t - 19 + (3 - 2*t - 3)*(-2 + 0 + 3) + (3 + 2 - 4)*(2*t + 2 - 2).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (3*(-3*sqrt(110) + sqrt(110) + sqrt(110)) - sqrt(110))\/(sqrt(50)\/sqrt(5)*2)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2597*f**3*k + 3*f**3 - 21*f**2 + 140*f*k - 5363*f - k - 2 wrt f?\nAnswer: -15582*f*k + 18*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (219 + 298 + 63 + 2 - 4 + 0 + (0 + 2 - 1)*(-1 + 2 - 2) + 2 - 4 + 4)*(4*g - 2*g + 0*g) in the form r + w*g and give w.\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29285.1403 and 3591?\nAnswer: 32876.1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**4 + o**2 + 2*o**3 + 4*o + o**4 - 4*o to the form q*o**4 + k*o**2 + t*o + y*o**3 + w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = -5*u. Suppose 20 = 5*y - 0*y. Let g(m) = 4*m + 0*m - y + m**2 - m. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w)*(-8 - 6 - 2)*(5 - 4 - 3).\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*d - 36 = 0, 0 = a + 4*d - 52 + 19. Let g = 19 - 13. Let x = 0 + g. Calculate the remainder when a is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 6*f + f + 6*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -2.4, -10990?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (3\/(-6) - 51\/(-6)). Suppose 107 = q*f + 119. Let u(c) = -7*c**3 - 3*c**2 - 4*c + 4. List the prime factors of u(f).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from {n: 7, h: 1, e: 1, u: 7, m: 3}.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260360 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: Find the common denominator of -59\/60 and 139\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 2. Let d be b(-6). Suppose d*c = -c. Suppose 4*q - 6 - 6 = c. Are q and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-4*3\/(-12)). Solve 0*i - u*i - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225)*4 + sqrt(1225) - 1*sqrt(343)\/sqrt(7))\/(5*sqrt(315)\/sqrt(5)*-6))**2.\nAnswer: 112\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*o**2 - 36*o**2 + 74*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(304)*-3 + 4 + 3 + -2.\nAnswer: -12*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01946 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25060 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27445 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1727068496 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 180, 2 in descending order.\nAnswer: 180, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*l - 21692 = 73*l. Calculate the highest common factor of l and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-190)\/(-855))\/(2\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 924719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -37, -4, -12 in increasing order.\nAnswer: -37, -12, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -768 + 773. Let t(d) be the third derivative of 0*d + 0*d**4 + 1\/120*d**6 - 3\/2*d**3 - 5*d**2 + 0*d**v + 0. Differentiate t(u) with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 301*p - 3298. Suppose m - 31 = 21. What is the lowest common multiple of j(11) and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbssk. What is prob of picking 1 s and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101900953 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**2 - 2. Let p be i(-1). Suppose 2 = 3*f - p*g, -f - g = f + 1. Put -0.3, -5, f in descending order.\nAnswer: f, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -10 - (-12 + 0 - -23)) + 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -43, -75, -109, -145, -183, -223?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (377\/(-58))\/((-1)\/(3 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, e: 1, a: 1, w: 1}. What is prob of sequence awe?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*o - 15, 0*o + 16 = 3*a - 4*o. Let l = a + 3. What is the greatest common factor of l and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-16 + 12 - -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 3\/2, -3, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1963 - 856. Let y = -641 + l. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 63*y + 1064. What is the remainder when 113 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(22\/(-12)))\/2*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i - 9 - 46 + 20*i - 1 as k*i + m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 + 2. Let m be h(3). Suppose -m*k + 16*k = -152. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007076 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1504356746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 34*j + 2. Let m(q) = -51*q - 3. Give 5*m(r) + 7*w(r).\nAnswer: -17*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -8, 16, 8 in increasing order.\nAnswer: -23, -8, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 13}. Give prob of sequence rr.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Differentiate k - 2*w**3 + 4 - 6 with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(208) + -1 - sqrt(208) - sqrt(208))*-6)**2.\nAnswer: 115200*sqrt(13) + 3009600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from paapaaagpaggappap?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123, 478, 1071, 1902, 2971, 4278?\n\"Answer: 119*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867565, -867734, -867903, -868072?\nAnswer: -868241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 + 99*t**2\/2 + 98*t + 352. Let l(u) = 0. Calculate u.\nAnswer: -98, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36750713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 7*g. Suppose -4*o = -g*p + 3*p - 27, 0 = 5*p + 5*o - 40. Solve -p*x - 12 = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t + 43. Let p(f) = -6*f - 28. What is 8*p(o) + 5*r(o)?\nAnswer: -8*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361773.\nAnswer: 3, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdjddddj. What is prob of picking 1 d and 2 j?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 + z**3 - 117 + 7*z - 17*z as x + q*z + h*z**2 + y*z**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose -m = l + 21, -2*l + 1 - 7 = i. Let r = m + 29. What is the lowest common multiple of r and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 7 + 4 - 2*c)*(-c**2 - 1 + 1).\nAnswer: 2*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -696*t + 1067*t + 65*t**5 - 529*t wrt t?\nAnswer: 1300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/3 - s**4 - 9*s**3 + 45*s**2 - 54*s = 0. Calculate s.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2693.35 times -67?\nAnswer: 180454.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32185 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 274272?\nAnswer: 274271.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3863504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3213*n - 834 = 3207*n. Solve 0 = -n*b + 167*b - 168 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -2, -5, 0, 839, 1 in descending order.\nAnswer: 839, 1, 0, -2, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271109, 543331, 815553, 1087775, 1359997?\nAnswer: 1632219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 83. Determine q(-14).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 169*y - 4548. Let d be z(28). What is the greatest common divisor of 5980 and d?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 526274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 24 = -l - 3*n, -15 = 3*l - 2*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*j + 281*j - 6805 = -5*n, 0 = -5*j + n + 11351. Is j a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*t**4 - 27*t**4 - 48*t**4 - 3*t**4 + 3 - 3 + (-3 + 2 - 1)*(t**4 - 2*t**3 + 2*t**3).\nAnswer: -21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -3) + 2 - (9 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 - 6. Suppose 4*i + 18 = -5*h - 0, 0 = 3*i - 9. Give z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254815229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 74 = 65. Solve 0 = -4*w + f + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 12*p**3)*(-21*p - 57 + 57) as a + s*p + d*p**3 + k*p**4 + g*p**2 and give k.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v + v + 2*v**3 + 3*v**3 + 0*v**3 in the form c*v**2 + d*v + n*v**3 + s and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 2*o**3 - 3*o**3 - 7*o - 3 + 4*o + 3*o**2. Factor g(a).\nAnswer: -3*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274.4 - -12817.4. Let w = -12644.944 + c. Let z = -102 - w. What is z rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4 in decreasing order.\nAnswer: 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2638055 and -16\/472073?\nAnswer: 44846935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/24 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -5. Let m = 145 + u. Suppose -m = -5*o + 2*o. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 559178 or 559181?\nAnswer: 559178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 7, p: 5, w: 3}. Give prob of sequence wnt.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 95494?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38035578 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-17)*d**(3\/7))**(1\/19))**(-1\/6) assuming d is positive.\nAnswer: d**(58\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 2, i: 5}. What is prob of sequence vvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -20*y**2 - 24*y + 16. Let u(j) = -4*j**2 - 5*j + 3. Let h(m) = -m**2 - 8*m - 7. Let x be h(-9). Let w(f) = x*u(f) + 3*s(f). Solve w(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 264045.\nAnswer: 264051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 26*b**7\/105 - b**5\/15 - 25*b**4\/8 + 7*b**3\/6 - 4*b**2 + 39*b. Find the second derivative of m(n) wrt n.\nAnswer: 624*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4308 + 30215\/7. Let z = n - 8. What is the closest to 1 in -0.1, z, -2\/17?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 581 + -492. What is the remainder when n is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*v - 9 = 0, -199*v + 203*v + 16 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382240741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21222 + -12?\nAnswer: -22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.2 (c) 0.017 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14992122 divided by -174327\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220122220110 (base 3) to base 9.\nAnswer: -818813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 take away -32?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(891) + 0))**2 - (5*(sqrt(11) + 0) + -2)**2)*-3.\nAnswer: -23220 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1814, -3678, -5542, -7406, -9270, -11134?\n\"Answer: -1864*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 167, -48, 4, 0.\nAnswer: -48, -1, 0, 4, 8, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24381, -24394, -24405, -24414, -24421, -24426, -24429?\n\"Answer: i**2 - 16*i - 24366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*m - 1211 = -415*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40930505*q**4 + 125877732 wrt q?\nAnswer: 163722020*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959652 = -29*s - 7553. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (125 - 4) + (-280 - -73)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 1385326682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325\/6 - -54. Let x = -1296 + 15541\/12. Let n = -2\/3 - x. Which is the nearest to n? (a) -1 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 34*r + 200. What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.018? (a) -1\/4 (b) 3\/16 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2 + 4\/3*o**3 + 0*o**2 + 1\/120*o**5 - 1\/3*o**4 + 0*o. Let k(r) be the third derivative of b(r). What is k(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:28 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 + 2 = 0. Let x(m) = 7*m - 3. Let j = 180 + -188. Let p(u) = 4 - 20*u + 2 + 0 + 2. Calculate j*x(w) + k*p(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7315736.72 - 1\nAnswer: 7315735.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -14 + -13 + 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*a - 32*a - 34*a - 67*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.48 - -13. Round j to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(162\/(-15))\/3 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2675?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k - x + 78 = 0, -4*k + 45 = -5*x. Suppose -t + 2*t - k = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7)*20\/(-30)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10079734 smaller than -10079731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:39 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*k + 100*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 113\/345618 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.397 to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -228664142 plus -115?\nAnswer: -228664257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1417\/15 - 293\/3. Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 732 and 122.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.015.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 73?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125) + -3 - ((sqrt(5) - (-4*sqrt(55))\/sqrt(11)) + 4))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**2. Let m(z) be the second derivative of 2*z**3\/3 - 4*z + 3. Give c(m(g)).\nAnswer: 272*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 156 = 10*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/9 (b) -0.4 (c) -3815743\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-287)\/(-14) - 21)*(2 + -256). What is the highest common divisor of k and 13208?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - f = 0, 0 = -f. Suppose -9*i = -w*i - 54. Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216232*o**4 - 3946*o + 97?\nAnswer: -2594784*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 430, 425, 416, 403, 386?\n\"Answer: -2*c**2 + c + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572953 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:24 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 124. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-67 - -44) + 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 409149*k**4 + 410*k**3 - 471192639*k**2?\nAnswer: 9819576*k + 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.26 + 474.26. Let h = f + -467.61. Is h less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07167 - -2.92833. What is the closest to 0.3 in 2895, -1\/7, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-66))\/(7\/112).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112121000 + -22?\nAnswer: 21112120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 37. Which is the second smallest value? (a) l (b) -5 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 181963341884 and -3.\nAnswer: 181963341881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.6 take away -0.09095?\nAnswer: -12.50905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.3 and -19232.\nAnswer: -19228.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-38)\/4)\/((-7)\/28). Solve -6 + u = 16*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.049, -107 in increasing order.\nAnswer: -107, -0.049, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -4*a - 242. Let g = -81 - a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 2100?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6082, 5433, 4352, 2839, 894?\n\"Answer: -216*y**2 - y + 6299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2098 - 134*z**2 - 170*z**2 - 2098)*(3*z**2 - 3*z**2 + z**2).\nAnswer: -304*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537122342?\nAnswer: 2, 13, 10464859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 116, -0.2, 141, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*(-2)\/1. Let b(q) = q - 2. Let j(m) = 6*m - 9. Let g(h) = 5*b(h) - j(h). Let n be g(k). Let z(x) = -x**2 + 2*x + 3. Determine z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p. Let k(t) = 9*t - 11. Let z(y) = y - 3. Let x be z(6). Let h(j) = x + 2 + 1 - 5*j. Let c(b) = -11*h(b) - 6*k(b). Calculate v(c(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4449 (b) -65 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001011 - 1100101110?\nAnswer: -101110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:48 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 219?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*v - 4 + 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -170*i*z + i + 23*z - 15892 wrt z?\nAnswer: -170*i + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - 2.5. Which is the smallest value? (a) -42 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799*((-31616)\/(-646) + -49).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 5*l + 2. Let c(j) = -3*j**2 + 2. Let z be c(-2). Let w be z\/(-15) + 14\/(-3). What is the remainder when 27 is divided by y(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*x + 308*x + 376 = 0. What is the remainder when 62 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*u**3 - 19 + 980*u**3 - 3*u**4 - 486*u**3 + 2*u**4 + 4*u**2 + 53 to o*u**3 + a*u**4 + p + j*u**2 + g*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74923 is divided by 124?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s**4)*(-9 - 5*s + 14 - 7).\nAnswer: -5*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.06, 4, 10, 0, 0.05?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.66368 + 0.03632. Which is the closest to -3\/4? (a) 0.4 (b) 0 (c) -0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/3432 + 6\/39. Suppose -7*i - 3*i + 30 = 0. What is the closest to i in 2\/5, b, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Let i(r) = -r + 1. Let a be i(-6). Find the second derivative of -6*b + 1 - q*b**2 - 1 + a*b**2 wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 100\/12)*45\/(-20). Let i(b) = 187*b - 31. Is i(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -666, -1770, -3386?\n\"Answer: -256*d**2 + 176*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -536, -535, -534, -533?\n\"Answer: z - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 534972178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 25*x**3 + x + 3. Suppose 3*y - 4*h = -y + 20, 4*y + 28 = -2*h. Let a(n) = 25*n**3 + n + 2. What is y*a(p) + 2*o(p)?\nAnswer: -25*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1935*p**3 - 17*p**2 + 46046 with respect to p.\nAnswer: 5805*p**2 - 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (4 + 5)) + 0 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 216570, 433084, 649544, 865950, 1082302, 1298600?\n\"Answer: -27*z**2 + 216595*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002548518 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(2*20\/(-16) - -3). Let q(i) = 14*i**3 - i**2. What is q(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 51948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1331)*1.\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptftdftftpptfp. Give prob of picking 1 t and 1 p.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 15*s**2 + 3*s + 25. Let q be f(-15). Let y = q + 37. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 371 = 4*c - 5*w, 0 = 3*c - 5*w - 391. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*x - 6 - 258, d - x - 127 = 0. Calculate the remainder when d is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 + 5*z**2 - 3. Let i be g(-9). What is the units digit of (2\/(-3))\/(3\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*m + 6 = 0, -r - m + 3 = -3*m. Suppose -1170 = 69*q - 95*q. Solve 4*b = 6*b + r*a + 25, -5*a = 4*b + q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 68. Suppose -k + 108 = -3*r. Let n = r + 43. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 - 3*p**3 - 2 + 5*p**3 + (23*p**2 + p**2 + 22*p**2)*(-2*p + p + 3*p) as c + s*p**3 + o*p + j*p**2 and give s.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f + 14522 = -52*f - 274*f + 130*f for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let l(j) = -2924 - 2*j + 2903 + j. Give p(l(o)).\nAnswer: -2*o - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 + 8*g**4 - 19446*g**3 + 562208*g**2?\nAnswer: -120*g**2 + 192*g - 116676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -77*0.3\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 4. Let j be (-11)\/(-22) + 7\/2. Calculate the lowest common multiple of p(j) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103562, -103582, -103602, -103622, -103642, -103662?\nAnswer: -103682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -15, 0.8, -0.3, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*q + 1139 = 0, -2*g = 14*q - 17*q - 450. What is the smallest common multiple of g and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 - 9780*k**3 - 4772625*k**2 + 9584410*k = 0.\nAnswer: -979, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7*m + 2*i - 104, m = 3*i + 33. Differentiate -m + 0*k - 4*k + 4*k - 18*k**3 wrt k.\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55614 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 5 = -12*o. Suppose f + 7 = x, -5*f + 42 = o*x - 3*f. Solve 3*n = -3*u + 9, -x*u + n - 3 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 4*d**2 - 2*d. Let r be w(-2). Let f(v) = 2*v**2 - v + 1. Let p be f(1). Which is the closest to 0? (a) p (b) r (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -173.8863.\nAnswer: -260.82945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f - 2*f**2 - 7 + f + 3*f**2. Is 9 a factor of i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 30 - (0 - (19 + -29))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8392, 5460, 2530, -398?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 8, e: 4, t: 5, w: 1}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {i: 1, o: 1, z: 11, b: 2}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 3768 (c) 6 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -119 - 64\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/(-99) + 3\/2 and -125\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -36. Suppose 3*m - l = -6. Let f(y) = 78*y**2 + y. Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + w**2 - 4*w - 5. Give x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65191.3 rounded to the nearest one thousand?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 + 17*y + 17. Let i be k(-6). Suppose r = -0*r + 3. Let z = i - r. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 12) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpxxxxnunupxuxl. Give prob of picking 3 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 114 = -360. Let u be (-5)\/30 - a\/(-12). Solve 3*j - 1 = -u, 4*j = -4*y - 36 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 27222.\nAnswer: -1\/13611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44505, -44801, -45097, -45393, -45689, -45985?\n\"Answer: -296*c - 44209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 11) to base 5.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19476 - 14250 = -11*q. Let f = q - 2030. What are the prime factors of f?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:09 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g + 4. Let d be q(5). Let s = 21 + d. Let o(c) = -c + 21. What is the units digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 3*p**2 - 8*p. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 26. What are the prime factors of (-48 + -1)*(-3 - c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/10849 and 55\/323.\nAnswer: 184433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - 4*v - 2. Suppose 150 = 2*m - m + 2*k, -k - 471 = -3*m. Let x = m + -151. Give z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 152.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 1534*m**2 - 262651*m - 1811. Determine y(-258).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32490250*i**3 - 6*i**2 - 141*i - 1131 wrt i.\nAnswer: -194941500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 11242032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16484089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Suppose -p + 27 = -q*p. Let f(n) = -2*n + 17. Is f(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 32*w**3 - 3 - 6 as z + k*w**3 + y*w + b*w**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186.16 - -180. Round h to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1912, -7665, -17254, -30679, -47940, -69037, -93970?\nAnswer: -122739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18. Let l(t) = t - 18. Let d(k) = -4*h(k) + 3*l(k). Suppose -4*a + 9 = -3*a + 5*z, 0 = 5*a + 4*z + 18. Let w be d(a). Let g(f) = f - 16. Give g(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18*m = -28. Let t be 12\/(-7) - (-6)\/(-21). What are the prime factors of 46\/m - t\/(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -106. Let a(o) = -16*o**2 + 25*o + 6. Let l(m) = -3*m**2 + 5*m + 1. Determine t*l(x) - 2*a(x).\nAnswer: -x**2 + 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a**2 + a + 2. Suppose -3*s - 3*t + 36 = 0, -s - 5*t + 3*t = -7. Let f(v) = -7*v**2 - 1. Let n(j) = s*f(j) + 6*w(j). What is n(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 106. Suppose 2*v + r = 6. Let g = 128 + -127. Sort g, v, 0.5, 0.1.\nAnswer: v, 0.1, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 1\/6*q**3 + 1\/15*q**4 + 1\/5*q**2 + 1\/100*q**5 - 2*q - 8. Factor h(u).\nAnswer: (u + 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*k - 15, k + 10 = -4*d + 13. Sort -0.1, -3, -0.3, d.\nAnswer: -3, -0.3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**7\/3780 - s**5\/540 + 3*s**3 + 9. Let l(m) be the third derivative of w(m). Factor l(k).\nAnswer: 2*k*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*u - 1 = -16, -5*u = 3*w - 41. Let g = w + -1. Suppose 4*c - g*c = -20. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4 - 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15862 - 15849. Let x(n) be the second derivative of n**5\/20 + n**4\/12 - n**3\/3 - n**2\/2 + 3*n. Let z be x(-1). Which is greater: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + n + 3*n - n**2 + 2*n**2 to the form c*n**2 + p*n + z and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 3. Let v be l(-6). Let x be 2 + 3 + -2 + v. Suppose -4*j = -x - 4. Solve 4*q = -2*u + 26, -u + 4 = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0 + 9. Suppose 0 = -d - 5*v - 12 - y, 3*v = -3*d - 3. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/24 + x**5\/5 + 11*x**2\/2 - 7. Let y(g) be the second derivative of j(g). Find the third derivative of y(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501123, 1002631, 1504139?\nAnswer: 2005647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (4 - (9 - -2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 + 4*j**2 + 4*j**2 + (-3*j + 4*j + j)*(-2*j - j + 2*j) + 0*j**2 + 2*j**2 - 3*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/81 and ((-21)\/4 + 6)*556\/(-18).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75011 is divided by 4407.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/28)\/5 - 13800\/(-210).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29977*o + 20 - 29977*o + o**3 - 2*o**2 to x*o**2 + y*o + g*o**3 + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-840)\/18)\/20 + (1 - -2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from {q: 1, o: 5, u: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-162))\/((-32)\/576)*41\/2*1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1600.04 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.94 - 3.94. Let g be (-10)\/18*(-3)\/1. Let k = 0 + -3. Which is the smallest value? (a) f (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -262, -2, 1 in ascending order.\nAnswer: -262, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12108797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*k = -786*k - 168 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 5358745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1914864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -54.3.\nAnswer: -27.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*y - 7*q - 50, -38 = -2*y + q. Calculate the greatest common factor of y and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17314817 to the nearest 10000.\nAnswer: 17310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + 18*o**2 + 5*o - 23. Let p(c) = -2*c**3 + 12*c**2 + 3*c - 15. Let n(h) = 5*i(h) - 8*p(h). Give n(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/c**(3\/11)*(c**(2\/9)*c)**(-3\/8) assuming c is positive.\nAnswer: c**(71\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(1008) + 2 - sqrt(1008)*1*-4)*-3)**2.\nAnswer: 864*sqrt(7) + 36328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 5, y: 2}. Give prob of picking 2 y and 1 o.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138775 = -6*l + l. Let g be 0 + 19428574\/14 + (-506)\/1771. Let o = l + g. Round o to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 18*g + g)*(-3*g**3 - 5*g**3 + g - 3*g) in the form c*g**4 + w*g**2 + p*g**3 + o*g + v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**7\/21 + 64*m**6\/5 - 19*m**5 - 32*m**4 + 191*m**3\/3 + 7*m - 58. Let y(o) = 0. What is o?\nAnswer: -1, 0, 1, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1944, -1942, -1940, -1938, -1936, -1934?\nAnswer: -1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s - 15. Calculate the common denominator of s\/(-54)*(-73 + 2) and 1\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -18, -26, -34, -42, -50?\n\"Answer: -8*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/392 and 54\/3871.\nAnswer: 30968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 799, 1126, 1453, 1780, 2107?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 7*i - 8. Let d be z(9). Let n be (5*4\/10)\/d. Let u(v) = v - 7. Let m be u(8). Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-280324)\/8786 - -32)\/(-1 + 0) and 1\/5?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(252) + 0 + (sqrt(252) + (sqrt(252) - (-1*sqrt(252) + sqrt(252))))**2 + -4 + (-1*sqrt(252) + sqrt(252))*1.\nAnswer: 12*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4794764 and 14559?\nAnswer: 14384292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6080346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 181 - 236 = 3*z, 2*c = -6. Let v be 1 + 17\/(-15) + (-558)\/z. Solve -2*m + m = -3*q + 9, -v*m - 5*q = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1232*u + 27265 - 10677 + 19140 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 25 = -3*j + 6*j, -4*j = 5*r + 10. Let a(d) = 7*d + 55 + d**2 - 58 - r*d. What is a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 25.9185777 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7512848?\nAnswer: 2, 7, 67079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338768 - 0.\nAnswer: 338768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -2, -5008 in increasing order.\nAnswer: -5008, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 6) in base 12?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60302824.\nAnswer: 2, 701, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*(sqrt(13) + (sqrt(208) + sqrt(13) - sqrt(13)))*-6 + 3 + -2*sqrt(117)))**2.\nAnswer: -40176*sqrt(13) + 16191252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and 53\/3880400?\nAnswer: 11641200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -491692 (base 10) to base 5.\nAnswer: -111213232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(1\/7)*a)\/a)\/a**32*a\/(a*a*a**(-9\/5))*a**(-8\/3) assuming a is positive.\nAnswer: a**(-3436\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54768585731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-142)\/(-1008) - 24\/(-56) and 13\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 13*u**2 - 24*u + 28. Let m be x(-14). What is the hundreds digit of ((-36)\/m)\/((-4)\/42)*256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o = -844 + 2384 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*o - 188*o + 45*o - 84*o - 107*o.\nAnswer: -500*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7.45, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**(-3\/8)*u)\/u**0)**(-42))**(1\/39))**27 assuming u is positive.\nAnswer: u**(-5103\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(70) + (sqrt(70) + (sqrt(70) - -2*sqrt(70)) + sqrt(70) - sqrt(70)))\/sqrt(10) + 2 + -2*((sqrt(252)\/sqrt(9))**2 + sqrt(7)).\nAnswer: -54 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 169, 648, 1447, 2566, 4005, 5764, 7843?\n\"Answer: 160*d**2 - d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -5*n, 4*a = -a - 2*n + 9. Suppose a = -5*s + 11. Let t = -6 - -8. Solve -s*g + 40 = 3*g - 5*h, 2*g = -t*h + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 407030?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, 208, -1, 9, 5 in ascending order.\nAnswer: -209, -1, 5, 9, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:59 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25668346 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -53*d + 1447. Give y(25).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -639 - -1098. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 3}. Give prob of picking 1 o and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 622 = 592 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:37 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2086193 divided by 17.\nAnswer: -2086193\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 227297568 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33071, 33080, 33103, 33146, 33215, 33316, 33455?\nAnswer: 33638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425707103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + 0 + -1)\/(-1). Let a be ((-4)\/((-8)\/3))\/(-18). Suppose j + 5*d = 54, 194 = j - 6*d + 250. What is the fourth smallest value in j, m, a, -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96)*4 - (-5*sqrt(96)*-2 + sqrt(96)))\/(sqrt(18)*-4*-3)*4.\nAnswer: -28*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164079 is divided by 943.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 4. Let z be (-4)\/(-18) - 0\/u. What is the closest to 2\/7 in 4, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 7*t**2 - 2*t + 5. Let n be o(6). Suppose -u = 4*i - 17, -3*i + 2*u - 6*u = -n. What are the prime factors of 1 - i - -5 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6156169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, i: 5}. Give prob of sequence yiyi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -6*j. Find the third derivative of 4*i**2 - 6*i**2 + i**4 + 4*i**j wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7352*q**2*y + 814*q + 8*y wrt q?\nAnswer: -14704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 26*r**2 - 12*r - 2. What is the thousands digit of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 47, -2\/15, -1.8, -15\/7, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 - 10 + 10 - 6*n**3 + 5*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824205.2 millilitres to litres.\nAnswer: 824.2052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.893 - 8.893. Sort 2, -4, h, 377, 2\/3 in ascending order.\nAnswer: -4, h, 2\/3, 2, 377","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -30. Let k be -2*v - 128\/(-16). Let b be (1*3)\/(k\/4). Solve 1 = 3*t - b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2201\/330 + 806831\/330. Let l = 7228 - 4786. Let n = l - u. Find the common denominator of n and -115\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2\/3)\/(-1))\/(40\/30). What is the closest to 0.1 in 1\/4, -5, 2, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 28 - 19 = b - 4*c - 11, -3*b - 5*c = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 513 = 0. Is 57 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11311, -22781, -34251, -45721, -57191, -68661?\n\"Answer: -11470*s + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 15. Let z be n(0). Solve 7*x + z = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 8, -2036*l - 2*o = -2031*l + 37 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222694857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 6560\nAnswer: -6560.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31882541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 84646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x - x**3 - 4*x**2 + 61 - 33 - 21. Calculate k(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**8\/42 + 71*c**7\/210 + 17*c**6\/120 - 71*c**5\/60 - 3*c**4\/8 - 5784*c**2. Let y(h) = 0. Calculate h.\nAnswer: -1, -1\/8, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.93237804 to two decimal places.\nAnswer: 1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/4 + 2*v**3\/3 - 2*v**2 - 4*v + 1. Let f be c(-2). Let a(z) = -5*z + f*z + z + z. Let t(o) = -3*o**2. Give t(a(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43979, -43915, -43741, -43403, -42847, -42019?\nAnswer: -40865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*v = -8, 3*l - l - 12 = -v. Suppose -p + 2*i = -22, -p + l*i + 68 = 3*p. What is the remainder when 22 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1756*y**3 - 2*y + 130.\nAnswer: -10536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995065 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 16*b + 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4488\/(-504) - ((-38)\/(-133) - 7\/(-147))?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c - 5 - c + 1. Let h(w) = 2*w + 7. Let u(k) = -6*h(k) - 11*z(k). Is 3 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x. Let b(l) = -2*l + 6651. What is o(b(j))?\nAnswer: 28*j - 93114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/9 (b) -0.215254 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 198.9 times 2.8\nAnswer: 556.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 3118101?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 18*k - 31*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(21\/(-15) - (-6)\/15). Let t be ((-16)\/(-646))\/(4 - 6). Let m = 2\/17 + t. Which is the third smallest value? (a) -1 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 - (-14)\/(-6). Suppose 50 = -5*q + 3*v, 5*q + 3*v + 20 = -0*q. What is the remainder when 81 is divided by a + q\/(28\/(-120))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26616413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 6 + -8 + 13 - (5 - -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4080983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 4) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 149747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1.9, -1, -5, 1.\nAnswer: -5, -1, 1, 4\/3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) 75 (b) -2\/95 (c) -0.2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2438 + 4427. Suppose 0 = 5*k + 4*g + f - 9113, -3*g + 7128 = 5*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43244030 divided by 4.\nAnswer: 21622015\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**(5\/4)*l)*l*l))**(-19) assuming l is positive.\nAnswer: l**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, -533, -799, -1065?\n\"Answer: -266*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9319615*d**3 - 9319401*d**3 + 18639124*d**3.\nAnswer: 108*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -168*t + 7017. What is r(37)?\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -221 - -197. Let p(v) = v**3 + 26*v**2 + 31*v + 68. What is the hundreds digit of p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 11*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + 6*s. Let y(q) = -2*q**3. Let x(p) = 4*p**2 - 26*p + 15. Let j be x(6). Calculate j*y(o) - 4*m(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-77)*56\/32?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {u: 1, s: 2, x: 3, o: 4, e: 4, z: 1}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 22*b = 164, -402*g + 400*g + 2*b = -24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666957*i + 22 + 666964*i - 1333917*i.\nAnswer: 4*i + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 577, 0.112, -31, 1\/6 in increasing order.\nAnswer: -31, -3, 0.112, 1\/6, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66310 + -3052?\nAnswer: -70362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*v + 10 - 0, 2*j = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -5072515.\nAnswer: -15217545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-50 - -3) - 1 - -1. Let k be (-60)\/n + -1 - (-17)\/(-36). Which is the second biggest value? (a) -34\/3 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170881 is divided by 2136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - (-5 - (7 + -6))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13595*s*v**3 + 43*s*v**2 + 4*v**3 + 2845*v**2 wrt v?\nAnswer: 81570*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 1\/3*c**3 - 6*c + 4 - c**2. What is the units digit of t(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2324895*w - 4*w**2 + 11*w**2 + 2324914*w.\nAnswer: 7*w**2 + 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -1 + (-364504)\/7924?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 972*n - 256 = 940*n, -40 = -5*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18335928685\/9404 + -1949801. Calculate the common denominator of o and -85\/2.\nAnswer: 9404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*k + 153*k + 143*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280255?\nAnswer: 5, 23, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275)\/60*2\/(-5))\/(707\/4242).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let c(u) be the first derivative of u**6\/180 + u**5\/24 + u**4\/12 - 4*u**3\/3 + 1. Let f(p) be the third derivative of c(p). Calculate f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 - 4 = 0. Suppose 0*c = c + x - 6, -3*c + 18 = -4*x. Let w = -1 + c. Solve w*i = b + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 504 - 1?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 + -7.5. Which is the second smallest value? (a) h (b) 2\/7 (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -73, 1 in increasing order.\nAnswer: -73, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + 4*c. Let r be a(-2). Let b be (-18)\/(-3)*-2*r\/2. What is the greatest common factor of 32 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 70 = 42*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 1. Let d = z + 21. Calculate the remainder when 30 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*b = -1, -g + 1 = -3*b + 2. Find the second derivative of s + s - 4*s - 2*s**g wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:04 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m**2. Let b(i) = 2967*i + 20769. Let w be b(-7). Let k(c) be the second derivative of -5*c + w*c**2 - 1\/12*c**4 + 0*c**3 - 2. Give x(k(o)).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007270298 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111 - -1?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:02 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keoeuueekeee. What is prob of sequence eek?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 0.55\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.46895 tonnes in kilograms?\nAnswer: 55468.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-2 + 6\/(-9)). Let b = 72 - f. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/24 and 50\/249?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 6*z - 2. Let d be u(6). Let f be d\/(-8) + 23\/4. Let b be f + 2\/(-1)*-1. Solve j - 5*j + b = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**5\/20 + l**4\/12 - 9*l + 18. Let n(o) be the first derivative of t(o). Determine x, given that n(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.65 - -278.65. Let v = -280 + k. Which is the nearest to -2? (a) -2\/7 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 4*o**4 + 0*o**4 + (-2 - o + 2)*(0 - 2*o**3 + 0) + (4 - 1 - 4)*(2 + 0 - 4)*(-10*o - 6*o + 7*o)*(o**3 - 4*o**3 + o**3).\nAnswer: 43*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 116\/(-30) + 2\/(-6). Let k = 216 - 213. Let f be 9\/(72\/32) - k. Does g = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 + 7*c - 18. Let k be i(-6). Calculate the greatest common divisor of k and 2004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y - 7. Let b(h) = h - 1. Determine 5*b(x) + u(x).\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 242021 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18*7846950\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10932 = -5*d + 701, -d - 4*j = -2313. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25052566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -187, 0, 4\/7, -0.01, 0.4?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(7*l + 111*l + 12*l)*(-5 + 4 + l - 5*l) to z*l**2 + a + o*l and give o.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 4*m)*((-5*m - 2*m + 6*m)*(1 - 2 - 1) + 3 + 2*m - 3 + 5 + 2*m - 5) + (-15*m + 5*m + 3*m)*(-2*m + 2*m + 2*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 - 1191*w**3 + 78660*w**2 - 1621200*w + 10968000 = 0. What is w?\nAnswer: -457, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 135430, 270856, 406282, 541708, 677134, 812560?\n\"Answer: 135426*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 9*f**2 + 5*f + 7. Let h(t) = t**3 + 5*t**2 + 2*t + 4. Let r(d) = 5*h(d) - 2*q(d). What is the units digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -226786\/57 less than or equal to -3980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + b + 44 = 6*b, 79 = 4*j - 110*b + 117*b + 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1467 + -4916. What are the prime factors of 76\/266 + x\/(-7)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/5 - 53663*n\/5 - 56635122\/5 = 0 for n.\nAnswer: -52586, -1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -4*d**3\/3 - 85*d. Let g(l) = -10*l. Determine c(g(n)).\nAnswer: 80*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -361, -1643, 1 in descending order.\nAnswer: 1, -361, -1643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -47*d + 1010. Let k(m) = -21*m + 506. What is -9*k(z) + 4*l(z)?\nAnswer: z - 514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 1. Let x(a) = 1. Let y(b) = n(b) - x(b). Let s(z) = -10*z. Calculate y(s(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7039\/4 + -1749. What is the common denominator of 55\/(-44)*268\/290 and q?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from cppcpczcwpqp?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*g + 9, 0*j = -3*g + 3*j - 6. Determine h, given that -h**4 + 2*h - h**4 + 2*h**g + 6*h**2 + 2*h**3 + 8 - 18*h = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -33*h - 16. Let m be s(5). Let v be (4\/8)\/(-3 + m\/(-60)). What is the highest common divisor of 45 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = -2*h - 2*j, -4*j = -4*h + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 125 (b) 1\/5 (c) -2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13175 by -2635.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 166?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-395795953)\/6420)\/(484040\/(-42)). Let q = p - 558\/302525. Let t = q - 61\/214. What is the common denominator of -127\/12 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30352 and 144130.\nAnswer: 312473840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) 2443\/10 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-2 - -14) + -27 + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 1468 + 3268. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 1 - 9. Let z be (0\/(-2))\/(p\/2). Suppose 3*n - 4*y - 21 = 0, n - 7 = -z*n - 2*y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -20. Let m be 2 + (-57)\/18 + (-7)\/(-42). Sort m, -5, x, 8.\nAnswer: -5, m, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - 0)\/2 + -3. Is (4\/(-12))\/(p\/17871) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(343)*-1)**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -0.22825374907534?\nAnswer: -15.77174625092466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/588 and -45\/8155952.\nAnswer: 24467856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 119197 = -17*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/866 and -51\/2.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**2 + 10*b + 10. Let l be t(-1). Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/1521 and 22\/2735941.\nAnswer: 24623469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1180 or -809?\nAnswer: -809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/3 - 462820*u + 80325882150 = 0. What is u?\nAnswer: 347115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20772245\/12 + 1732008. Let c = -997 + a. Find the common denominator of ((-5)\/(-12))\/(8\/(-66)) and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83297, -83296, -83295, -83294, -83293, -83292?\nAnswer: -83291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -54. Let j = -2 + -3. Let a = r - j. Put -0.2, 0, a in increasing order.\nAnswer: a, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -934 - -1641. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*l - 6 = -92*l. Suppose 0 = -l*s - 3, 3*j + 2*s = -3*s + 346. Does 15 divide j + (-5 - -8 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -291, -562, -809, -1020, -1183, -1286, -1317?\n\"Answer: 2*d**3 - 285*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 9*f**2 + 2*f - 17. Suppose -19 = 5*y - 64. Let l be g(y). Let x(o) = o**3 + o**2 + o - 1. Give x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x - 2*x)*(4 - 2 - 1) + (-4*x**2 + 2*x**2 + 0*x**2)*(4 - 2 - 9).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*g - 12544 = -149*g + 156*g for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - ((-351)\/315)\/(9\/(-15)). Suppose -29 - 1 = 5*s. Is s greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 91 = 225. Suppose g - y + 3 = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*k**4 + 206 - 206 + (2*k**3 - 4*k**3 + k**3)*(-6*k - 7 + 7).\nAnswer: 87*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -153 and -163?\nAnswer: 24939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5089*w - 34567*w + 12059*w.\nAnswer: -27597*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9198 + -147247\/16. What is the common denominator of 0 + (190\/28)\/1 and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**8\/336 + z**4\/3 - 6*z**2. What is the second derivative of m(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4 in ascending order.\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7771473 to the nearest integer?\nAnswer: 2788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -561 + 11783\/21. Let z = 4.8 - 4.8. What is the smallest value in m, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-116)\/(-8) - 15\/(-10). Suppose -566 = -y*s - 118. What is the least common multiple of 32 and s?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -7*a**4 - 849*a**3 + 612*a**2 + 244*a = 0.\nAnswer: -122, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1.1. Let g = -17.2 - z. Let k = 17.1 + g. Which is bigger: k or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -21*w + 3120. What is the units digit of o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/10)\/((-13)\/390). Let n(o) = -o**3 + 8*o**2 - 7*o + 8. What is the smallest common multiple of (1 - -2)*(-3)\/(q\/(-8)) and n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - 1. Let g be ((-1)\/2)\/(4\/p). Sort -2, 3\/4, g in ascending order.\nAnswer: -2, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 112. Suppose 6*y = t*y + 12, -m + 135 = 2*y. Suppose -5*o + 82 = 5*f - 98, 0 = -5*o - 4*f + 178. Calculate the remainder when m is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 13*f - 14. Suppose -7*m + 65 = -2*m. Let r be j(m). Let d be 1 - (-4)\/r - 18\/(-63). Is 1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o = -9*o - 1098 + 90 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -788.76 - -800. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (5 - 3)) + 16. Suppose 0 = -5*v + l, 5*m + v - 276 = 4*m. What are the prime factors of m?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*q + 21824 - 1275 = 8*q + 1205 for q.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**2*k**3 - 4*c**2*k**2 - 10*c*k**2 - 1222*c - 4535935*k**3 - 97*k**2 + 2*k wrt k?\nAnswer: -54*c**2 - 27215610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 23*w**2 + 29*w - 64. What is p(22)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**2 - 5 + 6*z**4 + 2*z**4 - 17 - 13*z**4 wrt z.\nAnswer: -20*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -5, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**4\/12 + 7*p**3\/6 + p**2. Let v be m(-5). Let o be (-9)\/v + -1 - 0. Solve -1 = o*i - 5*k + 14, 5*i = -k + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-4) - 70\/(-280)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631 + 1102. Suppose 0 = -2*y + d - 149. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3547, 3550, 3553?\n\"Answer: 3*l + 3544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.5, -29787 in decreasing order.\nAnswer: 32, 0.5, -29787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 - 0.03. Let n = i - 1. Which is the second biggest value? (a) -2\/11 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 + 11*q - 7. Let d be u(10). Let b(p) = -2*p - d*p + p + 3*p - 10. What is b(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1172 (c) -0.2 (d) 26 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -718, -2845, -6390, -11353, -17734?\nAnswer: -25533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - 70 - 16\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13873.\nAnswer: 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 <= -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1891*z - 977*z + 186625 + 62891 for z.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 168*b**4*s**2 - 4*b**2*s**3 - 335*s**3 wrt b?\nAnswer: 672*b**3*s**2 - 8*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4344 + -1233. What are the prime factors of c?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905634?\nAnswer: 2, 3, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 8. Let o(v) = 3*v + 4. Let r(d) = 5*o(d) - 3*s(d). Let t be r(11). List the prime factors of (t\/3)\/(1\/(-3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Let f = -1.4 + 1. Let v = f + a. What is the third smallest value in -3, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-10))\/(((-27)\/(-945)*14)\/2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - (8 - 9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1193192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322073132 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -139707 and 190765.\nAnswer: 51058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 1042695740*p + 54360720310707380.\nAnswer: 5*(p + 104269574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59621.5 minutes to nanoseconds.\nAnswer: 3577290000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:23 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -182591652 divided by -3?\nAnswer: 60863884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 9*d - 46)*(-1 + 3 - 3)*(d + d + 4*d)*(3*d**2 - 4*d**2 - 2*d**2).\nAnswer: -162*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*v**3 + 0 + (-2*v - 2*v + v)*(2*v**2 + 10 + v - 10 + (-7*v - 177*v + 94*v)*(-v + 0*v - 2*v)) as d*v**3 + y + s*v + g*v**2 and give d.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(11184\/(-20))\/((-10)\/25). Suppose 5*p - 1177 = f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74231 or -173?\nAnswer: 74231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*g**2 + 2*g**3 - 291*g + 286*g + 3 to s*g + u*g**3 + a + c*g**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -21. Let i(d) = d**3 + 3*d**2 + 2*d + 2. Determine i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 3709975238.\nAnswer: -3709975237.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829585 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 138969.9 nanograms in micrograms?\nAnswer: 138.9699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = 5*y - 27, 3*j = -3*y + 18. Let a be 0 - (-7 + y + -2). Suppose -2 = -2*l + a. Solve -3*o + 20 = -5*q, q = -l*o + 6*q + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -15*h + 14. Let w(y) = -14*y + 24 - 19 + 9*y. Let k(x) = 2*x**3 - 44*x**2 + 113*x + 36. Let m be k(19). What is m*w(t) - 6*v(t)?\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 28?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 46, 42815, -10 in decreasing order.\nAnswer: 42815, 46, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m**4 + 76*m**3 + 40*m**2 - 352*m - 432. Let p(d) = -d**4 + 2*d**3 + 2*d**2 + d + 3. Let b(t) = -j(t) + 16*p(t). Factor b(s).\nAnswer: -4*(s - 3)*(s + 2)**2*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315\/(-70)*4\/6*32\/6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -154 and 14748.\nAnswer: 14594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5373921 tonnes to grams.\nAnswer: 537392.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 166. Let d(v) be the first derivative of -2*v**2 + 167*v - 8. Let m(u) = -5*d(u) - 6*s(u). Is m(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1891, -1896, -1903, -1912, -1923?\n\"Answer: -y**2 - 2*y - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r - 7. Suppose -7*k = -2*k - 30. Let x = 0 + k. List the prime factors of t(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1175590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212402 - -68818187\/324. Calculate the common denominator of g and -149\/540.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/54)\/(4\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -53\/32343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/210 + 12*a**4\/7 + 80*a**3\/3 + 3579*a**2. Factor i(t).\nAnswer: 2*(t + 4)*(t + 140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1518740448 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3325346.\nAnswer: 2, 41, 107, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d*f**2*g**3*m + d*f**2*g**2*m - 3*d*f*m + 20*d*g**3 + 22*f**2*g - 4*f**2 + 10*f*g**3*m + 14*f*g**2*m wrt g?\nAnswer: -54*d*f**2*m + 120*d + 60*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.26451 to the nearest integer.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -4)\/(10\/2). Suppose a = 6*j + 4*j. Let f be 1*(-4)\/2*(j - 2). Solve 0 = f*y - 3*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 18*l - 4. Solve 3*w = -l*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6425 + 5571?\nAnswer: -c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57917079, 57917090, 57917123, 57917190, 57917303, 57917474, 57917715?\n\"Answer: 2*x**3 - x**2 + 57917078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, -5, 3, 970 in increasing order.\nAnswer: -5, -3, -2, -1, 3, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 + 21?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-43)\/86)\/(3*(-3)\/(-3042)). Which is the biggest value? (a) 0.4 (b) v (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uubllguggr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 134 - 1248?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4011389 = -871871. Suppose 5*i - 2*y - 4716271 = 0, 3*y - 2829750 = -3*i - 0*y. Let b = i - c. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*t = -17 - 5, -3*t = -2*y + 13. Let x be (18\/(-405))\/(y\/(-5)). Let z = -1158 + 1157. What is the nearest to x in 5, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:39 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 614 + -584. Let q be 9 + (-1*2)\/(-2). Calculate the highest common factor of h and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 11*j + 2. Suppose 3*r + 4*f - 3 = 2*r, -3*r = -2*f + 33. Let x be (-4)\/18 - 101\/r. List the prime factors of m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13942 and 3964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 226155 - -17?\nAnswer: 226174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51670805*w**2 - 38263086*w wrt w.\nAnswer: 103341610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1835 + 44?\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209699 - 3143563\/15. Let o = z + -128. Is o greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-12) + 18\/8. Suppose i*z - 100 = -15*b + 10*b, 15 = 3*b. Are 24 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/4 (b) 5 (c) -2\/5 (d) -4 (e) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102554701?\nAnswer: 29, 3536369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 3*z**2 + (-4*z + 3*z + 2*z)*(35*z - 5*z + 5*z).\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 139\/(-2363)*17\/(-6)*4\/63.\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 676, 672, 668?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/9 - 4489552*x\/9 + 8979100\/9.\nAnswer: (x - 4489550)*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -11.7661?\nAnswer: -19.7661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7668243.\nAnswer: 3, 11, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let r(o) = -12*o**2 + 14*o. Let w(i) = 7*i**2 - 6*i. Let g(v) = 3*r(v) + 7*w(v). What is p(g(k))?\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/27 and 127\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*b + 459*b - 93*b to the form v*b + h and give v.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 12 = 5*h - u, 4*u = -5*h - 21. Calculate the lowest common multiple of (-812)\/(-21) - h\/3 and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 273*a**2 - a. What are the prime factors of j(1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 32 = 3*l, 6*p - 2*l + 4 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -11\/320465 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472892 is divided by 2042.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 281\/39 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -498921, 6 in ascending order.\nAnswer: -498921, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -3326?\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 53359*b**2 - 2*b + 26880*b**2 + 26487*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from accrcrccrracccrrc?\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -99*c**3 + 4*c**2. Let r(f) = -98*f**3 + 5*f**2. Calculate -4*r(u) + 5*w(u).\nAnswer: -103*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:21 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(20*c**3 - 11*c**3 - 2*c**3) + c**3 - 2*c + 2*c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98287 by -98287.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 49. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1874 + -1859. Suppose -10*q + 26 = -654. Calculate the remainder when q is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = -q - 0*u, -5*q - 4*u = 42. Let i be (-2)\/q*15 + -1. Suppose 2*k + w - 8 = 0, -w + i = -2*k + 3*k. Solve z = 2*a + 3, 6*a - k*a + z = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 12:52 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3816.5 (b) 2\/9 (c) 1\/2 (d) -1 (e) -0.3 (f) -5 (g) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 36\/15 + (-14)\/35.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b**2 + 13*b - 1. Let o(k) = -51*k**2. Determine i(o(f)).\nAnswer: -26010*f**4 - 663*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*y**3 - 1684*y**3 + 553*y**3 + 567*y**3 - y**2 + y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:51 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1341 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 97 = -117 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and 22?\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 363*t + 358*t + 9 = 0, 3*t = 5*f + 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -11784198\nAnswer: 1\/11784198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from pppppappppuazaup.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/24)*g*g*g\/g**(-3\/22) assuming g is positive.\nAnswer: g**(839\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6)*(-5*b + 0*b + 3*b**2 - b**2) + 0*b**2 - 4*b**2 + 3*b**2 + 1 + 1 + b**2 - 1.\nAnswer: 12*b**2 - 30*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-10) + 8\/20. Is 259 - (0 + 5 + u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1161.962 - -1161. Let c = 0.962503 + s. What is c rounded to five decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 8) to base 7\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {l: 2, h: 11, z: 6}.\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 21888.\nAnswer: 65664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27832576 rounded to the nearest ten thousand?\nAnswer: -27830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 294, -12 in increasing order.\nAnswer: -12, 0, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 13*f - 9. Let h be p(-1). Solve 4*s + 14 = k, h*k + 2*s - 4*s = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123545469, 123545468, 123545467, 123545466?\nAnswer: 123545465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 8916238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-20)\/(-30)*3\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.84 in 2\/11, 3\/5, 3\/8, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 108*-51319\nAnswer: -5542452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -11, -1, 13, 31, 53?\n\"Answer: 2*x**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:03 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*o = -315*o - 48. Let q be o\/60*10\/(-4) - 3. Is q >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 16347?\nAnswer: -16349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-10))\/((-2)\/370). Find the common denominator of v\/60 + 1 + -1 and ((-3)\/(-2))\/((-12)\/(-74)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f - 10 = 4*j, 4*f - 96 = 2*j. Let y be (-643)\/9 + 36\/81. Let v = f - y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*u - 5*g + 43, 8*u + 3*g - 14 = -10*u + 172 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72246, 71797, 71348, 70899, 70450?\n\"Answer: -449*p + 72695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 635 + -10801\/17. Let r = u - -75\/68. Put -5, -0.5, r, 1 in decreasing order.\nAnswer: 1, r, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16726*r**2 + 6*r - 3. Is d(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12 - 35\/(-4). What is the units digit of 0 + 1 + g - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (102\/64)\/((-1)\/460). Let j = m + 1477\/2. Find the common denominator of j and (272\/(-30))\/1 + 15\/90.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1410.844 and 55635.\nAnswer: 57045.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/7 + 5*c**3\/7 - 31*c**2\/7 + 43*c\/7 - 18\/7.\nAnswer: (c - 2)*(c - 1)**2*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 29. Let p = r - -22. Which is the smallest value? (a) 5\/3 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 + -77 + (-128 - -355)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 12:08 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*j = 3, -3*i + 4*j = -7*i + 32. Suppose -w + i = 4*p, 3*w + 5 = -2*w. Which is smaller: 1\/6 or p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgh when three letters picked without replacement from hmagm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 16 = 0, 4*a - 2*q = 8. Let l(z) = -6*z - 19. Let m be l(-3). Sort 5, a, m in descending order.\nAnswer: 5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (2*sqrt(130))\/sqrt(10)).\nAnswer: 12 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 107, -379, -1, -50 in decreasing order.\nAnswer: 107, -1, -2, -50, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 257, 250, 239, 224, 205?\n\"Answer: -2*g**2 - g + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4\/11 - 25246*m**3\/11 - 12638*m**2\/11 + 88356*m\/11 + 75744\/11 = 0.\nAnswer: -3\/2, -1, 2, 6312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/9)\/(2\/(-12)). Let h = 47 - j. Let v = h + -1. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7*i - 62235 = 0. Let m = 41335 + i. What is m rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3694*s + 3636*s - 2*s**2 - 2*s**2 + 3748*s - 10798*s.\nAnswer: -4*s**2 + 280*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fd + 5?\nAnswer: -f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -47627798?\nAnswer: -47627788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 37 = -8*p - 2*f, 0*p - 3*f + 56 = 4*p - 8*f for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5558 divided by -3\nAnswer: -5558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1000*n + 6001. Let b be d(-6). What is the greatest common divisor of b and 1665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -32*f**3 - 2*f**2 + 7*f + 25. Let j be a(-3). Let m = j + -430. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 14*r - 11. Let d be u(-13). Let j = -16 + d. Are j and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50968527 to the nearest integer?\nAnswer: 7139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/89559 and 91\/1070.\nAnswer: 895590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {h: 5, r: 15}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1. Let q(h) = -1. Let u(a) = 2*q(a) + x(a). Let l(t) = -3*t + t + 2*t + 2 + t. Let v(o) = l(o) + 2*u(o). Let d(c) = -4*c. Give v(d(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 2. Let i be a(7). Suppose -6*j + i = -3. Find the third derivative of 16*d**4 - 42*d**2 + 5*d**j - 3*d**2 wrt d.\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 + -272. Let b(q) = -q**3 + 8*q**2 + 5. Let k be b(8). Solve -k*d + u = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12533 - -12661. Calculate the remainder when 259 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8 = -5*f, f = t + 55 - 51 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3 + 3 + (-3 + 3 - 2)*(g - 2*g + 0*g) + 0*g + 0*g - g)*(-3*g**2 + 417 - 6*g**2 - 419).\nAnswer: -45*g**3 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 10. Let a be (2\/(-3) - 0)*p. Suppose 0 = -2*r + k + k + 6, 0 = -a*r - 3*k + 12. Solve 0 = 5*m - 3*m + 3*y - r, 0 = -m - y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 21, -5, 48, 5.\nAnswer: -5, -1, 5, 7, 21, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119663 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 502707.\nAnswer: -19\/502707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 + u**2 + 4*u + 5. Let d(i) = 14*i**3 + 3*i**2 + 9*i + 10. Let p(q) = 3*d(q) - 7*m(q). Let o be p(-5). Let v = o + -54. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-12)\/(-166)))\/((-509)\/(-1527))*(-2)\/2.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 60?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h - 2 + 9 - 5. Let w be r(-1). Let m(s) = 3*s. Let y be m(-1). Are y and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = 31*f - 5*x + 515, -4*x - 1 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32458 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by ((-700)\/112)\/(2\/(-6) + 49\/156)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/(2\/4). Let u(x) = -x + 2*x - n + 6. Let r be 1*-15*(0 + 1\/3). What is u(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 9) to base 16\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 2*p - 14, p - 5*s = 14. Suppose 0*g + p = g. Let z(f) = 3*f - g*f - 10 + 0*f. Give z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -m - 102, -7*m - 536 = -2*m - 2*y. Is (-1)\/(2\/m) - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -20. Let g be 0 + 2 + q\/(-8). Put g, 3\/5, 1 in descending order.\nAnswer: 1, 3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 15 = -25. Let q be -2 + 0 + -3 + 9. Calculate the lowest common multiple of (q - 2) + (0 - -4) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 + 270. Let l(y) be the first derivative of 0*y**3 + 1\/4*y**4 + 0*y**2 + p*y + 4. Determine c, given that l(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -16*x + 4, -3*x - 7 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 554, 521, 458, 359, 218, 29, -214, -517?\n\"Answer: -o**3 - 9*o**2 + o + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:50 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8 + 2*h**2 + 10*h + h**3 + 5*h**2 + 5*h**2. Let x = 599 - 594. Let m(g) = -g**3 - 12*g**2 - 10*g + 9. Let v(r) = x*m(r) + 4*d(r). What is v(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244203 (base 5) in base 8?\nAnswer: -22127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 288 * -0.4981\nAnswer: -143.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let x(z) be the third derivative of -311*z**4\/12 + z**3\/6 - 41*z**2 - 2. Give x(i(g)).\nAnswer: -1244*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/4, 5044\/23, -3, -34?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.23 rounded to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/(-20) + 3)\/(1\/8). What is the nearest to 2 in -46, 1\/6, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 171 = -189. Suppose 3*v + 0*v = t. Calculate the greatest common divisor of 45 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6688 (base 11) to base 13\nAnswer: -4017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 365655 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (1 - -1)\/(-1). Let w be (-494)\/(-260) - 1\/(-10). Solve v + v - 3*r - 4 = 0, -w*v - 3*r + j = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 0.0481?\nAnswer: -0.1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12572 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-1 + -1) - -36. Suppose -8*j = -4*j - s. Let q be (-3 - j\/(-6))\/((-4)\/3). Sort -7, q, 2\/9, 0.2 in descending order.\nAnswer: q, 2\/9, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/180 and ((-2260)\/(-8000))\/(6\/20*(2 + -6))?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 3. Let f(y) = y**2 - 8*y - 6. Let v be f(9). Let g be q(v). Find the first derivative of 5 + g*m - 8*m + 0 wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4590527606 to 5 decimal places.\nAnswer: -0.45905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 2. Let o(r) be the second derivative of r**4\/12 + 7*r**3\/6 + 3*r**2 + 6*r. Calculate -7*f(b) - 2*o(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -756218000 to the nearest one million.\nAnswer: -756000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 - -18. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 56, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -4) + -13 + 3 + -2 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - -49. Let s be 135\/27*(-2)\/(-5). Calculate the remainder when o is divided by ((-884)\/(-39))\/(s\/3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, -3, 10, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g, 3*y - 5*g + 3*g + 25 = 0. Let l(v) = 3*v - 7. Give l(y).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1053)\/855 - (-6)\/10. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 1251 = -17575. Suppose 3*u + 750 - d = -2*w, u + w = 528. Round u to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1056*b - 6776 + 2733 + 27275 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425952 and 24327?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 47. Let i be 4*(100\/p + 3). Factor i + 8\/3*l - 14\/9*l**2.\nAnswer: -2*(l - 2)*(7*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 2*i**2)*(-2 - 2 - 13) + (-5 + 4 + 0)*(0 + 2*i**2 + 0) + 0*i**2 + 4*i**2 - 6*i**2 + 4*i + 2*i**2 - 4*i.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let r = 54 - 386\/7. Let k = r - -10\/21. Is t at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4) - (-2 + -1). Let f = l - -2. Solve -20 = -f*i, 5*n - 21 = -0*i + i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 298 - 66 = 80. Suppose 0 + 2\/3*s**q + 46\/3*s**2 - 26\/3*s**3 - 22\/3*s = 0. What is s?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422 divided by 33.\nAnswer: 422\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 6, m: 3, r: 2}. What is prob of picking 1 w, 1 e, and 2 m?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6\/11)\/m*m**5)\/(m\/(m**17\/m)*m**(-10)) assuming m is positive.\nAnswer: m**(324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 11) + 3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w**(-4\/3))\/((w**(5\/2)\/w*w)\/(w\/(((w\/w**(6\/7))\/w)\/w))))**(-23) assuming w is positive.\nAnswer: w**(-1633\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {v: 8, c: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l + 12. Let m(y) = 5*y - 7 + y + 2. Let t(n) be the first derivative of -n**3\/3 - 4*n**2 + 21. Let u be t(-2). Calculate u*m(g) + 5*j(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyo when four letters picked without replacement from {o: 6, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*m + 3*g, 4*m + 31 = -0*m + 5*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06632 and -3.\nAnswer: -3.06632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -38*(-27 + 5)*4\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/4 - 3089*f**4\/4 - 121877*f**3\/4 + 253025*f**2\/4 - 64029*f\/2 = 0.\nAnswer: -3049, -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 <= -0.18429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -289424, -578838, -868252, -1157666?\n\"Answer: -289414*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(500) - -5*sqrt(320))**2.\nAnswer: 24500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11\/z)**(7\/2))**(-40) assuming z is positive.\nAnswer: z**(-1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 31 = -6. Suppose -10 = -4*l + 2*g, l - d = -0*l + g. Suppose 0 = -2*k + 14 - l. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31\/403 + ((-2)\/(-15) - 25084677\/(-585)). Calculate the highest common factor of 40 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 8*w + 1. Let b be k(6). Let f = -9 - b. Factor -d + 0*d**2 + f*d - d**2.\nAnswer: -d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -3\/19 (c) -1 (d) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:50 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18629 - 18628. What is the least common multiple of a and 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**8\/560 + 5*p**4\/24 + p**3\/3 + 2. Let g(i) be the third derivative of a(i). Find the first derivative of g(b) wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9922133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q**(2\/5)*q)\/q*q)**(7\/2)*q**(1\/5)*q*q\/q**(-4))**20 assuming q is positive.\nAnswer: q**362","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 19*m**2 - 53*m**3 - 17*m**2 + 55*m**3.\nAnswer: 2*m**3 - 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 21*u**2 + 3*u - 301. Calculate the remainder when 1090 is divided by g(-20).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201500549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(121) + -6*sqrt(121)*1))\/((sqrt(110) + 6*sqrt(110)*-5 - sqrt(110) - sqrt(110))\/sqrt(10)) + 5.\nAnswer: -15*sqrt(11)\/31 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdmm when four letters picked without replacement from {f: 2, m: 5, h: 3, d: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 26*a - 208. What is n(13)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663009, -1326017, -1989025?\nAnswer: -2652033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 - 2*d - 2. Let j(k) = 5*k**2 + 2*k + 1. Give -4*f(u) - 5*j(u).\nAnswer: -u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.5 + -60.86. Let n = 0.36 + o. Let x = 15.3 + n. Which is the closest to 0.2? (a) 2 (b) 1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86136 and 32856.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:40 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u\/(u**(1\/3)\/u)*u)\/u*u*u*u*u*u\/(u*u\/u**4))**(5\/9)*u**(-3)\/u*(u\/((u\/(((u\/u**(-1\/7))\/u)\/u))\/u))\/u*(u\/(u*u**0))**(-1\/14) assuming u is positive.\nAnswer: u**(202\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 33*x**2 - 2369*x + 52577. Calculate b(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225261*g*r**3 - 1230*g*r + 8*r**2 - 1 wrt r?\nAnswer: -1351566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -294, -690, -1262, -2016, -2958?\nAnswer: -4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -29. Suppose 2*d = -3*f + 25, 5*d - 15 = -3*f + w. Let q(o) = o**3 + o**2 - 3*o + 2. Let i(g) = -3*g**3 - 2*g**2 + 7*g - 5. Give f*q(y) + 3*i(y).\nAnswer: -2*y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*3*-1*(-10)\/135?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352708 + 2531330. Let f = s - -1161378. What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*x + 5*b, -5*b = 2*x + 10 + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -2\/3, 2\/11, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3459822, -3459813, -3459814, -3459831, -3459870, -3459937, -3460038?\nAnswer: -3460179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14329, -8, 3, 4, -2 in increasing order.\nAnswer: -14329, -8, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364621 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 2644 and 2597069?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27540 + 87104\/3. Which is smaller: c or 1494?\nAnswer: 1494","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 minutes before 5:43 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 60281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -44. Let s = w - -1. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*s + 2*j, 3*s - 4*s + 3*j + 6 = 0. Let g = 1 + s. Sort 4, -2, g.\nAnswer: -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 16581, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 + 991756770*s + 49179074542041645 = 0.\nAnswer: -99175677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3. Let v = -95 - -93. Let m(n) = 2*n**3 + n. Determine v*o(s) - m(s).\nAnswer: -4*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1830555*f.\nAnswer: -3*f*(f + 610185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14 + -4 + (1 - 3). Let y be g\/(-70) - (-23)\/(-7). Let x(v) = -v**3 - 10*v**2. Let s be x(-10). Put s, 1, y in ascending order.\nAnswer: y, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 - 3*o - 1. Let w be i(-5). Let a be (-4)\/14 - w\/(-14). Let j = 39 - 35. Solve j*u = -f - f - 6, 5*f = -5*u - a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 + 1. Let p(b) = -4*b**4 - 3*b**3 + 3*b**2 - 8. Let r(q) = 3*o(q) + p(q). What is the derivative of r(l) wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5874900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -159, -110, -11, 156, 409?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 2*d, -4*s - 2*d + 17 - 1 = 0. What is the second derivative of 6352 - m**2 - 12*m**s - 6352 - 157*m wrt m?\nAnswer: -72*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v + 1 + 59 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 2*c + t + 136, 5*t + 249 = 4*c. What is the highest common factor of 4125 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4147 + 66253\/16. Calculate the common denominator of z and 63\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402896617?\nAnswer: 17, 23699801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012102 - -220?\nAnswer: -12011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 805615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 14) to base 6\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*b**3 + 171*b**3 + 167*b**3 - 511*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-254)\/2159 + 682\/17 + 0. Calculate the highest common divisor of p and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187*q*x**5 + 12*q*x**4 + 37*q*x**2 - 28*x**2 wrt x.\nAnswer: 11220*q*x**2 + 288*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**7\/168 - x**6\/120 - 3*x**5\/80 + x**4\/48 + x**3\/12 + 3*x + 1. Let q(h) be the first derivative of a(h). Factor q(m).\nAnswer: m*(m - 2)*(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(65)*4 - sqrt(65) - sqrt(65)))\/((sqrt(400) + sqrt(400) + sqrt(400) + sqrt(400) + sqrt(400)*5 + sqrt(400) + sqrt(400))\/sqrt(5)).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39137253 - 3284*s - 39137253.\nAnswer: -3284*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2933277?\nAnswer: 3, 19, 51461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**3 - 80*r**2 - 1 + 87*r**2 + 28*r**3 - 32*r**4 - 13*r**3 as n + u*r**3 + s*r + w*r**2 + b*r**4 and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -19*u**4\/4 + 35*u**3\/3 - 35*u. Find the second derivative of m(h) wrt h.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 + -166. What is the highest common factor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2024*i**4 - 66*i**3 + 11*i**2 - 268. Let x(v) = 2*v**4 + 6*v**3 - v**2. Let q(f) = -44*x(f) - 4*z(f). What is the first derivative of q(c) wrt c?\nAnswer: 32032*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000395 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let l = -64\/123 - 6\/41. Sort 3\/8, l, w.\nAnswer: l, 3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 114*k**2 - 139*k + 872. What is the thousands digit of d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6 + 608\/120)*(-81 + 76). Sort 2, -5, m, 5 in decreasing order.\nAnswer: 5, 2, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-4) - (-11)\/(33\/(-9)). Solve 2*a - 5 = b*g - 25, 4 = 4*g + 3*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**3 + 7*f**2 - 8*f - 10. Let i = 2 + -7. Let z = -8 + 16. Let t(o) = 7*o**3 + 5*o**2 - 5*o - 7. Let a(r) = i*k(r) + z*t(r). What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.0481445377.\nAnswer: 2.0481445377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.8 + -11. What is the closest to 1 in i, -1\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1201.9 and -98.07036.\nAnswer: 1103.82964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282026?\nAnswer: 2, 3, 73, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**7\/840 + t**6\/90 + t**5\/20 + 7*t**4\/24 + t**3\/3 - 28*t + 129. Let z(x) be the third derivative of g(x). Calculate z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(19) - sqrt(38)\/sqrt(2)))**2*5 + -5*(4 + sqrt(76)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*i = 10, 7*j - 3*j - i = 25. Suppose 360 = v + 3*v. Suppose 3*k = -j*k + v. What is the remainder when 47 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -30. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -b - 2*b, 16 = -3*d + 5*b. Let f = d - -2. Solve -11 = -f*p + 2*p - 5*t, 2 = -5*p + 4*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*12\/10*10\/(-180)*30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 389 + 14. Let y be s\/1105 - 6\/10. What is the third smallest value in -5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/3360 - j**6\/720 - j**5\/480 + j**3\/2 - 4*j. Let o(k) be the second derivative of i(k). Let o(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301060755?\nAnswer: 5, 7, 17, 461, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 12. Let d(g) = g. Let x(q) = 3*d(q) - i(q). Let l be x(-10). Solve 0 = p - 0*p + l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoepetr. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-416)*-8*(-18)\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, s: 1, d: 1, j: 2}. Give prob of picking 1 s and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4817, -4821, -4825?\nAnswer: -4829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 3, c: 9}. What is prob of sequence tzz?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.3 (b) 0.1 (c) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 439685 divided by 9355\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 9. Let o be a(11). Let b(m) = 3*m - 15. Let w be b(5). Suppose 29 = -4*h - 0*h - 5*k, 0 = h + 4*k + 21. Sort o, w, h in descending order.\nAnswer: o, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 192*o**3 + 189*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 39. Suppose -29 = -11*f + 9*f + g, -3*f + 26 = 2*g. Is f >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16.6. Sort -1, v, 2 in descending order.\nAnswer: 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, i: 1}. Give prob of sequence oi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-5)\/(20\/8). What is the first derivative of -7*t**3 - 4 + 2*t**3 + x + 4 wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21952 or 67?\nAnswer: 21952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -461, -438, -415, -392, -369?\n\"Answer: 23*m - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80022, -80020, -80018, -80016, -80014, -80012?\n\"Answer: 2*v - 80024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.26 and 2.9590137.\nAnswer: 3.2190137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 364492*b - 16606802258.\nAnswer: -2*(b + 91123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1. Let v(s) = -1. Let g(t) = 4*u(t) - 3*v(t). Let h = -341 + 335. Let f(z) be the third derivative of z**4\/24 - z**3 + z**2. What is h*g(r) + f(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Let y(c) be the first derivative of -c**3\/3 - c**2 + 4*c - 5. Let n be y(0). Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/35)\/((-2)\/(-84)). Suppose -4*x - 2*h = 2*h - w, -3*x = -2*h - 64. What is the smallest common multiple of 34 and x?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*g + 12 = 0, 3*h - 8*h + 9 = 3*g. Suppose -c = -5 - 0. Let x = 7 - c. Is h < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000236109 rounded to 6 decimal places?\nAnswer: -0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(-13 + 13 - 10*l) + (-l + 0*l + 3*l)*(-2 - 1 + 2) - 2*l + 3 - 3 - 2*l + 0*l + l + 0*l + 2*l + l.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 minus 3.23?\nAnswer: -3.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29919436 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262 + 2?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 3*h**2 + h**2 - 4*h**2. Let u(t) = -1 + 1 - 3*t**2. Give i(u(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2 - 2, -k - 3268 = -3*u. Calculate the greatest common divisor of 68 and u.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.95 - -1.95. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40504 + 40520. Solve -4*b - l = 8*j - 4*j, -5*j = -b - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 746 in -23\/254, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2377741, 4755448, 7133159, 9510874, 11888593, 14266316?\nAnswer: 16644043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -10. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1859 - -1929 - (-1 - 9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-102)\/187 + (-1582)\/(-77)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*-1)\/(4\/(-8)). Suppose -p*k + 16 = 0, -434 = -5*n + 5*k - k. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44972095 to the power of 1\/2, to the nearest integer?\nAnswer: 6706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let l(n) = -839*n**2 - 2*n. What is h(l(m))?\nAnswer: 1678*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1183 and 7.46.\nAnswer: 7.5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let f = n - -2. Solve 6*o = f*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 6*f**2 + 6. Let r be a(6). Suppose h - r = -h. Let g(s) = -3*s**2 + 5*s - 3. Calculate g(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2048, -2, -32 in ascending order.\nAnswer: -32, -2, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570, -521, -484, -465, -470, -505?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6180 is divided by 727.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 1. Let m(l) = l**2 - 3*l + 3. Let p(u) = 2*b(u) - m(u). What is the units digit of p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*f**3 - 1001*f**2*g + 28*f**2 + f + 4285750*g wrt f.\nAnswer: -114*f - 2002*g + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/108 + 942\/(-1320).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18344650 is divided by 1159?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, -20, -27\/4, -2, 27 in ascending order.\nAnswer: -20, -18, -27\/4, -2, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to -293839\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, k: 1, c: 1, u: 1, j: 1}. Give prob of sequence uk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*j + 118406 = -j, 4*j = 5*x - 118426. Let h be x\/4 - 6\/(-4). Let t = 3578 + h. Round t to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**5 - 10147630*k**4 - 2484*k**2 + k + 2844?\nAnswer: -480*k**2 - 243543120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -22338*m - 255. Let p(j) = -349*j - 4. Give 4*h(l) - 255*p(l).\nAnswer: -357*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 236.144056.\nAnswer: -232.144056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 23*z = 0. Solve z = u - 12 + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -1 (b) -0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*u**4 + 6223*u**3 - 6223*u**3 + 1 + (2*u**4 + 5*u**4 - 4*u**4)*(-1 - 1 + 3).\nAnswer: 42*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 520982 + 677021. Suppose 2*w = -c + 3018003. What is w rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 - o**2 + 3*o**2)*(107*o - 93001 + 93001) in the form u*o**3 + k + g*o**2 + j*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/d)**(2\/7)\/((d**1\/d)\/(d\/(d**(-2\/17)*d))) assuming d is positive.\nAnswer: d**(-23\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7273354003 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 2*m**3 - 2*m**3 + (13 + 3*m - 13)*(m**3 - m**3 - 2*m**3))*(-2*m - m + 4*m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 57*v**2 - 192*v - 132.\nAnswer: 3*(v - 22)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112072394 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = y - 24, -14 = a + 5*y - 38. Let m(b) be the first derivative of -3\/4*b**a - 24*b + 2*b**3 + 3 + 6*b**2. Find q such that m(q) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6566, 0, 3, 8, 2, -2 in decreasing order.\nAnswer: 6566, 8, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a**2 + 35*a + 2*a**2 - 34*a - 3*a**2 - 5 + a**3. Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681455977 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1362*k**3 - k**2 - k + 1. Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 207186, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.735 plus 0.4557918392?\nAnswer: -2.2792081608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 31*k**2 - 20*k - 124. Let x be v(-30). Let j = x - -436. Calculate the remainder when 89 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 - 4 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*v + 13, -15457*v = -15460*v + 4*h + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1200 = 5*n, 3*z - 684 = 8*n - 11*n. Is z <= 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.687cm in kilometers?\nAnswer: 0.00656687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = x - 288, x - 3 = -7. Suppose -5*w + b + 514 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972070.\nAnswer: 2, 5, 11, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23482 - -23479. Let z = 0.3 - -0.4. Let w = z - 2.7. What is the nearest to a in -3\/7, w, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*f + 3, 413*z - 416*z + 2*f + 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c56 (base 14) in base 10?\nAnswer: -84748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 4 = 0. Let m(k) = 10*k + 111. Let u be m(25). Suppose u = 6*n + 283. Solve n = 5*t + i - 3*i, 3*i = j*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/4 + i**3\/3 + 1212*i**2 + 5930*i + 4162. What is the derivative of u(t) wrt t?\nAnswer: -3*t**2 + 2*t + 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose 2*n = 10*n. Suppose 0*s - 4*s + 8 = n, -2*s = -3*o - 4. Which is the second smallest value? (a) h (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 666 - 616 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 188273 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: Which is the nearest to -0.11? (a) 3 (b) -173 (c) -4 (d) 6.195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f**2 + 13*f - 1. Let s(j) = -j**2 + 8*j**2 - 2 + 1 + 57*j - 50*j. Let p(t) = 6*d(t) - 11*s(t). Determine p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-99)\/154*-7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = 0. Solve -5*j - 2*o - 3*o = z, o = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64616 divided by -15769\nAnswer: 64616\/15769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 4559. Let a(k) = -8*k. Determine a(o(v)).\nAnswer: 16*v**2 - 36472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 104\/18 - (-16)\/72. Let n(j) be the first derivative of 1\/12*j**o + 0*j**2 - 3\/10*j**5 + 0*j - 1\/6*j**3 + 4 + 3\/8*j**4. Let n(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184 (base 11) to base 5\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 269\nAnswer: 269.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(6 + 50\/3). Let x = -30 + j. Solve -x*w = 13 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*v + 0*v = 0, l + 3*v - 18 = 0. Suppose -4*c + l*c = -12. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266624 by 64.\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3627 by -13.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 3. Let h(a) = -a - 1. Let f(t) = -7*h(t) - 2*m(t). Let x(j) = 5*j + 4. Calculate 3*f(s) - x(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (24 + -13 - (-5 + 20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 + 6*o**2 - 9*o + 19. Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - s - 34 = 12, 0 = -x + 3*s + 18. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/80 - 5*r**4\/8 + 12*r**3 - 46*r**2. Suppose h(q) = 0. Calculate q.\nAnswer: -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61715771\/450 - -137146. Find the common denominator of n and -26\/27.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10675661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 227600 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 - 61*v - 37. Let o be t(-6). Solve 5*b + 26 = 6*z - 4*z, -z = -o*b - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 24 = 28. Let d be -6 + (-152)\/p + 9822\/130. Let m = d - 75. Which is the nearest to -3? (a) 3\/2 (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - 4. Is 11 a factor of 3\/8*-2*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*w - 0*o + 40, -3*w + 29 = 4*o. Suppose -4*n - w = -103. Suppose -h + 2*v + n = v, 2*h - 58 = 5*v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -47. Let w(x) = -x**3 - 9*x**2 - 3*x + 1. What is the least common multiple of 8 and w(a)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/739 - -7875\/93853. Let v = r + 7361\/1524. Calculate the common denominator of v and -57\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607343104.\nAnswer: 2, 1186217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73 and 234.\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1974446*q**3 - 395530*q**2 + q wrt q.\nAnswer: 11846676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by 720037.\nAnswer: 194\/720037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and -1.1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558 + 2363 = 11*r - 144*r for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-32)*(-46)\/(-23).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*f - 15 = 0, -b = -3*f - f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 72839068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -s - 4, -q = -0*s + s + 4. Suppose q = 5*b - 3*b - 2*k - 100, 5*b + 4*k - 241 = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(8\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3046*p - 719*p**4 + 3046*p)*(1 - 2 + 6).\nAnswer: -3595*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 948*l - 2*l**4 + 474*l - 2*l**2 + 476*l - 5 in the form w*l**3 + s + z*l**4 + y*l + g*l**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*1 - 41274\/(-126). Let h = p - 322. What is the closest to h in 0.3, -3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9877*j**2*m**2*t**2 - 3*j**2*m**2 + 2*j**2 - 2*j*m + 1944*m**2 - 2*t**2 wrt j?\nAnswer: -19754*m**2*t**2 - 6*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.475 (b) 2 (c) 46\/47 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 68, 1, 0 in increasing order.\nAnswer: -4, 0, 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2527 divided by -767499\nAnswer: 2527\/767499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:10 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8499549.\nAnswer: 3, 31, 91393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 212?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -70*3531.93\nAnswer: -247235.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12 - 0. Suppose 0 = 5*t + 12 + x, 2*n + 2*t + 12 = 0. Let y = n - -7. Solve -y*l + m - 13 = -0*m, 0 = 4*l + 3*m + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2011 - -15?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1449389t?\nAnswer: 144938900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008429 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0193*-5\nAnswer: -0.0965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 - 22 = 0. Suppose 0 = -2*w + 4*f + 252, w - 144 + 16 = f. What is the remainder when w is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/480 + t**5\/120 - 2*t**2 - 13*t. Solve i(x) = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 9 + 19 = 0. Suppose 376 = 3*y + h*l, -y + 3*l = y - 229. What is the remainder when y is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1636299, -1636349, -1636425, -1636521, -1636631, -1636749, -1636869?\n\"Answer: k**3 - 19*k**2 - 1636281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1087, -2160, -3233, -4306, -5379?\n\"Answer: -1073*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d + 3*g, 4*g - 11 = -d + 8. Solve d*a = 22*h - 20*h - 7, -2*h + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2960 + 2980. Let d(l) = -l. Let o(v) = -6*v. Calculate x*d(j) - 4*o(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.101, 5, -556.7, 1\/7, 0.12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6 + 48\/9. Suppose -d*j + 282 = 3*l, j - 2*l - 3*l - 59 = 0. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/1054 - (-387)\/(-357).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6031711*k**3 + 10*k**4 + 0*k**2 - 6031712*k**3 + k**2 - 8*k + 1 to h*k**4 + j*k**2 + g + v*k**3 + z*k and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2616 (base 15) to base 2\nAnswer: 1111110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 913\/300 + 53\/75. Find y such that 75\/8 + 3\/8*y**2 + k*y = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 69.0291 (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1465 and 25.\nAnswer: 7325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39727, 39944, 40163, 40384, 40607, 40832, 41059?\nAnswer: 41288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2813, 16, -2 in ascending order.\nAnswer: -2, 5, 16, 2813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/275 and (-26)\/2 - 636093\/(-49005)?\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12*(-156)\/(-4). Suppose f = -3*w + 13, 0 = -0*w + 3*w. Suppose 6*x**4 + f - n + 2*x**3 = 0. What is x?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8118, -94, -25?\nAnswer: -8118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + -0.3. Which is bigger: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - s - 1. Let i be g(-1). Suppose -i*n - 2 = 2. Which is greater: -2\/9 or n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + q - 3)*(-q**3 - 128*q - 5*q**2 + 71*q + 60*q + 2) in the form d*q**4 + a*q + r + g*q**3 + n*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 9*v**4\/4 - 20*v**3\/3 - 56. Find the third derivative of l(d) wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47100326*q + 43741068 wrt q?\nAnswer: -47100326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-35)\/15))\/(-2*(-225)\/(-100))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2291 and -5.\nAnswer: 1.1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h + 199*h + 77 + 544 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*b = 5, -378 = 7*o - 3*b - 375. Is o equal to -3687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 11) to base 13\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0 + 0*t - 1\/8*t**4 + 2*t**2 + 0*t**3 - 1\/30*t**6 + 0*t**5. Find the second derivative of j(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 4. Determine j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2475546*d**5 + 8*d**3 - 26*d + 128094 wrt d?\nAnswer: 49510920*d**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 411295 divided by 5?\nAnswer: 82259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i + 14. Let m be n(0). Suppose -5*q - m = 2*x - 0*q, 0 = q. Suppose -15*a + 360 = -75*a. Is a smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863997 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252 + -2556?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6160)\/(-30))\/22*29\/((-1218)\/36).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g. Let p = 0.006 - 0.506. Which is the second biggest value? (a) p (b) g (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*s - 315*s = 307*s + 310*s - 972 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0*c - c**2 - 5 + c + 6. Let k(i) = 5*i**3 + 11052*i + i**3 - 2 - 22106*i + 11050*i + 3*i**2 - 7*i**3. Calculate 4*f(g) + 2*k(g).\nAnswer: -2*g**3 + 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10771*x**4 + 1602 + 90 + 10768*x**4 - x in the form r + w*x**3 + l*x**4 + f*x + z*x**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16761697.\nAnswer: 97, 172801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-481)\/(-4) + (-2)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525944968 to the power of 1\/2, to the nearest integer?\nAnswer: 74337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733*h + 3*h**2 + 3*h**2 + 4*h**2 - 6*h**2 + 1.\nAnswer: 4*h**2 + 1733*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 5, i: 1, a: 1, y: 1, p: 5}. Give prob of picking 1 a and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.3. Let u be 4\/(-16)*(-3 + 6). Which is the nearest to 1\/2? (a) u (b) -6\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 53*w**2 + 239*w - 643. What is i(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 4*u**2 + 5*u - 3. Let a = -1901 - -1905. Give m(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**2 + 705*h + 2900 = 0.\nAnswer: -4, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21116 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5270 divided by -4997?\nAnswer: 5270\/4997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (2 + (2 + sqrt(17))**2))*-6.\nAnswer: 18*sqrt(17) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -204*i - 16. Let m be v(-2). Suppose 0*h - 4*h = -m. Is 49 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 41998*p**2 - 3*p - 7. Let q(a) = -a**2 - a - 1. Let l(m) = -2*q(m) + t(m). Let v be l(-5). Round v to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2 + 3.7. Let i = -5.015 - -0.015. Sort 4\/7, u, i.\nAnswer: i, u, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -42. Let v be (x + 20\/(-12))*(0 + -3). Suppose -v*w - 300 = -2*m, 0*m + 4*w = 2*m - 302. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:54 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/11 (b) -105\/2 (c) -2 (d) 3 (e) 354 (f) -0.1 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-4*v - 2*v + 5*v) + (5 + 7 - 7)*(8*v - v - v) - 3*v - 6*v + 4*v as w + j*v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066655 (base 7) in base 12?\nAnswer: 6597b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 4*c + c - c + 0*c + 8*c + (-2 + 2 + 2*c)*(1 + 3 - 2) - 5 - c + 5 + 2*c - c - 2*c + 15 - c - 15)*(-18 - 3 - 2)*(0*c - c + 2*c).\nAnswer: -230*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 466 + 1212 + 1270 = 0 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -19 (c) -14\/3 (d) 3\/4 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 0 = -8*q + 4*j - 8, 0 = -2*j. Suppose 0*k + 0 - 2\/3*k**q + 1\/3*k**3 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120302224122 - 1?\nAnswer: 120302224121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/((-265)\/(-45) - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/21 + 17\/(-3). Let y be (-4 - k\/3)*-6. What is the tens digit of y\/(-10)*(-40)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786176413.\nAnswer: 7, 229, 1114271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666.7907 centimeters to millimeters.\nAnswer: 6667.907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 300084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054318 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = -81. Let s = z + 21. Let a = 12 + s. Calculate the highest common divisor of 24 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199738*n - 199619*n = 4165 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 7*o - 4. Let r(x) = 3*x**2 + 13*x - 8. Let l(a) = 7*b(a) - 4*r(a). Is l(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*i - 20, 4*i + 5 + 11 = -4*l. Put 2\/3, 2\/11, i, 0 in descending order.\nAnswer: 2\/3, 2\/11, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 26*c. Solve c = 3*p - 3*t - 3, -2*t + 15 = -3*p - 5*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -98, -197, -298, -401, -506?\n\"Answer: -t**2 - 96*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 21. Solve 0 = 3*x - 7*x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -213115\/4147 or -52?\nAnswer: -213115\/4147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - 6*l)*(-l - l - 2 + l)*(5*l - 2*l**2 - 5*l).\nAnswer: -6*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -3*l. Suppose 3*r = 20 + l. Suppose -38 + 318 = r*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1179549 by 4.\nAnswer: 1179549\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/9*(-50)\/(-8)*-420. Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191.9449596 + 191.94. What is b rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-9)*(-10)\/(-35)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 23*s + 54. Let r be q(-20). Let h be 6\/(-4)*16\/r. Solve 0 = 2*p - 6*p + 4*b - h, 3 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22633 is divided by 1343?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*n = 147*n - 1975. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077799278 rounded to five decimal places?\nAnswer: 0.00778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -193 + -1518?\nAnswer: -16ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4807 - 4587. What is the greatest common factor of l and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 986 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*z + 3451*z**3 + 212*z + 99*z + 9*z - 3456*z**3 to v + a*z + g*z**3 + w*z**2 and give a.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -481 + 4530. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5.5. Put 0.3, o, 2 in ascending order.\nAnswer: o, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 92. Let q = f + 13. Which is the third smallest value? (a) -2\/7 (b) 0.5 (c) q (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2863299746 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 71 = 26. What is the remainder when 32 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36726883 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1650837732 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(9)*-2))\/((2*sqrt(9) + sqrt(9))*-2 + sqrt(9)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b706a (base 12) in base 15?\nAnswer: 4b2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 13298?\nAnswer: -66490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + v = -2, -5*v - 338 = -313 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 7*i**2 - 4*i + 19. Determine n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 15 = -54 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.861423619 + 0.177.\nAnswer: 49.038423619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21368*c**3 - c**2 + 2*c - 310742 wrt c?\nAnswer: -64104*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -20*s**5 + 12472*s**4 + 42732*s**3 - 59984*s**2 - 130352*s - 40128 = 0?\nAnswer: -4, -1, -2\/5, 2, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47444*w**3 + 549*w + 20.\nAnswer: 284664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 87937472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 + 8*h)*(4921*h**2 - 1443*h**2 + 1519*h**2) to v*h**3 + j*h + f + c*h**2 and give v.\nAnswer: 39976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/5 + (-8)\/(-20). Let y be 2080\/60*1\/c. Let q = y + 46\/9. Put q, -4, 3 in decreasing order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:34 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 8:22 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**(-2\/5)\/d))*d)\/d)\/(d\/d**5) assuming d is positive.\nAnswer: d**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.072.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4841780 divided by -484178.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**20*v**(1\/8)*v assuming v is positive.\nAnswer: v**(169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -29 (c) -39 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2 - u - 2. Calculate j(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 + 149. Let r = 6 - 0. Let y(v) = v**2. Let f be y(2). Solve c = 3*i + 10, f*i + r = -l*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 18*d**2 - 178*d - 6. Let n(s) = -2*s**3 - 18*s**2 + 177*s + 9. Let p(t) = -6*k(t) - 4*n(t). Determine l so that p(l) = 0.\nAnswer: -15, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.084 - 47. Let a = -197 - -196.516. Let s = k + a. Sort 6, -0.5, s in descending order.\nAnswer: 6, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 16 = 3 - 3, -4*w + w + 353 + 433 = 26*m + 2*w for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/70 + (-446425)\/24500 + 13?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 41*i + 40. Let q be f(-49). Let m = 1009 - q. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 179?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -482 (base 15) to base 10.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*y**3 - 500*y**3 - 479*y**3 + 636*y**3.\nAnswer: -1632*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 6 - p**2 + 0*p**2 - 2. What is the units digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*u = 4*o - 1342, -3*o = 4*u - 818. Suppose 15*y + o = 20*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*z - 44367 = 72*z. Let f = -1073 + z. List the prime factors of f.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 13*g**2 - 26*g - 30. What is d(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let p(v) = v**2 + 843. Determine p(m(b)).\nAnswer: b**2 + 843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 3*y)*((-18*y + 0*y - 9*y)*(2*y - 4 + 4) + y**2 + 0 + 0).\nAnswer: 106*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188, -207, -226?\n\"Answer: -19*y - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 756?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 11. Let m = z - -20. Does 11 divide (-2)\/m*-3*81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-168) + (-114)\/(-133))*52\/4.\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9555596977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0116533 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 11*t + 3. Let z be s(11). What is the greatest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j - 15 = -4*q, 3*q + 3 = -j. Suppose 3*r - 6 - 3 = q. Let r*g**3 + 2*g**3 + 0*g**3 - 7*g + 5*g**2 - 3*g = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 16 = 2*q, 0 = a + a + 3*q - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 3. Let c(i) = -6 - 23*i**2 + 10*i**2 + 5*i + 1 + 12*i**2. Determine -3*c(g) - 5*j(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -12. What is the third smallest value in 0, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 - 19*c - 111. What is the units digit of z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 141 = -55. Suppose s = v - 19, 4*v - 3*s + u = 6*v. Let b be (-3)\/9 - v\/(-6). Solve 0 = -3*j + b + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 1029 + 0*p + 1029 + 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 2\/17 (b) -1\/4 (c) -3\/5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15196?\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 9. Let i(s) = 3*s**2 - 2*s - 18. Let t(l) = -i(l) + 2*k(l). Let a(v) = -v + 1756. Give t(a(x)).\nAnswer: -x**2 + 3512*x - 3083536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 4*d + 4*d + (4*d - 9*d - 2*d)*(-2 - 3*d + 2) + 8*d**2 + 10*d**2 - 7*d**2 in the form n + c*d**2 + i*d and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 - -382. Suppose -2*u + 68 = -u. Suppose 4*q + 12 = u. Calculate the remainder when l is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*m + 110 = -6*m, 5*k - 4*m = 115. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713 + 291 = 4*j + 163*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 4:04 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 7425495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + q + 40. Let n be w(0). Let m be (n\/12)\/(3\/54). What is the greatest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/4716*(-24)\/42?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j + 1. Let y = 1223 - 1215. Let z(u) be the first derivative of -1\/2*u**2 + 0*u - y. Determine -2*v(s) + 10*z(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103385 and 182091?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x - 9. Let s(r) = r. Let f(g) = -l(g) + 4*s(g). Calculate the remainder when 74 is divided by f(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 190*z**2 - 17668*z - 250. Calculate p(93).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 5 = -2*t + 32*r, 2*r + 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 1, 3, 4\/5, 8 in descending order.\nAnswer: 105, 8, 3, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 7*b**2 - 16*b + 15. Let s be t(-9). What is the hundreds digit of ((-5788)\/(-6))\/2 - 2\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -2294 + 460. Let r = h + 132. Sort 1\/6, 7, r.\nAnswer: 1\/6, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/9 - 2396*v**3\/9 + 26872*v**2\/3 - 86020*v + 184650 = 0.\nAnswer: -1231, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 109, 41, -37?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3621.6, -3\/5, 1\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11475 divided by 17.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 + 11*l**2\/2 + 13*l - 3. Let r be s(-10). Let m = -28 - -33. Solve -3*u - m*k = -1, -u = 4*k - k - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17198*i**2 + 6278*i**3 + 17198*i**2.\nAnswer: 6278*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4099*i + 1413*i - 6549 = -1370*i - 1375*i for i.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let z(y) be the second derivative of 2*y + 0 - 2\/3*y**3 + 1\/2*y**2. Calculate z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdb when three letters picked without replacement from ddzddzzbzzbzbdd.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -97*j - 1. Let g(f) = 193*f + 3. Determine 2*g(i) + 5*q(i).\nAnswer: -99*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -536 - -545. What is the smallest common multiple of s and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1294 divide 179599861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -13341?\nAnswer: 13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 156 - 30. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362505 to the power of 1\/2, to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(33)\/sqrt(3) - (sqrt(132)\/sqrt(3))**2.\nAnswer: -43 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:01 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-721 - 460 + 1664 - 811)*(-47 + 47 - 4*j**2)*(3 + j - 3) to u*j + x + d*j**3 + i*j**2 and give d.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4386 - 1398 - 1601)*(-4*f**2 + f**2 + 5*f**2).\nAnswer: 2774*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 - 5*u - 8. Let m be a(6). Let k be ((-36)\/10)\/(m\/10). Does 9 divide 12\/k*(37 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5 (c) 2.1 (d) -3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siesiessl. Give prob of picking 1 e and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v**3 + 0*v + 1\/15*v**5 + 0*v**4 + 0 + 2*v**2. Let p(f) = 19 - 19 + 0 - 4*f. What is y(p(l))?\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-6)))\/l*l*l\/(l*l**(6\/11))*l*l*l\/l**1*(l*l\/(l*l**8)*l)\/l assuming l is positive.\nAnswer: l**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Let p be (-45)\/35 - s - -3. Let b = 7.37 + -0.37. Is p at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 26*h**2\/5 - 37548*h + 590810 = 0.\nAnswer: 205\/13, 7205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.259 plus -539561064?\nAnswer: -539561064.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (23 + -21 + (-5 - 2) - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 125860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447038 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 l be (15\/(-10))\/((-6)\/20). Suppose -4*j - 736 = -4*m, 7*j + 2*m = l*j - 368. Let i be 4 - 12\/j*2*-29. Are i and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214 - 14?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*j - 8*j - 5*j)*(0 - 2 + 0)*(-j + 5*j - j).\nAnswer: 192*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -337.6611 to 1 decimal place.\nAnswer: -337.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-3 - (0 + -15)). Let a be (-2)\/s*3*554. Suppose -4*i + a + 95 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 2. Let m be q(2). Suppose -r + 9 = m*r. Suppose 7*f - r*o - 30 = 4*f, -3*f - 3*o + 30 = 0. What is the highest common factor of 50 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 5*s + 86, 6*s = -17005 + 17029 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.2, -5, 19, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41\/6 - 307\/30. Let w = 16\/5 + f. Let o = -0.1 + -0.9. What is the nearest to o in 2, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320056?\nAnswer: 2, 157, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*j + 2 + 26*j as a + b*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/16477? (a) -0.3 (b) -5 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/(-92)*(-57)\/171.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235.2 * -484.2.\nAnswer: -113883.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f - 77972 = -74647 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2759, 10288, 22843, 40430, 63055, 90724?\n\"Answer: d**3 + 2507*d**2 + d + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217108.4 millilitres in litres?\nAnswer: 217.1084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/7 - 9*v**2 + 110*v\/7 + 600.\nAnswer: (v - 60)*(v - 10)*(v + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/4)\/(g*((g**(-2\/11)\/g)\/g)\/g)*(g*g**4*g)**45 assuming g is positive.\nAnswer: g**(12031\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.1 (c) -0.2 (d) -4 (e) 14\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) 0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 29*g - 31*g + 84, 2*u = -g + 40. Let f be -1*2*(-5)\/(-2). Let m be (-332)\/f - (-2)\/(-5). What is the highest common factor of m and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 42. Let w be 2 - l\/(3 - 4). Solve -5*b = -w*p, 4*b + 7*p = 4*p - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((((t*t\/t**2)\/t)\/t)\/t)\/t)**(2\/49) assuming t is positive.\nAnswer: t**(-6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1764*m - 215126. What is i(-122)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -410 + 458 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6062*h**3 + 9711 wrt h.\nAnswer: 18186*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1641, 2207, 2773, 3339, 3905, 4471?\n\"Answer: 566*b + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y - 5*z + 15, 9 = 3*z. Let h be (y\/6)\/(1 + (-5)\/15). Is -0.286 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 0.2 (c) 7\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 2, -0.1 in increasing order.\nAnswer: -64, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2820271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*w + 3, -204*s - 12 = -209*s - 2*w + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + u + u = 44, -5*i + 4*u = -44. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638883709 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or 186\/13?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l - 5*l + 5*l in the form w + f*l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3233, -2936, -2133, -572, 1999, 5832, 11179?\nAnswer: 18292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*o**3 + 9*c**2*o + 214*c**2 + 27*c*o**2 - 59*o**3 + o**2 wrt c.\nAnswer: -6*o**3 + 18*o + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0286 + -3.2634. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312.45 minus -1?\nAnswer: 2313.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5458 - 5260 = 19*x + 3*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.499 * 0.05.\nAnswer: -0.02495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 16.5, -1, 0.4, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5175 times 1600\nAnswer: 8280000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 14 = 3*l, 19 = 5*o + 2*l + 35 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 9) in base 12?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3159 = 3*l - 3*z, 3*l + 4*z - 1274 = 1906. Let c be 3\/3*180*l\/18. Round c to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)*d**(-5))**36)**(1\/14) assuming d is positive.\nAnswer: d**(-486\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*n - 27 - 9 = 0, 2*p - 4*n = -102. Let f = p + 51. What is the remainder when 9 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 360.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 113. Let c = 1 + -10. What are the prime factors of 2*((-891)\/l)\/c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -514, -1001, -1488, -1975?\n\"Answer: -487*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -90. Suppose -5*y = d + 6, 4*d - 3*y - 89 = j. What is the second derivative of d*o**2 - 49*o**2 + 24*o**2 + 43*o wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252343 - -3?\nAnswer: 1252350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -26467?\nAnswer: -211736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4 - 7*h - 2. Find the first derivative of c(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 2*d + 2. Suppose 2*y + 1 = -3. Is 3 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 238 = -23*j. Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*r - 158045 = 106261. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -68*k. Let i = -18 + 260. Let h(a) = -i*a - 245*a + 489*a. Give h(p(d)).\nAnswer: -136*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402008 is divided by 23634?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (5*3*(-1*sqrt(243)*6 - (sqrt(243) - (-5 + sqrt(243) + 2 + sqrt(243) + sqrt(243)))))**2).\nAnswer: -1753658 - 97200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z + 29. Let i(c) = 13*c + 43. Let j(f) = 7*b(f) - 5*i(f). Let u be j(-8). Suppose -2*m + 28 - u = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 - 3*t - 3. Let h(z) = z**2 - z + 1. Suppose -1 = 46*y - 47*y. Let q(i) = y*w(i) + 3*h(i). Let f(a) = -a**2 - 5*a. Determine 6*f(m) - 5*q(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-12 - 335\/(-28)). What is the highest common divisor of 6902 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*i**3 - 2 + (0*i + 0*i - i)*(-2*i**2 + i**2 + 2*i**2) - 3*i**3 + 1 - 1 - 23*i**3 + 24*i**2 - 24*i**2.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 226.825 years?\nAnswer: 2721.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Let j = p + -3. Find the third derivative of 2*x**2 - x**3 + j + 0 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181810?\nAnswer: 2, 5, 7, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*n**2*u*y - 11*f*n**2*y - 2*f*n*u*y**2 - 7*f*n*u*y - 5*f*u*y + 11*f*y**2 + 117*n**2*u*y**2 + 3*n*y + 3*u*y + 1 wrt n?\nAnswer: -2*f*u*y - 22*f*y + 234*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 150 = -40*k. Calculate the remainder when 83 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*c - 6 + 17 + 10, 0 = 12*z - 36 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24*2*((-12)\/9)\/((-224)\/(-126))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -152313 (base 6) to base 2\nAnswer: -11100111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2641614912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -41*v**2 + 77*v**5 + 11 + 72*v**5 - 58*v**5. Let f(p) = 18*p**5 - 8*p**2 + 2. Let u(c) = 11*f(c) - 2*w(c). Find the third derivative of u(k) wrt k.\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.123 in 5, -0.5, -7, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:39 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 77*s**2 + 451*s - 460. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 - 11086.025?\nAnswer: -11202.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3251 - -3251.4. Let w(l) = l**3 - 12*l**2 - 2*l - 15. Let g be w(12). What is the third biggest value in a, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7214.035m?\nAnswer: 7.214035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234778530?\nAnswer: 2, 3, 5, 7, 1117993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from eseeeseseeeeeeseeee.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2696*n**2 - 562*n**2 - 4158*n + 2075*n + 2083*n + 1809*n**5 wrt n?\nAnswer: 108540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -6*s + 549. Solve -38*f + 41*f = -s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - 11. Let x = -76 - -22. Let k = x - d. Solve -a - 4*a - s = -8, -4*a + k = s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 333246.\nAnswer: -1\/166623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/28*28\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31561410.\nAnswer: 2, 3, 5, 31, 33937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 144\/(-54) - (-4)\/6 - -8. Solve -3 + b = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 24. Let r(q) be the third derivative of q**6\/120 - q**5\/20 - q**4\/12 + q**3\/6 + q**2. Calculate r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 33153?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(20)\/(sqrt(20)\/sqrt(2)) + sqrt(450))**2 - (sqrt(192)\/sqrt(8))\/(sqrt(36)\/(sqrt(192) - sqrt(12))).\nAnswer: -6*sqrt(2) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 2}. Give prob of sequence eyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 919445153 to the power of 1\/3, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + 19. Let l = 12 - p. Let j = l - -20.0055. What is j rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 + h**2 + h. Let a(x) = 20*x - 101. Let p = 565 + -560. Let k be a(p). Give l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - w = -7*o - 4, 4*w = -2*o - 2. Is 4\/11 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(12)\/sqrt(3))*5 + sqrt(91)\/(sqrt(7) + sqrt(7) + sqrt(28)\/sqrt(16)))**2.\nAnswer: 9477\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284 - -1993\/7. Let h = -29\/21 + f. Let z = -0.11 - -0.16. Which is greater: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-4))\/(1 + -3))\/((-66)\/(-132)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zpzpipzppz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 10*g. Let m be t(-5). Solve 0*j + 4*j + 3*p + 32 = m, -26 = 2*j + 4*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*k + 3976 - 4088 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20855 = -1270*j - 1824*j + 38578 + 248361 for j.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.63 - -0.63. Let t be (-48)\/6 - -2 - (-7)\/(-2 + 3). Sort a, t, -2.\nAnswer: a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.5 (c) -4 (d) 0.4 (e) -0.1 (f) -0.0578\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*w**2 + 88*w**2 - 15*w**3)*(2 + 2 - 2).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(72\/8))\/(71\/2627)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/5 + 49*c**3\/5 + 669*c**2\/5 + 1679*c\/5 + 1058\/5 = 0. Calculate c.\nAnswer: -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001482627 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1106, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -2.1. Let n(y) = y + 7. Let a be n(-5). Let h be -3*a*(-1)\/(-4). What is the closest to d in 2\/15, -1, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1865867?\nAnswer: 631, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4176, -4169, -4158, -4143, -4124, -4101, -4074?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (8 + -11 + 2)) + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 19*k + 1339. What is the remainder when l(28) is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 31*c + 137. Give y(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u**2 + 4*u**2 - 4*u**2)*(-u + 2 - 2) + 2*u**3 + 0*u**3 + 0*u**3 + u**3 - 2*u**3 + 2*u**3)*(6*u + 0*u + 3*u).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let v(d) = -4*d**4 + 10*d**3 - 6*d**2 + d + 2. Suppose 3 + 0 = 3*i. Let f(c) = i*v(c) + 3*w(c). Find x such that f(x) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/83 (b) 6 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -19*i**2 + 623*i - 71. What is the remainder when l(32) is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.022565km to micrometers.\nAnswer: 22565000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2 + 5 = -3 + 5, 5*d + 15*j - 17*j - 253 = 0 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - p**3)*(-5*p**2 + 4*p**2 + 0*p**2) - 14*p**4 - 14*p + 7328*p**5 + 7316*p**5 - 14664*p**5.\nAnswer: -19*p**5 - 14*p**4 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 14\/18609417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 35 (b) 0 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 + -1?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22723 divided by 1.\nAnswer: -22723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -30. Suppose 4*z - 23 = y, 0*z - z - l = -4*y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvutrjtvup. What is prob of sequence ur?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let g = 102 + -99. Suppose 5*p - 4*p = 1, -2*t = -g*p + 11. What is h(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30792 = -r + 48208. Round r to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*d + 9 = 171*d. Let k be 9*(0 + 3\/d). Solve s = -4*o - 1, -2*s - 9 = k*o - 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = -i. Suppose 3*w + 0*c + c = 2, -2*w = -c - 3. Let j be (2 - 0)*w\/2. Sort -4, i, j.\nAnswer: -4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 214223*g + 4 - 214215*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1854 + -1851. Which is the nearest to y? (a) -2\/9 (b) -3\/2 (c) 5 (d) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/5394*62)\/(201*(-5)\/(-45))?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/60 and -43\/1180?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1723529 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32880 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: -450.0138 * 0.1\nAnswer: -45.00138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 7*b + 35*b**2.\nAnswer: 35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001170463 rounded to 7 dps?\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*r - 4*z, 8*z + 10*z + 38 = 9*r + 14*z for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 8. Let c be 30\/(-4) + (-2)\/(-4). Let g be h(c). Let p(t) = -7*t**3 - t**2 + 2*t - 1. Calculate p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546278181 to the nearest integer?\nAnswer: 23373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 12. Let u be c(-13). Is u greater than -5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70024*b + 15919*b + 55434*b.\nAnswer: 141377*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcctcnclsc. What is prob of picking 1 c and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a + 700. Let u = a + 702\/5. Let f = 7.5 - -0.5. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 7. Let z be a(5). Let o(b) be the second derivative of b**4\/12 + b**3\/3 - b**2\/2 + 5*b. Give o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1596, -0.2, -1, -0.21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 53*i - 4978. Let r be k(94). Solve -r*x = 5*v + 8, 9 = 3*x - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2\/111, -6.3?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 6)*(49*l**4 - 13*l**4 + 10*l**4).\nAnswer: 184*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o**4\/3 - 15368*o**3 - 37525367*o**2\/3 - 3572590*o = 0 for o.\nAnswer: -5635, -951, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 1. Let k(g) = 9*g**3 + 7*g**2 - 3*g + 11. Let r(t) = -2*k(t) + 22*z(t). Determine y, given that r(y) = 0.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58439, 58452, 58475, 58508?\nAnswer: 58551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/35 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -5b47771?\nAnswer: -5b47769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/67921 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65368.014 rounded to 0 decimal places?\nAnswer: 65368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 132*v**4 + 4245988*v**3 - 18787112*v**2 + 24192368*v - 7206304 = 0. What is v?\nAnswer: -32171, 14\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 4*p**2 - 5*p**2 - p - 3*p - 12*p**2 + 3*p + (0*p + 0*p - 6*p)*(-22*p - 24*p + 10*p) to the form q*p**2 + d + b*p and give q.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21) + 288\/84\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 24. Suppose -5*l - 15 = q, 3*q - 4*l - u = l. Suppose q*y + 2*y = 28. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 times -14?\nAnswer: 13776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -121252 divided by 8?\nAnswer: -30313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1123*q - 168. Let s be k(-2). Let n = s - -2418. Factor 69\/5*c**2 + 6\/5*c**3 - 432\/5 - 3\/5*c**n - 72\/5*c.\nAnswer: -3*(c - 4)**2*(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215533829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:39 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.271 - -1.121. Let v = -0.3913829 - -1.2413702. Let d = s - v. Round d to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 18. Let j(p) = -2*p - 8. Let q(d) = -9*j(d) + 4*t(d). Let r(l) = 135*l. What is r(q(a))?\nAnswer: -270*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1\/3, -2, 0.1, -2\/7, -389 in decreasing order.\nAnswer: 1\/3, 0.1, -2\/7, -2, -14, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-3*4 + 1*sqrt(171)*2 + sqrt(171))\/(2*sqrt(9)*5 + (sqrt(72) - 1*sqrt(72))\/sqrt(8)).\nAnswer: -9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 2. Let g(w) = -9*w - 3. Let q(s) = -3*a(s) - 2*g(s). Let u(d) = -5*d. What is q(u(b))?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 764.89573 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h + 327495 = 0. Let o = -186495 - h. What is o rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 1, a: 2, e: 1, u: 4}. What is prob of sequence ue?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v + 2*v = 920 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let f(o) = 123*o - 2. Give -f(a) + 6*k(a).\nAnswer: -129*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**3 + 7*y**2 - 12. Let v(u) = -6*u**2 - 14*u. Let d(x) = -2*q(x) - 3*v(x). What is the second derivative of d(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 169. Let u = -110 + p. Put u, -0.4, -3 in descending order.\nAnswer: -0.4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32569 (b) -2\/9 (c) 2\/7 (d) 1.8 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 507 - 507. Solve -2*m - 4*x = -12, -m + g = x - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 59 = -a. Suppose -r = -5*i - 74, -5*r = -2*r - 3*i - a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - (-23 - -11 - -19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4, -2, 3\/8, -3\/10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1615859*v**4 + v**3 - 24*v**2 + 163729 wrt v?\nAnswer: 38780616*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 5*m + 3 - m**2 + 3 - m**2. Let u be l(-4). Solve -2*k + 4 = u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*a**2 - 49355*a - 4700215 wrt a?\nAnswer: 12*a - 49355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(80))**2 + 2*sqrt(80) + 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88702 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, 9, 4, 219?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a factor of 4601769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(2\/3)*z))\/(z**(2\/15)\/z))\/(((z*z**1)\/z*z)\/(z**(-5)\/z)))**(-1\/26) assuming z is positive.\nAnswer: z**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9495 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 10, d: 2}. Give prob of sequence dld.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/4)\/((-320)\/80)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002141 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*j**2*l**2*q**3 + 2*j**2*q**2 - 2*l**2*q**3 - l**2 + 2*q**2 - 16*q wrt q.\nAnswer: -216*j**2*l**2 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 1\/6*f**3 + 0 - 1\/6*f**4 - 3*f + 0*f**2. Find the second derivative of a(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10114460 is divided by 1429.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -63.7. What is the nearest to 0.1 in -0.2, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -116. Suppose -5*x - 3*l + 3 = -0*l, 5*l + 11 = -3*x. Which is the second biggest value? (a) 1\/10 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 14 - ((1 - -20) + -3 - 29).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1309 and -115\/714?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 111, 146, 151, 114, 23, -134?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -10.648063\nAnswer: 1.0648063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 371217, 742433, 1113649, 1484865, 1856081, 2227297?\n\"Answer: 371216*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1534, 911, -128, -1583, -3454?\n\"Answer: -208*a**2 + a + 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 + 87*f + 7935. What is o(-32)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/3 + 7*y**2. Let t(l) = 2*l**2. Calculate r(t(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 2104404?\nAnswer: 2104414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 - n**2 - 8. Let i be v(-2). Suppose i = -99*u + 101*u. Solve 2*z - 1 = 5*h + 2, 2*h - u = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-3\/5)*l))\/l**30*l*l**(-12\/11)*l*((l**(-4)*l*l*l)\/l)\/l assuming l is positive.\nAnswer: l**(-1732\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041002 to seven decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53\/20 + 197\/180. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:06 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*12\/(-32)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o - 23. What is y(7)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*s - 88 = -130*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {a: 14, t: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 divided by 2208?\nAnswer: 331\/2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -14 - (8 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1585560 divided by -2.\nAnswer: -792780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/(-8)*1)\/(-4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498957376?\nAnswer: 2, 7, 41, 79, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 112*l - 111*l. Let j be (-2)\/3 + 60\/l. Solve -2*y + 20 = 5*k, 0*k + 3*k - j = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, m: 4, c: 6, x: 3}. What is prob of picking 2 c and 1 m?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5 + q + q**2 - 105*q**3 + 206*q**3 - 100*q**3 - 7*q - 1. What is x(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-196) + 3*440\/(-18144).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -17. Let b = v + 19. Let h = b - 2. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1 + (-2 - 4 + 5)*(-3*u + 2*u + 2*u))*(-5 + 5 - 10) - u + u + u - 4*u + 3*u - 2*u + (0*u - 2*u + 4*u)*(1 + 1 + 0).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586347619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10*-1.6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 12210?\nAnswer: 12123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eec when three letters picked without replacement from ece?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((33345\/(-182))\/(-57))\/((-55)\/(-44))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -60, -36, 6, 72?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5*c**8\/448 - c**7\/40 - 3*c**6\/160 + 7*c**5\/80 - c**4\/16 - 8*c**2. Solve j(t) = 0 for t.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -757 divided by -10746\nAnswer: 757\/10746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340854?\nAnswer: 2, 3, 11, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9650 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -18)\/(-4) + 20 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13914367933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5*w**2 - 10*q**4*w**3 - q**3 + q**2*w**2 + 57*w**3 wrt q.\nAnswer: 60*q**2*w**2 - 240*q*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207*f**4 - 2*f**3 - 813.\nAnswer: -828*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532648 is divided by 3556?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 29405249?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 0.84. Let a = -0.8 + f. Sort -2\/9, a, -1.\nAnswer: -1, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 3262995*o**3 + 532371501675*o**2 - 4791079216125*o = 0. Calculate o.\nAnswer: 0, 9, 326295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 784 = 84 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-8)*o**6*o*o**(-1\/2)*o*o*o*o*(o\/o**4)\/o*o*o*o)\/((o*o\/(o**(-2\/3)\/o)*o)**(-1\/8)*((o**(-2\/5)\/o)\/o)\/((o\/(o**6\/o))\/o)) assuming o is positive.\nAnswer: o**(989\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4\/7 (c) 10 (d) 1112\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-36)*(-36)\/(-10))\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i + 8. Let h(v) = v - 1. What is -12*h(l) + q(l)?\nAnswer: -4*l + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 592322729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9457 - 9385. Calculate the least common multiple of n and 1104.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019580938 rounded to six decimal places?\nAnswer: 0.000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 - -7) + 24\/22)\/(28\/(6608\/(-59))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzyjvzjvvyj. Give prob of picking 1 v, 2 y, and 1 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-2 + 0 - 1)*(6*r + 3*r - 4*r)*(1 + 1 - 6)*(0 + 1 + 0).\nAnswer: -60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*12\/(-126))\/(304\/57)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5467, 5389, 5263, 5089, 4867, 4597?\nAnswer: 4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053 = 26*k - 1365 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1, 5, 2 in increasing order.\nAnswer: -5, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 983882*f + 983880*f + 22 = 0, 5*f = 3*h + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*(sqrt(2916) - 1*sqrt(2916)*-1))\/((2*sqrt(7260))\/(sqrt(140)\/sqrt(7) - sqrt(5))))**2.\nAnswer: 108*sqrt(3)\/11 + 8869\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15318 divided by 333?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 + 1177*c**4 + 283272*c**3 + 7280752*c**2 + 6998656*c = 0. Calculate c.\nAnswer: -856, -292, -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-33 - -20 - 16) + (18 - 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.4. Let y = -0.1 + z. Let w = 3852 - 3850. What is the biggest value in -1, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423640829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -3)*(-2)\/4. Suppose -21*v + 24*v - 873 = d. Does 43 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5065 + 5070. Solve -u*r = -13*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 451*c**4 + 3*c - 2*c**3 + 0*c**2 - 2*c - 23 - 449*c**4 - 121 to s*c**2 + m + n*c + h*c**4 + j*c**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + s**2 + s - 3. Let u(t) = -t**2 + 544*t + 711. Let y(a) = o(a) + u(a). What is the first derivative of y(k) wrt k?\nAnswer: 6*k**2 + 545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + i = -29, -3*b - 2*i + 13 = -7*i. Suppose -13*t + b*t = -819. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wttwtt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861813 is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 72, 68, 64, 60?\n\"Answer: -4*i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdddcddddd. What is prob of picking 2 d?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1545 (base 8) to base 15.\nAnswer: 3ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15266663 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40146 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53708 divided by -26854.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-60))\/((-1)\/(-2)*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by ((-8)\/(24\/159) + 6)\/(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90999 is divided by 112.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 2*r. Let a(p) = -p**2 + p. Let h = -46 + 47. Let f(j) = h*b(j) + 2*a(j). Let c(n) = 14*n**2. Give f(c(k)).\nAnswer: -196*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 75*v + 173. Sort 7, v, 3, -2.\nAnswer: v, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(68)*-2 + sqrt(68) + sqrt(68))\/sqrt(2))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 6, -2*z + 14 = -5*i. Suppose -z*b + b + 27 = 0. Let m = 164 - 2. What is the greatest common divisor of b and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/5)\/z**3)\/((((z\/z**3)\/z)\/z*z)\/(z\/(z*z**4))) assuming z is positive.\nAnswer: z**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1730375*x**2 + 2258*x - 405 wrt x?\nAnswer: -3460750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:10 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-276)\/(-14) - 4\/(-14). Suppose 0 = -4*u + h - 4. Is u\/(-3)*3\/(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-242264)\/(-66))\/((-10)\/(-15)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -102*r + 9. Let s(m) = -103*m + 14. Determine 4*s(p) - 6*w(p).\nAnswer: 200*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 80 = -40 + 32. Suppose 7*b - 3*b = 8. Suppose 0 = -f + 6 - b. Calculate the greatest common factor of h and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 685\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scooooooo. What is prob of sequence os?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 4. Suppose -3*j = -8*j. Let o be (-1 - j)\/(1\/(-2)). Suppose -17 = -5*q - o*m, -q - 5*m = q - 11. What is h(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/5*10\/(-4). Suppose -68 = -p*u + 68. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 1828*i\/3 + 609.\nAnswer: (i + 1)*(i + 1827)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/34*8\/66.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3125889 kilograms to nanograms.\nAnswer: 312588900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*g + 204 = 2*r, 2*r - g - 123 = 0. Differentiate -6 - 76*m + r*m + 5 + 6 with respect to m.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38e9c - 4?\nAnswer: -38ea0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**27*l**6*(l**8)**0)**(-27) assuming l is positive.\nAnswer: l**(-891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.3277?\nAnswer: 0.09831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.576132 days?\nAnswer: 568177804800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(7\/112*20 - (-3)\/4). Sort v, 381, 0, -5, 2 in increasing order.\nAnswer: -5, v, 0, 2, 381","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 870, 1747, 2626, 3507, 4390, 5275?\n\"Answer: v**2 + 874*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 = 2*l, -5*z + 0*l + 28 = -3*l. Let k = -3 + 12. Suppose 0 = c - k - 3. Calculate the smallest common multiple of z and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -168*l - 4. Let z be i(-1). Suppose 3*c = -f - z, 5*c - f = 3*f - 296. Let o be 4 + 0 - c\/(-12). What is the second smallest value in o, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + 2\/(-6). Let l = w + 1. Let k = -3 - -2. Sort l, 5, k.\nAnswer: k, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9077 + 0.8877.\nAnswer: -5.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 14. Let t be r(1). Suppose -18*l + t = -15*l. What is the third biggest value in 11, l, 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 348615545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + 18 - (12 + 15 + (-26 - 11))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = p - 13, 0 = p - 5*l + 2 + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftufuffftufufzuftfu. What is prob of picking 2 u, 1 f, and 1 z?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 22*n + 102064 + 17691. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q**2 + 2\/3*q**3 - 8*q - 21. Factor l(u).\nAnswer: 2*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 0 (c) -17 (d) 5 (e) 0.01 (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15\/14 (b) 3 (c) -5\/3 (d) -318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -18. What is the lowest common multiple of f and 66\/24*2*2?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -3 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q + 44 = 0. Let d = q - -48. Suppose -4 = 2*t - 4*m, -d*t + 16 = 7*m - 3*m. Solve -4*i = -t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17346114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -18) + -15 + 12 + (1 - -5) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - q**2 - 8*q - 5. Let b be (2 + 5 - 3) + 0. Suppose -b*n + 5*y + 6 = 0, -4*n + 4*y - 3 = -11. Does 15 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-58)\/6. Let h = r - -44. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72286823 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9799745 litres to millilitres.\nAnswer: 979.9745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205450, -410872, -616272, -821650?\nAnswer: -1027006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 22, -22, -78 in descending order.\nAnswer: 22, -3, -5, -22, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzd when three letters picked without replacement from ttdzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2736))*5 - sqrt(2736) - sqrt(2736) - sqrt(2736))**2 + 3*sqrt(1900)*-2.\nAnswer: 420*sqrt(19) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 197*j**2 - 65*j + 71. Let m be w(-66). Suppose 0 = -3*t + 3, 7*d - 17 = 5*d + t. What is the closest to d in m, -0.1, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022061.78s in days?\nAnswer: 11.82941875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2120\/1224467 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 240 = 9*f. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-165)\/6 - 2\/4. Let y be (-29)\/n - 4\/14. Let z be ((-369)\/615)\/(6\/(-310)). What is the biggest value in z, -2, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 15*a + 78. Let j = -5 - a. Solve 0 = -j*x - 16 + 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*n + 4*p - 26, -3*n + 4*p + 98 = 0. Suppose -13 + n = 3*b. What is the remainder when 12 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8768161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -2 + 5 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1910568195 to the nearest integer?\nAnswer: 43710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -490 - -490. Let z be a + -6 + (-80)\/(-8). Solve 4*i - 3*n + 2*n + 5 = 0, 3*i - z*n = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -g + 1. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f. Let x(b) = 38885783*b. Give c(x(h)).\nAnswer: 155543132*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 6 (b) -2 (c) -1\/7 (d) -302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:49 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (-1 - -1)) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1 - (5198 - 5183)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1091*l. Let a(q) be the first derivative of -2*q**3\/3 + 936. What is a(i(t))?\nAnswer: -2380562*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, -80, 0.577, 0.11?\nAnswer: 0.577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -168. Suppose z*w = 20*w - 90. Which is smaller: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + (-6 - 9438\/42). Which is bigger: -230 or j?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024 - 24?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvv when three letters picked without replacement from cvccv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593413.\nAnswer: 59, 113, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 26. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 531 = 4*j - 537, -n + 6 = 2*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 512\/(-52) + 10 + (-2095)\/13. Let z = c - -251. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, 14, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -379*i + 377*i + 8. Calculate the highest common factor of i and 234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00777050451 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011110 (base 2) in base 16?\nAnswer: 25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 784855*f**2 + 165*f + 230625553 with respect to f.\nAnswer: 1569710*f + 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w**3 + 15*w**3 + 69*w**2 - w - 6 - 55*w**2 + 10*w**3. Let l(o) = -3*o + 4. Let u be l(6). Determine f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271522 and 27920?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 4*g. Let q(p) = -p. Determine d(y) - 4*q(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*i - 150724*c**3 + 2*c**2 - 20524*c*i - i + 1 wrt c?\nAnswer: 6*i - 904344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 112, 347, 710, 1219, 1892, 2747, 3802?\nAnswer: 5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62611 = -7*l + 40744. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccpcpcdppdc. Give prob of sequence pp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 10. Let r be (-4)\/14 - (-130)\/14. Calculate p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/17 or -24?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4334039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -679261953624\nAnswer: 679261953629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(192) + (sqrt(192) - (sqrt(192)*-1 + sqrt(192))) + sqrt(192)))\/sqrt(8))\/(-2*(sqrt(72) + 3*sqrt(72))).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 15. Let s = 61 - u. Suppose 5*a - s = -q, 4*a + 7*q = 8*q + 61. What is the smallest common multiple of a and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*((-106)\/(-1113))\/(3\/(-27)). Solve z*x = -52*x - 192 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 951443157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:49 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 2a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -177 + -87 + 189 + 1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 20*c - 12. What is the tens digit of f(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 + 10*s + 1. Let j be g(-4). Calculate the remainder when (j - -3) + 3*(0 - -1) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q. Let s(p) = 3*p. Let b(c) = -21*s(c) + 4*x(c). Let k(v) = 3*v**2. Calculate k(b(m)).\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 1577\nAnswer: -11039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199813851 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t - 16. Let g(l) = 8*l - 16. What is 5*g(k) - 6*i(k)?\nAnswer: -2*k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**2 - 5*p + 5*p - 9 - 7*p. Let i(c) = -4*c**2 + 4*c + 5. Determine -11*i(x) - 6*t(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 11*t**2 - 31*t - 11. What is the remainder when 160 is divided by r(-13)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p - 14069 + 14061 + 3*p - 2*p - 2*p + 5*p + 4 - p - 4 + (-2 + 3 + 1)*(-p + 0 + 0) + 4*p - 3*p - 2*p - 3*p + 2*p - p.\nAnswer: -9*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -38*n. Let i(w) = 2*w. Calculate i(d(p)).\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -108. What is the smallest common multiple of u and (-23)\/(-4) + (-2)\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112726127*a**2 + 472917306?\nAnswer: -225452254*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 less than 693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 - -83. Suppose 3*k + 174 = 6*k. Let h = n + k. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8761 + -2865. Suppose 1954 + i = -5*n. Round n to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 2, j: 1, n: 1}. Give prob of picking 1 j and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.02461 + -887.68369. Let u = -911.9 - v. Let z = -16.2 - u. Round z to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003121 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 - (-28)\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(39\/(-30) - (-3)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029397 rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3796431 * -0.3.\nAnswer: 1138929.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*i**2 - 2*i + 5 wrt i.\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 4. Let v be l(0). Suppose 3*d + 10 = -4*o, 2*d = -5*o + o - 12. Suppose -g = d*n - 21, v*g - 4*n - 24 = -0*n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 22 - 18 = 0. Is p*(-9956)\/3 - (-3)\/(-9) 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 455432258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(560\/5)*-2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nndndddhnnnnnnu. What is prob of picking 1 h and 1 d?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -101.908. Let h = 2.092 + r. Put h, 3\/8, -2\/7, 0.2 in descending order.\nAnswer: h, 3\/8, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 31. Let z be r(-9). Let b(i) be the first derivative of 2 - i**2 + 0*i**3 + 3\/4*i**z + 0*i. What is the second derivative of b(g) wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23467822 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, d: 4}. Give prob of sequence tt.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -2. Let g = j + 8. Suppose -5*q - g = 5*u - 0*q, 4*q = 5*u - 31. Solve -u*f - f = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 - 0.14. Sort -2, i, -1\/4, 0.1 in descending order.\nAnswer: i, 0.1, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1854602, -1854622, -1854654, -1854698, -1854754, -1854822, -1854902?\n\"Answer: -6*r**2 - 2*r - 1854594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*f**6 - 6*f**5 - f**4 - 25*f**2 + 16.\nAnswer: 5160*f**3 - 360*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**7\/350 - o**6\/75 - o**5\/50 + o**3\/30 + 3*o**2\/2 - 4. Let v(k) be the second derivative of a(k). Factor v(q).\nAnswer: -(q + 1)**3*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10615\/8492)\/(15\/(-12)*24\/4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24 = 4*i - x, -2*i = x - 7. Suppose -k + 3 + 0 = 0, -3*k = 2*z - 9. Solve -2*c - 7 - i = z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {m: 7, x: 2, q: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 - 5*b - 3. Let q be z(7). Let t = q + -52. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 + -3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + d**2 + 2)*(d - 2*d + 4*d) + 6*d**3 + 16*d**3 + 8*d**3 + (-d**2 + d**2 + 8*d**2)*(0*d + 3*d - 5*d - 3) as w*d + y*d**2 + c*d**3 + k and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + 4*y - 4*y + (-3 + 4 - 2)*(y**2 - y**4 - y**2))*(-5*y - y + y).\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -70*u + 109. Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -679871*b**4*y + 21*b*y**2 - 13925*y**2 - 430*y wrt b.\nAnswer: -2719484*b**3*y + 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 11*v - 5. Let j be x(-6). Let f = 29 - j. Suppose -f*k = -6*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: Let c be 1 - ((-6)\/3 + 6). Let s(x) be the first derivative of -x**2\/2 - x - 7. Let b(u) = -5*u - 5. Calculate c*s(p) + b(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 5*x - 168 = 0. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -15*t**3 - 5*t**2 + 26*t - 14. Let h(w) = -17*w**3 - 5*w**2 + 28*w - 16. Let y(z) = -7*h(z) + 8*u(z). Determine y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 7*g + 3. Let c be p(5). Suppose -4*v - 17 = -3*a, 0 = 2*a - 6*a + v + 1. Let q be a\/(-2)*4\/12*-4. Sort 2, 1\/4, q, c in ascending order.\nAnswer: c, q, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -515, -516, -517?\n\"Answer: -t - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/7, 2\/83, -0.4?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -35, -2.\nAnswer: -35, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 746597 + 51909 = -6844845. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 125 + 115 = 0. Suppose -22*k + 436 = -g*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36866 or 36888?\nAnswer: 36888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((2 - -1) + 3 + 16 - 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5655 by 87.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.15 + -151.85. Let w = n + 158. Which is the biggest value? (a) w (b) 0.02 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-2 - (-2 - 1)). Suppose d = w + o, -o + 0 = 4. Suppose -2*m - w*r = r + 1, -5*m + 5*r = -15. Solve h + 0*h = m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14904\/139978 - (-1)\/((-68)\/8). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958 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: Expand (1 - 3 + 1)*(-26*b**2 - 57*b**2 - 3*b**2).\nAnswer: 86*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001963 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 + 7*i**4\/12 + 2*i**3\/3 + 7*i**2\/2 - i. What is the units digit of v(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 1:47 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i*p**3*t**3 + 2*i*p**3*t - 19*i*p**3 - 8*i*p*t**3 - i*p*t**2 wrt t.\nAnswer: -24*i*p**3 - 48*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 2*z - z + (7*z - 2*z - 3*z)*(-18 - 2 - 6) to c*z + b and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5985552um?\nAnswer: 598.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9670 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1667290.\nAnswer: 3\/1667290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 525928391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 - -3 - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -627*i + 11386. Is 9 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -2 (b) -6 (c) -3 (d) -4.7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -60*d + 244. What is o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*n = -5*i + 4 + 21, 5*n - 25 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28000 is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.91 - 12. Let z = -0.269 - 0.041. Let b = f + z. What is the biggest value in 0.4, -1, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -78, -121, -162, -195, -214?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 192.67. Let j = s + -0.33. Which is the second biggest value? (a) 1 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3136.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**10\/840 - p**6\/180 + 2*p**3 - 10. Let x(s) be the third derivative of o(s). What is the third derivative of x(q) wrt q?\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772578 is divided by 372?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k = -20. Let t be ((-10)\/k)\/((-1)\/(-10)). Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 6*n + 3. Let c be (-1978)\/387 + 1\/9. Calculate h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) -1\/10 (c) 0.4 (d) 0.0714544\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3, -45, -7\/4, 0, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1819 + -1790 + 1 + -48\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140201 (base 6) to base 15.\nAnswer: -3cdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 29*o + 2*o + o**3 - 17*o - o**4 to k*o**2 + z*o + h*o**3 + r + l*o**4 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799364 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - 2*o)*(-3 + 3 + 2)*(0 + 7*o**4 + 0).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3182 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-286)\/117*6\/(-22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -29. Let h be 1\/((r\/(-12))\/7). What is the second derivative of -16*q**h - 2*q + 6*q**4 + 2*q + 5*q wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -975?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 40*h + 195. Determine z(7).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -236*q**4\/3 - 248*q**3\/3 - 4*q**2 = 0.\nAnswer: -1, -3\/59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88ad1 (base 16) to base 11.\nAnswer: 352672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454\/15 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 134 times 5\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 23850860.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 15*j - 48. Let x be b(15). What is the remainder when 300 is divided by 12\/20 + (-5 - x\/20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463311 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46804 and 5897304.\nAnswer: 5897304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -120?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11554042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8346 or -8345?\nAnswer: -8346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11091839 + -5?\nAnswer: 11091834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.01, 3, -0.5, -572 in increasing order.\nAnswer: -572, -0.5, 0.01, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p**2 - 4490*p - 538. Determine x(-264).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 1. Let z be q(0). Let w = z - -1. Sort -2, -1, w in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/(-40))\/(-2))\/(4\/50)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 358981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 6 (b) -1 (c) 1\/5 (d) 1588 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/13255 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/9*r**3 + 0*r + 0 - 8\/9*r**4 - 8\/9*r**2.\nAnswer: -4*r**2*(r - 2)*(2*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*i**3*u - 11*i**2*u + 54*i*u + 6*i + 3*u wrt i.\nAnswer: -228*i*u - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 80?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -700*p + 200*p - 514*p + 70*p - 404*p in the form v*p + o and give v.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-33))\/((-3)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 35*u - 37. What is c(20)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 35*b**2 - 49*b - 25. What is the tens digit of z(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96745 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -253 - -256. Suppose k = -4*k. Suppose -c*a = -k + 6. Is -1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k - o, -6 = -2*k - o + 5. Suppose 4 = k*m - 2. Suppose 3 = m*y - p - 1, 8 = 5*y - 2*p. Solve 2*v + z + 11 - 3 = y, -14 = 2*v - 2*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15737\/12 - 4085\/3. Let x = k + 50. Which is the biggest value? (a) x (b) 0.3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:27 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 9*c = 2700. Suppose -45*p + 42*p + c = 0. Round p to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1405*q**2 + 693*q**2 + 713*q**2. Let x(z) be the second derivative of 85*z**4\/12 - 7*z. What is j(x(n))?\nAnswer: 7225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -25\/4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 17. Suppose 16*c = a*c - 4. Suppose 2*g = g - c, -h + 89 = 4*g. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**2 + 9*b. Let s(y) = -3*y**2 + 4*y. Let k(j) = -4*h(j) + 9*s(j). Let v(z) = 1098*z + 1078*z - 2324*z. Calculate k(v(x)).\nAnswer: -65712*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5436 and 0.2.\nAnswer: -0.10872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*(28\/(-7))\/28?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0*b = -2*o + 7, 4*o + 6 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -450325 (base 10) in base 14?\nAnswer: -ba181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l - 3*l)*(2*l**3 - l**3 - 3*l**3) + 2*l**2 + 182*l**4 - 2*l**2 - 8*l**4.\nAnswer: 170*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, -4, 39 in decreasing order.\nAnswer: 39, 5, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582053315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 25. Suppose 3*x = a + 7. Suppose m + 1 = x*b + 11, 3*m - 3*b = 18. Solve 2*d + 3 = -3*y, -5*y + 0*y = -m*d + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 225*m + 1 - 3*m**2 - 3*m**2.\nAnswer: 2*m**2 - 225*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -11*y - 138 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 56*z - 5304. Let f be d(95). Solve 5 = m, -f = -2*j + 92*m - 94*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 less than -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4496449.859921 + 4496448. Let f = h - -1.86. What is f rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 38 + 17 = 0. Suppose w = 4*w + c - a, -2*c - 26 = -2*w. What is the highest common divisor of 119 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**11)\/(((t*t**35)\/t)\/t))\/(t**(-19\/5)\/t**(-33)) assuming t is positive.\nAnswer: t**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16473\/14212 + 2\/22?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**0)*v)\/v**(2\/27))\/(v*v\/((v\/(v\/v**(-2\/17)))\/v)*v*v**(-3\/10)*v) assuming v is positive.\nAnswer: v**(-13273\/4590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 17*w**3 + 3*w**3 + 2*w**4)*(-3 - 1 + 3 + (5 + 0 - 3)*(2 - 7 + 4)).\nAnswer: -6*w**4 - 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47467349 to the power of 1\/2, to the nearest integer?\nAnswer: 6890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3586 to two decimal places.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 + 120*o**4 - 590*o**3 - 1560*o**2 - 845*o.\nAnswer: -5*o*(o - 13)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 + -2 + 4. Let f be 7\/5 - (-22)\/(-55). Let n be (f - (-4)\/(-8))\/2. What is the smallest value in n, p, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbbnbisbkssbkkkkkb. What is prob of sequence in?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2120 + 3421?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-4)*2\/1. Suppose 3*h - 5*o - 521 = 0, -x*h + 0*o = 3*o - 891. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4630571 to the nearest integer?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126960 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 31*l - 35*l - 1 = -37, 3*w - 26*l = -126 - 36 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -4*w**3\/3 - 2*w**2 + 8*w - 1. Factor k(t).\nAnswer: -4*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 152 = 5*l - i, -3*i + 12 = 0. Let y = -36 - l. Let w = 3 - y. Solve 0 = 2*j + w - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 23*k + 44. Let w be n(-21). Suppose f - 48 = -2*x, w*x + 180 = 5*f - 0*x. Suppose f*l - 40*l + 634 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 + v + 13. Determine m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173735296 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8392304 to the power of 1\/2, to the nearest integer?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797583.\nAnswer: 103, 157, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65019 divided by -113?\nAnswer: 65019\/113","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 40. Let u(b) = -b + 1. Let m be u(9). Sort -3, m, i in descending order.\nAnswer: i, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + 14. Let v = -36 - c. Sort -1\/9, 2\/21, v.\nAnswer: -1\/9, 2\/21, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -563, -7.82, -11?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 51 + 65 = 5*u, -24 = -2*u + 4*l. What is the remainder when 1919 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddvv when four letters picked without replacement from dvvddddd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 4. Let n be y(-4). Suppose 0 = -n*d - d. Suppose 5*k + 5*z = 85, 3*k + 0*k + 5*z - 59 = d. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:17 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/60 - f**3\/2 + 9*f**2. Let c(o) = 2*o**2 + o - 5. Let g(v) = 5*a(v) - 3*c(v). Factor g(l).\nAnswer: -l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*g + 5 + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 1 + 1)*(5*m**2 + 0*m**2 - m**2) + 9 - 8*m**3 - 9 - m**3 + 3*m**3 - 4*m**3 + 0*m**3 - m**3 - m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15 = -5*i, 5*q + i - 25 = 3*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12030 - -101333?\nAnswer: 23303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1 + 3)*(928 - 928 + 228*j**4) to the form h*j**2 + u*j**3 + v*j + k + x*j**4 and give x.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1 + 5117*c**2 - c - 19*c**3 - 5117*c**2. Let o be k(-1). Let p(q) = -q + 54. Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630837 is divided by 177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**3 + 2*s**2 + 31*s + 5. Let t(r) = 10*r**3 + 3*r**2 + 29*r + 6. Calculate -5*t(u) + 6*w(u).\nAnswer: -2*u**3 - 3*u**2 + 41*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-6\/7)\/x))**(1\/49)\/(x**(-2\/11)\/x)**16 assuming x is positive.\nAnswer: x**(71641\/3773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 488\/5. Let m = -1920.95 - -1921. What is the nearest to t in -3, m, -2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 532315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 + -402?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96102 divided by -6?\nAnswer: -16017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + 82*l**2 - 35*l - 45. Calculate a(27).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3508, -3549, -3616, -3709?\nAnswer: -3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796136?\nAnswer: 2, 11, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (117\/26)\/((-12)\/32*2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -30. Let i be n\/27 - ((-2)\/9 + 0). Solve 4*r - 12 = -i*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 2 = 26*u, -u + 2 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/82971 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8675787 centuries?\nAnswer: 86.75787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205436*f**3 + f**2 + 18999*f + 5 wrt f?\nAnswer: -1232616*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 713064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48? (a) 327\/32 (b) -2 (c) -3\/5 (d) 4 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 10. Let z(x) = 4*x - 19. Let d(s) = 5*k(s) - 2*z(s). Let a be d(8). Suppose 168 = 3*t + m + 11, -a*m = -4*t + 236. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t - 133. Let o be m(17). Let a(h) be the third derivative of -h**4\/6 + 7*h**3\/6 - 83*h**2. Determine a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6809 or 6811?\nAnswer: 6811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 769*a - 1 + 812*a to v*a + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*b + 36. Let c be (-1)\/b + 1525\/6. Suppose -4*w - 188 = -2*a, 2*a + w = -a + c. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d - 10. Suppose 0*h = -d*h. Solve 3*l + l = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -484, -3810, -12838, -30418, -59400, -102634, -162970, -243258?\n\"Answer: -475*c**3 - c**2 + 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, 0.0161, 0.3, -3\/4?\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q + 0*q**2 - 4*q**2 - 32*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 970490.6kg?\nAnswer: 970490600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 11*u + 6. Let l be t(-5). Let n be (2\/4)\/((-6)\/l). Solve 0 = -g + n + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 3}. Give prob of sequence mmmr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 13. Let u be (-27)\/36*(0 + q). Is u\/(-3)*(-3 - 154) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 10. Let v be n(7). Suppose -15*z + v = -14*z. Suppose -z*d - 2*d - 20 = 0, 3*d = 2*l - 22. Solve 13 = -s + 4*p, -4*s = l*p - 1 - 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/7 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 548577 and 365718.\nAnswer: 1097154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157710229 to the nearest integer?\nAnswer: 12558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Let r be ((-4)\/(-10))\/(t\/(-90)). Is 157\/3 - r\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 64. What is the remainder when 47 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9266, -0.7, -1\/11?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 10:24 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 2*n**2 + 3*n. Let u be w(-3). Let l be 1 + 1 + u + -2. Let l*d + 1 - 5 - 6*d**3 + 2*d + 8*d**2 = 0. Calculate d.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074150579 rounded to 5 decimal places?\nAnswer: -0.00742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003497763 rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuuurhrrhrhhrhrhr. Give prob of sequence hu.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - 4*-2*sqrt(114) - sqrt(114)) + -1*sqrt(114)*-1)*1)\/(2*(sqrt(6)*2*5 + sqrt(6))*5).\nAnswer: 9*sqrt(19)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let u(r) = -769*r. Calculate h(u(k)).\nAnswer: 591361*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 86712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let t(v) be the third derivative of -35*v**4\/24 + 27*v**2. Give t(s(o)).\nAnswer: -70*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.006321 + -36736.006321. Let t = 36714.987 + a. Let v = -21 - t. What is v rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (7 - -1 - 5). Suppose w - 2 = s + 4*i, 2*s - 9 = -5*i. Solve f + 0*j - j = s, -2 = 5*f + j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*q + 5*h, 2*q - 14183 = 5*h - 14216 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24981 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388*s + 690*s + 2*s**3 + 698*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 2192494*c - 32887460\/3.\nAnswer: 2*(c - 3288746)*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 524 - 519. Put 48, -2, z in decreasing order.\nAnswer: 48, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*r**2 - 2*r**2 + 6)*(83 - 83 - 9*r**2).\nAnswer: -9*r**4 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072807 + -1.7?\nAnswer: -1.627193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11483 - -114739\/10. Calculate the common denominator of -97\/1362 and y.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5733*j**2 + 19879*j - 19879*j + 0*j + 0*j - 2*j**2 - 5*j**2 + 5*j**2 - j**2 + (-1 + 1 + 2)*(j**2 + 2*j**2 - 5*j**2) + 1 - 2*j**2 - 1.\nAnswer: -5742*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/7, 18, -0.12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239605537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88)*-3 - sqrt(88))*6)\/((sqrt(8) - (sqrt(96)\/(sqrt(36)\/sqrt(3)) - sqrt(8)))*-2)*-6.\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 122, 61, -40, -181, -362, -583, -844?\n\"Answer: -20*f**2 - f + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -44*y - 158 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30445.8 from -5.794364.\nAnswer: -30451.594364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53109.97t?\nAnswer: 53109970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 - 3882*k - 5087. Give s(-484).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwgggwggww. What is prob of sequence gw?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3857342926?\nAnswer: 2, 23, 83855281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 15. Which is the nearest to 0? (a) d (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, l: 3, v: 3, e: 3}. Give prob of picking 2 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5825 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o**2 + 107*o - 3. What is d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3180 + 3179.6453. Round v to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 245, 547, 959, 1475, 2089, 2795?\n\"Answer: -y**3 + 64*y**2 + y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 8. Let i be f(-10). Suppose -i = -0*k + k, -4*k - 27 = -u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 274, 1, 2\/3, 0.3, -0.5 in decreasing order.\nAnswer: 274, 1, 2\/3, 0.3, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 + 0*u**5 - 5*u**5 - u**5 + 2*u**2 - 2*u**2 + (-4*u**3 + 4*u**3 - u**3)*(u**2 - u**2 - 2*u**2).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 - 169*m**2 + 3. Let l(j) = j**3 + 1. What is i(p) - 3*l(p)?\nAnswer: 3*p**3 - 169*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x - 1142 - 697 = 47*x + 497 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 13*o + 57*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 36\/(-42)*((-6195)\/6 - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 4*x. Let d be w(3). Solve 6 = -5*l + 6*l + d*a, -4*l = -4*a - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8705 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6511 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14691*x + 14688*x = 2*j - 1, -4*j = -5*x + 31 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpgokokpokvgopppvppo. Give prob of picking 1 g, 1 k, and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(3))\/(sqrt(4)\/sqrt(2)*1) + ((sqrt(1200) - (-2 + sqrt(1200)))*6)**2 + -3 + 2.\nAnswer: 2*sqrt(3) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (1 + -12 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -464*p**2 + 194*p**2 - 506*p**2 - 493*p**2 to the form w + j*p**2 + u*p and give j.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l - 4. What is i(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 4*u)*(19 + 21 - 9)*(-2 + 2 + 7).\nAnswer: 217*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0.1, -1.5, 5, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*x - d, -2*x + 4*d - 3 = -3*x. Let r = 17 - x. What are the prime factors of (-90)\/r - 10\/5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213 - -206018?\nAnswer: 205705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 591611109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:30 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 116. Suppose 0 = -2*v - 2 - 6. Let k = -3 - v. Solve k = l*z + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 m when four letters picked without replacement from tmrmjrejgmgtmjrjrrgm?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 103 + 4*u**4 - u + u**2 + 105 - 15*u**4 to o + k*u**2 + a*u + v*u**3 + w*u**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, 12.\nAnswer: -5, -4, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72157 is divided by 352?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 18. Suppose -3 + 2 = q. Let t = q + o. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 25, 48, 95, 172, 285?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.40667 + -9.40599. Let g = -0.058 + 26.058. Let w = g - r. What is w rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let z(d) = -2*d**2 + 9*d - 8324. Give z(j(a)).\nAnswer: -8*a**2 + 18*a - 8324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 80. Let z(j) be the third derivative of j**6\/120 + j**5\/60 - j**4\/6 + j**3\/2 - 2*j**2. What is the remainder when v is divided by z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 8:52 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 424, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (sqrt(425) + 1)) + 1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6368, -6365, -6360, -6353, -6344, -6333?\nAnswer: -6320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 7. Let g be p(5). Suppose -2 = -b + g*b. Let f be (-2)\/b*-4 - -1. Is f greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -9, -2.65, 1, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.76 less than -1?\nAnswer: -3.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4841631334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2656 in descending order.\nAnswer: 2, 0, -2656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**5\/20 - 5*b**4\/6 + 2*b**3 + 8*b**2 + 4*b. Let a be h(-11). Solve 3*m - a = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168457169.99813 - 168456461. Let h = v - 709. What is h rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 - -0.2411\nAnswer: -60.7589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (10 + -3 - -8)) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 5:41 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 10607456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44077.1 rounded to the nearest one hundred?\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 8146 - 207. Let m = -7 + 9. Suppose -3*g = -m*g - s. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.2 - 0.8. Let k = -25 - p. Let l = k - -9. Sort -2\/11, l, 0.2 in ascending order.\nAnswer: l, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.15 + 2.42. Let m = d + 58.63. What is m rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 124*t - 350. Let d be r(-3). Put 12, d, 2, -10, 3 in ascending order.\nAnswer: -10, 2, 3, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-484 - -485) + (0 + -5 - (0 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02248 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q + 1. Let o(w) = 2*w**2 - 9*w + 8. Let m(n) = -o(n) + 4*x(n). Let b be m(-5). Solve 3*a - b = -2*c, 5*a - 37 = -3*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1757 times -20?\nAnswer: 23.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(133)\/((sqrt(210)\/sqrt(6))\/sqrt(5)) - (5*(3*sqrt(133) + sqrt(133)) - sqrt(133))\/sqrt(7)))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 5*h**2 - 3426 + 3443 as t*h + x*h**2 + q and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-8)*(-576)\/180. Put -15, 3\/2, 28, g in decreasing order.\nAnswer: 28, g, 3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - -2 - (-6 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -655352, -655207, -655060, -654911, -654760?\n\"Answer: b**2 + 142*b - 655495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 4*w + 4928. Let j be p(-72). Solve 0 = -15*t + 11*t + j for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1860\/19 in 0.1, 1\/19322, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 2*m)*(-4 + 13 + 6).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -4. Suppose -4*n - 229 = 4*m - 1, 279 = -5*m - u*n. What is the remainder when (-2)\/5 + m\/(-10) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + j = -10, -4*j - 11 = 2*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282287349 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**6\/120 + x**5\/6 - 19*x**4\/24 + 13*x**3\/3 + 858*x**2 + 2*x + 2. Calculate q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-58)\/3)\/(4\/114). Let w = -83 + -1675. Let d = l - w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Suppose l + 4 = 0, 4*l - l = -4*j - 40. Let u = j - -9. Let m(d) = 2 + u*d - 3*d - 2. What is m(n(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*s = -125*s + 8. Find the third derivative of -2*f**3 + 2*f**3 - 3541*f**2 - 2*f**6 + 93*f**6 + 3582*f**2 - s*f wrt f.\nAnswer: 10920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13428 divided by -3\nAnswer: -4476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w**3 + w**2 - 2*w + 1. What is m(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v + 366 - 2384 = 196 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 4*k**2 - 3*k + 1. Suppose 0*r - 3*r = -9. Let f be a(r). Suppose 2*q = -5*y + f, 17 - 4 = 5*y - 4*q. Solve z + 0*z - y = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3564) + -2*sqrt(3564)) - (sqrt(3564) + (sqrt(3564) + -1*sqrt(3564))*-3))\/((sqrt(484) + -1*sqrt(484) + sqrt(484))*2*4).\nAnswer: -63*sqrt(11)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) + (-9)\/(-11). Let k be n*1\/(-7)*-10. Factor -k*p - 4\/7*p**4 - 18\/7*p**2 - 2\/7 - 2*p**3.\nAnswer: -2*(p + 1)**3*(2*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4*c + 3. Suppose 5*m - 6*m - 4 = 0. Let g be u(m). What is w in 7*w**5 + 0 + 3\/2*w**2 - 3\/2*w**4 - 8*w**g + w = 0?\nAnswer: -1, -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 + 0. Let k = a + -0.2. Let l = k + 3.1. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233859 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168431279*z**6 - 158818367*z**2 wrt z.\nAnswer: -20211753480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 3*d - 4*d. Let z = d - 400. What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50867 (base 9) in base 2?\nAnswer: -1000001011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9628*i*p**2*w + 4255*i*p**2 + 6*i*p - 3*i*w - i - w wrt w?\nAnswer: -9628*i*p**2 - 3*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.2 (c) -2 (d) 80 (e) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let i(d) = 2*d + 5. Suppose -4*k + 28 = -0*k. Suppose 4*q + k = -9. What is q*t(m) - i(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 - 790*h**2\/3 - 84064*h - 31617152\/9.\nAnswer: -2*(h + 49)*(h + 568)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a**4 + 13 + 1\/60*a**5 + 3*a**3 + 0*a + 0*a**2 + 1\/540*a**6. Let q(c) be the third derivative of m(c). Factor q(g).\nAnswer: 2*g*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pttp when four letters picked without replacement from {h: 4, p: 2, t: 8}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*m - 24, 3*m - 5*m = r. Let q be 170\/r - (-2)\/8. Let j = 39 + q. What is the remainder when j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/17 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*g + 584 + 1964 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 2. Let r be t(1). Let j = 29 - 31. Which is the biggest value? (a) 2\/7 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -481.6 and -8.\nAnswer: 3852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = i + 3480*w - 3475*w, -47 = 16*i - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, d: 5}. Give prob of sequence dd.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*(1 + 2). Suppose -3*v + 2 = 2*o, -3*v = -2*o - n + 15. Let s(z) = z**3 - 5*z**2 + 2*z + 2. Calculate s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjnjbbnkjjnkjjjjjbb. What is prob of picking 2 n and 1 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738006 to the power of 1\/2, to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1477690, -2955374, -4433058, -5910742, -7388426?\nAnswer: -8866110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2133, 4228, 6279, 8292, 10273?\n\"Answer: k**3 - 28*k**2 + 2172*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(15 + 752\/(-48)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 14*d**3 + 3*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24*-1)\/((-2)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-84)*20*(-3)\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*g + 39*g - 10434 = -46*g for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -353.7769?\nAnswer: 353.7769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11656*f + 11762*f - 2014 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18872 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*3 + 1. Suppose 0 = 3*m + s*g - 322, -m = -5*g - 72 - 7. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8) - 70\/(-12). Let h = n + -5. Let c(f) = f**3 - 19*f**2 + 38*f - 68. Let t be c(17). Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**4 + 52266*s**2 - 3*s - 764696 wrt s.\nAnswer: 4*s**3 + 104532*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 640 + 7a?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**4*(g\/(g\/g**(-2)))\/g*g*(g\/(g*g*((g\/((g*g**(2\/3))\/g))\/g)\/g*g))**(-19)*(((g*g**(-1)*g)\/g)\/g*g**8)\/(g**(-2))**2 assuming g is positive.\nAnswer: g**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n**2 + 23*n + 33. Let z(c) = -5*c**2 + 12*c + 17. Let d(h) = -4*b(h) + 9*z(h). Let l be d(17). Solve -3*s - 3 = 2*p + 1, -16 = 2*s + l*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2690, -0.4, 0.5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) - (sqrt(567) - ((6*-2*sqrt(567) - sqrt(567)) + sqrt(567)))))\/((sqrt(9072)*1)\/sqrt(7)).\nAnswer: 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1.23?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 3744?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:37 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, b: 6}. What is prob of sequence tbt?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + (-33)\/(-6) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 924 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*v - 261, -2*z = -2*v - 113 + 271. Suppose f - 4*m = v, -3*f - 2*m = 2*f - 498. Is f a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 365217 = -0*g - 7*g. List the prime factors of g.\nAnswer: 3, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 3*w + 4. Let n be k(-3). Let q(d) = -d**3 + 9*d**2 - 2*d + 23. Let c be q(9). Sort -4, n, c in descending order.\nAnswer: c, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3, -h - 3 + 6 = -2*y. Let d be -1*(4\/(-3) - (-589)\/93). Sort h, 3, 4, d in decreasing order.\nAnswer: 4, 3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2989*f + 1621*f + 5472 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - v = 24, 0 = -3*v - 12. Let d be 96 + 0*(0 - -1). Suppose -5*r + d = -2*r. What is the greatest common divisor of r and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058186 greater than 5290923\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 1. Let w be r(-1). Suppose 0 = -w*j + 5*h + 53, 6 = -h + 1. Solve 3*d - 13 = -5*o, -j*o + 2*d = -2*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*v + 592*v - 1206 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 3*y - 2*y**5 + (1 + 0 - 3)*(3*y**3 - 5*y**2 + 5*y**2)*(-8*y**2 + 6*y**2 - 15*y**2).\nAnswer: 100*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + (7 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**5 + 912*z**4 - 9*z**3 - z - 196049.\nAnswer: -20*z**3 + 10944*z**2 - 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344 divided by 293?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from oiooccoociooiocc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002659403 rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 5, -5*j - 5 = 2*k. Solve k*s = 4*h + 3*s + 28, -3*h - 20 = 2*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21095340 is divided by 843813.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3635760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 10*o - 4*o + ((0 - 2 + 3)*(3*o - o + 0*o) - 3*o + 6*o + 4*o)*(0 + 1 + 2).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3\/5, 2\/13, 15\/8 in descending order.\nAnswer: 10, 15\/8, 3\/5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let x be z\/12 - 50\/(-8). Differentiate 0 + 8*d**3 + 2 - x*d**3 with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Suppose 0 = 3*t - 0 + 3. Let y be (2\/(-2))\/(t + 0). Give j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*k - 448, -146 = -b - 4*k - 53. Let j = b + -19. Suppose -2*f + j = 4. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-446)\/(-3312) - (-90)\/(-720). Are 0 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 115*p = -119*p - 38, h = 5*p - 5. Let w be (-2)\/6 + (-16)\/(-3). Suppose 7 = w*m - 43. Calculate the highest common divisor of m and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-14)*a**0*a)**(-1\/6)*(a\/a**(-3)*a\/a**(1\/6))\/((a*a*a*a\/(a\/(a*(a\/(a\/a**(-1\/9)))\/a)*a*a)*a)\/(a**(-1)\/a)) assuming a is positive.\nAnswer: a**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254618070 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3 - ((-835)\/105 + 8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014, 1283, 1738, 2385, 3230, 4279?\nAnswer: 5538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 2. Let m = -6.8 + 6. Let j = m - 1.2. Sort j, k, 1\/6 in descending order.\nAnswer: k, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t + 25408 - 30*t + 11*t**2 - 25450.\nAnswer: 11*t**2 + t - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572878444 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1\/2 (b) 7 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-560)\/12)\/(-2)*165\/275. Solve w*y + 17 + 39 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 3*h + 8. Let p be b(4). Let -8*z**2 - 6*z - 4*z**p + 2*z + 4*z**3 + 6*z**2 + 6*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d4 (base 14) to base 10\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -411 - -930. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2222642 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193026990 by -130.\nAnswer: -1484823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + u + 6. Determine i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 - 270*c**4 + 18491*c**3 - 35642*c**2 - 18492*c + 35912 = 0. Calculate c.\nAnswer: -1, 1, 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.776 + -2.9. Let r = o + 0.124. What is the closest to r in -0.2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 2. Let j(t) = -2*t + 5. Let q(c) = -2*j(c) - 5*x(c). Let h(y) be the second derivative of -1\/6*y**3 + 0 - y + 0*y**2. What is q(h(o))?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*h**2*r**2*s + 2*h**2*r**2 + 3172*h**2*r - 2*h*r*s + 18855*r**2*s - 425*r wrt r.\nAnswer: 38*h**2*s + 4*h**2 + 37710*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/17))**(-3\/14)*r**(1\/18)\/(r\/(r*r**30*r)))**(-2\/107) assuming r is positive.\nAnswer: r**(-66494\/114597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 11*j**2 - 17*j + 7. Let l be h(10). Let u = -39 - l. Suppose 0*x - 5*x - 3*m + u = 0, 4*m = -3*x + 21. Sort x, -3, -23 in descending order.\nAnswer: x, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 92. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 795, 495, 197, -99, -393?\n\"Answer: r**2 - 303*r + 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 7*g + 2 + 97 = -2*l, 13*g = -169 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*-3*(-6)\/27)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 82, 90, 98, 106, 114?\n\"Answer: 8*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5431741438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3 + c**2\/2 + 25*c. Determine o(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 + 6*v - 1. Let q(l) = 4*l**2 + 6*l - 2. Let g(r) = -3*k(r) + 4*q(r). Let m be g(-7). Solve 3*i - 5*f - 6 = 0, -5*i + m*f = -i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 1\/30*q**3 + 2*q**2 + 0*q**4 + 0 - 1\/300*q**5 + 0*q. Factor m(n).\nAnswer: -(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(-6 + -8 + (-40977270)\/(-2926948)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-2 + 2)**2 - 5*(0 + sqrt(704) - sqrt(704))) + -2 + 5 + ((sqrt(704)*-1 + 1)*2)**2.\nAnswer: -128*sqrt(11) + 5643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 64898482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2967628 or 2967621?\nAnswer: 2967628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 135*j = 254 + 127. Which is the fourth biggest value? (a) 3\/5 (b) 2\/5 (c) -1 (d) -1\/7 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12043048.\nAnswer: 2, 1505381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 405359*d**2. Let p(t) = -11*t. Give p(g(m)).\nAnswer: -4458949*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 224620?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*(w*w\/w**5)\/w*w)\/(w*(w\/w**(-4))\/w*w*w\/w**(-1\/5)) assuming w is positive.\nAnswer: w**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.481? (a) -1\/3 (b) -5 (c) -2\/15 (d) 1\/2 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seg when three letters picked without replacement from {g: 10, s: 1, e: 1, q: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22197 and 26242743?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/60 + u**5\/10 - u**4\/24 - 2*u**3\/3 + u**2 - 2*u. Let y(j) = -2*j**3 + 7*j**2 - j - 5. Determine -5*q(t) + 4*y(t).\nAnswer: 2*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -x - 3*i - 16, -2*i = -8. Suppose -4*b - b = -55. What is the remainder when x is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 - 400 - 612 = 30*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -3 + (-400 - -442)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 5:12 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-82 - (-60 + 3))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -3, 3.\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9528 divided by -4764.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 28071493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:02 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 19. Let i be z(10). What is the units digit of (-16)\/(-6) + i\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 35*m**3 - 25575*m**2 + 1090735*m - 12810130.\nAnswer: 5*(m - 31)**3*(m + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4543123cm?\nAnswer: 4543123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2112 and 28371904?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 2. Suppose 68 = z*d - 69*d. Suppose -d - 25 = -2*j. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 68*i. Let u(x) = 188*x + 34254. Calculate b(u(s)).\nAnswer: 12784*s + 2329272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 2*l + 2. Let h(b) be the first derivative of b**4\/4 - b**3 + 3*b**2\/2 + 3*b - 57. Determine 2*h(v) - 3*j(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -158454 - 1234?\nAnswer: -159688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*k + 63*k - 179*k + 68264 + 54*k + 81591.\nAnswer: 2*k + 149855","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -254 + 269. What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 s when three letters picked without replacement from bbcsopx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-119)\/42) + 497\/(-84).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -29, -2, 5, 307.\nAnswer: -29, -2, 1, 3, 5, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbghhhbhbhhhhggbhgbh. What is prob of picking 1 g and 1 b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9)\/(d**(-24)\/d))\/(d\/(d*d\/(d\/(d**(1\/15)\/d))*d)*d*d**(-20)))**(-7\/6) assuming d is positive.\nAnswer: d**(-13951\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, s: 2}. What is prob of sequence gs?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**6\/40 - l**5\/20 - 2*l**3 - 6. Let b(z) be the third derivative of c(z). Let b(s) = 0. What is s?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -539\/2 - -3341\/12. Find the common denominator of q and (-8)\/32*8\/5 - (-22)\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6, 6*v - 5*v = 4*u - 5. Let y = 32 + -23. What is the greatest common divisor of y and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 20 = -112. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*n + 14, 14*n = 2*t + 15*n - 20. What is the least common multiple of t and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 30 = -3836*j + 3834*j, -3*d - 2*j = -20 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + 0.99. Let l = 0.8 + d. What is the third smallest value in l, -12, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-104)\/12)\/((-8)\/1980). What is the hundreds digit of (g\/26)\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 12. Let i be u(-6). Suppose -i - 6 = -4*s. Solve 0 = s*h - 8 - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117091*q + 42 = -117051*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquqqqqqqqu. Give prob of picking 2 q and 1 u.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095900 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2877008 millennia?\nAnswer: 28.77008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4114859ml?\nAnswer: 0.0004114859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxpx when four letters picked without replacement from xllxrjxxxjjlprljplll.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10678.9900047 - 10677.96. Let p = -1.03 + f. What is p rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jussudusjsjwsjwjj. Give prob of sequence ssjw.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -1.1. Let n = y - -0.6006. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, k: 4}. What is prob of sequence wwww?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 24 = -u. Let x = u - -75. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {u: 1, s: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8863 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -56*r + 4. Let h(i) = 55*i - 6. What is 2*h(d) + 3*w(d)?\nAnswer: -58*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:59 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15484 is divided by 414?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 11909*v - 11904*v - 25 = 0, -4*j + 2*v = 22 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -57*t - 9. Let z be u(-8). Let o = z + -4913\/11. Factor -2\/11*v + 4\/11*v**2 + 2\/11*v**3 - o.\nAnswer: 2*(v - 1)*(v + 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -0.0802352.\nAnswer: -1.7651744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (99\/(-27) + 5)\/(1\/3). Put -0.5, p, -2, 1\/56 in descending order.\nAnswer: p, 1\/56, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1863 + -1836. Put n, 0, 5, -2 in decreasing order.\nAnswer: n, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 17 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -114979, -229959, -344939, -459919, -574899, -689879?\n\"Answer: -114980*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507801160 to the power of 1\/3, to the nearest integer?\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18 - ((4 - (-18 + 5)) + -6)) + (-10 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 825*i + 829*i - 8, 0 = 3*s + 5*i - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n + 1. Suppose 5*a = 8*x - 4*x, 0 = -5*a. Let s be b(x). Factor -1\/4*h + 5\/4*h**2 - s.\nAnswer: (h - 1)*(5*h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 7*u**2 + 56*u + 303. Let i be k(-6). Sort 19, i, 10 in increasing order.\nAnswer: i, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 478 + -489. Which is bigger: -196\/17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -3*s**7\/14 - 19*s**4\/12 - s**3\/6 - 80*s - 1. What is the third derivative of q(n) wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = -2*x - 859375, 5*s = 4*x + 859365. Suppose -8*m = -2499 - s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108928 and 1315646?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 1. Let g(l) = -10*l - 53. What is g(o(x))?\nAnswer: -40*x**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14353.83 and 132.\nAnswer: 1894705.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -10221121220002210?\nAnswer: 10221121220002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.02, -3, 4, 1\/4 in ascending order.\nAnswer: -3, -0.02, 1\/4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 2*c**2 - 5*c + 5. Let w be o(2). Let g(f) = -f + 17. Let x be g(w). Suppose -z + 3*p - 644 = -x*z, 3*p + 499 = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 10*k**2 + 7*k - 31. Give m(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8 and -33\/238.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 (base 8) in base 2?\nAnswer: -1010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-7 + (-6 - -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 3*t**4\/8 - 19*t**3\/2 - 22*t**2. Let n be q(4). Let m = -1 + -20. Is m <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (-24 - -12 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m**2 + 93*m - 8. Let c(d) = 30*d**2 - 190*d + 14. Let j(p) = -4*c(p) - 7*h(p). Let x(k) = 21*k. Determine x(j(q)).\nAnswer: -21*q**2 + 2289*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 20*j**5 - 14592*j**4 - 5860*j**3 + 14592*j**2 + 5840*j = 0.\nAnswer: -1, -2\/5, 0, 1, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k - 14. Let a = -4 + k. Let g be (-1)\/4 - 1\/28. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42200.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*a - j + 8, -6 = -3*j. Let d(n) = -n**2 - 23*n - 25. Calculate the remainder when d(a) is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5294, -4730, -3790, -2474, -782, 1286?\nAnswer: 3730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.374, -4, 4 in decreasing order.\nAnswer: 4, -0.374, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(8\/(-36))\/((-2)\/(-3)). Solve -2*p + b*l = 8, -2*p + 5*l - 13 = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 18*t**2 + 20*t - 36. Let k be c(17). Solve 0 = 3*x + k, -4*x = -s - 3*x + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857828173 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 137854, 275546, 413238, 550930, 688622, 826314?\n\"Answer: 137692*x + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 5\/3, 14, 3\/4, 3\/2, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425745 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255 + -254.9162. What is n rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/15 + 8*k**3\/15 + 4*k. Solve j(h) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/36934 or -0.1?\nAnswer: -3\/36934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -387, -477, -607, -777, -987, -1237?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.97881 to 1 decimal place.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21780106? (a) -6 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-24) + (-604)\/(-6). Suppose 4*x = -3*l + i, x - 32 = -l - 0*l. What is the tens digit of 6\/l - (-248)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*k**3 + 6*k + 16 wrt k?\nAnswer: 1032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*f - 54*f - 81*f + 35*f in the form l + m*f and give m.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*m - 12 = -113*m + 5*g, -4*g = -3*m + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 418804.5 tonnes?\nAnswer: 418804500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4 + -2 + 17 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 + 3*p - 4. Let i be t(2). Solve -2*c + 4*k = -i, 10*k - 5*k + 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (7 - 12) - -19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*j = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 23298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcccjc. Give prob of sequence cjjc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92724446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -13*u + 23. Suppose -u*i - 2*r = -1588, -7*i - 794 = -8*i - 3*r. What are the prime factors of i?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*z - 134 + 3 = 0, 2*f + 9*z = 85. Solve 45*y + f*y + 592 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79705912 and 103246?\nAnswer: 79705912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3 - 2*m - 2 + 0 + m**2. Let g be a(1). Solve -4*o - 8 = -2*r, 3*r + g*o - 6 = 3*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93821647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127889\/24 + 5323. What is the common denominator of h and 102\/272*(-106)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 + c**4\/24 - c**3\/6 - c**2 - 10. Let i(d) = 3*d**2 + 3*d - 5. Give -i(m) + 4*u(m).\nAnswer: m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*x - 17, 17 = -4*o + 9*o + 3*x. Solve -41*g - o = -40*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}