diff --git "a/data/dm_maths/full_data_2/7860_11255.jsonl" "b/data/dm_maths/full_data_2/7860_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/7860_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 9, what is 57547457 + 1?\nAnswer: 57547458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**9\/1512 + h**8\/280 + h**7\/140 + h**6\/180 + 2*h**3\/3 + 4. Let l(t) be the third derivative of o(t). Factor l(j).\nAnswer: 2*j**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 13, -5, 1, -2 in decreasing order.\nAnswer: 13, 1, -2, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9421, -8797, -8173, -7549, -6925?\nAnswer: -6301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 181*g**3 - 532*g**3 - 196*g**3 - 3*g.\nAnswer: -909*g**3 - 3*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 17.44?\nAnswer: 1.2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47316 is divided by 2117.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12579 - 8508. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 16 (c) -0.2 (d) 19\/5 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22899*k**3 + 12108*k**3 - 20727*k**3.\nAnswer: -31518*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 10*j**2 - 5*j - 12. Let y be l(10). Let v = 1 - y. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 1020, -48, 0, -4, -2 in descending order.\nAnswer: 1020, 6, 1, 0, -2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 6. What is the nearest to 1 in o, 3\/5, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmzvvzvmvmmmiivm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -160*s**3 + 7*s**2 + s - 6. Let j be u(-1). Is j at most 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - 8\/(-28). Let l(h) = h + 10. Let b be l(-5). Solve b*d + 9 + 6 = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 1 = p, -a + 46 = 47 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - -183a7?\nAnswer: 18425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131925823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 64*x + 192.\nAnswer: 4*(x - 12)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16*0.4\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:18 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11172689 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -44. Let p = -3.1 + 2.9. Let c = -0.1 - p. What is the nearest to c in -2, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43470 - 43468. Let t(k) = 2*k**3 - 8*k + 8. What is t(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 times 149\nAnswer: -9983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3642*i**5\/7 - 2078*i**4 - 134842*i**3\/7 - 248470*i**2\/7 - 18944*i - 792\/7 = 0.\nAnswer: -2, -1, -11\/1821, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most as big as 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**5 - 9*n**3 + 5*n**2 + 7*n - 5. Let k(h) = -3*h**5 + 4*h**3 - 2*h**2 - 3*h + 2. Let g(w) = 5*k(w) + 2*u(w). Factor g(m).\nAnswer: -m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-21\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o = 89*o - 120 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31a + -577773?\nAnswer: -577454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -131221?\nAnswer: 131215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.16 and 298608659.\nAnswer: 298608658.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -633 + 604. Let l be ((-1)\/2)\/((-16)\/(-16) - 2). Suppose k + 4*k - 15 = 0. Which is the nearest to 0.1? (a) l (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 109 - 119. Suppose 3*k + 2*a + 82 = 0, -87 = z*k - 2*k + 3*a. Let i be (-98)\/(-10) + (k\/(-10))\/(-3). Solve 3*p = -3 - i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 2290 + 2560 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 4*r + 6. Let s(i) = 14*i**2 - 11*i - 18. Let k(n) = 4*s(n) + 11*x(n). Let a be k(-3). Suppose -a*h - 2*h = -20. Solve -o = h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69471 divided by -93.\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffbubb. What is prob of sequence fffb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/111))\/(i*i*i**(-2\/9)))\/(i**3)**(-12\/7) assuming i is positive.\nAnswer: i**(10133\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwh when three letters picked without replacement from {q: 4, w: 2, k: 3, h: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 194798297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -39*s + 44. Let z be y(1). Which is the closest to 2\/143? (a) 3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2\/657 (c) -0.5 (d) 0.05 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) 1580 (b) 0.4 (c) -0.3 (d) -3 (e) -0.4 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2 + 3. Let g(v) be the first derivative of 4 - v**3 + 8*v - 5*v - v**3. Let n(a) = 4*g(a) - 3*k(a). What is the derivative of n(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -545 (b) -1\/7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 989*m + 984*m = 15, -u + 30 = -7*u - 39*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006396939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 300 in ascending order.\nAnswer: -4, 5, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**3 + 70*z**2 - 32565*z + 32565*z - 1 to the form g*z**2 + x*z + n + w*z**3 and give g.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - x = x - 4, 4*t - 8 = -4*x. Suppose -12 = 4*l, t*a - l - 4 = a. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*y**2 - 3*y - 180.\nAnswer: 194*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -45*b - 2036. What is f(-34)?\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86c9 (base 13) to base 5.\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20764516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.177325 minutes to microseconds.\nAnswer: 370639500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126824 divided by 2.\nAnswer: 63412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 s when four letters picked without replacement from psssssssphspsss.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-666624)\/(-14336)*(-3)\/((-9)\/(-8)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 60*q**2 + 4*q + 4. Let v be i(-3). Let x(l) = 532 - v + l**2. Let d(o) = -21*o**2. Determine x(d(j)).\nAnswer: 441*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.04, -4, -115?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 374 = -3*f + 1189, 3*v - f = 1579. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 321.6017 decades?\nAnswer: 3.216017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f**(-2)\/f*f*(f*((f*f**(-1)\/f)\/f)\/f)**(-8\/13))\/(f**(-4)*f*f**(-4\/9)*f*f*f*f*f**(-4\/3)*(f\/(f*f**1*f*f)*f*f)\/f) assuming f is positive.\nAnswer: f**(703\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0087 + -0.1913. What is the closest to 2 in 125, -1, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -701800 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2050242 - 53050?\nAnswer: -2143332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 5*t + 448 = 35*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 1\/90*m**6 - 1\/2*m**4 + 1\/45*m**5 + 0*m - 1 - 22*m**2 - 2*m**3. Let d(z) = 0. What is z?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122144698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 75447680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6002*b**2 + 4836*b wrt b.\nAnswer: 12004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 342 = -z, -2*n + 689 = -2*z + 3*z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73920730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-9))\/(-5) - (-1488)\/18. Suppose -85*k + l*k = -6. Solve 4*z + 2*b + 24 = 6*b, 3*z + 3*b + k = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1923688, -3847382, -5771076, -7694770, -9618464?\nAnswer: -11542158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3 (c) -19 (d) -100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:39 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 31. Let s be k(-7). Let a = s + -27. Let y be 6\/a*(-15)\/10. Calculate the greatest common factor of y and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204978.01 minus 0.4?\nAnswer: 204977.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7909635 micrograms in kilograms?\nAnswer: 0.0000000007909635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 7*j = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 4*n**2 - 91*n**2 + 102*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*2*-3)\/(sqrt(66)\/(-1*sqrt(6))))\/(sqrt(2) + sqrt(1000)\/sqrt(5) - sqrt(2400)\/sqrt(12)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let g(v) = 20*v - 34*v + 12*v. Give g(n(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3392?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 20*x**2 - 49*x - 1483. Give f(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 78780 + 3398 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -825, -1197, -1819, -2685, -3789, -5125, -6687?\nAnswer: -8469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 56*x**2 - 17*x - 7. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74051159 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3344\/55)\/(-8) + 9?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**2 - 7*p + 23*p**4 - 7*p**2 wrt p?\nAnswer: 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2526*h + 2516*h - 7559*h + 11638*h**2 + 2518*h to the form r + o*h**2 + t*h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -15. Suppose -2*l - i + 25 = 0, -l + 3*i = 2*l - 24. What is the highest common factor of m and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -10*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310800.\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2140+4624.603849\nAnswer: 2484.603849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 13) to base 11\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/2 + 17\/(102\/(-2358)). Let x = a + 399. Solve -3*w - 11 - x = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -5\/4, 1, 347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259370 is divided by 679.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2891, 5512, 8181, 10922, 13759, 16716, 19817?\nAnswer: 23086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 1806*d**3 + 5*d**2.\nAnswer: -1806*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 23 = -3*j, 1242*n + 2*j - 12 = 1240*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-2 + 6 + 4)*(3*d**3 - 3*d**3 + 6*d**3) in the form g + v*d**2 + w*d + o*d**3 and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y - 1 + 21*y + 16*y - 63*y + 24*y. What is k(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 1, t: 2, k: 1, m: 7, x: 4}. What is prob of picking 1 x and 2 t?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4430*l**3 - 5811*l**3 - 23660*l**3 - 2*l**2.\nAnswer: -25041*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f**3*r**2 + 2*f**3 - 2*f*r**2 + 17*f*r wrt f?\nAnswer: -78*f*r**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.594 * 61.168\nAnswer: -36.333792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 + 345 + 170 + 199)*(-2*r + 3*r + 2*r)*(-7 + 2 + 2).\nAnswer: -5157*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 24316648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + -46. Suppose -5*s - 319 + 24 = 0. Let c = s - r. What is the greatest common factor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-y**3 - y**3 - 5*y**3).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -96148455 divided by -95\nAnswer: 1012089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32\/1593 or -1?\nAnswer: 32\/1593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 19*y**2 + 4*y - 28. Let l be n(19). Calculate the highest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/6)\/(-4))\/(-1)*(-81 - -84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 17 = -25. Let s be ((-8)\/(-20))\/(r\/10). Sort s, -2, -5.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 9) in base 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, -0.4446, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843336182 divided by -1.\nAnswer: -843336182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 201023.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*g**2 + 18*g**4 - 22*g**4 + 0*g**2 - g + 5*g**2 in the form u*g + p*g**3 + w + a*g**2 + r*g**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 41*p**4 + 3*p**2 - 3*p + 27. Let f(v) = 162*v**4 + 11*v**2 - 11*v + 108. Let k(n) = 6*f(n) - 22*h(n). What is the derivative of k(i) wrt i?\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwg when three letters picked without replacement from wjwgggguge?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 330683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(175) + (sqrt(175) - (-1 + sqrt(175)))*-4 + sqrt(175) - 1*(0 + sqrt(175)))*-1)**2.\nAnswer: -640*sqrt(7) + 3056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) + -2*sqrt(76)) - -6*-1*sqrt(76))\/(sqrt(24)\/(sqrt(24) - sqrt(6))*4).\nAnswer: -11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*(-2932*j - 6457447 + 6457447) to the form u*j + l and give u.\nAnswer: 11728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by -3\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + 4 - (0 - (0 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x + 20 = -6*l + 89*x, -20 = 3*l + 4*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**3 + 20*a**3 + 19*a**3 - 55*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002893456 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + -4. Let f(c) = -c**2 - 11*c - 5. Let g be f(r). What is the units digit of 2\/(g\/2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let q be n(-6). Suppose -5*i - 25 = -5*v, 4*v - 3*i = -7 + 26. Solve -2*h + 2*f - 10 = -q*h, -v*f + 20 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(5*(-931)\/380 + 12).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1. Let d(b) = -6*b - 10. Let f(q) be the third derivative of -5*q**4\/24 - 3*q**3\/2 + 81*q**2. Let u(w) = -3*d(w) + 4*f(w). Calculate u(s) + 5*v(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let g(y) = 2*y - 2*y + 4*y**w. Let c(r) = -71*r**2 + 282*r**2 - 72*r**2 - 65*r**2 - 72*r**2. Determine g(c(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in 3, 1\/16, 3\/22?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + 3226 = 3*y + 3323, 40 = 4*f - 2*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30622144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6\/11, 1\/83, -0.1, -0.4 in descending order.\nAnswer: 1, 1\/83, -0.1, -0.4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13239*k. Let q(c) = 2*c**2. What is h(q(v))?\nAnswer: 26478*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*p + 2 - 16, -4*p = 3*j + 10. Let n(i) = -2*i + 3. Let a be n(0). Put a, 5, j in decreasing order.\nAnswer: 5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 4\/329 (c) 0.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175219?\nAnswer: 199, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71168612?\nAnswer: 2, 37, 43, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(832) + 5)**2 - -6*-2*(sqrt(832) - (sqrt(832)*3)**2)) + -1.\nAnswer: -16*sqrt(13) + 90712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -786, -1571, -2356?\n\"Answer: -785*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200135656 or 200135657?\nAnswer: 200135657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2931*f*k**3 - 3*f*k**2 + 2*f*k - 8*f - k**3 + 1865204 wrt f?\nAnswer: -2931*k**3 - 3*k**2 + 2*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = 520. Let s be -4*(b\/(-8))\/(-5). Suppose -2*g - 3 = -s, -2*x = 4*g - 72. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.72005518 + -26.72. What is b rounded to 6 dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -186, -599, -1394, -2697, -4634, -7331?\n\"Answer: -21*t**3 - 2*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -3*x + 3, 9 = 3*x. Let t(n) = d*n + 0*n + n. Let j(a) be the third derivative of -a**4\/12 - 5*a**2. Determine j(t(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1064369140 to the nearest 100000.\nAnswer: -1064400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(1*sqrt(36)))**2 + -4)*-2 + -5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3740 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -105 - 2?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 73*j + 1. Let g be p(-1). Let u be -6 - (-5 - 84\/2). Let q = u - g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.079436117 to five decimal places.\nAnswer: -0.07944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okwkooowkogoowtnkoow. What is prob of sequence ono?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - -1102000?\nAnswer: 1101511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2907671856?\nAnswer: 2, 3, 60576497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 5, 1, -0.5, -0.3, -3.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 divided by -39224?\nAnswer: -425\/9806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 5*n**2 + 19*n - 22. What is the first derivative of z(k) wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 - f**4\/24 + 7*f**3\/2 - 246*f**2 + 2. Determine q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/3)*o**3*(o\/o**0*o)**(-4\/21) assuming o is positive.\nAnswer: o**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-37)\/(-555))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 - 590572*a**2\/3 - 102623286*a - 13386412296.\nAnswer: -2*(a + 261)**2*(a + 294764)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*y**4 + 2533*y**3 - 2*y**2 + 22103*y + 1 wrt y.\nAnswer: -84*y**2 + 15198*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 w when four letters picked without replacement from ywwwhhywywyy?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5900 by 6297.\nAnswer: -5900\/6297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 2, -5, 1, 750, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.16187 + -31.83813. Let g = -1 - 3. Sort g, -0.3, k in ascending order.\nAnswer: k, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8935422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/((-7)\/21). Put a, 2, 0, -5 in ascending order.\nAnswer: -5, a, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*q + 30, z - 30 = -2*q - 3*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(720)*-1 + sqrt(720))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let y = 8 - 5. Let o = y + r. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.08 (b) 2 (c) 7402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.787292 meters?\nAnswer: 78.7292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56213715 by 11242743.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h - 25. Let u be i(-2). Calculate the highest common divisor of 54 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Let k = o + 1. Is 15 a factor of (29 - (k - -4)) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -8. Suppose 0 = -l - 5*t + 37, 2*l - 5*l - 15 = -3*t. Which is the fourth biggest value? (a) 4\/5 (b) l (c) r (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -249*n**2 + 22*n + 60. Let w(p) = -166*p**2 + 15*p + 42. What is -7*m(d) + 10*w(d)?\nAnswer: 83*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -479 - -968. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 12 + (18 - (9 - (-12 + 13)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63, -57, -77, -135, -243, -413, -657?\n\"Answer: -2*q**3 - q**2 + 23*q - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-27)*(-45)\/(-60)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 39566769 - 10617658 = 0. Let w = r - -881343. What is w rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 times -7.227\nAnswer: 0.180675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j + 1548 = 13*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, p: 1, m: 6, n: 6, t: 1}. What is prob of sequence pm?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-70) - 2\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6906, -31432, -73578, -133350, -210754, -305796?\nAnswer: -418482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, 1\/10, 18, 8.7, -1 in descending order.\nAnswer: 18, 17, 8.7, 1, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/10 - 40*a**3\/3 - 2. Let q(s) be the third derivative of u(s). Let k(d) = 11*d. What is q(k(i))?\nAnswer: 132*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -66\/223?\nAnswer: -66\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (3\/(-6))\/((-57)\/(-570))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 4*d + 1. Suppose -9 = -x + 3*b, -4*x + 7 + 7 = -b. Let q be p(x). What is the common denominator of -131\/6 and 362\/q + -1*3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 8, l: 1, q: 2, g: 3}. Give prob of sequence qpg.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 9 = 1. Let g(v) = v**3 + 12*v**2 + 5*v - 64. Let b be g(-11). Let j = 2 - -2. Solve x + b = -3*f, 6 = 2*p - j*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 33*c + 3*c**2 + 48*c + 2*c**2 - 2 + 2 + 2*c**2 - 2 + 2 + (-4*c - c + 4*c)*(0*c + 3*c - 5*c).\nAnswer: 8*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 0.4, -3020\/7, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-64)\/(-10))\/((-1)\/5). Let z(b) = -80*b**2 + 312*b - 3. Let c be z(4). Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 620?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 12*a**2 + 4*a - 5. Let s be u(12). Is 5 a factor of (s + -47)\/((-4)\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 54 = 3*d. Sort d, 0, -63, -2 in ascending order.\nAnswer: -63, d, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 6)\/((-1)\/(-22)). Let f be (-18)\/12 + w\/(-4). Suppose 14 = 3*s + 2*i, f*i = s - i - 16. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25431 (base 7) in base 9?\nAnswer: -10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6072, -12131, -18142, -24093, -29972, -35767?\n\"Answer: 2*r**3 + 12*r**2 - 6109*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 107 + 116 + 2*n**2.\nAnswer: -3*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4 - 2*w + 4*w - w. Let c be m(-3). Let z(y) = 31*y - 1. What is the tens digit of z(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbcataj. Give prob of sequence aja.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*h - 6*h. Suppose -3*l + 3*t + 9 = h, -4*t - t - 15 = 0. Suppose l = g + 1 - 4. Solve 2*z + g*k - 3 = 2, 3*z - 2*k - 14 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 0.5, 1\/34, -4.\nAnswer: -4, 1\/34, 0.5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117 + 117 - 7*i)*(0*i + 2*i + 0*i).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsyysrpzsiyr. What is prob of picking 1 s and 2 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/5)\/(p\/p**(-2\/27))*(p\/p**4)\/p*p**(-17) assuming p is positive.\nAnswer: p**(-3088\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23182 is divided by 5103?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 11*w = -12*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(187) - sqrt(187)*-3) - sqrt(187))\/((sqrt(264)\/sqrt(6))\/sqrt(4)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10363.\nAnswer: 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j**(1\/5)*j))*j)\/((j\/j**5)\/j))\/(((j*(j\/(j*j**(6\/7)*j))\/j)\/j)\/(j**4*j)))**(7\/5) assuming j is positive.\nAnswer: j**(527\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13306 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, -1177.\nAnswer: -1177, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let m(j) = j + 1. What is the lowest common multiple of s and m(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/3))**(-2\/23))**(-4\/17)*(h*h*h**(1\/2)*h*h)**44\/(h**(-6)*h\/h**(-3)) assuming h is positive.\nAnswer: h**(234608\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/15, -0.1, 5, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 35, 25, -9, -73, -173, -315?\n\"Answer: -z**3 - 3*z**2 + 24*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10703, 41751, 93153, 164915, 257043, 369543, 502421?\n\"Answer: i**3 + 10171*i**2 + 528*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.203, -0.0619, 1, -4, -3 in decreasing order.\nAnswer: 1, 0.203, -0.0619, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 17 - 15. Let l be m\/6*45\/(-20). Let z = 13 - l. Solve -z*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15214\/45 + -253003\/360. Let p = r - -1043. Let k = -9570 - -95621\/10. Find the common denominator of p and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*s = -4*s + 158, 131 = -2*o - 5*s. Let v = 76 + o. Suppose n - v = 2. Solve u + n - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/150 - w**4\/30 - 26*w**3\/9 - 112*w**2\/5 + 36*w + 8. Find p, given that t(p) = 0.\nAnswer: -8, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 4*o + o)*(2*o**2 + 5*o**2 - 5*o**2) + 12*o - 4 + 2*o**3 - 5*o + 6 to the form f + y*o + t*o**2 + u*o**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 14*k**3 + 115*k**2 - 1310*k + 561 - 161 + 69*k**2 + 142*k**2 - 6*k**4 = 0.\nAnswer: -8, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035754991 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-10 - (-6 + -13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665 divided by -1139?\nAnswer: -1665\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -620952*j**2 + 518*j + 13.\nAnswer: -1241904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (3 - 4)) + -3 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 14*l**2 + l + 18. Let a(n) = -2*n**2 + n + 7. Let j be a(-3). Let f be q(j). Let b(t) = -t - 1. Let i(c) = 2*c + 4. Determine f*b(h) + i(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-370)*65\/52*24\/(-60)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417*i - 408*i = 194715. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6577432 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 0 + 29 + -34 + 2 + -7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 901016\/57 + -15808. What is the common denominator of -10\/3 and a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*((-2*sqrt(95)*-4 + sqrt(95) + (-3*sqrt(95)*2 - sqrt(95)) + sqrt(95))\/(((sqrt(140)*-2 - sqrt(140))\/sqrt(4))\/(sqrt(112)*2)))**2.\nAnswer: -14592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-294)*((-51)\/6 + 1)*(-2486)\/(-565)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 take away 0.0113?\nAnswer: 711.9887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -310, -715, -1290, -2035, -2950?\nAnswer: -4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = y + 269, 0*y - 2*y - 4*m - 490 = 0. Let u = 385 + y. Suppose 0*b - 4*b + u = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32 equal to 11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 33*k - 219. What is q(-39)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y + 3 + 212*y**2 - 3 - 215*y**2.\nAnswer: -3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1001?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 779, 774, 767, 758?\n\"Answer: -j**2 - 2*j + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*y - w, 6*y = 2*y + 5*w + 51. Let p(b) = 2*b**2 - 39*b + 8. Let o be p(19). Let c = o - -44. Calculate the remainder when c is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210248 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000304 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 27*x**4 + 1 - 23*x**4 + 162*x**4 + x**2 as m*x**3 + y*x**4 + j + i*x + b*x**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147401.2 kilometers to centimeters.\nAnswer: 14740120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 74?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, -1352, -5519, -13880, -27833, -48776?\n\"Answer: -233*v**3 + 260*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 7*g**2 + g. Calculate o(-6).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28196, 56445, 84734, 113063, 141432, 169841?\n\"Answer: 20*y**2 + 28189*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -188. Round w to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264736023 is divided by 2043?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675 times -67.3?\nAnswer: 112727.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6)*0)\/(-3). Suppose 36 = u - y. Let d = u - 8. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**5 - a**4 + a**3 - a + 1. Let b = 13 + -8. Let t(h) = 3*h**5 - 5*h**4 + 7*h**3 - 5*h + 5. Let c(n) = b*y(n) - t(n). Factor c(x).\nAnswer: 2*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 32. Let n(q) = -q**3 + 3*q**2 - q - 3. Determine n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398395057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8632.19 to the nearest 10.\nAnswer: -8630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/21 and -28\/16113961.\nAnswer: 338393181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.6483206 - 22.18829374. Let d = -2.46 + l. What is d rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176870 - 180*m**2 + 176810 + 64*m**2 - 7*m**3 - 169*m = 0. Calculate m.\nAnswer: -15, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 31*n + 1. Suppose -4 = -4*g + 4. Let k be w(g). What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -4 (c) -25\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14456 (base 14) to base 3\nAnswer: -2112221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82885811559 minus 10?\nAnswer: -82885811569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/18)\/(4\/(-3)). Let c(x) be the second derivative of -2\/3*x**3 - 2*x + 0*x**2 + 0 + h*x**4. Suppose c(q) = 0. What is q?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (4 - (10 - 13))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2389*h + 257*h**3 - 2389*h.\nAnswer: 257*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 21*y - 135. Let d be z(6). Suppose -b = 2*a - 37, d*b - 25*b - 50 = 2*a. Calculate the remainder when 38 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 24 = 0. Suppose 0*b - 20*b + 93 - 13 = 0. Suppose -2*u = -13 - 5. Solve u*v - b = r*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11420303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + 4*l + 2*l - 79 + 0*l + 214.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -13, -171 in ascending order.\nAnswer: -171, -13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 - 1149*6\/720 and -89\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 42 + 110 - 39 - 29 + 4*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 10*x**2 + 8*x - 41. Let t be j(5). Let c(y) be the third derivative of -251*y**4\/12 + y**3\/6 - y**2. Is c(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 570?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15738842 + 15738426.39986. Let z = y + 415.7. Let h = 0.1 - z. What is h rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 2. Suppose 0 = 10*s + 4 - d. Suppose 0 - 3*l - 3\/4*l**5 - 39\/4*l**s - 9\/2*l**4 - 9*l**2 = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 37 = 9*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*a - 8 = 0, 2*a + 11 = 3*f + 3*a. Let p be (4 - 2) + 0 + 1. Suppose p*v = -n + 24, -f*n = n + 3*v - 96. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 2\/687, -0.3 in decreasing order.\nAnswer: 10, 2\/687, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 22. Suppose m*z - 9*z = 0. Suppose 4*x + 0*x - 48 = z. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2288791\/163 or 14043?\nAnswer: 14043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 7*r**2 - 3*r - 1. Let o be q(-7). Solve -5 = 5*k + o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 666247*p**2 - 16*p + 112. Let r be s(4). What is r rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 28*q**3\/5 + 162*q**2\/5 + 114*q\/5 + 4 = 0.\nAnswer: -5, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 431119?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 174250825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, 20, 168, 316, 464?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187.297 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*x**3 - 1060*x**2 + 524*x**2 + 535*x**2 + 3*x as p*x**3 + f + d*x**2 + k*x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - -2) + 240\/14*532\/(-152)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ae (base 16) in base 13?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 - 52542*h - 210216 = 0?\nAnswer: -4, 17518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-3\/7))**(-2\/73) assuming c is positive.\nAnswer: c**(-22\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**5 - 182*q**3*r**3 - 1310*q*r**3 - q*r**2 - q*r wrt q?\nAnswer: 80*q**3 - 1092*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 + 2. Let m = 69 + -69.2. Put m, -2\/7, b in descending order.\nAnswer: b, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 189\/(-11) - (88 + -101) and 157\/756.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 60 = -3*q, 0*a + 4*a = 5*q - 95. Suppose -w + 216 = 2*t, -5*w - q - 5 = 0. Suppose -5*i + 90 + t = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(102)*2 - sqrt(102)) + (sqrt(102) - 5*1*sqrt(102)))*6)\/(-5*sqrt(6)*1 + sqrt(66)\/sqrt(539)).\nAnswer: 147*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -3*i**2 - 7*i + 7. Let p(s) = -7*s**3 - s**2 + 2*s - 1. Let u be p(1). Does 12 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from fffffttf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-28595)\/798 - 3\/(-18).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6684 + 6392.1. Let n = a - -314. Round n to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78803, -157955, -237459, -317315, -397523, -478083, -558995?\nAnswer: -640259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, y: 6}. Give prob of picking 1 c and 2 y.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.059, -5\/3, 9\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -45, -0.2, -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, 13, 2, 3.\nAnswer: -32, 2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 15*u**3 - 2 + 5*u**4 - 3*u**4 + 14*u**3 to the form a*u + o*u**2 + f + j*u**3 + b*u**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a + 6. Let c be w(-4). Let u = 6 - c. What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -429*o - 1350. Is x(-10) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 25*g. Let m be h(1). Suppose -m*s + 260 = s. Let z = -2 + 6. Solve z*a = f - s, 5*f = -0*a - 2*a - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(3\/4))\/b)\/b)\/(b**0*b)*b\/(b**(-1)*b)*b*b*b*b\/b**4)**(20\/7) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/162 and -101\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from qqxxxrxxqxqqqqqqqq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19640 divided by 5?\nAnswer: -3928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**3 + 6. Let m(z) be the first derivative of -100 + 4\/3*z**3 + 0*z**2 + 0*z. Determine y(m(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 151*j - 151*j)*(0 - 5 + 2)*(1 - 2 + 2)*(-735 + 406 + 371)*(2*j + 4 - 4).\nAnswer: 1008*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 92358.1 * -0.439\nAnswer: -40545.2059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/((-3)\/(-3)*8\/((-1088)\/(-102)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 + 6*f - 7. Let m be g(4). Let l be (0 - (m + -1)) + 0\/10. Solve 5*n + l*n - 4*a = -45, 0 = -2*n - a - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/((-29)\/((-4350)\/80)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -95\/6, 2\/9, -0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -2\/13 (b) -0.1 (c) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 1. Suppose 0 = 3*n - 2 - 10. Suppose -v = n*z - 16, -30 = -5*v + 4*z + z. Calculate the lowest common multiple of s and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 167 = 677. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51204 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44723 is divided by 2630.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 + 3*n**2 + 35*n + 23. Let x be s(-7). Let z be 441*2*13\/8. Let h = x + z. Calculate the common denominator of -17\/11 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1374, -5, 23.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1. Suppose t = -2*p - p + 2, -5*t - p = -10. Let y(i) = -3*i - 4. Let g(d) = -4*d - 3. Let q(o) = t*g(o) - 3*y(o). Determine q(a) - 6*z(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051120923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 0*c - 8*c - 3. Let m(p) = -p - 1. Determine 4*l(g) - 10*m(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 123*g**5\/5 + 721*g**3\/3 + 1. Find the third derivative of r(s) wrt s.\nAnswer: 2952*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/42)\/(3\/(-9)). Which is the biggest value? (a) -1 (b) 2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313216, 1252911, 2819070, 5011693, 7830780?\nAnswer: 11276331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150162317?\nAnswer: 37, 353, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t + 2*t. Solve -4*v + 3 + 1 = t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 42. Let m(b) = -5*b**4 - 3*b**3 + 8*b**2. Let j(z) = -3*z**4 - 2*z**3 + 5*z**2. Let s(n) = l*m(n) - 8*j(n). Factor s(r).\nAnswer: -r**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2754)*-2 + sqrt(2754) - sqrt(2754) - sqrt(2754))\/sqrt(200))**2 + -3.\nAnswer: 12093\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 + 186. Which is the biggest value? (a) 29 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*m + 6. Solve 0 = 4*v - 12, -m*s - v - 3*v + 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3799\/377 + 1196\/(-169) + 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*l - 2*k**2*l**2 + 994*k*l + l**2 + 4152 wrt k.\nAnswer: 3*k**2*l - 4*k*l**2 + 994*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and 23.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - ((-74 - -60) + -1 + 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(468) + -1))**2 - (-2*sqrt(468) + -4) - (-2 + sqrt(468) + -1 + (sqrt(468) + -2)*1))*-3.\nAnswer: -5655 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19718 + 394241\/20. Suppose 2*w + 27 = 81. Calculate the common denominator of (-9)\/(-48)*132\/w and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110251605 (base 7) to base 14\nAnswer: -c49c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 149. Let k(g) = -g**3 + 13*g**2 - 18*g + 16. Is k(v) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -3.241. Let o = 0.041 + k. Let u(g) = g**3 + 5*g**2 - 4*g - 2. Let x be u(-5). Put o, -1\/8, x in increasing order.\nAnswer: o, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27\/16 - -97\/48. What is the nearest to -1 in g, 1\/2, 16.9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 12. Give i(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 3*a**2 - 2*a + 7. Let l(d) = d**2 - 59*d - 767. Let c be l(-11). What is t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24632.9 + 0.383?\nAnswer: -24632.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*l = 13, 0*l = -2*h + 4*l + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 7 = -19*k. Let b(m) = 2*m - 18. What is the remainder when -5 + k + 13 + 1*10 is divided by b(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 23 - (12 - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49175 + 13?\nAnswer: -49162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 35 - 43. Is 61 a factor of (-40)\/260 + 4760\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018301597 rounded to four dps?\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1352*q + 622*q + 566*q as p*q + l and give p.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10319572 is divided by 10019.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 614058 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 129468940.\nAnswer: 2, 5, 17, 103, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -849 - -846. Let g(b) = -2*b**3 + 6*b**2 + 6*b - 3. Is 4 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Let l be ((-20)\/(-12) + 0)\/(94\/282). Solve u*x + 5 = 6*x - l*g, 5*x = -g - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 129, -37, -866 in ascending order.\nAnswer: -866, -37, -3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let u = 5 - -5. Suppose -7*i + u*i = 15. Give j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3\/r*r)\/r*(r**(-2\/5)\/r*r)\/r)\/(r\/r**(2\/7)*r*r\/(r*r**(-10))) assuming r is positive.\nAnswer: r**(-354\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1\/3, -1\/9, -0.026, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131267664 - 5?\nAnswer: -131267671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 80*o + 3. Give y(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 532*d + 11720. What is k(-22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1. Let s(r) = -2*r**2 - 22. Let y(d) = -44*q(d) - 2*s(d). Let u(o) = 11*o. Determine u(y(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o + 0*o)*(-o + o + o**2) + (-5*o**2 + 5*o**2 + 2*o**3)*(1 + 1 - 1) + 3*o**3 + 0 + 0 + 6*o**3 - 5*o**3 + 0*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 3*j = -5*k + 10, 2*k = 2*j + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let d be a(-2). Suppose 5*w + d*q - 33 = 0, 10 = w + q - 4*q. Suppose p + 2 - w = 0. What is the remainder when 14 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335.2 or 2?\nAnswer: 335.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94599 divided by 23?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2507 and -101\/1196?\nAnswer: 130364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-15))\/r)\/(r\/(r\/(r\/(r*r\/r**(-5)*r)))) assuming r is positive.\nAnswer: r**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1.3\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42484169?\nAnswer: 7, 13, 466859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697329 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 49 = -6*z. Suppose 0 = -4*q + z*q - 250. Let p be q\/16 - 30\/(-80). Solve -2*o = -2*b, -5*o + p = 3*b - 0*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.6*-3\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:53 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k**5 - 18290*k**4 - 12235*k**3 + 42710*k**2 - 12200*k = 0.\nAnswer: -2, 0, 1\/3, 1, 1220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18051 - 18048. Solve -3\/7*z**a - 6\/7*z - 9\/7*z**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*u = 112*u + 400*u + 276*u + 41616 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99703?\nAnswer: 179, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*d - 64*d + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -55232?\nAnswer: -2761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1*(-3 + 5) - -8 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.64 times 0.2?\nAnswer: -21.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3139918948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*105\/(-270)*((-32)\/(-14))\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19175654 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 - 7*g + 5. Suppose -p - p = -4*l + 2, -2*l + 22 = 2*p. Let a be b(p). Suppose -3*r = -23 + a. Solve v = -1 + r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p*t**4 + 2*p*t**3 - 1188*p*t**2 - 10*t**4 + t**3 - 19*t**2 wrt t.\nAnswer: -24*p*t + 12*p - 240*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4237, 5895, 7553, 9211?\nAnswer: 10869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 2. Let r(v) = -3*v + 3. Let i = 10 + -7. Let h be i + 3 + (-3 - -1). Suppose -d - 5 = -3*p - 19, 0 = 3*p + 2*d - 1. Calculate h*k(x) + p*r(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 2*t + 14. What is the remainder when p(4) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-1)*(7 - 5). Suppose -2*i - 4*v + 190 - k = 0, -340 = -5*i - 5*v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(68))**2 + sqrt(68) + 3 + sqrt(68)*-2 - (sqrt(1700) + (5*sqrt(1700))**2 + 5 + -3)) + -5.\nAnswer: -40056 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5360184422?\nAnswer: 2, 17, 7039, 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2*g - 8)*(3 - 3 + 2 - 4 + 0 + 2 + (-3 + 4 - 2)*(2 - 2 + 1) + 2 + 4 - 5 - 1 + 0 + 2)*(3*g + 2*g - 2*g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, 1, -0.013, 8\/3745?\nAnswer: 8\/3745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 18*q = -6472. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678348817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -7 - -1) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/18 + 2\/(-3)*-193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4668 + 3112 = 0. Let j be ((-12)\/15)\/((-2)\/t). Let i = -1768 + j. What is i rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 59 = 5*y, 127 = 5*m - m + 3*y. Calculate the greatest common divisor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3772)\/12 + 3)\/((-29)\/1914)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25963 - -56757. What are the prime factors of k?\nAnswer: 2, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 156*k**2 - 155*k + 783. What is b(79)?\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (-2 + 24 + -29 + 32).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 59*c**2. Let k(m) = 62*m + 2. Give k(t(r)).\nAnswer: 3658*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and 0.3.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3136*i**3 + 101472*i**2 - 1015716*i + 2933780.\nAnswer: -4*(i - 5)*(28*i - 383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + -10 - -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1376\/(-56))\/(-2) + (-4)\/14. What is the third derivative of -38*g**2 - 104*g**6 - d*g**3 + 3*g**3 + 101*g**6 wrt g?\nAnswer: -360*g**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4238326648.00000679 + -4238325900. Let o = -748 + c. What is o rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -2)\/14*(10 - 0). Let w = 69 - 68.966. Let q = w + 0.466. Sort q, c, 0.2 in increasing order.\nAnswer: c, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 12*j - 16. Let r be f(14). Solve 2*k = -4 + r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/120 + 7*s**5\/30 + 13*s**4\/24 + 35*s**3\/6 - 2*s**2 + 66*s - 10. Give j(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:22 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-1)\/(-2)*2. Let l be 16 + (-3)\/(-2)*-2. Suppose -2*m - m + l = -o, o + 23 = 5*m. Sort o, t, 4 in increasing order.\nAnswer: t, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2993\/3 - 990. Is z greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8720992 > 8720989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -3) + 6\/(-8). Is t equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 61732*m**3 + 246884*m**2 + 308588*m + 123432 = 0. What is m?\nAnswer: -15429, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157*-0.3.\nAnswer: 47.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 67*n + 16. Let u be d(-19). Let a = 182 + u. What is the greatest common factor of 44 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 3. Let u = 19 - j. Solve 2*c - 3*m = -c, 2*c = u*m + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -612, -912, -1206?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221972 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1442321 (base 5) to base 3.\nAnswer: -1120110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-168) - (33 - (-1188)\/(-84)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q + 4 = -153 + 268 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-16) + (-51)\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**5\/45 + 29*f**4\/18 - 70*f**3\/9 + 127*f**2\/9 - 100*f\/9 + 125. Suppose x(i) = 0. What is i?\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 68, -0.2, -7, 6\/29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {n: 4, b: 1, t: 1, f: 9, s: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -152443892 and -0.3?\nAnswer: 45733167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1653 (base 9) to base 6\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-42) - (-2)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24111171829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 9*k**6\/80 - 7*k**5\/20 - 17*k**4\/36 - 2*k**3\/9 - 20*k**2. Factor o(b).\nAnswer: (b - 2)*(9*b + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 1 - (-2 - -1)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 129. Is 8\/9 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 334698\nAnswer: -100409.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 7) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, -16, -75, -160, -271?\n\"Answer: -13*v**2 + 6*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*c**3 - 68*c**3 + 150*c**3)*(9 - 12 + 11)*(0 + 2 - 1) as d*c + p*c**2 + x + b*c**3 and give b.\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640349.\nAnswer: 29, 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -32033?\nAnswer: 32030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 8355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 61879949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1341*r**3 + 4*r**2 - 930*r - 1 - 1319*r**3 + 932*r + 14*r**2 to u*r**2 + a + n*r**3 + j*r and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 - -1 - (0 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 42046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 21. Suppose -2*y = 2*a + 3*a - 114, 0 = 4*y - 8. Calculate the least common multiple of a and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.44046mm in centimeters?\nAnswer: 8.144046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7819999 or -7820012?\nAnswer: -7819999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(72)\/sqrt(2) + sqrt(1296)*-1)\/((-3*sqrt(96) + sqrt(96))\/sqrt(8) - ((sqrt(240)\/sqrt(5))\/sqrt(4) - sqrt(12))))**2 + -2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1809 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 18702270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -2035.\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70360582 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011110010011 + -1?\nAnswer: -101011011110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.09, 0.03, 0.5, 1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 503, -378, -1859, -3946, -6645, -9962, -13903?\n\"Answer: -v**3 - 294*v**2 + 8*v + 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33986*d**4 - 6685*d**3 + 138663580*d?\nAnswer: 407832*d**2 - 40110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7356542 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g - 3. Calculate the remainder when v(-2) is divided by ((-352)\/(-64))\/(1\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24*6\/(-2))\/((-340)\/(-816))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312912.8 minutes in hours?\nAnswer: 21881.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 97*m + 1557. Let c be i(-14). Are c and 198 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356*d**2 + 2419 - 4835 + 2422 + 4*d wrt d?\nAnswer: 712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*k - 1559, 7*k + 3 = 4*k. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/20 - p**3\/3 + 3*p**2. Let i(d) = -d**2. Let n(s) = 7*i(s) - 2*o(s). Give n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 35\/(-25) - 4. What is the closest to -1\/4 in 2, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 127 - 323. Suppose 3*v - 47 - 22 = 0. Calculate the remainder when a is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*q - 2 = 0, 2*h + 3*q = 5*q - 2. Suppose -2*d = 3*b + h*b + 33, 4*b - 3*d = -31. What is the common denominator of (-45)\/b*(-21)\/6 and 31\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5 - 6 - 4*s + 6*s**2 + 5*s. Let f be z(2). Calculate the greatest common factor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25073.\nAnswer: 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 20. Suppose -2*w - 2 + f = 0. Suppose w*c = -0 + 4. Put c, 3, -3 in increasing order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 + 39305*h + 627605. What is k(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -564 + 566. Solve -5*g - 3*o - h = -2*o, -g = -5*o + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 - 9*f**2 - 11. Suppose 457 = 31*o - 4844. Let q = -175 + o. Let g(b) = 2*b**3 + 5*b**2 + 6. Determine q*v(w) - 7*g(w).\nAnswer: 2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from xjdlcjvddlld?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5244)\/58)\/(-6) + 6\/(-87). Are f and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + -24. Let f = x + 80.6. Round f to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 + 6. Let b(o) = -2*o**2 + 108*o - 101. Let f be b(53). Sort s, f, -0.3 in increasing order.\nAnswer: s, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.3 - -113.4. Let o = u + -449. What is o rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -236, -347, -458?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12721*n + 48311 = -72506 - 68646 - 166725 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1254343 (base 7) to base 8.\nAnswer: -501722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 11*p + 16. Let q be h(-13). Is (-34)\/85 - 1494\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21523.9539998 + -21525.954. Let v = y + 2. What is v rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*s + 46 = -k, -3*k + 2*s + 30 = 0. Let w = 11 - 7. Factor -k*n - w*n**2 + 11*n + n**2.\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a574 (base 15) to base 13\nAnswer: -12c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 1a4?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2 + 197691*v.\nAnswer: -3*v*(3*v - 65897)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 14. Let x be j(6). Let a(p) = 48*p**4 - 48*p**3 - 27*p + 27. Let k(c) = -7*c**4 + 7*c**3 + 4*c - 4. Let h(r) = x*a(r) + 27*k(r). Factor h(d).\nAnswer: 3*d**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -959851*w**2*x**2 - 5*w**2 + 2*w + 168*x**2 - 63692216 wrt x.\nAnswer: -1919702*w**2*x + 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {m: 6, u: 7, p: 6, x: 1}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-324)*6*-6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 1. Let h be (8\/(-10))\/((-31)\/155). Let s(t) = t - 1. Let w(f) = 2*f - 3. Let y(a) = -4*s(a) + w(a). Calculate h*p(x) + 5*y(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*m + 3 = 0, 59*u - m = 54*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyajq. Give prob of sequence oqy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p**2 + 58*p - 9. Let i be a(2). Solve -4*t + 25 = 3*c, -i = -59*t + 58*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l. Let p(w) = 0*w - w + 0*w - 9*w + 8*w. Give o(p(m)).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 7 + 1. Let s be (-2)\/h + (-207)\/54. Are s and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266894039*d**2*t**3 + 323*d**2*t - 372693*d*t wrt t.\nAnswer: 1601364234*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c + 48. What is the remainder when w(-24) is divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3667.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 53\/(3339\/(-294)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:13 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/2 - (-4)\/(-8). Suppose -4*c - 3*l + 5 = 0, u*c - 1 = l + 8. Suppose -c*w = w - 54. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**4 + 2*k**3 - 6*k - 2. Let q(j) = j**4 + j**3 + j - 1. Let s(v) = -h(v) + 2*q(v). Find the second derivative of s(w) wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -x - 3*x. Let j be (-80)\/x - (-4)\/(-22). Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34387 and 1.\nAnswer: 34387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188 divided by -594?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88656 and 2212706.\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, 8, 1\/2, 5, 4.\nAnswer: 0.33, 1\/2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23072, 91831, 206434, 366887, 573196, 825367, 1123406?\n\"Answer: o**3 + 22916*o**2 + 4*o + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - b - 4 = -2*q, 0 = 5*q - b - 20. Suppose -18 = -i + r, -q*r = 2*i - 26 + 8. Solve -i = -5*z + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k - 7. Let q be x(-3). Let j = 7 - 4. Let y be 2\/j + 4\/3. Is q != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 s when four letters picked without replacement from gsugnuuguussu.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + -1 + 4 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 163, 126, 89, 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4 + 6. Suppose 3*l - 18 = -3. Let w = l - x. What is the nearest to -2\/5 in 0.5, w, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l**2 - 89*l - 13. Determine v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -53. Suppose 5*w + p = 2, -x*p = w - 2*w - 8. Suppose w = -6*o - 8*o + 112. What is the lowest common multiple of o and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 72 = 9. Solve -1 + o = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -30. Which is the nearest to 0? (a) 0.2 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611625 is divided by 35977?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 0*h**2 - 2*h**2 + (-1 + h + 1)*(-14*h - 7*h + 3*h) - 6*h**2 + 2*h**2 + h**2 in the form r*h + u*h**2 + q and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*a**2 - 785*a**2 + 982*a**2 + 1974*a**2 + 1541*a**2 as p*a**2 + z + g*a and give p.\nAnswer: 3645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 32. Let d(r) = -r**3 + r**2 + r + 2. Let p be d(-3). Calculate the highest common factor of z and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r - 6. Let u be s(3). Suppose t - u = -2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 848 + -6785\/8. Which is the third smallest value? (a) -45 (b) -5\/2 (c) h (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4 + 8. Sort 4, b, -1 in decreasing order.\nAnswer: 4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Let v = -6 + 10. Find the second derivative of 0*w**b - 2*w**5 + 0*w**v - w wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20228, 20729, 21230, 21731, 22232?\nAnswer: 22733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 35*x**2 + 73*x - 559. Let c be b(39). Which is bigger: 8373 or c?\nAnswer: 8373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26739 or -26657?\nAnswer: -26657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppon.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1746811527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-11*p**2 + 14*p**2 - 1 - 2*p**4 + 3).\nAnswer: 2*p**4 - 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1515643*w**2 - 1515643*w**2 - 218*w**4 + (w**3 + 0*w**3 - 3*w**3)*(-w + 2*w + 0*w).\nAnswer: -220*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 3233033213?\nAnswer: 3233033202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 14) to base 11\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)\/(u\/(u*(u\/(u**(10\/7)\/u))\/u*u))*u*u\/((u\/(u\/(u\/((u**(-9)\/u)\/u))))\/u*u*u*u)*u**(-33))**18 assuming u is positive.\nAnswer: u**(-7488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 7*o**3 + 10 - 12.\nAnswer: 7*o**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2552 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a day in hours?\nAnswer: 828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((1 + sqrt(171) + sqrt(171))**2 - sqrt(19)) + -3 + sqrt(19) + (sqrt(19) + sqrt(19)*-1)**2) + -4*3*sqrt(76)\/sqrt(4)*5.\nAnswer: -3410 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.846 and 383.47465?\nAnswer: 384.32065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3376*s**2 + 6200*s**2 + 1900*s**2 to g + m*s + k*s**2 and give k.\nAnswer: 11476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from uxmduumu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/8)*i)\/(i\/(i*(i*i\/i**(-25\/4)*i)\/i)))\/(i**1\/i**(-15\/4)) assuming i is positive.\nAnswer: i**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.81 - 1.41. Let f = -13238.25 + 13238.850021. Let d = w + f. What is d rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34 and -158.26.\nAnswer: -192.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8 and -57\/328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3295 - -3295.3. Which is the fourth biggest value? (a) 0 (b) r (c) 8 (d) -3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Suppose -q*m + 80 = 2*j, -3*j - m + 91 = -34. Is (j\/(-3))\/((-1)\/1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16294 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6 - 4 - 1 - m. Let n(p) = -6*p + 6. Let b be 10\/(-35) + (-37)\/(-7). Suppose -72 = b*t - s, -t - 3*s - 4 - 4 = 0. Calculate t*l(u) + 2*n(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.06736ml to litres.\nAnswer: 0.00006736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 674081 and 1203?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, j: 4}. What is prob of sequence zz?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*k, -24 = 5*p - 9. Suppose -j + 379 = k*d, -5*d + 631 = -0*d + 2*j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**23))\/(p*p**10)*p**(-11)\/p**(-8\/13) assuming p is positive.\nAnswer: p**(8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 363 + -319. What is the greatest common factor of 44 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -47, -67, -87, -107, -127?\n\"Answer: -20*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 6, z: 1, k: 3}. Give prob of sequence kz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**4 - 92*d**2 + 188 wrt d.\nAnswer: 12*d**3 - 184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 916695510*b - 1149889217 wrt b.\nAnswer: 916695510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - -76.5. What is the smallest value in t, -2\/15, 6, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 762515591 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -14. Suppose -5*l + m = -5. Suppose l*d - 74 = -2*d - 2*c, -c = 3. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 12 = -14*o. Let r be (3*1\/(-12))\/(12\/(-80)). Put r, o, 1 in ascending order.\nAnswer: 1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-56)*2\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*h + h. Suppose 7 = 3*i + 4*w - 0, -h = -5*i - 3*w. Calculate the remainder when 8 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 0*k**2 - 5*k**2)*(-15*k - 18*k + 15*k) - k**3 - 4*k**3 + 4*k**3.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 649, 650, 651, 652, 653?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -9*m + 4*m - 35, 3*b - 3 = 3*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 772 divide 6871572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 15 = -14*c. Let b(v) be the second derivative of 0*v**c + 2*v + 0 + 1\/3*v**4 - 1\/6*v**3. Find the second derivative of b(f) wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:45 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*t = 382*t + 232 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -347*f. Let j(s) = -2*s**2. What is g(j(i))?\nAnswer: 694*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:30 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + d + 14, -14 = -3*z - 2*d. Let p(a) be the third derivative of a**3\/6 - a**2. Let j(u) = 2*u - 7. Calculate z*p(g) + j(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644185103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4376?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1855*y**3 - 619*y**3 + y**2 - 621*y**3 - 613*y**3 - y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736.4206 centuries to months.\nAnswer: 883704.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 20 = 0. Suppose -2*d - 2*d + 2*z + 22 = 0, 2*z - 26 = -4*d. Let g be (d\/(-8))\/((-2)\/40). What is the greatest common divisor of i and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/5 in -0.26, -15, -0.08, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7*h + 83 = 2*h + 4*h, -167*h = -2*u - 170*h - 67 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 3*f + 2*f)*(-3*f - 2*f + 2*f) + (1 - 1 - 2*f)*(640*f - 415*f + 463*f) to the form w*f**2 + s + u*f and give w.\nAnswer: -1373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1248 and 20474064.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g + 618*g + 341*g = -60192 for g.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 11. Let n = 22 - s. What is the remainder when 53 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, f: 19}. What is prob of sequence ffff?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o - 3*y + 18 + 5 = -108*o + 20, 0 = 8*o + 6*y - y - 73 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by 475.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let w(h) be the third derivative of h**5\/6 + 7*h**2. What is w(y(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 27 - (-1 - -3) - (7 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*x + 247 + 219 = -66 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z = -36*z + 40. Let k be (-44)\/(-10) - z\/(-10) - -5. Solve -4*d + k*d + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*q - 159*q = 5*y - 317*q + 19, -3*q + 0*q + 856 = -124*y - 6*q for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2000212111120 (base 3) to base 15\nAnswer: -165010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 - 54*t**2\/5 + 117*t\/5 - 12.\nAnswer: -3*(t - 1)**2*(t + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1197245, 1197281, 1197371, 1197539, 1197809, 1198205?\n\"Answer: 4*l**3 + 3*l**2 - l + 1197239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4966590577.\nAnswer: 13, 113, 3380933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(((-40)\/42)\/(-10)). Suppose -24*c + k*c = -693600. What is c rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/720 - j**5\/60 + 3*j**4\/8 + 2*j**2. Let c(h) be the second derivative of r(h). Give c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1290*h**3 + 937*h?\nAnswer: 7740*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -2. Suppose 0 = 4*j - 27 - b. Suppose 0 = 4*f - 2*z - 112, z + 61 = 4*f - 55. What is the greatest common factor of f and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)\/(((k\/(k\/(k\/(k\/(k\/(k\/(k*k**(-2\/9))*k))))))\/k)\/k))\/(k\/(k*k\/(k\/(k\/(k**(-6)*k))*k*k))*k**(21\/2)) assuming k is positive.\nAnswer: k**(-419\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(567) + -1 + sqrt(567) + -2 + -1)*1 + -3))**2.\nAnswer: -6048*sqrt(7) + 82432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/94 and -47\/8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 160037 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-7) + -9 + 242\/14 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b + 2. Let u be t(2). Let q be (-4)\/(-2 - u\/4). Suppose 0*m = -2*m + q. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61+1115125440\nAnswer: 1115125501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -519116.9 and -0.660904.\nAnswer: -519117.560904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121526971*d**2 + d + 34582804 wrt d?\nAnswer: 243053942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 15\/30)\/(0 + -3). Let s be (-2)\/(-7)*(-6)\/4. Which is the smallest value? (a) 0.3 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 4442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + (sqrt(76)*1)\/sqrt(4))*5 + -5)**2*-3.\nAnswer: -1428 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527, -9, -58 in decreasing order.\nAnswer: -9, -58, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*j**3 + 2*i**3*j**2 - 18*i**3 - 29*i*j**3 - 3*i*j wrt j.\nAnswer: -12*i**3 - 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12\/13 (b) 1\/4 (c) -0.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 32 = -2*y, -26*c + 30*c = -y + 38 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(88)*-1)\/((sqrt(1152) - (-5*sqrt(1152) + sqrt(1152))) + sqrt(1152)).\nAnswer: sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2 + 0 - (2 + 1)) + 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4789 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 11*c**2 + 3*c - 9. Let w be d(-6). Suppose w*a - 10*a = -8. List the prime factors of a + 67 + (0 - 1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -3960401.\nAnswer: -3960400.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*b - 14 = 0, w + 5*b - 1 = 6*b. Solve 0 = -5*t + 4*m - 0 - 4, w = -3*t + 2*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653490 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 + 3*v + 1. Let h(y) = 0*y**2 + 0 + 6*y**2 - 1 + 2. Let u be h(1). Suppose -q = -2*x - 1 - u, x + 4 = -5*q. Calculate o(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31523130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/39 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264 - 195. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + 1b88c?\nAnswer: 1b8db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 3*d**4\/8 - 6*d**3 + 154*d**2. Let a be j(4). Let f(k) = -k**3 + k**2 + 4. Give f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + j**3 - 3 + (-4*j - j + 3*j)*(-j**2 + 0*j**2 - j**2) + 0*j**3 - j**3 + 2*j**3 + 0*j + 7*j**3 + 0*j + (j**2 + 3*j**2 - 5*j**2)*(-5*j + 3*j + 3*j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11100000 (base 2) to base 9\nAnswer: -268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (-86 - -20) + -59.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 580.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 3\/7, -2.09, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 10, x: 1, k: 2, d: 2, o: 2}. Give prob of picking 1 z, 1 k, and 1 d.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -19*q + 9. Let d = 63 - 48. Suppose 0 = d*p - 8*p + 70. What are the prime factors of z(p)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = t + 10*r - 6*r, 2*t - r = 793. Let z be (-1)\/(2 + (-885)\/440). What is the greatest common divisor of t and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - i + i)*(-i**2 + 4*i**2 - 4*i**2)*(322*i + 160*i + 53*i).\nAnswer: -1070*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 527, 791, 1055?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*d + 7 = 0, -5*f + d = -26 + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 464 + 1576. Calculate the lowest common multiple of a and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/9)\/(x*x*x**2\/x))**(-48))**(-1\/29) assuming x is positive.\nAnswer: x**(-416\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*n - 54*x + 57*x, 13*x = -4*n - 43 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -99. Let n = 43 + r. Are 3 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43514836, -43514834, -43514832, -43514830, -43514828, -43514826?\n\"Answer: 2*r - 43514838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.48 from -22805.\nAnswer: -22803.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 19 + 17 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 18 - 7 = 0. Solve -6 = -5*q + n*k - 41, 3 = q + k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w + 20 = 5*x + 61*w, -x + 4*w = -9. Solve 4778 = x*v + 4803 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - d - 8. Does 16 divide c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -65*h - 17. Let r(t) = 11*t + 3. Determine 6*a(f) + 34*r(f).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17134 - 17134. Let h(y) be the third derivative of 1\/8*y**4 + 0 - 19*y**2 + 0*y + v*y**3 - 7\/30*y**5. What is the second derivative of h(o) wrt o?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*b - 350, -4*k - 48 = -b + 22. Suppose 4*a = -a + b. Suppose -a + 2 = -t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1862\/5, 1\/2, -6027?\nAnswer: 1862\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-18)*-2)\/((-128)\/96).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/23 (b) 5 (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83587802.\nAnswer: 2, 19, 29, 101, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 47*d**4 - 17*d**3 - 17*d - 29. Let k(h) = 8*h**4 - 3*h**3 - 3*h - 5. Let a(v) = -34*k(v) + 6*p(v). Find the first derivative of a(m) wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**8\/70560 + c**6\/2520 + c**5\/20 + 3*c**2. Let q(g) be the third derivative of a(g). Factor q(t).\nAnswer: -2*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/64, -345, 1267?\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c*c**(1\/5))**(2\/59)\/(c**(-4\/9)*c\/c**(2\/9)*c)**(-5) assuming c is positive.\nAnswer: c**(17788\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (921 - 921 + 92*o)*(6 - 3 - 1)*(-7 + 1 + 2).\nAnswer: -736*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w - 5. Let k be s(2). Suppose -2 = 5*n + k. Sort -8, n, 0 in decreasing order.\nAnswer: 0, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54188896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 78. Calculate the highest common factor of 34 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u**3 - 52*u**3 + 34*u**3 + 69*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*((-2 + 3*r + 2)*(-3 + 0 + 2)*(1 + 2 - 2) + 49 + 22*r - 49).\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2915884ng to grams.\nAnswer: 0.0000000002915884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239491 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 + 155. Calculate the common denominator of 4\/(-31 - 5) - 586\/72 and 802\/x + (-10)\/25.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/3 - d**3\/2 - 3*d**2. Let g(v) = v**2 + v. Let c(r) = g(r) - i(r). Determine c(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, 1 u, and 1 r when four letters picked without replacement from {s: 1, u: 2, i: 1, f: 3, r: 3, o: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -80 + 776. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = -46805 - 217351 - 668881. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/4 - 8*h**3\/3 + 7*h**2\/2 - 3*h + 2. Let w(m) = 7*m + 14. Let j be w(-1). Determine u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 32*p + 15*p - 20*p. Let m(u) = 16102*u**2 - 581. Let f(t) = -83*t**2 + 3. Calculate p*m(y) + 581*f(y).\nAnswer: 83*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = 0. Suppose 2*b + x*b - 4 = 0. Solve 2*v - 5 = 3*v + b*o, 13 = -5*v - 4*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:02 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*s + 21, -2*z + 2*s = -4 + 16. Let o(v) = 2*v**2 + 4*v - 2. Let h(q) = q - q + q + 0. Suppose -2*y + 3*y - 5 = 0. Give y*h(c) + z*o(c).\nAnswer: -2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41780, 334286, 1128226, 2674316, 5223272, 9025810, 14332646?\n\"Answer: 41786*y**3 + y**2 + y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35552 and 8787.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 6:17 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381844 (base 9) to base 7.\nAnswer: -1651423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 28. Let s(m) = -3*m**2 - 17*m + 3. Let l(w) = -w**2 - 6*w + 1. Give h*l(u) + 4*s(u).\nAnswer: -u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/15)\/(-3*(-10)\/(-15)). Let a = 2.8 + -2. Let n = -90 + 89.8. What is the nearest to 0.1 in n, a, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Suppose n = 5*j - 16, 2*n - 5*j - 2 = -19. Let i(v) = -14*v + 13. Let h(m) = n*i(m) - 2*f(m). What is the first derivative of h(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -4\/11 (c) -3\/5 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 17, -2\/9, 28?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-4343747.\nAnswer: 91218687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264867049?\nAnswer: 19, 13940371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700 or 1\/2?\nAnswer: -700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -17\/15*s**5 + 2 - 19\/6*s**3 + 81*s**2 - 1\/24*s**4 + 0*s - 1\/120*s**6. Find the second derivative of j(w) wrt w.\nAnswer: -6*w - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/20 + s**4\/12 + s**2\/2 + 454*s - 4. Let u(a) = -16*a**3 + 2*a**2 + 2. What is 4*d(y) - 2*u(y)?\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 - -3) - (-1 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 7*i)*(3*i + 0*i - 2*i) as y*i + z + t*i**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384.9 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-2))\/((-16)\/32). Suppose -39*n + p = -38*n. Which is the third biggest value? (a) 0.1 (b) n (c) 0.8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/4*o**3 + 0*o + 0 - 1\/2*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 39. Calculate d(48).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-518)*-12*2*7\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 - -116722?\nAnswer: 116786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h)**(1\/41)\/(h**(2\/3)*h*h**(-5\/3)\/h*h*h) assuming h is positive.\nAnswer: h**(-38\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 15*v + 21*v - 154. Solve -2*d + h = -1, -v*h = -11*h + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*r + 120 = 0, 5803*r - 88 = 5*f + 5806*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -24)\/((-1 + -3)*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3.523 (b) 2\/3 (c) 1\/2 (d) -0.3 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5\/4 + 10341*h**4\/4 + 20673*h**3\/4 + 10335*h**2\/4.\nAnswer: 3*h**2*(h + 1)**2*(h + 3445)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213\/110 - 24\/55. What is the nearest to 2\/3 in p, -0.2, -0.7, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a651 (base 11) in base 8?\nAnswer: -617211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1c46?\nAnswer: -1c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7549.3892 rounded to the nearest ten?\nAnswer: -7550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2391 and 15.\nAnswer: 11955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:51 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f**2 + 13*f**2 - 46*f**2 - 27*f**2)*(-43*f**2 - 7*f**2 + 17*f**2) as r + j*f**3 + i*f + p*f**2 + c*f**4 and give c.\nAnswer: 1782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -71. Suppose -2*r + 5*l + 50 = 0, -3*r - 48*l + 12 = -45*l. Calculate the highest common factor of r and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/825 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(18)\/sqrt(576) + (sqrt(2) - (-4*sqrt(2) + 5))))**2.\nAnswer: -205*sqrt(2)\/4 + 2481\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttiell. What is prob of picking 1 t and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -542*u**4 - 2384*u - 152839841 with respect to u.\nAnswer: -2168*u**3 - 2384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/180 - w**5\/60 + w**3\/6 - 89*w**2\/2 + 110*w. Let j(o) be the second derivative of x(o). Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {l: 1, h: 2, t: 3, j: 5, q: 3, c: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/56 and 103\/340.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((120\/(-12))\/70)\/(1\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10952.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/42 - 4585493\/726. Let i = -44204\/7 - w. Find the common denominator of i and -13\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15516 - 5?\nAnswer: -15523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26449282 rounded to four dps?\nAnswer: -0.2645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161795, -325130, -488465, -651800, -815135, -978470?\nAnswer: -1141805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -23579\nAnswer: 94316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8267857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.03215.\nAnswer: -0.03215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - 180*a - 3*a**2 + 0*a**3 - 2 + 2*a**2 + 181*a in the form h + k*a + q*a**3 + d*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 5, i: 2, g: 5}. What is prob of sequence ibc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6945902519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 1. Let r(t) = -5*t**2 + 120*t - 20. Let w(n) = -20*h(n) + r(n). Find p such that w(p) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7 + 5*f - 3*f - f + 0. Let d be q(-4). Suppose -d*m + 5*s + 40 = 0, -4*m + 30 = s - 3*s. Solve -5*b - m = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165756.9 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -35*s**2 - 5*s + 7. Let f be o(2). Let r be (-403)\/f - (-4)\/22. Find the second derivative of -4*h + 3*h + 9*h**2 - h - r*h**2 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 17 - (1541\/(-81) - -39) - (-3 - -1)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*-2 + sqrt(156) - sqrt(156))\/(4*sqrt(12)*6 - sqrt(12)).\nAnswer: -4*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 45*q - 109. Let d be v(11). Which is smaller: 143 or d?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11480833?\nAnswer: 7, 13, 79, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (555\/(-140) + 4)*(31 + -27)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 139288 - 139288 + 1655*d in the form v*d + p and give v.\nAnswer: 1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.8053 decades in months?\nAnswer: 21576.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*l - 24 = 117*l. Let f be 231\/63 - (4 + l). What is the nearest to 1 in -136, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + h - 22732 = -332, 5*o = -3*h + 22400. Suppose 0 = m - 9*m + o. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 3*z**4 - 3*z**4 + (0 + 2*z + 0 + (2 + 0 - 1)*(z - 3*z + 4*z) + 0*z - 4*z - 2*z)*(-2*z**3 + 0*z**3 + z**3) + 16*z**4 + 1 - 1.\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - (97 - (129 + 108))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Let i = m - 0. Let n = -181 - -2717\/15. What is the smallest value in i, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3113, 8, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/56966 and 29\/1456.\nAnswer: 455728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.2454 and 217.\nAnswer: 213.7546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(181\/362).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((-4)\/(-4)) + 310\/52. Put 0.1, 2, j, 5 in decreasing order.\nAnswer: 5, 2, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 4. Let v be a(4). Suppose h + 120 = 6*h - 5*g, 2*h + 5*g - 13 = v. Let k = h - -2. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-10))\/(6\/705). Suppose -f = -4*t + 5*u, 4*t - 47 = 3*t - u. Let i = t + -11. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 9 + 18. Suppose 5*j - d = n - 0*n, 2*n - 6 = 0. What is the second derivative of v**2 + v - 2*v**2 + j*v**2 wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9948721.\nAnswer: 241, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*a - 7*a. Suppose -3*r + a = 5*i + 3, -4*i - 5*r - 12 = 0. Factor i*y**2 + 2*y**4 - 3*y**4 + y**3 + 0*y**3.\nAnswer: -y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/16)*(-38)\/(-76).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15141 = 5*j, -3*g - 15161 = -5*j - 7*g. List the prime factors of j.\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.494 times 68.5?\nAnswer: -33.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/14)\/(2\/(-14)). Let n(h) = 3*h**2 - 23*h - 18. Let b(d) = 5*d**2 - 35*d - 27. Let v(r) = p*b(r) - 8*n(r). Determine v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360498100 rounded to the nearest 1000000?\nAnswer: -1360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -38*w + 7. Let j(f) = -1. Determine -14*j(c) - 2*z(c).\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/1155 - 6*q**6\/55 + 91*q**5\/22 - 1225*q**4\/66 - q**2 - 1452*q. Factor s(t).\nAnswer: 2*t*(t - 35)**2*(t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -98?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 19*s**2 + 9*s - 6. Give t(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1800 by -120.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - (-50)\/6. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -104, 0.3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16028 and 28.\nAnswer: 112196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 20*n + 47. Let h be c(22). Suppose h*f - 5 = 10. What is the common denominator of 95\/56 and (-5)\/(-2)*(f - (-46)\/(-8))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/32 and -85\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.5 - 0.5. Let m = -111\/2 + 56. What is the biggest value in t, -1\/4, m, 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759162144 a multiple of 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + w - 102483 = 0, 36*w = -4*h + 40*w + 81972. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 1, a: 9}. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + (-95 - -107).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssossssssssso. What is prob of picking 2 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -86027806.2 - 2560.4\nAnswer: -86030366.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37935000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from {x: 5, d: 1, j: 3, p: 6, b: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v - 895 = -699 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17648620, 35297245, 52945870, 70594495, 88243120, 105891745?\n\"Answer: 17648625*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27*u - 41. Does 2 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(14\/3)*(b**(-1\/2)*b)**26 assuming b is positive.\nAnswer: b**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*h - 182*h - 180*h + 394*h to the form d*h + p and give d.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:30 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1240 - -1525. Solve z*i - 279*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose v*s - 8 = -2*s. Suppose -61 = -s*w - 5. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10694033 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 50736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 978*p**5 - 37*p**4 - 13*p**3 + p**2 + 315*p + 7608 wrt p.\nAnswer: 58680*p**2 - 888*p - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115207, -230411, -345617, -460825, -576035?\n\"Answer: -i**2 - 115201*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 2400160.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 3*i**2 + 2*i - 1. Let n(q) = 13*q**2 + 11*q + 1. Let m be n(-1). Suppose -5*z - 34 = m*h, -21*h + 20*h + 22 = -5*z. Calculate d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/209 and 49\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 233303.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - 4) + 3)\/(1\/12). Let o(a) = -2*a + 25. Let v be o(l). Let q = v + -14. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16193158 + -145030487\/9. Let n = -78851 + w. Let s = n + 192. Is 0 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Suppose -5*t + 5*u = -50, -2*t + 20 = -p*t - 5*u. Suppose -3*q + t*q - 134 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 22*n**2 - 2*n**2)*(156*n**2 - 156*n**2 - 76*n**3).\nAnswer: 1672*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 42*z - 130*z = -44*z + 195 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178481831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 342 = -12*i. Suppose -5*n + i + 3 = 0. What is the least common multiple of 22 and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c + 185. What is s(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12672 + -6816. List the prime factors of f.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 401, 1034, 1969, 3236, 4865, 6886?\nAnswer: 9329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 840716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295658467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.827544032 to three dps.\nAnswer: 0.828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2496\/120)\/(-13))\/(-1).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*f - 1243 = -f, f - 1 = 0. List the prime factors of l.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 750049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395 - -395.1. Is 65 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -554*t**2\/13 - 8394*t\/13 - 1260\/13 = 0.\nAnswer: -15, -42\/277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/5 - 11*w**3\/5 + 32*w**2\/5 - 28*w\/5.\nAnswer: w*(w - 7)*(w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0489 - -0.4511. Let q = 4 + -6. Let c = q + 4. What is the closest to 3 in c, z, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2466 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 c when three letters picked without replacement from cccccccncsc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Let q be a(3). Suppose 0 = 2*j - 84 + 82. Solve -2*i = q, 3*b + 4 = -5*i - j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/21)\/j*j**8\/j)\/(j**7\/(j\/(j\/j**(-1\/2)))))**(3\/29) assuming j is positive.\nAnswer: j**(-67\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3874, -1, 3, -4 in decreasing order.\nAnswer: 3, -1, -4, -3874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:09 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {v: 2, c: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 655012458 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1288 divided by 92\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = 5*v - 10, 5*y + 6 = 3*v. Suppose -v*l - 5*c + 63 = 0, -4*l + 91 = 11*c - 8*c. Calculate the remainder when 4\/(-1)*(-31)\/4 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 473263 and 373592?\nAnswer: 253668968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 12*c - 401 + 402.\nAnswer: -8*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2320\/15*9\/4. Let h be (438\/(-9))\/(1472\/j). Let o = -3\/23 - h. What is the common denominator of o and -137\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.4. Let i = 37 - 36.81. Let y = i - 0.59. Sort -2, l, y in descending order.\nAnswer: l, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -0.2. Let z = 37 - 38.04. Let j = i - z. Are 2 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -4 + (-3 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.5, -1\/3, -5\/6, -2\/9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 + 8\/3. Let l(b) = -b**3 - 3*b**2 - 27*b - 76. Let w be l(-3). Solve -a + 19 = -3*g, -w*a - n*g = -8*g - 45 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -12, -2, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2930 or 2496?\nAnswer: 2496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 91*x + x**2 + 11*x - 3 - 108*x. Let k be (-2 + 1)*-1*6. Let o(g) = g**2 - 4*g - 5. Let l be o(k). Calculate u(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 21, 11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/9)\/(3*(-8)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 482*o**2 - o + 1. Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6098 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*f**2 - 324*f**3 - 510*f**2 + 1668*f**3.\nAnswer: 1344*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.08 - 0.12. Let h = x + 0.04. Let q = 3.0032 - h. Round q to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, -7 in decreasing order.\nAnswer: 3, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 750 - 0?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*l**3*p*r - l**3*r - 4*l**2 - 8*p*r - p wrt l.\nAnswer: 132*p*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 175\/(-168) + (-18)\/(-48). What is the closest to 0.1 in -5, k, 1\/3, -2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4227 + 4321. Which is smaller: 159 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656707 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2066921776853 - 0.2.\nAnswer: -2066921776853.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 12031340?\nAnswer: 12031332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/3094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -38.4. Let q = r + 40. Let x = 1 + -2. What is the closest to q in x, -9, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 + -59 + 58 - -9) + 23.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide (-815 + -6)\/((-9)\/171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16574 by -25.\nAnswer: -16574\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 29 = c + c, 0 = 3*c + 3*g + 21 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 37*r**2 + 2*r - 77. Let n be f(37). Which is the nearest to 75? (a) 2 (b) -5 (c) n (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1100) - (-1 + sqrt(1100))) + sqrt(121)\/(sqrt(99)\/(sqrt(18)\/sqrt(2))).\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = -3*v - 3, 4*v + 34 = 3*a. Suppose -a = -3*p + 5*x, -x = -0*x + 3. Suppose 4*t + 5 = 3*t. Sort p, t, 5.\nAnswer: t, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 6*g + 9. Let d be b(-7). Let x = d + 1. Suppose 24 = 4*k - 4*v, -1 = -x*k - v - 3. Calculate the lowest common multiple of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:11 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-1)\/(-1) - 4). Let z be 108\/30 + k\/(-15). Solve -x - z + 1 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698918903.\nAnswer: 8231, 84913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -b + 5*b. Let n = 43 - 15. Calculate the remainder when n is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) 0.7 (c) 0.4 (d) 5 (e) -1\/191 (f) -5 (g) 5\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-3 + sqrt(19) - sqrt(19))*-1 + sqrt(19) - sqrt(19))*-6 + (-2*sqrt(76))\/sqrt(4)*-5).\nAnswer: -30*sqrt(19) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 4. Let h be 2 - 2 - -28*2. Suppose f*a = h + 6. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -616\/2481 - 157923127\/19848. Let m = s + 7968. Calculate the common denominator of m and -2*1*10\/144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -59. Suppose c - 29 = 5*k. Let j(o) = -3*o**2 - 79*o - 1 + 78*o - 3*o**k. Determine j(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -15. Sort 3, m, 0 in decreasing order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021102110 (base 3) in base 5?\nAnswer: -10143034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82\/4 - (-6)\/(-12). Suppose 5*t + r = -3*m, 8 = m + t - 3*t. Suppose 5*f - 170 = -m*f. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 249.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = 35*x + 59*x + 418. Let g(d) = -19*d**2 + 13*d - 7. Let h(u) = 9*u**2 - 6*u + 3. Determine x*g(a) - 13*h(a).\nAnswer: -3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Let a = 1 + n. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3514, -6998, -10482, -13966?\nAnswer: -17450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*(12 + -18). Suppose 0*g = -g - 2*p + 6, -q*g = 4*p - 32. Suppose -12*k + g*k = -66. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/((-87)\/580)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 4 - 4)*(6 - 1 - 1 + (-4 - 2 + 5)*(-2 + 3 - 3))*(15 - 5 - 9)*(4*j - 6*j + 0*j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88.35326 nanograms?\nAnswer: 0.00000008835326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -64*r**2 - 9*r - 4. Let h(a) = -63*a**2 - 7*a - 3. Let w(p) = -3*f(p) + 4*h(p). Let m(v) = -v. Determine w(m(s)).\nAnswer: -60*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 6. Suppose 10 = 3*a - 4*w - 9, 0 = -2*a - b*w + 7. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*a**2*z**2 + 23*a**2 + 9*a*z**4 - 7*z wrt z?\nAnswer: 36*a**2 + 108*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1110\/241 or 6?\nAnswer: 1110\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + 1354. Round b to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 8. Suppose -3*a = -4*a + t. Suppose 5*c = 2*o + 1 - 3, -a*c + 3 = 3*o. Solve c = 5*f - 2 + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 + 355. Is t\/26 + 6\/(-39) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 6 + -8 + 4. Solve u - 2 = j*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121370 divided by -5\nAnswer: -24274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396935365 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -13. What is the smallest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by (-79)\/(-237)*(-6)\/1 + 84?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 36 = 270. Let q = 248 - a. Suppose -123 - 269 = -4*y. Calculate the greatest common divisor of y and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1119 and 28?\nAnswer: 31332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1063*b = -380*b + 2467*b + 886*b + 72648 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*m**3 - 5186 + 5186 + (9 + 0 + 4)*(1 - m**3 - 1).\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 - 83 = 0. Let f = s + 36. Solve 4 = -5*t - 3*i, -5*t - f - 15 = -5*i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {z: 7, a: 1, e: 2, b: 5, n: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 4*s)*(s - 6*s + 3*s) + (-16 - s + 16)*(-s + 3*s - s) + (1 - 1 - s)*(3*s - 3 + 3) to the form k*s + f + h*s**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 672826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2553 and 8004.\nAnswer: 296148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -132265974 divided by -2\nAnswer: 66132987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Suppose -s = -x - 9, x = -s + 3*x + 13. Let f be ((-6)\/s)\/(6\/(-75)). Solve -q*j - f = 5*m, 0*m - 5*j = 4*m + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c - 2. Let y be ((-18)\/12)\/((-3)\/(-8)). Let j be x(y). What is the common denominator of j\/(-22) + (-5 - -4) and 73\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l*l)\/(l\/(l*(l*l*l**21)\/l*l)) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073 is divided by 516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:42 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 44341797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*r**5 - 30*r**3 + 3799*r + 2 wrt r?\nAnswer: 1260*r**3 - 180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452 times -24223?\nAnswer: -59394796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(4) + -2.\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1912288.799573 + 4.200427. Let o = -1912374.00073 + r. Let b = o + 81. Round b to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3633 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -80 + -2132 + 2172.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2852*t**2 + 973293*t - 4000. What is n(308)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4 + sqrt(605)*-2)**2 + (1*-2*sqrt(320))**2*-1)*2.\nAnswer: 616*sqrt(5) + 2378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 39. Suppose 0*y = 4*y - 176. Let l = 56 - y. What are the prime factors of n(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 - 249\/2. Which is the nearest to m? (a) 12\/7 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) + sqrt(425)*2 + sqrt(17) + sqrt(17)))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a. Let z be 2\/1 - (-4 - -1). Let s(y) = -6*y. Let i(l) = l. Let r(n) = z*i(n) + s(n). Give d(r(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugau when four letters picked without replacement from uvguaggvgaa.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(608))\/(sqrt(20)\/(sqrt(10)*-2) + sqrt(2) - sqrt(192)\/sqrt(6)).\nAnswer: 48*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*h - 6, -3*x + h + 66 - 62 = 0. What is the nearest to -0.086 in 4, 1\/9, 2\/9, x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*l*o - 6*l*w**4 - 4*l*w**3 + 10*l*w**2 - 2*o*w**3 - 10*w**3 - 5*w**2 wrt w?\nAnswer: -144*l*w - 24*l - 12*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1134779 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + -50 + 64 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, -5, 2\/291, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9869164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1871446?\nAnswer: -4\/935723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*v + 7, -3*v - 12 + 4 = 2*z. Let k be (z\/(-1))\/(2\/46). Suppose -8 + k = 3*y. Solve 0*x - 15 = y*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*o = -36, -3*r - 25 = -4*o + 50. Let k = 23 + r. Calculate the remainder when (-12)\/(-7) - 2 - (-299)\/91 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 143 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420961103.\nAnswer: 11, 43, 233, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 880 + 5?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 8777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15991 + -15898. What is the remainder when 188 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1040?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {u: 9, r: 1, q: 1, e: 1, z: 1, w: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78176239 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/5 (b) 1.3 (c) -56721 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3515, 8571, 13627, 18683, 23739?\n\"Answer: 5056*g - 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 6 - (-7 + -1 + (-38 - -42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 + 103*x + 605. What is g(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 14*i + 114. Let u be l(-8). Suppose 3*j + 3*x - 21 = 0, 4*j - 5 - 8 = -x. Let k(h) = -3*h + 1. Let y be k(j). Put y, u, 3 in increasing order.\nAnswer: y, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1549051 and 665?\nAnswer: 7745255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372 by -12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from phxxhvhhbvx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67794 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 + 4*d + 7. Let w be n(-5). Suppose 6 + w = -6*a. What is the remainder when 27 is divided by (-2 + 1 + a)*(-30)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvxxxvvvov. Give prob of picking 1 v and 3 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/238177 or -1?\nAnswer: 10\/238177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:09 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -97, -191, -323, -499, -725, -1007, -1351?\n\"Answer: -g**3 - 13*g**2 - 48*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1 + 2*c - 46*c**2 + 46*c**2 + c**3. Let j be k(1). Let g(y) = 3*y**2 - y. Give g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7404307.\nAnswer: 7404307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1288 - -32204\/25. What is the smallest value in h, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544\/(-204)*(-6)\/(-40)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**8\/1176 - r**6\/210 + r**4\/84 + 26*r**2. Suppose l(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16088 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2\/4 - 17031*l\/2 - 17028 = 0 for l.\nAnswer: -11352, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439320 is divided by 116.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662690.\nAnswer: 2, 5, 7, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -0.35?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 55*k**2 + 55*k - 159. Determine q(54).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/18*(-14)\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - (0 - (-5 + 6) - 163)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -423576 (base 8) in base 16?\nAnswer: -2277e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 3. Let k(q) = -9*q - 203. Determine 5*j(o) + k(o).\nAnswer: o - 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -25 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32942568 to the power of 1\/2, to the nearest integer?\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let c(w) = w. Let m(b) = 2*b. Let l(f) = -14*c(f) + 6*m(f). Give l(g(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4\/9, -2\/9, 0.1, 6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)\/o*o*o*o\/(o**11\/o*o) assuming o is positive.\nAnswer: o**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/55? (a) 0.3 (b) 2\/7 (c) -815 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/15)\/(3\/5)*(-98)\/392.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1715 and 1372285719?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58149 and 138060?\nAnswer: 68615820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -537 + 542. Let g be -2 - (6\/(-15))\/(4\/r). Which is the closest to -1\/4? (a) g (b) -3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (20 - 20) + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*h - 6 + 6 = 244*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z**(1\/6)*z)\/z)*z*z*z)\/z**12*(((z\/((z*z**(-16))\/z))\/z)\/z*z)\/z**(-16) assuming z is positive.\nAnswer: z**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 550 = 13*z + 685 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -129 - 34?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 840.21 and 0.12.\nAnswer: 840.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 15 - (34 - 43).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968678040 divided by 80723170.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100010 + 1001?\nAnswer: 1100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 2) + (129\/(-602) - (-1172)\/(-280)). What is the biggest value in -0.0051, x, -3\/7?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*a - 3*a = 16, 0 = -4*w - 4*a. Is 16 a factor of 339\/6 + w\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2831543?\nAnswer: 11, 13, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 742250120 a multiple of 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.76414719 to three decimal places.\nAnswer: -5.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)*o**7*o**(-2\/13)*o**(-2\/25))\/(o**(-4)\/(o\/o**5)*(o**(-2\/3))**27) assuming o is positive.\nAnswer: o**(7984\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -0*r + 5*j, -5*r + 5*j = -20. Let l = 95 + -53. Let u = l - 23. Solve i + u = 5*a, a - r*i = i + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -298 + 343. What is the highest common divisor of v and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + 32. What is the greatest common factor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963016 is divided by 1129.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(343)*3)**2.\nAnswer: 18522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4755 + 14340 - 4789 - 4796 + 5*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 2 + 0 + 2*x**2 - 8 + 3*x to the form n*x + w + a*x**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -3. Let l(d) = d - 10. Let j be l(y). Put j, -4, -2 in ascending order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 - g - 2. Let k be l(-4). Let s(q) = -3*q**k - 202*q - 4*q**3 + 2 + 201*q + 3*q**3. What is s(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m. Let h(y) be the first derivative of 157*y**2\/2 + y + 411. Determine v(h(g)).\nAnswer: -471*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 3)*(0*u + 3*u - 5*u) - 2 + u + 2)*(-127 + 1 - 30).\nAnswer: -780*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*p**2\/2 - 138501*p\/4 - 138711\/4 = 0. Calculate p.\nAnswer: -1, 46237\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 17 + -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**3 + 32*q**2 + 19*q - 20866?\nAnswer: 3*q**2 + 64*q + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6)*r)\/(r\/r**(-3)))\/(r**6*r\/r**3) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3 (c) -2\/15 (d) 0.025 (e) -37 (f) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89487.22176 + -88806.22175265. Let r = 681 - u. Round r to 7 decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.4532g in nanograms?\nAnswer: 979453200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5. Let m(q) = -q + 1. Give 3*m(d) - 3*y(d).\nAnswer: -3*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.420702cm?\nAnswer: 4207020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:29 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -2*-2*sqrt(68))\/(sqrt(28)\/(sqrt(70)\/sqrt(10)) - sqrt(4) - sqrt(4) - sqrt(4)) + -1.\nAnswer: -5*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -93 (c) 15117.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/30 and -103\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251781659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217.229 * 0.28.\nAnswer: 60.82412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 185 = -4*a, -10*c + 65 = -2*a - 7*c. Let g = a - -40. Solve -6*h + 2*h + 4*v - 8 = 0, 3*h - v = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 897 = 827 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**3 + 4*i**2 + 8*i + 1. Let p be (-578)\/153 + (-4)\/18. Let k be t(p). Calculate the common denominator of k\/(-72) + 2*1 and 25\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let g(r) = 2*r**2 - 7*r**z + 3*r + 5*r**3 + 0*r**2 + 3. Let h(v) = -8 + 14*v + 22 - 4*v**2 + 24*v**3 - 20*v**2. What is -14*g(a) + 3*h(a)?\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 836, 1667, 2500, 3335?\nAnswer: 4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 74*k + 261. Is t(27) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 86*j**2 + 5*j + 7. Let q be -1 + -3 + (-16)\/(-16). Let o be p(q). Is (-15)\/30 - o\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 89, 130, 169, 206, 241, 274?\n\"Answer: -o**2 + 46*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16853*v**3 - 1568223?\nAnswer: -50559*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33864355, 33864370, 33864393, 33864424, 33864463, 33864510?\n\"Answer: 4*o**2 + 3*o + 33864348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3 + 125513*f**2 - 766080 wrt f?\nAnswer: -6*f**2 + 251026*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (48 - 4 - 52).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, 1, 6, -3 in decreasing order.\nAnswer: 6, 1, -3, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.999925 + 16. Round h to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/21 - -11\/84. Let n be -2 + (5 - (-3 - -5)). Which is the closest to n? (a) 0.5 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 + 0 = -4*g, -4*g = 4. Let z(o) be the first derivative of 0*o**2 + 0*o - 2\/3*o**3 + r. Let m(i) = -i. Give z(m(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 22. Let t(b) = 2*b - 43. What is -6*t(l) + 11*y(l)?\nAnswer: -l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1909590437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3968 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*c - 30 + 2 = 0, -5*o + 29 = 4*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**3*p**3 - 28*m**3*w + 2*m**2*p**3 + 90*m**2*p**2*w + m**2*p + 2*m*p**3*w + 3*p*w wrt m?\nAnswer: 36*p**3 - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + d**3 + 17*d**2 - 5 + 0*d**3 - 11*d**2. Calculate b(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 130, 6035, -1, -0.1?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-22*(-1128)\/(-96). What is l rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11600 and 378800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:37 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 0 + (2 - 4 + 1)*(-5 + 1 + 2) + 1 + 5 + 2)*(2773 - 63*x**5 - 2773).\nAnswer: -378*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 884556?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -115\/7. Let f be 11 - 9 - 16\/9. Which is the third biggest value? (a) f (b) -4\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*z + 1557, 13*w + 4*z = 8*w + 2595. What are the prime factors of w?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -18?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 481189*z**4 - 4*z**2 + 2*z - 4159?\nAnswer: 11548536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - -32. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - s**2 - 3*s**2)*(2 - 2 + s) - 2*s**2 - 12*s**2 - 3*s**3 - 10 + 11.\nAnswer: -4*s**3 - 14*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 16 - 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -106\/3 < 0.51567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 7*l - 3. Suppose 16*z = -2*z + 72. Determine r(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 13 - 4. Suppose -20 = -a*u + 13. What is the remainder when (-27)\/(-6)*(u - 5) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12471, -12483, -12521, -12591, -12699?\nAnswer: -12851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -6 - 9. Let c be (-3 - -2)\/(d\/10). Solve -3*a = t - 6, -4*a = 4*t - 6 - c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1 + (-2 + 9 - 11)*(-3 + 2 - 1))*((3*w + 2*w - 3*w)*(3 - 1 - 3) - 5*w + 0*w + 2*w).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-1)\/(4\/(-32)). Suppose -n*j = -5*o - 7*j + 63, -26 = -2*o - 2*j. Suppose -m = a + 2*m + 14, 4*m = -o. Put 5, -1, a in decreasing order.\nAnswer: 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pik when three letters picked without replacement from {k: 1, i: 1, x: 1, q: 4, p: 5, t: 1}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(1*sqrt(32)\/sqrt(8))*-1)\/(sqrt(324) + sqrt(324) + 2*sqrt(324)*-3 + -3*(sqrt(324) - 3*sqrt(324))).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 920 + -300. Let z = w - 393. List the prime factors of z.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411676?\nAnswer: 2, 101, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17\/4, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004689058999 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.05 - -5. Let h = z - -0.15. Which is bigger: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*u = -31, -5*x - 4*u + 20 = -3*x. Let v be ((-46)\/(-11) - x) + 390\/33. Solve -l = -3*f - 12, -3*f + 0*f = l + v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 4 - 3 + 4 - 3 + (4 - 3 + 0)*(-4 + 6 - 3) + 4 + 2 - 5)*(-2*w + 4*w + 9*w).\nAnswer: -110*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Let d(w) = w**3 - 5*w**2 + 6*w - 3. Let f be d(p). Suppose k - f*t - 44 = -0*t, 5*k - 197 = 2*t. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.5 + -96.5. Let l = c - -119.11. Round l to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-42))\/((10695\/(-868))\/(-115)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7581b8 (base 15) in base 3?\nAnswer: 101112022110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Let o = p + -5.000008. Round o to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c + 19. Let y be h(10). Let l = y + 25. Let o be l\/(-2)*(-2)\/(-3). Solve -5*r - 9 = -0*r - s, -2*r - 10 = -o*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -11703534 - 2\nAnswer: -11703536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from {v: 8, p: 5, g: 7}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 12 = 12*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let b(h) = 10*h**2 + 9*h - 4. Let x(g) = b(g) + 2*n(g). Let w be x(4). Find the common denominator of -89\/16 and (-519)\/w - (-60)\/210.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6903 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -1.786.\nAnswer: 5.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 3*x + 1. Let v be c(-5). Let m be (-1)\/(2*(-2)\/v). Round m to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24016a - 18?\nAnswer: -240184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6 + 9. Suppose -5*o + 3*a = a - 24987, 0 = -z*o - 2*a + 24983. Let r be (-9)\/6*-2 + o. Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f. Let w be s(-4). Let m be (2\/2)\/((-4)\/w). Find v such that 3\/4*v**2 + 1\/4 - 1\/4*v**m - 3\/4*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29512476, -59024965, -88537458, -118049955, -147562456, -177074961, -206587470?\nAnswer: -236099983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 - 32*z**2 - 16*z - 40. Let x(v) = v**3 - 10*v**2 - 5*v - 13. Give 5*r(t) - 16*x(t).\nAnswer: 4*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5427\/(-804))\/(42\/12 + -5)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -16. Let d be 0\/(-4) + (-1)\/m. Let p(u) = -u**2. Let i(a) = 7*a**2 + 1. Determine d*i(h) - 5*p(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -14, 0.118, -1, -265, 0.07, -1\/3?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 18*i - 1. Let z be ((-5)\/(-5 - 0)*-6)\/(7\/(-21)). Determine s(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4, -0.4, 1883?\nAnswer: 1883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 5*k + 234. Let b be y(-18). Let z(f) be the third derivative of 1\/120*f**5 + b*f + 1\/480*f**6 + 0*f**4 + 0*f**3 + 0 - f**2. Factor z(a).\nAnswer: a**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/186 and -11\/113646.\nAnswer: 113646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.364968nm to centimeters.\nAnswer: 0.0000000364968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/384*(-8)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645684735.\nAnswer: 3, 5, 17, 269, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 6*c = -2278. What is the remainder when c is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 3*y**2 + y**2)*(-3*y - y + y + y - 2*y + 2*y + (-1 + 1 + y)*(-2 + 0 + 0))*(2 + 4 - 4) to g + r*y + c*y**2 + l*y**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -626173 divided by 99.\nAnswer: -626173\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 834 divide 1788631320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847 - 855 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 28*f - 14*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3510000 to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**7\/70 - 3*j**6\/20 - 6*j**5\/5 - 13*j**4\/4 - 9*j**3\/2 + j**2 + 2*j. Factor u(m).\nAnswer: 3*(m - 9)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 3*o - 2. Let s = 567 + -543. Let p be 4\/((-2)\/4 + 44\/s). Give m(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u + 3*u - 1 - 2*u + 2*u. Let i be b(-1). Let q(r) = 4*r - 5*r + 0*r - 5 + 2*r. Calculate q(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405702*r**4 - 338634*r.\nAnswer: 4868424*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*d - 260 - 372. Let k(t) = t**2 + 18*t - 77. Determine k(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 - 300. Suppose 6*i + 600 = i. Is 5 a factor of (2 - l\/(-4))*i\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.482003l?\nAnswer: 6482.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1420 - -2316. Calculate the smallest common multiple of 16 and o.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -710*h**2\/13 + 25611822*h\/13 + 288584\/13.\nAnswer: -2*(h - 36073)*(355*h + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68) + sqrt(68) + 1)**2 - ((2*sqrt(17) + sqrt(17))**2*-4 - (sqrt(17) - sqrt(153)*-2)**2).\nAnswer: -24*sqrt(17) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80860 divided by 21.\nAnswer: -80860\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s. Let j be v(0). Suppose j = q + y - 1, y - 1 = 3*q + 6*y. Is 12*(q + (-20)\/(-16)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396869501 and 2121.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5121428 millilitres?\nAnswer: 0.0005121428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -74*u**2 - 6*u - 4471. Let n(t) = 166*t**2 + 14*t + 8941. Determine 9*g(k) + 4*n(k).\nAnswer: -2*k**2 + 2*k - 4475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21144396 - -21144439.000017. Let g = b + -43. What is g rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4825 - 4819.474. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*u - 372 = 0, -4*a + 2*u + 18 = -456. Suppose -9*s = -7*s - a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5 = -s. Suppose 0 = 4*t + 2*q - 15 - 3, -s*q = t. Solve -2*j - t = -u + j, 0 = -5*j - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 16. Let m(i) = i**3 + 3*i**2 - i - 2. Let b be m(o). Suppose 7*y - 11*y + b = 0. Which is bigger: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u**(-4)\/u)**35\/((u\/(u**1*u)*u*u*u\/(u**(-3)\/u))\/(u**(1\/2)\/(u\/(u\/u**(-6))))) assuming u is positive.\nAnswer: u**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2470449 and 0.5472054.\nAnswer: 2470449.5472054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*h + 5 = 6*g, 8 = 3*g - 4*h. Suppose a = g*r + 654, 2*r = -4*a - 2*r + 2696. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-55) - (-4)\/22. Suppose 2*x + v*x = -4*g + 30, -2*x + 35 = 5*g. Solve -3*s - 2 = 2*c - x*s, 17 = 3*c + 2*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(1088) + 4*sqrt(1088) + sqrt(1088) + sqrt(1088) + 1 - sqrt(1088)))**2.\nAnswer: 192*sqrt(17) + 39172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198 - 116382\/(-588)) + (-1513)\/(-14).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -15. Put -0.1, 3, g in decreasing order.\nAnswer: g, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(1\/(-2)). Is ((-57)\/6)\/(o\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - 22) + (-3 - 14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ykkykbykkygygkkkbkyk?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 7. What is d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 5 (c) 0.04 (d) 7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010101010101111010100110011?\nAnswer: 1010101010101111010100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(16\/(-12) + (-288)\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4678584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.7534? (a) 0.4 (b) -2.7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let n(x) = -14*x**2 - 88*x - 968. Let v = 29 + -41. Let c(w) = v*l(w) - 2*n(w). Suppose c(d) = 0. What is d?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3488 - 3504. Which is greater: 0.78 or a?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2562a (base 11) to base 12.\nAnswer: -1929b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 480.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -0.5, -3, 5\/2, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 2 + -2)**2 - ((sqrt(11) - (-2 + sqrt(11) + -1)) + sqrt(121)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: -6*sqrt(11) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4 - -3 - (0 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 17*v - 10. What is the units digit of f(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9514*c - 9508*c + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Let i = -3 - -8. What is the smallest common multiple of y and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11189.\nAnswer: 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*c**2 - 101*c + 11*c**2 + 8*c**2 - 78*c as k + n*c**2 + f*c and give f.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -1 + -91 + (0 - -45).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from bhwhhhhjwhhwhbjhhhhh.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17276 - -287.87276. Round o to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = 3*x - 4037, 2*x + 3*y = 2663. List the prime factors of x.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {r: 1, b: 2, m: 7}?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 158694108?\nAnswer: -158694108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-66360)\/6636*(-1)\/(-145)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 6\/23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4416484*n + 14*n**2 - 4416484*n.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -160, -162, -164, -166, -168?\n\"Answer: -2*f - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4437236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12769*x**2 - 11102*x**2 + 0.\nAnswer: -23871*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoeo when four letters picked without replacement from {h: 4, o: 2, i: 1, e: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:50 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -73. Suppose -3*x + 6*x = -12. What is the lowest common multiple of (-534)\/s - (-1)\/x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1603 and -2756437?\nAnswer: 2758040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22557, -24961, -28959, -34545, -41713?\n\"Answer: l**3 - 803*l**2 - 2*l - 21753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3838*c - 398. What are the prime factors of z(-2)?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309499 and 1674749.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1265880335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1190 and (((-111)\/(-14))\/((-177)\/118))\/17?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 4. Let i(y) = -y**2 + 12*y + 26. Let u be i(14). Let p(g) = g - 1. Let m(q) = -4*q + 4. Let f(j) = m(j) + 3*p(j). Give u*f(a) - r(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74829 is divided by 9348.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/6)\/(3 - -1). Let a(t) = t**2 - 8*t + 10. Let l be 1*7*(9 + -8). Let q be a(l). Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(4 - 4 - 3*r) - 2*r + 0*r - r)*(3*r + 22*r**4 - 4*r - 31*r**4).\nAnswer: 81*r**5 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1044, 1348, 1852, 2556, 3460, 4564?\n\"Answer: 100*d**2 + 4*d + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305164 - -240616.\nAnswer: -64548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p**3 - 11*p - 2*p**3 + 2 + 6*p**3 + 2*p**2 + 16*p**3 in the form r*p + b*p**2 + m*p**3 + o and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 + 49 = -69*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67 + -212?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:40 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687*u + 696*u + 6048 = 0. Suppose 76 = -5*f - 44. What is the least common multiple of 8 and (f\/(-28))\/(4\/u*-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (94\/(-2) + 1)\/(-2). Let i be (v + 1)*2\/4. What is the units digit of (i\/18)\/((-2)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 17*v**2 + 23*v - 59. Determine j(18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (29 + 7 + -25).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*u + 25 = 3, u - 12 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 - 2*u**2 + 0*u**2)*(84256 - 46670 - 44164) as q + x*u**2 + i*u and give x.\nAnswer: 6578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 531021*k**3*r*z**2 - k**3*r - 21997721*k**3*z**2 wrt r?\nAnswer: 531021*k**3*z**2 - k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:13 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-3)\/6) + 84 + 7 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66.6 + 12.3. Let x = -54.299999291 - j. What is x rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-12)\/(-4))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**3 - z**2 + 3*z - 2. Let g be h(1). Let p be 22 + (-3)\/(g\/6). Suppose -2*y - 5*b + 9 = 1, 5*y = -3*b + p. Solve -w = y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -12.68 (c) -9 (d) 6.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in months?\nAnswer: 2700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 46. Let i(y) = -y + 9. Let t(a) = 11*i(a) + 2*n(a). Let h be t(5). Suppose -5*p + h*p + 21 = 0. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 1:47 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 21*g**2 + 26*g. Let z be 3\/(-24) - (-132)\/32. Let p(m) = 22*m**2 + 26*m. Let w(u) = z*p(u) - 5*h(u). Find the second derivative of w(f) wrt f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5, 0*n + 2*n = -2*h - 210. Let t = -61 - h. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 + 3*n + 4. Let f(k) = -16*k**2 + 10*k + 13. Let v(g) = 4*f(g) - 14*t(g). Suppose 2*m = 7*m - 3*d + 4, -5*d = -m + 8. Does 7 divide v(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + -4 + (3 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-1 - -2)\/(-2)). Calculate the remainder when 78 is divided by s - (-23 + 1 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2580 - -4524. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -10, -825, -2 in ascending order.\nAnswer: -825, -10, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -81, -164, -291, -468, -701?\n\"Answer: -u**3 - 13*u**2 + u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 94 = -a + 5*f, -f = -a - 44. What is the tens digit of (a*3\/30)\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*t - 3731 = -1139 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c**2 - 10*c - 18. Let i(t) = 46*t**2 - 29*t - 53. Let m(z) = 7*b(z) - 2*i(z). Factor m(j).\nAnswer: -(j + 2)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8022.\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(2\/8). Let b = 5 + m. Suppose b*q - 9 - 12 = 0. What is the remainder when 27 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 12. Suppose 2 = d*w - 14. Sort -0.4, 0.2, w in increasing order.\nAnswer: -0.4, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**2 - 30*z - 16. What is the remainder when w(-6) is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104 - (4 - (-3 + 6))) + (-56 - (-157 - -102))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -72. Suppose -2*m - 4*j + 72 = -0*m, 2*j + h = m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7909 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - u**3 - 7 + 5 + u**4 + 3 to d*u**2 + h*u**4 + r + s*u**3 + m*u and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77301 + 24106 - 8671 = -1288*m for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5714, -5525, -5336, -5147, -4958?\nAnswer: -4769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s**2 + 0*s + 1\/6*s**4 - 2\/3*s**3 + 4. Factor c(w).\nAnswer: 2*w**2*(w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*d = 32, 4*l - 3*d - 32 = -d. Suppose -2*r = 2*h + 2*h - 140, 2*h = l. Let q = r - 57. Solve -3*a - 4 = -q*a - k, 3*a = -3*k + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105132053 (base 7) to base 2\nAnswer: -11000010101000100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27144449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o*o**(2\/5))\/o)\/o))\/o)**(-2\/101)*o**(-5\/2)\/o*o**(-6) assuming o is positive.\nAnswer: o**(-9607\/1010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, -1, 1, -2, -1.35, 217 in descending order.\nAnswer: 217, 6, 1, -1, -1.35, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111034414 + -3?\nAnswer: 111034411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 109711519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 + 28441335*x + 28441338 = 0.\nAnswer: -1, 9480446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 20 = -3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1255, 2, 3, -1, 4 in decreasing order.\nAnswer: 1255, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgggjitggjbgjgjjjt. What is prob of sequence gg?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and (-36)\/20*60\/(-27)*3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 18*p. Suppose -2*n = -3*m - 21, -2*n - 5*m = -6*n + 37. What is the third derivative of p*g**3 + 3*g**2 + 0*g**2 + 3*g**n - g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (sqrt(432) + (4*sqrt(432) - sqrt(432)) + sqrt(432) + sqrt(432) - sqrt(432)))\/sqrt(4))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2660 + -2?\nAnswer: 2659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 - 137568*h**3 - 4672404*h**2 + 9757528*h - 4947552 = 0.\nAnswer: -34358, -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 c, and 1 k when three letters picked without replacement from {k: 1, x: 2, f: 2, g: 4, c: 7}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*f + 653 = 79*y - 25*y, y - 2*f - 7 = -7*f for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 6*o**2 - 12*o - 31. Let q be t(8). Let y be -1 - 9\/(-3) - 0. Solve y*l + 3 = -q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1856 - 1177 + 3*q + 1497 + 0*q + 3496)*(0*q + 2*q - 3*q) as l*q + n*q**2 + s and give l.\nAnswer: -5672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 125. Let l(a) = 8*a + 280. Let m(g) = 4*l(g) + 9*r(g). Determine m(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-2*-1 - -8. Let d(r) = -r**3 - 5*r**2 - 7*r - 5. Let q be d(-5). Suppose 0*c = -3*c + q. Calculate the highest common factor of k and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 90 + -37 + 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, -2, -4, 2\/5, -5, -10.3446?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**3 + 5*n**3 - 5*n**2 + 5 + 5*n**3. Suppose -15 + 0 = -w. Let c be w\/35 + (-32)\/(-7). What is y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -4 (b) -548 (c) -7 (d) -10.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48398 is divided by 1182?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:43 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*t = -277 - 156 - 285 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -403 - 3?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -87336.96455 to the nearest ten.\nAnswer: -87340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*n + 11900 = -854*n for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(2 + -3))\/(3\/21). Suppose -39 = -4*d + 3*f, -d - 19 = -3*f + 8*f. What is the first derivative of 17*y - g + d*y**2 - 17*y wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4) - 15\/10. Suppose 8*b - 13*b = n. Suppose -p + b = s - 4, -3*p + 16 = 4*s. Is p equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158 - 64 + 254)*((0 + 1 - 2)*(0*f - 3*f + 2*f) + 0*f - f - f)*(-2*f**4 + 6*f**4 - f**4).\nAnswer: -1044*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:23 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377381981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 9*i**2 + 2*i + 2. Calculate q(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2 + y + 6. Let p be r(0). Let v(g) = g**2 - 4*g + 4. Let h be v(p). What is the greatest common factor of h and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:50 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v**2 + 5*v. Let l(a) = -7*a**2 + 3*a. Let b(h) = -5*l(h) + 3*s(h). Let j(o) = -5*o**2. Determine b(j(f)).\nAnswer: -250*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15168 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5*2252\/(-2320) + -4 and 49\/202.\nAnswer: 11716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-126)\/24)\/((-18)\/240). Sort 4, 1, p, 3.\nAnswer: 1, 3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -482 - -486. Which is the nearest to -1? (a) -5\/2 (b) -2\/3 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 26 = -35. Suppose 4*u + 2*h - g*h = 20, -4*u - h = -28. Let y(q) = 3*q - 13. Let f be y(u). Solve -3*k = -2*k - f*m + 7, 3*m = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 74 and 156 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g. Let u(s) = 474*s**2. Give i(u(v)).\nAnswer: 1896*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -4. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 15*j**2 + 20*j + 74. Let a be q(-17). What is the greatest common factor of a and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**9\/7560 + w**8\/1120 - w**7\/630 + 31*w**4\/4 + 145*w. Let f(p) be the third derivative of l(p). Factor f(k).\nAnswer: -2*k**2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 35*m**4\/24 - m**2 - 19*m + 2. Let u(q) be the first derivative of z(q). Let n(k) = k**2. Determine n(u(c)).\nAnswer: 1225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.4 (b) 9\/170 (c) -176 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 4*x - 3. Let t(f) = 21*f**2 + 27*f - 21. Let b = 54 + -58. Give b*t(d) + 27*i(d).\nAnswer: -3*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + ((sqrt(528) + sqrt(528)*1 + sqrt(528))*6 - sqrt(528)))\/sqrt(12))\/(sqrt(484) + sqrt(484) + sqrt(484) + sqrt(484)*1*-6).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 53*x - 10 = 57*x, 3*h - x = 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o - 7. What is g(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21)*1 + (-183)\/(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53215?\nAnswer: 5, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2360 and 1416?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 + 4*g - 3. What is a(-5)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112264878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1098 - 549 - 549 + 25*u. Let q(n) = -2*n - 4. Let d(v) = -v - 1. Let h(i) = -4*d(i) + q(i). Calculate h(s(f)).\nAnswer: 50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/15 - -7\/5. Let w = 307.6 + -307. Let r = w + -0.9. What is the closest to r in 1, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(96)\/sqrt(3)) - 1*sqrt(12)\/(sqrt(4) - sqrt(36)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 4*s - 2. Suppose 2*b + 3 = -5. Suppose 20*d - 4326 = 14*d. Let a = -718 + d. Let o(j) = 2*j**3 + 3*j - 1. Give a*f(r) + b*o(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2267411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 - 12*b**4 + 24*b**3 - 16*b**2.\nAnswer: 2*b**2*(b - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 35130416.\nAnswer: 316173744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -309 divided by 2\nAnswer: -309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 17*x**3 + 17*x**2. Let o(n) be the third derivative of -n**5\/60 + 3553*n**2. What is -51*o(s) - 3*p(s)?\nAnswer: -51*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 7. Let q be l(4). Let y be -4 - q - (-7)\/1. Suppose -y + 1 = -f. Solve -b = -f*s - 20, -4*s - b = -0*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f3 + 1fbc1?\nAnswer: 1fdb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(2\/35) assuming h is positive.\nAnswer: h**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.749 + 1.118. Is -1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375097111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1.26\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 14*x**3 - x**2 + 6*x**2 - 2*x**3 - 6*x**2 + (7*x**2 - 3*x**2 - 3*x**2)*(-5*x + 2*x + x).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 70284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 46*j**2 + 39*j + 1797. Let k be p(-46). Let 19\/4*t**2 - 2*t - 7\/4*t**k - 1 = 0. What is t?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -7 + (8 + -25 - -35 - -14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -16 (b) -30 (c) -0.13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2. Suppose 0 = -36*l - 1282 + 1822. Let n(f) be the first derivative of 0*f + 0*f**2 - 10\/3*f**3 + l. Give j(n(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let i(o) be the second derivative of 3*o + 1 + 103\/6*o**3 + 0*o**2. What is i(u(z))?\nAnswer: 206*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -3857\/31 and -125 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -113 and -113 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3176 and 16608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -34*y + 36*y - 13, 4*y + 2*x - 14 = 0. Suppose -1265 = -y*t - 3*z, 0 = -5*t - 0*t + z + 1265. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*c - 631*c = -1177157 + 1215843 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3)\/((-12)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3341715.\nAnswer: 3, 5, 13, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136*j**3 + j**2 - 132*j**3 + 3*j**2 - 3 + 2*j**3 + 3 + (4 + 2*j - 4)*(-j**2 + 0*j**2 + 4*j**2).\nAnswer: 12*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, 3\/808, -0.3 in descending order.\nAnswer: 2, 3\/808, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 - -109. Suppose 2*w = 3*h - 7, 4*w = -h - 4*h + 19. Suppose 3*g + 9 + y = 0, h*x = -3*g + 15. Solve 4*n - x*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 39.99999912. Round k to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2 + 0*f**3 + 2*f**3 - f**3)*(1 + 0 - 3).\nAnswer: -2*f**3 + 4*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + x. Let d = -132 + 152. Let w be (d\/10)\/(16\/6 - 2). Let m(s) = -4*s**2 - 2*s. Determine w*b(v) + 2*m(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 17*y**2 + 18*y - 27. Let j be r(16). Suppose 4*w - j*x - 578 = 0, x + 51 + 93 = w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2598633 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25335 (base 6) to base 9.\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let o = 170 + -164. Let x(l) = -l**2 - 14*l**2 + 9*l**2 - o*l**2. Calculate p(x(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -906 + 1046. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 - 1608*y + 161604 = 0?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.017 + -0.017. Is z smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/10)\/(149 + -150).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:27 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1889\/268 - 4. Let m = -14740025 - -7900650493\/536. Let d = m + j. Calculate the common denominator of 77\/48 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -2\/249 in increasing order.\nAnswer: -0.5, -2\/249, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52 + 1 + -38 + 24\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u. Let q = 2896 + -2893. Let l(h) = h. Give q*b(p) + 6*l(p).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8514)\/(-218))\/(-3) - (165 + -38 + -140).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2535 is divided by 2524?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4)*(-26 - -22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 838*(-6 + 130\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950608 equal to 12357918\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k**2 - 52*k**2 - 15*k**2. Let x be (-2)\/2 - 5\/(-1). Let s be r(x). What is s rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.344 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003939898549 rounded to five decimal places?\nAnswer: 0.00394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x. Let y(j) = j + 3. Let r(c) be the third derivative of -c**4\/24 - 2*c**3\/3 + 4*c**2. Let q(v) = -3*r(v) - 4*y(v). Determine q(n(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 2, u: 2, m: 1, c: 1}. Give prob of sequence iim.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.76 and 653?\nAnswer: 1149.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-38)\/(-95) - 294\/(-15) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 12. Let h = 6 - k. Which is the closest to -1? (a) 0 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-345 + 345 - 22*z)*(-1 - 1 + 0)*(-z + 5 + 0*z - 1) in the form u*z**2 + x + n*z and give n.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/32 and 17\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.5, -2\/7, 23.9, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 117ad?\nAnswer: 117ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1708.6 - -1709. Let s be 8\/(-56)*(-2 + -2). Put o, 2\/7, -90, s in descending order.\nAnswer: s, o, 2\/7, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 17, c: 2}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268679 and 85562?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.717 - 597407499799.\nAnswer: -597407499798.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4117 by -277729.\nAnswer: 4117\/277729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**3*y))\/y*y)\/((y**4\/y)\/y))**(-39) assuming y is positive.\nAnswer: y**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f + 4. What is m(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1db82a (base 16) to base 11\nAnswer: 1110368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*f**2 - 8*f + 44*f**2 - 2*f**4 wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14612 and 26.\nAnswer: 14612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 97*k. Let m(t) = -5*t. What is a(m(g))?\nAnswer: -485*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n*o**3*w - 2940*n*o**3 - n*w - 5*o**3*w - o**2*w - 579780*w wrt o?\nAnswer: 24*n*w - 17640*n - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 672097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*q - 810, q - 3*o = -q - 335. Let j = -55 - q. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*v = -8*v + 62, -207 = -5*i - 18*v + 118 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1168 - -507.8832. Let x = -506.704 + z. What is x rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27434 divided by -86?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*b + o - 15, -2*o = -b + 12. Let u be b\/2 + 1 + -4. Solve z - 2*w + 1 = 0, -4*z + 0*z = u*w - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, y: 4}. Give prob of picking 2 y and 2 b.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1129 - 33*n + 1129 + (0*n + 2*n - n)*(-4 + 3 + 5).\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d - 13. Let v be 3\/(-5) - ((-1116)\/(-15))\/6. Let g(l) be the third derivative of -5\/12*l**4 + 0 + 0*l - l**3 - 2*l**2. Calculate v*g(m) + 6*y(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 79.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d - 5*k - 6 = 0, 4*d - 3*k - 41 = 0. Suppose -g + d*g - 10 = 0. What is the tens digit of 25*g*(4 - -1 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -48*i + 0*i**4 + 0*i**2 + 0 - 33\/2*i**3 - 87\/20*i**5. What is the second derivative of o(k) wrt k?\nAnswer: -522*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -10 - (0 + -18). Solve h - 5*i = -a, -h - i + 4 = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710851888 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.1. Let g = -23 + 30. Let m = g + -4. Which is the closest to m? (a) 2\/5 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from vvjvgxgxxv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 935532572 > 935532571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 3*z + 85. Let c be f(-8). Suppose 0 = -2*i - 0*i + 34. Let b = c + i. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -854 + 842.926. Round p to one dp.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*k + 17*k - 157 + 71, 5*k = -2*r + 28 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.08 + -0.08. What is the nearest to 1 in -0.1, a, -5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8995245, -8995251, -8995257, -8995263?\nAnswer: -8995269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, -44, -182, -428, -812?\n\"Answer: -5*m**3 - 9*m**2 + 2*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 11:58 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 0 + 0 + (-5 + 2 + 1)*(l - l + 4*l**2) + 6*l**2 - 2*l**2 - 2*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - -76273?\nAnswer: 76321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4))\/(p\/(p*p**(-2\/5)*p*p)))**13*(p**6\/(p**(-4)*p))**34 assuming p is positive.\nAnswer: p**(6601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4\/149 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0403 and 290.6.\nAnswer: -11.71118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -9 + 1 + (-2 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 3*j**3 - 11*j**2 + 0*j + 3*j**2 + 2 + 2*j**2. Let k(u) = -39*u**3 - 78*u**2 - 12*u + 27. Let v(o) = -2*k(o) + 27*w(o). Let v(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4521?\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19b (base 15) to base 11\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 10*y**2 - 11*y + 17. Give x(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212693, -212448, -212203, -211958?\nAnswer: -211713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -438\/23 and -20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 214547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3286 divided by -3286.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 31*c - 52. Let s be n(14). Let r = -346 + s. List the prime factors of r.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 - 3*d**2 - 19*d**2 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6006072l?\nAnswer: 600.6072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/20)\/1)\/(190\/(-475))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {f: 5, o: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3\/2 + 201*l**2\/2 - 1185*l + 3816 = 0.\nAnswer: 6, 8, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -620, -618, -616?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 303, 347?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/85? (a) 2 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -5, 11053 in descending order.\nAnswer: 11053, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17*j + 47. Let b(w) = -154*w + 420. Let v(k) = -3*b(k) + 28*z(k). Let i be v(-3). What is the highest common factor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t = -85*t + 756. Suppose 23*f = 9*f + t. Solve -z - f = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789252991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/334 and -91\/18?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3895 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.139 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 k, and 1 i when four letters picked without replacement from aaagirakxraxakaaxka.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -165941351 in descending order.\nAnswer: 2, 1, -165941351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.287 (b) -0.1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -26\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -17*s + 33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4, 5*l = 20*y - 21*y + 18209. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s. Let y(x) = 2 + x + 0*x - 1 + s*x. Calculate y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3906030748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.13 and -0.07279.\nAnswer: -0.0822527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -85264.9 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 - 120. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 = 2*c. Suppose 0 = -c*j + 3*g + 48, -5*g + 2 = 12. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/179347, 1\/6, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.506 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 107\/4. Suppose -2*w + 243 = w. Let i be 3\/(w\/(-75)) - -3. Which is the biggest value? (a) i (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7009822 to the nearest integer?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2566 - 2565.6. What is the third biggest value in k, 3\/4, 146?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = -g, 767*q - g - 3 = 763*q. Let s(f) = f**3 - f**2 + 2*f - 1. Let t(y) = -y**3 + 2*y**2 - 3*y + 1. Let a(z) = -3*s(z) - 2*t(z). What is a(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 5989185?\nAnswer: 2\/1197837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 4. Let m be a(-3). Find the second derivative of -32*n**5 + 9*n**5 - 14*n**5 - m*n**5 + 11*n wrt n.\nAnswer: -940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) 90 (d) -0.5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 9. Let i be l(5). Suppose 0 = -9*w - i*w + 11*w. Put 1, 5, -1, w in increasing order.\nAnswer: -1, w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8 and -1 - (1 - (-150)\/(-64)) - 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(1\/30))\/p)\/p**27)\/(p**(-19\/5))**(-2\/29) assuming p is positive.\nAnswer: p**(-23747\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1079 - -1119. What is the highest common factor of l and 1880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*a + a. Let d(w) = -w**3 + 6*w**2 - w + 7. Let v be d(6). What are the prime factors of -1*v*(a + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -0.4, 0, -4, 7, 0.9 in ascending order.\nAnswer: -4, -0.4, 0, 0.9, 2.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 60 + 609. Let h be j\/(-21) - 2\/(-7). Let r(a) = -a**2 + 13*a - 9. Is 9 a factor of r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -241622, 5\/6, -4?\nAnswer: -241622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/14 and -43\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1050?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -21.11. Let p = 4.89 + r. Which is the closest to 0.1? (a) -5 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -1)*6\/9. Solve -7*c - 4*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 6*t**2 + 4*t + 2. Let f be z(3). Let h = f + -9. Solve h*k - 2*a = 10, k = 2*k + 3*a + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/9? (a) -1\/6 (b) -22 (c) 93 (d) -5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*j - 51 - 150*j + 434*j - 147*j + 46 + 5.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 24\/5, -1.4, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134688 divided by 4?\nAnswer: -33672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (3 + (-2 - 1)). Let n be r\/(-5) - (-8)\/(-10). Suppose 3*g + k - 69 = n, -5*g + 15 + 107 = 4*k. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 520 = 3*n - 3*g, -326 = -3*n + g. Let x = 110 - n. Solve 0 = -b + x*u - 8, -u - 4*u = -4*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*-1)\/((sqrt(2) + 2*sqrt(162))*-3).\nAnswer: 4*sqrt(19)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1. Let w be (60\/5)\/(-4)*-1. Suppose -3*m + 4 = -w*l + 19, -4*l = m. Is z <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-1 - 3) + -2) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 5 + 3*(sqrt(125) + sqrt(5)) + -3)*-2.\nAnswer: -38*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-44\/3))**(-2\/39) assuming r is positive.\nAnswer: r**(-100\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(3\/(-36)*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 1518*a**3\/7 - 16755*a**2\/7 + 43200*a\/7 = 0. Calculate a.\nAnswer: -576\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.83 - -3.17. Which is bigger: 0.059 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*k*l**2 - 513*k*u - 226*l**2*u + 8 wrt k.\nAnswer: 6*l**2 - 513*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/21 + x**3\/3 + 8*x**2. Differentiate z(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(288) + sqrt(288)*-1 + -4 + -4*2*sqrt(288)))**2.\nAnswer: 24576*sqrt(2) + 590336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231430 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 3. Suppose g = 2*l - 5. Suppose 0 = l*u + 5*a, 0*a = 2*u - 5*a - 25. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 384468801 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/2)\/l)**(-27)\/(((l**(2\/25)\/l)\/l)\/l*l**(-1\/10)) assuming l is positive.\nAnswer: l**(-262\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 8*k**2 - 6*k - 4. Suppose 0 = 10*m - 18*m + 128. What is the lowest common multiple of m and o(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 4*(-90927)\/(-120) - 3\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, -2283.13, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 + v + 7. Let o = -20 - -13. Let i = o + 2. Give f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100110010 + 11010110?\nAnswer: -1111001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93537042 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -527 + 827. Suppose -7*d = -8*d - z. Find the common denominator of -143\/30 and (d\/63 - -1)*-1.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 11131?\nAnswer: -11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143*s**3*w - 2*s**2*w**3 - 25*s**2 - 11977*w**3 + 10 wrt s?\nAnswer: 429*s**2*w - 4*s*w**3 - 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0 - 2. Let t = 7.06 + -7. Let n = -0.46 + t. Which is the third smallest value? (a) n (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/11)\/j**(-3))\/((j**(-1\/2)\/j)\/j**(-1\/15))*j**7\/(j*j\/j**(-1))*((j*j**(-2\/5))\/j)**(-1\/18) assuming j is positive.\nAnswer: j**(8281\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*t**2 + 28*t**2 + 15*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 38.27152 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(15\/(-120)). Let w be 15*(33\/(-9) - z). Solve -w*c - 14 = 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 13) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/2)\/(3 - (-166)\/(-56)). What is the highest common divisor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let t(r) = -11*r + 5. Determine d(t(n)).\nAnswer: -44*n + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47864, 95737, 143610?\nAnswer: 191483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/7, 2\/9, -36, -25 in descending order.\nAnswer: 2\/9, -4\/7, -5, -25, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, f: 2}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*k + 847*j - 1084 - 1477, j = 2*k + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1396360 divided by 7.\nAnswer: -199480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 18. Suppose -x = x + 5*y + 15, 0 = y + 5. Sort x, i, -1, -2.\nAnswer: i, -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7788 + -13410. Which is bigger: -2\/7 or n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:55 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3609228964 to the nearest integer?\nAnswer: 60077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (5 + -6 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (15 - -4 - 19 - (0 - 6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1602773 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36\/111289 + 9597111\/262864618. Calculate the common denominator of 91\/2 and s.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k**3 - 49*k**2 - 300*k - 21. What is the tens digit of j(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 - 914*x + 11278. Calculate p(68).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12596 (base 10) to base 13.\nAnswer: -596c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -33. Let y be (6\/o)\/((-5)\/(-10)). Let f(b) = 12*b + 3. What is the tens digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-83036)\/5*(-2460)\/984.\nAnswer: 2, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269419563 is divided by 788?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14272746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(-2)\/(-16) + -2. Let r = -0.094 + -0.906. Which is the closest to r? (a) 3\/7 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-9) + 554\/60 and 95\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18. Suppose -102 = -5*x - 3*d - z, -5*d + 56 = 2*x. What is the remainder when 70 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -10*h. Solve -u + 4*a = 2*u - 12, -5*u + 2*a + 6 = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x + 0 - 3\/5*x**5 + 3\/5*x**3 + 3\/5*x**2 - 3\/5*x**4.\nAnswer: -3*x**2*(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 540 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u*u**(2\/29)))\/u))**(-2))**(-9\/7) assuming u is positive.\nAnswer: u**(1080\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10457984063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 7*s = -2. Let v = -16 - s. Let j = -13 - v. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1219675.19 less than -46096?\nAnswer: 1173579.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 + 4*c + 71. Let s be n(-6). Is s at most as big as -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 124?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -55*h**2 + 132*h. Let a(j) = 11*j**2 - 24*j. Let m(u) = 11*a(u) + 2*y(u). Let z(w) = 91*w. What is m(z(n))?\nAnswer: 91091*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -0.3 (b) -8.014 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013557 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**15)*h**3*h*(h\/h**(1\/3))**19)**21 assuming h is positive.\nAnswer: h**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/3, -58984, 5, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*v - 10000, 2*v + v + 39977 = 4*i. Let p = -199993\/20 + i. Calculate the common denominator of -51\/2 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-366)\/12)\/(1\/(-6)). Suppose -5*a + 92 = -t. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 4*h**2 - 4*h**2 + (h - h - h)*(-2*h**2 + 3*h**2 + 0*h**2) + h**3 + 7*h**3 - 7744*h + 7663*h to j + n*h**2 + a*h**3 + t*h and give t.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1644500 and 17050?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2809 divide 404147548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4775 + 4775 + 4663*h to the form v + p*h and give p.\nAnswer: 4663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let n(q) = 27864*q. What is n(a(j))?\nAnswer: -55728*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-144)*-4)\/(3\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -14402354?\nAnswer: -14402403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7))**(-5\/3)*(y*y\/(y**(-22)*y))\/(((y\/(y\/y**(-2\/29)))\/y)\/y*y*y))**(1\/8) assuming y is positive.\nAnswer: y**(1511\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/850 and 48\/935.\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1250?\nAnswer: -1\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -22*r + 41*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140601 + -140608.8227. What is f rounded to one decimal place?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (264\/(-16))\/((-6)\/20). Suppose w = 5*g - 6*g. Let v = g - -172. Calculate the greatest common factor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11039 is divided by 345?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2386280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + r = 0, -5*j - 11*r + 13 = -15*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -807, -8, 9, -3, 3 in decreasing order.\nAnswer: 9, 3, -3, -8, -807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 26 - 26 = 0. Let q(w) be the first derivative of 3\/5*w**5 + 0*w**p + 0*w**2 - 6 + 0*w + 2*w**3. What is the third derivative of q(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**2 - 2*v + 3. Give q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 7033064.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 762*f + 371. What is y(153)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2 = -3*d + 2*m, -d + 3*m - 7 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let u(y) = 130077*y**2. Give u(b(r)).\nAnswer: 520308*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naaann. Give prob of picking 3 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 13 = -a, 0 = -a + 5*a + b. Let i(r) = 5*r. Let c be i(1). Suppose 2*v - c = a. What is the least common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 72 = 5*s. Suppose -20 = 5*b, 0*x - b = -2*x + s. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 10*q**2 + 8*q - 6. Calculate the lowest common multiple of 7 and i(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4 + 2. What is v in -2*v**4 + 3*v**p + 51*v + 2 + 4*v**4 - 4*v**2 - 54*v = 0?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1269*p - 1269*p + 39*p**2)*(-6 + 2*p**3 + 6) + 2*p**5 + 3*p**5 - 3*p**5.\nAnswer: 80*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314461?\nAnswer: 59, 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39*(-3 - (-3 - -1)). Find the common denominator of d\/(-6) + 3\/3 and (-79)\/80 - (6\/5 + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*6\/24*(1 - 1). Suppose 3*z - z - 12 = 4*g, l = -g - 1. Suppose 4*t = r + 46, -z*r - 40 = -5*t + t. Calculate the highest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 15 + 12. Calculate the least common multiple of (-21)\/f - 3\/9 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642686633?\nAnswer: 37, 469457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 7, -1\/4, -40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-553)\/(-1343))\/((-25)\/(-2125))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:27 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5*r + 2496*l**3*r**3 + l*r**3 - 10*l*r + 3*r**2 + 27*r wrt l?\nAnswer: -40*l**3*r + 14976*l*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*y - 0*y. Suppose 0 = -4*i + y + 91. Suppose 4*j = i + 52. What is the least common multiple of j and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 11*o**2 + 30*o + 3. Let s be l(-5). Determine y so that 0 + 2\/3*y**2 + 2\/3*y**s - 4\/3*y = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*351.05.\nAnswer: 140.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6556737.\nAnswer: 3, 11, 198689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 - 6*t + 2. Suppose 3*l = -k + 10, -k + 3*l - 2 + 0 = 0. Suppose k - 9 = -r. What is a(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:06 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 2*j - 1340 - 2*j**2 + 1340.\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12771, 51084, 114935, 204324, 319251?\nAnswer: 459716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 1750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f**2)*(-215 + 215 + 4*f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -12 (c) 3 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -43) + (5 - (27 - 6)) - -24 - 50\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let p be b(2). Let w be 153\/(-2)*p\/(-3). Round w to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(-4*b + 0*b + b) + 479 + 0*b - 395 - b as u*b + j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.31 * 0.1.\nAnswer: 0.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 - 185. Which is the nearest to d? (a) 0.8 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 21*l - 31*l**2 - 23*l.\nAnswer: -31*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*j**3 - 130*j**3 - 10*j - 591 + 296 + 295.\nAnswer: -25*j**3 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 5)\/(2\/8). Solve 6 = -2*f - p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/4002 and -113\/7176.\nAnswer: 208104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 6*f)*(-39*f - 31 + 17*f + 23*f).\nAnswer: 4*f**2 - 124*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.867 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from wswwcjs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*((-6)\/222)\/(7\/((-49)\/(-7))).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2548809 to the nearest ten thousand.\nAnswer: 2550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012221997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 794 (b) 5 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 4. Let a(y) be the first derivative of -45*y**2\/2 - 35*y + 167. Determine 4*a(o) + 35*b(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -146, -166, -140, -56?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + 0 - 0 - (6 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 3, g: 1, n: 2, t: 1, i: 4}. What is prob of sequence it?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*g*q**3 + 2*g*q**2 + 47*g*q - 8362*q**3 - 810313*q wrt q.\nAnswer: -1200*g*q + 4*g - 50172*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180 - -180. Suppose 3*o - d = 0, o - 2*d = -0*d. Suppose 11 = 5*s + 1. Solve o*x - s*x = 6, -2*b - 5*x - 13 = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - 0) - (-40 + 42).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ciizcziziziziiiizii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -25. Let j be (-13)\/o + (-394)\/(-4). Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let m be -1 + 35\/45 + 140\/(-18). Let z be c(m). Suppose -58 = z*v - 1962. What are the prime factors of v?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 14*u**2 + 17*u + 13. Let i be p(-16). Is i + 4 + 0 - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -9 - 6)*-1. Is ((-1)\/3*j)\/(4\/81876) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 9:43 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-368)\/(-1380))\/((-24)\/40).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 85544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 2*m + 20. Let g = -2 + 0. Put m, -1, g in decreasing order.\nAnswer: m, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25))\/(16\/40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) -5\/4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700) + -1 + -1 + sqrt(700))*-4 + (sqrt(700)*-1 + sqrt(700))*-1 + (sqrt(700) - (5 + 1 + sqrt(700))))**2 + 5.\nAnswer: -480*sqrt(7) + 100809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.9781 + 32. Let l = -0.024 + s. Round l to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.61mg in grams?\nAnswer: 0.17161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/15 + 2*x**2\/15 - 16*x\/15 - 8\/5 = 0. Calculate x.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5623562527?\nAnswer: 11, 511232957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x. Let c(j) = -j**2 + j + 1. Let u(k) = -3*k**2 + 4*k + 4. Let v(g) = 4*c(g) - u(g). Give m(v(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8137292 and 61117?\nAnswer: 56961044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -236 - 63?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9807 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3524, -4 in ascending order.\nAnswer: -3524, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38192, 38193, 38194?\n\"Answer: m + 38191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8154 minus 2.6?\nAnswer: 5.2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 37962 and 113884\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 80631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61039 - 30939. What is t rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.425 times -26?\nAnswer: 11.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1082 - -1086. Solve x*p - 25 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -4*j - p - 343, 0 = 5*p + 25. Let s be 1\/(-4) - j\/8. Let r = 4 + -1. Sort r, s, -2 in ascending order.\nAnswer: -2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159730, -319492, -479254, -639016, -798778, -958540?\nAnswer: -1118302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.37 + 0.13. Let r = -0.1 + -0.1. Let x = 8 - 33\/4. Which is the smallest value? (a) x (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(((3*sqrt(210) + sqrt(210))*-4)\/sqrt(10))\/(sqrt(175)*2 + sqrt(49)\/(sqrt(63) - sqrt(7))).\nAnswer: -160*sqrt(3)\/21 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by -520.\nAnswer: 41\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 30. Suppose 3*x + f + n*f = 2454, 3*x = -2*f + 2457. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96560 divided by -48280\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 2*s + 2*s - 3. Suppose 4*y = 7 + 1. List the prime factors of g(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298 + 46*z**2 + z + 298 + 304 + 0*z - 897 - 5*z**3 to u*z + n*z**2 + b*z**3 + o and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*q + 316*q + 328*q)*(3*q - q + 0*q).\nAnswer: 942*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/20 + 2*u**2. Let g = 6 - 4. Let z(b) = 3*b**2 - b**2 + 0*b**g. Give q(z(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 553742.5mg in nanograms?\nAnswer: 553742500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6*g - 2*g - 8, -m + 3*g = 6. Let s be m + (-2)\/(4 - (-234)\/(-57)). Calculate the greatest common factor of 209 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/6, 0, -0.3, 0.2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1540416 (base 7) to base 12.\nAnswer: a2489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 + -245. Let i = c - -80. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:18 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 41771592?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -74, -75?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 49510*x + 1 + 49507*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/3 + 2 + 2 + 0. Suppose -m*c - 18 = -48. Solve -q + 3 - 6 = -3*d, q + 3 = -c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.13415 centuries to millennia.\nAnswer: 5.013415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12683\/8458 + 2\/4229. What is the nearest to 0.2 in 17, 1, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:20 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 3*u + 3*u)*(u - 4*u + 2*u) + (-4*u - 1 + 0*u + 2*u)*(0*u + u + 0*u) to g*u + o + x*u**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -55, -57, -59, -61, -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 39*h + 1. Let q(a) = a. Calculate 6*q(v) - u(v).\nAnswer: -33*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.4, 1\/2, -0.1, -301, 2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (111 - 138 - (0 + 1 - -2)) + (-2 - 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3593 or -3?\nAnswer: -3593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -293.18 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47380 and 138?\nAnswer: 142140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppk when three letters picked without replacement from {p: 2, z: 3, a: 10, k: 5}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-5206)\/(-8) - (-72)\/(-96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8856, -17688, -26520, -35352, -44184, -53016?\n\"Answer: -8832*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -782 (b) -1 (c) 4 (d) -331 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 291 by -1.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-20\/9)\/t)\/t*t\/(t\/(t\/(t*t**(-2\/21))))*t)**(3\/5) assuming t is positive.\nAnswer: t**(-197\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222182459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 1.339557.\nAnswer: -10.339557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 - 14*y - 39. Determine h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.906 and -0.054809?\nAnswer: 37.960809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -29. Let j = k + -13.12. Let a = j + 0.61. Round a to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -16*d**2 + 3*d - 11. Let x be y(0). Are x and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -160. Suppose -c*x + 1620 = -1044. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1255)\/1004)\/((-10)\/16). Solve 2*p - 5 = f, -t*f + 2 + 0 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 234, 329, 404, 453, 470?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103551 rounded to three decimal places?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/16853620 and 62\/5.\nAnswer: 16853620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11822809 or 0?\nAnswer: 2\/11822809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 - 0.76. What is v rounded to 1 decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.07827 and 0.101.\nAnswer: -2.22990527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 1 = 4*c. Let t = c + 22. Suppose -t*v = 3*v - 1902. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Solve -4*j + j + m = 9, f*j + 9 = 5*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 24. Let m be -4*(22\/j + -3). Suppose 9 = r - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + l**2)*(l**2 - l**3 - l**2) - 2*l**5 - 2*l**5 + 2*l**5 + (39*l**2 + 19*l**2 + 283071*l + 89*l**4 - 283071*l)*(l + 0*l + l).\nAnswer: 175*l**5 + 116*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 5*m**2 - 2. Let j be (-11)\/1 + (-5 + 3 - -9). What is d(j)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2985287*v - 5970571. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/32 greater than or equal to -2102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24028*d**3 - 6929*d + 6929*d.\nAnswer: 24028*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -935 - -1816. Let f = s - 54623\/62. Are f and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**2 + 1. Let y be p(-1). Suppose -m - y = -3*n, -3*n - m + 3 + 2 = 0. Suppose -n*t - 93 = -6*k + k, t = -3*k + 67. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298970892 a multiple of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.0735?\nAnswer: 0.3675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972 divided by -6.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x - b = -29, 0 = x - 2*b + 3. Let p(u) = 3*u**2 + 6*u - 5 - 5*u**2 + 0*u**2 + u**2. Calculate p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -146, -152, -154, -152?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 520 = 26*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19557 (base 10) to base 14\nAnswer: -71ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -117, -6\/13, -291?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - -2) + (12 - 11) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4 + 72*d**3 - d**2 + 346*d + 8684812 wrt d.\nAnswer: -4*d**3 + 216*d**2 - 2*d + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2384*k + 936. Let n be x(21). What is n rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-7\/5)\/w*w)\/((w\/(w\/w**(1\/9)))\/w))\/(w\/w**(-9)*w**(-12)))**(1\/45) assuming w is positive.\nAnswer: w**(112\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c34 + 15c?\nAnswer: -2ad8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -185795, -185488, -185181?\n\"Answer: 307*o - 186102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from pppptphhpp.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1083653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100082 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 5. Let b = h - 7. Solve -13 = 3*r - b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 71. Suppose 0 = -4*s - 4*s + y. Solve -m = s, 3 - 2 = -5*t - 2*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 47. Suppose -n = 2*o + 42, 5*o = q*n - 3*n + 93. Round n to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -16\/27 (b) -4 (c) 5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from asaasaaassaasaaa?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(105)\/sqrt(45))\/(-5*2*sqrt(28)\/sqrt(4)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((7\/7)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 181, 166, 135, 82, 1, -114?\n\"Answer: -j**3 - 2*j**2 - 2*j + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 500664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144145*v**2*x**5 + 8*v**2*x**2 - 2*v**2*x + 298*v**2 - x + 315 wrt x?\nAnswer: -2882900*v**2*x**3 + 16*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416 - 981302.\nAnswer: -979886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 413*y + 7568. Give a(157).\nAnswer: -1538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (54\/3591)\/((-210)\/2205)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/60 + d**5\/15 - d**4\/4 - d**3\/6 + 36*d**2. What are the prime factors of l(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 870.489 kilometers?\nAnswer: 870489000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 0 - 4 - 597*z**2 + 205*z**2 + 4. Let o(u) = -2*u. Determine w(o(i)).\nAnswer: -1568*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/50)\/((-81)\/(-270)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6\/(120\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 + 2*x**3 + 5*x**2\/2 + x - 1. Suppose -85 = -16*r + 11. Is a(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/(-1)*9. Suppose -5*j + 23 - w = 0. Solve -j*v = -3*z - 5*v + 5, -5*v - 17 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.255 times -0.4\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 340525, 681044, 1021559, 1362070, 1702577?\n\"Answer: -2*h**2 + 340525*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 63700734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 147, -2, 9\/4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0836196 rounded to two dps?\nAnswer: 4.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1433 + -1433. Let o = -0.02 - 1.98. Which is the closest to p? (a) o (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 9 (b) -5 (c) -8635\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7521 + 4089. List the prime factors of r.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 634*f - 2548. What is a(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 132 = 3*d. Suppose 0 = 2*t + 4*b - 2*b - 24, d = 3*t - b. What is the remainder when 26 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3530 and 11.895583961.\nAnswer: 3541.895583961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -714819 times 0.046\nAnswer: -32881.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000110201 - -112000?\nAnswer: -2222221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31012582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 170 - 3*a**2 + 81.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.2. Let z = -1.044 - -0.044. Which is the closest to x? (a) -3 (b) z (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/5 - (-18690)\/(-2800) and 349\/(-96) - (-4)\/6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 divided by 147008\nAnswer: 211\/73504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 289. Calculate g(53).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2 - n - n + n**2 + 0*n. Let o be u(2). Suppose -3*i + 140 = o*i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 21\/3 - (-4 + -6 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*j + 27 - 4, 0 = -4*j + 2*c + 16. Suppose j*h = 5*r + 5*h - 1443, -5*r = h - 1444. What is the greatest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40934.\nAnswer: 2, 97, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -0.105 (b) 2 (c) -62094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**2 + 224*t - 212.\nAnswer: -4*(t - 1)*(3*t - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i = 2. Suppose o + i = 1, -4 = x + 4*o. Put -5, -1, x in descending order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and 2605.445.\nAnswer: -96.401465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313 is divided by 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 0.5, -0.2, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11677, -11899, -12123, -12349, -12577, -12807, -13039?\nAnswer: -13273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -1. Let h be (2\/4*o)\/(-9). Let s = -58 - -291\/5. Put h, s, 0.5 in decreasing order.\nAnswer: 0.5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -701 (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 5. Suppose -4*r = -6*r. Let x be l(r). Suppose -d + 0*d = -x. Solve -5*a + 0*a = d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(33\/(-8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 35*a - 102. What is s(7)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 1, -5, 2, 16 in descending order.\nAnswer: 52, 16, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 - 1012*i**4 + 314*i**2 wrt i?\nAnswer: -120*i**2 - 24288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101508106*k**5 - 105893*k**2 - 3956.\nAnswer: 6090486360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/4)\/1*-2. Suppose p*o + 36 = o. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*n**3 + 346*n.\nAnswer: -1272*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2172 - 654. Is r a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4248493 to the nearest integer?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*z + 4, 3*w = -2*w - 2*z - 7. Let n be 2*((-14)\/16 - w). Let r be 3\/(-6)*4\/(-5). Which is the nearest to n? (a) 2\/3 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3\/3 + 178739744*u**2\/3 + 1996742969104756*u\/3 - 3993488083086728 = 0.\nAnswer: -22342471, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/56551?\nAnswer: 3\/56551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.24123 millilitres in litres?\nAnswer: 0.03424123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**2 - 55*g**2 - 49*g**2 + 178*g**2 - 38*g**2 - 28*g**2.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/30 + b**5\/3 + b**4 - b**2 - 23*b. Solve a(i) = 0 for i.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7 - 1. Suppose 4*p = n*y - 12, -3 = p + 3*y - 4*y. List the prime factors of ((-1)\/p)\/((-12)\/(-612)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43385973430 and 0.79.\nAnswer: 43385973430.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 - -863778?\nAnswer: 863747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 - (17 - 1)) - (-1 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + i**2 + 2*i + 1. Let l(b) = -6*b**3 + 11*b + 5. What is -6*c(t) + l(t)?\nAnswer: 6*t**3 - 6*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-57)*(1 + (-28)\/22)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -8.1. Let q = 7 - o. Put q, -5\/3, 5 in descending order.\nAnswer: 5, q, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -159. Let d = -44 - l. Suppose -2*m + 140 = -4*h, 0 = 2*h + d - 2. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -406 - -424. What is the remainder when i is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1106 + 1167 - (-21 + (4 - (2 + -2)))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from bjjjjjyby.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14196 is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/(-12)*-4)\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 - 23*i**2 + 72 as n*i + m*i**2 + d and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 12fc?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15631301?\nAnswer: 7, 67, 33329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1560, 1546, 1486, 1356, 1132, 790, 306, -344?\n\"Answer: -4*i**3 + i**2 + 11*i + 1552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from hauzwuurwz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7)**5\/((j**(14\/11)*j)\/j**(-1\/23)))**(-2) assuming j is positive.\nAnswer: j**(-16538\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/3813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 2*l + 1. Let f be x(-1). Suppose 0 = 37*v - 1104 - 3817. Calculate the remainder when v is divided by (-14)\/(-21)*81\/f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5\/2))\/(h**(-4)*h*h))**(-28\/9)\/(h\/h**(-2)*h**(4\/11))**(4\/7) assuming h is positive.\nAnswer: h**(-13190\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 - 2*h + 2*h)*(-3*h**3 + 3*h**3 - 3*h**3) + (2*h**4 + 4*h**4 - 5*h**4)*(0*h - 4*h + 5*h).\nAnswer: 19*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4890076 to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 - -3)) + 9 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 787184.499472 + -787004.5. Let z = c + -180. Round z to five decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17482.\nAnswer: 2, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(5 - 0)\/1. Suppose l - 1 = 3*r, 2*r = 3*r + x*l - 5. Suppose 0 = -f - r*f + 68000. What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796805 to the power of 1\/2, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - 5\/(-3). Let y = 1 + r. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.72 + -3.62. Let f = -131\/6 + 22. Let v = 12 + -17. Which is the nearest to i? (a) v (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*s + 43*s - 8025 = -89*s - 226*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101734727281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 73 = -z, 110 = -4*p - 5*z. Let h = -7 - p. Solve -h = 4*w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.33 - -0.3. Let d = m - -0.03. What is the closest to d in -4\/7, 4, 5\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 15*y + 0*y + 0*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgtqqggvq. What is prob of picking 1 q and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*4\/(-24)*3. Let q = h - -3. Solve -d - s = q*d - 1, 3*s - 3 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134342698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8626543.\nAnswer: 29, 297467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 5*o - 2379 = -2406, 3*o = -3*b + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5)*(-5)\/2*60\/(-440)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-484)\/140 + 3)\/((-6)\/(-15)). What is the smallest value in k, -0.1, -2, -1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(15)\/((-3*sqrt(20))\/sqrt(4)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.3. Let j = -2 - d. Let k = -1 - -5. What is the closest to 2\/3 in k, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 6*k + 12*k**3)*(-9*k**2 - 12*k + 12*k).\nAnswer: -108*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 1, g: 1, w: 2, m: 2, p: 3}. What is prob of picking 1 t and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9014.441 nanometers to kilometers.\nAnswer: 0.000000009014441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200 - u + 173 - 498)*(-3 - 5 + 5).\nAnswer: 3*u + 1575","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 406293.98 and -4.\nAnswer: -1625175.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6373 + 3.6.\nAnswer: 6376.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30866036 by 421.\nAnswer: -73316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -5*y - 2*y. Suppose -5*k = 4*r - y - 1, -3*k = 0. Solve -2 = z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**23\/g*g)**(-1\/23) assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 719, 1437, 2155, 2873, 3591, 4309?\n\"Answer: 718*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76920 - 31273. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -0*b. Solve -3*h + h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5658 - -12618. Is 80 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6697597546 to the nearest integer?\nAnswer: 81839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j**2. Let p(t) = -3*t**2 + 13*t**2 - 7*t**2 - 4*t**2. Determine p(i(n)).\nAnswer: -256*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) 0.3 (c) -331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2. Let h(f) = 2*f - 25. What is h(m(t))?\nAnswer: 6*t**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*f + 25*f - 2*f**2 - f**2 + 0 + 0 + (-f + 2*f + f)*(1 + f - 1) + 2*f**2 + 2 - 2)*(3 - 3*f - 3) - f**3 + 9*f**3 + 7*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1325*z**2 + 243 + 644*z**2 + 680*z**2 - 243.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172542832, 172542827, 172542820, 172542811, 172542800?\nAnswer: 172542787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 45*k + 229. What is the tens digit of l(59)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 0*m)*(-2 + 2 - 2*m**2) + 2*m**2 - m**3 - 2*m**2 + 175*m**3 - 353*m**3 + 176*m**3 - 4 + 2*m.\nAnswer: -5*m**3 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 + 4bb27?\nAnswer: 4baa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*c**3 - 8*c + 8*c)*(-32 + 68 + 18*c - 35) to the form v*c**2 + k + d*c**3 + b*c**4 + f*c and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9862684*c**3 + 33*c**2 + 15*c + 1759 wrt c.\nAnswer: -59176104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + b - 30, -4*b + 10 = b. Suppose i + l - 2 = 0. Let a be (i - (-3)\/(-3)) + 8 + -5. Put -2, a, 3, -5 in descending order.\nAnswer: 3, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-5*n + 3*n + 3*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73494772 to the power of 1\/2, to the nearest integer?\nAnswer: 8573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 273\/18 + (-1)\/6. Let q = -0.02 - -0.02. Let a(w) = w**3 + 4*w**2 - 14*w + 4. Let n be a(2). What is the closest to n in -0.2, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 7*c + 7*c)*(-5 + 2 + 4)*(c - 6*c - 3*c).\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + (sqrt(1331) - (-4 + (5*sqrt(1331) - sqrt(1331)))**2) + -5*sqrt(1331) + -4 + 0 + sqrt(1331) + -1 + -3 + 0.\nAnswer: -21320 + 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1146 + (-2*4)\/4. Is (-1 - (t - -1))\/((-18)\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1056.3 + 1065.3. Put g, -0.036, 1\/7, -4 in increasing order.\nAnswer: -4, -0.036, 1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i - 234 = 147 - 121 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-15))\/((-81)\/5400*-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -140*m - 3775. Give p(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10807412 = -5*b - 6*q - 10807374, b = -3*q + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2878 - -3770. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s + 2. Let o be b(-7). Suppose -m = -4, 2*t - 4*t + m = -o. Let r be (20 - 0)*(-2)\/(-5). Calculate the greatest common factor of r and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**7\/7560 + b**6\/3240 - 22*b**3\/3 - 40*b**2. Let n(c) be the first derivative of x(c). Find s, given that n(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 184 = -9*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let t = 633.3 + -633.3. Which is bigger: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169 is divided by 465?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 13 + -8 - (4 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22734456 (base 8) in base 13?\nAnswer: 1049a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 3*u + 2995, 5*n = -5*u + 3735. Suppose 3595*q + n = 3599*q. What is the highest common factor of 136 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-11470)\/888*8\/(-50).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2299) - ((sqrt(2299) - 1*sqrt(2299)) + -1))**2*-4*-5.\nAnswer: 440*sqrt(19) + 46002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -7)*1*(2 + 1). Let a = y + -13. Let s(u) = -u**2 - 2*u - 4. Calculate s(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-5856271\nAnswer: -40993897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 7 + 3. Let x be (27\/6)\/(1\/f). What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6441)\/(-1190) - (-1 + 0). Let i = s + -3\/238. Find the common denominator of i and -5*(-9)\/105 + 1185\/(-168).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179025029 - 2909?\nAnswer: -179027938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, h: 9, z: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 86. Suppose s + l*w - 65 = -2*w, -s = -5*w - 95. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 13 + 22. What is the closest to 0 in 0.3, y, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -7, 3, -0.15071 in decreasing order.\nAnswer: 3, 1, 0.1, -0.15071, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13582 = -1917*v - 53839 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7377*x - 73798. Give d(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 10. Let p(t) = -9*t**3 + 10*t**3 + 3 - 5*t + 5*t**2 + 3. Let v be p(c). Solve v*f - 4*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-30) + (-102)\/36. Let f(g) = g + 5. Calculate f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ognngyyddyzn. What is prob of sequence yz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-6 - 1) + -9157 + 9234?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8533776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14137 - 14132. Let i = 33\/2 + -17. What is the closest to i in k, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l**2 + 66*l - 62*l + 54*l**2.\nAnswer: 12*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 943305 and 39?\nAnswer: 12262965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 94 (b) 0.02 (c) 4\/3 (d) -2\/17 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x + 6 = -a, -3*a = -3*x. Let g = -2 - x. Let m = 2 + 0. Calculate the remainder when m is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.631 and 891?\nAnswer: 59368.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-34970.9.\nAnswer: -734388.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81186 and 432992.\nAnswer: 1298976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 r, and 1 c when four letters picked without replacement from {c: 1, o: 12, r: 6}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37996 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**6\/60 - k**3\/3 + 3*k**2\/2 + k. Let l(s) be the first derivative of m(s). Differentiate l(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 92*s - 937. Calculate the remainder when 1718 is divided by f(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66047.\nAnswer: 66047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.9 - 81. What is x rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38568 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -3\/2*a**2 - 16*a - 1\/4*a**4 - 42 - a**3. Is w(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1196 by 13.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 - (0 - -8 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4365)\/7 - (-18)\/(-42). Let h be 1*-2 - u\/325. Which is smaller: -2\/7 or h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 3*n + 2*n)*(-619*n - 21730 + 65189 - 21732 - 21726) as o*n**2 + f*n + i and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 65. List the prime factors of 8\/(-10)*2\/(u\/(-690)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57274 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20847699.1 to the nearest ten thousand.\nAnswer: 20850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70080312*a*p**3 - 3*a*p - 2*a - 25*p**3 + 192*p**2 - 4*p + 4 wrt a?\nAnswer: 70080312*p**3 - 3*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + -1 + 88\/(-12). Let l = t - -12. Solve l*q + 1 + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1292 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.16, 10, 3, -4 in descending order.\nAnswer: 10, 3, 0.16, 2\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334\/253 + 371465\/1771. Let h = u - 208. Suppose -3\/7*l - h*l**2 + 0 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d - 2 + 0 + 1)*(-4*d + 2*d - 3*d - 11*d + 2*d - d + (6*d + d + 3*d)*(1 - 1 - 1)) to p*d**2 + k + o*d and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -1. What is the tens digit of (-3)\/2 - 74\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j - 2*j)*(-3*j + 0*j + 0*j)*(-21 - 47 + 33) in the form u + f*j + q*j**2 and give q.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (2 + -6)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 + 7*i + 4. List the prime factors of x(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3495\/212 - 14\/53. Calculate the common denominator of 55\/38 and w.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 570136?\nAnswer: 570136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*t - 27, 4*t = -n - 3*n - 16. Let l = n + 7. Let y(i) = 1 - i**2 - 2*i**l - i**2 + 3*i**2 + 5*i. Determine y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 12 = 0. Suppose -2 - 6 = -2*v. Solve -v = -a*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.3. Let y = p - 0.4. Let b = 11 + -15. Put y, b, 5 in increasing order.\nAnswer: b, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3115 and 5425?\nAnswer: 482825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -s - 3*z - 4, 2*z - 16 = -s. Suppose 8*x = 3*i + 3*x - 16, 5*i = -2*x + s. Suppose -i*q - 30 = -32. What is the closest to 1 in -5, q, 2\/31?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173585*g**3 - 3*g**2 - 114*g + 27648337?\nAnswer: 520755*g**2 - 6*g - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 11*c = 104 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 13 = 119. Calculate the least common multiple of 72 and m.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/24*1*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58263565*n**4 - 2*n + 129971793 wrt n.\nAnswer: -233054260*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from embebeemmembbe?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 0)*3.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 16453.323?\nAnswer: 16453.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -3) + (98 + -46 - 174)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/26? (a) -1\/6 (b) 4\/5 (c) 0.1 (d) -1 (e) -2\/321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-108)\/(-21))*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-4 + (21 - -2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 531190 divided by -11?\nAnswer: -48290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2 - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.054 - 0.054. What is the biggest value in 0.4, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9592086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 755827.\nAnswer: 3779135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28938*d + 15208.\nAnswer: -28938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 27 - 17*g - 12*g + 30*g. Does 3 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/19 + 1075678*y\/19 - 1075716.\nAnswer: 2*(y - 19)*(y + 537858)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*m = 2, -m - 129 + 143 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-32)\/(-25))\/((-8)\/(-20)). Which is the fourth biggest value? (a) -4 (b) -1 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4956 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {z: 4, w: 8, p: 1}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcccvvv. What is prob of sequence vvcv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, t: 2}. What is prob of sequence nt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 77*k + 565. What is l(27)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36328*v**3 - 447*v + 56?\nAnswer: 217968*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 300748*c. Let j(r) = 3*r. Calculate x(j(a)).\nAnswer: 902244*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/180 + 7*p**5\/180 - 5*p**4\/72 - 2*p**3\/9 - 14*p**2. Suppose l(s) = 0. Calculate s.\nAnswer: -4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g**(-3)*g)**(-38)\/((g\/g**(-2\/9)*g)\/(g*g**5))**(-34) assuming g is positive.\nAnswer: g**(-2866\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = a + 98. Let n = 23 - a. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Suppose 0 = -3*l + 3 + x. Let p(b) = -b**2 + 7*b**2 + 7*b - 3*b**2 + 1 - l*b**2. What is p(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1614952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/1512 - p**7\/945 - p**6\/270 + p**5\/135 + p**4\/108 - p**3\/27 - 7*p**2. Factor c(k).\nAnswer: 2*(k - 1)**3*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 809*d**2 + 643*d - 3877. List the prime factors of c(6).\nAnswer: 5, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549826 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*m**3 - 30*m**3 + 687*m**3 + 62*m**3 + 8*m**3.\nAnswer: 1066*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180\/(-40)*(1 + 26\/(-6)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 26*l**2 - l - 24. Let q(a) = -9*a**2 + 8. Give 7*q(j) + 2*v(j).\nAnswer: -11*j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13512?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 405128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.232848999 to 3 decimal places.\nAnswer: 1.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408 + 493*d**3 + 205 + 457*d**3 + 203.\nAnswer: 950*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -21*h - 9. Let w be z(-5). Suppose 2*c = 3*a + 4*c - w, 3 = -c. Calculate the remainder when a is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586987251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(20)\/sqrt(64) + 2 + -2*sqrt(405))*-2.\nAnswer: -4 + 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60888825 - -0.3\nAnswer: -60888824.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 214518531.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9829504 micrograms to tonnes.\nAnswer: 0.0000000000009829504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194887\/3 + 60779. Let j = x - -4220. Let -j*r**2 + 52\/3*r - 8\/3 + 25*r**3 = 0. What is r?\nAnswer: 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, u: 1, w: 1, l: 1, f: 5, c: 4}. What is prob of sequence wfcu?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1) + (-928)\/58.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) - -2*sqrt(336) - sqrt(336))\/sqrt(7))**2 - sqrt(15)\/(sqrt(5) - sqrt(605)*-1)) + (-2*(4*(-1*sqrt(192) + sqrt(192)) - sqrt(192)))**2*-4.\nAnswer: -2880 - sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 5.5. Let y = 8 + w. Let a = y + -2. Is -1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 36. Calculate the remainder when 23 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -726 divided by 3?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36627769*u**2 - 20*u - 302763.\nAnswer: 73255538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16572361*g**2 - 13308376?\nAnswer: -33144722*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkdvsvssvvsvkks. Give prob of picking 1 v and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 796, 813, 854, 931, 1056, 1241, 1498, 1839?\n\"Answer: 2*n**3 + 3*n + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d**3 + 0*d - 2*d)*(3 - 4 + 4).\nAnswer: -3*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1134) + -1*sqrt(1134) + sqrt(1134)))\/(-1*sqrt(50)*-3).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/((-49)\/(-4)))\/((-2)\/(-7)). Suppose c*m + 25 = -3*m, 4*m + 8 = -4*o. Suppose -1148 = o*q - 10*q. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.52 + 4.94. Let w = f - 1.51. What is w rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) -7 (c) -25 (d) 4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, 2\/9, 0.4, 0.1, -2, 140\/31, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-4 + 2))*7\/(-14). Put 2, 4, 5, m in descending order.\nAnswer: 5, 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 2*d**2 - 92*d - 119. Calculate y(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -0.2, -4, 731, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -0.3 (c) -1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195320*q + 257*q**3 + 2*q**2 - 195320*q.\nAnswer: 257*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014 + 114?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 8214*n**5\/13 - 2743402*n**4 + 31460308*n**3\/13 + 89533456*n**2\/13 - 20281408*n\/13 + 1111296\/13 = 0.\nAnswer: -4\/3, 4\/37, 2, 4341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 345.\nAnswer: 344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1237, 2473, 3709, 4945, 6181?\nAnswer: 7417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4121820.9 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 + 2*d + 0 - 4 + 7*d. Let p(x) = 8*x - 6*x**2 + x**2 - 3 + x - x. Let t(f) = 3*h(f) - 4*p(f). Find the second derivative of t(q) wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 26 + 68*d + 15)*(-5 - 7 + 11)*(3 - 6 + 2) to h + n*d and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2943+0\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/7 - 244900*i**2\/7 + 1714128*i\/7 - 1469232\/7 = 0. Calculate i.\nAnswer: 1, 6, 61218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -3*a + 2165. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r - 25. Determine v(6).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176453\/3515 - 8\/(-10)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356850?\nAnswer: 2, 5, 47137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 8) + 20 - (47 - 27).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2. Let l be m(-5). Suppose l = 2*f - 5*f. Let k = 4 + f. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 697567314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 323, 485, 647, 809, 971?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*14\/7 - -83304. Round c to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/3? (a) 2\/5 (b) -7 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -442, 8, 0.\nAnswer: -442, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 4687*o**4\/4 - 1134*o - 305. Differentiate p(l) wrt l.\nAnswer: 14061*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**3 - 7*h**2 - 523*h - 2095. What is z(-4)?\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - -2 - (303 - 295).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*9\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2 + 3*q + 4 - 2*q. Let c be w(2). Let n = 9 - c. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 92?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 165*u**3 - 44*u**2 + 44. Let d(j) be the third derivative of -11*j**6\/120 + j**5\/20 - j**3\/2 - 62*j**2 + 2. Give 44*d(z) + 3*v(z).\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 1, a: 1, e: 4, x: 4}. Give prob of picking 1 a and 2 p.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-13)\/(a*a\/a**17*a))\/(a**(-1\/11)*a**(2\/9)\/a))**(1\/9) assuming a is positive.\nAnswer: a**(185\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*r = 7*f - 27, f - 15 = 3*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let l = -35 + 46. Let f(w) = 15*w - 31 - 2*w + 9 + l*w. Calculate -2*f(k) - 44*r(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/30 + 7*l**4\/24 - l**3\/3 + 1132*l**2. Let m(x) = 3*x**2 - 8*x + 2. Let t = 17 - 20. Give t*m(f) - 4*c(f).\nAnswer: -f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 1. Let r(o) = 14*o + 268. What is -r(f) + 5*s(f)?\nAnswer: f - 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w - 382 = -58 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30487, 60986, 91477, 121960?\nAnswer: 152435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 18*q. Suppose 3*u + 3 + 3 = q, 5*l - 5*u = 20. Solve 4 = -l*i, -2*g + i = -4*i - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/840 and -163\/32280.\nAnswer: 225960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3224940, 6449881, 9674822, 12899763, 16124704?\n\"Answer: 3224941*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/120 - l**5\/20 + l**4\/12 + l**3\/6 - 3*l**2. Let u be x(2). Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(58\/(-145)*-50*(-9)\/72)?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*h - 348*h + 216*h = -16082 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - 225.248. Let v = -1.248 - d. Let n(h) = -h**2 - 4*h + 5. Let c be n(-5). What is the biggest value in -0.9, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 2*h - 314 = 0, 9*i - 2*h - 2*h + 27 = -129 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003 (base 4) to base 13.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/400 and 91\/20.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426924.\nAnswer: 2, 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 32*a**2 - 1 + 1 - 33*a**2. Let z be 805\/49 + (-3)\/7. Let t(u) = -20*u**2 + z*u**2 - 10*u**2. Determine t(p(f)).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-75)\/125?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80905\/17759 - 196\/43. Let r = p - -831\/2065. Let r*z**4 + 0*z - 12\/5*z**3 + 0 + 18\/5*z**2 = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 180264056?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52152, -104300, -156448, -208596, -260744, -312892?\nAnswer: -365040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 13 - 23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8852 (base 15) to base 16\nAnswer: -70cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8*(-68)\/1343. Suppose 2*d + 8*w = 6*w, 3*w = -d + 2. Is d greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213561, -213115, -212671, -212229, -211789, -211351?\nAnswer: -210915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 5192712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*j - 85 = 1619*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135406, -270810, -406214, -541618, -677022?\nAnswer: -812426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from ttmttttttttttmtttt?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(14)\/sqrt(2) + -5 - sqrt(7) - (-2 + sqrt(112))))**2.\nAnswer: 64*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83542?\nAnswer: 2, 41771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 3*h - 9, -4*f = -3*h + 49. Let o(n) = n - 8. Determine o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 6 + 8 + -7 + (-1 - -4 - -1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18\/240)\/(36\/48)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -17 + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/50 + 18490\/(-172000).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2936 and 5.7?\nAnswer: 2941.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/54 + (2 - 1). Is y <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-36) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkqkkkkkqkkkkq. Give prob of picking 1 q and 1 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3) + (-288)\/(-54)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -120*n**3 + 83*n**2 - 17*n. Suppose 0 = -6*m - 0*m - 48. Let p(f) = -180*f**3 + 125*f**2 - 26*f. Let v(t) = m*s(t) + 5*p(t). Factor v(z).\nAnswer: 3*z*(4*z - 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = -108. Suppose -4*a = -3*a - 1. Let f = a - z. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -3, 4\/7, -1.5, -1\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*b + 53*b + 1937 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 36 = 18*i. Let t be i\/(7\/28*4). Calculate the greatest common divisor of t and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 148 - 141. Solve i = -j + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**5*u + 805*b**2*u - b*u - 25*b - 17*u wrt b?\nAnswer: 100*b**3*u + 1610*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v**3 - 8*v**3 - 2 + 21*v**3 - v**2 + 5 as z*v**2 + p*v**3 + l*v + x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 787 and 0.5?\nAnswer: 393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*r - 97*r + 1869*r**2 - 1867*r**2 - 11*r.\nAnswer: 2*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -0.2, -3, -0.15, -3097?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-23 - -9) + -7 + -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*x**2\/11 + 100*x\/11 + 16\/11.\nAnswer: -2*(x - 2)*(27*x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 7, 5 in increasing order.\nAnswer: 0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182.739 times -22?\nAnswer: 26020.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63758.6mm in centimeters?\nAnswer: 6375.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1268 and 752241?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**3 + 116*i**2 - i**4 - 12 - 34*i**2 - 8*i - 8*i - 40*i**2 - 39*i**2 = 0 for i.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182146 - 182053.961. Let w = -0.36 - 91.64. Let n = w + m. Round n to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**7)\/m)\/m*m\/(m\/m**(-6)))**(-2\/81)\/((m**(-6)\/m)\/(m*m*m*m\/(m*m**6*m)*m)*m**(-7)*m*m**(1\/12)) assuming m is positive.\nAnswer: m**(3325\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:44 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163079467*b**4 + 163613547*b wrt b?\nAnswer: 1956953604*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - 4*(-1 + sqrt(288)))**2*-1.\nAnswer: -2608 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 - 2*x\/7.\nAnswer: 2*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78346, 78257, 78122, 77929, 77666, 77321?\nAnswer: 76882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 784, 1566, 2360, 3172, 4008, 4874, 5776, 6720?\n\"Answer: x**3 + 775*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -3 - (-360)\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c + 50 + 13*c + 12 + 50 - 63 as a*c + v and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 4\/28*0. Calculate the remainder when 30 is divided by 6 + -4 - f - 8\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 1 c when three letters picked without replacement from {n: 4, c: 5, d: 1, f: 2, v: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.3936nm in meters?\nAnswer: 0.0000006253936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101569753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:57 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + -11 + 40 + -22 - (0 - 7)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 296 divided by 440\nAnswer: 37\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76836 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/24 + z**5\/6 + 5*z**4\/24 - 5*z**3\/3 + 10*z**2. Determine w, given that j(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5\/2*f**2 - 3 + 0*f. Let y(q) = -3*q. What is y(i(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 2, g: 2}. What is prob of sequence qgy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -2*o**7\/105 + o**6\/40 + 3*o**5\/20 + o**4\/12 + 22*o**2. Solve b(w) = 0 for w.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 8*l + 15. Let f be s(7). Suppose 11*t - 60 = f*t. Let n = t - -3. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 789, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473108 is divided by 491032.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -275. What is the remainder when q is divided by 0 - ((-66)\/(-3))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(12) + sqrt(108) + (((sqrt(363) + -1 - sqrt(363)) + sqrt(363))*5)**2.\nAnswer: -542*sqrt(3) + 9098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**5*v)**37 assuming v is positive.\nAnswer: v**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55060 divided by 8.\nAnswer: -13765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 3*m - 3*m - 6*m**2.\nAnswer: -6*m**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/945*162610\/92?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-416)\/10*110\/(-176).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 531\/91 + -4955\/728. Find the common denominator of v and 3\/14.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwlffwllbwl. Give prob of sequence bl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxsxsxssx. What is prob of picking 1 s and 1 x?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 0*r - r)*(4*r**2 + 13 - 13) - 2*r + 1 - 1 + r**3 as g + p*r**2 + h*r**3 + f*r and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.9099l to millilitres.\nAnswer: 54909.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (126*w - 154*w - 367*w)*(-17 + 7 + 10 + 25*w) as r*w + t*w**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 923798093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (1 - 13) + 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -239*d + 994. Let t be s(4). Let q(r) = -138*r + 4. Let z be q(-3). Calculate the highest common divisor of t and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -16.86. Is -1 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n + 4. Let j be h(0). Suppose -2*q = j*x - 18802, 0*x - x + 3*q = -4697. What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**3 + 14*h**2 - 15*h - 62. Determine b(-4).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 15 + 16. Calculate the remainder when s is divided by (-48)\/(-2)*89\/267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-15 + -13) - 16)*-8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/7 - 17610*i**2\/7 - 1745186*i\/7 + 1762794\/7 = 0.\nAnswer: -99, 1, 8903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 12\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 108805030 and 1\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5fc (base 16) in base 14?\nAnswer: 7b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0 - 5\/3*y**3 + 0*y - y**2 + 7\/24*y**4. Differentiate k(n) wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 2, a: 2}. What is prob of sequence aas?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b37 + 44ab?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.77589 - 0.771. Round d to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 2*o**2 - 3*o**2 + (2*o + o - o)*(-2*o + 5 - 5) + o**2 + 2*o**2 - 2*o**2 + 12*o + 40*o**2 - 12*o + 107*o**2.\nAnswer: 140*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2730887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 424*i + 5528. Let f be j(-13). Let c(b) = 7*b - 40. Let w(l) = -15*l + 81. Let r(z) = -13*c(z) - 6*w(z). Give r(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -989312, -1978693, -2968074, -3957455, -4946836?\nAnswer: -5936217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2654 - 882 - 886 + 47*w - 886.\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -263.\nAnswer: -263, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 27*f - 28. Let j be p(8). Which is the closest to -0.2? (a) j (b) -3\/8 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 5*sqrt(66))*-3)\/(sqrt(726) - (sqrt(726) - sqrt(726)*4)).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, -95, -71, -45, -17, 13, 45?\n\"Answer: g**2 + 19*g - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 28.4 (c) 4.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/88 and -35\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13986920 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggfgfggggfgggggggg.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*b - 15, 2*l - 5*b + 0*b - 39 = 0. Calculate the greatest common divisor of l and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1\/4, 3.4, -0.055, 1\/2?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153140 is divided by 76483.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(3 + 1 - 2 + (-4 + 3 + 0)*(2 - 4 + 0) + 2 + 3 - 4 + 0 + 4 - 6)*(-19 + 5*n + 19) in the form o*n + g and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2855 divided by -4.\nAnswer: -2855\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 3*f**2 + 19*f + 2. Suppose 6*u + 9*u - 75 = 0. Let p be y(u). Let b = p - -54. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 33 - -68 - 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 29. Let h(r) = r - 11. Let y be h(u). Solve y = 3*s - 2 - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + -0.9. Let t = 90.1 + -85. Let f = t - l. Round f to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 73*w**2 + 34*w - 81. Calculate the remainder when 582 is divided by m(-37).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 2*x - 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.8, 5, -1\/2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11162, 10764, 10366, 9968, 9570, 9172?\n\"Answer: -398*x + 11560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4\/7 + 236*t**3\/7 - 13560*t**2\/7 + 165456*t\/7 - 54432 = 0. What is t?\nAnswer: -98, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose 0 = -10*y + 9*y + 2. Determine l, given that y*l**2 - 16*l**3 - b*l - 5*l + 10*l**4 + 13*l = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9 - 0.9. Let u = 4 - d. Is 1.2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000949458021 to six dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 58*d = 124*d - 4872 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -7 - (-96 + 74 + -55).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 57248*t. Let j(g) = -29*g**2. What is k(j(p))?\nAnswer: -1660192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27875 and 18850.\nAnswer: 21017750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/385 - 7*s**6\/660 + 37*s**5\/330 - 17*s**4\/132 - 10*s**3\/33 + 30*s**2 - 3*s. Suppose y(i) = 0. Calculate i.\nAnswer: -5, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-12))\/((-4)\/(-8)). Let l = 32 + -19. Let j = l + -13.4. Which is the nearest to m? (a) -1 (b) 2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4026 + 968?\nAnswer: -3058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21790?\nAnswer: 2, 5, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 20*x = 28*x + 44. Let a(v) = v**3 + 4*v**2 + 2*v - 1. What is a(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2\/2 - 11. Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - 5*t**4\/24 - 31*t**3\/6 + 3009*t**2. Calculate i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 - j. Let q be o(2). Let a be (q\/(-5))\/(1\/(-5)). Calculate the greatest common divisor of 72 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9280)\/(-56) + (-12)\/(-42). Suppose -l*z - 1200 = -170*z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55126 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89439146 to the nearest integer?\nAnswer: 9457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7486, 7491, 7496, 7501, 7506, 7511?\nAnswer: 7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -5*u, 0 = -4*w - 1150*u + 1153*u + 57 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59669\/((-1)\/11*(-118 - -107)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37834*t - 37781*t + 1219 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 - 2*y**2 - 37*y - 548. Is c(-11) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let t = 0.14694 + -0.12694. Which is the closest to t? (a) 0.1 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - h - 2*h**3 - h**2 - h**2 + 4*h**3 to z + f*h**3 + m*h + k*h**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -7\/15135, 0.03, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) - 9\/6. Suppose 0*g + 4*g = -l + 290, y = g + 2*l - 69. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + d**2 + 1 + 0*d**2 + (-2*d**2 + 0*d + 0*d)*(0 + 0 + 1).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, -0.3, -1\/2, 2\/7.\nAnswer: -1\/2, -0.3, 0.21, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1398 divided by 233.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-21)\/(-28)*4\/(-6). Let y be 24*(r + (-4)\/8). Which is smaller: y or -11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 5:48 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-8) - ((-2107)\/28 + 9). Put f, -6, 6, -4 in descending order.\nAnswer: f, 6, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**2 - 2 + 0*q**3 - 1\/70*q**5 - 1\/42*q**4 + 2*q. Let w(o) be the first derivative of y(o). Let w(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383349+0.199753\nAnswer: 383349.199753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1011100 (base 2) to base 12\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from nhxxaxxnhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -3, 2\/31, 2\/7 in decreasing order.\nAnswer: 3, 2\/7, 2\/31, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.722*2437.\nAnswer: -1759.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d)**(-5\/6)\/((d\/(d*d**(4\/9))*d)\/(d**(-5)\/d)) assuming d is positive.\nAnswer: d**(-133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/8 and 4\/(-14) - 1639\/(-462).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 3693696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k + 12*k + 7*k + 12*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19808.00411 - -268?\nAnswer: -19540.00411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 - 21*n - 5. Let w be b(-5). Let r(l) = -2*l - 4. Give r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmxj when four letters picked without replacement from {e: 9, m: 6, x: 2, j: 2}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1332 and 7\/444.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d - 19. Let z(m) = -4*m + 9. Suppose -22 = 2*b - 4*g, 4*b - g + 55 = -4*g. Calculate b*z(h) - 6*f(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 8.8. Let y = s - -10.5. Which is the closest to 1? (a) -3 (b) 2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -57 (b) -2 (c) 42 (d) -0.1 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 258595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 107*q - 4835. Determine x(45).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, e: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1524 + 0.0176. Let t = -34.83 + 35. Let m = g - t. Which is the third smallest value? (a) 1\/6 (b) -2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(8))\/sqrt(3)*4)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 44 = 6*w - 16*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2 + 27495*l - 657000 = 0 for l.\nAnswer: 24, 5475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059983 + 5?\nAnswer: 1059988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f. Suppose -8*t = -6*t + 10. Let p be m(t). Let g = p - 7. Which is the nearest to 1\/3? (a) 0.2 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 10 = -4*a. Suppose -5*c + 3*c = 2*r - 12, 2*r - 4*c - a = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 23*q**2 - 5453*q - 5016. What is m(238)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.1225 (b) -2 (c) 3\/8 (d) -3\/2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k + 6*k = 325 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 197911497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*t + 346, -7*t = 5*k - 351 + 1032 - 379 for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:09 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 1\/3, -3904\/81 in ascending order.\nAnswer: -3904\/81, 1\/3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqwwsyzyyhwhhsq. What is prob of sequence zqq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 + 3 - -4) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 2*o**5 + o**5 + (26*o**2 - 45*o + 45*o)*(-12*o**3 + 0*o**3 - 2*o**3).\nAnswer: -362*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = t + 3*m, -4*m = 10 + 10. Let d be t\/5 + (-6)\/15. Let i be (138\/805)\/((-6)\/(-10)). Which is the nearest to 1\/6? (a) d (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 14) in base 10?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6*q - 30 = 0, 25*q - 57*q = 4*m - 28*q - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 37759\nAnswer: 4\/37759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 8 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 48849*a**3 + 5*a + 24459*a**3 + 24394*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czoaofcczo. Give prob of picking 3 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 1026 - 2563 = -907 for q.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 47 + 7 = -2*j, -2*f + 3*j - 7 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -860529*s**3 + 162*s**2 - 160260*s - 49?\nAnswer: -5163174*s + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -413, -1643, -3699, -6581?\n\"Answer: -413*b**2 + 9*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 smaller than 411308.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (3 - 0) - -10. Suppose 13*q - h*q - 11 = 0. Let u = q - -3. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 171 + (29 - 104)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from llllllpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162647 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42998 by 3.\nAnswer: 42998\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 48 - -36 - -34.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccr when three letters picked without replacement from {h: 3, o: 4, u: 2, r: 2, k: 1, c: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5037 + 12530. Let p = g + -2671. Suppose 3*l + 46813 = 5*u + p, -4*u + 5*l + 33585 = 0. Round u to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*j = 3, 0 = -4*j + 5 + 7. Find the common denominator of ((-44)\/10)\/((-36)\/i) and -34\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1)**2 + sqrt(204)\/(-2*sqrt(12)).\nAnswer: -13*sqrt(17)\/2 + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9680109nm?\nAnswer: 0.0009680109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -2\/27*o**4 + 3*o - 1\/27*o**3 + 0 + 1\/30*o**5 + 2\/9*o**2. Let i(r) = 0. What is r?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/8, 2, -1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1656 - 1651. Sort g, 4, -677, 0 in increasing order.\nAnswer: -677, 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 53. Suppose 2*d - t = -7. Factor -1\/3*r + 1\/3*r**3 - 1\/3*r**2 + 1\/3*r**d + 0.\nAnswer: r*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56238*y + 56297*y - 236. Let b(r) = 4*r**3 - 15*r**2 - 4*r - 5. What is b(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.3. What is the biggest value in t, 5, 0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5*p + 46 + 19, 4*m - 110 = 5*p. What are the prime factors of (-2)\/(-5) - (-165)\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15.3, -0.04, 0.5, 3\/4, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - -113. Let a be (f\/(-6) - 2) + (-4)\/24. Let u be (-8 + 2)\/(a\/12 - -1). Calculate the greatest common factor of u and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -0*h. Let k be (-6)\/1*h\/10. Let d(y) = -5*y**2 - 65*y - 180. Let r be d(-9). Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)*(-4 - -138). Let x = w + 227. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k + 21. Let t(w) = -w**2 - w - 22. Let h(f) = -3*l(f) - 4*t(f). Let y be h(0). Suppose 0*z = -5*z + y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -165827\nAnswer: -63\/165827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121)*-1)\/sqrt(11) + (sqrt(132)*2)\/sqrt(12) + -1*(sqrt(110) + -2*(sqrt(110)*1 - sqrt(110)))\/sqrt(10).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21265 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6400321043 to the nearest integer?\nAnswer: 80002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/10 - -16\/5. Let y be (53 + (-38532)\/728)\/(1\/4). What is the nearest to y in -5, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10547040 divided by -1752.\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 549.976 and 782?\nAnswer: 430081.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21908831 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14*((-288)\/(-42) - 4). Differentiate 23 + 148*w**4 - 20*w**4 + k with respect to w.\nAnswer: 512*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:12 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/5)\/((-8)\/30))\/((-153)\/(-408)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4571792 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/162 and -55\/27?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 60 = 4*s. Let p = 1 - s. Let i(v) = -v**2 - 28*v + 257. What is the smallest common multiple of p and i(-35)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192762 is divided by 15480.\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69587527 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 3\/4, -181, 0.3.\nAnswer: -181, 0.3, 3\/4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Let x(y) be the first derivative of -y**3 + 5. Determine x(q(s)).\nAnswer: -27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -54*v + 61*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/7, 0.5, -3\/5, -101\/3?\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/5 - 96*q. Let g = 19 - 10. Suppose -3*t + g = 3*i, t + 0*t + 5*i - 19 = 0. What is d(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z. Let n(w) = -4*w. Let o(j) = 3*l(j) + 7*n(j). Let g = -168 - -171. Let s(t) = -9*t**2 + 5*t**2 + g*t**2. What is s(o(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 + 129737*w**3 + 21279*w**2 - w wrt w?\nAnswer: 120*w**2 + 778422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3005540 (base 6) to base 8.\nAnswer: 423704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-126))\/(5\/140)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 2 + 2)*(-k**3 + 3*k**3 - k**3) - 2*k**4 - 268*k**2 - 221*k**2 + 582*k**2 to the form w*k + h*k**4 + i*k**3 + s*k**2 + o and give s.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 6*r + 6. Let v be d(-6). Let a = v - -12. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/24 + 5*c**3\/12 + 28*c**2. Factor x(n).\nAnswer: -5*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*k - 310, -330 = -2*k + 2*t - t. Let o = k - 655\/4. Which is the closest to 1? (a) 2\/3 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4)*96\/4. Suppose -19 - 51 = -2*q. Let g = q - h. Solve 0 = 4*l - k - 4*k - g, 2*l = -4*k - 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -65, -26, 45, 160, 331, 570?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-12 + (6 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -6, -0.5, -2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1792*d**3*s**3 + 9*d**3*s - d**3 - 7*d*s**3 + 14*d*s + 3*s wrt s?\nAnswer: -10752*d**3*s - 42*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 20363030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 - 1 = 0. Let v be ((-45)\/75)\/((-42)\/(-35)). What is the closest to m in 0.2, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 188 + 22 = 34*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -2\/57, 37, 0.3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -76. Let f be (4 - (-99)\/(-22))\/(3*5\/(-1500)). Suppose f = 5*j - 3*z - z, -3*j + z = -w. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 92946*k + 101*k**3 - 92949*k + 3 + 0.\nAnswer: 101*k**3 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*(-12)\/((375\/(-60))\/(-25))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 42 - 4 - 20 - 3 + 25*h**4 - 11 + 2*h**3 to g*h + t*h**2 + m*h**3 + p*h**4 + r and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 50*z**3 + 23*z**2 - 23*z**2.\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.5 + 4.5. Let r = -0.8 + 1. What is the third biggest value in d, 4, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 6*m**2 + 8. Let g(q) = 3*q**2 - 22*q - 42. Let n be g(9). Suppose 0*s - 3*a - 27 = -3*s, -3*a + 9 = n*s. Determine b(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*c - 1832 - 1325, -1891 = -3*a + 2*c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183977 and 6841235?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 32200?\nAnswer: 1255800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 1\/2 (c) -21 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 238943 or 238947?\nAnswer: 238947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + 214154?\nAnswer: 214034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*j**2 + 738*j**2 - 113*j**2 - 312*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12 = 0, 4*v + 5*g - 7 = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 11*k**2 - 11*k - 12. Let r be (-57)\/5 - (-10)\/25. Let o = r - -1. Let p be f(o). Which is the third smallest value? (a) 0.2 (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 + 2)\/3 + -2. Suppose -c - o = -24. Suppose -5*u = -4*w - w + 10, -4*u + c = 2*w. Solve 2*p - u = -p - 3*q, 3*p + q - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 91. What is the remainder when 49 is divided by (-119)\/(-42)*11\/(u\/12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-450)*-5)\/((-142)\/213)*-130.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2584390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/2*(-8)\/(-6). Let i be 33\/11*2\/f. Factor -6\/5 + i*l + 3\/5*l**2.\nAnswer: 3*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -10, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, -1\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, k: 2, f: 1}. What is prob of sequence gk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/527 and 38\/51?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1000*o**3 + 1346*o**2 - 1 wrt o?\nAnswer: -6000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-40)*(26\/4 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.65 + -5.35. Let j = 7.2 - 7. Put 0.5, c, 3\/2, j in increasing order.\nAnswer: j, c, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = 3*p - 688, 5*o = p + 704. Suppose 19*r - 20*r + 4 = 0. Suppose 0 = -r*a - a + o. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 + (2 - -1) + -7 + 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46193*y**2*z**2 - 39953*y - 2*z**2 + 2 wrt y?\nAnswer: -92386*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.12?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -0.3, 0.233?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(1 + -25) + (-33)\/(-18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -70, -136, -202, -268, -334?\n\"Answer: -66*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 2}. Give prob of sequence kdd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 14*j**3 + 9*j**3 - 33*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 488805.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + r**3 - 6*r**3)*(-5 + 2 + 1)*(-1393 + 1393 - 74*r)*(-2*r + 0*r + 0*r) + (4*r - 3*r + r)*(-6*r**4 + 4*r**4 - 3*r**4).\nAnswer: 878*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68960\/5333 or 0.1?\nAnswer: -68960\/5333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**2 + f + 89. Let n(z) = -z**2 - 23*z - 20. Let b be n(-1). Let q(u) = -u**2 + 18. What is b*y(c) - 11*q(c)?\nAnswer: -c**2 + 2*c - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12546 + l + 2*l**2 - l.\nAnswer: 2*l**2 - 12546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*t = -5, 3*b - 2*t + 0 - 5 = 0. Suppose -4 = -k - b. Solve 2*v + a = 4, 4*v = -v + k*a - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207311394*d**3*q + 12248*d**2 - 200*q wrt d?\nAnswer: -1243868364*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*l + 3*i, -5*i = 3*l + 12 + 46. Let u = l + 5. Let s(t) = -t**3 - 7*t**2 - 7*t + 3. List the prime factors of s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3301 = -4*l, 1373 = 4*n - 2*l - 3065. Is 1113 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 - 20 = -23*r. Is (-2 + 20\/r)\/((-3)\/24039) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9650037 is divided by 290?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o, 4*d - 2*o = 2*o + 20. Suppose 8*h + 5*u = 3*h + 220, -3*h = d*u - 137. Let j = -30 + h. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274196963 to the power of 1\/2, to the nearest integer?\nAnswer: 16559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*x = 30, 3*x = 4*x - 2. Let y be -3*4\/q*0. Is y at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -3\/4 (c) 220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11\/8, -291, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 5*i + 1017. Let o = -114 - i. What is the highest common divisor of o and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 * 0.03\nAnswer: 7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 381314132.5 to the nearest one million.\nAnswer: 381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 15. Suppose 3*s + 4*j - a = 7, -3*s = -j - 7. Solve 2*m = -2*u - 14, -5*m + s - 2 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*y - 444*y = m - 220*y - 3, 2*m + y + 8 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*1*(2*(sqrt(2448) + 0 + sqrt(2448)) - sqrt(2448) - (sqrt(2448) - (0 + sqrt(2448)*2))))**2 + 1.\nAnswer: 22560769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 1*3\/(-1). Suppose 0*c = c - s*g - 6, 2*c = 2*g + 12. Suppose -9 = -z + 2*f, 0*z + 2*f - 36 = -4*z. Calculate the lowest common multiple of z and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 8. Let c = 19 + 5. Suppose d*j - 41 = c. What is the remainder when 24 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 3*o - 3*o - 188*o**3 + 3*o.\nAnswer: -188*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -227. Suppose y = -2*y + f. Let h = -2 + y. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:32 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*-2)\/((3*sqrt(70))\/sqrt(10)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (189\/56)\/27*40. Solve -3*i + 7*u - 27 = 5*u, 30 = d*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 962000 and 42900.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9671880 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: b\"What is the mth term of -919, -1836, -2749, -3658, -4563, -5464, -6361?\n\"Answer: 2*m**2 - 923*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4894044 and -14682134\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2490, -1\/6, -0.5 in decreasing order.\nAnswer: 2490, -1\/6, -0.5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from xiiiooxoxoixioo.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2\/5 - 223116*y\/5 + 4148395788\/5 = 0.\nAnswer: 37186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**5\/120 + b**3\/3 - 19*b**2\/2 - 91. Let l(c) be the third derivative of u(c). Let s(o) = 316*o. Determine l(s(a)).\nAnswer: 316*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 9*p + 30. Let d be x(-6). Calculate the highest common factor of d and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 3*t**2 + 4*t - 1. Let m be v(3). Let h = -8 + m. Solve -4*d - 3*l - 1 = d, -h = -l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 n, and 1 x when four letters picked without replacement from {q: 4, x: 3, n: 2, f: 1, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-18)\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1425 - 8513\/6. Let f = -72 + 40. Let s = 53\/2 + f. Find the common denominator of v and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-53)\/(-4) + (78\/(-24) - -3) is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 - m**2 + 4*m**3 + 25 - m + 26 in the form c*m**3 + d*m + a*m**2 + f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 26. Let h be 18\/v*(-76)\/6. Suppose -z + y + h = 0, 0 = 4*y - 2*y. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:58 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2295*k - 1017*k + 3 - 2383*k as x + q*k and give q.\nAnswer: -5695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1765, -2497, -3777, -5653, -8173, -11385, -15337, -20077?\nAnswer: -25653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i - 216. Let n(u) = 417*u + 3732. Let a be n(-9). What is y(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 3. Let v be n(-1). Let k be (4\/(-24))\/(4\/v). Sort k, -0.5, 15 in ascending order.\nAnswer: -0.5, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4113*f**6 - 25*f**2 - 20 wrt f?\nAnswer: -493560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/330 and -46\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.4, 0.1, -1\/66, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -60188.41 to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2592) + 3)**2 - sqrt(800)*-5).\nAnswer: 316*sqrt(2) + 2606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/7)\/s**(-27\/4)*s**(-30)*s**(1\/5)\/s*s)**(32\/5) assuming s is positive.\nAnswer: s**(-26776\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*a**4 - 24*a**3 + a**2 - 61501.\nAnswer: -152*a**3 - 72*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 + -0.7. Let z = 0.39 - 0.45. What is the third smallest value in z, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(1216)*2)**2) + (sqrt(19) - (2*sqrt(1216) + sqrt(19))**2).\nAnswer: -10355 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s**2 - 6*s + 2. Let x be d(6). Let q = -3727 + 3727. Factor -1\/4*p**4 + 3\/4*p**x + 1\/2*p + q*p**3 + 0.\nAnswer: -p*(p - 2)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 14*i + 53. Let z be n(15). Let v = z - 28. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 382 + 417 - 17 - 18 - s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2622646 (base 9) to base 2\nAnswer: 101011101101011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 128*c**2 - 556*c + 432.\nAnswer: -4*(c - 27)*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -1692, -2538, -3386?\nAnswer: -4236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 670 = -5*n, -5*n - 3*r = -500 - 190. Let z(j) = -40*j + 990. Let u be z(24). Calculate the greatest common divisor of u and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 2*k + 3. Let u(n) = 2 - 5 + 4. Let v be (4 - 6 - -18) + -12. Calculate v*u(l) - r(l).\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126447.\nAnswer: 7, 29, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 = 8. Let n = -18 - -16. Sort o, -4\/5, n in increasing order.\nAnswer: o, n, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 70 = -h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c. Let t(d) = -4*d**2 - 13*d - 5. Let y(w) = t(w) - 3*x(w). Calculate y(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000225914 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - r - 104 = -392 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15925577997.99999949 - 15925577932. Let h = n - 66. Round h to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.46 - 1.54. Put 0.4, y, -3 in decreasing order.\nAnswer: 0.4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0629 - 0.0629. Which is the biggest value? (a) 2\/79 (b) 3\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9939562 to the nearest integer?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8 = 886*i - 884*i, 5*i = -4*o + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1201131 (base 4) to base 14\nAnswer: 23b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 83. Suppose -3*d = -2*o - 16, -5*d + n*o = -32 + 4. Suppose 4*j = d*b + 204, -2*b = -1 - 5. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4130, 4363, 4782, 5387, 6178, 7155, 8318?\n\"Answer: 93*y**2 - 46*y + 4083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 17*j**2 + 3. Let v be n(17). Suppose v*x - 15 = 2*t, 4*x + 5*t + 2 + 1 = 0. Calculate the highest common factor of 57 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-26)*(16 - -4). Calculate the highest common factor of 180 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*-6*(-12)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-104)\/16) + (-38)\/76. Solve -3*t + 2 = r - 2*t, u = -2*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77 (b) -0.3 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1574996*t**2 - 6*t - 5. Let v(p) = -4724989*p**2 + 17*p + 14. Let i(o) = 8*m(o) + 3*v(o). Let h be i(-2). Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*s - 44 = 0, 3*m + 24 = s + 96. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 131210311?\nAnswer: 131210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 131 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 - -142. Let s = 78.9 + r. Which is the closest to 0.5? (a) 0.4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6276 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - 6*k**2 - 6*k + 5. Let p(u) = -5*u**3 - 12*u**2 - 11*u + 11. Let n(g) = 4*p(g) - 7*v(g). Let h be n(6). Sort 0, h, -1 in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -1\/4, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 996253.9 years?\nAnswer: 996.2539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2 + 3*j - 10. Determine r(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b - 8 - 6*b**2 + 2*b**2 + 2 - 2*b**2 + b**3. Let s(z) = -z**3 - 13*z**2 - z - 8. Let v be s(-13). Determine a(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273*l**4 - 3*l + 20*l + 287*l**4 wrt l.\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*b\/(b*b\/b**(-7\/4)*b*b))\/b)*b))**(-2\/67)*(b*b**(-2\/105))**20 assuming b is positive.\nAnswer: b**(55691\/2814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1960 and -39\/784.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**3 + 2*q**3 + 0*q**3)*(-141 + 280 - 201)*(5 - 3 - 4) to g*q**2 + f*q**3 + l*q + w and give f.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 9*o = -31*k + 97, 0 = k - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 8) to base 16\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1175 - 36428\/31. Sort -0.1, u, 4.\nAnswer: -0.1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by (14\/8)\/((-2)\/(-8)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 38 + 26)*(2*j + 4*j**2 - 2*j).\nAnswer: -308*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 125124 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: Let x(o) = -2*o. Let w(b) = -578*b - 143. Let d(y) = -577*y - 179. Let l(j) = 4*d(j) - 5*w(j). Calculate x(l(f)).\nAnswer: -1164*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.321181 rounded to two decimal places?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 - 6) + (1 - -60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 9*c + 16. Let h be x(4). Let f = -26 + h. What is the third derivative of -105*n**f + 7*n**6 + 114*n**2 + 5*n**6 wrt n?\nAnswer: 1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/40 + m**5\/10 + 132*m**2. Factor o(i).\nAnswer: -3*i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -26*q - 75. Let d be s(-3). Suppose 4*k + 17 = d*b, b = -3*k - 7 - 9. Put b, 23, 0 in ascending order.\nAnswer: b, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.21, 13, 30\/7, -5 in decreasing order.\nAnswer: 13, 9.21, 30\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 152*c**2 - 149*c + 250. Give h(-151).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -781 - -5461\/7. Put y, -1\/4, 6\/13 in increasing order.\nAnswer: y, -1\/4, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2040*r - 29983 - 12082 = 15055 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314018331 is divided by 259?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = -2*b + 7, 6 = 2*a. Let x be b\/(8\/5 - 1). Suppose 0 = -0*w - w + x. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10*x*x\/(x*x**(-7)*x))**31 assuming x is positive.\nAnswer: x**527","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l + 4*i = -28, -6 = 2*l + 2*i. Let p(u) = 3*u**3 - 7*u**2 + 6*u - 3. Let o be p(l). Let g be (-1 - (-1)\/3)*3*-2. Solve g*x = -11 - o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -22. Let y be ((-52)\/39)\/(t\/(-18)). Suppose -y*w = -6*w + 144. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) - (sqrt(832) + sqrt(832)*-1)))*-5 - (1 + sqrt(832))*5 - (-5 + (6*(sqrt(117)*1 - sqrt(117)))\/(sqrt(900) + sqrt(900)*2)))**2*5.\nAnswer: 104000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/8 - 15*x\/8 - 27\/4.\nAnswer: -(x + 6)*(x + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3816.7198 times 4\nAnswer: -15266.8792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*12\/(-9). Suppose 192 = g*x + 2*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 4*v = 374. Calculate the greatest common divisor of 34 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10. Let n(v) = v - 10. Let g(r) = -4*l(r) - 5*n(r). Let d(s) = -25. Let t(m) = 2*m - 125. Let i(u) = -5*d(u) + t(u). What is i(g(q))?\nAnswer: -10*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21 and 2973.1?\nAnswer: 2972.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 + 0.3. Let j = 1.2 + -0.56. Let v = f - j. What is v rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 58*y - 1. Calculate u(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from {w: 5, u: 5, q: 8}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 2 + 1\/2*n**3 - 1\/2*n.\nAnswer: (n - 1)*(n + 1)*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112202102 + -221?\nAnswer: 112201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = 4*a + 3*c + 293, -15 = 5*a - 5*c for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68283 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 360315 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-8)*12\/70*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a factor of 52342778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 4*t + 5*t)*(2*t**2 + 59 + 1151*t + 1225*t + 110305 - 2376*t) to the form r*t**2 + h*t + d*t**3 + s and give h.\nAnswer: 110364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10111111?\nAnswer: -10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -11299d1?\nAnswer: -11299ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 + y - 4. Let o be q(6). Let b = 0 - o. Let u be 43996\/b - (4 - 2). Round u to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 205.089. Let y = -0.089 - a. Is y equal to 0.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1450 + -1467. Let n = -5 + 28.5. Let d = n + c. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 18 = -5*p, 0 = -4*p - 0*z - 5*z - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1078 + -767. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3379915598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 5)*(-2 - 2 + 8) - 4 + 0 + 3 - 1 + 5 - 2)*(v**3 + 22*v - 22*v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*o + 314*o = 33*o - 14043 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 33, 0 in increasing order.\nAnswer: -5, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 109 + 103 = 4*l, 5*l + 3 = -4*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = -3*o. Let d be o\/22 - (-12660)\/(-55). Round d to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 3, 2*n - 11 = o - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25072166613 + -748?\nAnswer: -747.74927833387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -4148?\nAnswer: -4148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -3.7, -1\/4, -0.07, 3\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*a - 27*o + 28*o, -4*a - 2*o = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6764897021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17*-1*(2 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 4552?\nAnswer: 4476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/8 - 392451*u**3\/4 + 12559113*u**2\/8 - 5690877*u\/2 + 2747325\/2 = 0. What is u?\nAnswer: -261650, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/13)\/((25\/2)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 338550?\nAnswer: -338554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 4. Let h be x(1). Suppose 41*y - 43*y = -8. Suppose -p = -h*q + y*q - 1778, -3*q = p - 5326. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + 2. Let r be n(0). Let c(t) = -2 - 2*t + t**2 - r + 6. Let o be c(0). Solve k + m - 7 + o = 0, 2*m - 12 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/((o*(o*(o*o**(-2))\/o*o)\/o)\/o*o*o))*o*o)**43*o**8*o**(-5)*((o**(-3)\/o*o)**(-2\/37))**(1\/6) assuming o is positive.\nAnswer: o**(6476\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 - 1*(-2 - 1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -54*a + 41. What are the prime factors of v(-6)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/9*(-36)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 1\/35*w**6 - 11*w**2 + 0*w + 0*w**3 + 1\/70*w**5 + 0 + 1\/105*w**7 - 1\/42*w**4. Factor j(x).\nAnswer: 2*x*(x + 1)**2*(7*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 109025698?\nAnswer: -109025701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*i**4 + 542*i**2 - 9849*i + 25771061?\nAnswer: 24*i**3 + 1084*i - 9849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(11))**2 - sqrt(11) - (sqrt(1584) + sqrt(1584) + sqrt(1584) + -2)) + (sqrt(88) - 2*sqrt(88))\/(sqrt(4)\/(sqrt(10)\/sqrt(5))).\nAnswer: -87*sqrt(11) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(114)*-2 - sqrt(114)) + -6*2*sqrt(114))\/(sqrt(66)\/(sqrt(11) + -3*-6*sqrt(11) + sqrt(11) - sqrt(11))))**2.\nAnswer: 3950784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -723135.114 to the nearest one hundred.\nAnswer: -723100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194068 is divided by 250.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**4\/24 - a**3\/2 + a**2 - 3*a. Let m(i) be the first derivative of r(i). What is the remainder when 6 is divided by m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 10 - 10. Calculate the lowest common multiple of 3 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvvulkxvk. What is prob of sequence vlvk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21133 - -13111?\nAnswer: 100310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*b + 306 + 878 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1503 and 0.254.\nAnswer: -381.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -1447. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1056, -1\/3, 6 in decreasing order.\nAnswer: 6, 0.5, -1\/3, -1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30919050 and 780?\nAnswer: 803895300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 6:40 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*v + 823, v = 3*r + 369 + 39. Solve -378*b + v*b = -72 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4672320 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5034, 10171, 15308, 20445, 25582, 30719?\nAnswer: 35856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10220 (base 4) to base 5\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.26 - 12.36. Let i be 2\/(-4) + 18\/4. Suppose 0 = p + i - 3. Which is the closest to l? (a) 4 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19092762 by 7.\nAnswer: 19092762\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 8*b = -6. What is the third derivative of 5*d**2 + 17 - 17 + d**b wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**3 - 30*m**2 - 13*m + 599. What is the thousands digit of n(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*s**2 + 1092*s - 1092*s)*((2*s + 0*s - s)*(1 + 3 - 2) - 2*s + 2*s + 2*s).\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.3311 + -0.0561. Let w = -10 + l. Let o = w + -0.27500169. Round o to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1)\/((-79)\/(124425\/(-150)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 25*y + 107. Let n be x(-4). Find the third derivative of 103*q**4 + 3*q**2 - 10*q**5 + q**2 - 50*q**4 - n*q - 45*q**4 wrt q.\nAnswer: -600*q**2 + 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/69)\/(((u*(u\/(u*u**(-13\/2)))\/u)\/u)\/u)*u**(1\/41)\/u*u**28*u assuming u is positive.\nAnswer: u**(132937\/5658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = q - 6*q + 2239, 0 = -p - 2. List the prime factors of q.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {i: 3, r: 7, h: 6, y: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 + 10*t - 2. Let j be p(7). Let d be (90\/(-25))\/((-1)\/(-20)). Let h = d + j. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 41, 62, 83, 104?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 4*b + 4. Let o be (-2)\/(-1) + 6\/3. Let v = o + -3. Let q be (v - 2)\/((-1)\/3). Determine k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 + -1.7. Let i = 3.9999972 + t. What is i rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/180 + 2*m**3\/3 + 3*m. Let b(u) be the second derivative of p(u). Let x(c) = -4*c. Give x(b(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255985 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -990 - -995. Let s(r) be the first derivative of -3*r**2 + 2*r - 12. Let u(t) = 3*t - 1. What is y*u(i) + 3*s(i)?\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*x - 2*x - x)*(-3 + 4 + 1) + 4*x + 2*x - 4*x + 1 - 2*x - 1)*(162 + 46 + 73).\nAnswer: 1686*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*o - 40 - 67, 2*t + 5*o - 147 = 0. Let z = -33 + t. Suppose 3*x = z + 23. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2895.5165495 and 5.\nAnswer: 2900.5165495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Let b = -0.229 + 1.529. Let c = 1.2 - b. What is the nearest to n in c, 4, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:36 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -21*j + 31. Let w(x) = 15*x - 31. Let g(z) = -2*t(z) - 3*w(z). What is g(17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029378524 rounded to five dps?\nAnswer: -0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2391061 and 10.\nAnswer: 23910610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) - (sqrt(240) + -5*sqrt(240)*4))\/(sqrt(24)\/(sqrt(18)\/(sqrt(144) + sqrt(9) - sqrt(9)))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(2 + 159\/(-81)). Put p, 1\/2, -5 in decreasing order.\nAnswer: 1\/2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 6*f - 4. Let h be m(4). Let c = -6 - h. Let i be (-5)\/9 + (-40)\/(-180). Is i >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/113, 0.2, -5, -2\/15, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23704036\/9 <= -2633783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 4:09 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 54.08.\nAnswer: -324.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 208065*l - 2*l**2 - 104052*l - 53 - 104072*l - 2*l**2. Give o(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11025 (base 7) to base 13.\nAnswer: -1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*m - 6, 60*w = 58*w + 2*m - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.1 (c) 1\/4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (3 - 1))\/((-1449)\/(-92) - 16). Solve 4 = -5*v + u*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1.76548.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**3 + 67. Let t(x) = -17*x**3 - 203. Calculate 11*i(q) + 4*t(q).\nAnswer: -2*q**3 - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 717, -5, 19 in decreasing order.\nAnswer: 717, 19, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (-10)\/((-4)\/(3 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 0, 5*j = 4*p - 859. What is the smallest common multiple of p and 14?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-2) + (70\/(-2))\/(-7). Suppose q = -i + 4*v + 9 + 8, -v = 3*i + 14. Which is smaller: -0.166 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747329467?\nAnswer: 6449, 115883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10107047468+18627\nAnswer: 10107066095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2154 + 2144. What is the closest to -2\/19 in -5\/3, 0.3, -4, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 6*r - 23. Calculate p(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d + 10143 = 151634. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*l + 0 = 14, 4*l - 18 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-7))\/(4\/((-160)\/10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(3 + (0 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*f + 181, -2*f + 382 = -2*v + 4*v. Suppose -6*j - 4 + v = 0. What is the remainder when j is divided by 2\/(-5) + 57\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4126, 8203, 12200, 16117?\n\"Answer: -40*q**2 + 4197*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*y + 55 + 81 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.2, -1.1, 3, 4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = -q, -4*g = 5*q - 3 + 4. Is 1\/12 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-102)\/(-12)*(-61)\/(-1037)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111026124 and 30279852?\nAnswer: 333078372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3154765 millimeters to nanometers.\nAnswer: 315476.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*x + 249, -71*k + 164 = -67*k + 2*x. Solve -43*c + 528 = k*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {g: 5, v: 14}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k - 86. Let y be r(-9). Solve 0 = -c - 3*a + 17, -6*a + 12 = -y*c - 2*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 29 = 41. Let y = 1 + m. Suppose -y*g = 3*w + 162, 176 = -5*w + 3*g - 60. Is -50 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)\/(s*s\/(s\/(s**(-1)*s)))*(s*s**5)\/((s\/s**(-7))\/s) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from fpjpvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1.966.\nAnswer: -0.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2364 divided by -24640.\nAnswer: -591\/6160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1308, 5232, 11774, 20934?\n\"Answer: 1309*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149365 and 0.03?\nAnswer: 4480.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:31 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -515 - 16?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/6 - 9*u**2\/2 + 4*u. Let o be g(6). Let n be ((-120)\/(-5))\/2 + o. Solve -2*d - 18 = 5*b, -3*d - 8 = 5*b + n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5*y**2\/2 + 2*y + 863. Let j(n) = 6*n - 3. Calculate 4*j(l) + 6*k(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -3*t**4 + 7*t - 3. What is the derivative of a(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-708)\/413)\/(21\/(-1666)*2)*(-49)\/(-28)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599126.\nAnswer: 2, 11, 113, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1905 - -2102. Solve -t = 5*d - 187 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (7 - -6) + (-24 - -38).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -10. Let m(q) = q**2 - 4*q - 3. Let c be m(k). Find the second derivative of -4*s - s**3 + 4*s**2 - 14*s**c + 10*s**2 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 750.\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -82*m - 1\/20*m**5 + 5\/6*m**3 - 3\/2*m**2 + 0 + 1\/4*m**4. What is z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - y. Let m be n(-1). Suppose 0 = -2*s - 2 + 4. Let w = 9 + -7. Which is the smallest value? (a) w (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:10 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 26*y + 44. Let v be i(17). Let o = -160 + v. Calculate the remainder when 218 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280656 and 426.\nAnswer: 19926576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 236*d - 7. Let c be t(11). Suppose -6*b = -3*b - c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/16 and -71\/92?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/5, 1\/132, 0?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4697974*o**3*r + 123*o**2*r - 208*o*r + 76 wrt o?\nAnswer: -28187844*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -42. What is the lowest common multiple of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68359 = 45*r - 6611. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 6, 57, 164, 345, 618, 1001, 1512?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - v + 22, -5*v + 6 - 1 = 0. Suppose t*h - 16 = -h. Suppose u = b - 6, -b + 3*b = -h*u. Solve -b*f + 4*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6231257 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44667 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 8?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 775 = -4*s, -124 = -2*s - o + 271. Let m = s + -184. Let l = 5 + -1. Solve l*x + m = 0, -14 = 3*k - k + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**2 + 17*k**2 + 12*k**2 + 29*k**2 as w*k + s*k**2 + u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 5*y - 2*w, 5 = -w + 4. Let t(c) = -c + 9*c + c - y*c. Let o(n) = -4*n**2. Calculate o(t(x)).\nAnswer: -900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*8\/(-3)*(-1)\/4. Let w(j) = -j + j**2 + j**a - 4*j - 3*j**2 - 6. Suppose 30 = -3*y + 4*o, -2 - 1 = y + o. Give w(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3995, -15794, -35435, -62918?\nAnswer: -98243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from kqck.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 90.9954. What is n rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.03 + -6.03. Suppose 23 = -0*r - 4*r - 5*v, -13 = -r + 5*v. Which is the third smallest value? (a) -3 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4640 and -11\/358960.\nAnswer: 20819680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 24*d + 359, 3*d + 9 + 13 = 3*l - 26 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 42. Suppose 0 = 8*n - 133 - 35. Suppose 0 = -2*j - 0*d + 5*d + 20, j = -3*d + n. Calculate the remainder when s(0) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 37, -60, -375, -1010, -2067, -3648, -5855?\nAnswer: -8790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 503 + -265. Let a = p + -130. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g*g**(3\/4))\/g))\/((g**(-11)\/g)\/g)*(g**(-3\/4)*g)**49 assuming g is positive.\nAnswer: g**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3014 - 0.23\nAnswer: -3014.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161527\/22 - -7345. What is the common denominator of z and (-3274)\/(-264) + 6\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 10. Let i(g) = 3*g**2 + 2*g - 2. Let z(h) = -16*h**2 - 11*h + 11. What is q*i(a) - 2*z(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c = -14*c - 270. Solve 0 = u + c - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1814*c - 1893*c + 2420718. List the prime factors of c.\nAnswer: 2, 3, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507104, -508263, -509422, -510581?\nAnswer: -511740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -745497 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*z - 93*z - 3*z**2 + (-4*z + 4*z - z**2)*(-6 + 2 + 2 + (-3 + 1 + 1)*(1 - 2 + 2) + 3 - 4 + 2 - 3 + 6 - 1 + 2 + 2 - 2 - 157 + 88 + 87).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 367, 570, 785, 1012, 1251, 1502?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -10. Let g(h) = 9*h - 1. Let f be g(1). Let t = j + f. Solve 0*p = 2*p - t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-22) - (-114 - (-45030)\/1738).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97146811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 - (-4 - -3)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -12, 1\/214?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.25413, 2, -5 in descending order.\nAnswer: 18.25413, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1432030 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/9, -1066, 2\/49, -0.5 in decreasing order.\nAnswer: 2\/49, -0.5, -8\/9, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 - 16*p + 806. Let m be g(-13). Let b(y) = -y**3 - 5*y**2 - 3. Let o be b(-5). Sort -17, m, o, -5 in descending order.\nAnswer: m, o, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8 + 85*s + 15*s + 0 - 33*s - 22*s. What is z(-3)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d - 3*t - 7 = 0, -t = -2*d + 14. Solve k + 21 = d*u, -2*u - 9 = -5*u - 3*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -130738 or -1\/111?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 236*z**7\/7 + 109*z**3\/3 + 246. Find the third derivative of i(t) wrt t.\nAnswer: 28320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8023)\/(-1469) + 6\/(-13). Let p be 1 - (2 - 1*8). Let z = a - p. Which is bigger: 1\/2 or z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11301305417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = -28. Let t be (8*s\/280)\/((-1)\/(-3)). What is the closest to 0.2 in -1, 0.3, t, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/(-30)*(-6)\/4. Suppose 30 = -7*p - u. Let x(r) = r + 5. Determine x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -14 + 5. Suppose -q - b*q = 0. Suppose -4*m + 83834 + 20166 = q. What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/21)\/((-3)\/(-14))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:37 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 + 8*p + 2. Let g(v) = -4*v - 20. Let t be g(-6). Suppose y + 4*y = t*n + 51, y + 2*n = -1. What is z(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - s + 17239999 = 0, -4*f = -s + 19437697 + 15042302. Round f to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6. Let w = 0 - -10. Calculate the least common multiple of (-1)\/(3\/(-42))*c and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(3 - 67)\/8. Let z(h) = -k*h + 9*h + 12 - 8 - 2*h**2. Calculate z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1092*y - 239. Determine l(1).\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 2*a)*(3 + 0 - 4) + 2*a - 3*a + 4*a - a + 3*a - a + (-29 + 12 - 10)*(4 + 0 - 2)*(-1 + 1 + a).\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -13. Put d, 4, 1 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let b be x(1). Let j = -113 + 117. What is the second smallest value in j, 5\/6, b?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f22c9 (base 16) to base 9.\nAnswer: 1771621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 27*g - 31. Let k be s(31). Suppose -k*i + 4541 = -74*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2729727 and 3927.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 70 - 127 + 64 + 20*r**3 + 14*r**3 + 2*r + r**4 in the form i*r + d*r**3 + o*r**2 + p*r**4 + j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q + 18*q**2 + 27*q - 17*q - 30*q + 31*q.\nAnswer: 18*q**2 + 30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2 - 708*v + 22214 = 0.\nAnswer: -383, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6701*m = 238040 + 30000 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 1. Let n(a) = 8*a - 7. Let h(g) = 7*g - 7. Let q(l) = -3*h(l) + 2*n(l). Let c(b) = -21*m(b) - 3*q(b). What is c(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 111?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4151?\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 10*c - 14. Let h be j(-6). Let p be 967 + 1 + 1 + h + 1. Suppose -p = -7*i - 4*i. What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-42)\/(-154)*33\/6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36972259 - 9692259 = 22*k. Suppose 318*o - 316*o = k. What is o rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:13 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 24 = k, k = 42*t - 47*t + 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**6 + p**5 - p**2. Let a(q) = -16*q**6 - 9*q**5 + 23*q**2. Let y(d) = 2*a(d) + 18*b(d). Find the third derivative of y(x) wrt x.\nAnswer: -6000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrvk when four letters picked without replacement from vvrk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.5 + -8.5. Put -0.05, -5, -0.3, k in increasing order.\nAnswer: -5, k, -0.3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.288 + -0.188. Let c = -11.011 + y. Round c to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0 + (-24)\/(-3). Suppose 0*c - 6*c = 2*c. Suppose c = y*u + u - 168. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 25*t. Let q(c) = -2*c**2 + 833. What is q(v(n))?\nAnswer: -1250*n**2 + 833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2505007, 5009991, 7514975, 10019959, 12524943?\nAnswer: 15029927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 + -127. Let r(t) = -2*t**3 - t**2 + 3*t - 6. What is the units digit of r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10576 = -208*s - 592. What is the greatest common factor of 7512 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*1*sqrt(117) - 2*sqrt(117)*-3) + (sqrt(117) + -2*sqrt(117)*2)*2)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 5*w**2 - 6*w**2 + 26*w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = 60. Suppose 0 = -b + k. Suppose 3*q + 3*l - 29 = q, -5*l = -b. What is the remainder when 39 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8331 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 + 24*o**2 - 32*o - 26. What is s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3960)\/(-44) - 39)*((-8)\/(-6) + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50380\/45342*(-72)\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 3*g + 3. Let s = -10 + 6. What is the tens digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620 + -5001\/8. Calculate the common denominator of h and 5\/4*(-67)\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40022 is divided by 1380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y - 35804 = -63*y - 4*d, y - 4*d - 8981 = 0. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/17, 144, -0.1, 3, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 3*a)*(-1 + 1 - 1)*(14*a - 14 + 14).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17341396 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -455*c**2 - 3635*c + 30. What is y(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*m + 128*m + 33*m - 37*m.\nAnswer: 368*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.88566 - 2\nAnswer: -2.88566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (sqrt(1377) - (-1 + sqrt(1377))**2) + 3*(sqrt(68)\/sqrt(4))**2)*6.\nAnswer: -47628 + 972*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -1\/16*o**4 + 1\/8*o**2 + 0*o + 1\/12*o**3 + 12 - 1\/20*o**5. Factor k(r).\nAnswer: -r*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4371\/423*(1 + -7 - -7)*6\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 142238, 142240, 142242, 142244, 142246, 142248?\n\"Answer: 2*o + 142236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (255 - -2)\/(1\/2). Let k = -248 + w. What are the prime factors of k?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 t when four letters picked without replacement from frwtfwwjhwtttr?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23806 + -699534?\nAnswer: -675728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s**2 - 12*s - 2. Give h(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 21. Let p(i) = 293*i + 1732. Let d be p(-6). Give t(d).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-92 - (-5 - -3))*22\/(-5005) and 21\/442?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001110111 - 10001110?\nAnswer: 10010111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 5. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1332 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-420)*5*(-1)\/5*-2.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let q(m) = -2*m**2 - 11*m + 21. Let b(t) = -q(t) + 5*z(t). Let l(x) = 3*x**2 + 45*x - 44. Let d be l(-16). What are the prime factors of b(d)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103+0.1551\nAnswer: -102.8449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -6)\/((-143)\/39 - -4*290\/300)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/1485 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from abzwf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 186785 + 4?\nAnswer: 186789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 1071.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7686079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y**2 + 1613*y - 81000. Determine n(107).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 13*v - 4*v. What is the units digit of (-10)\/(-4)*28\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7 - 2)*(4 + 1 - 2*o - 7) to the form f*o + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*s + 2*i - 371, 5*i = 5*s - 635. Let l be -5*(-10)\/s - 0. Factor -l*k**5 - 4\/5*k**2 + 0 + 2\/5*k + 4\/5*k**4 + 0*k**3.\nAnswer: -2*k*(k - 1)**3*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -2401?\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 2. Let l(x) = -x**2 - x - 1. Determine c(g) - 2*l(g).\nAnswer: 2*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-394496)\/(-552))\/(-268))\/((-3)\/(9\/(-34)))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9002492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -20\/9, 2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 344*l - 663. Is x(15) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - p + 0 = -2, -5*d + 2*p = -11. List the prime factors of 16\/(d - 0)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) -101 (c) -0.6 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17526 + 784 - 2*o**2 - 616 to w*o + f + l*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03251 - 0.00822. Let g = -0.024 + q. What is g rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*j**4\/19 - 6506*j**3\/19 + 285660*j**2\/19 - 1222*j - 23760\/19 = 0. What is j?\nAnswer: -1\/4, 1\/3, 55, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -13.7. Let o = 7 - 0. Let v = -1109\/5 + 222. Put o, v, j in ascending order.\nAnswer: v, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34219*i**3*y**2*z**3 + 2*i**3*y**2*z**2 + 1368*i**3*y**2*z + i**3*y*z**2 + i**2*z**3 - 2*y**2*z**2 - y**2 wrt z?\nAnswer: 205314*i**3*y**2 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 9:18 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:03 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 864659?\nAnswer: 864659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -5 (c) 1\/7 (d) 4 (e) 13980\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/24344 and 49\/5984.\nAnswer: 1071136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2 + 3 + -4. Let h = 2 - 2. Suppose -4*o - 18 = -4*j + o, h = 2*j + o - 2. Solve -3 = -j*g + 6*g + b, -d*g - 12 = 4*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4660 is divided by 1153.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 10 + 3 - 3*d**3 - 46*d**2 + 3*d + 45*d**2 as z + b*d + i*d**2 + u*d**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/4))\/(c**(-9\/4)\/c)*(c\/((c**(-41)\/c)\/c))**(-4\/25))**33 assuming c is positive.\nAnswer: c**(-5841\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 499, 0.042, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1))**(-2\/39))**(-32)*(y**(-8)*y**(-7)\/y)\/(y\/(y*y*y\/(y*y**(-1\/4))*y*y*y*y)*y**(-4)) assuming y is positive.\nAnswer: y**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29925 + 27?\nAnswer: -298fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6922 - 574528\/83. Which is the biggest value? (a) 4 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-13 - -21 - 10). What is the fourth smallest value in -3, -5, 1, h, 29?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)*z)\/(z**(1\/4)*z*z))\/(z**5\/((z*z**(-2\/25)*z)\/z*z)) assuming z is positive.\nAnswer: z**(-633\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 + 628*n = 0 for n.\nAnswer: -157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + sqrt(19))*-1 + -2 + 3 + (sqrt(19) + -2)**2 + 2*sqrt(19)*-2.\nAnswer: -10*sqrt(19) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1550)\/(-7905)*17\/105\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18975?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:03 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6652?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -30*b + 63. Let i be w(2). Calculate the smallest common multiple of 12 and 45\/(i*(-4)\/(-120)).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31677 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254434\/3591 - 496\/7. Let z = 112518 - 112518. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127\/5? (a) 2711.6 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/7 + 6*z**3\/7 - 100*z**2\/7 - 528*z\/7 - 640\/7 = 0.\nAnswer: -5, -4, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4600 and 91\/3076.\nAnswer: 3537400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/2 + 60*w + 117\/2 = 0. Calculate w.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66309.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3277.819 rounded to the nearest integer?\nAnswer: -3278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 4*x - 11. Determine h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1012 + 1628. What is the common denominator of (-114)\/y + (-10)\/40 and -37\/6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (290\/(230\/23))\/(((-35)\/(-7))\/(-5)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3111 + -40.\nAnswer: -3151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 8*p - 3. Suppose 6*z = -8*z + 42. Let f(g) = 4*g**2 - 16*g - 5. Give z*f(i) - 5*s(i).\nAnswer: 2*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/5*(-4)\/(-12). Which is the nearest to u? (a) 2 (b) -2\/11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 4*j. Suppose z = -3*f - 14, 4*z - 2*z + 8 = -2*f. Let l(c) = c**2 - c. Let o(k) = z*p(k) - 4*l(k). Let a(n) = 4*n. Determine o(a(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16397, -31871, -47369, -62903, -78485, -94127, -109841, -125639?\nAnswer: -141533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 16*m + 99 + 20321*m**2.\nAnswer: 20321*m**2 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 + 3516*y**4 - 64011*y**3 + 295896*y**2 - 492444*y + 257040 = 0.\nAnswer: -1190, 1, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + -168. What is the common denominator of (-14)\/16*h\/(-9) and 11\/(-15) + 30\/(-45)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1639*o + 1692*o - 29521 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216de8 (base 16) to base 5.\nAnswer: -1030101244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**3 - 425*q**2 - 17*q**3 + 0*q**3 + 425*q**2.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 34*t**2 + t + 32. What is d(-17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/((-2)\/42). Let x = t - 4. Suppose -4*j = -4*u - 20, -128*j - u - 21 = -131*j. Sort x, -4, j in descending order.\nAnswer: j, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80325 and 89505?\nAnswer: 3132675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/3 + -11 + 17\/3. Solve -2*v = -f*a, -5*a - 3 = -2*v - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 + -234.999714. Round g to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-3)*(-18)\/(-18) + 1. Solve m*w - 6*w + 5 = 3*v, 0 = w + v - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 360 - 214. Let a = v - 95. Suppose 24 + a = 3*l. Solve -2*n - l = -7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 4*u + 5. Let y be k(-3). Let o be (-6)\/y*-2*1*25. What is the greatest common factor of o and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 9 - 1. Let f(r) = 2*r**3 + r**2 - 8. Let a be f(2). Solve 2*l - z = -a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000406093 to six decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5102226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16065\/405*(-32)\/(-408)\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3bb68 (base 12) in base 3?\nAnswer: -12022021100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = y + y - 30, -2*y + 3*m = 5. Let k(q) = q - 5. Determine k(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(33\/42 + 4\/(-14)). Find the first derivative of 164*u**2 - 2*u**l + 10 + 47 + 8 - 170*u**2 wrt u.\nAnswer: -8*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 10?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:15 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Let l be (-9)\/((-162)\/48) + 8\/(-12). Solve -2*t**l - 3\/2*t - 1\/3 - 5\/6*t**u = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 20*i**2 - 22*i - 16. Give h(19).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 1026, 1601?\nAnswer: 2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 - -196. Which is the second smallest value? (a) -26 (b) 1\/3 (c) -3 (d) 2\/17 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031440531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = c - 53*c + 672 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:54 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2.9, 0.2 in decreasing order.\nAnswer: 5, 0.2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = 15. Let v = 0.018 - -1.932. Let w = v + 0.05. What is the closest to n in -0.2, 2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990104 < 990109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/8*449\/3143*16*4\/(-456)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56268 divided by 521\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {z: 2, n: 1, x: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 1071.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 529 - 481. Sort b, 4, 2\/17, -3, 5.4.\nAnswer: -3, 2\/17, b, 4, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffazzffitit. Give prob of picking 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/42148 or 1?\nAnswer: 1\/42148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -691\nAnswer: -30\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 29 + 53 - 24. Let w(d) = d**2 + 112*d. Calculate v(w(x)).\nAnswer: -x**2 - 112*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khphlhp. Give prob of sequence lp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254213574 to the nearest integer?\nAnswer: 15944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40673792 and 7168?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-2240)\/3616))\/4 - 1\/(-8).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajaa when four letters picked without replacement from {d: 3, i: 2, j: 3, a: 4, w: 3, r: 1}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 2, p: 2}. Give prob of sequence plm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3872686?\nAnswer: 2, 1936343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.0069, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 350 (c) 25 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*l + 3 + 190*l**5 - 175*l**5 - 22*l**4 - 9 - 17*l**2 - 16*l wrt l?\nAnswer: 900*l**2 - 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16811857 - -61721175. Suppose -129418632 = 2*d - 4*p, 4*d + 194127951 = d + 3*p. Let c = r + d. Round c to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108208182169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2894.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -940 + -45.8.\nAnswer: -985.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -41.155, 0, 4545?\nAnswer: -41.155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 - 0.19. What is the smallest value in n, -14, -0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 + -4 - 3) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) 3 (c) 4898 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -469564 - 0?\nAnswer: -469564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-952)\/(-14))\/(2 + 0). Let a be 12\/(-28) - d\/(-14). Solve -m - a*m = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5445.37235 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-20))\/(35292\/5536)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*o + 247 = 1281*o - 419*o - 425*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18086 + -18091. Let a(n) = -4*n + 15. Give a(j).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21038 and -95.35.\nAnswer: -2005973.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26103941 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442545443 (base 6) to base 8.\nAnswer: -36333603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 18. Calculate the smallest common multiple of (-3 + (-81)\/q)*(8 + -1) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 8*y - 182.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 3\/4 (c) -3\/10529 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/340132 and -89\/14508.\nAnswer: 3061188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 - 27084*z**4 + 366798611*z**3 - 733515972*z**2 + 733488889*z\/2.\nAnswer: z*(z - 27083)**2*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -17.9. Which is the nearest to 2\/5? (a) 2 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 326*v**2 - 80*v + 246. What is the units digit of p(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-17 - (-33 - -62))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 217*f**2 + 35*f - 76. Calculate the remainder when 3452 is divided by c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938717 is divided by 1342.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22ed (base 15) to base 13.\nAnswer: -34c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2986571987?\nAnswer: 7, 109, 3914249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 7, -159, 52 in decreasing order.\nAnswer: 52, 7, -28, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 8\/10)\/(-1). Let x = 896 + -896. Sort x, 2\/15, y.\nAnswer: x, 2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -485670 to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 45*m - 193. Let p(u) = u**3 - 30*u**2 + 29*u + 15. Let t be p(29). What is the hundreds digit of z(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v**3 - 6*v**2 - 1\/60*v**6 - 3*v**4 + 2\/5*v**5 + 0 + 0*v. Factor x(d).\nAnswer: -2*d*(d - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.5476.\nAnswer: 0.10952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 322272 = 19813 - 28409. What are the prime factors of c?\nAnswer: 2, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975125 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from ffserseesrrrf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3 = l, -2*p - 2*l - 48 = 0. Let j be (105\/(-14))\/((-3)\/12) - 0. Let n = p + j. Solve 0 = v + n - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 4)*(-172)\/(-8). Let m(g) = -7*g + y - 103 + 2*g. Is m(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*4*sqrt(100))\/(-3*1*sqrt(5)*4))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 26 = 0, s + 1451 - 1389 = 5*a. Suppose 2*q - 1450 = -3*q. What is the smallest common multiple of q and s?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = -6. Let d = l - -5. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2. Let x(i) be the first derivative of 2*i**3 + 63. What is -8*b(j) + 3*x(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 33 = -k. Let w(x) = -8*x + k*x - 2*x. Let p(m) = -7*m. Calculate p(w(g)).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7310401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + 753\/(-21))\/((-150)\/952) - 12\/150.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 675, -1184 in descending order.\nAnswer: 675, 3, -1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1211 + -4791\/4. Find the common denominator of k and -119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0 + sqrt(3))*4)**2*-6 + 2.\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84623104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4566662*c - 6. Let x(h) = 4566661*h - 7. Let q(o) = 5*g(o) - 4*x(o). Let f(b) = -b - 3. Let j be f(0). Let r be q(j). Round r to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -207*d**3 - d**2 - 10*d - 24. What are the prime factors of b(-3)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10359092.\nAnswer: 2, 433, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-1 + -8)) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.9902ng to tonnes.\nAnswer: 0.0000000000001739902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - 2*u + 11. Let i(s) = -s**2 + s - 1. Let b(c) = f(c) + i(c). Let z be 0*(-2)\/4*1. Calculate the smallest common multiple of b(z) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1377) + sqrt(102)\/sqrt(6) + 1)*-6.\nAnswer: -60*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 h when four letters picked without replacement from {u: 1, g: 2, h: 1, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y + 148. Determine j(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/(-28) - 16\/28. Let s be (-2)\/(-3 + g) + 2. Calculate the least common multiple of 15 - s - 1 - 1 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 12268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 2*x**2. Let w be i(1). Let s(d) = -d. Let l(h) = 1194*h. Let z(j) = -400*j. Let g(p) = -l(p) - 3*z(p). Determine w*g(v) + s(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 8315202*g + 179768775*g.\nAnswer: 171453573*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13064\/(-426) + 10*(-10)\/(-4)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 532.14 - 526. Let b = v - 0.14. Is b at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30104*k**3*m**3 + k + 10186*m**3 wrt k?\nAnswer: 180624*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 4:45 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -2 - (8 - (41 + -43))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(637) + -2*sqrt(637) + -2)*4 - (sqrt(637) + 0 + 2 + 1 + sqrt(637) + 5)) + -2)*-3.\nAnswer: 54 + 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12995 and 9040?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -660 in increasing order.\nAnswer: -660, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 3. Suppose 0*a - 2*h = 5*a - b, -5*a - 5*h = -25. Let x(q) = 7*q**2 + 2*q + 1. Calculate the remainder when x(-1) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001404 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 14. Let w = 3 + a. Let k = 13 + w. Solve 5*g + k = -14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*u + 5 - 6 + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010 + 101100001?\nAnswer: 10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.02 (b) 1\/4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 104. Let x be ((-15)\/9)\/((-1)\/3). Calculate the greatest common factor of x and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580812581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 29. Calculate u(-19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7620.732 years to decades.\nAnswer: 762.0732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (19\/(-3))\/(6\/(-62424)*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2745 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s - 18. Calculate g(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4 + 9*k + 3 + k**3 - 5*k**2 + 3. Is r(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 18. Let j be m(0). Let d(c) = -42*c - 807. Let t be d(-22). What is the highest common divisor of j and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310831 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + v + 1680 = 0. Calculate the highest common factor of v and 896.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -11*p**8\/56 + 6*p**7\/7 + p**6\/15 - 65*p**4\/6 + 3*p**2\/2 - 8796*p. What is the third derivative of o(j) wrt j?\nAnswer: -1320*j**3 + 2160*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13680 divided by 19\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 5\/6*y**3 + 3\/20*y**5 + 0 + y**2 + 1\/120*y**6 + 0*y + 7\/24*y**4. Is x(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69.31996483 - -69.32. What is h rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.09 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k**2 - k. Let r(u) = -2*u**3 + 0*u - 4*u - 2 + 5*u**2 - 3*u**3. Let n = 5 - 0. Let o be n*(-6)\/(-15) - 3. Give o*r(t) + 4*m(t).\nAnswer: t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/140)\/(8\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*f + p - 2*p, 3*f - 5*p + 13 = 0. Let r be (-56)\/(-12) + 4\/f. Calculate the greatest common factor of r and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 - 4*h**4 - 2*h**3 - 6*h**3 + (1 + 2*h**3 - 1)*(0*h + 2*h + h) in the form j*h + a*h**4 + z*h**3 + r*h**2 + s and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 + 5 = 0. Let g = -64 + 53. Sort g, 1, v.\nAnswer: g, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o + 12*o + 555 = 648. Put 5, 1, o, -3 in increasing order.\nAnswer: -3, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2 + 387*l**3 - 192*l**3 + 24 + 2*l**2 + 26*l - 197*l**3 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 59\/6 (c) 5 (d) -1\/58 (e) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 20444 = 11*f + 10*f. Put 3, -2, f, 2 in descending order.\nAnswer: f, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuwwwwwwwuwu. Give prob of picking 2 w, 1 u, and 1 i.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3254 + -779\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 674*u**2 + 4*u + 9*u - 18*u as s*u + y + x*u**2 and give x.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*m - 94, 6*m = m + 5*b - 110. Let l be -1 + -1 - m\/4. Suppose 6*d - 7*d - 17 = -l*w, 4*w - 5*d = 41. Solve v - 8 = -v, w*x = 3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.8 + -15. Let s = -0.2 - q. Let u = -4\/17 + 46\/51. What is the closest to -1\/2 in u, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 52358356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -670*s**5*w**2 + 66*s**4*w**3 + 23787*s**2*w + 2*s*w**3 wrt s.\nAnswer: -40200*s**2*w**2 + 1584*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 greater than 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-15))\/((-4)\/70). Let y = -28 - o. Let n = 17 + y. Solve 6*r - n*r = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 2*s**2 - 9*s - 9. Suppose -14 = -2*u - 2. Calculate the remainder when l(-3) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v + 2*v**2 + 15 + 4 - 22 + 9 - 18*v**2 as u + p*v**2 + q*v and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u + 4*g - 150801, 0 = u - 5*g - 150792. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5403*n**5 + n**4 - 5*n - 201?\nAnswer: -108060*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -12149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5 - 2729*m**2 + 2727*m**2 - 5. Let p(c) = -226*c**2. Determine i(p(x)).\nAnswer: -102152*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 41771 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60890254.\nAnswer: 2, 1049, 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110693 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 9\/20 (c) 453.655 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) -0.4 (d) 11 (e) 13 (f) 19613 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43512120 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(14\/4 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 39*u**3 + 2*u**2 + u - 2. Let y be x(2). Let v = -214 + y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let t(w) = w**2 + 6*w. Let m(f) be the third derivative of -f**4\/24 + 3*f**2. Let l(g) = s*t(g) - 6*m(g). Let a(y) = y**2. What is a(l(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/25 - 24*n**4\/5 + 1774*n**3\/25 + 96*n**2\/5 - 7128*n\/25 = 0.\nAnswer: -2, 0, 2, 27, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 375169 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*v + 213*v = 264. Let w(f) be the second derivative of -3\/4*f**2 + v*f + 1\/12*f**3 + 0 + 5\/72*f**4 + 1\/120*f**5. Let w(s) = 0. Calculate s.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8441173.25037 + -0.1.\nAnswer: -8441173.35037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 3 + 41*d**2 - d**3 + 191*d**2 - 231*d**2 + 16*d to k*d + z*d**2 + c*d**3 + x + a*d**4 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 70801 and 70802 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28734757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 73?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -180*w**3 + 8*w**2 + 3*w + 4. Let v be i(6). Let y be ((-2)\/(-3))\/(v\/12855 + 3). What is the units digit of (-14)\/63 + y\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - (-193 + 11)\/14. Solve 2 = g*z - 16, -z + 14 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-10) - -1*7. Let j be 7 - 160\/24 - (-15)\/9. Suppose 0*s - 465 = -5*m - w*s, j*s = -m + 99. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-8)\/c))\/c)\/(c\/c**5)*(c**(-2\/5))**14*c**5\/c**(-2)*(c**(1\/3)\/c)\/c*c*c**(-6) assuming c is positive.\nAnswer: c**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 53155*v - 53151*v - 49 = 0, 4*i - 28 = -2*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1056 - 5*v + 1056.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**4\/4 + g**3\/3 + g**2\/2 - 2*g - 5. Calculate i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*q - 0 - 6, q - 9 = 2*h. What is the units digit of 31 - (-2)\/((-6)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a decade in years?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3240, -6480, -9722, -12966?\nAnswer: -16212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -8, 3\/2, -3\/5, 0, -464334?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 246 + 242. Let f(j) = -11*j - 17. Let b be f(c). Is -8 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10347876 and 2268?\nAnswer: 93130884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -748 + 2a8a87?\nAnswer: 2a833a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = -2. Let s = 7878 - 7848. What is the highest common divisor of s and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 - 9*k**3 + 25 + (2*k**2 - 5*k + 5*k)*(11 - 3 + 2*k - 11).\nAnswer: -5*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523 a factor of 74419852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*n = -18281, 3*n - 7*n - 20 = 0. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625516718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 + t - 3. Suppose -3*s + 4*v = -1, -2*s + 4*s + 5*v - 16 = 0. Determine l(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120311 or 418?\nAnswer: -120311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103\/1648)\/((-3)\/(-12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 23*o + 1\/3*o**3 + 0 + 0*o**2. Let s(p) = 7*p**2. What is s(z(c))?\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(84)\/sqrt(4) + (sqrt(21) - 4*sqrt(84)))\/(4*(sqrt(7) + (sqrt(7) - sqrt(14)\/(sqrt(10)\/sqrt(5))))*6).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22490681 is divided by 90.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3258*v**3 + 1484*v**2 + 5*v + 25. Let k(p) = -1630*p**3 + 742*p**2 + 3*p + 15. Let x(z) = -3*j(z) + 5*k(z). Find the third derivative of x(f) wrt f.\nAnswer: 9744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*z - 10 + 4, 2*z - 2 = -y. Let w(l) = -8*l - 9*l + 11 + 14*l - 13. Give w(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 3:03 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 87 - z**3 + 2*z**3 + 23 - 120 - 2*z**2 as m*z + c*z**3 + n*z**2 + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, 14, -16, 3\/7 in descending order.\nAnswer: 217, 14, 3\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 656606?\nAnswer: -656522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, 2 in ascending order.\nAnswer: -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8189, 8159, 8099, 7997, 7841?\nAnswer: 7619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 134, 198, 262, 326?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h + 3*i - 19, -3*h - 6 = -4*i. Solve 0*c**2 + c**2 + 4*c**3 + 0*c**2 + c**h + 2*c**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 10*m**4 + 3*m**3\/2 + 181*m**2. Differentiate y(x) wrt x.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1848436618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 3972390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -349*k + 1387. Solve -k*p - 131 = -128 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 2\/19 (c) -8 (d) -6 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00835758 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 3*h - 26 = 0, h = 2*l - 11 + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -7*z**4\/24 - z**3\/3 - 4*z**2. Let g(w) = 8*w + 3. Calculate 5*b(q) + 4*g(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 19. Suppose -245 + 161 = -3*f - 9*f. What is the greatest common factor of f and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2 - 1 + 1 + 4*r. Let l(w) = -3*w + 2. Let c be 4 - (0 + (-1 - -5)). Let u be (13 - 11) + (c - 5). What is u*l(s) - 2*k(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -265363161 + -35?\nAnswer: -265363226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -63, -5 in ascending order.\nAnswer: -63, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -48. Let r(s) be the first derivative of s**4\/2 - 9*s + 10. Let y(i) = -i**3 + 4. Determine h*y(b) - 2*r(b).\nAnswer: b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -846*k + 343. Is q(-2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -23*d - 7. Let f(t) = 45*t + 12. Determine 5*f(w) + 9*m(w).\nAnswer: 18*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46695 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**4 - 91617*l**2 - 302*l**4 + 91612*l**2)*(l + 3*l - 7*l).\nAnswer: 873*l**5 + 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7512 and -161\/18780.\nAnswer: 37560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/60 - u**4\/18 - 13*u**3\/18 - 5*u**2\/3 - 362*u. Factor p(t).\nAnswer: (t - 5)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2419)\/(-590) - 2\/20. Solve -l - 6 = 3*y + 8, h*y = l - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15959.31 millilitres to litres.\nAnswer: 15.95931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -62*l**2 - 26*l + 5. Let v(q) = 30*q**2 + 13*q - 2. Let i(b) = 2*s(b) + 5*v(b). What is the second derivative of i(j) wrt j?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:17 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83540224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1750162 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from {q: 1, r: 8, n: 2, v: 2}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210 - 121222120?\nAnswer: -121232330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 95\/54 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(0*x + 2*x - x) + (3*x + 0*x - x)*(0 - 1 + 2) in the form n + r*x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 15) to base 4\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/5 (b) 4 (c) 2.4 (d) 2\/3 (e) 1\/3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 32. Solve o*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/3 - 3*k**2 + 11*k. Let j(l) = -4*l**2 - 5. Give 5*d(t) - 6*j(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19872.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/15)\/(40\/180)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 3*r + 0*r)*(-2 - 6 - 8) as g*r + z and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeaeeaeaaaeee. Give prob of sequence ae.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -3210?\nAnswer: -3207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5356 - 2996 = 715*s - 193*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -15. Let j(z) = 3*z**2 - 20*z + 6. Let n(c) = -11*c**2 + 76*c - 22. Let a(f) = 15*j(f) + 4*n(f). Determine a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 2*h + 2*h**2. Let w = 31 - 11. Let c(s) = -3*s**2 + 20*s - w*s. Give c(m(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(125) + (sqrt(125) + 5 - sqrt(125)))*-3 + sqrt(125) + 2*3*sqrt(125))**2 + -5 + 0.\nAnswer: -2230 + 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16233, 16186, 16139, 16092, 16045, 15998?\nAnswer: 15951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/70 - 151\/770. Suppose 3*d = -2*y + 3*y + 8, -4*y + d = 21. Let b be y - -3 - (-3 + -3). What is the biggest value in -4, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -7. Suppose -3*f - 11612 = 2*z, q*z - 2*z = -3*f - 29012. What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2 + 16. Let r(h) = 7*h - 6. Let x(q) = 6*q - 6. Let a(d) = c*x(d) - 7*r(d). Find the first derivative of a(k) wrt k.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -755 in 4, -2\/15, -1114, -4?\nAnswer: -1114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6432540329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.51175 plus 15?\nAnswer: 17.51175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 284*h**2 - 555*h**2 - 95*h**5 + 283*h**2 + (-6*h**3 + 5*h**3 + 0*h**3)*(0*h**2 + 0*h**2 + h**2).\nAnswer: -96*h**5 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35702 is divided by 360.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(3\/1) - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13*-76\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4551836 * 0.3.\nAnswer: -1365550.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 15.74241.\nAnswer: -3.148482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4\/11*i**5 + 42\/11*i**4 + 0*i + 124\/11*i**3 + 78\/11*i**2 = 0. What is i?\nAnswer: -3\/2, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, 0, -25 in increasing order.\nAnswer: -25, -3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1136 = -1145, 3*g + 6 = -n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417130 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((-528)\/(-440))\/((-6)\/250)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*g - 48. Suppose 0 = 3*m + g*m - 18. Solve 0*z + s = -m*z + 11, 2*z = 4*s + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -178.1?\nAnswer: -71.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27744 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**3 + 5*j**2 + 161*j - 806. Let u be c(5). Which is smaller: u or 1867?\nAnswer: 1867","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 1690\/(-143) + 172\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19128 by 6376.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(2001\/(-116)))\/(3*-1)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -423887772284.\nAnswer: 423887772281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52493 is divided by 537.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1584) + -2 + sqrt(1584)) + 5 + ((2*sqrt(77) - sqrt(77))*-3)\/(sqrt(56)\/sqrt(2)).\nAnswer: -5 + 237*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*h - 0*h - 90, 2*h = 3*z - 54. Suppose 3*a - z = a. Suppose 2 = g - 3*q - 21, -5*q + 109 = 4*g. What is the remainder when g is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**8\/420 - q**6\/30 + q**5\/15 - 32*q**3\/3 + 45. Let v(d) be the third derivative of k(d). Factor v(g).\nAnswer: 4*g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35776 - 35742. Put w, -2\/5, 1\/2 in increasing order.\nAnswer: -2\/5, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-9))\/(100\/(-30)). Which is the second biggest value? (a) s (b) -0.3 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, y: 1, c: 4, u: 10}. What is prob of picking 2 u?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c - 5*u - 4, 0 = 3*c + 2*u + 10. What is the tens digit of 632 - (2 - 12\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.48 times -34?\nAnswer: -152.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135 or -46?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*b - 4 + 3 - 283*b.\nAnswer: -413*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*r - 41 = -13, -5*j - 3*r + 10 = 0. Let i(g) = -g**3 + g**2 + g. Let z(k) = -16*k**3 + 20*k**2 + 20*k. Determine j*z(y) + 20*i(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 109*y**3\/6 + 74*y. Let t(u) = -u**2. Give t(j(k)).\nAnswer: -11881*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5786*v + 182881 = -100633 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 - 102. Suppose -3*f + 51 = -5*t - u, -4*t = 4*f - 148. Suppose -4*k + f - 6 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/8)*z**(-2\/7)*z)**3 assuming z is positive.\nAnswer: z**(225\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 766268787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - 19177?\nAnswer: -19155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -5*c**4\/2 + 4*c**3\/3 - 3*c**2\/2 - 5*c + 1. Let u(j) = 45*j + 130. Let i be u(-3). Let x be p(i). Round x to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 335, 336?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71323, -71325, -71327?\n\"Answer: -2*i - 71321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:25 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) 2548 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184608994, 184608983, 184608962, 184608925, 184608866?\n\"Answer: -v**3 + v**2 - 7*v + 184609001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.427 - 0.027. Let h = 2.035 + -0.035. What is the third biggest value in m, 1, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 10 - -24 - (-8 - (3 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -2\/27*k**3 + 5\/108*k**4 + 2*k**2 + 1\/540*k**6 + 0 + 0*k - 2\/135*k**5. Let r(z) = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cc + 6fd79?\nAnswer: 70045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 25*u - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*v + 1, 0 = -4*v + 5*g - 560 + 503 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*i. Let n(k) = 4*k**2 - 2*k - 3. Let l be n(i). Let j(d) = -d + 3. Let h be j(-6). Calculate the greatest common divisor of h and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-35) + 1 + 10\/(-25). Sort -2\/5, 17, r, 0.4.\nAnswer: -2\/5, r, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2489142*t**3 + 1504031*t**3 + 1863193*t**3.\nAnswer: 5856366*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h\/(h*h**1)*h))**(-2\/13)\/(h**(2\/3)*h\/(h*h*h**(-1\/4))))**(-25) assuming h is positive.\nAnswer: h**(-1525\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.2 + 1.8. Let a = -10.1 + l. Let s = -0.2 + 0.3. What is the second smallest value in s, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*m**3 - 78*f*m + 2435*f + 3*m**3 + 8 wrt m?\nAnswer: -6*f*m**2 - 78*f + 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 0.3. Let r = -12 - -12. Let z = m - r. Which is the second smallest value? (a) -0.4 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 3, g: 7, y: 3}. Give prob of sequence gxu.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/12)\/(20\/30))\/((-2)\/(-26))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -16*l**2 - 3*l + 9. Let v(p) = -8*p**2 - 2*p + 5. Calculate 6*q(g) - 11*v(g).\nAnswer: -8*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -3*f**4\/8 + 7*f**3\/6 + 2*f**2 - f - 4. Let h(q) = 4*q - 4. What is 11*h(d) + 6*s(d)?\nAnswer: -10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -2\/3*g**3 + 10 - 11*g + 31\/2*g**2. List the prime factors of m(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -11182967?\nAnswer: -22365934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 - 26*j + 293. Is p(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313309704?\nAnswer: 2, 3, 1259, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 + -149. Let n(h) = h**3 - 19*h**2 - 28*h - 32. Calculate the remainder when n(v) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149496 divided by 12?\nAnswer: 12458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 5*v + 14*v**3 - 6 - 49*v**2 - v + 41*v**2. Let x(f) = -5*f**3 + 3*f**2 + f + 2. Give -3*d(p) - 8*x(p).\nAnswer: -2*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 176\/9 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose 4*g - 4*l + 17 = 201, 2*g + 4*l = 86. Calculate the remainder when g is divided by (-22)\/(-6)*k + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/32*(-230)\/(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21509186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 4aef?\nAnswer: -4af4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257927462?\nAnswer: 2, 13, 97, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let p(g) be the third derivative of -7*g**4\/12 + g**3\/6 - 44*g**2. What is p(v(x))?\nAnswer: -28*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -4.1. Let l = j - 7.8999548. What is l rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.261 and -0.07?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqquuqqqqqquuqqqu. Give prob of picking 3 u and 1 q.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*z - 3*z + 3, 2*z - 2*g + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 2, r: 1, n: 4, c: 2, k: 1}. What is prob of picking 1 f, 1 r, and 2 q?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-19*62\/(-589))\/(-15*10\/(-7425))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5214 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2865, 2869, 2875, 2883, 2893?\nAnswer: 2905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -18*n**5\/11 + 2118*n**4\/11 + 724*n**3\/11 - 1880*n**2\/11 - 944*n\/11 = 0.\nAnswer: -2\/3, 0, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**4\/8 - 625*m**3\/4 - 13861*m. Suppose u(a) = 0. Calculate a.\nAnswer: -625, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6990599983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 - (-6 + (-21 - -7)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -241\/12. Let t be ((-36)\/(26136\/3025))\/((-16)\/6 + 1). Which is the nearest to 0? (a) i (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f. Let g(z) = -29*z - 169. Let h(k) = 11*k + 58. Let b(u) = -3*g(u) - 8*h(u). What is b(a(j))?\nAnswer: -5*j + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*j - 2*j**2 + 36*j - 23*j**3 - 69*j + 15*j**3 - 7 as u*j**3 + f*j**2 + b*j + q and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9387081 by 3.\nAnswer: 3129027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667 = -535*g - 869 - 139 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 113 = 4*f, m + 2*m - 87 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 + 2*n**4\/3 + 4*n**2 - 39*n. Let m be g(-7). Let z = 58 - m. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*j - 766*j = -d + 4, 8*j - d + 556 = 0 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/20 + s**4\/2 + s**3 + 3*s**2 - s. Let n be i(7). Let b(v) = -13*v - 1. Is b(n) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 - 54*a**2 - 9760*a\/3 + 29768\/9.\nAnswer: -2*(a - 1)*(a + 122)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.6203891 to two dps.\nAnswer: -36.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2 and -53\/14761.\nAnswer: 29522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Let x be (288\/(-15))\/n*-5. Suppose 4*z = 5*g - 31 - 7, 0 = 5*g - z - x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, a: 5, n: 1, w: 4, s: 1}. Give prob of sequence sba.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)*j)**(-45)\/((j**(-2)\/j*j)\/(j*(((j\/(j**10\/j))\/j)\/j)\/j*j)))**(-2\/17) assuming j is positive.\nAnswer: j**(140\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 44*p**2. Let z(c) be the first derivative of c**4\/12 + 27*c**2\/2 + 32. Let h(v) be the second derivative of z(v). Calculate q(h(m)).\nAnswer: 176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*j*l**2*u**2 - 6*j*l**2*u + j*l**2 - j*l*u - l**2*u**2 - 3*u wrt u?\nAnswer: -52*j*l**2 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 17 - 47 = 0. Let -7*g + q*g - g**2 - 6*g = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 718568230 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w + 37. Let x be m(13). Let b(u) = 4*u**3 + 2*u**2 - 2. Calculate b(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*g + 38*g - 68*g - 79*g. What is j in -j - 17\/2*j**2 + g = 0?\nAnswer: -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -30*m - 34*m + 36*m**2 + 53*m - 10. What is the remainder when x(-1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*b + 12, 5*q + 4 = -3*b + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 - 203*y + 376. Let p be n(21). Let r = 1143 - 77. What is the highest common factor of r and p?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 6*sqrt(605) + -2)**2.\nAnswer: -308*sqrt(5) + 29649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 - 914*b. Let w(a) = -7*a + 565. Give d(w(j)).\nAnswer: 49*j**2 - 7910*j + 319225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c. Let w(v) = -2*v. Let o(k) = 3*b(k) - 6*w(k). Let u(r) be the third derivative of r**4\/24 + 9*r**2 - 3. Determine u(o(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -38. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/23 + (-8372)\/1058\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30967*h + 30936*h = -312 + 2 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 609.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 4*v)*(-63*v + 63*v - 15*v**3) - 107*v**4 - 77*v**4 + 75*v - 75*v.\nAnswer: -169*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2289*f**5 + 7187*f**4 + 23531*f**3 - 7187*f**2 - 21242*f = 0. What is f?\nAnswer: -13\/7, -1, 0, 1, 1634\/327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + 33. Let x be 16*((-1)\/(-4) - 108\/(-16)). What is the highest common factor of w and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 + 0.95. Let t = -0.043 + -10.017. Let a = c - t. Round a to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5560*p + 372586. What is c(-67)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139237235 to the power of 1\/2, to the nearest integer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13501\/3 - 4499. What is b in 0 - 1\/3*b - 1\/3*b**5 - 2*b**3 + h*b**2 + 4\/3*b**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**10\/15120 + t**9\/3780 - t**7\/630 - t**6\/360 + t**4\/8 + t**2. Let c(b) be the second derivative of j(b). Factor c(w).\nAnswer: 2*w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58260739 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v + 6. Let p be f(4). Let y be (2 - 6\/2)*-2 - p. Find the third derivative of 36*l - 7*l**y - 36*l - 2*l**2 + 14*l**2 wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -104. Suppose -10*y = r*y - 32. What is the nearest to 0.1 in 2\/7, y, -4\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, u: 9, e: 4}. What is prob of picking 4 u?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**3 - 249*n**2 - 183*n - 5200. Determine i(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 15*t = 0. Suppose m + 7*y - 4*y = t, -4*m = 5*y - 7. Which is the closest to 1\/2? (a) m (b) -3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjeerjjrrr. What is prob of picking 1 e and 1 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 504?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1497, 2852, 4047, 5076, 5933, 6612, 7107, 7412?\nAnswer: 7521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*q - 8*q**4 - 25*q + 4*q**4 + 20 - 9 - 3*q**4 + q**3 to the form d + a*q**4 + p*q**2 + s*q**3 + c*q and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 276*m - 22. Let o be l(3). Suppose -3*u + 11*k + 599 = 9*k, o = 4*u + k. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2.5, 2\/5, 0.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173333185671 + 0.3.\nAnswer: 173333185671.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458 (base 14) to base 16.\nAnswer: 35e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.75.\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3161 + -a?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = -5*g + 31, -3*g = -2*t - 17. Sort 1, -5, t, -41 in ascending order.\nAnswer: -41, -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3\/3 + 5*i**2\/2 + 341*i. Let m(p) be the third derivative of -p**4\/12 - p**2. Give m(t(o)).\nAnswer: 4*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**4 + 19*g**3 + 38*g**2 - 123*g - 147. Let x(j) = 4*j**4 + 20*j**3 + 40*j**2 - 122*j - 146. Let s(t) = 2*v(t) - 3*x(t). Factor s(q).\nAnswer: -2*(q - 2)*(q + 1)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8 + 26*p + 2 - 20*p + 0 - 8*p. Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, u: 1, d: 1, x: 3, s: 1, a: 3}. What is prob of sequence iiai?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 4355 = -23*q. Suppose 0 = -6*h - 7*h + q. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46123, 368789, 1244597, 2950117, 5761919, 9956573, 15810649?\n\"Answer: 46095*a**3 + a**2 - 2*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at most as big as 774\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/4)*(-30132403)\/(-207452)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741a12 (base 13) in base 2?\nAnswer: 11100110001110011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-4 - sqrt(117) - sqrt(117))\/(sqrt(144)\/sqrt(4) - sqrt(36) - sqrt(36)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4 = 793*g - 794*g, -5*g + f + 22 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(4*-5))\/((-6)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(50)*6)**2 + (-2 + sqrt(14)\/((sqrt(77) + (sqrt(77) - ((sqrt(77) + 2*sqrt(77) - sqrt(77)) + sqrt(77))))\/sqrt(11)))**2.\nAnswer: 4*sqrt(2) + 259206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 - 3*r - 6. Let m be ((-2)\/4)\/(2\/28). Let w be j(m). Let g = -18 - w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 29, 28, 13, -22, -83, -176, -307?\n\"Answer: -d**3 + 2*d**2 + 8*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62 and -4?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1 - -1)\/(12 - 7). Suppose -s + 28 = 3*s. Suppose -4*h - 7*c + 4*c - s = 0, -4*h = 5*c + 9. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 1\/2*u**2 + 23 - 13*u. Determine a(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27818 + -27812. What is the smallest value in 0.2, 4, k, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.3, 0.1, 0.2393?\nAnswer: 0.2393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -26691265?\nAnswer: -26691236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiippp. Give prob of picking 4 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 0, -37472 in increasing order.\nAnswer: -37472, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 2 h when four letters picked without replacement from {e: 6, i: 3, k: 1, f: 4, d: 1, h: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*n - 141*n = 96. Let q(w) = w + 1. Let b be q(3). Solve 3*t - m + b = -0*t, 3*t + 4*m - n = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4292420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 14. Let b be u(-3). Let o be b\/5 - 12\/15. Let n(m) = 7*m**3 - m**2 - 2*m - 1. Calculate n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 109*g - 106. Give o(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 + 348*b**4 - 8994*b**3 - 63684*b**2 - 100467*b.\nAnswer: -3*b*(b - 61)**2*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 10.955.\nAnswer: 10.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -524237659710202 - -524237654504465.51000082. Let f = u - -5205736. Let k = -0.49 - f. What is k rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 2*g + 3. Let q be h(3). Calculate the common denominator of (-507)\/(-72) - q\/9 and 6\/(-2) - (-326)\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*(-3)\/3. Let p be -6*3\/(-6) - u. Suppose -4*v + 297 = -3*b, 3*b = p*v + 5*b - 152. What is the highest common divisor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**6 + 2*b**2 - 2*b. Let u(k) = k**6 - k. Let j(a) = c(a) - 2*u(a). Find the third derivative of j(s) wrt s.\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8919*r - 142599. Determine p(16).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/22220 and -109\/359560.\nAnswer: 3955160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*h + 1 - 8, -2*m - 2 = 0. Suppose -4*f = 4*q + f, 0 = -3*q - 4*f. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 26*v + 7. Let k(w) = -201*w - 415. Let s be k(-2). Give y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167514235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 + r**2 + 9*r - 13. Let z(s) = -5*s**3 - 2*s**2 - 14*s + 20. Determine -8*h(l) - 5*z(l).\nAnswer: l**3 + 2*l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*t - 1464 = -1470, -2*p - 3*t = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7\/4*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190607 + -750607. What is x rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -302923, -302933, -302953, -302989, -303047?\n\"Answer: -k**3 + k**2 - 6*k - 302917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**2*o**3*z**2 - 2*l**2*o*z**3 - 23*l*o**3*z**3 - 8*l*o**3*z - 2*l*o**2*z**2 - o*z wrt z?\nAnswer: -12*l**2*o - 138*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*n**4 + 0*n + 0*n + 7*n**4)*(n - 2*n + 3*n).\nAnswer: -290*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.99 + 14. Is s <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from zjzjjzzzzzzzzzz.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-7) - (-2 + -1). Let c(g) = g + 3. Let d be c(r). Suppose d = -k + 5*k. Solve 4*u - u - 12 = k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*m + 10 = 0, -k - 9 - 6 = -3*m. Suppose k = -7*c + 16*c - 9090. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 4*sqrt(68))*-3)\/(sqrt(4) - sqrt(1008)\/sqrt(7)).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(612) + 0 + sqrt(612)) - (1*(-1 + sqrt(612)) + sqrt(612)))**2.\nAnswer: 72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-20))\/(132\/10))\/(1049\/(-4196))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 297*w**2 + 2*w - 15. Let r(i) = 298*i**2 + 4*i - 15. Let u(f) = -5*r(f) + 6*x(f). What is the thousands digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 16) in base 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**4 - 30741*o**3 - 104980513*o**2\/4 + 8750938*o - 729316.\nAnswer: -(o + 1708)**2*(6*o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.07, 4\/5, 0.2, -16?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 167\/5 in 7\/3, -0.05, 0.2, -5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.2 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 205*q**2 - 3352*q - 3464. What is f(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1546923, 3093854, 4640785, 6187716, 7734647, 9281578?\n\"Answer: 1546931*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 9*j**2 + 0*j + 5*j + j**3 + 3. Suppose -5*m + 7*m - 17 = 5*z, -2*m - 28 = 4*z. What is f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606728 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: Let b be 3 + (-1)\/2*0. Suppose -p - b*k = -4*k - 9, p - 2*k = 13. Suppose 0 = 4*m + p - 9. Solve -4*s = -3*s - m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1394.2 + -11.5513257.\nAnswer: 1382.6486743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/6986 and -25\/34244.\nAnswer: 17087756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1733 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00108998404 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 31 + 34. Find the third derivative of 30 + 54 - 84 - b**4 + 188*b**2 + 19*b**v wrt b.\nAnswer: 1140*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 38. Suppose b = -w - 2*w - 24. What is the hundreds digit of ((-140)\/w)\/(3\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1718.5 rounded to the nearest 10?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 9*i = -47, -3*m + 7695762 = -5*i + 7695732 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 8:49 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 85.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209169219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)\/(g**(-1\/6)*g))**(2\/11) assuming g is positive.\nAnswer: g**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1628768, 1628761, 1628750, 1628735, 1628716?\nAnswer: 1628693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:23 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/24 and 1\/4*(-671)\/(-44)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -46855.\nAnswer: -46851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*a + 20*a - 1919. Let r(f) = -3*f**3 + 58*f**2 - 19*f - 15. Give r(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12*c. Let b(v) = 223 - 22*v**2 + 224 + 222 - 669. Calculate b(n(j)).\nAnswer: -3168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*d + 4*z, 15 = 5*d - 2*z - z. Suppose s + 0*s - 14 = d. Suppose 77*a - 512 - 566 = 0. What is the greatest common factor of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3000)\/800*(-8)\/(-840).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(0 - (-12)\/30) + 1. Solve -2*v = -5*a - 12, 0 = -0*v - 5*v + c*a - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2904*v**3 + 2898*v**3 + 77*v - 5811*v**3 + (41*v - 16*v - 5*v)*(-3 + 3 + v**2) to the form z + r*v**2 + s*v + x*v**3 and give s.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvv when three letters picked without replacement from {v: 4, u: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 2, o: 3, s: 8, x: 2, t: 2}. Give prob of sequence ztc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -17. What is the lowest common multiple of (-3 - -5)\/2 - -17 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let r be d(-2). Solve -4*i + 4*w - 36 = 0, 16 = -r*i - 2*w + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*h + 7*h - 130572. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5589 and 18?\nAnswer: 11178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -13*a + 15. Let y(l) = 45*l - 58. Calculate -22*q(f) - 6*y(f).\nAnswer: 16*f + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -120*w. Let u(i) = -17*i. Let f(c) = t(c) - 6*u(c). Let n(x) = -51*x**2 - 1. Give f(n(m)).\nAnswer: 918*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from lddddedndnddnnne?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 25*q + 68. Let u = -329 - -338. List the prime factors of k(u).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -198*g + 99*g + 101*g. Let i(a) be the second derivative of a - 5\/3*a**4 + 0 + 0*a**2 + 0*a**3. Give i(p(o)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -3*v**4\/8 - 35*v**3\/6 + 30*v**2. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - (6 + (-15 - -18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 41 - 115 = 168*y - 38 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:14 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/12 - t**3 + 3*t**2\/2 - 9*t. Give n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -11, -38 in increasing order.\nAnswer: -38, -11, -5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8863000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 4*w**3 - 12*w**3 + 46*w**3 - 14*w**3 - 6*w.\nAnswer: 4*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 + 224*h**2 + 238*h - 1356 = 0. Calculate h.\nAnswer: -3, 2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1847, -7335, -16481, -29285?\n\"Answer: -1829*u**2 - u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160 or 479608\/3005?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34884 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a + 20. Let v be i(0). Let x = 50 - v. What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 + 81*h**4 - 261*h**3 + 267*h**2 - 90*h.\nAnswer: 3*h*(h - 1)**3*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**8\/616 - 2*q**7\/1155 + q**6\/66 + 2*q**5\/55 + q**4\/132 - 2*q**3\/33 - 3*q**2. Let x(z) = 0. What is z?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j - 451 + 101 - 10 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/((-22884)\/(-350888))?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*165\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -25. Suppose 154 = 4*u + 5*g, b*u + 6*g - 2*g = 80. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fttttf. Give prob of picking 1 f and 3 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 76, 484, 1188, 2158, 3364?\n\"Answer: -5*v**3 + 178*v**2 - 91*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 4*u + 3. Let y be b(4). Let p be ((-24)\/(-20))\/(y\/10). Let k be 0*p\/8 - -2. Put k, 5, -4 in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145456622*j + 185322623.\nAnswer: 145456622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (2 + sqrt(539)))**2 + -2 + 1*(-3 + sqrt(539)).\nAnswer: -1 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -137. Let h be 2\/(-3) - 645\/(-9). Let j = h + b. Calculate the highest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-18))\/((-3)\/(-24) + 0). Let g = 145 + -185. Let u = 45 + g. What is the third smallest value in u, j, 7.8?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 + r**3 + 10*r**3 + 0*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twtw when four letters picked without replacement from twtwtwtwttww.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 68, 116, 188, 290, 428?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + h - 23, 4*x - 2*h + 28 = 7*x. What is the greatest common divisor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.141 and 13?\nAnswer: 1.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**2 + 1 - 110937*d - 1 + 110937*d.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.4, 0.5, 8 in descending order.\nAnswer: 8, 0.5, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 207\/18)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*r - 0*r - 6, 5*r - 22 = n. Let y be n\/8 + (-1 + 0)\/(-1). What is the second smallest value in 2, 5\/3, y, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 20*q - f - 88, -3*q - 4*f + 62 = 0. Calculate the remainder when 781 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203172517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36423432, 72846861, 109270290, 145693719, 182117148?\n\"Answer: 36423429*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 342661779 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 0, -n = -3*w - 3*n + 126. Suppose -11 = -j - 5*f + 12, -5*j = -3*f - 227. Let s = j - w. Solve -2*r - 20 = s*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137.01 * 0.18.\nAnswer: -24.6618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65331, -65329, -65327, -65325?\n\"Answer: 2*h - 65333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -785 + 14143\/18. Find the common denominator of g and -1*(-7835)\/(-750) - (-60 + 49).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339 by -124621.\nAnswer: -339\/124621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a. Let v be i(3). Suppose -5*k - 134 + 5 = -3*d, 0 = 4*k - v. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/3 - 25*t**3\/3 - 20*t**2\/3 + 28*t + 80\/3 = 0.\nAnswer: -4, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 1192*x**3 + 6*x**2 - 1195*x**3 in the form s*x**3 + n*x**2 + v + h*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 21 - -24 - -9) + (-1 - 0).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 543 and 1004007?\nAnswer: 1004007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*l + 1767 + 722 = -11 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in 23, 11, 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6336 = 10*a - 6246 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 19) + 5 + -3 + -13601 + 13605.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8753711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.733156 millilitres?\nAnswer: 0.008733156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20282559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1100 and 2558160.\nAnswer: 12790800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q - g + 23 = 0, 5*q - 85 = 5*g. Let l be 5\/q + (-950)\/(-8). What is the greatest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*n = -15, -8 = -3*c + n + 1. Solve -2 = b, -6*b + 14 = 4*j - c*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7909 and 196999?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/4)\/(-5))\/(25\/50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -8, 25, 4.\nAnswer: -8, 2, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -821, -3459, -7893, -14123, -22149?\nAnswer: -31971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18945173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/391 - -728\/10557. Let g = 2 - -1. Suppose -n = g*q + 10, -4*n - 3*q - 5 = 8. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*24\/2. Suppose 4*k - q = k. Suppose -k*f + 11 = 3. Solve 0 = -2*t - 5*i - 12, -t + f*i = -0*t - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -131*h + 33*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, 5, -78064\/3 in decreasing order.\nAnswer: 5, -189, -78064\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25944116 a multiple of 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/24 + t**3\/6 - 2*t**2. Let l(p) be the first derivative of 3*p**2 + 9*p - 4*p - 10 - p**2. Determine -2*l(h) + 10*o(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 14. Suppose 2*y - v*k - 12 = 0, -k = 2*y + 2*y - 24. Solve 4*j + 3*r + 17 = 0, 3*j = 5*r - r + y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t - 4. Let w be n(6). Let i(z) = 3*z + 22. Let q be i(-9). Let j = q + w. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*k - 60 = -192*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -2, 7\/6, -5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 56. Calculate the remainder when 34 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -3, 60, 159, 300, 489, 732, 1035?\n\"Answer: i**3 + 9*i**2 - i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134998 - -405017\/3. Let y = 73 - 165. What is the common denominator of r and y\/5*2\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220397.\nAnswer: 59, 54583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let z be f(-5). Which is bigger: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/4*106\/53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 2*c - 5. Suppose 0 = -5*y + 5 + 15. Let o be h(y). Suppose 0 = -0*n + o*n - 96. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8279470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2) + 3\/1. Suppose -k*n + r - 44 = -118, 10 = -5*r. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 21*d**2 - 119*d + 1148. Determine x(18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.83 + -0.28. Which is smaller: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37, 35, 33?\n\"Answer: -2*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75c65 (base 13) to base 8.\nAnswer: 640037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2 = -17, -4*a + 5*j + 38165 = 0. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522272 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194\/123 - -40675\/492. Which is bigger: 9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 3\/14 (c) 52\/9 (d) 357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -117*m - 6147. Determine p(-61).\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 4*i + 4. Suppose 3*c - 227 = 2*c. Suppose w = -3*w + 3*j + c, -5*j = -2*w + 117. Calculate the remainder when w is divided by p(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-2970)\/45 + 64. Suppose -2*o + 4*y - 12 = 0, o + 3*y = y + 10. Solve -o*q + 8*q - 12 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 46 - 32)*(3*r - r + r) to b + y*r and give y.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 43 = 3*x + 23, -5*x + 60 = 5*w. Calculate the remainder when 48 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 10*w + 11. Let m be q(-9). Solve -m*z + 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 28 + 20. Let l be (6\/(-8))\/(122\/c + 5). Suppose -l*s = 91 - 1576. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 97*p**2\/2 + 2*p + 2. Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/((-2)\/((-8)\/(-4))). Let o be 17\/(g*(-2)\/8). Let w = o + 4. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 20 - 2 = 23*z. What is the remainder when 178 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -19*u - 1. Let t(z) = 10*z**2. Calculate t(v(h)).\nAnswer: 3610*h**2 + 380*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + -4 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7105 by 245.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 16*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 10) to base 16\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164.192 + 164. Let k = -105028 + 105028.192316. Let h = k + a. Round h to 5 decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5902, -5892, -5876, -5854, -5826, -5792, -5752?\nAnswer: -5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.05 and -6.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (29 - 22)) + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/11 (b) -5\/2 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 292930?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1603 + 55)\/172*(1 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let v = r + 4.6. Round v to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(195\/6)*(-78)\/6)\/(8\/164)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 greater than 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(300))*5*-4)**2.\nAnswer: 8000*sqrt(3) + 120400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 797 and -0.2?\nAnswer: 797.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/9896231?\nAnswer: -4\/9896231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2073, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 8 = 52. Solve -3*o = -2*a, 0 = j*o - 0*a - 4*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -907807.2 to the nearest one hundred.\nAnswer: -907800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**3 + w. Let o be d(1). Let t be (13 - 9) + (1 - 0). Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002102 (base 3) in base 6?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-84) - 0)*1411. Let q = w + -101\/3. Is q greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2121367*a. Let q(p) = -p**2. Determine z(q(t)).\nAnswer: -2121367*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19837*k**2 + 12908*k**3 - k - k + 19840*k**2)*(2*k**2 - 2*k + 2*k).\nAnswer: 25816*k**5 + 6*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 11*l + 2*g - 36237 = 0, 2*l = 4*g + 24142. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1044 - 1047. Let n(p) = -p**3 + 2*p**2 + 4*p. Calculate n(d).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 437934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - -2.3. Let g be ((-8)\/792*3)\/(2\/(-12)). Let c = -5.9 + 0.9. Sort g, c, v in decreasing order.\nAnswer: v, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + -3 + -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/3 + (-1 - 1). Let m = 96 + -98. Which is the closest to s? (a) 5 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 2}. What is prob of sequence xax?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*n = 13, j - 2*j + 5 = 2*n. Suppose -2*p + 4*b + 40 = 0, -j*p + 19 = -b - 16. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79259.\nAnswer: 79259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1071 (b) -0.1 (c) -0.4 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 324*i**3 - 20453*i**2 - 178920*i - 367952.\nAnswer: (i - 61)*(i + 4)**2*(i + 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.585 to one decimal place.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**3 - d**3 - d**3)*((6 - 4 - 4)*(-3*d + 4*d + d) + 16 + 10*d - 16) as x*d**2 + q + z*d**4 + a*d**3 + c*d and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + h - 5*h)*(14*h**3 - 58*h**2 + 58*h**2) to l*h**3 + f*h**4 + w + v*h + n*h**2 and give f.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38014 is divided by 352?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 24965\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -915 or -4077\/10?\nAnswer: -4077\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 14) + (-6 - (-7 - 0))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 1113, 2474, 4373, 6804, 9761, 13238?\nAnswer: 17229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -36, -59, -86?\n\"Answer: -2*m**2 - 13*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -2)\/((-10)\/(-10515)).\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.037 - 0.237. Which is the third biggest value? (a) -6 (b) -2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -639, -4\/5, 20\/41, 19, -5, -2 in descending order.\nAnswer: 19, 20\/41, -4\/5, -2, -5, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17747326.\nAnswer: 2, 8873663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 5*g**2 + 4. Let n be y(-5). Suppose 2*d + 7 = 3*k, -n*k = 9 + 3. Calculate the common denominator of (-4)\/d - 50\/(-7) and -61\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 - 7827*t\/8 + 23373\/2.\nAnswer: 3*(t - 2597)*(t - 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1745)\/(-698))\/(10\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426 (base 11) to base 8.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 1. Let o(s) = -11*s - 2. Let l(g) = -4*d(g) + o(g). Let a be (-30)\/(-20)*(-50)\/(-3). Let i be (10\/a)\/((-1)\/(-5)). Determine l(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 373? (a) -2\/3 (b) -1 (c) 0.1 (d) 37 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 0 - (-8 + 6 + (-4 - -2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**3 - 18*y**3 + 90*y**3 + 68*y**3 - 2*y**2 + 7*y**3 - 2*y to the form z + r*y**3 + u*y**2 + x*y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -49*z. Let x(q) = 148*q. Calculate 7*p(a) + 2*x(a).\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1229246107 to the nearest integer?\nAnswer: 35061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-4) + 11345)\/(1 + 343\/(-350)). What is u rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 68*j**2 + 536*j**2 + 25.\nAnswer: 468*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 255*s**3 + s**2 + 3*s + 3. Let w be o(-2). Let y = w - -15807. Is 2\/(-9) - y\/(-72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (9 - 3) + 8 - -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 198 = 5*b - y, -b + 2*y + 30 = 0. Suppose 0 = -5*s - 2*n + 21, n - 46 + b = -4*s. Let m(i) = i**3 - 6*i**2 + 4*i - 1. Calculate m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 9. Let z be b(7). Suppose 0 = 5*v + 5*v - z. Suppose -4*s - 4*u + 44 = 0, -s = -u - v*u - 41. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11629447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -5. Find the common denominator of (16\/40)\/((-4)\/g) and -83\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11430\/3429*-6*4\/5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -620.0002372 + 620. Round s to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**6\/240 - 3*l**5\/40 - l**4 - 2*l**3\/3 + 39*l**2\/2 + 68. Let s(c) be the third derivative of o(c). Factor s(z).\nAnswer: 3*(z - 8)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1\/3 (c) 3\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6*h + 8. Calculate the remainder when 8 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 9.1 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let t be ((-3)\/6)\/(2\/(-8)). Let z be t*(62\/(-30) + 2). Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2157 + 2200. Which is bigger: w or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30036218 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -707515, -2830058, -6367631, -11320234, -17687867, -25470530?\n\"Answer: -707515*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g - 36. Calculate the highest common divisor of 18 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -226*l**3 + 13*l**2 + 5*l + 4. Let s be i(-2). Calculate the highest common factor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*c + 3*a + 112, -3*a - 16 = -c. Solve 4*y - c = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2453*p + 168117 + 131566 = -21660 for p.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*a = 26, 7*a + 10 = 2*a. Let o be -4*(1 - 21\/12). Suppose o*q + 2*q = -25. Which is bigger: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -211*(-1*2 + 1). Let x = -22 + 22. Suppose 5*q - 2*d = l, x*d + 2 = d. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -e784d?\nAnswer: -e7859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 3*a + 1061 - 467 = 0 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2148921 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 74*f + 657. Determine v(-9).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/28 + -6 + (-570)\/(-21) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 1, v: 1, q: 1, a: 1}. Give prob of picking 1 g, 1 a, 1 q, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 4, 2*c + w - 29 = 0. Suppose p - 83 = c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 1491438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 6101*s + 6098*s + 3*s**4 + 8 to the form o*s + y*s**4 + z*s**3 + m + f*s**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c + 13. Let d(k) be the second derivative of -k**4\/12 - 5*k**3\/3 - 5*k**2\/2 + 2*k. What is the remainder when h(-10) is divided by d(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193620 and 518700.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 211200012222?\nAnswer: 211200012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190820376 to the power of 1\/2, to the nearest integer?\nAnswer: 34508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13140 = -559*v + 1289*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*l + 41. Let q be 63\/42*(-104)\/(-6). Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 28*p**4 + 56*p**3 - 32*p**2 = 0. What is p?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(3\/(-9))\/((-1)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 - 3*c - 2. Let n(m) = -8*m + 69. Let b be n(8). Give h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let c(k) = k**2 + 5 + k**a - 5. Suppose 0 = -d - 2*d. What is c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(2 - 3 - 6)*(2 + 0 - 4)*(f - 4*f + f).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*b - 185*b + 15*b**3 + 10*b**3 wrt b.\nAnswer: 150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10 + 5 + -16).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a93040 + -5?\nAnswer: a93036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 8*p**2 + 16 - 8*p**2 - p**2 - 123.\nAnswer: -p**2 - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 + 6 = 0. Let m(z) = -z**3 - z**2 + 1. Let t(y) = -y**2 + y + 1. Let w(d) = g*t(d) - 3*m(d). What is the second derivative of w(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11cb3b (base 14) in base 9?\nAnswer: 1131577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 3*u - 3. Suppose 40 = 2*n + 16. Calculate the remainder when a(-5) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from {j: 2, h: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362\/3 + 123. Let b(k) be the second derivative of 0 - 4\/3*k**4 + t*k**3 + 2*k - k**2 - 8\/5*k**5. Solve b(d) = 0 for d.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 - 173868*i - 869344\/5.\nAnswer: 4*(i - 217336)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + b + 0)*(3 + 1 - 5) + 3 + 2*b - 3 - 20*b + 4*b - 6*b + (5*b - 4*b + 9*b)*(3 - 1 + 2) in the form l*b + w and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/4)\/((2\/(-1))\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125217 = -99*h + 121752 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10233 - -2371. List the prime factors of l.\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, p: 7, s: 5, e: 1, f: 3}. Give prob of picking 1 e, 1 f, 1 s, and 1 p.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 31. Let h(m) = -m**2 + 11*m - 16. Let n be h(10). Let x be u(n). Let w(j) = 4*j + 1. Let k(i) = 3*i + 1. Calculate x*k(d) - 5*w(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17373, -17370, -17367, -17364, -17361, -17358?\n\"Answer: 3*z - 17376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18325982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j**2 - j. Let b(i) = 5*i**3 + 6*i**2 + 6*i. Suppose q + 2*q + 36 = 0. Let h = -18 - q. What is h*v(l) - b(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:26 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 x when four letters picked without replacement from ccccxccccccx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300*b*w**2 - 3*b*w + b + 18237*w**2 + 2*w - 1765338 wrt w?\nAnswer: -600*b + 36474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -6*b - 16*a + 13*a, 40*a + 474 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 35 = -3*n - 2*w, 3*n = -2*w + 34. Suppose -4*u + n = 3*m, -u + 4*m = -5 + 2. Solve 0 = 5*s + 3*y - 0*y + 25, 0 = -u*s - 2*y - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let h(t) = 2*t - 5. Let j(z) = 3*z - 3*z - 3 + z. Suppose 0 = -10*a + 8*a - 10. Let u(l) = a*j(l) + 3*h(l). What is k(u(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c**2. Let u(m) = -22*m**2 - 1. Determine l(u(r)).\nAnswer: 8228*r**4 + 748*r**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3519 and 82977.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 101\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, c: 7}. Give prob of sequence bb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 16.991.\nAnswer: 254.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:03 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.3 + -60. Let d = 1.2 - 0.5. What is the closest to -1 in d, 2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 1121*y**2 + 1105*y**2 + 1094*y**2 + 3*y - 3325*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 433\/267 - -4\/89. Let p = -4971 + 4925. What is the second biggest value in 2\/11, 0.1, p, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*l + 56 = 0, -32*l - 581 = -78 + 201 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 5*u**6\/3 - 2*u**3\/3 - 3. Find the third derivative of b(z) wrt z.\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-822)\/1781*2\/(-18)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/27 and -55\/3753.\nAnswer: 3753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35242284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*w + 1. Let z(o) = 2*o**2. Let c be z(-2). Suppose w*r + j = c, 5*r + 4*j - 30 = -j. Solve -3*b + 14 = d, 0 = -5*d - b + 3*b + r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199147775*f**4 + 17*f**2 - 7466*f + 5 wrt f.\nAnswer: -4779546600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1143 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = -6. Let j = u - -5. Let z(x) = 2*x + 13. Let c be z(-6). Put j, c, -3 in increasing order.\nAnswer: -3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.2. Let y = 272 - 275. What is the second smallest value in y, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56825 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118692 and 10710.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*n - 3, 0 = -5*w + 152*n - 157*n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10213110 (base 4) to base 6.\nAnswer: -223300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -293 and -291 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -141 (c) 1\/3 (d) 5 (e) 0.7 (f) 3 (g) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o**3 - 13*o**2 - 20*o - 6. Give w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-2\/19)*v)\/(v\/(v**(-9)*v)))\/(v**(8\/5)*v*v**(-2)) assuming v is positive.\nAnswer: v**(-637\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26\/3)\/((-10)\/(-15)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)*-4 + (sqrt(385)*-4 + sqrt(385))\/sqrt(11))\/(-2*sqrt(45) - (sqrt(245) + (sqrt(245) - sqrt(245)*4 - sqrt(245)))))**2.\nAnswer: 6727\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 1. Let b be n(7). Let t = b - 10. What is the least common multiple of t and -1 + 6\/(-1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 15, 5 = t + n - 0. Let p = 31 - 19. Factor -p + 12*f - 8*f + 5*f + 3*f**t.\nAnswer: 3*(f - 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4747 = -22*z + 555. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212199*(-94)\/(-538902) + -37.\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1320110 by 10.\nAnswer: 132011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3638\/387 - -3821527\/409446. What is the common denominator of l and 27\/10?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657251799.\nAnswer: 3, 59, 3713287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2458*f - 44339. Determine t(18).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/22)*(63\/14)\/(-3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6*-2*(-138)\/575.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((7832\/8690)\/(-89))\/((-8)\/10)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6032 divided by 26\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.941026064 to three dps.\nAnswer: -1.941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 13*s + 36. Determine x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*y - 25522*y**2 + 50995*y**2 - 25147*y**2 to the form s*y**2 + j*y + z and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 2*d - 4. Give q(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*-6)\/(-3)*2\/4. Let n = 44 - 48. Let r be 2\/(-72) - (-1)\/4. Sort n, g, r.\nAnswer: n, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -31481704464.06?\nAnswer: -31481704479.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2611 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12935152 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 3*l - 21 = 0, 0 = -2*n - 4*l + 2. Let g be (-303)\/33 + 4\/22. List the prime factors of (3\/(g\/146))\/(2\/n).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*k**2 - 170*k.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13783.84661 rounded to zero decimal places?\nAnswer: 13784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 + 7*z**5\/60 + z**4\/24 + 3*z**3\/2 + 5*z**2. What is the smallest common multiple of 18 and k(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, p: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:36 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176437*u = -176442*u - 40 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475733 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: What is the remainder when 3548104 is divided by 161277?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*f**2 + 198*f**2 - 14 + 14.\nAnswer: 282*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 3*n + 1, 0 = -134*a + 138*a - 3*n + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4908 = -m + j, 33*m + 9804 = 35*m + 2*j. What is the remainder when m is divided by 68?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*v - 4 = 0, 0 = 2*w - 2*v + 6*v - 4. Calculate the remainder when 88 is divided by -4 - 2\/(w + 2\/(-13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10197297799 - -0.3?\nAnswer: 10197297799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -4, -59, 1, 0.\nAnswer: -59, -4, 0, 1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296950?\nAnswer: 2, 5, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -818*y**3 + y**2 - 2*y - 8939 wrt y.\nAnswer: -2454*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2107065710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.76233l in millilitres?\nAnswer: 71762.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 359411426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3765*q**4 - 935*q**3 + 144*q**2 - 17621*q?\nAnswer: 90360*q - 5610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 3 (c) 1 (d) 7\/11 (e) 5 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -366\/5, -0.11, 45.3, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + r**3 + 2*r**3 - 1328*r - 118*r - 2*r**2.\nAnswer: r**3 - 2*r**2 - 1446*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115 - -14?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 - 292*w + 1 + 366*w - 74*w.\nAnswer: 5*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1963*f + 163. Let g be d(0). Sort 14, -3, g in descending order.\nAnswer: g, 14, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 785?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1075493*n**2*p - 15*n**2*w**2 - 11*p*w**3 + 7*w**3 - 46737*w wrt p.\nAnswer: 1075493*n**2 - 11*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -16. Find the common denominator of -4 + q\/(-44)*-118 and -27\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853938 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 15*a**4\/4 - 7*a**3\/3 + 67*a**2\/2 - 71. Let f(i) be the second derivative of b(i). Differentiate f(l) with respect to l.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 131 - 125 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 50\/3. Let m = 52 - 52.3. Put 12, h, m, 5 in descending order.\nAnswer: 12, 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2310.5 + -2310.4. What is the second smallest value in -45, -10, 4, o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -14 (b) 16 (c) 1\/6 (d) 0.4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from vqivkqqvvvqqvviqq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p + 1. Let z(w) = w**3 + 7*w**2 + 2*w - 16. Let j(d) = 2*o(d) + z(d). Calculate the smallest common multiple of 12 and j(7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11810203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14176 + -72.23176. Let u = -0.09 - v. Let b = 72.039 - u. Round b to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**3 - 5*s**2 - 4. Let l = -39 - -42. Suppose l*g + 0*g = -105. Let b = 37 + g. Let k(j) = -6*j**3 + 2*j**2 + 2. Determine b*a(z) + 5*k(z).\nAnswer: -4*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/20 - 162\/(-30). Suppose -33 = -j*c + 2*c. Solve 4*y - 4*g + c - 3 = 0, g = -4*y - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/9)\/(-10)*6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Suppose -60 = 7*x - 17*x. Let z(f) = -3*f**2 - 7 + 1 + f**2. Let n(y) = x*b(y) - 2*z(y). Find the first derivative of n(u) wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -17 + 20. Let a be -2*(i - (-12)\/(-4)). Solve 0 = 4*r - 2*r - a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*j**4 + 158040*j**3 - 19254532*j**2 - 4284640*j - 238144.\nAnswer: -4*(j - 244)**2*(9*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1075, 0.0659, -0.4, 0?\nAnswer: 0.0659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 13411.\nAnswer: 4\/13411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000064388848 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287973 is divided by 71986.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-2*sqrt(384)) + sqrt(500)\/(-4*sqrt(10)).\nAnswer: -21*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1719398 divided by -4?\nAnswer: 859699\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 3*d + 5*d - 5 - d. Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 73.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/7, -1728\/7, 0.5 in descending order.\nAnswer: 0.5, -1\/7, -0.5, -1728\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 8 + 4. What is the greatest common factor of g and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/13? (a) 1\/5 (b) -0.5 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2203875 or -0.2?\nAnswer: -2203875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94.04820125 + 135.948198. Let g = 41.9 - p. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.3. Let r = 452.0291 - 452. Let q = 0.3709 + r. Which is the nearest to q? (a) 3\/4 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1\/8 (c) 5\/124 (d) 0.1 (e) 0.34 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 155*b**3 + 9 - 3*b**2 - 7 + 158*b**3 to the form m*b**2 + i + a*b + z*b**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*g - 6, 27 = 5*h - g - 3. Is h\/21 - (-915)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123331030233 (base 4) to base 13\nAnswer: 1697934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wznsv. Give prob of picking 1 s, 2 w, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**4 - 25*o**4 + 6*o**4 + (3*o**4 - 5*o**4 + 3*o**4)*(-3 + 0 + 2).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 729 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 z, and 1 c when four letters picked without replacement from {l: 2, c: 1, z: 1, b: 1, y: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*723\/(-241)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 17 + -2 + -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143874\/5 + -28774. What is the closest to 0.09 in o, 0.3, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2245, 26, -5, 6 in descending order.\nAnswer: 26, 6, -1, -5, -2245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24975762?\nAnswer: 2, 3, 7, 59, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(3 - (-15)\/(-3)). Let g be (-1)\/((-2)\/(-3 - r)). Let w(d) = -6*d**3 + d**2 - 2*d + 1. What is w(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -320 (b) -2\/21 (c) -2\/15 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/21 + 4\/(48\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 3*m + 6. Let n be x(3). Suppose -8*b + n + 16 = 0. Differentiate -9 - 65*s**2 + b*s - 26 + 63*s**2 with respect to s.\nAnswer: -4*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c + 181 = 821 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 8) to base 3.\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**3 - 34*i**3 - 4*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -5, -85, -1\/7, -42?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and 3.07?\nAnswer: 119.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 21*u**2 - u + 67. Give j(21).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 2*d + 30. Let l = 0 - -8. What is the remainder when k(0) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10122?\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 61*f + 1\/48*f**4 - 1\/2*f**3 + 9\/2*f**2 + 0. What is t in w(t) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-160)\/(-24)))\/((-1)\/((-24)\/(-477))).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -27, -33, -39?\n\"Answer: -6*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1894)\/14 + (-16)\/(-56). Let c = s + 194. What are the prime factors of c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7324623 <= -7324619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2001 - (3 + 1 - 3). What is d rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2596579019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 22. Let x = 25 - r. List the prime factors of (-4)\/x - (-101)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g + 56*g = -63*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-2)\/3 + 1). Let z(x) = -x - 7. Let m be z(p). Differentiate -2 - m*s**3 - 3*s**3 + 3*s**3 with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148743 less than 0.4254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*r + 23 = 0, -2*j - 3*r = -0*r - 15. What is the tens digit of (0 + 933 - 6)*2\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 15807468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 14*f**2 + 4. Let u be m(14). Suppose 0 = 14*o - u*o - 1600. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 126 and 362 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19962 - 19856. Calculate the remainder when n is divided by (0 - 2*-23)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxffgxxg. Give prob of picking 2 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2. Suppose 14 = 11*r + 14. Let j(f) be the first derivative of r*f**2 + 0*f + 2\/3*f**3 + 4. Calculate j(i(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -1264396\nAnswer: 13908356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 16741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 = 5*b - 2*b, -2*x + 10 = -2*b. Let g = x + 0. Sort 0, g, 5 in ascending order.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -21*f**2 - 3128043*f + 8043678 = 0.\nAnswer: -148957, 18\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(8\/84). Let g = 111 - 108. Suppose 4*d + g*a = 32, a = -4*a. Is d less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a. Let b(u) = -11199*u. What is b(d(x))?\nAnswer: -111990*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -0.068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 316122617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 - 9*q**2\/4 + 3.\nAnswer: -3*(q - 1)*(q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - 348*l + 348*l.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 39 + 3 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -226, 6\/23, 2\/11, -0.43, 0.36?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and -6.7849.\nAnswer: -6.7949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400693 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o - 367952 = 169*o. Are o and -1512 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 - 1459*n - 155 - 160 + 1432*n.\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13755827 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: Suppose -5*h + 0*h - 300 = 0. Let b = 61 + h. What is the remainder when (-98)\/21*-3 - (b - 1) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 5*i + 4 + 2*i**2 + i**2. Suppose q - 47 = -5*p, -2*p - q = -4*q - 12. Suppose -2*d - 5*k = p, 10 - 1 = 4*d + k. Calculate s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 - -166. Let o = -23\/4 + r. Let w = 5.6 - 6. What is the second biggest value in -9, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303215?\nAnswer: 5, 11, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 102*c + 1394. What is g(0)?\nAnswer: 1394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110538421 and 9772?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m - 33713 = -5473 + 8964. Solve -n - 525 = -m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 3. Suppose -107*b + 102*b - 15 = 0. Let l(r) be the first derivative of r**2 + 8*r - 1. What is b*l(n) - 8*u(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + d = -14, -3*p - 4*d + 1 - 11 = 0. Calculate the lowest common multiple of -1*7\/((-14)\/12) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138138564271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822296291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 z when four letters picked without replacement from ztxtztuttk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.5, 0.7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-183)\/(-915))\/((-14)\/(-230))*(-2)\/((-50)\/35)\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(33)\/sqrt(396) + 3 + (5 + -1 + sqrt(3))**2 + sqrt(24)\/sqrt(8)*1.\nAnswer: 55*sqrt(3)\/6 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h - 18. Let k(g) = 714*g. Determine k(b(f)).\nAnswer: 10710*f - 12852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 17*a - 21*a + 10, -3*y - 7 = -5*a. Suppose h + 2 - 3 = 0. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2974708.8 microseconds?\nAnswer: 0.04957848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 3*u**2 + u**2 + 3 + (2*u - u + 0*u)*(-2*u - 2 + 2) + u**2 - 3 + 3 + u**2 + 2*u**2 - u**2 - 2*u**2 - u**2 + u**2.\nAnswer: -3*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-15)*((-38)\/(-760))\/((-2)\/(-12)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19271 + 19307. Solve 31*u = 2*t + p*u + 13, 2*u + 9 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/4, -0.7, -181 in ascending order.\nAnswer: -181, -4, -3\/4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12 = 4*g, 6*t + g = 11*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53115239 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-6) + 2\/4. Let z be 4\/d - (-48)\/(-28). Suppose 2*u + 4*o = -18, -u - 5*o + o - 19 = 0. Which is the biggest value? (a) 0.1 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 992*a**2 + 985*a**2 + 996*a**2 - 148*a**3 - 2965*a**2 - 6677*a wrt a.\nAnswer: -888*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240829.\nAnswer: 240829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1427 - 1431. Which is the nearest to -2? (a) -2\/3 (b) 0.1 (c) -12 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 72*s - 410.\nAnswer: 2*(s - 41)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/9 + 1114*p**4\/9 - 4*p**3\/9 - 2228*p**2\/9 + 2*p\/9 + 1114\/9 = 0. Calculate p.\nAnswer: -557, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.7 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*n**2 + 10*a*n - 306*a + 169637*n**2 with respect to a.\nAnswer: n**2 + 10*n - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 7440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - q**2 - 2. Let h be t(2). Suppose 18 = 5*c - h. Is c\/10 - 612\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 3128?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13477577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - r**2 + 3*r**2)*(4073*r**2 - 41*r - 1631*r**2 + 39*r).\nAnswer: -4884*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and -0.21.\nAnswer: -14.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = 5*d + 102, 0 = -2*d + 217*w - 215*w - 52 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4338 = 19*y - 18341. What is the highest common factor of y and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y + 62*y + 3825 = -107*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 2. Let n be y(-4). Let i(l) = 2*l**2 + 4*l + 4. What are the prime factors of i(n)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-144)\/12))\/((-105)\/28)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6378 - 0.3622. Let m = 0.9 - 1. Which is the closest to 0? (a) t (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = -30. Let c be (-6800004)\/d + 6\/(-15). Round c to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u - 55. Let h be r(-13). Let j be (h\/(-20))\/((-3)\/4). Let c be 20\/10*6\/4. Put j, -5, -4, c in descending order.\nAnswer: j, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594, -2398, -5406, -9618?\nAnswer: -15034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503, 501, 499, 497?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)*f*f**(-4\/5))\/(f**(-1\/3))**(-30) assuming f is positive.\nAnswer: f**(-407\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414, 436, 454, 468, 478, 484, 486?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (452140\/208)\/(5\/40)?\nAnswer: 2, 5, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 868656160.\nAnswer: 868656160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 708110.\nAnswer: 2124330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/110 + 5\/22. Let t(v) be the second derivative of 0*v**3 + 0*v**4 + 1\/2*v**2 + q*v**5 + 0 - 2*v. Differentiate t(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 6*v + 6. Calculate the least common multiple of 158 and h(-2).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 8*d**3\/3 - 8. Let z(a) = -a**2. Let s(w) = -w**2. Let x(t) = -3*s(t) + z(t). Give f(x(h)).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798.87 less than 0.5?\nAnswer: -1798.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101180*b*s - 152985*s wrt b.\nAnswer: -101180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 4*d + 5*d)*(2*d**2 + 2*d**3 - 2*d**2)*(-2*d + 2*d - 2*d)*(-3 - 3 + 1).\nAnswer: -100*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - s**2 + 4*s)*(3466 - 6523 + 3439) in the form i*s + c + h*s**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -166, -170, -174?\n\"Answer: -4*i - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13929 - 13929.149. Round y to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7997 and 90 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*u + 192 = 189*u. Solve 0 = 16*q - 32*q + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -25. Let r = -4 - -4.1. Does t = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 10:09 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose 2 = -3*r + g*x, -2 = -4*r - x - 1. Differentiate r*y**4 + 2*y**4 + y**4 + 3 + 4 with respect to y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1685412949 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -307, -747, -1353, -2119, -3039, -4107?\n\"Answer: p**3 - 92*p**2 + p + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 808 in 4\/7, 0, 0.5, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 783*m + 307*m + 3381*m + 2*m**2 + 2362 - 2363 as t*m**2 + k*m + v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -16 + 10 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 272*d**3 + 5*d**2 + 13*d - 159. Is g(5) 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 12:11 AM and 7:57 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*f = -3, 5*f + 18 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7775860387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -81510 + 85?\nAnswer: -81425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - v = -4, -4*v - 7 = o + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/11)\/h**(-7))\/((h\/h**(-1\/5))\/h*h**(2\/17)) assuming h is positive.\nAnswer: h**(5908\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (-63 + 130) - (-4 + -51)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*-2 + (sqrt(175) + 1)**2 + (5 + sqrt(28) + sqrt(112)\/sqrt(4))**2.\nAnswer: 28*sqrt(7) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 12:43 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + y. Let r(c) = -12*c**2 - 10*c. Let g(s) = -2*r(s) - 20*z(s). Let q(u) = u**2. Give q(g(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - ((-20)\/(-12))\/(-5). Suppose m = 3*h - 9, -h + 1 - 6 = -4*b. Let j(d) = d + 2. Calculate the smallest common multiple of j(8) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4071 rounded to 1 dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(3 + (-1*(sqrt(396) - (sqrt(396) + 0 + sqrt(396) - sqrt(396) - sqrt(396))) + sqrt(396))*3))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3752*z + 3753*z + 11 = -3*l, -l = -z + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -4.2. Let n = -0.044 + -0.256. Does n = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 10*m + 4. Let a be 150\/14 - (-10)\/35. Let c be s(a). Let z = -7 - c. Solve 4 = -z*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**3 - 8*g**3 + 4*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*u = 2*u + 14, 2*u = 6. Suppose 0*k - 2*k = -12. Solve 0 = 4*g - 3*r + 8, -k*g + m*g = -r + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**8\/6720 - h**7\/2520 + 43*h**4\/24 - h**3\/6 + 53*h**2. Let u(p) be the second derivative of l(p). What is z in u(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283195393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j + 7. Let b be r(2). Let i(c) = -32*c + 23. What is the units digit of i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d + 57. Let s be k(5). Let n(u) = -u**2 - 13*u + 2. Let v be n(s). Solve -6 = v*b + b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 3 (c) 5 (d) 8 (e) -0.4 (f) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*(0 + 1) - -2. Let r be a\/8*5\/15. Factor r*u + 0 + 2*u**4 + 3*u**3 + 2*u**2 + 1\/2*u**5.\nAnswer: u*(u + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -27*c - 29. Determine b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672*m**3 - 1373*m**3 - 207 + 210 + 703*m**3.\nAnswer: 2*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 0 (c) 3 (d) -40857 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15*p - 283497. Let r(o) = -o. Calculate r(f(g)).\nAnswer: -15*g + 283497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 + 2.1. Sort -0.3, 1, f.\nAnswer: f, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54600, -54593, -54578, -54555, -54524, -54485, -54438?\n\"Answer: 4*p**2 - 5*p - 54599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 637 = -14*q. Suppose 0 = -42*u + q*u - 18529. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36\/13, 2\/9, 0.02, 1, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 88, -8521, -2, -3 in increasing order.\nAnswer: -8521, -3, -2, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-2))\/((-9)\/12). Let i be ((-342)\/(-12))\/(r\/(-8)). Let s(k) = -k. Let b be s(-5). Solve 4*o - 15 = y, b*o = 5*y - 8 + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 0.662?\nAnswer: -12.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 231072*j**3 - 617491 wrt j.\nAnswer: 693216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 20*o**5 - 1275*o**4 + 20900*o**3 - 3375*o**2 - 463450*o - 115320 = 0?\nAnswer: -4, -1\/4, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20122?\nAnswer: -20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0 = 8. Let t = 26 + -30. Let v = -5.08 - -0.08. Which is the nearest to -2\/5? (a) n (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -38, -67413\/7, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7)*(-175)\/50. Let a be p\/3*-3*2\/(-4). Sort 5, -5, a, 4.\nAnswer: -5, a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {b: 9, c: 2, z: 8}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16136 + 2594 = 222*t for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71\/4 of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16*v - 429. Let o be n(27). Solve -5*m - 2*y - 1 = 0, -m + 4*y = -o*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 382520, 382522, 382524, 382526, 382528?\n\"Answer: 2*a + 382518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3 - 185024*x**2 - 2961552*x + 6663168 = 0?\nAnswer: -18, 2, 46272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -86*z**2 - 33*z - 6. Let w(m) = -86*m**2 - 32*m - 4. Let k(p) = -2*f(p) + 3*w(p). What is the second derivative of k(x) wrt x?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 95. Let c = n - -40.000166. What is c rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:44 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 5*w + 188. Let z(m) = 4*m**2 - 21*m + 751. Give 9*u(k) - 2*z(k).\nAnswer: k**2 - 3*k + 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 30 = -t - 5*k, 4*t - 5*k - 120 = 0. Suppose 715 = t*x - 25*x. What is the remainder when x is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + x + 3 = 32, -x = -4*z + 34. Suppose -1 = -2*n - z. Let j be (-38)\/(-8) - (-3)\/12. Put -1, j, n in descending order.\nAnswer: j, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51590 and 27805?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 - -70. Let y = -476 + n. Let g = -3 + 27. Is y not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 13) to base 11.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k - 48. Let p be u(13). Which is the closest to 4\/5? (a) 0.3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -316 and -0.115?\nAnswer: 36.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*o - 4*n, 2*n = 2*o - 2*n + 12. Let r(d) = -5*d. Let p be r(o). Suppose 3*y + p = 8*y. Solve 2*w - 3*g + y = 0, 5*w + 0 = -3*g + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 384 + -268. Let p = -114 + u. What is y in 1\/6*y**3 + 1\/6 + 1\/2*y + 1\/2*y**p = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 311746188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(1\/44)*((h**(-1\/7)*h*h)\/h)**(-38) assuming h is positive.\nAnswer: h**(-5009\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52486 or -79?\nAnswer: -52486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrm when three letters picked without replacement from mrmmmmmmmmmmlm.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27436042?\nAnswer: 2, 569, 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 1 - 2 - 5*o**2 + 3*o**2 - o**3. Suppose 5*j = -2*s - 20, -4*j + 2*s = -3*j - 8. Calculate b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5 + 264*j**4 + 306*j**3 - 3396*j**2 - 6639*j - 3204 = 0?\nAnswer: -3, -1, 4, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 614826274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 20*o**2 - 20*o + 5. Let a be h(19). Let g be (-17 - -20) + (a - (0 - 1)). Calculate the remainder when 1186\/10 + 5*g\/(-125) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)*w*w\/w**(-5)*(w*w\/w**1)**(-36))**(-32) assuming w is positive.\nAnswer: w**912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23397 + 96*w**2 + 23397)*(2*w - 3*w - w) + w - w + 8*w**3.\nAnswer: -184*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 + -26)*(-1)\/2 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*l = -14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 8*y**2 - 27*y + 15. Let c be v(6). Let j = c + 84. Suppose 0 = 5*q + 20 - 65. Calculate the highest common divisor of j and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + h + 0*h = 124, 0 = -3*h + 12. Let u = -24 + d. Calculate the least common multiple of u and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 8\/((-58)\/725*-25)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/17)\/(a**12*a) assuming a is positive.\nAnswer: a**(-218\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 15.5. What is the closest to 0.1 in b, -6, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 800\/60)*(-63)\/135?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60451 (base 7) in base 14?\nAnswer: -5498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*(m\/((m\/((m**(-2)*m)\/m*m))\/m)*m)\/m)\/m)*m\/(m\/m**(13\/2))*m*m)**(-3\/23) assuming m is positive.\nAnswer: m**(-57\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -76.59 and 3425?\nAnswer: 3501.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10108, 660, -2, 5 in descending order.\nAnswer: 660, 5, -1, -2, -10108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4075*l + 685693 = -6977*l - 198467 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-116)\/29 - ((0 - 0) + -5). Let r be -4*(-4 + 28\/8)*j. Suppose 4*t**r - 43*t**3 + 95*t**3 - 48*t**3 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34720, 69298, 103876, 138454, 173032, 207610?\n\"Answer: 34578*s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*c - 1 = 56, -3*b + 21*c - 95 = 37*c for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -3.012, -15 in decreasing order.\nAnswer: -3\/2, -3.012, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1082471032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6009, -6032, -6055, -6078, -6101?\nAnswer: -6124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(12)\/sqrt(6)*1 + sqrt(2))**2 + (sqrt(6) + sqrt(66)\/sqrt(11)*3)\/sqrt(3).\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2333 + 814. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-4*2\/(-144)). What are the prime factors of (p*1)\/2 - 4?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 443, 1578, 3843, 7628?\nAnswer: 13323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 657 and 25.185?\nAnswer: 16546.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/70 - 3*s**6\/40 + s**4\/2 + 3*s**2. Factor b(a).\nAnswer: -3*a*(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 9788*d\/7 - 29346\/7.\nAnswer: -2*(d - 4891)*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212421 or -212417?\nAnswer: -212417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17effe (base 16) in base 7?\nAnswer: -16222443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221560 and 290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(1216) + (sqrt(1216) + sqrt(1216) + 2)**2 + 0 - (-4 + sqrt(1216) + 2)))*-3.\nAnswer: -58428 - 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 547 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122510902.\nAnswer: 2, 61255451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 304 + 290. Calculate the highest common factor of 28 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124 - 48 - 27)*(-10*g + g - g)*((-3*g**2 + g**2 + g**2)*(1 + 1 + 0) + 5*g**2 - g**2 - 3*g**2).\nAnswer: 490*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12\/7)\/(k**(-1\/2)*k)*k**2\/k*k\/k**19 assuming k is positive.\nAnswer: k**(-269\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/12 + (-3)\/9. Let v(j) = -2*j**3 - 1. Let g be v(-1). Let t be (2 + (-1 - u))\/g. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Suppose 0 = 2*z - o*z. Solve 4 = s - 0, -j + s = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:31 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 511 = d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehjojeqqk. Give prob of sequence oq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 169, 390, 647, 922, 1197, 1454?\n\"Answer: -3*s**3 + 45*s**2 + 53*s - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 42 = -3*g - 9, 0 = -3*g + 5*u + 33. Solve g*r = 13*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:49 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 10. Suppose 4*q = k - 50. What is the tens digit of (-7 + 2)*134\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, 0.06, -403, 157.1, 0.3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 528384.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 744*o + 1 + 729*o)*(5 - 9 + 17).\nAnswer: -195*o - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -342995 (base 12) in base 4?\nAnswer: -3023230001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 4, e: 6, o: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1734265 (base 10) to base 13\nAnswer: -4894c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3602.954 tonnes?\nAnswer: 3602954000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68.74 + 69.74. Which is the nearest to u? (a) 0.3 (b) 1\/6 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13 = i, 0 = -2*i - g + 1 - 7. Sort 0.5, i, 5, 2.\nAnswer: i, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6622012 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581 - 2*l**4 + 6929*l + 80*l**3 - 657*l - 302*l**3 - 6048*l**2 - 581 = 0.\nAnswer: -56, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10465975 to the power of 1\/2, to the nearest integer?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z + 0 - z**2 + 0 + 2. Let x be l(8). Let o = x + 1. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**4 + 0*f**4 + 3*f**4)*(4 - 2 + 1)*(-11 + 0 - 4) to n*f + a*f**2 + q*f**3 + z*f**4 + l and give z.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2140*d. Let y(f) = 2*f. What is y(q(b))?\nAnswer: 4280*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3300)*-2 - sqrt(3300) - sqrt(3300))\/((sqrt(1100)*2 - sqrt(1100))*-5) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 2*o**2 - 2*o + 3. Let h(q) = -5*q**3 - 11*q**2 - 10*q + 15. Give -2*h(z) + 11*w(z).\nAnswer: -z**3 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -130. Let r = 71 + t. Let f(s) = -7*s**2 + 7*s + 7. Let o(c) = 13*c**2 - 13*c - 13. Give r*f(l) - 6*o(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9180\/(-7344))\/(-50*15\/48)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/449038 and 89\/562.\nAnswer: 449038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2, -6\/275?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 18. Let h = -1 + t. Suppose -4*d = -4*v, 5*v = d + 6*v - h. Solve -2*y + 12 = d*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 40113260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602470?\nAnswer: 2, 5, 37, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(9\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*2*sqrt(833) - (sqrt(153)\/(-1*sqrt(9)) + (sqrt(153)*2 - sqrt(153))))**2.\nAnswer: -440*sqrt(17) + 32937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -516*y**4 - 10685*y**3 - y**2 - 21459*y + 306.\nAnswer: -6192*y**2 - 64110*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 337, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 equal to -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxhppxpphxphh. Give prob of sequence hpxx.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59594 is divided by 1806?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*d + 8*d, l = 2*d + 4. Let k = -3 + l. Calculate the remainder when 17 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aawb when four letters picked without replacement from awbbwawbbbbbwbbabab?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(17) + (-1*sqrt(170))\/sqrt(10)) - ((-5*sqrt(68))**2 + 3)).\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 7*w - 12. What are the prime factors of (-4)\/w + (5 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 9)*(4*o - 2*o - 3*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i - 2. Suppose -5*k - 3 = 7. Calculate w(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396193*a**2 + 198698*a**2 + 197494*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20705383*a + 15960827?\nAnswer: 20705383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -169261*t**2. Let s(c) = c**2. Calculate s(j(h)).\nAnswer: 28649286121*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 + 20*a - 20. Let g be m(6). Let d = g - 88. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2175*w = -2215*w - 720 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000898858 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-946)\/6)\/(-11)*3 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1322.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*r**3 + 2*o**3*r**2 - 433*o**3*r*z + o**3 + 14*o*r**4 - 17*r**4*z + 13*r wrt r.\nAnswer: 6*o**3 + 336*o*r - 408*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 900 = -51*y + 195*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + 2*n**2)*(-2 + 4 + 0) + 9 - 95*n**2 + 90*n**2 - 2*n - 4 + (-30*n + 14*n + 13*n)*(-3 + 2*n + 3).\nAnswer: -7*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4860544 divided by -9568.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 142313914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Find the first derivative of -s + k - 4 + 3 wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and -0.135.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 77*u - 56. Let c(p) = 59*p - 3. Let i be c(1). Let v(a) = 4*a - 3. Let g(n) = i*v(n) - 3*j(n). Let w(y) = 8*y. Calculate g(w(r)).\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011010 (base 2) to base 6.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2670*o**5 - 111 + 24977076*o + 29 - 24977079*o wrt o.\nAnswer: -53400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -7 - 0 - (3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4693225, 4693229, 4693233?\nAnswer: 4693237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than -74804646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/5 + 86128*d\/5 - 463627024\/5.\nAnswer: -4*(d - 10766)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - (-26 + 51)) + (-7 + 64 - 10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -33894*v + 508412. Give b(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (8\/(-3))\/(2\/(-12)) and (-5)\/(-2)*(-8 + (-192)\/(-10))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/19)\/(f**(-6)\/f)*f**0*f**(1\/7))\/((((f*f**6)\/f*f)\/(f\/(f**1\/f)))\/(f**(2\/7))**(-1\/12)) assuming f is positive.\nAnswer: f**(809\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217781 (base 9) to base 3.\nAnswer: 2020121212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 times -55.3235?\nAnswer: 542.1703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14258627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27728 and 20.\nAnswer: 138640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 415*d + 412. Let u be h(4). Which is smaller: u or 6212\/3?\nAnswer: 6212\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-8*3\/(-2). Let d = -60 - -62. Let p = d + v. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.553 and 715.\nAnswer: 718.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13813512 and -0.015.\nAnswer: 207202.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.006 + -4. Let m = 714.994 + -714. Let b = q + m. Is b at least as big as 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1683 by 3.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4)**26\/(b*b*b\/b**(-7)*b*((b*b\/b**(-14)*b*b*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/131))**(5\/3)*(b**(-28)\/b*b)\/b**(-39))**(-9) assuming b is positive.\nAnswer: b**(-14964\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 + 9*a + 16. Let s be q(-5). Let z be 7\/(s\/(-9)) + -1. Let w(r) = 2*r**2 - 2*r - 1. Let v be w(-1). Sort 5, v, z.\nAnswer: z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 5*m**2 + 3*m**2)*(3 - 2 + 0)*(2 - 2 - m)*(4*m + 4 - 1 - 3*m) as g*m + c*m**2 + p + t*m**4 + q*m**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -2*r + 5*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - (-4)\/18. Let t = 0.0472 + 15.1528. Let q = t - 14.76. Sort q, 4, -1\/7, k in decreasing order.\nAnswer: 4, q, k, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 5*o + 8. Let p be y(-6). Suppose -2*b - 3*v + 1 = -1, 0 = -2*b + 3*v + p. Let f be 2\/3*12\/(-56). Do b and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/9415 and -107\/1480.\nAnswer: 2786840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 25*h**2 + 2*h - 53. What is c(25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4713078?\nAnswer: 2, 3, 53, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:23 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 9*w - 6*w - 2 = 0, -2*g = -5*w + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 55*n - 19. Let w be k(18). Let p be (1 - (0 + 1))\/(-2). Sort p, 4, -3, w.\nAnswer: w, -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36342.667144 less than 84.7?\nAnswer: -36257.967144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/2601 and -26\/14739?\nAnswer: 44217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -35. Let v = r + 25. Let i = 6 - v. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11116238374 and -1.161.\nAnswer: -11116238375.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, 227, 5, 434.\nAnswer: -4, 1, 3, 5, 227, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1161486 divided by -2826.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -915, -1267, -1617, -1965?\nAnswer: -2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/10*-1*-5. Let i be (p\/(-2))\/(1\/2). Let w be ((-6)\/i)\/((-2)\/(-8)). Solve -7 + w = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -241 + 59. Suppose -5 = h, -5*h = -3*r - 7*h + 2. Suppose -3*j - r*j = -v. Calculate the greatest common divisor of 91 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3129*i - 331*i + 2526 - 5053 + 2527.\nAnswer: 2798*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354.9272 - -0.8272. Let r = t - -408. Round r to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/15 + l**5\/5 - l**4\/6 - 2*l**3\/3 - 635*l. Solve u(c) = 0 for c.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 180*w + 1375.\nAnswer: 5*(w - 25)*(w - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2956 and 2348916?\nAnswer: 1735848924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 368 + -174. Calculate the remainder when u is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -8. Let v be (0 - 0) + 18\/l. Find the third derivative of 3*c**2 - v*c**4 + 5*c**4 + 6*c**4 - 7*c**2 wrt c.\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - -10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (209\/5)\/11 + 6\/4 and -59\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + 0 + 12 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o. Let r(m) = 2*m. Let c(n) = -2*p(n) + 6*r(n). Let z(w) = -25*w. What is z(c(g))?\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34871318 - -468.\nAnswer: -34870850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 14 - (-3 - 0) - -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 18507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 bigger than -2\/3007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/3808 and -33\/8840?\nAnswer: 247520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, e: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/(-5)*55\/22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13769988*f + 57 - 13769988*f + 31*f**2 to x*f**2 + h*f + y and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 5545651023*y + 5545651023*y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128992\/93 + -1387. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 + (-44)\/(-126). Let x(h) = h**3 - 9*h**2 - 16*h. Let k be x(11). Let g = 68 - k. Which is the smallest value? (a) g (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099*j - 5725 + 51124 = -10484 - 17750 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -8576) + 6\/(-9)*6?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 58. What is the common denominator of 125\/18 and 22\/11 - 14\/y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4280 - -7119. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-4\/7)*i))\/(i*i**(1\/4)\/i*i)*i**(-16)\/(i*i*i*i*i**(-34)) assuming i is positive.\nAnswer: i**(345\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(-6)\/2*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*j + 48 = 96*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 83. What is the third derivative of 11*g - 8*g**6 + v*g - 19*g**2 - 16*g wrt g?\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.61 - -2.31. Sort 5, 3\/2, 1\/4, l.\nAnswer: l, 1\/4, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 355\/(-156) + 2 - (-13)\/(-52). Let y = -5\/26 - m. Let n be 8\/6*2\/(-4). Which is the nearest to y? (a) 4 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6168 to 2 dps.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 5. Let j be a(-5). Suppose 2*q + 2*q = 5*k + 16, 2*k + q = 4. Suppose -1191*c + 195*c = -3984. Solve -c*r + j*r - 20 = k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-4 - -7))\/(8\/(-8) + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1035, -2055, -3073, -4089, -5103?\nAnswer: -6115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -105*-9*(-52)\/(-1170)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33700698 to the power of 1\/2, to the nearest integer?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74845571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 53.3. Let h = 0.4 + 0.1. Let q be 24\/(-35) + (-8)\/(-20). Put j, q, h in decreasing order.\nAnswer: h, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -9.2. Let i = 3.8 - q. Sort -0.5, -2, i in decreasing order.\nAnswer: i, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 3. Let b be f(0). Suppose -2*s + 579 = 5*d, -454 = -2*d - 2*d + b*s. Suppose 0*o + 5*o - d = -5*l, 5*o = 5*l + 75. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 3*y**2 + 4*y + 3. Let t(s) = -3*s**3 + 6*s**2 + 6*s + 4. Give -5*l(n) + 3*t(n).\nAnswer: n**3 + 3*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 502\/597 or 412?\nAnswer: 502\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32136874\/(-2013))\/(-622)*5*2\/22.\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - 15968\/(-160). Let b = -100 + x. Solve -a - w + 1 = b, 5*a + w = -2*w + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q. Suppose -15 = 5*s + r + 12, -3*r = -9. Let c = s - -10. Sort c, -3, q in descending order.\nAnswer: c, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-14) + 14\/(-49) + 4. Sort j, -7, -4, -2.\nAnswer: -7, -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 22725?\nAnswer: 159075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11468 - 11468.7. Put k, 3.6, -4 in decreasing order.\nAnswer: 3.6, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-17)\/k)\/(k\/(k\/k**(-23))))\/((k\/(k**(-2\/9)\/k))\/k**2) assuming k is positive.\nAnswer: k**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -240372.\nAnswer: 5\/240372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 7*k + 17, -83 = k + 2477*d - 2470*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780461 is divided by 97557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*h**2*j - 3792*h**2 - 202*h*j + 115*j + 177627 wrt h?\nAnswer: -24*h*j - 7584*h - 202*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534 = 65*g + 24*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1821 times -5\nAnswer: 9105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 718*(4 + 1003) + 0. Let m = -1423026 + h. What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 8 = 0, 0 = k - 126*z + 121*z + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*b + 45, -b - 8 = -3*b + 4*u. Suppose p = 12 - b. Solve -35 + 21*d - 30*d**3 + 6*d**p + 33*d**2 + 9*d + d**2 - 5*d**4 = 0 for d.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -34. Solve 0 + r = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 5*p**2 + 7 - 22*p - 70*p + 28*p.\nAnswer: -p**2 - 64*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 634699 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -107 and 0.5.\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*d + 1639 + 4363 - 378 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - 7*b**3\/3 - 3*b**2\/2 - 2*b - 36. What is o(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 2. Let o(g) = -2871 - 2873 - 13*g - 2868 + 8607. What is -6*o(f) - 14*s(f)?\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/73 in 4, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b**2 - 14. Let i(h) = -8*h**2 + 10. Let y(g) = -7*i(g) - 5*s(g). Let t(l) = 73*l**2. Determine y(t(f)).\nAnswer: 5329*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 3, 2\/5, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbbbrbzr. What is prob of sequence rbq?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 1, y: 3, b: 1}. What is prob of picking 1 r and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 8) to base 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223189890 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 57*j - 215. Calculate w(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/x**9*x**(-1\/4)*((x\/x**(-1)*x)\/x)**(-2\/41) assuming x is positive.\nAnswer: x**(-1041\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -19*p**5\/20 - p**3\/6 - p**2\/2 + 3*p - 2. Let l(h) be the first derivative of k(h). Is l(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - b**2 - b**2 - b**2 - 3 + 3 + (2*b + b - b)*(3 - 3 + 2*b) + b**2 + b - b + b**2 - 4*b**2 + b**2 + 2*b + 4 + 0 - 2 + b**2.\nAnswer: 4*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 4*b**2 + 0*b**2 + (11*b - 35*b + 22*b - 3)*(2*b - 16 + 18 + 0*b).\nAnswer: -3*b**2 - 10*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 101. Suppose 36 = -2*y + 4*z, w = -2*y + 2*z + 14. Let q = y + 54. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 4600 (c) -5 (d) 91 (e) -3\/5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j - 850912 + 851497 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-6)\/((-10)\/5). Let h = -3 - -1. Let m = 5 + h. Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 2. Let f = y - -8. Let n be 25 - 5 - (2 - f). Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 185\/6*z**2 + 256 - 5\/9*z**3 + 0*z. Factor s(u).\nAnswer: -5*u*(u - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p. Suppose 22*i - 42*i + 1400 = 30*i. Let o(t) be the third derivative of 1\/12*t**4 + 0*t + 0*t**3 - i*t**2 + 0. Determine o(m(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4766, 9473, 14098, 18599, 22934?\nAnswer: 27061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250.9733 - -0.0267. Let d = y - 252.09. Round d to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43752048 - 43752048 - 16489*m to t*m + w and give t.\nAnswer: -16489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 31. Let v be 228\/(-60) + 4 + (-48)\/(-10). Let o(i) = -6*i + 94. What is v*o(m) - 16*p(m)?\nAnswer: 2*m - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.126489677 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 0.98 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 659, 683, 713, 749, 791?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 98\/3. Let a = -24.033 + 0.033. Let q = -22 - a. What is the closest to f in q, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 702, 697, 692?\n\"Answer: -5*n + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.4240256 - -47.29.\nAnswer: 73.7140256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 57 - 13 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 8. Let o be u(7). Let t = o - 35. Suppose 3*j = -4*w + 25, 5*j - 2*w + 7*w = 35. Solve -t = -4*g, m - j*g + 23 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2. Let u(j) = 2327*j**2 + j + 152. What is u(a(o))?\nAnswer: 9308*o**4 + 2*o**2 + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -15.26552.\nAnswer: 7.26552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 11) to base 16\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (824 - 845) + 62 + 1 + 7?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h - 7. Calculate d(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*r = 5, -4*d - 3*r = r - 40. Suppose 27 = 4*p + 3*c, 5*p - 2*c - 2 = p. What is the greatest common factor of d and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 38*d**2 + 11*d - 51. What is the units digit of u(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (39060\/168 - 137)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681031 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 656 and 6929?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -210, -327, -450, -579, -714?\n\"Answer: -3*m**2 - 102*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/9*(2\/2)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = 5*v - 13, 0 = 2*v + 3*k - 11. Suppose 56 = v*h + 72. Let z(b) = -6*b. Calculate z(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 12. Let a be (-3 + 2\/2)*-5. Let r be c(a). Suppose 0 = 3*i + 3*u - 60, 0*u - 65 = -3*i - r*u. Solve -i = -5*w, w - 25 = -2*n - 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/22)\/((5\/(10\/(-2)))\/2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -72812000 to the nearest one hundred thousand.\nAnswer: -72800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 - 611. Let f = -355 - j. Which is the fourth biggest value? (a) 4\/5 (b) 6\/73 (c) f (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.824973148 rounded to one decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -776 * -644.\nAnswer: 499744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3884*s**2 - 3884*s**2 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -93*k + 131*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -293.\nAnswer: -644.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 3*y + 26. Let l be t(-7). Let a = 26 + -7. Let i be 2*5\/10*(a + l). Is 18 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82\/5 + 179\/10. Let j = -0.4 - -0.9. Let v = 330 + -2314\/7. Which is the biggest value? (a) v (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2161790096 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/r**(4\/5)*r*r)\/r)*r**(-5)*r**4*r\/r**(1\/3) assuming r is positive.\nAnswer: r**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806699?\nAnswer: 3, 602233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/5, 4, -1\/3 in decreasing order.\nAnswer: 4, 1, 1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 12*k**2 - k + 15. Let o be j(12). Let l be 6*((-14)\/7)\/(1*-4). Factor 498*h**3 + h - 5*h**2 - 497*h**l + o*h.\nAnswer: h*(h - 4)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33702023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:04 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*q - 112 = 0, i - 22*q = -17*q + 27. Put 0, i, -5 in decreasing order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 746.39 + -1064.094. Let l = 317 + s. What is l rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*a + 148*a + 5459 - 4283 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69611066 is divided by 1406.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let o be 2\/(k + 1)*-2. Let g(w) = 3*w - 4. Let j(y) = 6*y - 16. Let m(a) = -7*a + 19. Let q(n) = 6*j(n) + 5*m(n). What is o*g(h) + 4*q(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485*q + 248*q - 1035 = -252*q. Let x(b) = b**3 + 5*b**2 - 5*b - 2. Let a be x(-6). Let g = 23 + a. What is the remainder when q is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76285 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/25 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6701600 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -3*q**4\/8 - 19*q**3\/3 + q**2 - 2*q + 823. Let w(l) = 2*l. Calculate w(v(t)).\nAnswer: -18*t - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(34)*4)\/(-2*(sqrt(8) + sqrt(2)) + sqrt(100)\/sqrt(2))*-5 + -4.\nAnswer: -4 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 3, c: 5, h: 1, e: 1, z: 1}. Give prob of sequence zgs.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 126\/10 - 8\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 8:20 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/990 and -151\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 131*g + 68*g + 63*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/7 + 635*p**3\/7 - 101754*p**2\/7 + 42976*p - 199712\/7 = 0?\nAnswer: 1, 2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14913, 14911, 14909, 14907, 14905, 14903?\n\"Answer: -2*h + 14915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ed8 (base 16) to base 13.\nAnswer: -11a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437694?\nAnswer: 2, 3, 13, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttg when three letters picked without replacement from ntnnnrngntrntnnntnn.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 177 and 0.00334.\nAnswer: 177.00334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 167, 5, -10, 12\/7, -4 in decreasing order.\nAnswer: 167, 5, 12\/7, -2, -4, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9318888, -4, -15, -0.5, 0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 2637934284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5\/4 - 399*l**4\/4 + 7347*l**3\/4 - 32529*l**2\/4 - 3675*l\/2 + 8232 = 0. Calculate l.\nAnswer: -1, 1, 7, 14, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 176629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -14. Let m(n) = n. Let x(g) be the first derivative of 3*g**2\/2 - g + 6. Determine s*x(y) + 5*m(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**4\/24 - v**3\/6 - 6*v**2. Let n be y(2). Let g(o) = 36*o - 1. Is g(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = t - 71. Calculate the highest common divisor of 63 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 2 - -3) + (50 - (-12 + (29 - 0))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c*c\/c**(6\/7))\/c)*(c*(c\/((c**7\/c)\/c))\/c*c)\/c)**(-2\/5) assuming c is positive.\nAnswer: c**(44\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.09, -1, 5, -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 109. Let j = n + -249\/5. What is the third biggest value in -4\/3, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - q = -3*q + 464, -u + 4*q + 134 = 0. Suppose 4*a - 490 = b, a + b = -b + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 27.8. Let m = -0.04 + -0.08. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let d(q) = 1113 - 1113 + 6*q**2. What is d(s(x))?\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 448, 926, 1404?\n\"Answer: 478*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 291*s - 7. Let m(w) = 1575*w. Determine m(y(j)).\nAnswer: 458325*j - 11025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/2 + 885*o**4 - 387124*o**3 - 4006808*o**2 + 20644440*o - 22178800 = 0. Calculate o.\nAnswer: -14, 2, 890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvyvakcc. Give prob of picking 2 c, 1 a, and 1 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/3877, -4, 5, 1, 6 in decreasing order.\nAnswer: 6, 5, 1, -1\/3877, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 641332117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 4*q**2 - 10*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 60 = 34*l + 46, 5*l + 11 = -5*b - 13 - 81 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 304*i + 379*i)*((-i + 4*i - 2*i)*(0 - 1 + 3) + 7*i + 4*i - 4*i) as x*i**2 + g + k*i and give x.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/14*10\/((-60)\/(-21)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5793?\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1074, -355, -2746, -6099, -10414, -15691, -21930?\n\"Answer: -481*l**2 + 14*l + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -48*m**3 - m**2 - 3*m - 1. Let j(g) = -144*g**3 - 3*g**2 - 11*g - 3. What is -2*j(z) + 7*q(z)?\nAnswer: -48*z**3 - z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 2*s**2 - 3. Let y = 20 - 18. Let m be o(y). Suppose z - m*n + 128 = 4*z, -56 = -z + n. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 + 1271702*r**3 + 3*r**2 - 3815108*r + 2543404 = 0. What is r?\nAnswer: -2, 1, 1271702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50301 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 700817561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/4*3)\/(126\/(-336)). Suppose h*s + 27 = 5*b, -3*s - 8 = -3*b + 2*b. What is the remainder when 8 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 397?\nAnswer: 11.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c - 827 + 2605 = -165*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)*h**0*h*(h**(2\/7))**(6\/19) assuming h is positive.\nAnswer: h**(-520\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87838, 87821, 87796, 87763?\nAnswer: 87722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 51198804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7723993 and 295461?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-42))\/((-6)\/252).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d + 17 + 17 - 3*d**2 - 54 + 18 as z + t*d**2 + a*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286423 is divided by 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 525, 4, -1759 in increasing order.\nAnswer: -1759, 4, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*o + 10 = 0, 5*l + 9*o - 4*o + 15 = 0. Let z be -1*(0 - 1)*-1. Let p be (2 + 2 + 0)*z. What is the closest to l in 2\/17, p, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/10 - 3) + 410229\/45. Let g = i - 145775\/16. Find the common denominator of g and ((-8)\/16)\/((-8)\/15).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.0495.\nAnswer: 0.1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:08 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 4 + 1 + 5*a**3 + 24*a - 50*a + 21*a.\nAnswer: 5*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -155. Solve c = b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12042202 is divided by 926316.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 8:26 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*t = -2*t - 58, -221*i - 5*t + 6*t - 8 = -226*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)*9\/6. Let q be (1 + x\/(-3))\/(-1). Solve 5*j - 6*j - 5 = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x + 8, 0 = -2*w - 5*x - 118. Let j = -69 - w. Let t(v) = -v**3 - 4*v**2 + 4*v + 2. Determine t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7281577 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619169553.\nAnswer: 3, 5987, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1866 and 135?\nAnswer: 83970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*f - 115687, 0 = 349*h - 344*h + 2*f - 289261. List the prime factors of h.\nAnswer: 17, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 + 316*q**3\/3 + 957*q**2 + 2880*q + 5769\/2.\nAnswer: -(q - 641)*(q + 3)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162540691.\nAnswer: 109, 1491199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-64))\/(-17 - 54839\/(-3224))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20255417*u**3 - 274905*u**2 + 25*u.\nAnswer: 121532502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebxbeweiweeewiwexx. What is prob of picking 2 x and 1 b?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 0*v**2 + 362*v - 730*v + 39*v**3 - 9 + 369*v to y*v**2 + d*v**3 + r + g*v and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10595, 42389, 95385, 169583?\nAnswer: 264983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -16. Let a(l) = l**2 + 2*l + 2. Let y be a(m). Find the second derivative of -i**3 + 5*i**2 - i**3 - 5*i**y + 2*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 17419 = 4*m, -23*m = -27*m - 2*j + 17426. Calculate the highest common divisor of 33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45892949 to the nearest integer?\nAnswer: 6774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*i + 7 - 3, -2*w = -8. Suppose -i*d = -17 + 3. Suppose q = -0*q + 11. What is the smallest common multiple of d and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k**(5\/7))\/k)\/k)*k**5*k)\/((k\/(k*k**(1\/2)*k*k))\/k**(-3\/11)) assuming k is positive.\nAnswer: k**(1465\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48355316 by 3.\nAnswer: -48355316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, 24 in ascending order.\nAnswer: -1, 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 772*w**2 - 9554*w + 3489. What is n(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (12 - 12) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*k**2 + 243 + 18*k.\nAnswer: (k + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/(-23))\/(-17) + 1068446\/46 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.6 and 9110.\nAnswer: -87456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42490, 129911, 217318, 304705, 392066, 479395, 566686, 653933?\nAnswer: 741130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141442*h**4*m - 719*h**3*m**2 - 4*h**2*m + h**2 + 2*h + 3813*m**2 + m wrt h?\nAnswer: 3394608*h*m - 4314*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 9*p - 3. Let c(u) = u**2. Suppose 53*a = 49*a - 4. Let b(z) = a*n(z) - 3*c(z). Determine b(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010100110 (base 2) in base 3?\nAnswer: 212101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4798?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/13, 0.6, 15\/8, 8\/25, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6668379667?\nAnswer: 1399, 4766533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 41 = -0*l + 4*l, -x = 5*l - 65. Let i(c) = -c**2 - 3*c + 4. Let g be i(-5). Let q = l + g. What is the lowest common multiple of 2 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*w - 17 = -3, -3*d = -3*w + 15. Is ((-2945)\/10)\/(d\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8555*w - 13819*w + 22374*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5814.7519 + 5815. What is r rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*152\/570)\/(3\/9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*x = -1104*x - 1929*x - 1432*x - 132057 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 2*v**2 + 0*v**2 + (29*v + 44*v + 16*v)*(-v - 4*v - v).\nAnswer: -533*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 58*i**2 - 458*i + 2910. Calculate p(50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 + 12*n + 6. Let t be i(6). Let p be (21 - -3)*t\/9*2. Find the common denominator of 57\/22 and ((-1460)\/p)\/5 - 2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 >= 4181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/12 + 21*o**2. Let h(y) = 5*y**2. Calculate q(h(l)).\nAnswer: 125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -0.1. Let q = 6 - 17. Let l = -12 - q. Which is the second smallest value? (a) o (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13946156 is divided by 4648701?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/1134 - (-5 + (-32608)\/(-5616)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -8.667, 5\/2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 2\/7 (b) -1.2 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 14769.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154, -1109, -3652, -8575, -16670, -28729, -45544?\n\"Answer: -132*k**3 - 2*k**2 - 25*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 172772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 3, z: 4, f: 11}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 2. Let b(m) = m. Let g(t) = 5*b(t) + p(t). Let d be g(-13). Suppose -d = 3*q + 2*w, -3*q - 13 = -w + 11. Is q not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 89. Let m = g - 43.07. What is the third biggest value in m, -0.5, 0.3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/3*(-2032)\/(-69088))\/(12\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 6 = 4*v - b*f, -5*f = 2*v - v - 13. Suppose -5*x - 2*w + 14 = 0, -5*x = -w - 20 - 3. Sort x, -2, v in descending order.\nAnswer: x, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 7*s**4\/4 + 23*s**3 + s**2\/2 + 10445*s + 10756. Differentiate y(w) wrt w.\nAnswer: 21*w**2 + 138*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98033434 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/12)*b**(12\/7)\/b)**(-1\/49) assuming b is positive.\nAnswer: b**(-67\/4116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f - 3. Determine x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29623*d**4 + 57025*d**2 wrt d.\nAnswer: 710952*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 4*u, -3 = t - u. Let s = -7 + t. Is s\/22*4*-71 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/9 - 6*o**3 + 5798*o**2\/9 + 6*o - 644 = 0. Calculate o.\nAnswer: -69, -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*159762)\/1*(-8 + 329\/42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 2. Let g be (-2)\/y + 26\/5. Find the third derivative of 2*n**5 + 4*n**2 + 6*n**5 + 2*n**2 - 2*n**g wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2969.9 - 2970. What is the smallest value in 13\/7, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*r - 27. Solve 0 = 4*f - q + 20, q + 8 = f + r*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 11. Which is the second smallest value? (a) 0.4 (b) s (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -219020 in decreasing order.\nAnswer: -1, -3, -219020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 4*s**2 + 6*s + 2. Suppose 10 = 3*y + 5*a, 2*y = -5*a + 5 - 0. Let u be q(y). Solve 4*b - 9 = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1782*t + 569430 = 1839*t. Is 54 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 f and 1 d when two letters picked without replacement from {f: 4, q: 2, d: 8}?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + -11)*(111\/(-2) + -1). What is the second derivative of 0 - v*m**3 + 147*m**2 + 131*m + 0 - 147*m**2 wrt m?\nAnswer: -678*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (17 - 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210675 or 210674?\nAnswer: 210675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)*h)**(-13\/4))**(5\/3) assuming h is positive.\nAnswer: h**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9340, -2088, -1 in increasing order.\nAnswer: -2088, -1, 9340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -26*p + 446, 84 = 4*p + 98*j - 102*j for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53850 in 0.3, -1\/2, 1\/5, -0.2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (-1 + 3) - (10 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 34*t - 8. Let r(n) = -6*n**2 + 69*n - 18. Let b(d) = -4*r(d) + 9*u(d). Let k be b(10). Solve -2*q - 5 - 3 = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i + 42 = 83*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - d + 1. Let q be m(1). Suppose r - q*r = 2*w - 15, 5*r = -3*w + 40. Let h = 0 - -3. Which is the closest to -1\/3? (a) 0.2 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103234 (base 5) to base 14.\nAnswer: 142d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224000 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 104*b - 1. Let s(r) = r**2 - 419*r + 4. Determine -9*j(f) - 2*s(f).\nAnswer: -2*f**2 - 98*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a - 33. Let d(o) be the third derivative of o**4\/3 - 17*o**3\/6 + 20*o**2. Let c(m) = 5*d(m) - 2*t(m). What is the derivative of c(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let p be -1 + y - (-6)\/(-4). Let a(r) = r**2 + 2*r - 14. Let w be a(3). What is the nearest to 1 in w, 3, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -66*j - 1. Let p be n(-2). Suppose 39 = 5*v - p. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9361325 - -1911325. Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/320 + 17147\/2880. What is the common denominator of q and 2 + (3 - 38\/12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 17*l - 20. Let y be p(19). Let g = 55 - y. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.028 + -35.4715. Round o to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2. Let x(z) be the third derivative of 0*z - 3*z**2 + 0*z**4 + 0*z**3 - 11\/60*z**5 + 0. Determine x(m(k)).\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/(18\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 10. Let i be o(6). Let k = i - -4. Suppose -2*u - 4 + 28 = k. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17946782 is divided by 4827?\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180154, -180092, -180012, -179908, -179774, -179604, -179392, -179132?\nAnswer: -178818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let i(x) = -3*x + 1. Let s be 1\/(-2) - 2\/4. Let j(r) = s*i(r) - u(r). Let w(o) = o**2. Give w(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-5)\/50). Suppose -k = -2*b - 3*b. Let n = -70 - -70. Solve -a - a + b*o = -19, -2*a + 5*o + 25 = n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 474745\/23 - 20641. Which is the second smallest value? (a) y (b) 1.2 (c) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*x - 112, 17*m + 576 = x + 78 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -21) + 9 + -33 + (-2 - (0 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 22. Suppose 52 - 42 = s*y. Suppose -2*x + 3*x - 4*l = 23, -y*l + 182 = 4*x. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 1\/(-5) - (-306)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 774\/(-39) - 2\/13. Suppose 5*d + 5 = -2*i, -2*i + 6*i = 3*d - 23. Let u be i*-2*8\/m. Put 3, u, 5 in ascending order.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30274071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -899221937396 and -2.5?\nAnswer: 899221937393.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115803 and 2700?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 816*l**2 - 44060*l - 125. What is t(54)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 83*d**6\/60 + d**5\/15 + 9281*d**3\/6 - 707*d**2 + d - 1. What is the first derivative of v(f) wrt f?\nAnswer: 498*f**2 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101043 + 5?\nAnswer: -101034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*o - 182. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 4, i: 1, q: 3, e: 1, w: 2}. Give prob of sequence qui.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2400) - sqrt(264)\/sqrt(275))\/(4*(-4*sqrt(1152)*2 + sqrt(1152))).\nAnswer: 17*sqrt(3)\/560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -18*o + 110. Let z(a) = -5*a. Give -l(b) + 3*z(b).\nAnswer: 3*b - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -34893 to the nearest one hundred.\nAnswer: -34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-3) - (-4)\/6. Let g = 0.9897 + 0.0103. What is the nearest to g in m, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58260 is divided by 116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let c(r) be the first derivative of -5\/3*r**3 + 3\/2*r**2 + 2 + 1\/4*r**4 - 7*r. Determine c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98532*g**4 - 99430 wrt g.\nAnswer: 394128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 + 19*u**2 + 25*u**2 - 35*u**2.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 388\/280 - (2\/10 + (-2052)\/3420).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8) + (sqrt(64)*2 + sqrt(64))\/sqrt(8))*1.\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*a - 8, -8599*a - 5*d + 55 = -8603*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.10416349 + -0.1042. What is d rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Suppose 3*c = 4*y + 46, -4*c - 5*y + 17 + 3 = 0. Let r be c\/(-3)*30\/(-4). Let n(j) = -10*j**2 + r - 25. Give n(h(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-14))\/((576\/(-30))\/8).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 593725544 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10054862*z + 6867186?\nAnswer: -10054862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 5. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.301 to 0 dps.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36623 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -482 - -488. Let q(i) = -4*i + 9. Let a(v) = 9*v - 19. Calculate b*a(t) + 13*q(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**6\/2 + 2661*l**5\/35 + 4467*l**4\/28 - 1387*l**3\/7 - 2244*l**2\/7 + 1500*l\/7 - 2633. Determine a so that s(a) = 0.\nAnswer: -125, -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8910 and 3960?\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 7*g - 2. Let v be m(-7). Let w = 4 + v. Suppose d = 3, -3*l - w*l = -2*d - 89. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/11 - 1888*m**3\/11 - 441546*m**2\/11 - 1311452*m\/11 - 871792\/11 = 0.\nAnswer: -529, -412, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-8)\/256)\/(-4*(-44)\/64)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 9110159170.799?\nAnswer: -9110159170.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 11*u**2 - 10*u. Let l be t(-10). Suppose l = -2*h + 5*h. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 + 67*k**2 - 4*k**3 - 63*k**2 + 12*k**3 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 - 2 = 0. Let y be (3 + -2)\/((-11)\/(-209)). Suppose k + y = 14. Put k, m, 5 in ascending order.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292444 is divided by 138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, f: 2, p: 1, z: 7, o: 5}. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -2, 8, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 411 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ddac (base 16) in base 11?\nAnswer: 396aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(((-320)\/(-24))\/2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n - 46. Let v be u(5). Suppose -36 = -4*k - 4*l, -4*l + v*l = -k + 29. Put k, -5, 20 in ascending order.\nAnswer: -5, k, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 4*f + 14. What is the tens digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - 10 - -1) - 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/6)\/3*24\/(-2). Solve -9 = -3*l - l - t, 0 = 3*l + 5*t + z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18041 and 26.9.\nAnswer: -4.853029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110000110011111101 - 100?\nAnswer: -101110000110100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379627222 to the nearest integer?\nAnswer: 19484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/60 + 158*t**2. Let r(w) = -7*w - 13. Calculate r(q(s)).\nAnswer: -7*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*s = -154, 0*f + 8*f + 449783 = -s + 449845 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3361601*h*l - 2*h + 1142784 wrt l?\nAnswer: -3361601*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1128*m**4 - 2506*m**3 + 29*m**2 + 1009409*m wrt m.\nAnswer: 27072*m - 15036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 6*l - 236. List the prime factors of l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 plus -0.05?\nAnswer: 3133.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + 1\/(-2). Suppose -5*v + 2*l + 276 = 0, -3*v = -5*l - 88 - 89. Suppose 60 = -v*n + 66*n. Which is the closest to 1\/3? (a) 2\/11 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2574, 10227, 22984, 40845, 63810, 91879, 125052?\nAnswer: 163329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -117?\nAnswer: 6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*c*g**2 + 36*a**3*c + 7*a**3*g**2 - 41*a**2*c*g + 11*a*g**2 + c wrt a?\nAnswer: 12*c*g**2 + 216*c + 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -8\/368183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 186. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 25*t + 151. What is the remainder when n(28) is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -94*m**2. Let b(v) = -8*v**2. Calculate b(z(u)).\nAnswer: -70688*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/12 + 4*x**3\/3 + x**2 + 7*x. Let v be g(8). Put 10, 3, v in ascending order.\nAnswer: v, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -1\/5 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + c - 84 = -3*c, -3*c = 12. Let z = m + 30. Let u = z + -7. What is the least common multiple of 5 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4605 divided by 307\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 16813*o - 1560. Let w be d(-5). Round w to the nearest 1000.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-40 + (107 - 54)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 9:59 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -25, -49, -73, -91, -97?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + 5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 86495 = -t, -4*z - 3*t = -t - 86490. Is 173 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/15)\/((-2)\/12). Let r be (-52)\/(-78) + 1 + 8\/(-3). Which is the third smallest value? (a) d (b) 4\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(2) - (sqrt(242) - (sqrt(242) + (2 + sqrt(242) + sqrt(242))**2)))).\nAnswer: -4855 - 445*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*z + 25, 0*z = -5*y - 5*z + 35 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 470 + -356. Sort 0.1, -2\/3, z, 5.\nAnswer: -2\/3, 0.1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28468*b**2*l**2 + 915*b**2*x + 24*b*l**2*x + 7*b*l**2 + b*x + 5*b - 626*l*x - 2*l wrt b?\nAnswer: -56936*l**2 + 1830*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48239 or 48233?\nAnswer: 48239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.17476047.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*p**2 - 14*p**3 + 188*p**2.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 8*n**2 - 4*n - 4. Let g be h(7). Let z = g + -15. Suppose 4*a + 2*y - 24 = 0, 3*y - 13 = -a - y. Sort z, 4, a in increasing order.\nAnswer: z, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317619 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -11. Suppose -a = -3*c + 3. Suppose 120000 = o + c*o. What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from rihgrrhgrrndndhhr.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9550 and 1\/18?\nAnswer: 85950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*(306\/48 + (-48)\/128).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 91*(1 + -2)*-1. Let y = s + -53. Let v be (4 - 1)\/(-1) + 22\/1. Calculate the highest common factor of v and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*d = d - 53, d - 83 = -5*j. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7853 and -3.4.\nAnswer: 6.07002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1568532 divided by -6\nAnswer: -261422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 17098452 = -s - 27121547, -2*n - 5*s - 17687995 = 0. Round n to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c*c**(1\/4)\/c*(c\/(c\/(c*c*c**(3\/2))))\/(c*c*(c*c*c**(-3\/2))\/c))**(-1))**(-1\/5) assuming c is positive.\nAnswer: c**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (12 + (-2 - (0 - -4)) + -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let z be m(-1). Let v(p) be the second derivative of 0 - p - 1\/2*p**z - 4\/3*p**3. Give v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 15*p + 52. Let f be r(11). Suppose -4 = -f*b + 60. Let o(m) = -m**2 + 8*m + 10. Determine o(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, b: 1, o: 2, i: 4}. What is prob of picking 1 i, 1 k, and 1 o?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/159 and 49\/529068?\nAnswer: 28040604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**4\/6 - 13*b**2. Let n(l) = -3*l. Let c(s) = -7*n(s) + 5*v(s). Let i(u) = -24*u - 1. Determine c(i(x)).\nAnswer: -24*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 6*l**2 + 3*l**2. Let h(p) = -p**2 + 871*p - 871*p. Give i(h(j)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - b. Let v(x) = x**3 + 2*x**2 - 2*x. Let o(r) = -v(r) - w(r). Let f = -5 - -2. Is o(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swp when three letters picked without replacement from {w: 6, s: 2, p: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 29. Let b(g) be the third derivative of -g**5\/60 - g**4\/12 - g**2. Determine b(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/40)\/(7\/12)*(-1876)\/402.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m*p**2*t - 4*m*t**3 - 14*m*t**2 + 8*p**2*t**6 + 2*p**2*t**2 wrt t.\nAnswer: -24*m + 960*p**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 33*q**2 - 141*q + 3692. Determine j(-39).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058999 is divided by 6701?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75455116 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 28481798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(40\/(-8) + 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -93*g. Let v(p) = 15*p - 3. Give v(c(w)).\nAnswer: -1395*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 + -214. Solve 3*d - 4*h - 15 = -h, 0 = -4*d + 3*h + g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g + 5*g + 3*g + 5*g**2 to x + k*g + v*g**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 3920*z**2 - 33445*z + 1108250.\nAnswer: -5*(z - 13)*(z + 22)*(z + 775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.6, 0.4, -4\/3, 1\/5 in descending order.\nAnswer: 8.6, 0.4, 1\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*g + g**4 + 30*g - g**2 - 90*g - 90*g**3 wrt g.\nAnswer: 24*g - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Suppose 2*r - 167 = -f*o - 528, 5*o + r = -604. Let z = o + 126. Let m(g) = -g**2 + 3*g + 6. Determine m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 760c68?\nAnswer: 760c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose -11 = -p*i + 2*c - 7*c, 0 = 2*i - 4*c - 2. Let o(h) = 2*h + 2. Calculate the remainder when 23 is divided by o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in -2, 0, 0.5, -2.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 784 + -730. Suppose 0 = -3*h + 2*a + a + f, 5*h = -5*a + 110. What is the least common multiple of 84 and h?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -64. Let j be (1\/(-2))\/(1*v\/(-24)). Suppose t + 0 = j. Solve -b + 15 = 2*b - t*l, 0 = 2*b - l - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 3*n + 12. Let s be z(5). What is the nearest to 1\/2 in 5, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 8*k**2 - 7*k**2 + k**2. Let r(u) = -u + 1. Let h be r(-6). Let z(d) = -d + h*d + 2*d. Give z(a(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5024000 rounded to the nearest one hundred thousand?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 4*w + 4*w)*(w**3 - 6*w**3 - 9*w**3) + w**4 + 108 + 10*w - w**2 + 2*w**3 - 108 as q*w**4 + u*w + r*w**3 + o + c*w**2 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 10*m**2 - m - 6. Let p be g(-10). Suppose -3*x + 5*x = -4, -5*x = p*f + 2. Do f and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1668 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46.3 - 45.3. Let w = -0.051 + 0.361. Let r = 5.69 + w. Sort -0.2, f, 4, r in descending order.\nAnswer: r, 4, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = h - 3*a, 70 = 4*h - 0*h + 3*a. Let p = -29 + 11. What is the remainder when h is divided by 2\/(-4) + (-63)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/4*(-1 - 3). Let d be (-1)\/((9\/x)\/3). Suppose 3*c + 2*u - 23 = 10, 0 = -c + d*u - 6. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170809 is divided by 128?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2. Let u(h) be the first derivative of -4\/3*h**3 + 8 + 0*h + 0*h**2. What is a(u(z))?\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s + 5*n - 3, -2*s - n + 6 = 0. Suppose 4*w = -s*x + 56, 4*x - 4*w - 63 = x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 2*q**2 - 4*q**2 + (3*q**2 + 4*q**2 - 5*q**2)*(-22 + 10 + 15) in the form v*q + h*q**2 + i and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**0*c*c*c**(-3\/10)\/c assuming c is positive.\nAnswer: c**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**3 - 5*l**2 + 57*l - 7. Let y(w) = 5*w**3 + 3*w**2 - 28*w + 4. Give -3*o(m) - 5*y(m).\nAnswer: -m**3 - 31*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/6 - (-5)\/(-30). Let i(w) = w - 2. Let o be i(f). Which is the closest to -2? (a) 2 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6309 + 261.0691. Round v to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1044406540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r. Suppose r*q = q. Suppose q = 5*z, 5*v - 381 = 2*v - 3*z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2516997*o - 2970740 wrt o.\nAnswer: 2516997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 45*r - 19*r - 376 + r + 27*r. Let p be b(9). Calculate the greatest common divisor of p and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630067 is divided by 81.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -14. Let q = 16 - f. Let n = 10 - q. Solve z = -3*z + n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -33*k + 89. Calculate z(-27).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30075 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54 (b) 20 (c) -142\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799 and 20727940.\nAnswer: 352374980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = v - 3, -4*v + 22 = 5*s. Suppose -4*h - 36 = -3*c, -c - 3*h = s*c - 15. Sort -4\/3, 3, c.\nAnswer: -4\/3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378387 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(14) + -6*sqrt(126))\/sqrt(2) + -6*(sqrt(112) + -3)).\nAnswer: -246*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b2 (base 14) to base 8.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 19*n + 39. Let g be d(17). Suppose g*k - 10*k - 605 = 0. Let m = -41 - k. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 276, 297, 338, 405, 504, 641?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-49)\/(-28)*(-20)\/(-210).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 + 4*q**3\/5 + 6*q**2 - 32*q\/5 + 8\/5 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3990 and -55\/38.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112069867\/3 or -37356623?\nAnswer: -112069867\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 4*r**2 - 3*r**2 + 3*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-6)\/9) + 1 + (-6618225)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 25000.\nAnswer: -13\/12500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 4*q + q + 9*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 293, 617, 941, 1265?\n\"Answer: 324*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 14*j - 5. Let h be a(-10). Suppose -21 = -4*n - 229. Let v = h - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 23 + 27 - g**2 + 3*g. Let v be (0 + (-10)\/6)*(-45)\/(-15). Calculate u(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, j: 5, y: 4, l: 2, e: 2}. What is prob of picking 2 z?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 318*n**3*z**3 - 268671*n**3 - 2*n**2*z**3 - 45*n**2*z + 2*n**2 + n*z**3 + 25550*z wrt n?\nAnswer: 1908*z**3 - 1612026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4478068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r)\/(r\/(r**(-1\/8)\/r))*r\/(r*r**(3\/2))*r*r\/(r\/(r**4*r)*r*r*r)*(r**(-2\/9))**32*r*r\/(r**(-6)\/r)*r*r\/r**(3\/2)*r assuming r is positive.\nAnswer: r**(-305\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80508535 is divided by 268.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**3 - 7*o**2 - 53*o - 45. Is h(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 + 9*y**2 + 5 - 2 - 3*y + 3*y**2. Is 22 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4540259 = -4540336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 749*q**2 - 111*q**2 + 104*q**2 - 124*q**2 + 940*q**2 to the form w*q + s*q**2 + f and give s.\nAnswer: 1558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1319461.29 - 1319467.48000291. Let a = 6.19 + d. Round a to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.135 * -4\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2127*y - 1297. List the prime factors of l(-11).\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*t = 15, 0 = k + t - 0*t - 35. Solve 7*z + 3 - k = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 5*n - 4. Let j be d(6). Suppose z - j*m = -0*z + 8, -33 = -5*z + 3*m. Calculate the highest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*978 + 4\/(8 - 4). Let o = 17555\/6 - z. Find the common denominator of o and 47\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -61. Suppose d*v - 39 = -11. Suppose -3*x - 32 = -v*w + 12, -x - 38 = -3*w. Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, -2, 5, 3, 4.\nAnswer: -2, 3, 4, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -910304738680716127\/27352620 + 17971392214249\/540. Let n = h + 126\/50653. Let y = n + -6981. Find the common denominator of -107\/6 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 289. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t\/t**(32\/5))\/t*t*t\/((t\/t**(2\/5)*t)\/t) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t + 3. Let u be z(-1). Let j(x) = 15*x - 21. Let c be j(u). What is the highest common divisor of c and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.152 + 4579\nAnswer: 4578.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, b: 3}. What is prob of picking 4 n?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 7*u - 10. Let y = 51 + -45. Let n be 4\/2*(0 + 6)\/y. Solve -2*b + 6 = -4*p, 6 = -u*p + b + n*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/9)\/(3 + (-32)\/12). Put q, -2, 1\/5 in increasing order.\nAnswer: -2, q, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - -14. Suppose 2*y + h = 530. List the prime factors of y.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125512 and 78445?\nAnswer: 627560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52902571 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.80566 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(8\/7)*f)\/f)\/f**(1\/8)*((f**8\/f)\/f)\/f**(-3\/2) assuming f is positive.\nAnswer: f**(477\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 451.8502ml?\nAnswer: 0.4518502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (472\/32)\/((-106)\/(-4)) and 1 - 7 - 219\/(-36)?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51080*c - 51096*c + 224 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5841854*d**2 - 5841734*d**2 + 2*d - 2*d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-482826\nAnswer: 241413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-3)\/(9\/1059). Let q = -196 - r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 154.889.\nAnswer: 142.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933*g = 948*g + 75. Let d(t) be the first derivative of -t**2 - 2 + 2*t - 6*t + 3*t. Let o(b) = 3*b + 1. Determine g*d(i) - 4*o(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2260)\/(-100) - 20) + (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = -1. Suppose 5*r = 5*p - 40, -5*p + 22 = b*r + 3. Suppose 0 = u - p*u + 40. What is the lowest common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(304)*2*5 + 3 - ((-3 + sqrt(2736) + 1 - (2 + -1*sqrt(2736) - sqrt(2736))) + 0))**2.\nAnswer: -1624*sqrt(19) + 255713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8985 and 344240508.\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -2.6. Let z = 2.5 - m. Suppose -13 = -5*n - 2*i, -n = 5*i + 3 - 1. Which is the biggest value? (a) z (b) n (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3052000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143836772 is divided by 677.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 26*o - 50*o + 13412832 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 989621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.03438.\nAnswer: -0.10314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -130. Suppose x*d + 28570 = 26*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8848*q**2*x + q*x - 100*q - 1 wrt q?\nAnswer: -17696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43540956*u**4 - 56604292?\nAnswer: 174163824*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101200 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 38, 57, 84, 119, 162, 213?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4 - 13*a**3 - 3*a**2 = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:41 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-12)*r*r*r)\/r*r*r**(2\/17)\/r*(r\/(r*r**(-2)*r))\/r**1)**(3\/23) assuming r is positive.\nAnswer: r**(-504\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248071 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3318?\nAnswer: 3318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*n + 1295, -5*n - 3*z - 1650 + 347 = 0. Let f = -2895\/11 - n. Which is the closest to 0? (a) -0.06 (b) f (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -7\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:01 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151 - 2?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 28*y. Let s be u(-2). Let h be (-16)\/s + (-26)\/(-56). Is h greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/17)\/(z*z**(-1\/2)))\/((z\/(z*(z**3*z)\/z))\/z**(-6\/11)))**(-30) assuming z is positive.\nAnswer: z**(-11625\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -1 + (-7 - (-18 - -12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -189, -3935, -14807, -36369, -72185?\n\"Answer: -594*k**3 + k**2 + 409*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -34*a**5\/7 + 174*a**4\/7 - 32*a**3 + 24*a**2\/7 = 0.\nAnswer: 0, 2\/17, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14\/3)\/(w**20\/w) assuming w is positive.\nAnswer: w**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -200, -295, -386, -473?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -22 - (-4 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 1\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -31. Suppose 2*i - 88 + 90 = x. What is the second biggest value in i, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.800112245 rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1035, 2110, 3185, 4260, 5335, 6410?\n\"Answer: 1075*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -400 - -13579?\nAnswer: 13179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(7) + -2 + sqrt(448).\nAnswer: -7 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 4. What is the least common multiple of y(-6) and (-3)\/(-2) - 99\/(-6)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 5:26 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) - (-1040)\/25. Suppose 21 + 96 = v + 2*v. Is b less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 - -0.32. What is the nearest to 1 in 2, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*t = -24, -4*t = g - 2*g + 18. Suppose -j = -5*j + 20. What is the second derivative of m - g*m - m**j - 2*m**5 wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110950343?\nAnswer: 7, 15850049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 3420711.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r - 14*r - 13*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f - 4. Let t(c) = -5*c + 2. Let i(r) = -6*j(r) - 11*t(r). Let n be i(2). Suppose -3*o + 83 = -n*g, 4*o - 31 = 3*o + 2*g. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v - 51*v + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o. Let u(q) = 84*q. Let i(b) = -21*p(b) - u(b). Let j(s) = 15*s**2 + 5. Determine i(j(d)).\nAnswer: -315*d**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210714*z - 105364*z - 105347*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*q + 17*q - 3933 + 2553 = -109*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-123800)\/(-49 + 39) + (10 - 1)?\nAnswer: 13, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548 times -0.1?\nAnswer: 254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515099.\nAnswer: 3, 505033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 - 2935*w**3 + 573300*w**2 - 37071440*w - 37647680 = 0. Calculate w.\nAnswer: -1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l + 130. Let o(v) = 39*v + 262. Let p(x) = 9*c(x) - 4*o(x). Let r be p(-17). Round r to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + ((-290)\/16 - (-42)\/336)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -33. Let q = u - -21. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142023313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1060 and 10616059?\nAnswer: 212321180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 378673 or 378660?\nAnswer: 378673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12302032110 (base 4) to base 11\nAnswer: 1005301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 8.6, 5, -0.2, 2\/15, -4\/5 in descending order.\nAnswer: 8.6, 5, 2\/15, -0.2, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 339628785 to the power of 1\/2, to the nearest integer?\nAnswer: 18429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -80758 divided by 6?\nAnswer: -40379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6873, -54685, -184339, -436755, -852853, -1473553, -2339775, -3492439?\n\"Answer: -6820*b**3 - b**2 - 69*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*b**3 - 151*b**3 - 2 - 11*b**2 - 4*b**4 in the form s*b**3 + c*b**4 + p*b**2 + r + x*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/7 + 13218*o**2\/7 + 39640*o\/7 + 26424\/7 = 0. What is o?\nAnswer: -6606, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32\/15 (b) 1 (c) -5 (d) 3 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1341 + 1343. Put s, 0, 5, -16 in decreasing order.\nAnswer: 5, s, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 344676 or 344722?\nAnswer: 344722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**3 + 15*u**2 - 8*u + 15. Let y(w) = -8*w**3 - 13*w**2 + 8*w - 13. Let m(d) = -3*c(d) - 4*y(d). Calculate m(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 4*r + 7. Calculate j(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 1851, 6454, 15413, 30180, 52207, 82946?\nAnswer: 123849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 + 43*c + 8. Let l be p(-6). Let n = l - -184. Calculate the highest common factor of n and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636587 - 1.41238?\nAnswer: -636588.41238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2136\/48)\/(-2 - (-7)\/4). Let j = n + 339. List the prime factors of j.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {a: 2, z: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586403.8km to nanometers.\nAnswer: 586403800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/2 of a day?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 - 5*v - 5. Let q(j) = -5*j**2 + 4*j + 4. Give 4*q(p) + 3*x(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10625094.\nAnswer: 2, 3, 65587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35311 - 1?\nAnswer: -35312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0*k**2 + 0 - 3 + 2*k**2).\nAnswer: 4*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4160*v + 6762*v + 5496*v + 4*v + 3*v - 5*v + (-1 + 1 - 2*v)*(1 + 0 - 2) + 2*v - 4*v + 4*v.\nAnswer: 16424*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 + 712\/5. Which is the second smallest value? (a) p (b) 2\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1434*z = 709*z + 525*z - 5600 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -44*x**3 + 4*x**2 + 5*x. Suppose -2*m + 14*m = -36. What is the units digit of a(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((5\/(-15))\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.119 (b) 4\/3 (c) 2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*f + 3*r = 107*f + 2736494, 3*r = f - 547306. Round f to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11251*d**2 + 5*d - 4. Let w be o(4). Round w to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4153 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10855674 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/(v*v**(-3)*v*v)*v)\/v)**(-3\/37) assuming v is positive.\nAnswer: v**(-9\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(20)\/sqrt(10)))**2 + sqrt(11) + sqrt(110)\/(sqrt(10) + sqrt(30)\/sqrt(3)).\nAnswer: 3*sqrt(11)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -k - 77, 192 - 518 = 4*k + 2*h. Let t = k + 188. Suppose -t = 17*b - 22*b. What is the remainder when 145 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-20) - 3168\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htlllylhyhllhlthhthu. What is prob of sequence tutl?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 12 = 0. Suppose -7 + 1 = -3*f + n*r, 0 = -f + r + 1. What is the least common multiple of (3\/(-6)*4)\/f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:29 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59137?\nAnswer: 13, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13222333 + 0?\nAnswer: -13222333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:21 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 11*j**2 - 17*j + 220. Give i(11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**5 - 8292*w**3 - 638425*w wrt w.\nAnswer: -80*w**3 - 49752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.817 take away -1519.47?\nAnswer: 1601.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -6, -0.4, -13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p + 14 = 0. Suppose -1 = 2*j + p. Let a = 1 - j. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284*d**3*g*i + d**3*g + 7875*d*g*i - 2*i wrt d?\nAnswer: 1704*d*g*i + 6*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 + -129.06. Let a = v + 0.06. Let s = a + -3. Put 4, 2, s in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttz. What is prob of sequence tz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18190041?\nAnswer: 3, 6063347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -508\/5 + 102. Which is the second smallest value? (a) 2 (b) 9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -58*a + 115. Let r be w(2). Let z be (0\/10)\/(2 - r). Solve 2*g + 4 = -z*g + o, 0 = 3*g - 4*o + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-21) + 12\/(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 62.68. Let t = -4.32 - n. Sort -3, 2\/19, t, 1\/5 in descending order.\nAnswer: 1\/5, 2\/19, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 60*k - 1 + 42*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6)**(46\/3))**(-2\/15) assuming y is positive.\nAnswer: y**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8695\/1068 + 49\/178. Suppose -n + 0*n = 67. Find the common denominator of v and n\/(-5)*5\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -6, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -6789.\nAnswer: -6788.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6615 divided by 7\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 763014491 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**3 - 3*s**3 - 5*s**3 + 2*s - 4*s**3 to x*s**3 + h*s + c + m*s**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggh when three letters picked without replacement from {g: 12, h: 7}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -625 less than -624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 2.55, -170581?\nAnswer: 2.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from ffnfsfnfnfsn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38981587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -10*j - 35, 36*j + 4*q = 34*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d + 36 = 28*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**2 + 13*l**2 + 7*l**2 + 8*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q. Let j(g) be the third derivative of g**4\/4 - 27*g**2. What is j(x(c))?\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 15*o**3 + 12*o - 12*o + 11*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 23 = -123. Let g = -48 + u. Solve 3*d = -3*j + 12, -2*j - 4 = g*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 23 + 25 = 0. What is the remainder when 22 is divided by j\/(-9)*9\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggl when four letters picked without replacement from {g: 5, l: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993) + sqrt(3993)*2 + sqrt(3993))\/(sqrt(192) + (sqrt(192) + sqrt(192)*2 - sqrt(192))).\nAnswer: 11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 228 + -227.09. What is j rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - p + 48 - 64 = 0, 4*j - 2*p - 24 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 15 + 47. Let i(k) = 5*k**3 + 8*k**2 - 6*k - 6. Let r be i(p). Is (-10 - 2)\/4*r\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x**(-4))\/(x**2)**(-29)*(x*x**(-1\/3))**29*x\/(x\/(x*x**(1\/6)))*x\/(((x\/x**0)\/x)\/x) assuming x is positive.\nAnswer: x**(157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 - 2 - 0). Is -3\/4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a millimeter in micrometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 84, -15*l = -10*l + 3*f - 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, d: 2, z: 1}. Give prob of picking 1 d and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 3*l**3 - 2*l**2 - 28 + 2*l + 3*l**2 to x*l + f*l**3 + i + k*l**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*d + 3, -448623*b + 448626*b = -2*d - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 158 - 2 = 2*h, 5*h = 2*p - 85. Suppose j - 5*r = 45, 4*j + 4*r + 17 = 101. What is the least common multiple of p and j?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4842253510 to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/7 - 236*k**3\/21 - 416*k**2\/7 + 2640*k\/7 - 4825. Factor q(u).\nAnswer: -4*(u - 2)*(u + 6)*(u + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -27. Let g be (3 - -6 - (0 - -2)) + -5. Suppose 5*h - 5*l - 15 = 0, 0*h - 5*l + 5 = 5*h. Solve -h*p = -3*m, -4*m + u*m = -g*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 395 + -134. Calculate the highest common divisor of 29 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18648375*c**4 - 16601235*c**3 + 196438542*c**2\/5 - 20752308*c\/5 + 561816\/5 = 0.\nAnswer: -2, 306\/5575, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbrmymkbmkgy. What is prob of sequence mk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51558 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 33*o + 219. Let u be r(-34). Calculate the highest common factor of 55 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 - 110*t**2 - 103*t - 2810. Give x(-22).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 - 682554*y**4 + 245*y + 2506.\nAnswer: -20*y**3 - 8190648*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 149, 165, 137, 59, -75, -271?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 3, 5*c = s + 443 - 429 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*l = 3, -3*q = 3*l - 8*l - 19. Sort q, 6, -5, 5 in ascending order.\nAnswer: -5, q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9128.328 to the nearest 10.\nAnswer: -9130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**4 - 23*r**4 + 47*r**4 + (4*r**2 - 4*r**2 + r**2)*(2*r**2 + r**2 - 5*r**2) + r**4 - 2*r**4 - 3*r**4 + 3*r**4 - 5*r**4 + r**4.\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1836\/((-7)\/(-77)*2) - (11 - 17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238255 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26bda - -4?\nAnswer: 26bde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57219?\nAnswer: 3, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 536784736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -120. What is the lowest common multiple of 9 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36741252\/475 - -77350. Let k be 1\/5 + 6\/(-5). Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/8 (b) 10\/87 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 80*i**2 + 624*i + 17. Determine b(-7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - (-484)\/(-72) - 3 and (-266)\/72 - 47\/94.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*p + 163 = 0, -2*n - 2*p + 175 = 3*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31979 and 3113.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g - 21. What is the highest common factor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 0.1, 0.5, 0.4, -3\/5 in descending order.\nAnswer: 0.5, 0.4, 0.31, 0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8812 or -276?\nAnswer: 8812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = d - 3*c + 3, 0 = c. Suppose -205 = -9*y - 169. What is the least common multiple of d and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45.77448 - -0.13.\nAnswer: 45.90448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90386?\nAnswer: 2, 43, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/4 - 1. Suppose 11 = 3*k - 5*s, 119*k + 8 = 121*k - 4*s. Factor -1\/2*d**k + 0 - 1\/4*d**3 - r*d.\nAnswer: -d*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12906.75946 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/15 + 3*d**4\/8 + 23*d**2. Find the second derivative of v(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 16.87. Let q = -206 + 206.1292. Let j = q - o. What is j rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (474 - 465 - (-1 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 333 = -298 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 + 18*j + 36. Let r be w(-5). Let b(s) = -2*s**3 - 358 + s**3 - 5*s**2 - 7*s + 353. Calculate b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 2c9038?\nAnswer: -2c9037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 542982.\nAnswer: 1628946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:21 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4051, 28522, 94971, 224386, 437755?\nAnswer: 756066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125350883.\nAnswer: 7, 53, 337873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most 5745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 18*n = 14274. Calculate the highest common divisor of n and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 9}. Give prob of picking 3 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 8*u - 10. What is z(-10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 8*b**2 - 6*b - 5. Let y be l(7). Let i(g) = -19*g + 3. Let w be i(y). Calculate the remainder when (-1635)\/w - 4\/(-14) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 4*a**5\/15 + a**4\/12 + a**3\/6 - 4*a**2 - 4*a. Let m(y) be the first derivative of o(y). What are the prime factors of m(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8*6\/(-15)*-1. Let o = -0.5 + 0.9. Which is the closest to -2\/7? (a) o (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1013102?\nAnswer: 1013032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097817.\nAnswer: 17, 123401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19620 is divided by 19588?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5 - 43. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 161*n**2 + n + 1. Suppose 4*j + 0 - 4 = 0. Is z(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 47 = 49. What is the remainder when 1 + q + 2*5\/10 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10*1*27166\/235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose -11*q = -o*q + 8. Let b(s) = -78*s + 2. Let a be b(q). Calculate the greatest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4779767 divided by 89?\nAnswer: -4779767\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -1\/6*j**3 - 1\/42*j**7 + 0*j**2 + 3*j + 2\/15*j**6 - 3\/10*j**5 + 0 + 1\/3*j**4. Solve o(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m, 506*m - 5549 = -3*l + 508*m. Calculate the highest common divisor of l and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 5. Let w(u) = -u**2 - 5. Suppose -3*q + 2*m = -14, q - 18 = -4*q - 2*m. Give q*w(g) + 3*d(g).\nAnswer: 2*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**2 - 29*h**2 + 7*h**2 + 9*h**2. Let r(g) = -20*g. Calculate r(v(c)).\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-6)\/12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((-32)\/(-144) - -523*2\/72)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from kbkknkkebkkeekn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -v + 134, -30 = 4*n - 2*v - 158. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 42*q**2 - 20*q**2 + 3*q**2 - 32*q + 11. Let l(x) = -100*x**2 + 129*x - 45. Let y(h) = 9*b(h) + 2*l(h). Let y(i) = 0. Calculate i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2552*o**5 - 5*o**4 - 6*o - 836. Let q(k) = 1276*k**5 + 2*k**4 + 2*k + 415. Let t(z) = -2*g(z) - 5*q(z). Find the second derivative of t(p) wrt p.\nAnswer: -25520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + c - 2*c + 0 + (-3 + 3 + 2)*((4 - 3 + 1)*(-3*c + 0*c - c) - 224*c + 26*c + 7*c).\nAnswer: -399*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 39 - 117. Suppose p + p - z = 0. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39711 by -61.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1, 5, 2, -174 in ascending order.\nAnswer: -174, -1, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 3*y**2 + y**2)*(-4*y**2 - 4*y**2 + y**2) + (0*y**3 + 3*y**3 - 5*y**3)*(-2*y + 1 - 1) + 9*y**4 - 8*y**4 + 9*y**4.\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((36\/16)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -0*m - 4*m. Calculate the remainder when m is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2966 or 2552?\nAnswer: 2552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9659 + -26649183\/2759. Let r be (-824953)\/16554 - (-1)\/3. Let q = r - l. Calculate the common denominator of q and -56\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/54*6\/40?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4848\/4444)\/((-6)\/33) + -3 + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a**2 - 18*a**2 + 280*a - 261*a to i*a**2 + y + f*a and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 21\/234683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 1, z: 1, e: 11}. Give prob of picking 1 e and 1 f.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/2 - 108\/9. Let u(f) = f**3 + 10*f**2 + 10*f + 12. Let a be u(y). Determine d so that -4*d**2 - 15*d**3 - 5*d**2 + d + d + 19*d**a = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/54378896 and 61\/20392086.\nAnswer: 163136688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -148, -223, -298, -373?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmmmml. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -50*a - 243*a**2 - 19*a + 69*a. Let y(v) = v**2. Calculate y(p(r)).\nAnswer: 59049*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16, -f = -5*w + 2 - 31. List the prime factors of (-132)\/w + 8\/(-20).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:56 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-20)\/12 - -2). Is (-2)\/(-9) + 14763\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -q + 16, -15 = 2*q - 3*f. Suppose 2*t + t + 192 = q. Let i = t - -101. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*j = 270, -2*w = 2*j + 3*j - 270. Round w to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8430\/(-210))\/((-12)\/(-14)). Suppose -4*c - 94 = -6*c. Let p = c + d. Sort 0.3, p, 5 in increasing order.\nAnswer: p, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t - 66. What is the units digit of q(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*u**3 + 261*u**3 - 1011*u**3 + 258*u**3 + 258*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2)*(3*n**2 - 1 + 1) - 3*n**4 - n**4 + 3*n**4.\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - z**2 + 3*z**2 + (-z + 4*z - z)*(z + 12 - 12) + z**2 - 2*z**2 - 1 - 4.\nAnswer: 2*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 1020.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 669*f**2 - 7. Let l(p) = -54628*p. Determine r(l(n)).\nAnswer: 1996442098896*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 2\/9, 1\/11, -0.06?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 4, i: 5, a: 3}. Give prob of sequence ioov.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:52 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3744174 is divided by 197061.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -3. Let z be ((-1)\/2)\/(-1) + 169554\/44. Suppose -j*o + 113*o - z = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 3. Factor 4*a - j*a**2 - 6*a + 3*a**4 - 5*a**4 - 6*a**3.\nAnswer: -2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -27*t + 21. Let v be o(-9). Let l = 6023\/240 - 368\/15. Calculate the common denominator of l and (-818)\/v + (-1)\/(-6) + 5.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325445432 (base 7) to base 4\nAnswer: -1022303032310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 57875.\nAnswer: 57875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 43 = -31 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*d + 213486 = 1762371. Calculate the highest common divisor of d and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23951183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 62.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787 + 3233 - 786 - 789 - 6*w**3 - 871 - 2*w.\nAnswer: -6*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/587 + -23491\/6457. Let q(j) = 11*j - 1. Let l be q(-1). What is the common denominator of 3\/6 + 62\/l and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 45*v + 88. Let l be r(14). Let z = -534 + 948. Calculate the greatest common divisor of z and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 3 + 6 + 15*l - 4.\nAnswer: 22*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*d + 9, -l + 3*d = -2*l + 9. Suppose -w + 2 = l, -4*w = -2*z + w - 2. Solve z = -t - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -360\/659?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3 - 1780*c**2 - 17600*c = 0.\nAnswer: -880, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(186\/(-1860)) - 14\/(-2 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 24*b**2 - 8721*b - 23057. Determine j(366).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1519284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965 (base 14) to base 12.\nAnswer: 10a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let g be l(2). Suppose -4*c + 211 = 3*q, -3*q + 246 = -0*q - g*c. Calculate the remainder when q is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**2 - 1971*u - 610. Calculate s(-164).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 632867 and -34584759.\nAnswer: -33951892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1563 + 2608. Is v a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58274, -58290, -58306, -58322, -58338?\n\"Answer: -16*i - 58258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 = -5*m - 557. Let p be 33*-2*(-1)\/2. Let s = m - p. What is the biggest value in -5, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Let s be 1\/(-5)*(4\/(-100))\/((-30)\/18750). Put 1\/3, s, f, -2 in descending order.\nAnswer: f, 1\/3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101055 - 64235. What are the prime factors of v?\nAnswer: 2, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 23\/2, -10, 1, 1\/5, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/(-483) + 9 + 3762\/(-414)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/144492?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -2 - 0) + 101 + 21 + -23?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let v(x) = 2*x - 7. Let r be (42\/(-210))\/((-4)\/20). Give r*v(t) + 5*k(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12384 divided by 129.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 1)*-1 + -7. What are the prime factors of -2 + 212 + (-4 - (-2 - q))?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 2*q**4\/3 - 5*q**3\/6 + 2*q**2 + 5*q. List the prime factors of p(2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -4. Let c be (p\/(-12))\/(3\/12). Solve 0 = 2*h - w - 2, w + 6 = c*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 + -13?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:29 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6281\/2 + -3140. Let r(y) be the first derivative of 10\/3*y**3 + 19 + z*y**2 + 0*y. What is r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**5*m))**(-1\/43))**19)**(-2\/43) assuming m is positive.\nAnswer: m**(-190\/1849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*s = 2, 0 = 4*g - 5*g + 4*s - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 332, 355, 264, -13, -548?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -8 - (11 - (-3 + -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31942 = p - 109940. Suppose -2*r - p = -2*a + 3*a, -a + 195002 = -5*r. Round r to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m - 9*m - 19*m - 1 in the form u*m + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 810239263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*w - 13 = 0, 5*w - 1 + 12 = -2*q. Let i(s) be the first derivative of -1 + 0*s + 1\/2*s**q. Let f(g) = -g**2. Give i(f(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-12)*m)\/(m\/m**(-6)))**6*(m*m**(-9))\/(m**(1\/2)*m)*(m*m\/(((m**0\/m)\/m*m*m)\/m)*m)\/(m**(-7)*m) assuming m is positive.\nAnswer: m**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 2\/25, -2 in decreasing order.\nAnswer: 2\/25, -0.12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swsnlcswzswcsssssc. What is prob of sequence ls?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 21*u - 9. Let p be i(-11). What is q in 0 - 40*q**4 + 23\/3*q**3 + 20\/3*q**p - 48*q**5 - 4\/3*q = 0?\nAnswer: -2\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 279 - 278.18. Let l = 0.21 - s. What is l rounded to one 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 290 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 13*r - 81. Let v be u(7). Let h = -32 + v. Let n(l) = 10. Let q(j) = 7. Let y(b) = 5*n(b) - 7*q(b). Let t(g) = -g**2 + 11. Give h*y(x) + 2*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1b6886a?\nAnswer: 1b68869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (-2*(sqrt(152) + (sqrt(152) - sqrt(152)*2)) - sqrt(152)*1*-2)\/(sqrt(72)*-5 - sqrt(88)\/sqrt(176))).\nAnswer: -25 + 40*sqrt(19)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -49. Suppose -5*f = -w*f + 5. What is the hundreds digit of 135 - ((-9)\/3 - f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2*y - 19. Let r be f(6). Put r, 0, 12 in ascending order.\nAnswer: 0, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21549738.\nAnswer: 2, 3, 7, 241, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbsbbbsbb. Give prob of sequence sbs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 5652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70182.58 centuries to years.\nAnswer: 7018258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.04 + -2. Let q = 0.71 - 0.67. Let j = q - o. Which is greater: j or -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.097499 rounded to the nearest integer?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - -1 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x = -29*x + 2*s + 3255, -3*s = -2*x - 2170. Which is bigger: -1086 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11547\/36848 - -2\/2303. Let i = x - -77\/144. Put i, 0.5, 1, -3 in decreasing order.\nAnswer: 1, 0.5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let b be s(2). Let k = 0.15 + 4.85. What is the nearest to 0.2 in k, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4036287 - 1?\nAnswer: -4036288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + v**2 - 6*v + 19. Let i(k) = -k**3 + k**2 - k - 1. Let n(a) = -2*i(a) - t(a). Calculate the remainder when n(-7) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t. Let o(s) = -534366*s. Calculate o(c(z)).\nAnswer: -1603098*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 7*a - 4*h - 8, 66*a - 16 = 63*a + 12*h - 11*h for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 567, -3, -11 in decreasing order.\nAnswer: 567, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + -8*(-4)\/16 + 4316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864964930.\nAnswer: 2, 5, 17, 19, 267791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1 - 0 - -6. Let v be (-3 + b)*(1 - 0). Suppose 3*p = -5*s + 16, v*p - 4*s = -0 - 2. Solve p*h - 10 = i, 2*h + 2*i + 2 = -0*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3858 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnnj when four letters picked without replacement from jndwdwdnwjnfwn?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1375)\/1045*(1 + -2). Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*g**3 - 11*g**2 + 1201 wrt g.\nAnswer: -27*g**2 - 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4398723 is divided by 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6 - 8 - z)*(8*z + 7*z - 6*z).\nAnswer: -9*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 6, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 645 - 617.1. Let q = 28 - l. Let p = 662\/501 + 2\/167. Which is the closest to -1\/4? (a) q (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/10)\/((-4)\/(-2*10)). Suppose -3*x + 6*g = b*g - 17, -x + 3*g - 9 = 0. Solve -x*n - 2 = 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*p - 47, -18194*p + 18190*p = l - 25 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1112 and 111\/22?\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 + 4*p - 10. Let v be a(8). Suppose -195*w + 196*w - m = 2386, 3*w - 7160 = m. Let x = v + w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 44. Solve -2*s - 5*d = -3*d + 6, -s = n*d + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.2 (c) 14.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.334659ml in litres?\nAnswer: 0.003334659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13083 - 4238887\/324. What is the common denominator of k and 121\/40?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6 + 7*t + 5 - 8*t + 10 + 8. Give f(34).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 60*i**2 + 7. Let n(x) = 60*x**2 + 2*x + 6. Let p(v) = 6*j(v) - 7*n(v). Find the second derivative of p(r) wrt r.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*v*y - 79*l**3*v - 20*l**3*y - 26435*l**2*y - l*v*y wrt l?\nAnswer: -12*v*y - 474*v - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 6:44 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4611 and 1799943.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w + 8. Let v(b) = 13*b - 5. Let r(i) = -5*n(i) - 8*v(i). Let j(y) = -2*y**2. Calculate r(j(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. Suppose 0 = -4*p - 4, 5*p + 6 - 13 = r*s. Let d(o) = 3*o**3 - 3*o + 4. Let m(h) = 5*h**3 - 5*h + 7. Give s*m(b) + 7*d(b).\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-5))\/(-3 + (-27956)\/(-9320))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -49. Let m be ((-5)\/(-1))\/((-3)\/9). Let n be (-21)\/5 + (-3)\/m. Put q, 2, n in increasing order.\nAnswer: n, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:49 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10868765, 10868856, 10868947, 10869038, 10869129, 10869220?\nAnswer: 10869311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 805 + 10155 = 0. Let d be -8 - -4 - b\/(-5). Suppose 716 = 5*n + d. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 13 = 18*g. Which is smaller: g or 47?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a = -12. Suppose -2*z + a*z = -20. Suppose -2*u = -6*u + 12. Put z, u, 1 in decreasing order.\nAnswer: u, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cstlscccccct. What is prob of picking 1 l and 2 t?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h + 1. Let p be y(4). Let x(g) = 4*g - 48. Let a be x(13). Find the third derivative of p*i**2 - 18*i**4 + 4 + 0 - a wrt i.\nAnswer: -432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**0*z))**(-9\/5)*(z**0\/z)**(-10))**(-2\/31) assuming z is positive.\nAnswer: z**(-118\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = -3. Let t be 3*u*(-2)\/(-12). Let g be 26\/42 + 1\/(-3). Which is the nearest to g? (a) 4\/5 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 30890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/30)\/((-1)\/(-5)). Let w be -2 + (72\/(-10))\/(-3). Which is the smallest value? (a) w (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 - -279. Calculate the remainder when 27 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404343 (base 6) in base 13?\nAnswer: -117c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-41)\/(-24)*2 + (-2013)\/671. Let y(i) be the first derivative of -17 + 0*i**2 + 5\/16*i**4 + 0*i + v*i**3. Suppose y(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42491, -42176, -41851, -41516?\nAnswer: -41171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 8*m + 4. Let a be z(-8). Suppose -5*k = -a*s + 32, -17 + 57 = 5*s - 4*k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 120*o - 555. Let d(x) = -5*x + 3. What is 25*d(s) + j(s)?\nAnswer: -5*s - 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((30\/(-40))\/1). Let i be (13 - 3)\/(10\/y). Factor 1\/3*b**i - 1\/3*b**2 + 0*b**3 + 0 + 0*b.\nAnswer: b**2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -20*l + 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*m = -225, -1056 = -5*a + 16*m - 18*m. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from mgwmllmwpl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 109. Let i be 5*(c\/(-20) + -2). Factor 3*z**3 + 18*z**2 + i + 0 + 36*z + 16.\nAnswer: 3*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3209, -12900, -29043, -51632, -80661, -116124, -158015?\nAnswer: -206328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 233. Give u(-98).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/21*2 + (-7670)\/(-2478). Solve 0 = 4*r - t + f, r - 13 - 2 = -5*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a. Let f be v(-1). Suppose f = -2*o - 2. Let r be 62 + ((-1)\/o - 3). What is the greatest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.96738 weeks to seconds.\nAnswer: 16914671.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)*y*y**(2\/3))**(-6\/5)*(y**(-2\/3)\/y)**15\/((y**(1\/7)\/y)\/(y**(-3)\/y)) assuming y is positive.\nAnswer: y**(-1048\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551578173 to the power of 1\/3, to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2*f + 5. Let d be p(-3). Let m(u) = -2*u**3 + u**2 - 2*u + 2. Let c(q) = q**3 - q**2 + 3*q - 3. What is d*c(s) + 3*m(s)?\nAnswer: -4*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*l + 33327 = -248*l. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - 24. Let m = t - -156. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13223 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -316375 - -175944. Let i = 261431 + x. Round i to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1233373\/749 + 11540\/7. Let p = -48357\/1819 + t. Let q = -665\/51 - p. Which is smaller: 12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 23*l - 3*l**2 + l**3 - 4 - 36*l + l**2. What is the units digit of u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(3 - 3*m - 3).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*k**3 + 172*k**3 + 52*k**3.\nAnswer: 947*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 3, -32, -89, -174, -293?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/7 + 16*o**4\/7 - 30*o**3\/7.\nAnswer: -2*o**3*(o - 5)*(o - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -28229*t + 28231*t - 12, -5*t - 4*x = -39 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2394)\/1539 - 32\/(-9). Solve q*i + 3 = -z, -4*z = -9*z + 3*i + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*k - 27 = -3*t, k - 4*t = 34. Solve -110 = 20*c - k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(66))\/(sqrt(42)\/(sqrt(7)*1)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-5 + 1 - -28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*h**2 - 260*h + 2112 = 0. Calculate h.\nAnswer: -44, 48\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 + 6*m - 2. Let s(a) = -a**3 - 2*a**2 + 4*a - 1. Let q(h) = -2*h**3 - 3*h**2 + 5*h - 1. Let d(f) = 2*q(f) - 3*s(f). Give -8*d(y) - 3*p(y).\nAnswer: 2*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 - 0)\/15)\/(27\/54). Which is the second smallest value? (a) r (b) 2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 17*v**2 + 6*v - 2. Let m be w(-18). What is m rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:42 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4.785.\nAnswer: -0.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54419792*f**3 + 79456681*f**2 wrt f.\nAnswer: -326518752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*6\/(-30) + 18\/15. Suppose 0*u + w*u + 9*u = 0. Solve -5*i + 2*l - 28 = u, i + 4*l - 5 = 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.681 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -83*l. Let v(h) = -45*h + 1. What is v(m(z))?\nAnswer: 3735*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 377413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113447 and -0.1.\nAnswer: 11344.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124079440 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 19. Let n be o(-3). Suppose -3*h = 5*j, -2*h = j - 2*j + n. Solve j*b = b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - 12913922\/(-6). Suppose -2*k - z - 1347679 = 0. Round k to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -8*q**5\/15 - 23*q**4\/12 + q**3\/6 + 299*q**2. What is the second derivative of u(m) wrt m?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 32. Let v be w\/(-28)*-2 + 2. Is 3 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/817 and -54\/473.\nAnswer: 8987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.02553 and -48.62.\nAnswer: -48.59447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(2\/5)*j)*j)\/j)\/(j\/j**(22\/7))*(((j\/j**(9\/5))\/j)\/j*j*j*j)**(-38\/3) assuming j is positive.\nAnswer: j**(22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*l - 14, -3*v - v + 4 = 3*l. Suppose -l*w + 3 = -13. Suppose -w*y = -5*o + 61, 4*o - 14 = 2*y + 36. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k. Let u(q) = 2*q. Let c(h) = 7*u(h) - 2*w(h). Let p(g) = -78*g - 39. Let b(z) = -3*z + 13. Let r(v) = 3*b(v) + p(v). What is r(c(o))?\nAnswer: -174*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 487738.2 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.47671km?\nAnswer: 476710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d*d*d*(d\/d**(-2\/23)*d)\/d)\/(d**(-3\/4)*d)**(-26) assuming d is positive.\nAnswer: d**(487\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/10 - (-2 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127565423 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23308024 to the power of 1\/2, to the nearest integer?\nAnswer: 4828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1010122202?\nAnswer: -1010122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494*g**4 + 749*g wrt g.\nAnswer: -5928*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 157 - (13 + 4\/(-4)). What is the greatest common divisor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from yneccvxy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 6) in base 3?\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:38 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 2\/3. Let j be (-6)\/8 - 3*(-3)\/(-36). Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 4*d**2 + 0*d - 4*d**2 + 28*d**2.\nAnswer: 28*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 + 630*c\/11 - 129788\/11.\nAnswer: 2*(c - 142)*(c + 457)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 4\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/5 (b) -3 (c) -5 (d) -0.17 (e) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182452146.\nAnswer: 2, 591226073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -175*d + 352. Let u be f(2). Solve -17 = 4*p + u*b + 5, 3*p - 4*b = -11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 7358013?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -2*v**3\/3 + 31*v**2 - 4*v - 10. Let h be a(15). Solve -b + x = -x - 7, 3*b + h*x = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 smaller than -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2345 = -g - 5*c, 46*c - 9402 = -4*g + 48*c. Is 50 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:22 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 5*l)*(3 - 4 + 3 + (0 + 3 - 4)*(-5 + 1 + 2))*(-2 + l + 2) to the form x + w*l + q*l**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 47, -6, -17 in descending order.\nAnswer: 47, 0.1, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1046, 1047, 1048, 1049?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 7 + -3 + 2 + -8 - (-16 - -12).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 12*m + 5. Let z be ((-3)\/(-2))\/(3 - (-189)\/(-60)). Let q be l(z). Is 9\/q - ((-47052)\/20 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 + 3*y**2 - 4*y - 4. Let l be z(4). Let a be 554\/l*(-554)\/120. Let u = a - -1\/1650. Calculate the common denominator of u and -111\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**2. Let j(q) = 31*q - 24. Let w(t) = -12*t + 9. Let o(p) = 3*j(p) + 8*w(p). Calculate m(o(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39241093 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4512*r**2 + 2215*r**2 + 2299*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 6*p**2 + 6*p**2 - 7*p.\nAnswer: 2*p**3 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:11 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -87*n + 54*n. Put -10, -5, n in decreasing order.\nAnswer: n, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(189)\/(sqrt(54)\/sqrt(6)))\/(-2*sqrt(147)).\nAnswer: 5*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x - 3. Let u be w(4). Suppose 2*z + 13 = -u. Let o = z + 24. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:32 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2) + -3)*2.\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20808*a + 1155 = -20843*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 - 3*f**4 - 18*f**3 + 12*f**2 + 24*f.\nAnswer: 3*f*(f - 2)**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14 - 7\/((-7)\/(-2)). Let c(m) = -m - 1. What are the prime factors of c(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11440431 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*a + 4, -2*a - 4 = 5*t - 3*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 799, -243, -3127, -7853, -14421, -22831, -33083?\n\"Answer: -921*a**2 + 1721*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -602 in 2\/49, -2\/25, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = 347 + 203 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:13 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 3*v + 5. Let d be i(-4). List the prime factors of (d + (0 - 0))*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 + 1.1. What is the nearest to 1 in 0.3, -1\/11, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53\/5 in 313, 0.3, 405?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 - 7*l - 3. Let c be y(-6). Find the second derivative of -2*q - 12*q**4 - c*q + q**4 wrt q.\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(10\/3 + -3)*-6. Is 8 a factor of p\/16*-4*(-177)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {z: 2, b: 2, x: 6, j: 2, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 121 - -148b?\nAnswer: 15ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 2928*v**3 + 28.\nAnswer: 2928*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + sqrt(1216) + -2 + -1 + sqrt(1216))*-6 + 5)*-2)**2.\nAnswer: -58368*sqrt(19) + 11208100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 4. Suppose 2*y = 3*y - 6. Calculate the smallest common multiple of l(-5) and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.015 and -116967.6?\nAnswer: 1754.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 390 + 2714 - 2*u + 1416 - 1106 + 4358 in the form s + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 - 7*k**3 - 13*k**3 + (2*k**2 + 0*k + 0*k)*(3*k + 4*k - 6*k) + k**3 + 0*k**3 - 5*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25994990849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 - 3*p + 4. Let m be x(-3). Let c = -11.4 + 2.6. Let l = -9 - c. What is the nearest to 1 in -4\/5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from qttqqqqqqqq.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 310 = 5*n. Let i = n + 469\/3. Find the common denominator of i and 53\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 115*h - 18 = -118*h, 5*w = -3*h + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84, 57, 26, 3, 0, 29, 102?\n\"Answer: 2*s**3 - 14*s**2 + s + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 180*v**2 + 21*v - 37. Let o be t(2). Let y = o + -644. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21209 is divided by 936?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 332 = -5*w, -9*w + 5*c - 137 = -7*w. Let f = 74 + w. Solve u + 21 = f*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730 divided by 210?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -4206?\nAnswer: 25236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, 1 y, and 1 j when four letters picked without replacement from {y: 3, o: 1, j: 6, w: 1, e: 3, q: 6}?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9232*n + 108 - 108 + 5768*n. Let o(q) = q**3 + q**2 - 2*q. Let c be o(-3). Let h be a(c). Round h to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*l + 212*l - 3501 - 1667 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1677231.\nAnswer: 3, 157, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 790 and 261322678.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + 4.4. Let g = -2732 - -2734. Let c = g - a. What is the nearest to -0.1 in -13, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, y: 1, q: 5}. What is prob of picking 1 q and 1 y?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216581, -433569, -650557, -867545, -1084533?\nAnswer: -1301521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -16*(4\/(-2) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/15, -5, -3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2. Let v be z(2). Suppose -f - 3*f + 352 = 0. Calculate the greatest common divisor of v and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w - 6. Suppose w*d = 2*d - 5, 0 = -3*q - d + 2720. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 3, k: 2, g: 4, n: 6}. Give prob of sequence mnmn.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 193 + 21 = 6*k, -2*m + k = 36744 - 36715 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*d + 263*d + 269*d + 271*d - 14*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r + 19. Let x be m(-8). Let u = x + 92. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870*d - 4 = 868*d. Sort 54, d, 0 in decreasing order.\nAnswer: 54, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 - 148. Solve v*x = -f + 20, f - 4*f = -2*x - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 12\/5 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - -192. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*h - 10 = -3*h, 0 = -3*w + h + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m**3 - 5*m - 12. Let z(w) = 8*w**3 - 4*w - 11. Suppose -3*x + d = 21, 7*x - d - 9 = 9*x. Calculate x*r(o) + 7*z(o).\nAnswer: 2*o**3 + 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p + 62. Let j(w) = 7*w - 23. Let o(d) = 4*a(d) + 14*j(d). Let l(s) = 3*s. Determine l(o(c)).\nAnswer: -6*c - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 5*t**2 - 4*t + 5. Let g(o) = -2*o + 1. Calculate -2*g(w) + y(w).\nAnswer: -w**3 + 5*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 5*v - 21, 2058*v = 4*j + 2061*v + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2739271352 to the nearest one hundred thousand.\nAnswer: -2739300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 1 + u**4 - 2*u**2 + 2 + u**3 - u**3 in the form q*u + p + d*u**2 + l*u**4 + w*u**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*c - 34. Let d be (3\/c - -1)*(5 + -3). What is the closest to 0.3 in -1, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/12 - 6\/(-4). Solve o*m = m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 1412.\nAnswer: 35300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 3388 = 109*a + 162*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*l**3*s**4 + 8*l**3*s**2 - 2*l**3*s + 31*l**2 - l*s**5 wrt s?\nAnswer: 1224*l**3*s - 60*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z + 1. Let m be 21\/27 + (-2)\/(-9). Let l(t) = -7*t**2 + 4*t + 1289 - 15*t**2 + 22*t**2 + 2*t**3 + 0*t - 1288. Give m*l(s) - k(s).\nAnswer: s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0015, -17, -0.4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = -3*c, -2*n = -2*c + 5*c + 6. Put -5, c, 3, -20 in ascending order.\nAnswer: -20, -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.3. Let m = -203 - -248. Let u be 235\/m + -3 - 2. What is the closest to 1 in g, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.94 - -0.06. Let h = q + -8. Let w = h - -2.5. What is the nearest to 2\/3 in w, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374 (base 10) to base 15\nAnswer: -19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -800.60113 - -811.26. Let q = y - 10.65. Round q to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86918678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 5:32 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -102, -1\/2 in increasing order.\nAnswer: -102, -4\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13207 (base 8) to base 2.\nAnswer: 1011010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(3*l**2 - 4*l**2 + 0*l**2) + (0 + 0 - l**2)*(0 - 3 + 1).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 + 514 + -538.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1983, 7895, 17731, 31491?\n\"Answer: 1962*q**2 + 26*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10879 + -5?\nAnswer: -10884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3197\/11622 - -25\/298. Let r = -4\/13 - l. Is -8 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 4*s + 4, -4*s = 9*n - 7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 16*q**3 - 6*q**3 - 4*q**3 - 4*q**3 + 0*q**3 + q**4 + 5*q + 8 to the form k*q**4 + z*q**3 + m + u*q + y*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 84 = -8*p. Find the common denominator of (p\/27)\/(28\/(-21)) and (151\/(-54))\/(-1)*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -3\/8, 590?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -93251?\nAnswer: -93225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/16300 and -25\/3192844?\nAnswer: 79821100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257, 16, 9 in decreasing order.\nAnswer: 16, 9, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -733134.3297 to the nearest one hundred.\nAnswer: -733100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 + 62*x**2 - 101*x + 1227. Calculate n(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8087 (base 10) in base 3?\nAnswer: 102002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26837 (base 10) to base 9\nAnswer: -40728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 17 = 5*b - 24*p, p = -3*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 1513654*s\/5.\nAnswer: 2*s*(s + 756827)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14427, -57467, -129211, -229665, -358835, -516727, -703347?\n\"Answer: -k**3 - 14346*k**2 + 5*k - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 444606 = 2*k, -11*q + 3*k = -15*q + 296394. What are the prime factors of q?\nAnswer: 3, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 732*a**3 + 77*a**2 - 3*a - 2511243?\nAnswer: 4392*a + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13837*q*r*u + 36*q + 3*r*u + 6*r + 2*u + 38703 wrt q?\nAnswer: -13837*r*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52925399 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t + 17. What is z(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1479 and 1764447?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = 5*n, 2*j - 34 + 0 = -5*n. Calculate the lowest common multiple of n and 29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -9, 2, 3, -0.3, 20\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1. Let g be p(1). Let w be g\/10 - 42\/(-15). Calculate the remainder when 39 is divided by (w + 37)\/4 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198623475.\nAnswer: 3, 5, 41, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39058.\nAnswer: 2, 59, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -37819743.\nAnswer: 5\/37819743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542931.\nAnswer: 3, 137, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219168006 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3375 is divided by 188.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 4303.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -103003 (base 8) to base 2\nAnswer: -1000011000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/2 - x. Let d(s) = -s**2 + 5*s. Suppose -a + b = -2, a + 0*b + 3*b = 6. Let u be d(a). Give t(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:40 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3758 = 17*w - 543. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {v: 3, l: 1, d: 13}.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*q + 11*q + 19*q**5 + 66*q**5 wrt q?\nAnswer: 1700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 - 3 = 0, f + 3*v - 62 = 0. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3729 (base 10) to base 6.\nAnswer: 25133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 1. Let y(k) = -k**2 + 3*k + 3. What is 4*r(x) - 2*y(x)?\nAnswer: 6*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10981 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 9 = -17*z. Let s = -2 + z. Let g(k) = 7*k. Let b(q) = -14*q. What is s*b(a) - 5*g(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*k + 12 = 0, 0 = 4*t - 0*t - k - 31. Let a = 15 - 11. Suppose 2*c - 2 - a = 0. Solve t*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-1\/25)\/((l**(2\/15)*l)\/l*l*l**(-2\/21)\/l*l) assuming l is positive.\nAnswer: l**(-524\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 9 = 9*b. Let l = 2 + 3. Find the second derivative of 2*j**l + 2*j**5 - 2*j**5 - b*j wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 28737?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z - 136. Let g(u) = -u**3 - 9*u**2 - 8*u - 11. Let m be g(-8). Let c be k(m). Calculate the greatest common divisor of c and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24a (base 12) to base 14\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(8) + 0 + sqrt(18) + sqrt(2) - (sqrt(98) - ((sqrt(98) + -2*sqrt(98) - sqrt(98)) + sqrt(98)))*-1)*-4)**2.\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 818.2 (c) -0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.143 + 0.091. Let m = -88.948 + r. Let i = m + 88.99999976. What is i rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 76 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70933465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202112 + 1100100?\nAnswer: -11102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 898*l**4 - 925*l**3\/3 - 77*l - 9. What is the second derivative of o(x) wrt x?\nAnswer: 21552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 609 + -604. Suppose 0 = 5*p + 4*g - q*g - 97659, -3*p = g - 58589. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6564925 by -5.\nAnswer: 1312985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {v: 1, a: 10, i: 6}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -w + 4, -3*h - 2*w + 0*w + 10 = 0. Suppose -h*l + 6*l - 76 = 0. Let k(m) = 15*m - 5. Calculate the remainder when k(4) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16345 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/14976 and 87\/64?\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -52. Suppose -5*w + 28 = -7. Solve x*y = 2*l, 5*y - 17 + w = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = g - 137, -39341*g = 5*x - 39368*g - 343 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o + o - g - 2, 3*o = -3*g - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2356835 and 505.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223361 (base 8) to base 3.\nAnswer: 10211120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 0.263?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/3 + 3519268*n**2\/3 - 1548152387704*n\/3 - 3096318852496\/3 = 0.\nAnswer: -2, 879818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10126 by 13.\nAnswer: -10126\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 428 + -433. Put -6, n, 3 in descending order.\nAnswer: 3, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -160*x - 147. Let v(o) = -o**3 - 2*o**2 + 6*o - 3. Let k be v(2). What is the units digit of i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:39 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 - 819*x**3 - 5562*x**2 + 6384*x = 0.\nAnswer: -266, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2842 = 19*t + 714. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**4)**(-4\/11)\/(r*r**(-5)*r*r*r**(3\/8)*r) assuming r is positive.\nAnswer: r**(151\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 45 = -3*z, 4*z + z - 55 = -4*o. Let d = 30 - o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 + 7 + 19*x**3 + 64*x**4 - 3 + 167*x**4 - 14*x**3 to the form u*x**3 + z*x**2 + g + i*x**4 + v*x and give i.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 29*p - 2*p - 1925 = -28*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddnndddddddddnd. Give prob of picking 1 n and 1 d.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 8, q: 2, c: 1, r: 5}. Give prob of picking 3 y.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:11 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 - 8*l**3 - 3*l**2 - 640*l**4 + 637*l**4 as f + s*l**2 + y*l**3 + w*l**4 + i*l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 12*f**2 - 19*f - 20. Determine j(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 5*d - 4*d)*(-7 + 9 + 1) as m + h*d and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -35*u**5 - 2*u**4 + 221*u**2. Let m(a) = 173*a**5 + 11*a**4 - 1104*a**2. Let o(n) = -2*m(n) - 11*r(n). What is the third derivative of o(v) wrt v?\nAnswer: 2340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1072 - 1073. Let u(q) be the third derivative of -1\/12*q**4 - 1\/6*q**3 + 0 + 1\/30*q**5 + 0*q - 4*q**2. What is u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:19 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**2. Let t(l) = 4*l + 3. Determine t(d(w)).\nAnswer: -24*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -266 + 203 - (15 - (-2 - -5))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(22\/55)*((-129098)\/11730 + 11).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282196?\nAnswer: 2, 70549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*m - 2079, 3*m - 751 = 2*b - 2137. Calculate the smallest common multiple of 99 and b.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12\/72*1*(-33)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - b - 5*b + (3 - 2 - 3 - 163 - 14 + 69 + (2 - 2 - 3)*(5 - 3 - 3))*(0*b + 4*b - b) to l + c*b and give c.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 + 0*x**2)*(0*x - x - 12*x)*(1 + 0 - 3) + (0 + 3*x + 0)*(-3*x**2 - x**2 + 3*x**2 + (x + 2 - 2)*(-2*x + x + 2*x) - 78*x + 78*x + 4*x**2).\nAnswer: 64*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8233, 16394, 24533, 32650, 40745, 48818, 56869?\nAnswer: 64898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15326606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u, -4*d + 3*u + 54 = d. Let r(c) = 2*c - 22. Let a be r(d). Suppose 0 - 2\/3*w**a - 4\/3*w = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 49 = -3*i - 155 + 147, -20*i = 4*r - 236 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241690 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 3 + -4 + 671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 16 = 0, j = -3*s - 15 - 76. Let r = j + 170. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*a = -9, -841*a = 5*f - 846*a + 60 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 42, 0 = 3*m + 4*n + 162 - 192 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:09 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 1, i: 3, y: 1}. What is prob of sequence ikuy?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.03, 0.5, 0.52, 0, 2 in increasing order.\nAnswer: -0.03, 0, 0.3, 0.5, 0.52, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -11. Suppose 2*i + i - k = 0. What is the third derivative of -2*m**2 - 2*m**6 + 4*m**2 - i*m**2 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6110, -6086, -6058, -6026, -5990, -5950, -5906?\nAnswer: -5858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + 0*x)*(166 + 209 - 347)*(2 + 2*x - 2 + (-3 + x + 3)*(4 - 1 + 0)).\nAnswer: -280*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/8 + 29*v**3\/2 + 2523*v**2\/4 + 24389*v\/2 + 707281\/8 = 0. Calculate v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x**3 + 40*x**2 + 37*x + 31. Let s(a) = -3*a**3 + 12*a**2 + 12*a + 10. Let k(c) = 2*b(c) - 7*s(c). Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/60 + 11*p**4\/24 + 13*p**3\/6 + 3*p**2. Let y be h(11). What is the highest common divisor of y and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469 - 6*v - 6*v + 11415 + 5890.\nAnswer: -12*v + 15836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48d (base 16) to base 15.\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1\/678, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 36. Suppose 0 = -w - m - 3, 0*w + 3*w = -5*m - l. Is ((9 + -5)\/(-4))\/(w\/(-505)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-730)\/66*(2 - 5). Let f = 33 - q. What is the second smallest value in 4\/9, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3\/4 (c) 0.2 (d) -33 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 33*t + 146. What is a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1058 - -1055. Let y = 0.1 - -0.9. What is the second biggest value in -2, y, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441315 is divided by 441240?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*o**2 - 71453*o - 22566.\nAnswer: (o - 3761)*(19*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 22 = -3*a + 7*a, -a = 2. Suppose 0 = -2*f + n + 43, 3*n + 14 = f - k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67138278 and 846.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961115.9 centuries to years.\nAnswer: 96111590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25.2 or -3.3722?\nAnswer: -3.3722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/12 + 40*n**4\/3 + 2560*n**3\/3 + 242*n**2. Factor x(r).\nAnswer: 5*(r + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 10*y - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a = -215 - 427 - 246. Solve -3*l - f + 2 = 0, a = 26*l - 30*l + 4*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 26*b. Let s(i) = i**2 + 7*i + 26. Let k be s(-5). Let q(o) = -21*o**2 + 36*o**2 - k*o**2. Give g(q(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from {l: 9, i: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83613850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 15*s + 15. Let v(u) = -u + 1. Let f(h) = g(h) - 15*v(h). Let n(y) = -2*y + 6*y - 2*y. Determine n(f(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285778330?\nAnswer: 2, 5, 128577833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217723711?\nAnswer: 199, 1094089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 26. Calculate v(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 10. Let o(i) = i - 7. Let t be o(d). Solve -2*m - 7 = 2*n + 3*n, -t*m + 1 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 18 = 5*q + 23, 4*q - o + 37 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16527805 to the power of 1\/2, to the nearest integer?\nAnswer: 4065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Suppose t*i - 493 = 47. Calculate the highest common factor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 36 = 2*d. Let w = d - -73\/4. Which is the closest to 2? (a) 0 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 480*i - 481*i - 2*n - 5, -5*n - 26 = 4*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/(16\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 528504?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191\/5*(-13 + 18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 116 + 24b?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n*(n*n**(3\/2))\/n)*(n\/(n*n*(n**1\/n)\/n*n*n*n))**(-49))\/((n\/(n\/n**(2\/11)))\/n**5)**6 assuming n is positive.\nAnswer: n**(3881\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.1, 136368, -8?\nAnswer: 136368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/8 - 5*d**4\/8 - d**3\/8 + 21*d**2\/8 + 9*d\/4 = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.4. What is the smallest value in 1, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61605*g**3 + 61716*g**3 - 185050*g**3 + 61724*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 185, 0.211, 5, 0.5, 138?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z. Let t be q(1). Solve -f = -1, -2*p + f - t = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*f**5 - 12*f**3 + 1567*f**2 wrt f.\nAnswer: -3240*f**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27897, -111438, -250677, -445614, -696249, -1002582?\n\"Answer: -27849*x**2 + 6*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7665*h**2 - 7855*h - 190.\nAnswer: -5*(h + 1)*(1533*h + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, 41, -6, -5.\nAnswer: -6, -5, -1, 2, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(0*n + 0*n - 2*n) - 1 + 68330*n + 1 - 67739*n + (-4 + 6 - 3)*(-3*n + 4*n + n) as j + c*n and give c.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.2606, 3\/4, -3?\nAnswer: -1.2606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Let n = h + -1. What is the third derivative of -2*i**2 - n*i**3 + 2*i**2 - 4*i**2 wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762 - 3*t**3 - 962*t + 962*t - 762 - t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -16, -8, 18, 68, 148, 264, 422?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 7132983*a + 28531980.\nAnswer: -3*(a - 4)*(a + 2377665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9988, -18647, -27308, -35971, -44636, -53303?\nAnswer: -61972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 5:04 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 36*o**2 + 31*o - 76. Determine x(-17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479831 is divided by 159929?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(2*sqrt(252)*-2*-6 + 5)*-1 + 3)**2.\nAnswer: 19584*sqrt(7) + 2322719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611, 1220, 1825, 2426, 3023?\nAnswer: 3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**4 + 29*d**2 - 2 - 31*d**2 - 2*d**3 + 2*d - d**4 + 0*d**3 in the form q + t*d + y*d**4 + f*d**2 + v*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 5*v + 1. Let m be i(-5). Let r be m\/((-3)\/(-7))*-9. What is the units digit of r\/(-4) + 3\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.006, 0.2, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7271.\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -4*w**3\/9 + 68*w**2\/3 - 1156*w\/3 - 76. Find j such that d(j) = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7 - 2112\/336 - ((17 - 15) + -20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 8) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*o - 787, -387 - 136 = -2*o - 3*g. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10005 or 70029\/7?\nAnswer: 10005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phd. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 3*a - 1. Let v(o) = -o**3 - 5*o**2 + 11*o + 16. Let y be v(-7). Let x = -34 + y. Let u be p(x). Which is bigger: u or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792663019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**33*k\/k**(-18)*k**(21\/2)\/(k*k*(k**(-4\/3)*k)\/k*k) assuming k is positive.\nAnswer: k**(365\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/108 and 23\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -70 = -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81\/(-15*6\/(-240))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 66?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16*v**2 + v. What is j(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3 + 0*h**2 + 2*h**2 + 5*h**2 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 4*j - 4*j)*(-18*j - 272*j - 3530 + 293*j) to the form n*j**2 + x*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-80))\/(3\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 566784 divided by -13824\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -283, -424, -565, -706?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 496, 307, 118, -71, -260, -449?\n\"Answer: -189*p + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 616, 1232, 1846, 2458, 3068, 3676?\n\"Answer: -z**2 + 619*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -102. Solve -m*q + 3*i - 6 = 0, 5*i - 2 = 4*q - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*n - 1482 = -410*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0577299 and 0.5.\nAnswer: 0.5577299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-43278)\/90*-18 + (85\/25 - 3). Calculate the highest common divisor of 48 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41094060 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1)*((-29532)\/8 + -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j - 1. Let i(z) = 2*z**3 - 8*z**2 - 40 - 27*z - 31*z + 10 + 66*z. Let b be i(4). Which is bigger: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 900673863 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16416 and 99408?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -12.38, 495 in ascending order.\nAnswer: -12.38, 0.2, 1, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - q**4 + 3*q**4 + q**2 - 210*q - 51*q**3 + 429*q - 221*q - 24*q**3 as k*q**3 + x + z*q**4 + b*q + r*q**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.48 + -1.28. Let f be (1 - 3\/6)*-52. Let l be (-6)\/(-10) + f\/60. Is l >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 times 33608?\nAnswer: -16467.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16676?\nAnswer: 2, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 4*x - 1. Let m be v(3). Let u(l) = 3*l + 3 - 2*l - l**3 - 7 + 11*l**m + 1. What is the remainder when u(11) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6600601900.1+-365\nAnswer: 6600601535.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/3 (b) 26 (c) 1 (d) -1\/3 (e) -694 (f) 3 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 9. What is the remainder when i\/(5 - 1) - -49 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = -4. Let z(k) = -4*k**3 - k**2 + 2*k + 2. Let w be z(f). Solve 5*p + 3*m = -22, -w*p - 4 - 14 = 3*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/5 (b) 111\/7 (c) -2 (d) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 z, and 1 i when four letters picked without replacement from zgtiaftg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 8*x**2 - 8*x + 11. Let d be g(-9). Let t be (-175)\/(-10) + (-1)\/d. Calculate the highest common divisor of t and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + n + 1. Let d(a) = -31*a**2 + 7*a + 17. Let v(t) = -d(t) + 6*y(t). Is v(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -31. Let a = c + -3. Suppose -4*z - 4*g = -340, -g - 111 = -z - 16. What is the greatest common factor of a and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 32*k**2 - 105*k - 3. Determine r(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40347, -80652, -120949, -161238, -201519, -241792, -282057?\n\"Answer: 4*j**2 - 40317*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686) - (sqrt(686) + 4*sqrt(686)*1 - sqrt(686)))\/(sqrt(200) - sqrt(200)*1*-3 - sqrt(200)).\nAnswer: -7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 526408923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 38*s. Let i(w) be the third derivative of w**5\/60 - 19*w**2 + 3*w. Determine n(i(z)).\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:34 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -615298.6 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 20*x + 46. Suppose 110 = -3*m - 2*m. Let l be y(m). Solve 2*d - 5*q + l*q + 2 = 0, -12 = d + 4*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let u(i) = 1459*i. What is r(u(s))?\nAnswer: 1459*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -221*v. Let a(i) = -22*i**2. Calculate a(q(h)).\nAnswer: -1074502*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -2*x, 19 = r + 5*x - 12. Suppose -r*s = -68 - 42. Calculate the remainder when 29 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -240. Suppose -3*a + t + t - 10 = 0, 4*t - 20 = 0. Suppose a*v + 3*v = x + 8, -2*x = 5*v - o. Solve -3 = -k - g, x = -2*k + k + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6465.199ml in litres?\nAnswer: 6.465199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d**2 + 347*d + 36. Let j be y(29). Solve -23 = j*q - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/533883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.3 + 22. Let i = -13 + z. Which is the third biggest value? (a) i (b) 4 (c) 3\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*y - 6, -2*y = 2*h + 13 - 7. Let n(v) = -21*v - 144. Let l be n(h). Solve 4*j = 3*x + 29, -5*x + 0*j = -l*j + 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57317.71 rounded to the nearest one hundred?\nAnswer: -57300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -7. Let r = 35\/4 - 191\/20. Sort g, -0.5, r in ascending order.\nAnswer: r, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -492, -796, -1100?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 5*m - 5. Let u be k(-5). Suppose 0 = -3*p - 8 - 37. Let a be 6\/p - 32\/u. Solve -a*l - 15 = -11*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111886402 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71 - 48 - 3*u + 91*u**2 + 3*u**3 - 24 + (0 + 0 + 2*u)*(0*u**2 - u**2 - u**2).\nAnswer: -u**3 + 91*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 36 = 4*m - 28*d, m - 2*d = 9. Suppose b + 2*b = 216. Calculate the greatest common factor of b and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 - 6 + 562*q - 540*q as p + o*q and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.287 + -7.49021.\nAnswer: -7.20321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 4700170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18793*a + 3*x = 18794*a - 21, -4*a - 6*x - 6 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -125*y - 1757. What is c(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016550054.\nAnswer: 2, 3, 13, 17, 103, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 0*h**5 - 5*h**5 + (5*h - 2*h - h)*(-1316 + 97*h**4 + 1316).\nAnswer: 193*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 230550085 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 3, u: 2, o: 9}. Give prob of picking 1 r and 3 o.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - -9.96. Let p = 0.08 - f. Let c = -8 - p. Which is bigger: c or -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 12 - 16. Let h(o) = 1. Let t(i) = i. Give m*h(w) - 5*t(w).\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/50*5\/2. Suppose 3*j - 5*w - 409 = 0, 5*j + 0*w - 723 = -k*w. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*x**4 - 1265*x**2 wrt x?\nAnswer: 1368*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)\/((-5)\/(-25)). Solve -u = 4*s - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6226, -25142, -56742, -101020, -157970?\n\"Answer: y**3 - 6348*y**2 + 121*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448.5 + 449. Let z = -158 + 1102\/7. What is the nearest to -1\/4 in 5, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1884609 by -3.\nAnswer: -628203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/3 - 4) + (-8)\/1. Let x = 26 - 21. Suppose x*t = g + 9 - 0, -4*g + t - 17 = 0. Is a at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 11*i**3 - 30*i - 6 + 8 - 8 to the form d*i**3 + k*i**2 + r + x*i and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -133539990 divided by -2\nAnswer: 66769995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162971271 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-6 + -14 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwjt when four letters picked without replacement from {j: 2, b: 1, p: 1, t: 1, w: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*h = 295*h + 1927 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 18*t**3 + 57*t**3 - 23*t - 17*t**3 - 16*t**3 as y*t**2 + j*t**3 + n*t + l and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 5 + (89 - 1) + -35.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2. Let c(j) = -j**2. Calculate t(c(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 189259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209281, -209286, -209295, -209308, -209325, -209346?\n\"Answer: -2*r**2 + r - 209280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -5*g**3\/3 - 5*g**2\/2 - 38*g. Let h be x(-1). Solve -b = 2*b + h*j - 15, 3*b = 3*j + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23036 - 15964 = 0. What is f rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnccnfccunmkmcufnnnf. What is prob of sequence nnuc?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*n + 441 - 447, 3*z + 3 = 5*n. Which is the nearest to 2\/5? (a) -2\/11 (b) -1\/6 (c) z (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474287 + 6*k**3 + 11*k**3 + 474287 + 2*k**3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*d**3 - 349*d**3 - 184*d**3.\nAnswer: -919*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 949 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3000 and 83\/3372?\nAnswer: 843000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18564367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/270*5\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/330 in 2\/3, 0.1, -2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10854\/5 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718529.\nAnswer: 3, 572843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 times 0.4?\nAnswer: -168.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 567 = -8*p + 5*p, l = p + 191. What is p rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -44. Let h = 9 - y. Calculate the least common multiple of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u = -151829 - 127840. What are the prime factors of u?\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59908005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 82. Let z(u) = -48*u. Let j(s) = -7*s. Determine h*j(y) - 3*z(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 + 7. Let p(i) = -i**2. Give p(c(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3510 divided by 2\nAnswer: -1755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 756668351 less than or equal to 756668350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 18 = -5 + 2. Sort a, 3, 1, 2, -1.\nAnswer: a, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/415 and -53\/305.\nAnswer: 25315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369086 and 71436?\nAnswer: 2214516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526316 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6*j = -8*j - 640, 2*v - 3*j - 245 = 0. Calculate the highest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066011154?\nAnswer: 2, 1193, 865889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 7, e: 1}. What is prob of sequence stt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 18 = -41. Let j(f) = 7*f**2 - 2*f - 4. Let r(k) = 8*k**2 - k - 4. Let u(n) = -7*j(n) + 6*r(n). Calculate the remainder when i is divided by u(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = -2*s + 6*s, -2*u - 12*s = 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 times -0.034?\nAnswer: 0.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1950 + 170*f + 3251 + 81*f - 10550 wrt f?\nAnswer: 251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/12 - r**3\/3 + 5*r**2. Suppose -1 = l - 5. Suppose 0 = -l*j - s + 20, -10 = 2*j - s - 26. Determine b(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4402*g + 1 + 11408*g - 1.\nAnswer: 15810*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1278.67 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Let g be (1 - -1) + (-4)\/(-2). Solve 0 - g = q*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.759032 decades in months?\nAnswer: 451.08384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 5*a**2 + 2*a**2)*((-3 - 1 + 5)*(-4 + 3 - 1) + 5 + 1 - 5 + 3 - 4 + 2 + (-3 + 1 + 1)*(1 - 8 + 27)).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308.4 - 308. Let w(u) = u. Let a(b) = 5*b - 2. Let m(q) = a(q) - 4*w(q). Let r be m(5). Sort 0, n, -3\/2, r.\nAnswer: -3\/2, 0, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*h = 3 + 1, s - 3*h - 16 = 0. What is the smallest common multiple of s and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + (27 - 33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 4*d**3 - 4 + 4 - 9*d**3 + 4*d**3 + 49*d**2 - 1 in the form u*d**2 + q*d**4 + w*d**3 + s*d + v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 18. Which is the closest to -0.1? (a) q (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 7*s + 3*s**2)*(-7 - 25 - 42).\nAnswer: -222*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1010 or 11126\/11?\nAnswer: 1010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 125630208 and -0.03.\nAnswer: 125630207.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 - 14640?\nAnswer: -14684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.8. Let b = 0 - r. Let w = 0.9995 + b. Round w to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 58 = -20. Let j = 33 + -9. Let v = j + o. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -9, -7, -8, -13, -6 in descending order.\nAnswer: 6, 4, -6, -7, -8, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or -30514?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(3*-26)\/(-1). Let t = a + -72. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878406?\nAnswer: 2, 939203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 3632\/11 - (-4)\/(-22). Let p = j + -332. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-4 + sqrt(6)\/sqrt(3)))*4 - ((1*sqrt(216))\/sqrt(12))\/sqrt(9))**2.\nAnswer: -32*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.7 (b) -0.1841 (c) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((8\/(-12) - 0)*-3). Suppose 8817 = 3*d - m, -3*d - 3*m + 8817 = -w*m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 749754 by -204.\nAnswer: -124959\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 7\/3*d**3 + 0*d**2 + d - 14. Let n(o) = -2*o. Give n(s(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2 + -1 - sqrt(704))**2*-4 - ((sqrt(275) + -2)**2 - sqrt(11) - (sqrt(176) + 2 + sqrt(176) - sqrt(11))).\nAnswer: -3097 + 92*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 8*d**2\/9 - 10*d\/9 - 4\/9.\nAnswer: -2*(d + 1)**2*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1 + 4 + 7 - 1 + 126*h. Let t(k) = 63*k + 6. Let l(a) = 4*s(a) - 7*t(a). Is l(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*y = -4*y + 5, 0 = 2*j + 2*y - 10. Let c be j\/((-6 - -7)\/(-1)). Solve -10 = 5*v - c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-10) + (-22)\/5. Let q(m) = m**3 + 4*m**2 - 5*m + 3. Let j be q(p). Put j, 1\/3, -3 in ascending order.\nAnswer: -3, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 21*a**2 + 24*a + 46. Let h be u(-22). Suppose -b - 1 = 2, h*y = 5*b + 41. Suppose y*v + 510 = -75. Round v to 0 dps.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/200 - 1\/(-5). Which is the closest to m? (a) -9 (b) -4 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1431164248*r**4 + 1049201394.\nAnswer: -5724656992*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let u(d) = 2*d**2 - 45*d - 12. Let q(i) = -6*f(i) + u(i). Differentiate q(v) wrt v.\nAnswer: 4*v - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 549428?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*l - 11, -l + 5 = 32*f - 30*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*v + 7*v**2 + 34*v - 4*v**2 + 2*v**2 + 25*v**2 in the form m*v**2 + j*v + k and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 483*y + 48. Let a be h(4). Let b = 4913\/266 - 336\/19. What is the common denominator of 2\/(a\/(-1731)) + 10\/15 and b?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 4. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 + 568*b**4 - 21208*b**3 + 70128*b**2 + 206172*b + 114264 = 0. Calculate b.\nAnswer: -1, 6, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2781, -11489, -25991, -46281, -72353?\nAnswer: -104201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -41832 divided by -24\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and 58.\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12492434.\nAnswer: 2, 61, 102397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - -11) + -8 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l - 10. Let d(r) = 2*r - 7. Let b be d(5). Let n(c) = -c + 2. Determine b*w(t) + 16*n(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 16*z + 13. Let n be a(18). Let j(p) = p**2 + 18*p - 47. Is 5 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c**4 + 4*c**2 + 4\/735*c**7 + 0*c**3 + 0*c + 1\/105*c**5 - 1\/1176*c**8 + 0 - 1\/84*c**6. Factor q(y).\nAnswer: -2*y**2*(y - 2)*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -0*t + 5*t - 132, 2*t = 3*c - t + 96 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1664*q - 29 = 1669*q - 3334*q, 2*x + 5*q + 65 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*((sqrt(539) - sqrt(539)*-1*-2) + sqrt(539)))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 223, 225, 225, 223, 219, 213?\n\"Answer: -o**2 + 5*o + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73262 is divided by 626?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (5 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4259212531 + 563238265055471\/132240. Let t = j + -93\/1520. What is the common denominator of t and 89\/12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399.282156 seconds in weeks?\nAnswer: 0.00066018875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634 - 434 - w + 1078 + 375 + 4*w.\nAnswer: 3*w + 1653","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8412222 and 73\/739536.\nAnswer: 67297776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 3*f - 36, -186*t + f = -183*t - 48 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.47915 millimeters in nanometers?\nAnswer: 68479150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p + p + 25, 2*n + 2*p = 40. Let i be 6\/(-33) + (-46)\/(-11). Suppose -i*c + 5*c = n. What is the remainder when 57 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 61. Suppose s = 2*w - 39. What is the first derivative of 27 + 7*c - w - 14 wrt c?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 828\/30 + (-6)\/10. Calculate the greatest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/4 (c) 3 (d) -15 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/4? (a) -9 (b) -0.31 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 57. Suppose 12*v + 3 = 3. Sort g, v, -2 in decreasing order.\nAnswer: g, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2315*i + 269 + 275 + 272 - 816 to j*i + n and give j.\nAnswer: -2315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxuiaxtiui. Give prob of picking 2 x, 1 a, and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 16*s + 44, 3*c + 1794*s - 7 = 1799*s - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9.953 * -0.0601\nAnswer: 0.5981753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:55 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9448678 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*c + 14. Let p(z) = 8 - 2*z - 5*z**2 + 17*z - z**3 - c*z. Let h be p(-6). Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356074 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8640) + -1*sqrt(8640) - sqrt(8640))*-4 + sqrt(8640))\/(5*sqrt(20) + sqrt(20)\/(sqrt(4)*1)))**2.\nAnswer: 43200\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:46 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n**2\/2 - 1351229*n\/2 + 300274 = 0. What is n?\nAnswer: -150137, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 2 + 2)\/1. Suppose 2*p + 2*p + 3*v = 17, p = 2*v - l. Let o(t) = t**3 + 6*t**2 - t - 4. Let f be o(-6). Do p and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -157\/7. Which is the third smallest value? (a) 0.21 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8141, 8043, 7943, 7841?\n\"Answer: -q**2 - 95*q + 8237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 r when three letters picked without replacement from vciiicrvvcvrv?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 49*v**2 + 100*v + 160. What is the remainder when h(-46) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 64.31. Let x = y - -0.01. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37151244 - 0.05\nAnswer: -37151244.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) -0.2 (c) 2\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57409 - 93407 = -8*p. List the prime factors of p.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/7))\/q)\/(q*q*q\/(q\/(q**(2\/5)*q)))*(q*q**1)**(-12)*(q*q*q**0*q*q)**(-34)\/((q**(1\/2)*q)\/q)**1 assuming q is positive.\nAnswer: q**(-11463\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.42 - -652228.92.\nAnswer: 652228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 8. Let b be i(0). Suppose 4*n = -152 + b. What is the common denominator of n and 13\/21 + (-4)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3\/401, -3580, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*v + 126*v + 344*v - 23*v + v**2 + 276*v in the form i*v + b*v**2 + y and give i.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u**4\/3 - 136*u**3\/3 - 19358*u**2\/3 + 19456*u\/3 - 1624 = 0 for u.\nAnswer: -42, 1\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose -2*j - 16 = -c*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*q**2 - 269*q**2 + 6*q**2 + 24*q**2 + 41*q**2.\nAnswer: -133*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o - 3. Is j(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21093.82073 + -21094. Let q = 0.37 - 0.55. Let o = q - v. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 + 4 = -2*o, 2*o + 2 = 5*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - 5*r)*(-13 + 107*r - 208*r + 105*r).\nAnswer: -4*r**2 + 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from jjccjchccoicjcii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*n - 5 = 13, -5*y = -2*n - 18. Let u be y\/3 - ((-387020)\/6)\/(-5). Round u to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -631*s + 1. Let f be i(-1). Let n = -4440\/7 + f. Is -2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117))\/sqrt(9) + sqrt(13))**2 + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 16. Let q = -1 + 16. Let x(d) = 1 - q + 13. Let y(u) = u - 1. Determine h*x(v) - 3*y(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21996 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11.18921 + 11676798\nAnswer: 11676786.81079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -25, -4, 3, 0, -2, 29 in ascending order.\nAnswer: -25, -4, -2, 0, 3, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-30*(102\/(-18))\/17. Solve 119*y - 117*y - b = -4*j, -3*j + 3*y + 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/168)\/(((-2535)\/70)\/13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -74145, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighty-five sixths of a minute?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 2. Let i(d) = -4*d + d + 2*d + 2*d. Let y(m) = -6*m + 1. Let z(k) = 4*i(k) + y(k). Determine -6*u(h) + 11*z(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/4 + 2*x**3 - 2*x**2 - 7*x - 3. Let q be 66\/14 + 10\/35. Let j be l(q). Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 22. Suppose -3*f + 2*h - 6*h + 7 = 0, -2*f - 5*h - 7 = 0. Let x be i(f). Solve -4*u + x = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -254, -380, -506, -632?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*i + 4*i**3 - 107*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = 8. Suppose 0 = -0*d + 4*d - 16. Suppose -8 = 4*v + 5*m - 103, -d*v + 74 = -2*m. Calculate the least common multiple of v and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/2, 0.2, -388393, -5, 2, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (8 + -26)) + -1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*u = -24 + 33, 28 = 5*r - 2*u. What is the closest to r in -58, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/27*(-3)\/2. Suppose -2*l - 3*z + 0*z - 4 = 0, -3*l - z = -w. Which is the biggest value? (a) l (b) -5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 594 in -0.4, 5, -64, -32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -5\/3, -83, -58, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3*y - o**3 - 15*o**2*y + 4*o**2 + 17094*o*y - 84844 with respect to y.\nAnswer: 2*o**3 - 15*o**2 + 17094*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.0517?\nAnswer: 0.2585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, -508, -2338, -4900, -8194, -12220?\nAnswer: -16978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 535, 3, -13.\nAnswer: -13, 3, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31175597521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.4. Let q be (-3)\/(-2)*(-2)\/(-9). Let c = -0.41 - -3.41. What is the biggest value in c, i, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8 = -12. Suppose 0 = 4*w + 4*n - 40, -3*n + 9 = w - 5. Let x = w - 1. Solve z - 25 = 5*z + 5*r, -z - x = m*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4728816 and 288.\nAnswer: 9457632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-2 + 62\/10))\/(((-882)\/(-273))\/(-42))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41747184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -192. Suppose -3*f + 2*g = 6*g - j, 5*g = -3*f + 102. Solve 3*q + 2 = 2*w, 3*w + 2*w + q + f = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2\/13 (c) -32 (d) 0.1 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((63280\/(-1050))\/(-113))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 131.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39c - -1?\nAnswer: -39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 256\/27123 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4735 is divided by 268?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-40) - (2\/(-10))\/(9\/18). What is the nearest to b in 0, -0.4, 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from gggggggvvgggvvgggg.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7*d - 30 = 3*d, 3*d = 3*i - 18. Solve 2*q - 1 = -i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d. Let b(p) = -3*p. Let j(h) = -7*b(h) - 2*c(h). Suppose 8 = -0*w + 2*w. Let u(k) = -2*k - 4 + w. What is u(j(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 10473 = 10443 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 159\/33 - 4\/(-22). Suppose -4*b - 2*t + 12 = 0, 597*b + 10 = 601*b + 3*t. Solve 0 = -k*u - 20, b*g - 2*g - 8 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681, -707, -747, -807, -893, -1011?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, 897663, -2.\nAnswer: -5, -2, 24, 897663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*h - 9, -3*n + 2*h = -0*h - 14. Suppose 7 = 2*c - p, -5*p + 6 = -n*c + 23. Factor -6*z - 3*z**2 + 4*z**3 + 6 - z**c - 6.\nAnswer: 3*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/29 or 20.848?\nAnswer: 20.848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1439, 2868, 4263, 5606, 6879?\n\"Answer: -3*y**3 + y**2 + 1447*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 less than 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshoosshooy. Give prob of sequence oys.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/(2\/(-48))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 1, o: 1, p: 2}. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d + 28. Let x be c(2). Let l(a) = 8*a - 6*a - x*a + 2*a + 1. Let o(n) = n + 2. Determine -3*l(h) + 4*o(h).\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - -8.1. Let s = q + -6. Which is the third smallest value? (a) 0.2 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - 71. Let f be t\/(-78)*(-8)\/(-14). Which is the third smallest value? (a) f (b) 2\/11 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, x: 2}. Give prob of sequence lll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i - 12. Give v(11).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**3 - 11*z**2 + 11*z + 16. Let b(x) = 2*x**3 - 2*x**2 + 2*x + 3. Let c(f) = 68*f + 542. Let l be c(-8). Calculate l*v(o) + 11*b(o).\nAnswer: 2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 354*x - 5880. Give f(16).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80537691 and 146120.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311\/6 + 52. Let y = 0.05 + -0.17. Let x = 0.08 - y. Which is the nearest to 3\/2? (a) x (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**(-28)*i*i*i\/(i*i**4)*i*(i**(-2\/3)\/i)\/i assuming i is positive.\nAnswer: i**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 24. Let u = 107.58 + -103. Let a = u - 0.58. What is the fourth smallest value in d, 1\/6, -5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u**(-2))**(22\/5) assuming u is positive.\nAnswer: u**(-176\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-952)\/12*3\/(-2). Suppose -3*h - 3*t = -5*t - m, 3*h - 3*t - 114 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 0*n + 3*n)*(-3*n + 0*n - 8*n + n + 2 - 2 + (-n + 2*n + 0*n)*(-1 + 5 - 3) - 2 + n + 2) in the form s*n + z + i*n**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 183*m + 6. Let c(u) = 2*u. Give s(c(h)).\nAnswer: 4*h**2 + 366*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 + -335.3. Which is the third smallest value? (a) 1\/4 (b) v (c) -7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:37 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -14, -2\/13, 5, 12.3, -2\/11, -2\/539, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = 3*w, 16 = 2*w - 2*m - 14. What is the highest common factor of w and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1182 (base 10) to base 6\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -463, -5, -26\/15 in ascending order.\nAnswer: -463, -5, -26\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00592711 rounded to five dps?\nAnswer: 0.00593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 + h. Let v(m) = m**2 + 2*m + 1. Let b be v(-3). Suppose -5 = g, -b*n + 9 = -3*g + 2*g. Determine z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1984*r**2*x**2 - r*x**2 + 132*r*x wrt r.\nAnswer: -3968*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 11*h**2 + 31*h + 26. Let y be r(8). Solve x = -3*k - 8, -5*k - 97 = -y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rcccrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:58 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 78. Let v(c) = -9*c - 156. Determine 5*p(s) + 3*v(s).\nAnswer: -2*s - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u**2 - 14*u - 16. Let p = 93 - 107. Let h be q(p). What is the tens digit of h\/(-20)*(-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1400749461 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2 - 8*c - 71. Let h be q(-5). Suppose 32 = 3*z - 4*f - h, 3*f - 56 = -2*z. Solve 21 - z = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 4*b**2 + 5. Let j be t(-4). Suppose 3*l - 24 = w - 4*w, -j = -4*l + 5*w. Suppose -3 = -2*q + l*q. Sort -5, q, -3 in decreasing order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from eeydeeeeveveeyervee.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.197 * 253.3.\nAnswer: 2582.9001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 6*k - 7. Let x(a) = 3*a**2 + 3*a - 4. Let i = -171 - -167. Let s be (-11 - -4) + -1 - i. What is s*p(n) + 7*x(n)?\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -441 + 913. Calculate the highest common divisor of f and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001111 (base 2) in base 15?\nAnswer: -4d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 3, c: 13}. Give prob of picking 2 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -14083 and -14083 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -281*h**6\/20 + h**5\/60 - 3*h**2 + 32. Let d(f) be the second derivative of s(f). Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34420160564 - 0.5?\nAnswer: -34420160564.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 12*g + 4*g)*(0 - 4 + 2)*(-3*g**2 + 5*g**2 - 5*g**2) + (2*g**2 - 4*g**2 + 4*g**2)*(-3*g + 4*g + g) - g**2 + 2*g**3 + g**2.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 2187822.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 5. Let q(z) = -z + 4. Suppose 4*y = -y. Suppose y = -h - 0*h + 3. Suppose i - 27 = 6*i - 3*o, 0 = -3*i - 3*o + h. Give i*q(c) + 2*a(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*x + 6*x. Let p(n) = 66*n**3 - n + 1. Let d be p(1). Suppose 4*u = 34 + d. Calculate the remainder when u is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*b - 81774856 - 120997027. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2634, -3151, -3670, -4191?\n\"Answer: -h**2 - 514*h - 2119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/2 + 2744*b - 12122.\nAnswer: (b + 1102)*(5*b - 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 21*v - 9. Determine o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 17*z**2 + 17*z + 21. Let b be f(-16). What is the second derivative of -3*i**2 - b - 22*i - 10 - 6 + 23*i - 4*i**4 wrt i?\nAnswer: -48*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*z**2 + 30*z**2 - 24*z**3 + (z**3 - z**3 + z**3)*(-4 + 0 + 6) - z**3 - 5*z + 5*z.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**5\/20 + 5*i**4\/6 + 5*i**3\/3 - i**2\/2 - i. Let u(r) = 3*r**2 - 28*r - 1420. Let y be u(27). Give j(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 + 717. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 1. Let k be v(4). Let y = 1 + -2. Let q = 2 - y. Calculate the greatest common divisor of k and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11) + sqrt(275))*-2)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 368\/80 - (-2)\/5. Solve 4*a - 3*i = -f*i - 10, 0 = -3*a - 4*i - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -1038, -1908, -3136, -4728?\nAnswer: -6690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322827?\nAnswer: 3, 191, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmnnnnnnnmcmnmnnmmn. What is prob of sequence ccnm?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 2265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**(-1\/2)*o)\/o)\/o)\/o*o\/(o*o**(2\/9)*o)*o)\/((o*o**(-5\/2))\/o*o\/(o\/(o*o**(-2\/9))*o*o)) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(605)*-1 - sqrt(605)) + (2*(sqrt(20)\/sqrt(4))**2 - sqrt(5))*5.\nAnswer: -27*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -288? (a) -2\/9 (b) -2 (c) 27\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2. Let h(s) = 3095782*s**2. Determine r(h(m)).\nAnswer: 38335464766096*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 33, 120, 241, 396, 585, 808?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -13425621.\nAnswer: -7\/13425621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.55 + -42. Let m = j - 0.05. What is the closest to 0 in 2\/43, -1, m?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11172017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = t + 2*o, -3*t = -4*o - 64 - 36. Calculate the remainder when 557 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*l - 45530 = -79940 + 45274 for l.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -7.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 14, j: 1, r: 1}. Give prob of sequence rjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000293881946 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4081.5487 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 549 + 13719?\nAnswer: 14167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1171560, -2343120, -3514680, -4686240, -5857800, -7029360?\nAnswer: -8200920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4315 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 30 = 2*u, -2*b + 66 = 3*u + 18. Suppose 2*p = 2, 7*w = 2*w + 4*p - 134. Calculate the remainder when (0 + 2)\/((-1)\/w) is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 12, -2*r = -21*h + 17*h - 1232. Suppose 5*i - 3022 = -p, 14*i + r = 15*i - p. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -147, -231, -331, -453, -603?\n\"Answer: -u**3 + u**2 - 70*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2840415 by 2840415.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(((-14)\/(-20))\/(-7)). Let v = -127 - n. Solve 0 = -v*s + 4*f - 2 - 1, -5*f = 4*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13448817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 12. Let w be a(3). Solve w = s + u - 4, 3*u = u + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2847*g + 738*g - 256141 = 134624 for g.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 92 - 33)*(19*q**4 + 5*q**4 - 2*q**4).\nAnswer: -2332*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*q - 4914 = 532*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -87*l**3 + 174*l**3 + 6*l - 14 - 86*l**3 - 3*l**2. Let o be d(3). Solve 18 = 4*j - t, t + o*t = -j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (2 - (-4 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l + 1. Let h(c) = 3*c**3 - 7*c + 7. Let n(f) = h(f) - 2*j(f). Let q(b) = -51*b**3 + 8 + 53*b**3 - 7*b - b. What is 8*n(t) - 5*q(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (-4*-2*sqrt(68) - sqrt(68)) + sqrt(68))\/(sqrt(256)*1 + sqrt(256)).\nAnswer: 9*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-99)\/6*(-48)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:39 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*z + w + 12, -3*z - w = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*j - 31*j - 66. Let x(t) = -t + 5. What is the lowest common multiple of (-11)\/(j\/20) + -4 and x(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 69579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (609\/(-140) + (-76)\/(-19))\/((-2)\/5)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 120562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 11:52 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31494 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (48\/(-6) - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -18, -46, -96, -174, -286, -438?\n\"Answer: -f**3 - 2*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.945ml in litres?\nAnswer: 0.467945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 180 (b) 1 (c) -1\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1372*n**2. Let v(i) = -496603*i. What is v(y(c))?\nAnswer: -681339316*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 166506 divided by 2\nAnswer: 83253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -76, -118, -174, -250, -352, -486?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 1140*v**4 - 260*v**4 - 388*v**4)*(0 - 5 + 6).\nAnswer: 492*v**4 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -77. What is the highest common divisor of 42 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 - -12 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**9*h)**12\/((h**9\/h)\/h*h**(2\/29)))**(1\/20) assuming h is positive.\nAnswer: h**(655\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253213851 by -11.\nAnswer: -23019441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f. Let p be (-14)\/4 - 5\/(-10). Let x(h) = -351*h. Let i(j) = p*x(j) - 104*g(j). Let z(a) = -2*a**2 - 1 - 6 + 7. What is z(i(l))?\nAnswer: -338*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -394 + 163*c + 794 - 164*c as q + b*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**2\/2 + 7*y + 3. Let i be t(-6). Calculate the highest common factor of i and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60827 and 18551?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**3 + 7*a**2 - 15 + 13 + 29*a - 7*a**2 + 2*a**4 - 3*a**2 to j*a + l + c*a**3 + n*a**4 + w*a**2 and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -277*c + 2. Let r be h(-3). Calculate the remainder when (-2)\/(-6) + r\/21 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = -2*a + 2, -3*a = -3*g + 12. Calculate the least common multiple of 8 and 0 - a\/(9\/30).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -168.1. Let r = 12 + m. What is the third biggest value in 0.4, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396.96 * -716\nAnswer: -284223.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -125058 less than or equal to -125058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*-1 - sqrt(20))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -53c348?\nAnswer: 53c34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79540 and 39770.\nAnswer: 79540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14444 - 28878 - 450*l + 14436 in the form u + i*l and give i.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-112)*7*3*(-28)\/(-48).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10400653\/2380270 - 2\/51745. Which is smaller: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*z - 47*z + 887490. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2 - 2)*(3 - 3 - j**2)*(72*j + 19*j**2 - 72*j).\nAnswer: 38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2. Let i(q) = -4094*q - 115. Let n(h) = -141*h - 4. Let c(u) = -4*i(u) + 115*n(u). Determine f(c(j)).\nAnswer: -25921*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 - 2*u + 11. Let d be a(5). Let z = 14 + d. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9925710, -19851419, -29777128?\n\"Answer: -9925709*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 18. Let o be a(-5). Let m be (3 - 2) + -2 - -1. Solve 17 = 3*b + 4*r + 1, -o*r + 3 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehsumsb. Give prob of sequence ms.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 22 = -3*y, -208*y = -213*y + 27*v - 113 - 177 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/320*-12*-5*(-5)\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 25 = 13. Let g = -16 - -34. Sort g, d, -5.\nAnswer: -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1230603 times 489\nAnswer: -60.1764867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000560110115 rounded to six decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouvloll. What is prob of picking 1 l, 1 o, and 1 u?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329ab (base 15) to base 10.\nAnswer: 160811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179312 is divided by 35744?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2587 = 4*z + 5*b, 4*z - 5*b = -z + 3245. Find c such that z*c + 32*c**2 + 29*c**3 - 567 + 19*c**3 - 3*c**4 - 302*c**2 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1038, 1034, 1030?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/2 + 2209*m**2\/4 + 2476*m + 1100 = 0. Calculate m.\nAnswer: -1100, -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -35) + 2 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 + 131390*v\/9 - 2630200\/3 = 0. What is v?\nAnswer: -65755, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68471 + -28618. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-105))\/((-4)\/(-120)*8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38558 is divided by 12850.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let w = -38 - -42. Suppose w*b - 3 = -s + h, -2*s - 8 = -2*b. Which is bigger: b or 1\/14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3421 - -3?\nAnswer: -341b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 54*i**2 - 218*i + 10. Calculate the remainder when 1148 is divided by o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459646903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/75 and -179\/29130.\nAnswer: 145650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 13) in base 14?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2708)\/(-6) - 64\/48. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + s - 5*s. Let p(q) be the first derivative of -5*q**3\/3 - 293*q - 1. Let c(h) be the first derivative of p(h). What is r(c(i))?\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16301 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a**2 + 1. Let b(r) = 24*r**3 - 3*r**2 + 9*r - 3. What is b(j) + 3*v(j)?\nAnswer: 21*j**3 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321021 (base 4) to base 5.\nAnswer: -104112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose 0 = w - 5*z + 15, k = z - 3. Suppose -w*m + 9 = -41. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 110 = 10*z - 8*z, t - 104 = 2*z. Sort 2, 3, z in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/l)\/l)\/l*l**(12\/7)*(l\/(l\/(l\/(l**(-23)\/l))))\/(l\/(l**(-19)\/l)) assuming l is positive.\nAnswer: l**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 86265347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12577344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**21\/(g*g**(4\/9)))**12 assuming g is positive.\nAnswer: g**(704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14024, -14028, -14012, -13964, -13872, -13724?\nAnswer: -13508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -834, -2518, -5772, -11136, -19150?\nAnswer: -30354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*n - 282 + 282 + (1 - 5 + 2)*(-n + 2*n - 2*n) to the form s*n + l and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 + 5*m + 6. Let y = -7 + 11. Suppose -y*u + 11 = -13. Let a be z(u). Solve -3*h - 11 = 4*g - a*h, 0 = g + 3*h + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**2*l - 3*d**2*y - 101*d**2 + 5*d*l*y + 41*d*y - 2*d + 2*l*y + l wrt y.\nAnswer: -3*d**2 + 5*d*l + 41*d + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74040 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (34 + -1)\/(6\/70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 5*y + 13, 0 = -q - 692*y + 696*y - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, z: 3, f: 3, x: 1, c: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117201?\nAnswer: 3, 7, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b + 2. Let j(o) be the second derivative of -o**6\/360 - 11*o**4\/12 - 24*o. Let d(n) be the third derivative of j(n). Give m(d(l)).\nAnswer: 8*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5088250194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 70, 145, 248, 379?\n\"Answer: 14*f**2 + 5*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4589, 18346, 41265, 73346, 114589, 164994, 224561?\n\"Answer: 4581*z**2 + 14*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 12. Suppose p = -0*k - 5*k. Suppose k = 3*g - 2*g - 10. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3291*(160155\/(-27) + 1*-2). Let w = j - 5217697. Round w to the nearest 100000.\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 3, -5 in decreasing order.\nAnswer: 3, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(20\/(-5))\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -8, i + 2*g - 11 = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 3. Let g be z(2). Suppose -2*h + g = -1. What is the units digit of h\/(-5) + (-32)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-16) + 223\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -637 - -649. Let k(r) = 8*r**2 + 5*r - 66. What are the prime factors of k(s)?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, g: 3}. What is prob of sequence rg?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 882, 3527, 7932, 14109, 22070, 31827, 43392?\nAnswer: 56777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1 take away 2.4?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 27*f**2. Let k(z) = 3*z**2 - 4*z + 2. Let a(r) = -7*r**2 + 10*r - 5. Let w(v) = 2*a(v) + 5*k(v). What is w(s(x))?\nAnswer: 729*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - d = 7, -2*d + 6 = -5*d. Let c be 4\/4 - (r + -4). Suppose -v + 6 = 3*l, 3*v + l + 2*l - 30 = c. Solve -v = 5*m - 2*m, -1 = -b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215 - 1502\/7. Let m = -1.5 - -2. What is the third biggest value in q, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 8}. What is prob of picking 1 b and 2 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 105. Let d be 2\/(-2) - a*-1. Is 4 a factor of 1\/(-1) + d\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j**(-7)*(j*j**(1\/3)*j*j)**(3\/7))\/(((j*(j\/(j*j*(j**(2\/3)*j)\/j))\/j)\/j)**(2\/19)\/((j*j**(-2\/9)*j)\/j**(-4))) assuming j is positive.\nAnswer: j**(2977\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/248, -1\/3, -1\/2, -7, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/248, -1\/3, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9255, -18512, -27795, -37116, -46487, -55920, -65427, -75020?\n\"Answer: -2*f**3 - f**2 - 9240*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -232, -344, -460, -580?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279049396.\nAnswer: 2, 69762349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1417*w - 702*w - 710*w + 4*h + 49, -4*w - 3*h - 35 = 4 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaauaaananauauaaa. Give prob of sequence nu.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v + 5. Let j(k) = -3*k - 4. Let q(z) = -5*j(z) - 4*r(z). Let p(l) = -l**2 + 3*l. What is -2*p(a) - 6*q(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 d, and 1 t when four letters picked without replacement from hqdbhqmdhmthdhdd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9) + 10\/(-6). Let g be h - ((-18)\/8 - -2). Let m = 3.6 + 0.4. What is the smallest value in m, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4)*k)**(-18)*(k**7\/k)\/k**23)**(-2\/65) assuming k is positive.\nAnswer: k**(97\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 919166189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -15*p + 17*p. Let j be p\/54*12\/(-45). Which is the smallest value? (a) -23 (b) -2\/13 (c) 2\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 4*a**2 + 5*a**2)*(a**3 + 0*a + 0*a) - 1643*a**2 - 2376*a**5 + 1643*a**2 + (4 - 4 + a**5)*(1 + 0 - 3).\nAnswer: -2379*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6748129994.\nAnswer: 2, 8861, 380777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22104 = -5*x + 8*x. Let q = x + 43032. Suppose q = -3*t + t. What is t rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 219 + 197 = 3*m, m = -5*j + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(171)*3 - (sqrt(171) - (sqrt(171) + sqrt(171) + sqrt(171)*3))*-4)\/(-2*(sqrt(324) - -1*(sqrt(324)*-1 + sqrt(324)))).\nAnswer: -35*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.5, -0.4, -2 in decreasing order.\nAnswer: 26, 0.5, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 24 - 24. Let s = -18 - h. What is the remainder when (-15)\/s*28\/6 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kokkok. What is prob of picking 1 o and 3 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + 2*o**2 + 2*o**2)*(-6*o + 9*o - 17*o).\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -34*c + 25. Suppose 4*k - n = 7*k - 1, -3*k + 5*n = c. Suppose -z - m + 4 = -k, 0 = m. Solve 6 = p + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.3 - 29. What is the smallest value in 1, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/14)\/(3\/(-6)). Let i = -5 + 4. Let x = 1 + i. Which is the nearest to x? (a) z (b) 2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-26)\/299 + 84188\/92.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z**3\/7 - 284*z**2\/7 - 368*z\/7 = 0.\nAnswer: -46, -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/5 + 811094*o\/5 + 24323820 = 0. What is o?\nAnswer: -405397, -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*d - 9, 4*d = 12. Suppose 2*o + 11 - 39 = i. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 - 19*g**3\/3 + 9*g**2 - 2*g + 88. Let n be r(18). Put 6, -4, -11, n in ascending order.\nAnswer: -11, -4, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 47*k**5\/20 + k**3\/6 - 3*k**2 + 127*k. List the prime factors of d(2).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.04. Let l = 0.1 - d. Let t = 38 - 41. Which is the closest to l? (a) t (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 35. Let m(n) = -4 - 9 - 2*n**2 + d*n**2 + 35 + 6*n. Is m(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 9*v**2 - 9*v + 14. Let p be w(-10). Suppose h - 66 = 2*y + 4*h, 4*y + 112 = p*h. Let c = -13 - y. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r - 3. Let g(p) = p**2 - p - 11. Let m(v) = 2*g(v) + 22*t(v). Factor m(l).\nAnswer: 2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {h: 1, y: 2, x: 1, k: 7, m: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -356 + 355. What is the second smallest value in 0.2, i, -2.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4279 less than -350796?\nAnswer: -346517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 9074*v + 45391. Give c(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1888, 3861, 5834, 7807?\n\"Answer: 1973*m - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*i + 217 = -94*i. Which is bigger: i or 213?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3322079.355 to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -66, -142, -246, -378, -538?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 7*t**2 + 2*t + 8. Let g be x(-6). Suppose -4*w + 8 = 0, -c - 6*w = -2*w - 264. What is the greatest common divisor of g and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/996229 and -139\/15366.\nAnswer: 5977374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 5, -4*o = 3*z - 19. Let g be (-4)\/(-6)*1 + 0. What is h in 0 + 2\/9*h**z + g*h**3 + 0*h - 2\/9*h**2 - 2\/3*h**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/4 - d**3\/6 - d**2\/2 - 7*d. Let v(r) = -r**2 - 1. Determine n(u) - v(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 2*v - 253, -2*y - 2*v + 512 = 0. Let a = y - 251. Let l(o) = 3*o - 18. Determine l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28994930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71974822*f**3 + 53598113*f wrt f?\nAnswer: -431848932*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2 - 1\/25*f**5 + 1\/30*f**4 + 1\/75*f**6 + 0*f**3 + 0*f**2 - 3*f. Let m(w) be the first derivative of h(w). Factor m(y).\nAnswer: 2*y**2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -32) + 2 + -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 38*n.\nAnswer: n*(n - 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34508504 and 16643?\nAnswer: 379593544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001288 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 648*l**5 + 141*l**2 - 2*l wrt l?\nAnswer: 38880*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 260*o**2 - 1767*o - 1004. Determine t(253).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 5091238.\nAnswer: 5091237.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o. Let l(i) = -16*i**2 - 3*i - 11. Let v = -22 + 23. Let f(r) = v*l(r) + 3*k(r). What is the derivative of f(q) wrt q?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 4*f - 2*f + (2*f - f + 0*f)*(-3 + 1 + 0) - 4*f + 3*f + 2*f + 2 - 2 + 2*f - 7 + 4*f + 7 + 643*f - 459*f + 279*f to u*f + g and give u.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:10 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, -5, -3, 1 in ascending order.\nAnswer: -230, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337.3 - 337.8. What is the second biggest value in 14, r, 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3355, 6709, 10229, 13915, 17767, 21785, 25969?\nAnswer: 30319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -559 * 4.0494.\nAnswer: -2263.6146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from usuuuwsusw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -545 - 15919.\nAnswer: -16464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, x: 10, e: 4}. Give prob of picking 3 z.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.3344 hours in milliseconds?\nAnswer: 2726403840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + c - 5000. Let u be 0\/(-23)*2\/(-4). Let j be d(u). What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f + 1. Let x(v) = 259*v - 10. Determine -5*c(o) - x(o).\nAnswer: -194*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 3*h + 400. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2956 = 400*j + 3017 - 7330 + 2557 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 620*g**2. Let q(y) = -12*y. Calculate q(h(p)).\nAnswer: -7440*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6277, 5994, 5229, 3742, 1293, -2358?\n\"Answer: -40*a**3 - a**2 + 6318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 9*i**3 + 14. Let g(d) = d**2. Determine g(m(q)).\nAnswer: 729*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p - 11*p + 9*p + (0 - 1 + 0)*(-5*p + 0*p + 3*p) + 6 - 6 - 3*p - 4*p + 2*p + p)*(5 - 1 - 2).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-3)*18\/(-5). Suppose -t + 54 = 4*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3655\/1452 - -8\/121. Let u = -81339804\/11 + 2921359517\/396. Let b = -17355 - u. What is the common denominator of b and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -217 - -253. Calculate the highest common factor of 276 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130031233203 (base 4) to base 8\nAnswer: 34155743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110323881.\nAnswer: 3, 12258209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32700, 32699, 32698, 32697, 32696?\nAnswer: 32695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = -3*w + 2*u, 3*w = u + 13. Solve -5 = 5*y - w*m, -5*y = 3*m + 4 + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 0*u**2 - 9*u**2 - 2*u**3 - u**3 + 2*u**4 in the form m + l*u + v*u**4 + s*u**3 + n*u**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1 + 8*c + 20*c - 4*c - 3*c. What is the remainder when 59 is divided by r(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500417 (base 11) to base 16\nAnswer: 2753a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*b**3 + 15*b**4 - 16*b**3 + 11*b**4 - 324*b**2 wrt b?\nAnswer: 624*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26+-48025\nAnswer: -48025.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938250851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(-5*t + 4*t + 3*t) + 1 - 2*t - 1)*(23*t**2 + 4*t**2 - 7*t**2).\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 161552 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slls when four letters picked without replacement from sllsss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.058*-0.1.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89404177.\nAnswer: 19, 227, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Suppose -3*u + 4*t - x*t = -10, -2*u + 20 = -4*t. Factor -r + r**3 + 0*r - r**u + r**4 + 0*r**2.\nAnswer: r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (5 - ((7 - 13) + 1)) - -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a factor of 215521946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*m - 55 = 0, 2*m = -583*i + 581*i + 20. Calculate the highest common factor of 565 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*y**3 - 1379*y**2 - 43*y - 3512260 wrt y.\nAnswer: -78*y**2 - 2758*y - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -61. Suppose u*f = 2*j + 2*f - 204, -3*f = -3. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(101640\/2200)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 - 0 - (-3)\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**3 + 79*d + 441*d + 11*d**3 + 38*d + d**2 as c*d**2 + k + t*d**3 + o*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7772, 15546, 23320, 31094, 38868?\n\"Answer: 7774*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 + 237*i - 7144. What is y(-38)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 555*c + 42688. What is b(-77)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/10)*m**20 assuming m is positive.\nAnswer: m**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7639, -16610, -25583, -34558, -43535, -52514?\n\"Answer: -q**2 - 8968*q + 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 197 - 3*y**2 - 29*y**2 - 200 - 19*y**2 - 12*y**2 as n*y**2 + p + h*y and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 82. Let o(r) = 3*r**2. Calculate o(c(n)).\nAnswer: 12*n**2 + 984*n + 20172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -165, -150, -111, -36, 87?\n\"Answer: 2*k**3 + k - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004973 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 5, v: 1, h: 1, l: 1}. Give prob of sequence vuh.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17846 by -8740.\nAnswer: -8923\/4370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 15*l**2 + 18*l - 50. Let m be g(14). Suppose m*s - 2*s = 5*f + 45, 0 = s - 2*f - 12. Calculate the smallest common multiple of 106 and s.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 + 156333776*w - 156333780 = 0. What is w?\nAnswer: -39083445, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3400 at least as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(1 - 0))\/(-1) + 8. Suppose -r*d + 30 = -15. Let i(f) = f**2 - 6*f - 18. Let u be i(9). Sort -1, d, u, 2.\nAnswer: -1, 2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017a (base 16) in base 13?\nAnswer: -47aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 9*x + 14*x - 100*x + 90*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/91)\/t*t)**(1\/2) assuming t is positive.\nAnswer: t**(1\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 6, u: 2, q: 7, p: 1}. Give prob of sequence uqu.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13110722663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 737, 1\/9, -0.1, -11\/3 in decreasing order.\nAnswer: 737, 1\/9, -0.1, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 times -3?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 322456*s + 644888. What is v(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - 3*v**2 - 1. Let w(x) = -4*x**3 - 4*x**2 - 1. Determine -6*g(j) + 5*w(j).\nAnswer: 10*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and -77\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 3*s - 2*s + (0 + 1 + 1)*(0 + 0 - s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*f + 66, 2*v + 3*f - 6 = 38. Is 22 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 4278352?\nAnswer: -1\/1069588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15892522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 409 - 415 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -4 - -4 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11892448?\nAnswer: 2, 371639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3467688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 100 = 32. Let x = d - -67\/2. Sort 0, 3, x in decreasing order.\nAnswer: 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n - 51 = 29*n. Let o(p) = p**3 + 3*p**2 + 3. Let c be o(-3). Differentiate -17 + 10*r**3 + 4*r**3 + 17*r**c - 8*r**n wrt r.\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 13*g + 1. What is u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.158 rounded to 2 decimal places?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119 - 119 + 44*a + (0*a + 2*a + 0*a)*(4 + 0 - 2) + (3 - 1 + 1)*(-3 + 4 + 0)*(5*a + 0*a - 2*a).\nAnswer: 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 2:43 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 + 11 = 0. Let g = -1 + 1. Suppose f*p + 0*x - 315 = 3*x, g = -p - 2*x + 87. Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 217?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**3 - 9*j**2 + 9*j. Let u(f) = f**2 + 1223*f - 1224*f - 32*f**3 + 31*f**3. Give 18*u(q) + 2*w(q).\nAnswer: -38*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372299966 divided by -42607.\nAnswer: -8738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 454 - 449. Let z = 9 - 6. Let j(q) = -z - 1 + 0 - q**2 - 2 + 6*q. What is j(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 12498*c**2 + 24933*c**2 - 12423*c**2 - 10*c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -24. Suppose -3*c + d - 13 = -2*o, -3 = -3*o - c. Find the second derivative of z - o*z + 0*z - 3*z + 2*z**4 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-207))\/((-3)\/18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + o + 84 = 0, -2*u - 141*o = -140*o - 42. Solve -u*g + 90 - 72 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 - (6 - 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 - (0 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(3 + 1*(1 + sqrt(343)) - (sqrt(343)*1 + 0 + -3)))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 23. Let w be d(-5). Solve -19 = -r - r - w*l, -r + 20 = 5*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 461013.9km?\nAnswer: 461013900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2000))\/(sqrt(1440)*-1))**2 - ((sqrt(16)\/(sqrt(8) + (sqrt(8)*2 - sqrt(8))) - ((-1*sqrt(162))**2 + sqrt(162))) + 0).\nAnswer: 17*sqrt(2)\/2 + 2941\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-12)\/(-6))\/(135\/(-18) - -9). Solve g*k = -7 - 13, -u - 2*k = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-8139225)\/(-10))\/47)\/((-3)\/(-20)). Round q to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/1)\/((-32)\/(-16)). Which is the nearest to 11\/5? (a) x (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (64999*16)\/4. What is l rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427\/2530 + -3\/230. What is the biggest value in x, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.75494 rounded to 2 decimal places?\nAnswer: -19.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227131417 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from yyyxhyhhiixpypihipi?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.1. Let a = -0.9 - 0.06. Let l = a + -0.04. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 37 + 51. Let b = 14 - 20. Let z(j) = -15*j. Let u(o) = 4. Let v(r) = -r + 3. Let w(a) = 3*u(a) - 4*v(a). What is b*z(q) + x*w(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588067 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 367*t**2 - 9*t**2 - 3*t - 793*t**2.\nAnswer: -1169*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 219*r**2*z + 3*r*z + 380*z wrt r?\nAnswer: 438*r*z + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -815a - -5?\nAnswer: -8155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -450*g**2 - 1 + 420*g**2 + 1 + 38*g wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0928404*-3\nAnswer: -0.2785212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 1311934?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from uuhhuuhhuuu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426 (base 8) to base 11.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 501?\nAnswer: -501.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by 8?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -690, -46, 5, -18 in descending order.\nAnswer: 5, -18, -46, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -186 or -5754\/31?\nAnswer: -5754\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 790.252 - 788. Let j = h + -0.162. Round j to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = f. Let o = 1 + 3. What is the smallest common multiple of o and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3897905?\nAnswer: 5, 11, 131, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.24 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (12 - 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 10, 0 = -d - 1265*m + 1261*m - 85. Is -64 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -22*n - 127. Let c be a(-6). Suppose -2*z + 5*r - 10435 = -3935, -c*z - 3*r = 16188. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 3879*c - 3883*c + 13, -4*c + 28 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 15*u + f = 130, -4*u + 148 = -5*f. Is (41531 - 1)*(u\/(-12))\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*s*t + 2*k**2*s + 965030*k**2 + k*s*t - 31*k*s + 3*k*t - 2*k - s - 383*t wrt k.\nAnswer: 2*s*t + 4*s + 1930060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004024 to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*r**2 + 6*r.\nAnswer: -3*r*(135*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.31 and -1115727.\nAnswer: 10387418.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14863, 14860, 14835, 14788?\n\"Answer: -11*a**2 + 30*a + 14844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204)*-4 - 5*4*sqrt(204))\/(-3*sqrt(1200)*1*-5).\nAnswer: -8*sqrt(17)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 7*n - 8. Let k be -1*(219 + (-8 - -16)). Let i = -221 - k. What is c(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1734 or -17337\/10?\nAnswer: -17337\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from iisisiisiiiiisiisiii?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 3*a - 3*a + 2*a - 172*a**2 - 5*a in the form v*a**2 + o*a + k and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 + j**2 - 3*j - 5. Calculate f(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*z - 10*z = -16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*d - 5 + (-2 - 2 + 5)*(-1 - 2*d + 1))*(-123*d - 564*d**2 + 249*d - 125*d).\nAnswer: 2256*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(-2\/21)*r)\/r)*r*r*r)**12*(r\/(r**(-17)\/r))**(1\/24))**40 assuming r is positive.\nAnswer: r**(52025\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -453\/3982?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959722 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5108292503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1 - -2 - 2). Let a(k) = k**3 + 5*k**2 - 5*k + 8. Let l be a(-6). Let r be (l - (6 - 3))\/13. Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220201 (base 4) to base 7\nAnswer: -10363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2887 to two dps.\nAnswer: 2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*g**2 - 66*g**2 + 3*g + 29*g**2 as l + j*g**2 + q*g and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 - 118*p + 1464 = 0.\nAnswer: -366, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (125 - 84 - -6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(223 - (-3)\/(0 - 1)). Let j = g + 403. List the prime factors of j.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 2*k**3 + 0*k**3)*(-k + 2*k + k)*(-k + 2*k + 0*k) - 9*k**5 + 6*k**5 + 12*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 10*u**2 + 9*u - 161. Give x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/(3\/(-45)). Is 8 a factor of 1*-2*45\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 85. Let g = z + 55.8. Let a = 3.2 + g. Put -0.1, 1, -0.2, a in decreasing order.\nAnswer: 1, -0.1, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*g - 4 - g**2 + 0)*(-6*g - 5*g - 8*g).\nAnswer: 19*g**3 - 38*g**2 - 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - (49 - 23 - (9 - -3))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(-462)\/924\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + y - 425 = 2*y, -y - 210 = r. Let u = r + 319. What is the remainder when u is divided by 4\/(-14) + 988\/28?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898904683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 9) to base 15.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 420*n**2 - 10368*n - 74752.\nAnswer: -4*(n + 16)**2*(n + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470053739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58122*v*z - 457*v + z + 193 wrt z?\nAnswer: -58122*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -888 - -890.0075. Let l = -6.7 + 4.7. Let k = d + l. Round k to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by -6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2796\/30 + (-29)\/145. Solve 24 = h*d - 105*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22291 greater than or equal to 22252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -41. Suppose a*l + 6 + 10 = 0. What is the tens digit of ((-3333)\/(-99))\/(1 + l\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*q**2 + 49\/3*q + 34.\nAnswer: -(q - 51)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 4*s + 0*s)*(-52*s**2 + 75*s - 75*s).\nAnswer: 156*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 854*m**3*s**4 - 2*m**3*s**2 - 27*m**3 + 82441*m**2 + 20630*s**6 wrt s?\nAnswer: 20496*m**3*s + 2475600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062017 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-18))\/((-7290852)\/(-85887))\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/20 + z**3\/6 - 7*z**2\/2 - z. Let c = -34 - -34. Give i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -4*m**5\/5 + 3*m**4\/4 - 112*m**3\/3 - 42. Find the third derivative of y(t) wrt t.\nAnswer: -96*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-162)\/(-15))\/(2\/20) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 0*p**3 + 0*p**3)*(0 - 2 + 0) + 2 + 2*p**3 + 3 + 0.\nAnswer: -4*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (-6)\/(3\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p**(1\/19) assuming p is positive.\nAnswer: p**(39\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*k + k = -13, -2*k = -5*t. Suppose 3*q = -t*q + 30. What is the third derivative of 4*m**6 + 9*m**q + 6*m**2 + m**2 wrt m?\nAnswer: 1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 11*q + 20. Let i be y(-5). Let a = 14 + 32. Let w = i + a. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + ((6 - 6) + 5 - 20)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -48*(0 - 1)*(-5 - 328\/(-2))?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 753 + -752. What is the closest to l in -0.2, 5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-40))\/(16321\/3019385)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3059\/8 = 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*d - 19*d + 322 + 2054 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*u - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(180) + 0 + -1 - (5 + sqrt(180) + -3)))**2 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 32793?\nAnswer: -32784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*8\/44)\/(21 - -1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3221*v + 3469*v - 9424 = 0 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0*y**3 + 0 - 15*y**2 - 18*y + 7\/3*y**4. What is the derivative of o(h) wrt h?\nAnswer: 56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + (1 + sqrt(432)*2 - -2*(sqrt(432) + -2)) + 3)**2.\nAnswer: -96*sqrt(3) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*g - 15 = 3*g, x = -5*g - 13. Suppose -4 = -x*u - 4*l, u - l = -2*u + 6. Suppose -7*w = -u*w - 185. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -10.9. Which is the closest to 1\/2? (a) u (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617 (base 13) to base 16.\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -m, -8 = -5*q + 3*m + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 f when four letters picked without replacement from {p: 2, f: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 736398.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*p - m = 1001*p - 106, -4*p = -4*m + 64 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232124 + -102413?\nAnswer: -334541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 140*l**2 - 1053*l - 13. What is the thousands digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/(k*k**(3\/13)))\/k))\/(k\/(k*k\/(k*(k\/(k\/k**(-6\/5)))\/k*k)*k)))\/(k*k**(-1\/2))**(-49) assuming k is positive.\nAnswer: k**(3631\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5 + 57\/5*s + 12\/5*s**2.\nAnswer: 3*(s + 4)*(4*s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + -0.14. Let x = s + 0.09994. What is x rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 2*s**2 - 2*s**2 + (s - s - s)*(s - s + s) + 3 - 3 - 2*s**2 + 2*s**2 + s**2 - s**2 + s**2 - 4 + 4 as d + h*s + p*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {g: 3, k: 9, h: 1, i: 6}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -ef7d8?\nAnswer: -ef7d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*c - p, 12*p = 5*c + 14*p + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 1, 0, -3, 4 in decreasing order.\nAnswer: 4, 1, 3\/8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 2*sqrt(117)*-2)\/(sqrt(900) - sqrt(9)) - (sqrt(2496) + -1*sqrt(2496))\/(-1*2*sqrt(3)).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*4*((sqrt(304) - 1*sqrt(304))**2*-4 - sqrt(304))*5 + 1.\nAnswer: 3 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66 - 67) + (-4)\/(-6). Which is the nearest to m? (a) -0.2 (b) 1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + (216\/(-32) - 2). Let b = -3 - -2. What is the biggest value in b, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -4. Let m = 27 - o. What is the smallest common multiple of 3\/2*10\/m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u. Let p = 28.966 + -27.566. Let j = -131\/160 + 7\/32. What is the nearest to 1 in j, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3941 + 3939 - c + 708*c**2 + 998*c**2.\nAnswer: 1706*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -88*b. Let i(l) = -8*l. Let w(m) = -3*f(m) + 32*i(m). Let s(v) = 4*v. Let d = -32 + 38. Calculate d*w(h) - 11*s(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v*v**4*v)\/v*v))**(5\/13)*(v**(-4\/9))**28 assuming v is positive.\nAnswer: v**(-1681\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101228598.\nAnswer: 2, 3, 5623811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*h**2 - 3*h**3 - 2280*h + h**3 + 2280*h.\nAnswer: -2*h**3 + 601*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -867 (base 15) to base 14\nAnswer: -997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + b**3 - 5*b + 17*b - 3 - 9*b + 4*b + 16*b in the form h*b**3 + x*b**2 + m + u*b and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**18*g*g)\/g)\/(g\/((g*g\/(g\/(g\/(g\/(g\/(g*g\/(g*g\/g**(12\/11)))))))*g)\/g)))\/(g\/((g*g\/(g\/(g\/((g\/g**(-18))\/g))))\/g)*g*g**(-4\/5)\/g*g) assuming g is positive.\nAnswer: g**(39\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51765 divided by -145\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*f + 1\/3 + 1\/3*f**3 - 1\/3*f**2 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 9*g**2 + 9*g + 7. Let w be h(-8). Let s = w - -6. Solve -s*d + 3*d = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248926372 a multiple of 3074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 0.06.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(952\/(-12))*6\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 11*k**2 + 10*k + 3. Suppose 0 = -7*q + 249 + 339. Calculate the lowest common multiple of a(10) and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -18998a4?\nAnswer: 1899904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.34 or 2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/24 - 4684*c**2. Let t(u) = u**2 + 197*u. Determine z(t(g)).\nAnswer: g**2 + 197*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 1192*d - 51958. Give i(245).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 7. Let v(x) = -14*x - 59. Let a be v(-5). Determine t(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + 3*sqrt(128) + -3)**2.\nAnswer: 96*sqrt(2) + 1159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -2*g + 5*s + 628, -2*g = -2*s - 972. Let p = g - 479. Factor -8*o + 8 + p*o**3 + 1\/2*o**5 - 7\/2*o**4 - 4*o**2.\nAnswer: (o - 2)**4*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 137 (b) -0.2 (c) -0.15 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3989065 to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n + 991. Calculate m(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4) - 42\/(-4). Let t = r - 17. Let l = 8 + t. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 0*r)*(-6*r - 12*r + 6*r)*(-17 + 12 - 16).\nAnswer: -504*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.4418 rounded to the nearest integer?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24*v**3 - 6*v**2 + 4. Let y be g(3). Find the common denominator of 16\/11 and 18\/117 + 662\/y.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366501 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4368 = 4*k, 4*m = -4*k + 9*k + 5459. Let l = -1969 - k. What is the tens digit of ((-6)\/(-2))\/((-57)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 3*l + 426. Let k be h(0). Find the common denominator of 113\/20 and 4\/24 + k\/360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 83 in -2.8, -0.08, -19?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10772?\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 r when four letters picked without replacement from rrvvjjvrjjjr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 169637*f + 169638. What is c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16080 and -35.\nAnswer: -562800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*r + 171 = 0, -6*r + 0 = -3*y - r + 174 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14072 + 584. Let y = -7025 - t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 734 - -9?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5754?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - (-4696)\/(-24). Let t = c + 200. Calculate the smallest common multiple of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141, 8, -213, -522, -919, -1404?\n\"Answer: -44*j**2 - j + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 18*h - 25*h. Let p = 3 - 1. Solve -9 = -f - p*f, h*f - 7 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1376*t**2 - 24*t + 13*t + 11*t.\nAnswer: 1376*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 7*u + 34 = 3*o, 4*o + 2*u - 52 = 0. Which is the closest to 0? (a) 1 (b) 3\/2 (c) -2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from ozozzzzzzzzjozzno?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -29*g**3 + g**2 - 5*g - 4. Let k(s) = 14*s**3 + 3*s + 2. Determine -4*h(w) - 7*k(w).\nAnswer: 18*w**3 - 4*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-3 - (-7 + 33)) - (20 + 2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**3 + 2*w**2 - w + 3. What are the prime factors of h(2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 11*r - 16. Let i be g(-9). Sort 1, i, -2 in ascending order.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 415 - 9?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*y + 105, 10 = -2*y + 3*j + 60. What is the third derivative of -m**2 - y*m + 5*m**5 + 31*m wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5997374372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 200 = 2*s + 3*s, 0 = -4*i + s + 135. Calculate the greatest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 185, 0.1, -4, -580\/127, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(720)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**6\/48 + 41*m**5\/60 - 2*m**4\/3 + 91*m**2 + 94*m + 2. Let a(g) be the first derivative of v(g). Factor a(c).\nAnswer: -c*(c - 16)*(5*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.138657303 rounded to four dps?\nAnswer: 1.1387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 37, 45, 45, 37, 21?\n\"Answer: -4*s**2 + 28*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -146955.1 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:45 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 10513160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let z(y) = 2*y**2 + 16752*y + 1. What is z(n(x))?\nAnswer: 8*x**2 + 33504*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_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: Factor 4*n**3\/13 + 378*n**2\/13 - 8284*n.\nAnswer: 2*n*(n + 218)*(2*n - 247)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from jhhpihlxjijjj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*t - 36, 5*t - u - 17 = 28. Suppose -l + 10 = 5*a - t, a + 1 = -5*l. Put a, -5, 2 in ascending order.\nAnswer: -5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/13)*u)\/u)\/u*u**5\/u*u*u*u)\/((u**(1\/6)*u)\/u**(-3\/8)) assuming u is positive.\nAnswer: u**(1679\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -25*m + 1430. What is the greatest common factor of 38 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 12*g**2 + 23*g - 22. Calculate d(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4301065 is divided by 22878.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417711.\nAnswer: 59, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {q: 2, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -127455 and -10829.25?\nAnswer: 116625.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 - 11*t - 9. Let n be z(-4). Let u(i) = i**3 - 3*i**2 + 9. Calculate the remainder when (-2 - 3)*12\/(-5) is divided by u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 329*a + 20375. What is s(-61)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283 + 538. Suppose 46*t = i + 43*t - 27, -3*i + 2*t = -11. What is the nearest to 0 in -1\/9, 0.4, i, p?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822795 divided by -9?\nAnswer: -274265\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 35. Let j be (-44)\/6 + (-3)\/(-9). What is the hundreds digit of m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-2\/7))\/u)\/u)**19*(u**1*u*u)**(1\/55))\/((u**(-2\/9)\/(u*u**(-5\/4)))\/(u*((u*u**(-2\/7)*u)\/u)\/u*u\/(u\/(u*u**(-2))))) assuming u is positive.\nAnswer: u**(-342169\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5055 - -85911\/17. What is the common denominator of 33\/2 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vww when three letters picked without replacement from wwvvwwv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83656 + 23494 = -37*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 80600496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) -0.17 (b) 2\/7 (c) -4\/5 (d) 2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 2934.\nAnswer: 105624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4972041*y**5 + 10511*y**2 + 93*y?\nAnswer: 298322460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 2*p - 9. Suppose 3*w - 14 = 7. List the prime factors of v(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -126\/19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0125680246 rounded to 6 dps?\nAnswer: -0.012568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9085*k + 554157. Give v(61).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 105. Suppose 5*p + 3*t = 172, 5*p + 4*t - 177 = 6*t. Let y = u - p. Solve 3*v + y = -0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1388 = -u - 0*u, -3*u - 930 = -2*m. List the prime factors of m.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moojoojdddodmoddomd. What is prob of sequence oddo?\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*z - 81088 = 0, -3*z + 166891 = -2*b + 4682. Round b to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 64. Let y be (-19)\/(-38)*-1*2*c. Is 30 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -3 + -3)\/(1 + 0). Suppose 5*a + 4*x = 14, 0 = a - d*x + 2*x - 4. Let n(f) = -7*f**2 + 7*f + 4. Let p(k) = 3*k**2 - 3*k - 2. Give a*n(u) + 5*p(u).\nAnswer: u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1*(1 - 0). Let w be -1 - -1 - 40\/c. List the prime factors of (-3)\/(-3) - w - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5 = -2*y, -14*y + 0 = -5*y - 4*f + 14 + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 6) + 6 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxhfxxxxxxffxxxx. Give prob of picking 1 h and 1 x.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -34\/7, -1\/7, 2\/9, 4, -0.009?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 162, -0.5, 12.9?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 27874?\nAnswer: 1616692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197089 (base 11) in base 16?\nAnswer: -1fa4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -59, -3 in ascending order.\nAnswer: -59, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**3 - 3*b**2 + 2*b. Let i = -7 - -4. Let u be d(i). Let q = u + -519\/4. What is the closest to 2 in q, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (4 + -4)\/5. Let p(a) = -a**3 - 5*a**2 - 6*a - 3. What is the units digit of p(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*j - 6 = -5*q, q + 4*j = 33. Suppose 16*x - 6 = q*x. Find the second derivative of -w - 4*w**3 + x*w**3 + w**3 + 7*w**3 wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39791?\nAnswer: 39791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*35\/(-112))\/(-14*(-72)\/672).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 183 = -5*a - 213, 3*z - 25 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72628, -145556, -218490, -291430, -364376?\n\"Answer: -3*p**2 - 72919*p + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 64 (b) -0.01 (c) 1 (d) 1\/6 (e) 3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -260*w + 339*w - 632 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**2 + 291*i - 1378. What is v(5)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssjujnsnjsn. Give prob of sequence suj.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00377 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11254, 11237, 11196, 11119, 10994, 10809?\nAnswer: 10552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Let l be 2\/9 - w\/18. Let b = 19 - l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1581\/21 + (-4)\/14)*1. Calculate the greatest common divisor of k and 1875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0, -25, 3, 5 in descending order.\nAnswer: 5, 3, 0, -25, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 6. Suppose 3*p - 20 = 2*p. Let w = p - 19. Let y(m) = -m + 1. Calculate w*x(c) + 4*y(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -9, -11, -13?\n\"Answer: -2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 465 = -0. Let v(c) = 3*c**2 - 92*c + 185*c - u*c. Let o(t) = 10*t - 4*t + 2*t. Determine o(v(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 59, -75, -209?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.459 + -0.059. Let l be 40\/(-72)*(-1)\/(-5). Does l = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -499704?\nAnswer: 499696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1.45?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and 16.8.\nAnswer: -705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -63.99999535. What is g rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 7. Suppose 5*z - 21 = 2*w, 3*w = 3*z + 2*z - 24. Let g(m) = m - 8. Let i(a) = w*v(a) + 2*g(a). What is the derivative of i(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -2\/15, -0.1, -4, 4, 17, 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 15 = 3*c, 3*t = -c + 43. Let y(g) = -g**3 + 3*g**2 + g. Let h be y(2). Let v = t - h. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5420029 + 77319.\nAnswer: 5497348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*z - z = 49, -z + 29 = w. Let s = 56 - w. What is the remainder when s is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 12 = -4*w. Let j be ((-284)\/(-6))\/((-40)\/60). Let q = 111 + j. What is the greatest common divisor of q and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19723088981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n**(-5\/3)*n)\/n*n)*n*n\/(n\/n**30)*n**(-2\/41)*n\/n**(-1\/3) assuming n is positive.\nAnswer: n**(1392\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 3\/((-6)\/4). Find the third derivative of m - 2*q**6 - 2 - q**2 + 0 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60399855443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349\/5 - 70. Put w, -2\/9, 5 in decreasing order.\nAnswer: 5, w, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12026 and 2047830.\nAnswer: 2035804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3181 or 2789?\nAnswer: 2789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d4bc (base 15) in base 2?\nAnswer: -1111010001101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2) - (-5)\/10. Suppose -3*b = -y - 11, 1 = d*b - 2*b - 3*y. Suppose b*c - 3*c - 11 = 0. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.5622421 to 1 dp.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88454294.\nAnswer: 2, 2659, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 610771, 1221533, 1832295, 2443057?\nAnswer: 3053819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) - 552\/39. Suppose -2*t = 5*x - 126, 3*x + x - 108 = -4*t. Let u = x + p. Calculate the greatest common factor of u and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 2)*(23887 - 47771 + 1373*t**3 + 23884).\nAnswer: 6865*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*z + 4*v = 191*z - 2994, -2395 = -4*z + 3*v. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**5 + 4184935*f**4 + 47*f - 166065 wrt f.\nAnswer: 60*f**3 + 50219220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/((-48)\/12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526 (base 8) to base 2.\nAnswer: 101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12397 and 76\/99?\nAnswer: 111573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u + 16. Let l be h(0). Let q(c) be the first derivative of c**4\/4 - 5*c**3 - 11*c**2\/2 - 21*c - 2. What is the tens digit of q(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.00567 and -1.4.\nAnswer: -12.40567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 = -x. Let a be -4*6\/(-8) + -3. Solve -c - c - x*r - 14 = 0, -5*c - r - 23 = a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/5 - 21*q**3\/5 + 1372*q\/5 = 0.\nAnswer: -7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 70000.41 nanometers?\nAnswer: 0.07000041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2187\/1756 - -2\/439. Let u = 15 + -6. Let i = -13 + u. Which is the second smallest value? (a) r (b) 3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 961094, -2, 0.4, 2 in descending order.\nAnswer: 961094, 2, 0.4, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyccggeocoggccec. What is prob of sequence co?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -292 (c) 4\/7 (d) -0.06 (e) 0.5 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 11\/13) + (-143)\/(-169). Let k be (a + 11\/(-10))*(-320)\/240. Let q = 2 - 0. Put k, q, 15 in ascending order.\nAnswer: k, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5139952ml in litres?\nAnswer: 0.0005139952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 3.4 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-54) - 22\/(-12). Let k(h) be the first derivative of -3\/5*h**5 - h**n + 1\/3*h**3 + h**4 + 1 + 0*h. Solve k(v) = 0 for v.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*t + 761*t = 1070*t - 19765 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 + 334 - (0 - (-58 + -2 - (2 - 5)))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.08525826 - -255.08527346. Let o = z - 253. What is o rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95068571 or -95068578?\nAnswer: -95068578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 4, p: 3}. Give prob of picking 3 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624 and 22096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22082 (b) -26\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0527 - 267.9473. Let z = -268.000429 - f. What is z rounded to five decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79, 80, 83, 88, 95?\n\"Answer: d**2 - 2*d + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001110001101111010 - 11?\nAnswer: 101000001110001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13966263 or -13966280?\nAnswer: -13966280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4745770 to the nearest 10000.\nAnswer: 4750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3462 + -1626. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24*2\/6*2. Suppose -14*a + 17*a + 255 = 0. Let f = -101 - a. Is f not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-4\/29)*h**(-3)*(h\/h**(-2\/17))**(-38) assuming h is positive.\nAnswer: h**(-21856\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.47 - 820.451.\nAnswer: -889.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3675, 8, 1\/8, 4 in descending order.\nAnswer: 8, 4, 1\/8, 0, -3675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02269375 rounded to 5 dps?\nAnswer: 0.02269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18*n**3 + 6*n**2 - 4*n + 7. Calculate p(2).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**4\/24 + 13*b**3\/6 - b**2. Suppose 12 = -6*f + 42. Let c(a) = a**2 - 8*a + 15. Let u be c(f). Determine v(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*p + 137*p + 274*p + 42*p + (1 + 0 - 2)*(-3*p - 4*p + 6*p) - 5*p + 4*p + 3*p + p + 2*p - 4*p to v*p + z and give v.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**7\/840 + i**6\/360 + 203*i**4\/24 + i**3 + 3*i. Let p(z) be the second derivative of n(z). Is p(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*f = 1142, 0 = -t + 5*f - 81 - 182. Let y = 381 - t. What are the prime factors of y?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 128*h + 1029 = -291. What is the smallest common multiple of h and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17784 and 64.\nAnswer: 142272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -30, -94, -184, -300?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.42, 3, 11867, 0.3?\nAnswer: 11867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -474, -437, -366, -255, -98, 111, 378, 709?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 6. Let j(c) = -12 - 19 - 23 + 3*c + 41. Calculate -9*g(n) - 4*j(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1124 + 666?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89166 and 64783152?\nAnswer: 712614672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 4*i + 9. Let a be o(0). Put a, 5, 13 in descending order.\nAnswer: 13, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 12*i**2 - 25*i + 208. Is v(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3889896.4271 and -2751.\nAnswer: -3892647.4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.07 - 44.93. Put u, 1.8, -4 in decreasing order.\nAnswer: 1.8, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3. Let q = -23 - -25. Put q, 4, d in decreasing order.\nAnswer: 4, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6200.1 + 6299. Round x to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:08 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.1, 6, 2, -1 in ascending order.\nAnswer: -1, -0.1, -0.08, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -340.2 times 1\nAnswer: -340.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17315255 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(684) + -3 + -5 - sqrt(684)) + 0)**2*4.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(2\/49))\/(t\/t**8))**(-28))**(5\/8) assuming t is positive.\nAnswer: t**(-2195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 + 59 - 65) + -83.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 2*j + (-j + j + 2*j)*(1 - 2 + 3))*(5*j - 2*j + 2*j + (-2 - 1 + 5)*(-4*j + j + 4*j)).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*c = -42, -5*b = -b - c - 44. Let p(j) = j**3 - 4*j**2 - 6*j + 2. What is the remainder when p(6) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:23 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*c + 1475*c = -152 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4341 * -6097.\nAnswer: 26467077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1836 and 26?\nAnswer: 23868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 1 - 3*s + 6*s - 2*s**2 - 4*s + s**4 to the form j*s**3 + p*s**2 + x*s + c*s**4 + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 82. Let o = g - -23. Suppose 39 = 7*u - o. Solve c + 2*c = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 37*c**2 - 79*c - 194. What is r(-3)?\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*r + 2 = 0, 4 = u + 15229*r - 15224*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 658 - 405. Suppose -5*q + 12*z - 7*z = -860, -656 = -4*q - 4*z. Let k = q + -145. What is the highest common divisor of k and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 62394*y**3 - 16*y + 11. Let a be h(3). Suppose -6924601 + a = -8*m. What is m rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose -z - l = z. Is (z - 4\/(-3))*285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13460*t - 26304 = 13452*t. What is the highest common divisor of t and 685?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (0 + -1) - (-43 + 98 - 67)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {v: 1, u: 1, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -11. Suppose t = -4*m - 3*q, m + 5 = 4*q - 18. Let v(z) = z**3 + 6*z**2 - 7*z + 3. Let c be v(m). Solve 3*h - 4*g = -g - 6, -c*h - 5*g = -18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -41)\/(324\/45 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -447\/646 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -37*i**2\/2 - 7828. Let b(l) be the third derivative of l**5\/30 - 3*l**2. What is h(b(w))?\nAnswer: -74*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c + 3. Calculate the remainder when y(-8) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2190, 4357, 6490, 8589?\nAnswer: 10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 41 (c) -3 (d) -5 (e) -53 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by (1\/((-2)\/(-3)))\/(45\/240) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/40*-42*9\/(-81)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 11. Suppose 8*p = -3*c + 3*p - 166, -c - j*p = 60. Let d be 8\/c + (-372)\/(-52). Solve 2*v - g = -d, v + 2*g + 4 + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/14 and 103\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:06 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7 - -11) + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -563 + 301. Let r = -118 - u. Suppose -r = 11*p - 2179. List the prime factors of p.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rar when three letters picked without replacement from qqfiriqqaqqarqaaaai?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 4*z**2 + 5*z + 1. Let o be a(-1). Let 27 - 17 + 5 + 39*u + 24*u**o = 0. What is u?\nAnswer: -1, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-20) - 4) + 10\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30550\/2600 - 1*1\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 6*f - 7, v + 18*f = 20*f + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 852308670478 + -0.2.\nAnswer: 852308670477.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 102112112001120?\nAnswer: 102112112001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65153 and -1.86.\nAnswer: 121184.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 18. Suppose -2*r = 2*r + s. Let o be (-1 - 12)*9 + r. Round o to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 55 - 1997 = -53*p, -2*q - p + 45 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = 4*f, -4*j + 1 + 15 = 2*f. Suppose -4*c + t = -1, c - 6*c - j*t - 4 = 0. Let n be 11 + 5*(-8)\/8. Solve k + 2*k - n = c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*i + 145806 = 0, 0 = 27*q - 29*q - 4*i + 58332. What are the prime factors of q?\nAnswer: 2, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83660 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20924 (base 10) in base 7?\nAnswer: 115001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 421*b**3 + 3*b**2 + 3. Let x(o) = -1263*o**3 - 8*o**2 - 8. Give -8*v(h) - 3*x(h).\nAnswer: 421*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2716.358 nanograms to grams.\nAnswer: 0.000002716358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/(k\/k**(1\/4)*k))**(-16))**30 assuming k is positive.\nAnswer: k**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4))**(3\/29)\/(b\/(b**(-1\/2)\/b*b))**(-1\/12) assuming b is positive.\nAnswer: b**(47\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + -151. Calculate the highest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 105\/10*12\/18. Sort -5, w, -8, -0.1.\nAnswer: -8, -5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from {x: 2, y: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*y - 56*y + 21*y = 416 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101011 + 10?\nAnswer: -11100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229\/28069 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -20, 5*k + 97 = -2*h + 73. Let c(l) = -40*l**2 + 11*l + 5. Let i(d) = -8*d**2 + 2*d + 1. Give h*i(m) + 4*c(m).\nAnswer: 16*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1122, -2\/9823, -0.5.\nAnswer: -3, -0.5, -2\/9823, 1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - k + 60 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-69))\/(1\/(-3)*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 552, 2347, 5394, 9699, 15268, 22107, 30222, 39619?\n\"Answer: j**3 + 620*j**2 - 72*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 1581*v\/4 - 85104.\nAnswer: (v - 192)*(v + 1773)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7163*o. Let v(m) = -2*m. Calculate b(v(d)).\nAnswer: 14326*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = -19*r + 3440. Calculate the remainder when r is divided by 84.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 e when three letters picked without replacement from eqiioiiiq?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -822. Let s = l + 1415. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1347 and 5181.96?\nAnswer: 3834.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742339 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgggqggqqqqqyy. Give prob of picking 1 g, 1 q, and 1 y.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2346803, 2346815, 2346827, 2346839, 2346851, 2346863?\nAnswer: 2346875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -131\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7543.31 nanoseconds to milliseconds.\nAnswer: 0.00754331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -447*h**5 + 2246*h**2 - 2*h + 2. Let v(i) = -i**5 - i + 1. Let d(m) = -2*v(m) + w(m). What is the third derivative of d(s) wrt s?\nAnswer: -26700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230002 - -11?\nAnswer: -224441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -s - 17, 251*k + 89 = -5*s + 225*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -219\/12422?\nAnswer: -219\/12422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l**2 + l + 1. Let b(c) = 20*c**3 - 15*c**2 - 15*c - 15. Suppose 0 = 8*r - 56 - 64. Give r*t(d) + b(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -50, 2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 3*g - 1 + 3. Let y be 891\/189 - (-4)\/14. What is the tens digit of n(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -263879 and -5.\nAnswer: -263884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*t + 371*t + 370*t + 369*t - 1833*t + 364*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 - 4 - v**4 + 2 + (-2*v**2 + 5*v**2 + v**2)*(v**2 - 2*v + 2*v) - v**4 - 3*v**4 + 5*v**4 to b*v**2 + u + t*v**4 + i*v**3 + x*v and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 7*r**2 + 10*r + 6. List the prime factors of m(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + (-12 - 3) - (6\/(-1) - 0). Factor r*w**3 + 0*w + 4\/7 + 4\/7*w**4 - 8\/7*w**2.\nAnswer: 4*(w - 1)**2*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.155986m?\nAnswer: 155.986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i - 6*i)*(-461339*i + 461337*i + 82 + 3376).\nAnswer: 4*i**2 - 6916*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*9\/((-720)\/(-128))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 4389?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5057\nAnswer: 5\/5057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w - 3. Is z(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12131310 (base 5) to base 8.\nAnswer: -337624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x - 3 = 0. Let g be (-14)\/(3\/(6\/4)). Let j be 4 + g - 34\/(-18). Which is bigger: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1533455 times 0.5?\nAnswer: -0.07667275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, 2, -69.29, -0.04, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2659, 2660, 2661, 2662?\n\"Answer: i + 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 10) to base 7.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-48840)\/(-80))\/(-111).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b + 2. Let f(j) be the second derivative of -5*j**3\/6 + j**2 - 7*j. Let v(n) = -2*f(n) + 3*w(n). Let z be v(-1). Solve 25 = z*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.99 + -88. Put 0.1, -3, l, 3\/5 in ascending order.\nAnswer: -3, l, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, -3, -7, 0, 2 in descending order.\nAnswer: 9, 2, 0, -3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 0*c - 1500 = 0. 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: Let q = -1 + 2. Let i(k) = 2*k**3 + 10*k**2 + 5*k - 9. Let n be i(-4). Solve q = -w - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32303503 is divided by 126.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*a = 4*i - 315, -20 = 6*i + 5620*a - 5618*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y. Let c be v(-1). Let b = -10 + c. Solve 2*u - u = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n + 5*n)*(-2*n**4 + n - n + (n**2 - 5*n**2 + 3*n**2)*(-5*n**2 + 2*n**2 + 2*n**2) + (-n**3 + 0*n**3 + 0*n**3)*(3 - 3 - 2*n)).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 4365064?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 79205*t**2 + 193793040*t = 0. What is t?\nAnswer: 0, 3024, 12817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 - 14*a**3 + a**3 + 6*a**3 + 1 - 75*a + 5*a**3 in the form v*a**2 + j*a + t*a**3 + d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:07 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9926480490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 29\/(-2))*2. Suppose -2*u = 9 - c. Let m(p) = -p**2 + 6*p + 54. Let x be m(-5). Put 3, -5, x, u in descending order.\nAnswer: u, 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 330. Suppose -2*u = u + 6*u. Let z be b(u). Let o(r) = 4*r**3 - 2*r**2 + 3*r. Let y be o(2). Calculate the highest common divisor of z and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 2*n**2. Let f be u(-2). Let l be 0 + 2\/2*0. Suppose 4*o + f - 1 = y, l = 4*y + 2*o - 14. Solve -2*z = y*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -408182.8 and -36878.\nAnswer: -445060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = t + 3*d + 424, 1246 = -3*t + 2*d. Let u = t - -418. Solve 0 = 9*m - u*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723 = -y - 5*m + 758, 5*y + 3*m = 65 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*t + 102659996, 2*t + 77885767 = 4*v - 58994231. What is v rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g - g)*(-2 + 5*g + 2) + (5*g + g - 2*g)*(-5*g + g + 5*g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/15)\/((-4)\/6). Solve 5*c + 1 = r*c - 5*u, 0 = -5*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/60 + 3*j**4\/8 + 7*j**3\/6 + 5*j**2. Suppose -10 = -h - 1. What is the units digit of a(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2*l = -4*s - 12, -3*s = -3*l + 6. Let w(z) = z**2 + 6*z + 7. Let b be w(-5). Solve -s*d - 2 - b = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/41 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2257 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + w - 8, 2*d - w = -0*d. Let u(i) = -5*i + 5*i + 46*i**2 - 35*i**d. Let h(r) be the first derivative of r**2\/2 + 2. Give u(h(o)).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:58 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 + 30*p - 156 - 87*p.\nAnswer: -57*p - 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000b (base 13) in base 6?\nAnswer: 2240543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*n + 13*n - 17*n)*(1 - 3 - 3)*(4*n - n - 4*n).\nAnswer: -115*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**2 - 3*p**2 + p**2)*(-5*p + 2*p + 2*p)*(-3*p - 3*p - 8*p) to the form c*p**3 + j*p + r*p**2 + n*p**4 + v and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, x: 6, g: 2}. What is prob of sequence gl?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 - 0.69. Let d = -149.59 - -150. What is the third biggest value in d, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 495?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.031, 345, -0.4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 9 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/((1*sqrt(50))\/sqrt(5)))**2 + -1 + 5 + 2*sqrt(13).\nAnswer: 2*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7 = 3. Let o(c) = 7300000*c**2 - 1. Let m be o(u). Suppose 2*f = -j + 8514774 + 3165227, 0 = 5*f - j - m. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8150 = -5*t - 6*j - 8068, t - 20 = -3*j for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let f(b) = b. Let l(v) = -4*f(v) - 5*k(v). Let q(t) = -19*t. What is q(l(u))?\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30310 divided by -70.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by (120\/180)\/(3 + 952\/(-318)).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 192 = 37*v. Suppose 2*d - 2*k = 3*k + 55, -d - 2*k + 23 = 0. Let z = d + v. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/63*(-2)\/6 - (-21296176)\/1188 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 1 + 4*a**2 - 2*a - 4*a**2. Determine i(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - -2 - -18) + -102?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*z**3 + 2*z + 8?\nAnswer: -15*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6, 13, -30, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 29*k**3 + 3*k - 16*k**3)*(-2*k + 2*k + 2*k)*(4 + 0 - 6) in the form b*k**2 + x*k + g + p*k**3 + s*k**4 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -12.83. Let s = -0.1699864 - b. What is s rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -825, -105, -5 in decreasing order.\nAnswer: -5, -105, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2582 + -2580. Solve -y = 57*p - 59*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1\/2)*280\/105?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/56)\/(4\/(-6)))\/(-22*31\/2387).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 9) to base 11\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*p = 41 - 133, -5*q = p - 505. Calculate the remainder when q is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.86 - -0.14. Let a = -8.2 + o. Let i = -0.308 + -0.292. What is the biggest value in a, 2\/15, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3 - 111*s**2*u*y**2 + 33*s**2*y + 20*s*u*y**2 + s*u + 70137*u - y**2 + y wrt s.\nAnswer: 24*s - 222*u*y**2 + 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -545 + 795. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -12. Are y and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*k - 95*k = -1080. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/69, 4, 0.2 in ascending order.\nAnswer: 2\/69, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 169015.24 to the nearest one hundred.\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36504 - 7128 = -612*u for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*x - 1 + 36, 4*a - 14 = -2*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39033.\nAnswer: 3, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11431901 - 6*f**2 + 11431901. Let v(q) = -177*q. Calculate v(z(o)).\nAnswer: 1062*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooj when three letters picked without replacement from jozwo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2.6, -7 in decreasing order.\nAnswer: 0.5, -2.6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1982 divide 46749674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -7*o + 3*j + 5, -5*j - 25 = 0. Let t be (-68)\/(-144) + 3\/(-12). Which is the nearest to o? (a) -3 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - (2 + (-15 - 2)). Solve -5*n = 23 - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/9 + 49384*x**4\/9 - 49372*x**3 + 148104*x**2 - 148098*x = 0 for x.\nAnswer: 0, 3, 24683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1\/(-42)*3). Let j = 21 - c. What is the common denominator of 30\/11 and j\/70 - (2 + -5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 139*v - 76 + 316 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6086692 to the nearest integer?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 740.1 - 740. What is the closest to 1\/2 in -0.2, 18, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -279 - -262.3. Let q = 17.7 + d. What is the biggest value in -10, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8019784 and 27\/6976?\nAnswer: 64158272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*l**3 + 20*l**2?\nAnswer: -1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -6*z - 62 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p**2 - 29*p + 1796. Let b(j) = 19*j**2 - 46*j + 2693. Determine -8*a(o) + 5*b(o).\nAnswer: -o**2 + 2*o - 903","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/6)\/((-2)\/12). Let n = w + 13. Suppose -4*s - 181 = -5*k, 7*k - n*s - 185 = 2*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 47.1. Which is the biggest value? (a) -1 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172918181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 17*w - 84 = -22*w. Suppose 7*y = 3*y + 8. Let k(h) = h + 4 + 3*h**y + h**2 - 5*h**2. Determine k(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*u + 8. Suppose -u*j + 113 = 33. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*n**2 - 15*n**2 - 7 - 42*n**2.\nAnswer: 5*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2647324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -94. Let g = h - 24. Suppose -180 = 3*b - g*b. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4123032 (base 5) in base 15?\nAnswer: -14de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7404805241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**3 - 6*x + 0*x - 4*x**3.\nAnswer: -37*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58333\/7 - -323723\/28. Let l = h - 3209. Calculate the common denominator of -73\/18 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10 - 10) + -5 + 7)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365.755 + -365.7. Is -16 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -8 - 6 - -6) + 0 + 0 + 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/119 and 41\/37417.\nAnswer: 261919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43059\/1389*((-2)\/(-1))\/(-12).\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*z - 37558 - 78617 = -2555*z - 19785 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -174, -192, -210?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.6 - 5. Let o = i + 0.4. Let b(h) = 41*h - 380. Let r be b(9). Sort r, o, 0.3 in ascending order.\nAnswer: r, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 96. Let a(b) = b**2 + 7*b + 7. Let c be a(-8). Solve -4*i + c = i, -z*f + 2*i + 2 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 + 2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 103?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9)\/((-3)\/(-27)). Let d be 23\/7 - i\/21. Suppose -4*x - 5*q - 3 + 0 = 0, -18 = -2*x + 4*q. What is the greatest common divisor of d and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -300. Suppose -d = -w + 757. Let v = -337 - d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 26 - 25 = 0, -c = -3*s + 212. Which is smaller: 73 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1 + 0)*0. Find c, given that 3 - 4*c**2 + v - 9*c + 0*c - 5 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834.65 litres to millilitres.\nAnswer: 834650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(637)*-1)**2 + sqrt(39)\/(sqrt(75) - sqrt(3)) - (sqrt(52) - 5*(-1 + sqrt(52) + sqrt(52)))).\nAnswer: 73*sqrt(13)\/4 + 632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 14*a**3 + 60*a**2 + 12*a + 17. Let h be d(-4). What is the highest common divisor of h and 1320?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 + 18.24. Let h = 17.91 - r. Let p = h - -0.08989. What is p rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93c0 (base 13) in base 11?\nAnswer: -14399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*m + 1)*(-754*m**3 - 928*m**3 + 404*m**3).\nAnswer: 2556*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000456205991 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-7)\/5)*51\/102. What is the closest to 1 in -3\/4, j, -1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556929 (base 10) to base 7.\nAnswer: -4506462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2507248872 divided by -6\nAnswer: 417874812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.3 + 7.32. Are z and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.1 + 6.7. Let x be (1 - 3) + (-4 - (-60)\/9). What is the second biggest value in x, 2, v, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -32418715.\nAnswer: -162093575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2897 (base 15) to base 16.\nAnswer: 21f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1194*n**2 - 2432*n + 42. Give o(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*l - 21, 2*i - 2*l = 30 + 26. Let y = i + -21. Let u be (-7)\/4 + y\/(-8). Which is greater: u or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 18. Let q be p(-4). Let o be ((132\/(-224))\/(-11))\/(q\/(-413)). Let b = 937\/16 - o. What is the common denominator of 49\/3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5173928707 to the nearest integer?\nAnswer: 71930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 72?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2136, 4243, 6308, 8325, 10288, 12191?\nAnswer: 14028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(72)*2 - (-1 + sqrt(72) + 2)) + 4*(sqrt(72) - (sqrt(72) + 3 + sqrt(72) + 1 + sqrt(72)) - sqrt(72))*-1)**2.\nAnswer: 1872*sqrt(2) + 12312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*h = -57*h - 103 - 2640 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 23 + -10 - (10 + -29 - -38)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 a when four letters picked without replacement from {j: 1, a: 4, g: 2, r: 1, d: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12) - (5*sqrt(72)\/sqrt(6) - sqrt(12))) + -1*(2 + sqrt(108)) + 0)**2.\nAnswer: 112*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 480206?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-150)\/240 - (-15029)\/8 is divided by 171.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -521\/6. What is the closest to 2\/7 in -1, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36\/145 - -16\/29. Let h = 85806 + -85806.5. Which is the biggest value? (a) x (b) -4\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 12. Suppose -5*w = -s*b + 69, 4*b + b - 125 = 5*w. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let d(h) = h**2 + 7*h + 13. Let f be d(-5). Let z(l) = -8 + 22 - 15 - f*l. Calculate z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - w = 2*w + 19, 4*f + 23 = -w. Let i be (-2*1\/(-10))\/((-18)\/(-15)). What is the second smallest value in f, -13, i, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -82778.\nAnswer: -3\/82778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291867125 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*s + 412, 196 = -6*a + 4*a + 3*s. Let t = -10 - a. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 5*q + 7 = 0, 2*q = 4*j - 10. Suppose r - 4*v - 38 = 0, 3*r + v - 64 = j*v. Let w = 7 - 3. What is the smallest common multiple of w and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58897 * 0.06384\nAnswer: -3759.98448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 762750*b. Let o(q) = -7*q**2 - 2*q. Calculate j(o(s)).\nAnswer: -5339250*s**2 - 1525500*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*x = 43, 272 - 273 = -x. Suppose -m + 3 = -0*m. Let u be (-45)\/36 - (30\/(-8))\/(-5). Sort u, m, l in ascending order.\nAnswer: u, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30068*w**2 - 80958*w**2 - 2415 + 2415.\nAnswer: -111026*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -63.4, -0.3, 1, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(87\/(-2030))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76735 and 1043?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 36 + 51 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 8171.7.\nAnswer: 40858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:01 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-20) - -5 - 3\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 59?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1150288\/(-19176) - -60)*(-5 + -1)\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479816, -959627, -1439438?\nAnswer: -1919249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/63*-9)\/(88\/224).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6948 divided by 5.\nAnswer: -6948\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.1 and 128?\nAnswer: -524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41285.83 litres in millilitres?\nAnswer: 41285830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/6090 and 1\/1728?\nAnswer: 1753920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-7*1\/(-7)). Solve -6*x = x + m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2385*b**5 + 2*b**2 + 1269?\nAnswer: 143100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*d + 10, -29 = d + 4*w - 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42158 divided by 2.\nAnswer: 21079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 125*l**2 + 2*l + 8*l**3 - 7*l**3 + 2*l - 46*l**2.\nAnswer: l**3 - 171*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -5d?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870*z**3 + 152472*z - 437*z**3 - 434*z**3.\nAnswer: -z**3 + 152472*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 91*i + 204*i - 125*i. Let l(o) = 4*o. Calculate l(c(t)).\nAnswer: 680*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - 294*c - 740. Let s(l) = 2*l**2 - 83*l - 185. Let h(w) = 11*s(w) - 3*x(w). Determine h(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4124157\/8 or -515520?\nAnswer: -4124157\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*r - 8890369*j**2 - 578835*j*r + j + 15*r - 2 wrt j?\nAnswer: -10*r - 17780738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589236 divided by -6?\nAnswer: 794618\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 150 (c) -0.015 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + 2*sqrt(931) - sqrt(931)) - (sqrt(931)*1*1 - (0 + 1*sqrt(931))))**2.\nAnswer: 70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l + 2. Let q(o) = -836*o - 77. What is -77*a(w) - 2*q(w)?\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 18*b**2 + 3945*b - 180. Let i(l) = l**3 - 8*l**2 - 1973*l + 80. What is 9*i(s) + 4*j(s)?\nAnswer: s**3 - 1977*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 + 8*f + 7. Suppose d = 5*s + 26, 2*s = 4*s - d + 8. Calculate k(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/47 or 3?\nAnswer: 81\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134390892 and 2286?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 113*o + 192. Is 46 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 4. Let b be 3 + -2*(-2)\/4. What is l(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-130)\/(-35))\/(-1). What is the third biggest value in -2\/15, 2\/3, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6335 - 6336.9738. Let h = 0.0262 - u. Let x = 2 - 1.98. Sort h, x, 1 in decreasing order.\nAnswer: h, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8323393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1021.487 to 0 decimal places.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6312, 16194, 26076, 35958?\nAnswer: 45840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0892 + 1614\nAnswer: 1614.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313772*d**3 + 8785624*d**2 - 9099164*d - 232 = 0.\nAnswer: -29, -2\/78443, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/((w*w**(-1\/4))\/w)*((w\/(w*w**(-2\/21)\/w))\/w)\/w**(-2\/7))**(-18))**(1\/54) assuming w is positive.\nAnswer: w**(31\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.617 - 164.29. Let c = p + 217. Round c to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -985 at most -986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 7*g**2 - 8*g. Let w be h(-6). Let s = w - 76. What is the least common multiple of s and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 1.9. Which is the third smallest value? (a) 0.4 (b) 2 (c) g (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*j - 51*j - 21*j)*(4 - 1 - 2)*(2 - 7 + 1).\nAnswer: -88*j","meta":{"dup_signals":{},"source":"polynomials__expand_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: Factor -5*s**4 - 3960*s**3 + 23880*s**2 - 47840*s + 31920.\nAnswer: -5*(s - 2)**3*(s + 798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/180980 and -97\/3650.\nAnswer: 66057700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(700)*-2)**2 + 2 + (2 + sqrt(700) - sqrt(700) - sqrt(700)) + sqrt(700) + 1.\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 1. Let k be m(-4). Let s = -9.51 - -10.01. Let q = 0.2 - 8.2. Which is the closest to 0.1? (a) q (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 13. Let h = -22 + u. Which is the biggest value? (a) h (b) -1\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-35) - (-10)\/14. Solve 4*w = y + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/531*60\/80*(14 + -13).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17003602 and 2618?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (0 - 9\/(-3)))*(-131 + 132). Let x = -18 + 19. Which is the nearest to 0.04? (a) k (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmtmt. Give prob of sequence mmmt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -835, 0.04, -2, 0.2.\nAnswer: -835, -2, 0.04, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9149552 is divided by 990?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 571*1\/((-4)\/(-8)). Let o = 426 - t. Is ((-1)\/1)\/(4\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13480, 44034, 91662, 156364, 238140, 336990, 452914?\n\"Answer: 8537*v**2 + 4943*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/7 - 121732*u**3\/7 + 25861488*u**2\/7 - 201983940*u + 573170850 = 0?\nAnswer: 3, 105, 60653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*k**2 + 27\/7*k + 54\/7.\nAnswer: 3*(k + 3)*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 + 770925*p**5 - 33*p**2 - 3*p + 384 wrt p.\nAnswer: 120*p**3 + 46255500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -2026*(((-132)\/(-88))\/(3\/(-7)) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/331 - -1333\/2979. Let h = 14 - 14. Is g <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 1, e: 3, y: 2, p: 2, a: 7}. Give prob of picking 2 e.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031007807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1087100 and 1900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j)**26*j\/(j*j*j**(-8)*j)*j\/j**(1\/5) assuming j is positive.\nAnswer: j**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 4. Let y(p) = -7*p + 7. Let g(m) = -5*s(m) + 3*y(m). Let i be g(1). Suppose -5*b = -2*f - 22, 0 = -i*b - 2*b - 2*f + 6. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.250676 hours in nanoseconds?\nAnswer: 15302433600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 11. Let x(h) = -h**2 - 6*h + 2. Let o be x(g). Let l be 312\/(-286)*3\/(30\/(-55)). Solve 5*p = 3*r + 17, l = -2*r - 4*p + o*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -20 + (-437 - -454)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 308 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 26. Suppose -2*h - t = -h. Let i = h + 18. What is the remainder when 18 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4 - 7 - 2*u - 731*u**2 + 2. Let h be q(-1). What is h rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 0.16, -2\/115, 0, 0.2?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*y = -2*n + 20, 0 = -3*n - y + 17. Suppose n*q - 4 - 6 = 0. Calculate the lowest common multiple of (-27)\/(-4) + q\/8 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 2*o + 1. Let v be m(-1). Suppose 0*r + 6 = v*r. Let b(k) = -3*k**2 - 2*k + 1. Let y be b(1). Sort y, 0, r in increasing order.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -18. Solve 4*j - 2 = -q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -4 + 2 - (-288)\/(-66).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*m - 12, 40*m - 38*m = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/17 - 676*r**3\/17 - 55746*r**2\/17 + 233928*r\/17 = 0.\nAnswer: -171, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -2.2. Put 3\/8, q, -4 in increasing order.\nAnswer: -4, q, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 0*p**4 + 3*p**4 + (-p**3 - p**3 + 0*p**3)*(-957*p - 1294*p + 2877*p) - 2*p**4 - 2*p**4 + 2*p**4.\nAnswer: -1252*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 5*n - 5, -109*l - 3*n = -114*l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-2)\/50*(-15)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 5*r - 8. Let v be g(5). Calculate the common denominator of -34\/63 and -2 + (v\/40 - (-16)\/80).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l. Let k(m) = 5 + 60*m + 249*m**2 - 252*m**2 - 60*m. Determine k(u(j)).\nAnswer: -48*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 83748275?\nAnswer: 83748261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -243 + -1 + (-10 - -10). Let i = -88 - g. Suppose -2*q - f + i = 0, 5*f - 179 = 4*q - 477. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 2.8. Let k = 12 + -8. What is the closest to d in k, -0.05, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2 + 3\/2*h**2 + 4\/3*h**3 + 1\/4*h**4 + 3*h. Give l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1319\/5 - 263. Let r = 4.5 + -0.5. Let d = -6 - -8. Which is the third biggest value? (a) n (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 4 - 0) + 14075058\/(-360). Let f = r + 39096. Calculate the common denominator of -81\/4 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108621311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -2, -5, 45, -0.2, -3 in ascending order.\nAnswer: -5, -3, -2, -0.2, 0.07, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 19. Let m be x(-9). Let z(l) = 2*l - 6*l + m*l. Let h(c) be the third derivative of -c**5\/30 + 60*c**2. Give z(h(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22078961 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 19. What is the closest to 2\/3 in y, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1264*j - 2. Let z(r) = -633*r - 1. Determine -4*s(q) + 7*z(q).\nAnswer: 625*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 75*b**2 + 174*b - 20403. Calculate p(-68).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 538.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2 and 4\/14 + (-2510)\/(-280).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d - 12. Let i be y(7). Suppose 4*w - 5569 = i. What are the prime factors of w?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 + 18*f - 32. What is the remainder when u(-11) is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 11*f + 10. Calculate c(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1903968 and 1384704.\nAnswer: 15231744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/83 + 253\/166. Let a = 0.1 + 0.1. What is the second biggest value in 0, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*u - 44, 30 = 4*g - 4*u - 58. Solve -6 = g*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 51*b**2 - 43074*b - 129674. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.26 and 4189?\nAnswer: 4189.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -7\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-2)\/4 - -69. Suppose 0 = -4*c + 4*b + 476, -c + 361 = 2*c + b. Suppose 2*g - 5*l - i = 0, -42 = -5*g + 2*l + c. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 540 - 541. Let g(k) = 1. Let p(f) = 9*f - 3. What is l*p(q) - 3*g(q)?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/120 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5009, 18431, 31853?\n\"Answer: 13422*n - 8413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7*1\/(-28) + 2613\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = 2*q, 3*q + 4*a = -6 + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34402 + 20*(-1)\/(-10)*(-10)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:29 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*a - a**3 - 13*a**5 - a**3 - 2*a**2 + 9*a - 37*a wrt a.\nAnswer: -780*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w - 2*p = -238, -w + p = -55. Let m(d) = 35*d + 25*d - w*d. Let i(z) be the first derivative of -z**2\/2 - 1. What is m(i(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237477, -949894, -2137255, -3799560, -5936809?\nAnswer: -8549002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Let s(w) = -w**3 - w**2 - w - 1. Let t(q) = -6*q**3 - 12*q**2 - 6*q - 15. Let v(j) = d*s(j) - t(j). What is v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18, -5 in increasing order.\nAnswer: -18, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0\/(-4))\/(-2))\/3. Let g(p) = -p**3 + 2. What is the units digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/587?\nAnswer: 5\/587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*i - i + 7550008 = 0, -i = -2*l + 15099998. Suppose l = -23*c + 18*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 + 11*p - 19. Let d(j) = -j**2. Let f(r) = 3*d(r) - y(r). Let q be f(9). Sort 5, q, 4, -1 in descending order.\nAnswer: 5, 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 3. Let b(g) = -21 + 69 - 20 - 29. Determine 4*b(y) + x(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 802469899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18 - (7 + -1)\/2. Let h be 40\/o*(-6)\/(-4). Put 3, h, -9 in increasing order.\nAnswer: -9, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138999 (base 13) to base 5\nAnswer: 110214244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -51080*q - 561862. What is g(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 - ((-24 - -28) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, o: 1, d: 2, f: 1, q: 2}. Give prob of sequence of.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4335 (base 8) in base 12?\nAnswer: -1391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -511*n + 35. Let u be p(-4). Solve 2085*r - u*r = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*((j\/(j\/(j**(2\/9)\/j)))\/j)\/j*j)\/j)\/j**(-17))**(-10) assuming j is positive.\nAnswer: j**(-1460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4609*y**2 + 4711*y**2 - 13741*y**2 + 4580*y**2.\nAnswer: 159*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -5*(sqrt(98) + 1) + -5)*4)**2.\nAnswer: 15680*sqrt(2) + 42336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 5*p + 6*p - 3*p. Let z(g) = 2*g - 5. Let n be z(4). Let i(h) = -n*h + 4*h - 2*h. Determine i(m(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 7*p**2 + 9*p - 11. Give u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211.84 + -208.49. Sort z, 0.4, -0.1, -2, 4 in ascending order.\nAnswer: -2, -0.1, 0.4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3119, -2, 11, 3 in decreasing order.\nAnswer: 11, 3, -2, -3119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17669924 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -5 (c) 2 (d) -2\/5 (e) 419\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -137. Let g be 4\/(-10) - j\/((-120)\/(-42)). Solve 0 = -2*r - g + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 180*k**2 + 0*k + 1\/4*k**5 - 15\/8*k**4 + 25\/6*k**3 + 0 + 1\/24*k**6. Factor h(u).\nAnswer: 5*(u - 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2664 - -5637. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 + 3*q - 1. Calculate a(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10*7366\nAnswer: -73660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2459*f + 5 - 3*f**2 - 2465*f - 3*f**4 - 2 to the form j*f**4 + s*f**2 + x + o*f + c*f**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhihiiiiihhh. Give prob of sequence hhh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - m. Suppose 0 = -3*u - u - 2*l - 46, -4*l + 16 = -4*u. Let t(k) = -10*k - 43. Let p be t(u). Let c = -48 + p. Determine s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36140*w + 2400 = -36200*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s + 198. Let b(f) = 6*f + 66. Give -2*a(x) + 7*b(x).\nAnswer: 2*x + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 764945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*w + 42*w**2 + 46*w + 2 + 42*w + 46*w**2 in the form o*w + m*w**2 + i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 21*u**2 + 55*u + 405. What is o(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -3 - (-2 + (-7 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1796521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -144512 - -17?\nAnswer: -1444a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 91. Suppose -4*d - u*k = -4*k - 25, 3*d + 2*k - 27 = 0. What is the remainder when 20 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7499820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*x + y - 4, 2*x = -5*y + 31 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + c**3 - 16 - 3*c**3 + 6*c - 10 + 4*c**3.\nAnswer: 2*c**3 + 6*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a87 (base 12) in base 14?\nAnswer: -44ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 324 = 5*v, v - u - 68 = 0. What is the lowest common multiple of 18 and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-135)*(62\/403)\/(6\/(-234)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 17*m. What is the tens digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/72 and 65\/192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12248 divided by -1531.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 4*p - 7*p + 0*p.\nAnswer: 3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163594567 is divided by 2278?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150 - 13*v**2 + 9*v**3 + 150 + 17*v**3 wrt v.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 25.578.\nAnswer: 31.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 54. Calculate the remainder when 32 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 618 + -548 + (34 - 1) + -25.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 416 and 66944.493.\nAnswer: 67360.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -788*s + 1051. What is the units digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002111220222 (base 3) in base 9?\nAnswer: -1074828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 54395670?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 9:37 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026888009 rounded to four decimal places?\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -33 + 82 - 46\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45711 is divided by 42510.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r = -5345 - 11615. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f - 4. Let y(h) = 7*h + 5. Calculate -6*b(x) - 5*y(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 9732*u**2 - 3562958*u - 3572688.\nAnswer: 2*(u - 343)*(u + 1)*(u + 5208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59263 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t + 1. Let s be a(-3). Let z = s + 50. What is the tens digit of 1 + (z - 7) + 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 698 + -8 + 0 + 0. Is s > 690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -4\/81, -4\/7, -0.02 in decreasing order.\nAnswer: 5\/2, -0.02, -4\/81, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 3. Let r(z) = -4*z - 2. Let b(u) = -5*l(u) + 4*r(u). Give b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-434)\/90) + 2\/5. Which is the closest to -1\/2? (a) 13 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 17 = -4*p, 2*x - 21 = 4*p + p. Differentiate 39*r - 39*r + 7 - 28*r**2 + x wrt r.\nAnswer: -56*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10218 and 260?\nAnswer: 102180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-18)\/3*-1. Let l = -246.9 - -272. Let d = -25 + l. What is the nearest to -1 in p, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-19)\/(-3))\/(1\/3). Let r = 36 - l. Solve -3*o + 5*t - r = 4*t, -3*t + 31 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131010 by -165.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (-94 - -98) - (-53 + -2 + 2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.65647 + 3.85647. Let o(p) = -p**3 - 4*p**2 + 5*p + 5. Let h be o(-5). Which is the closest to 2\/3? (a) 1 (b) -2 (c) h (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 7*d**2 - 8*d + 5. What is y(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*g = 4*a - 108, 0 = g - 1. What is the remainder when 33 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaavaqhakhaqhhaq. Give prob of sequence kah.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = -51*u + 795 + 1000. Calculate the smallest common multiple of 2427 and u.\nAnswer: 21843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - 37. What is the greatest common divisor of 16 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -1\/4*a + 1\/2*a**3 - a**2 + 1\/2*a**4 + 1\/2 - 1\/4*a**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 120*t**2 + 11*t. Let f be h(6). Let o = f + -44386. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16*-3)\/(5\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15634, -31266, -46898, -62530, -78162, -93794?\nAnswer: -109426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 + -255. Let k = -3.9 + -10.1. Let o = 0.7 - 0.4. Sort m, k, o in descending order.\nAnswer: o, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -154*h**3 + 6*h**2. Let f(w) = -308*w**3 + 11*w**2. Let m(n) = -6*f(n) + 11*r(n). Let p be m(1). Which is bigger: 153 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.009 to two dps.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -220944\nAnswer: -1\/73648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 + -1.6. Let k = 7.8 + m. Let i = k - 6. Sort i, -2\/9, 6 in increasing order.\nAnswer: -2\/9, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423325 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 7 + (-1)\/(1\/(-2)). Is 2\/m - 16835\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((9\/(-3))\/(-123)). Let a(f) = f**3 - f**2 + f. Let c be a(0). Suppose -2*s = -c*s - 48. Solve s = -4*u - i, -u = 4*u + 4*i + h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*j + 2 - 7 = 0, -5*y = 2*j - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 7. Let s be u(-9). Suppose -2*k = -3*x - 36, x = -k + 6*x + s. Solve 0 = -3*j - 3*v - k, -2*v - 7 = -4*j + 3*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c00 (base 13) to base 7.\nAnswer: 24503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31217 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13100 (base 4) to base 3.\nAnswer: 122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkz when three letters picked without replacement from hkz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + 2.7. Let n = j - 8.5. Round n to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, p: 7, d: 2}. Give prob of picking 4 p.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53857856 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -171*((-1244)\/(-6))\/(-1). Let h be (-3)\/2145*x\/(-4). Let s = -1\/286 - h. What is the common denominator of 4\/5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*u + 3. Let j(l) = 2*l**2 - 7*l - 7. Calculate the remainder when j(u) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 42 = 4*s - 138, 0 = s + 2*c - 17. Let t = 1 - -3. Solve -t*x + s = -9*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 5*v - 5. Let s be k(4). Let x = -2\/7037 + 682621\/112592. Find the common denominator of s - 190\/(-44) - 0 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16919 and 6766.7752.\nAnswer: 23685.7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 21*d + 11*d. Suppose d*y = -y - 5*y. Let r(b) = b**2 + b - 1. Give r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 199*t**2\/3 - 12667*t\/3 - 87079.\nAnswer: -(t + 53)**2*(t + 93)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 105141*u - 315427. What is z(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2296146 and 71\/3826910.\nAnswer: 11480730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(405) + 1.\nAnswer: 1 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-144))\/((-46)\/828).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.12502863.\nAnswer: 4.12502863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1494017 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -26*24*1. Calculate the remainder when q\/(-30) + (-16)\/(-160) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*h - 1479*h - 923*h + 3890*h.\nAnswer: 566*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 342\/(-45))\/(0 + 1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(21\/4)*(c**(-2\/3)*c)**4 assuming c is positive.\nAnswer: c**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l + 1101 = -263 - 26 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, b: 1, p: 6, e: 7}. What is prob of picking 2 a?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*b + 3*i, -5*b + 2*i = 3*i - 52. What is the least common multiple of b and 8 - (-1 - (-10)\/2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145 and 1015?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117099832 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 38 = -j - b - 2*b - 0*b, 27*j = -3*b + 38 + 28 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 370403 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let c(r) be the third derivative of 7*r**6\/72 + 9*r**3\/2 + 15*r**2. Let s(x) be the first derivative of c(x). Give s(u(j)).\nAnswer: 35*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - -3)*1\/(-3). Suppose j*x - 16 = -x. Suppose 3*d = x*d - 17. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -1\/15*o**4 + 5 + 4\/15*o**3 - 2\/5*o**2 + 8*o. Let l(q) be the first derivative of v(q). Factor l(k).\nAnswer: -4*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = -5*x, t + 10 = -5*x - 21. Which is the second biggest value? (a) 3 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 - 41 - 16 = -32*t. Solve -3*y + x + 1 = 0, 0 = 110*y - 111*y - t*x + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154206 = 1945*f - 1902*f. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, 2, 3, -6 in descending order.\nAnswer: 18, 5, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/32 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -3*n. Suppose -5*f = -2*z - n + 33, 5*z = f + 24. Suppose -124 = -3*u + z*s, -2*s + 136 = -0*u + 3*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159472 is divided by 1478.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3, -23.9, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(9\/8)*m*m*m*m*m**(-14)*m)**(3\/14) assuming m is positive.\nAnswer: m**(-141\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68405468.\nAnswer: 2, 31, 79, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -481 (b) 270 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 1 + 1)*(-j + 4*j + 3*j) - j**3 - 6*j**3 + 4*j**3 + (10*j**3 - 15 + 15)*(1 - 2 + 0).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/12 + 9\/(-12). Solve -4*q + 0*q + 20 = f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8729799 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let i be 55\/33*(-12)\/(-310). Which is the closest to 0.2? (a) z (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2314, 20 in increasing order.\nAnswer: -2314, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*w**2 - 56*w - 2744.\nAnswer: -2*(w + 98)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2065 - -5?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 20. Suppose 4*d = -2*c + o, -2 = -6*d + 5*d - c. Solve 25 = -d*q - 5*q, -q = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3864 divided by 14.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 1. Let t be k(-4). Suppose 132 = t*s - 57. What is the highest common factor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/5 (b) -1\/10 (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*5970\/40 + (-2565)\/(-2052)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 336.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:32 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - 2*i)*(0 - 3 + 4)*(-3549 + 817 + 1678).\nAnswer: 3162*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -2 (b) 2 (c) 0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (22 - -4) - 8\/(1 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*-104906.\nAnswer: -7133608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/2)\/((-90)\/(-60))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 8*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.66752 - 0.16752. Which is the second biggest value? (a) 4 (b) -4 (c) -153\/5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 26*b**2 + 16*b + 207. Calculate g(25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose -6 = 4*m + 4*q + 2, -2 = b*q. Let j = 4 + m. Solve -s - 8 = 4*y, -y - 10 = -j*s + 4*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/21 + (-2)\/7. Suppose -y + 3*y - 54 = a. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoho when four letters picked without replacement from hhohhohohooohoohohh?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 5, y: 3, l: 4, h: 3, v: 1}. Give prob of picking 1 l and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let d = 2 + -1. Let b(c) = -c**3 + 57*c**2 + 120*c - 116. Let n be b(59). Solve h = n*l + 5 + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/7 + 200*z\/7 - 5000\/7 = 0. Calculate z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 11421232?\nAnswer: 11421233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -40 (b) 4 (c) 0.5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 176*i + 6002. What is m(-41)?\nAnswer: -2895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 190\/6*(245904\/940)\/(-218)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/(8\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*z - 8*z + 6*z)*(7 + 13 - 9)*(-z + 0*z + 0*z + (-3 + 5 + 0)*(0*z - 3*z + 4*z) + z - 2*z - z) to k + t*z + f*z**2 and give f.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/20782 - 1226169\/644242. Let a = -5555\/2821 - w. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 6*l - 18 - 44 + 23*l to w*l + r and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*2\/(-6))\/((-24)\/(-108)). Let p be (-5 + 14175\/20)*(f - 1). Let u = p + 3966. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d. Let j be 11 + 0 + (-14 - -5). Let u(g) be the first derivative of 0*g + 11 - 1\/2*g**j. What is x(u(w))?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.55933 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -49, -145, -279?\n\"Answer: -19*l**2 - l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15199.8 to the nearest one hundred.\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15897, -18385, -20873, -23361, -25849, -28337?\n\"Answer: -2488*w - 13409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 211*m + 257*m + 96, 4*v + 4*m = -24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (7 - (15 + -18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -13*z + 73 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 1195588?\nAnswer: 1195580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c - 15*c - 9*c - 12*c + 50*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 + 3*t**3 - 1431573*t**4 + 1431571*t**4 + 31 + 4*t**2 to the form z*t**2 + w*t + b + v*t**4 + s*t**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1\/3, -5, 5343?\nAnswer: 5343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 0*c)*(-2*c - 15*c**2 + 7*c**2 + 30*c**2).\nAnswer: -44*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.10677 + -0.1196. What is s rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 9*o**3\/4 - 4588*o**2 + 2039*o\/4 = 0.\nAnswer: 0, 1\/9, 2039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + t**3 + 4*t**3)*(-t + t + 2*t) + 0*t**4 + 0*t**4 + t**4.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:04 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 383*g**3 - 187*g**3 - g**4 - g**2 - 35*g - 184*g**3 to a + k*g + j*g**3 + d*g**4 + b*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) 3.9 (b) 0.2 (c) 2 (d) -2\/3 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(99).\nAnswer: -4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2944 * -0.2\nAnswer: 0.05888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 51\/2. Let w = 7\/6 + -55\/42. Which is the third smallest value? (a) w (b) -3\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, -184065, -4 in descending order.\nAnswer: 255, -4, -184065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195902461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (14 - (8 + 3)) + -28?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 2)*((2 + 2*b**3 - 2)*(2 - 2 - b) - 6*b**4 + 15*b**2 - 15*b**2) to n*b**3 + y*b + h*b**2 + i + k*b**4 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 992, 1886, 2750, 3566, 4316, 4982?\nAnswer: 5546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:02 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7056, -14085, -21086, -28059, -35004?\nAnswer: -41921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11724612 times -0.1\nAnswer: -1172461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 + 63936*v**3 - 510912572*v**2 - 1022016960*v - 511040450 = 0. Calculate v.\nAnswer: -1, 15985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20c7c - 3608?\nAnswer: 1a674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c - c + (0 + 0 - 1)*(-2*c**2 - 2*c + 2*c) + c + c**2 - c + (-c - 2*c + c)*(-12*c - 3 + 3))*(-4*c + 6*c + 6*c).\nAnswer: 200*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2319, -9267, -20783, -36819, -57327, -82259, -111567?\n\"Answer: 8*i**3 - 2332*i**2 - 8*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + s**2 - s + 1. Let f be b(2). Let y(w) = -12*w - 103*w**2 + 15 + 2 + 102*w**2. What is the units digit of y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185\/22 - -7603\/946. Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:03 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3246*h - 208070. What is r(64)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44030064.\nAnswer: 2, 3, 13, 41, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -175*z. Calculate n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 + c**2 + c - 1. Let h(k) = -4*k**3 - 6 + 1 + 5*k**2 + 3*k**3 - 15*k**3 + 5*k. Let j(m) = -4*h(m) + 22*s(m). Factor j(u).\nAnswer: -2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 134*f**3 - 46*f**3 + 3*f - 43*f**3 + 0*f + 5*f**2 - 42*f**3 as u*f**2 + p*f**3 + o*f + h*f**4 + g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -136, -80, 72, 368, 856?\n\"Answer: 8*a**3 - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttx when three letters picked without replacement from {x: 2, t: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 10967, 37188, 88287, 172556, 298287, 473772?\nAnswer: 707303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:28 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 4*n**2 + 5*n**2 - 9*n - 4*n**2 - 48*n = 0. Calculate n.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*f**3 - 4 + 4 + 79*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejejmeejjmjmmejjjjj. Give prob of picking 1 j and 2 e.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 3:32 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.214 * 0.5.\nAnswer: -1.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 160080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2133000 - -10?\nAnswer: -2132550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 129500475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((3\/(-3))\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -399834849 divided by 133278283\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 + 3*r**2 + 6*r - 5. Let p be w(7). Let u be p\/2 + 17\/26. Sort -2\/13, u, 5.\nAnswer: -2\/13, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g - 9. Let q(i) = -6*i**2 - i + 1. Let j be q(1). Let w(n) = 5 - 9*n - 5 + 5. Calculate j*t(x) - 11*w(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197511 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131557*a**2 - a + 2104 wrt a.\nAnswer: 263114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366*l**3 + 191*l?\nAnswer: 2196*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178942667?\nAnswer: 178942667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/7*((-195)\/(-10))\/(-13)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 18. Let n be r(-9). Suppose -4*z + 27 + 121 = n. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0 - 35 - (1 + -2). Let c = a - -38. Suppose -c*z = -7*z - 20, 3*s + 4*z = 79. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19463354914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t + 35*t + 29*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254440.\nAnswer: 2, 5, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 111460*o\/11 - 1114800\/11.\nAnswer: 2*(o - 55740)*(o + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwk when three letters picked without replacement from kkfkkukkwkwwwkwk.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 49*a**2 - 1 - 27*a**2 + 2 - 7. Let s be y(2). Suppose -47*l + s = -46*l. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 7*s**2 + 10 + (3*s + 0*s - s)*(s - 4*s + s) + (-2*s - 15 + 15)*(-3 + 5 - 1)*(6*s + 2*s - 4*s) in the form d*s**2 + b + t*s and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1409 + 0.0631. Let v = -0.323 - -0.017. Let o = q - v. What is o rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -161152, -161143, -161132, -161119, -161104?\n\"Answer: b**2 + 6*b - 161159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/(-4 + 9\/3) + 446 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let n(b) = -b**2 + 4*b + 3. Suppose 5*w + 5 = -0*w. Let j(f) = w*n(f) - 2*k(f). Let t be j(6). Put t, 2, 4 in ascending order.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 723 - 441. What is the second derivative of -282 + 5*n**2 + l + 6*n**2 + 17*n wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 2*o + 1. Let d(f) = -558*f**2 + 198*f - 99. What is 198*b(r) + 2*d(r)?\nAnswer: -720*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-54))\/(2565\/(-6156))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -24, -1\/3, 113?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45.43529104 - -2\nAnswer: 47.43529104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from rrrrrrqrqrrgrggrrr.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-272))\/((12\/(-6))\/((-16)\/46))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 204827?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(1 - 0) + 1573\/2541?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 5.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -6\/18145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*p = -7*p + 32, d = 5*p - 22. Solve -w + 12 = h + 3, -d*h - 5*w + 37 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*x, -x - 2*x = 3*r + 30. Let h(d) = 2*d**2 + 7*d - 7. Let p(l) = l**2 + 3*l - 3. What is r*h(z) + 14*p(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/8 - 5\/24. Let u = 4 + -5. Let y = -1 - u. What is the nearest to i in 3, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(8*l**4 - 2*l**4 - 8*l**3 + 9*l**3) in the form n*l**3 + y*l**2 + g + x*l**4 + o*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:34 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/84)\/((-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r + 0*r + 2*r)*(-1 + 0 + 2) - r + 0*r + 3*r)*(-65*r - 704 + 704)*(2 + 0 - 4) + (r - 1 + 1)*(-2*r - 4*r + 5*r) + 33 - 33 + 2*r**2.\nAnswer: 131*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -58*((-2)\/(-1) + -69). Suppose 4*d - 14948 = -2*p - g, -4*p - 2*d = -22148. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 29. Calculate the remainder when 28 is divided by h(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1 + -9 + -2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36621\/2 + -17865. Let y = v + -396. Calculate the common denominator of y and (-2)\/(-4)*1212\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6951 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.1 (b) -3\/83 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6478 (base 9) in base 10?\nAnswer: 4769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9081816 or 9081827?\nAnswer: 9081816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89.5 + -89. What is the nearest to -0.1 in p, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 3, 1, 0 in descending order.\nAnswer: 5, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, 34, 4\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -523*k**4\/2 + 27*k**3 + 914. What is the third derivative of s(g) wrt g?\nAnswer: -6276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169842663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(4) - (sqrt(20)\/sqrt(5)*-2 + sqrt(4))))\/(sqrt(16)\/(sqrt(40)\/sqrt(5))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1401833 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573) + sqrt(1573) + 4)**2.\nAnswer: -88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 98.38521g?\nAnswer: 0.09838521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, 3*q - 171922 = 5*x - 17322. Round x to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7272 + 8677. Calculate the remainder when t is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 376 - 367. Suppose 1421 = t*n - 5581. List the prime factors of n.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 19 = -2*j + 127, -4*j + 5*x + 219 = 0. Calculate the highest common factor of j and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*v - 90*v - 43*v**2 to the form d + z*v**2 + q*v and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2474, -3\/8, 3\/2, -2, -1\/7, 1?\nAnswer: 2474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmm when three letters picked without replacement from maqagagmgmgioqq?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 257357167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -2, -19, -64, -149, -286, -487, -764?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261.07 - -257.17. Which is bigger: -15 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2 + 39*n**5 - 2*n**3 + 139*n - 8 - 139*n wrt n.\nAnswer: 2340*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2740*v**2 - 7*v - 2. Let r be l(7). Let q = r - -12794. Suppose b + q = -3*d, 2*b - 209939 = 5*d + 35055. Round d to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 4. Let u be z(4). Let y = 8 + u. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s - 1433 = 32*s + 250*s + 5789 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s + y - 303, -5*y = s - 144. Calculate the remainder when 644 is divided by s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26.8, 6, -3\/5, -324?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/(32\/88)*-8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -3)*9\/(-2). Suppose -2*w + 7 = 1. Suppose 10 = -5*y, 3*i + w*y + y = 16. Solve -5*x = 2*t + u, 0 = -2*t - x - 2 - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - o - o + 4 = 0, -4*o - 4 = -2*m. Let r be (2\/(-3))\/(m\/6). Let u be 1\/1*(-27 + 29). Solve -2*i = 5*l - 20, 4*i - u*i + 8 = r*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (254\/(-40005))\/(3\/(-45))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(19))**2 - (sqrt(171) - (sqrt(171) + (sqrt(171)*3 - sqrt(171))))\/sqrt(9))*4 + (1 + -2*sqrt(76)*4 + sqrt(76)*1*-5)**2.\nAnswer: 36*sqrt(19) + 13305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-8)\/12)\/(5\/15). Suppose 3*b + 6 = -k. Do -20\/7 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**5\/330 + 47*n**4\/22 + 279*n**3\/11 - 13065*n**2. Determine y, given that k(y) = 0.\nAnswer: -279, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -19, -25, -29, -31, -31?\n\"Answer: r**2 - 11*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - n - 70 = -6*k, -5*n + 75 = 5*k. Suppose 0*x = 5*y + 2*x - 23, 3*y - 2*x - k = 0. Suppose 0 = z + y, -2*z + 6*z + 8 = -m. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -81, -92, -117, -162, -233, -336, -477?\n\"Answer: -n**3 + 2*n**2 - 2*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 3. Let u(w) = -w**2 - 6*w - 2. Let d be u(-5). Suppose -4*f + 11 = -3*z - 6*f, -d*f - 9 = 3*z. Give o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*o + 106, -23*t - 60 = -22*t - o. Let y = t - -78. Solve 3*v + 4*c = -2*v - y, 2*v + 20 = -4*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*h = 257, 4*h = 4*x - 212 - 44. Calculate the remainder when 129 is divided by x.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - -135248?\nAnswer: 135212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3636*u - 19 - 2214*u - 1420*u.\nAnswer: 2*u - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*s - 2*d, -3*s = -0*s - 2*d - 34. Suppose 5*m - m = s. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*(16*u + 258*u - 8*u) - 2 + 2*u**2 + 2.\nAnswer: 268*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519915179?\nAnswer: 7, 71, 191, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p = 0. Let i be 9\/(3 - p) + -9. What is the units digit of 6\/8 + i\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-8))\/((-2)\/(-8)). Solve 5*s**4 - 3*s**2 - u*s**3 + 9*s - s**4 - 7*s**4 + 6 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-3 - -2)*1. Suppose -u*g + 2 = -1. Let s(n) = 4*n. What is s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 + 26*v**2 + 13*v - 14. Give u(-7).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p**2. Let t be (0 - 1)\/(1 - (-10)\/(-8)). Let c(l) = -4*l + t*l + 8*l - 3*l. What is a(c(w))?\nAnswer: 375*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffdrbzfrrzdrrrfdrrd. Give prob of sequence zrzj.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 193. Calculate v(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17882.14kg to micrograms.\nAnswer: 17882140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/8)\/(q*q**(-9)))\/(q*q**(-4))**(-9\/8) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/(-24))\/(3*(-4)\/(-24)). Let n be -1 + (-2 - -1 - -1). Let k = 5 - n. Put 4, k, d in increasing order.\nAnswer: d, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*o = -33 - 2, -3*x - o + 10 = 0. Suppose -4*w = x*w. Solve 3*t - 4 - 2 = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - w**2 + 4*w**2 + (3 - 3 - 3*w)*(-4*w - 3*w + 4*w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyhq when four letters picked without replacement from hyhyyhqyhhqhyqyhh.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 360\/5760 - 34001\/16. Does -2121 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1610 = -10390. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/694594 and -17\/2?\nAnswer: 694594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -5, -7*m + 16*m = -12*m - 3*o - 501 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 1:37 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 20 = -3*g, -3*r + 3*g = -9744. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6864.6 - -6865. What is the smallest value in z, 4, 171\/10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 0, -0.3, 15093?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a minute in milliseconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -14 + (-2 - 2) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:49 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92465386 by -4381.\nAnswer: -21106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.7. Let g = 160.1 - -37.9. Let h = 197 - g. What is the closest to -2 in 7\/5, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/6, 8, 2.\nAnswer: -1\/6, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2 - 0)*(1 + 0). Which is bigger: 2\/401 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737939*t = 738013*t - 5698 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Suppose 0 = -m + 4*v - o*v + 3, 5*m - 23 = -v. Let a be -5 + -1*(-2 - -1). Sort m, a, 4 in decreasing order.\nAnswer: m, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11310828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 - -164 - (-1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -817 (base 11) to base 13.\nAnswer: -5ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (161291\/(-84890))\/((-2)\/20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + 1. Suppose -d = a + 5*s - 12, 0 = 5*s + 20. Suppose 3*p + 3 = -a*b + b, 63 = 4*b + 5*p. Solve 0*y = -4*y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-seven quarters of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, 4, 15, 26?\n\"Answer: 11*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2 and -107\/6076?\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/3)))**(5\/11)\/((d*d\/(d**4\/d))\/(d*d**(-1\/7)\/d)) assuming d is positive.\nAnswer: d**(268\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 5*c**5 + c**5 + 2*c + (4 + 2*c**2 - 4)*(-7*c**3 + 13*c**3 + 5*c**3).\nAnswer: 20*c**5 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6809 - 4595090890.\nAnswer: -4595097699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1791*o + 24 = -1797*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**2 + 20*c - 27.\nAnswer: (c - 1)*(7*c + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1365 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-6) + 1\/3. Solve -d*s + 4 = -5*m, -s - 5 - 5 = 4*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 38*b. Let y be 2\/(678\/674 + -1). Is y + b + (-4 + 12 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 1697620604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/m**(4\/7))\/((m*m\/((m\/m**41)\/m))\/m*m*m**(1\/3)) assuming m is positive.\nAnswer: m**(-733\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 448, 274, -50?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-9))**13)**(-35))**(-7\/3) assuming i is positive.\nAnswer: i**(-9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46227317\/312 + -148164. What is the common denominator of s and -67\/12?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/5 + 46*d**2\/5 - 632*d\/5 - 9856\/5 = 0.\nAnswer: -28, -11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxkv when four letters picked without replacement from vkxnkgxvxkkxvnkvg?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*f + 167*f + 84 = 0. Calculate the greatest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 + -1031 - (-1 - -1 - 104) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506\/1988 + 3\/(-6) - (-3822)\/(-13377)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:44 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -x + o, 3*x - 5*o - 24 = -0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 13608*l**2.\nAnswer: -13608*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28978020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17342476 divided by -1?\nAnswer: 17342476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:40 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-4 - 5 - (212\/(-12) - -14))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1 - -6) - (0 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20\/61 + 4371\/122. Let i = -1637\/46 + y. What is the third biggest value in 3, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 25*m**2 + 2*m - 56. Suppose 5*q = 4*i + 65, -14 = -2*q - i + 12. Is u(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -436 - 2*a + 436. Let j(k) = -k + 10. Let f(o) = -2*o - 2. Let l(t) = 5*f(t) + j(t). Calculate b(l(s)).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4 - 25306*u + 50604*u - u**2 - 25303*u. Calculate y(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3340 - 122211?\nAnswer: -113321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10983255*h**6 - 10*h**2 - 79249?\nAnswer: 1317990600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -10 - (-90 - -96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-35) - 18\/(-14). Let f = 4 - v. Solve -5*a = 2*r - 6, -5*r + 4*a = f - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(sqrt(288)*-3)**2*-2.\nAnswer: -62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 - 11*o + 11. What is d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) -7\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g + 1. Let v be (-5 - -3) + (5 - 3). Suppose v*s = -4*s + 8. What is j(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -17.6. Let o = -101 + 101.041. Let n = 0.091 - o. Which is the nearest to 1? (a) l (b) -1\/6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*l*r - 2495*h*r + 9*l*r - 16*l wrt l.\nAnswer: -h*r + 9*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 264?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12065, -12067, -12069, -12071?\nAnswer: -12073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456.76567*4.\nAnswer: -1827.06268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9784.73 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f - 73. Calculate b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4766 - 4766 - 205*f**3)*(-8*f - 4 + 4).\nAnswer: 1640*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166.9 - 12.1. Let u = 178.3 + j. Are u and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = 4*w - 0, -5*w - 20 = 0. Suppose 5*r + 28 = 4*t, 0 = -7*t + 3*t - 2*r. Suppose t*j + 42 = -4*g, 2*g + 18 = -0*g - 2*j. Is m equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 4. Let c = -13 + 7. Let s be 12\/2*c\/12. Let l be r(s). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-29)\/(-58))\/(1\/2). Calculate the highest common divisor of 11 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*6*3\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 7:33 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + -1 + 4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81276, -81282, -81288, -81294?\n\"Answer: -6*q - 81270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 0 - (76 - 79)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/16)\/(2\/(-8)). Let s = -8 - b. What is the highest common divisor of s and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -34. Suppose y*p - 234 - 54 = 0. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180573121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 421 (base 6) to base 12\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7308084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a factor of 44618392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9855829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 10:47 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9086941 millilitres to litres.\nAnswer: 0.0009086941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 5*o - 14\/3.\nAnswer: -(o - 14)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*s + 4*a - 530, -308 = -3*s - a. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-1)\/((1\/(-308))\/(33*(-200)\/23100)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y - 5. Let i be p(6). Let n = i + 5. Let g(f) = f**3 - f**2 - f + 8. What is the units digit of g(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**4\/11 - 114*c**3\/11 + 754*c**2\/11 + 456*c\/11 - 280 = 0.\nAnswer: -2, 2, 11, 35\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30293, 60725, 91157, 121589?\n\"Answer: 30432*u - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 + -1820\/9. Let b = 49 - 61. Let u be ((-1)\/7*-1)\/(b\/(-14)). What is the third biggest value in g, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29224, -116921, -263094, -467743, -730868?\n\"Answer: -29238*f**2 + 17*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 4)*(-4*r + r + 2*r) + (-2 + 2 - 1)*(10*r - 19*r - 3*r) + 7 + 2*r - 5 + 4*r.\nAnswer: 24*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 14 = 12*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 10. Suppose -5*w = -3*k + 37, 0 = -3*k + d*w - 3*w + 39. Solve -2*c = 3*q - 19, 2*c + 0*c + 2*q - k = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.1, -1\/25229, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -5*r**7\/42 - r**6\/6 + 3*r**5\/4 + 25*r**4\/12 + 5*r**3\/3 - 17*r. Factor y(m).\nAnswer: -5*m*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39402)\/(-4776))\/((-9)\/48*18).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13382141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-5 - -16) - -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2192*v + 1097*v + 1093*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(18)*2)**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -28\/3*a**4 - 34\/3*a + 28\/9 + 56\/9*a**2 + 92\/9*a**3 + 10\/9*a**5 = 0. Calculate a.\nAnswer: -1, 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 743*s**3 + 14*s**2 - 11*s + 17. Let m(p) = 248*p**3 + 5*p**2 - 4*p + 6. Calculate 11*m(a) - 4*w(a).\nAnswer: -244*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d**2 - 3*d)*(-4*d - 4816*d**3 + 2*d - 2301*d**3 + 2*d).\nAnswer: -7117*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhihitlhtihiuhh. Give prob of sequence lhh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247357 is divided by 247338.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -14, 87, 3, 12 in increasing order.\nAnswer: -14, -6, 3, 12, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 5481*p + 253184.\nAnswer: -(p - 46)*(p + 11008)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -588645, -588644, -588643, -588642, -588641, -588640?\n\"Answer: v - 588646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 282269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(6\/5) - -1. Let t = -4\/43 - -138\/559. Which is the nearest to -0.1? (a) m (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 7, 8.\nAnswer: 0, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 5*g + 2. Let a be s(5). Suppose 147 = a*k - 29. Let x = k + -1. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from xxmx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12540476 by 169.\nAnswer: 74204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.7 and -1004.\nAnswer: -998.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = 0, 0 = 2*c - c - 4*p - 14. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773514387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349048*p + 349005*p = 258 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1672, -6727, -15166, -27001, -42244, -60907, -83002?\nAnswer: -108541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, n: 7, j: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42778 and 78548?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 21\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tit when three letters picked without replacement from ipwpttptwp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 3, m: 5, b: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:14 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/(3\/105*7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.14 + -0.14. What is the nearest to -1 in a, -1, -1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11007106.946 + 11660682.9451. Let f = t - 653508. Let l = f + -68. Round l to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112322110 (base 4) to base 11.\nAnswer: -64563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-4)\/(24\/3)*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/3 (c) 29 (d) -88 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44.73777*2\nAnswer: 89.47554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -725 + 882*j - 2646 - 3*j**2 - 768*j wrt j.\nAnswer: -6*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1347.1?\nAnswer: -2694.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 264858 - -3?\nAnswer: 26485b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/2 + 981*g**3\/2 - 4443*g**2 + 11872*g - 7920 = 0. Calculate g.\nAnswer: -990, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3357 + 3357.03418. Let o = -0.036 + c. What is o rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159886.9*0.5.\nAnswer: -79943.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*398.\nAnswer: -4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 82*d + 29. Is h(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*2 + 2.\nAnswer: 2 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 3*y**3 + 2*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4590741 and -454.424.\nAnswer: -454.8830741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32018537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**6\/6 - s**5 + 75*s**4\/4 + 90*s**3 - 1350*s**2 - 1669*s. Solve j(c) = 0 for c.\nAnswer: -6, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = v + 5*c, -3*v - v + 2*c = -10. Suppose -v*i + 2*i = 194. Calculate the remainder when 16 is divided by i\/(-11) + 12\/66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14732 by 591.\nAnswer: 14732\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a - 23*a - 2*l - 15, 10 = 2*a + 4*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 65722?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2212\/(-10675) + (-2982)\/(-12425).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {k: 6, u: 5, m: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -1078.550256+14\nAnswer: -1064.550256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 5)\/(0 + 1). Suppose 92 = 5*h - 4*z, i = -z - 0 + 2. Suppose u = -3*u + h. Solve -l + 20 = -u*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2\/25 (c) 0 (d) -357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 16777*r - 33550.\nAnswer: -(r + 2)*(r + 16775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/19760 and -9\/72902050.\nAnswer: 583216400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 + 386. Solve 2*g - 8 + 6 = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12412031 (base 7) in base 13?\nAnswer: 306c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:36 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(288) + -1 + -3 + -5*-2*sqrt(288) + sqrt(288) + sqrt(288) + -1 + sqrt(288) + 0)**2.\nAnswer: -2688*sqrt(2) + 56511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (133\/28)\/((-5)\/(-340))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*127336210\nAnswer: 114602589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 148 and 149 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-4440))\/(2 + 8\/(-5))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 18*o**2 + 3*o + 41*o**2 - 22*o**2.\nAnswer: o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 18 + -24 + (-4 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14880*h - 14881. Give u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 715.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 28*j - 534. Calculate the smallest common multiple of 36 and g(-11).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14*z - 168 = 0. Calculate the remainder when 60 is divided by 186\/z + 6\/(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/72)\/(((-125)\/15)\/5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3827\/2859 + -5\/953. Let p = 0.04 + -0.84. Let x = 1 + p. What is the closest to x in 4, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 10 + -3 - (-319 - 2\/2). What is the greatest common factor of u and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28709303471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/11)*(((n\/(n**11\/n*n))\/n)\/n)\/n)\/(n\/(n**(-2\/3)\/n))**(-9\/11) assuming n is positive.\nAnswer: n**(-113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, 57 in decreasing order.\nAnswer: 57, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5240, -10176, -15114, -20054, -24996, -29940?\nAnswer: -34886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 15*j + 43 = 2*q - 212, 392 = 8*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiyyiyiijiiyyyyiy. What is prob of picking 1 y and 1 j?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -6966\nAnswer: -4179.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018994317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54951149 is divided by 613?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02331 - 0.02331634. What is a rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7331 - -6658.1. Round p to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17179491 to the nearest integer?\nAnswer: 4145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9226, -73782, -249002, -590218, -1152762, -1991966, -3163162, -4721682?\nAnswer: -6722858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 188. Let x(p) = p + 31. Let r(o) = 6*a(o) + 34*x(o). Determine r(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26554 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 2. Let u be w(-4). Let t = -7 + u. Suppose -1 = -q + t. What is the remainder when 10 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216436352 (base 7) in base 2?\nAnswer: -110010000110111101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -76*p - 785 - 414. What is the closest to p in -8, 0.1, -0.08, -2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(4\/(-4) - -3). Suppose -4 + g = -6*k. Let j(m) = -97*m - 3. Is j(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*((-18)\/21)\/(25\/(-350))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w. Let a(d) = 157*d**2 - 2*d. What is x(a(m))?\nAnswer: 628*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5 + 327.59.\nAnswer: 324.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2407.10344 rounded to the nearest 10?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781*i + 5*i**2 + 4*i**2 + 12*i**2 - 20*i**2.\nAnswer: i**2 + 781*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 2 = -8*h. Let y(t) = 2*t + t**3 - 2*t**2 + 0 - 2*t**3 - h. Determine y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.02 + 0.82. Let y = -0.16 - t. Is y at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -564 - -539 - (-26 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 + 5 = 0. Suppose -4*l = -7*h + v*h - 33, 4*l - 3 = -h. Let t = 35 - 10. Solve 3*w = -l*w + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3920.143 litres?\nAnswer: 3920143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3311660 and 825?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12231 - -12230.8. What is the closest to v in 3, 0, 4, 171?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 5*p**2 - 6*p - 10. Suppose t + 16 = 2*n, -5*t - 4 - 13 = -n. Does 23 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -502 + 485. Let t(d) = -d**3 - 17*d**2 + 3. Let v be t(g). Solve 7*y = 4*y + 4*p - v, -5 = 5*y - 3*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24042, -23990, -23904, -23784, -23630, -23442, -23220?\nAnswer: -22964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4601 and 0.5.\nAnswer: 4601.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 100001?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 16*c + 2 - 4 as q*c + k and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 38*f - 44. Let o be c(-29). Let s = 304 + o. Sort -6, s, -9 in increasing order.\nAnswer: -9, -6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -8*m - 4*o, 328*m - 329*m + 4*o - 17 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1054 + 2?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*y - 16 = 0, 5*a + 3*y + 0 - 16 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 251*c**2 - c.\nAnswer: 251*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 5*h**2 - h**2 - 7*h**3 + 15*h**3 in the form s*h**2 + d*h + f*h**3 + j and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 116862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 33*y**2 - 524*y - 2713. Determine z(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q + 0*q**4 + 0 + 0*q**2 - 1\/6*q**3 - 1\/30*q**5 + 1\/360*q**6. Let o(m) be the second derivative of r(m). Give o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -208 (c) -87\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18586303861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56250 and 31250?\nAnswer: 281250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-252)\/8)\/7)\/3. Let s = 0.3 + 0.2. Which is the second biggest value? (a) -2\/13 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:05 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2225 + 1474. What are the prime factors of c?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**3 - 5*q**2 + 5*q - 67. Let c(m) = -m**3 + m**2 - m - 1. Give 5*c(z) + s(z).\nAnswer: 2*z**3 - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 848.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -11. Is (9 - d)*514\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + p + 101 = 0, 0 = -3*z + 5*p - 0 + 97. Is -4*(2 + -8)\/z - -7068 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7021)\/2856 - (-1)\/24*-3) + 3?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + w**3 + 159*w - 20 + 149*w - 47*w as b*w + p*w**2 + s*w**3 + j and give b.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -20, -4, 4, 2\/7, -0.02, 0.34?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-170)\/(-10) + -12 - (-21)\/(-4). Which is the second biggest value? (a) h (b) -5 (c) -6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6.82. Let h = -1.18 - w. What is the second biggest value in -3\/4, 2, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46502991027*m**2\/4 - 1867545*m\/2 - 75\/4.\nAnswer: -3*(124503*m + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 773216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5*k + 79918*c**4*k - 7*c**2 - 2669*c*k - 9*c + 2 wrt c?\nAnswer: 20*c**3*k + 959016*c**2*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -8 (c) -0.5 (d) 8 (e) -0.2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**4\/8 - i**3 + 119*i**2 + 4. Calculate u(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 3\/4, -2\/3, -1\/6, 1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101578467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times -17946.357?\nAnswer: -484551.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*-1 + (-34)\/(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let a(j) = 4 - 2 - 2 - 2 - 2*j. Let z be a(-2). Let s(r) = -4*r. Give z*f(u) + s(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/3*(-252)\/(-30). Suppose -20*w + 19*w = -4. Find the first derivative of -33 - 42 + 131 + s*f**w - 34 wrt f.\nAnswer: 112*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10986*z - 6215. Is b(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (545*p**2 - 545*p**2 - 674*p**4)*(8 - 4 - 5) as u*p**2 + j*p + s + a*p**4 + y*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o - 3*j - 23 = 0, 19 = -2*o + j. Let q be 66*(o\/3 + 3). Calculate the highest common factor of 198 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24634 by 2.\nAnswer: -12317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 4. Let w be (16\/(4\/h))\/2. Calculate the smallest common multiple of 16 and 16 + (2 + 0 - w).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(12 - (-144)\/(-9))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 2 - ((10 - 18) + 10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - f - 2 = 0, 0 = -2*s + 5*f + 619 - 609 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y = -62*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*z + z = 537, -4*q + 2*z + 702 = 0. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426909 is divided by 106684?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -647 (base 13) to base 7\nAnswer: -3062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271218 and 367914?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-4)*(-1036)\/1702*-46.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/13)\/j*j*j\/((j*j**(10\/9))\/j)*j*j\/j**31*j*j*(j\/(j\/(j**(3\/4)*j)))\/j)**36 assuming j is positive.\nAnswer: j**(-11941\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-q - q + q) - 2*q - 4*q + 3*q - 7.\nAnswer: -q - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 7845. Let q(a) = -60*a**2. Calculate k(q(s)).\nAnswer: 60*s**2 - 7845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690350798 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-30) + (-14)\/(-12). Let a(b) = n - 2*b + 7*b + 0*b + 8*b. What is a(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + -0.5. Let g = -1.6 - d. Suppose -5*o + 3*u + 10 = 0, -10 = -o + u - 2*u. What is the smallest value in -2, o, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07366986419 to 6 dps.\nAnswer: 0.07367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 26 = 3*x. Let n = x + -16. Does 3 divide (n\/4)\/(45\/240)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**5\/4 + j**3\/2 + 21*j**2\/2 + 19. Let t(r) be the second derivative of v(r). Differentiate t(p) with respect to p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + v. Let k(i) = -5*i**2 + 20*i. Let x(t) = -k(t) + 20*m(t). Let c(w) = -w**2. Calculate c(x(u)).\nAnswer: -625*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z**2 - 41*z**2 + 120*z**2 - 37*z**2 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 10:02 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-115)\/(-46) - (-2)\/(-4). Let i(g) be the first derivative of 0*g + 1\/12*g**3 + r + 0*g**2. Factor i(t).\nAnswer: t**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*2 - (-1 + 32\/(-2)). Suppose 16*q = i*q - 1615. What are the prime factors of q?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:33 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 42\/151?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 4 + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let y be h(2). Suppose 5*v = -0*z + 2*z + 14, -y*z + 2*v = -4. Find d such that z*d - 5*d + d**3 + d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7765306*x**2 - 20234898?\nAnswer: 15530612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 1350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from hghhggghghhhggmhhmhh.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13554 - 3?\nAnswer: -13557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4 + 51.6. Let o = a - 53.961. Let x = -0.03899937 + o. What is x rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2175\/(-425) + (0 - -3))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:43 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**6\/y))\/(y*y**1*y))\/(y\/y**1)**5 assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 114 = -2*n. Let a = -43 + n. Suppose 3*k + 1 - a = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5332 and -10\/279?\nAnswer: 47988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1\/(-6) + 112\/48. Suppose 56 = -5*v - 4*n, n - r = -1. What is the tens digit of v\/(-1)*(-24)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011727 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z + 528. Let p be f(30). Put 4, 1, p in descending order.\nAnswer: p, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(-5*(sqrt(931) - 1*sqrt(931))*-6 + -5))**2.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27429908 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1239)\/531)\/((-1)\/(-3) - 1).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlnanbrbbr. Give prob of sequence brln.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -14*p**3 - 13*p**2 - 10*p - 35. Let c(g) = 5*g**3 + 5*g**2 + 3*g + 12. Let t(l) = 6*b(l) + 17*c(l). Calculate t(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-30 - -12) + 7 + 115?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/10 - (12 - (-28)\/(-7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1\/4 + (-99)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -86, -326, -798, -1580, -2750?\n\"Answer: -13*b**3 + b**2 + 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - j - 6. Suppose -j*d + 3 + 3 = 0. What is the first derivative of -1 - 2*b**2 - 1 + d*b**2 wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 58 = 44 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2737, 5433, 8091, 10711?\nAnswer: 13293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 10. Let f(x) = -6*x + 2. Let h be f(5). Let z = d - h. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 25. What is the units digit of r(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-224)*6)\/((27\/60)\/((-93)\/155))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1016875 by 362.\nAnswer: 1016875\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8654649 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 + 13*z**2 + 14*z + 5. Let u(s) = -2*s**3 + 12*s**2 + 13*s + 6. Let h(m) = -3*q(m) + 4*u(m). What is the tens digit of h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 y when four letters picked without replacement from yysnqyysyyysyyysyqs?\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -440, -1073, -1948, -3059, -4400, -5965?\nAnswer: -7748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 1.1746827.\nAnswer: 0.6746827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 2*h**2 - 2*h - 1. Let d(y) = y**3 - 3*y**2 - 2. Let s be d(3). Let p be 0 + 2 + 0 - s. Let i be p\/(3 - 7)*1. Determine c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Which is the third biggest value? (a) -0.7 (b) 0.2 (c) -53 (d) 13\/3 (e) -2 (f) 9.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = 4*u - 5, -5*u - d = -17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*c**(9\/2))\/c*c**17\/c assuming c is positive.\nAnswer: c**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 484304.1 and 56964?\nAnswer: 427340.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Let b be f(-2). Let o be ((-4)\/6)\/((-4)\/((-480)\/(-4))). Let d = -17 + o. Solve b = -d*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 22*s - 814. Let t be c(37). Solve 25 = 4*u - 2*a - a, t = u - a - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-56981752\nAnswer: 4558540.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/40079 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6255 divided by -1251.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 10866. Let c(o) = -12073*o. Calculate c(u(r)).\nAnswer: -12073*r + 131185218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*k - 3*g + 2, -4*g = -k - 5. Let u(i) = 3*i - 11. Let j be u(k). Let p be (-1 + 1 + 0)*1. Sort j, 2, p in decreasing order.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940636 not equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110855029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19880527 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8609, -8612, -8617, -8624?\nAnswer: -8633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 4020*p.\nAnswer: -5*p*(p + 804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 6. Suppose b*o - 2*o = -4000000. Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1055886 by 351962.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + 0 + (14 - 23 - 6) + 13 + -9.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049915 + 32.343085. Round t to one decimal place.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(2 + sqrt(5) + 1) - 5*(-4 + -2*sqrt(5) + 5).\nAnswer: -23 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 1. Let l(a) = -4*a**2 + 4*a - 4. Calculate -2*h(g) - l(g).\nAnswer: 4*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(88)*-1)\/(5*sqrt(2)*1 - sqrt(2)) + (2*sqrt(11)*2 + sqrt(11))**2 + 2 + -3) + 1.\nAnswer: -1643 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-20))\/((-6)\/(2\/1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 s, and 1 a when four letters picked without replacement from sseaaessasaessnasa.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d - 20. What is the nearest to 2 in d, -1\/6, -0.4, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 + 5*x - x - 4*x. Let v(j) = 22*j + 37*j - 95*j + 40*j. What is v(s(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 36*w - 24 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/28*-1)\/(68\/238)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:16 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from {a: 7, y: 2, e: 3}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -6.9. Let o = f - -1.10000014. What is o rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (0 + (-3 - -3))) + -477 + 487?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15840\/2016 - (-1)\/7. Solve 2*l + 3*l - 4*q = -6, -4*l = -4*q + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -16. Suppose 0*k - 2*k + c = 0. Factor -k - 8*x**3 + 7*x**3 + 4*x + 3.\nAnswer: -x*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3215, -3199, -3197, -3215, -3259, -3335?\n\"Answer: -j**3 - j**2 + 26*j - 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14.31 + 0.0073871129\nAnswer: -14.3026128871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v + 380 = -49*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -8. Suppose 2*x + t = 14. Let k(y) = 3 - x - y**3 + 3 + 4*y - 4 + 2*y**2. What is k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, 5, 0.1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 11.46 (c) 4\/69 (d) 0.1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12258991 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 - 10*i**4 - 5*i**4 + 4*i**4 - 3*i**4 + 3*i**4 + (0*i**2 - 2*i**2 + 0*i**2)*(i**2 + i - i).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(2*a**2 - 3 + 76*a + 193*a - 65*a) as u*a + k + l*a**2 and give u.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/1)\/(((-24)\/4)\/6). Suppose z + 44 - 48 = u. Sort z, 2, -14 in descending order.\nAnswer: z, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/1*(-6 + 2205\/(-27)). Let j = -522 + k. Let b be 2 + 2*(2 + -3). Solve b = -i + 4*p - j, 0*i + 4*p - 8 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(70)*2 - sqrt(70)))\/(sqrt(60)\/(sqrt(6)*-1 - sqrt(6))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14*m**3 + 5*m**2 + 6*m + 12. Let t(v) = 17*v**3 - 6*v**2 - 7*v - 13. Calculate 5*f(z) + 4*t(z).\nAnswer: -2*z**3 + z**2 + 2*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 85, 8 in decreasing order.\nAnswer: 85, 8, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (38 - 15 - (8 + 1)) + -21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjlllljjlljjj. What is prob of picking 1 j and 2 l?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, a: 2, x: 5, y: 1}. Give prob of sequence ja.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (0 + sqrt(192) + -1))**2*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(56)\/sqrt(4) - sqrt(14))*-3 - 2*sqrt(504)))\/((sqrt(168) + sqrt(168)*2)\/(-1*sqrt(486))).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**2 - 4*k + 3. Let t be q(2). Let a = t + 59. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 215107?\nAnswer: 215107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -800525893 greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b**3 - 3*b**3 + 0*b**3)*(4 - 3 + 0) + 28*b**3 + 13*b**3 - 3*b**3 in the form w + o*b + j*b**2 + x*b**3 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(33)\/(sqrt(33)\/sqrt(3)*-4) + 6*(sqrt(12) - sqrt(3)) + sqrt(6)\/sqrt(2)*1)**2.\nAnswer: -6561\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266, 1264, 1264, 1266, 1270, 1276, 1284?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.0898\nAnswer: 0.0449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*a*u**5 + 10*a*u**2 - 236*a*u - 1253*a + 48415*u**3 + 2*u - 111 wrt u.\nAnswer: 360*a*u**3 + 20*a + 290490*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/20527?\nAnswer: 1\/20527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72407 and 53415.\nAnswer: 3258315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let h be m(-13). Let a(s) = -s**3 + 13*s**2 + 2*s - 16. Let g be a(h). Solve -5*f + g = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 501 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 631?\nAnswer: -62c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.3. Let k be 8\/18*(-7)\/14. Which is the second smallest value? (a) -2 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14237755 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-710))\/(3\/(-679482)). Let f = -1595 + d. Let r(c) = c**3 - c**2 - c + 1. Let l be r(0). Which is greater: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -1114*(-33)\/(-132)*3\/(3\/(-62))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 24.6, -460, -6\/11, 5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -200, -457, -832, -1337, -1984, -2785?\n\"Answer: -2*m**3 - 41*m**2 - 14*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 11, s: 1}. Give prob of sequence sffd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/(-10)*4\/(-7). Suppose 0 = 4*f - 4*r - 44, -4*r = -c*f - f + 32. What is the lowest common multiple of 22 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257898483, 257898481, 257898479, 257898477, 257898475, 257898473?\nAnswer: 257898471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-27) - 794\/(-3). Suppose 5*r + 2*a = 2*r + 264, 2*a = 3*r - c. Suppose 0 = -0*f + 5*f - 110. What is the greatest common factor of f and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(2*(14042\/(-1224))\/59).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9*l**(-7))\/(l**(2\/37)*l**(4\/17)))**(2\/3) assuming l is positive.\nAnswer: l**(2152\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 2}. Give prob of picking 2 y and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 212 + 114 = -3*y - l - 121, 4*l - 265 = 29*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/27, 2, -1\/3 in decreasing order.\nAnswer: 2, -2\/27, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n)**(2\/35)*(n*(n\/n**8)\/n)\/(n**10\/n) assuming n is positive.\nAnswer: n**(-558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, -9, 0.4, -3, 73, 5\/157, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*z + 3 = 0, 2*h - h = 4*z - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 2*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 6 (b) -1\/2366 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 138*p**2 + 326*p + 10651. Calculate b(135).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/21 - 16*c\/21 - 6\/7 = 0. What is c?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111100 - -212002?\nAnswer: 21100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**6\/12 + 9*p**5\/20 - 83*p**4\/24 - 5*p**3 + 9*p**2 + p + 41. Solve d(i) = 0 for i.\nAnswer: -6, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4969724 is divided by 292336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z + 63*z + 2 + 14*z - 48*z.\nAnswer: 61*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -286) + -122 - 69.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 1230176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2. Let a = 16 + -13. Let o(s) = 12*s - 13*s + a*s. Give q(o(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 3*m**4\/4 + 4*m**3\/3 + m**2 - 5*m + 180. Let q(j) = 7*j**3 + 9*j**2 + 4*j - 11. Calculate -4*q(f) + 9*x(f).\nAnswer: -f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - 5*z + 10*z + z - 2*z + 0*z + (-2*z - 3*z + 3*z)*(-6 + 3 + 1) + 3*z - 11*z + z to k + j*z and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*k + 60, 4*x + 91 = k - 44. Let a be 10\/x + 72\/154. Let q = -202 - -203. What is the third smallest value in 1\/6, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrr when four letters picked without replacement from {j: 2, s: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**2 + 70*m - 80. Let s(n) = -3*n. What is z(s(r))?\nAnswer: 6*r + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 859760?\nAnswer: 1719520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) - (-5)\/3. Let i(x) = -x**3 + 10*x**2 + 27*x - 35. Let d be i(12). Solve -v*o - 9 = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21086642 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/12*(-236)\/(-34) and 91\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2. Let i(j) = j**3 + 7*j**2 + 7*j + 8. Let q be i(-6). Let d(y) = -y**2 + 3*y**2 - 6*y**q - 6*y**2. What is z(d(g))?\nAnswer: 300*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2612, -2610, -2608, -2606, -2604, -2602?\n\"Answer: 2*z - 2614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 1085?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -3.3224536592294.\nAnswer: 3.8224536592294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -737*f + 2. Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*u**3 - 50*u**2 - 24*u + 16773?\nAnswer: 15*u**2 - 100*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 313 = 383 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 4*b - 3 = 0 for b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 6*j - 3. Let o be b(-7). Suppose o*r - 3*v = 30, r + 0*v + 2 = -4*v. Suppose 4*s - 2*w = 88, r*s + 3*w - 66 = 3*s. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + a = -29*j + 1541, 0 = -j + 4*a + 1551. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1))\/o**(-3\/5)*((o*(o\/o**(2\/11))\/o)\/o)**17 assuming o is positive.\nAnswer: o**(-137\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 141*a - 160. Determine w(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.510365396 rounded to 5 dps?\nAnswer: -0.51037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 445*i - 449*i. Let h(l) = 9*l**3 + 3*l. Let x(k) be the first derivative of -7*k**4 - 5*k**2 + 1. What is i*x(s) - 10*h(s)?\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/4 + l**3\/3 - l + 240. Let k(v) = -3*v**3 - 15*v**2 + 15. Determine -15*h(a) - k(a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 + 2*h + 2. Determine p(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 177. Calculate the remainder when 4 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-8) - 0)\/(12\/8). Let g be -5 + 12\/(-8) + 7. Does g = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608 and 5770528.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 841345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-3))\/(38\/57)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25d5 + 5e4?\nAnswer: -1ee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -61. Suppose -16 = -c*z + 8. List the prime factors of (-2)\/5*(4\/z + -512).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/360 + o**5\/45 - 2*o**4\/9 - 32*o**3\/9 + 2*o**2 + 13. Find i such that r(i) = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 26300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - (5 + 1 + 3 + 11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*v - 3*v - 4*z, 0 = 4*z + 8. Let t = v + -2. What are the prime factors of 6*1\/1 + t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-435)\/(-120) - (-2)\/(-16)) + 948. Solve 13*o + 954 - r = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-2)*((-5760)\/144)\/80?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -33, -7, 31?\n\"Answer: 6*g**2 - 4*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x - x)*(2 - 3 - 1)*(17*x**4 - x**2 - 3*x**2 + 5*x**2) + 5*x**5 + 8*x**5 + x**5.\nAnswer: -20*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 167*d + 1521. What is x(-9)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 2*k**2 - 7*k - 4*k**2 + 2. What is the remainder when i(8) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 2960*y - 14825.\nAnswer: (y - 5)*(y + 2965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/2 - 123*f**3\/2 + 1860*f**2 + 1922*f = 0 for f.\nAnswer: -1, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -8 + (2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30705500 rounded to the nearest one hundred thousand?\nAnswer: 30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186782447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -158*s**3 + s**2 - 2*s. Let a be r(1). Let m = 229 + a. Let x be 7\/m*5*2*20. Is x greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624132, 1248280, 1872430, 2496582, 3120736?\nAnswer: 3744892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 10. Let q(h) be the second derivative of -h**6\/720 + h**5\/15 - 7*h**4\/12 + h. Let z(u) be the third derivative of q(u). What is z(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 215\/2*k + 5\/4*k**2 = 0 for k.\nAnswer: -86, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1646, 1635, 1610, 1565, 1494, 1391, 1250, 1065?\n\"Answer: -i**3 - i**2 - i + 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11580043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) 2\/7 (b) 2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 42413 = x, 2*x - 84816 = -7*b + 2*b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7814 divide 1949510340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 222*7272\nAnswer: 1614384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -444*l**4\/5 - 162417*l**3\/5 - 14837268*l**2\/5 + 2915739*l\/5 + 200934\/5 = 0.\nAnswer: -183, -2\/37, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -14*g**3\/11 - 891054*g**2 - 28004434*g\/11 + 4200666\/11 = 0.\nAnswer: -700111, -3, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let m be (k\/(-5))\/(5\/(-25)). Calculate the greatest common divisor of m and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*j - 1024 = 290*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25861.2689 + 25863. Round s to two dps.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 9. Let f be x(6). Let p(k) = 4*k + 4*k + 11*k + 2 - 14*k. What is the tens digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 8*b + 13. Calculate n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 0*t + t. Let a(k) be the second derivative of -k**6\/720 + 7*k**4\/12 - 10*k. Let b(s) be the third derivative of a(s). What is b(l(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 27 - 22 + 20 + 36*w - 15*w as y + t*w and give y.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/39))\/(r**(-11)*r*r)*r**(7\/3)\/r**(-9) assuming r is positive.\nAnswer: r**(830\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 30204526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 7*x - 24. Let d be 3\/(-1 + -2)*1 + 36. Suppose -5*v + d = -5*p + 105, 0 = -2*p - 5*v + 7. Calculate the remainder when 59 is divided by s(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/29802 and 11\/225?\nAnswer: 2235150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2*(-7)\/(-210) - (-1280)\/(-3900).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*(1 + (-6*(sqrt(300) + 1) - sqrt(300)) + sqrt(300) - (2*-1*sqrt(300) - (5 + 2*sqrt(300)))))**2 + -2).\nAnswer: 28788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s + s)*(2*s**3 - s**3 + 0*s**3) + 31*s**2 + 8*s**4 - 31*s**2 + 3*s**4 + s**3 - s**3 + 6*s**4 + 12*s**3 - 12*s**3.\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 162\/19*p - 12\/19*p**3 + 0*p**2 + 2\/95*p**5 - 211 + 0*p**4. Let j(a) = 0. What is a?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30959365 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezvd when four letters picked without replacement from {a: 2, z: 1, d: 2, e: 3, v: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n + 29. Give l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -101 + -14?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**3 + 1 - 2*l**3 - 2*l**2. Suppose -2*g - 5 = 3*g. Does 7 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141151093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1778459782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76248*z**5 - z**4 + z**2 + 7268*z + 5371 wrt z?\nAnswer: 1524960*z**3 - 12*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/68663 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 341\/(-330))*(-23564)\/(-17). Let g = 756\/17 + l. Find the common denominator of 61\/45 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (1 - -2)) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + u + 10213 - 10195 = 0, u = -3*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g - 10*g + 3*g - 2. Let v be b(-5). Let p = 18 + v. What is the remainder when 41 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28155436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48.07644 micrograms?\nAnswer: 0.00000004807644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.050155 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g + 56817 + 2*g - 58215 - 956*g**2 - 244*g**2 with respect to g.\nAnswer: -2400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112560 by 168.\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453015 = 3*l + 103455. Let p = l - -544496. Suppose 0*g - 4*z + 1435988 = -4*g, 2*z = -g - p. What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/29*(3 + (-300)\/99). Let d = 17\/87 + i. Factor 1\/11*s**2 - d*s + 0.\nAnswer: s*(s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619060869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -7*q**2 + 0*q**5 + 0 - 1\/8*q**4 + 0*q - 2\/15*q**6 + 0*q**3. Find the second derivative of w(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w + 3*w + 7*w**2 - 2*w**2 - 11*w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 smaller than -29222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = 4. Let z = -872 - -876. Sort 5, -2, z, u.\nAnswer: -2, u, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.16\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15643 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 168 = -45*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-24)*-5354)\/(14\/56).\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 14. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114 - 325?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/p*p**1)**(-2\/19)*((p*p\/(p\/(p*p\/(p\/p**(-2\/9)))))\/(p**(1\/2)*p))**(-50) assuming p is positive.\nAnswer: p**(-2537\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, 27 in ascending order.\nAnswer: -4, -3, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 18*c**2 - 53*c - 536. Determine b(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8798\/2035 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*1\/((-4)\/32*8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 588, 2481, 5656, 10113, 15852, 22873?\n\"Answer: 641*f**2 - 30*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 106?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - 34\/(-8). Suppose -5*b - 4*r + 7 = 0, w*b - 4*r + r = 18. Suppose -b*s - 5 = -4*s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -862, -1718, -2574?\n\"Answer: -856*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 13 - 7. Is (-452)\/h + 2\/(-6)*1 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-28) - 180\/(-7). Let n = f - 22. What is the greatest common divisor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 8*r + 15. Solve w - 15 = -5*a, -r*w + 0*w = -a - 23 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32800063903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140470 and 374.\nAnswer: 2387990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1400*20)\/((-40)\/(-7840)). What is c rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18483313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 11}. What is prob of sequence dd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3531.997 - 3534. Let l = 2 + q. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 31. Calculate the greatest common divisor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*f - 5*a + 15, -2*f = -a - 5. Suppose 2*o + 3*o**2 - o**2 - 5*o**2 + f*o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639 divided by 3.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j - 2\/5*j**2 + 2\/5.\nAnswer: -2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*k**2 - 264*k**2 - 27*k**3 + 256*k**2 as s*k**2 + g + u*k**3 + h*k and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -199, 0 in ascending order.\nAnswer: -199, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61902917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a - 5. Let w be u(5). Let f(m) = -m**3 + 6*m**2 - 2*m + 9. Let x be f(6). Let b = -8.5 + 9. What is the second biggest value in x, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 332398?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200217018 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 124 - 103)*(4 - 3 + 0)*(0*p + p + p)*(5*p - 21*p + 3*p - 17*p).\nAnswer: 6180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.09, -0.2, 258, -72, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 10*k**2 + 7*k - 11. Determine f(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -1035364?\nAnswer: 1035423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1539)*-2)**2 - -4*(-1 + sqrt(1539))) + -2.\nAnswer: 36*sqrt(19) + 6154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.6 (b) -2\/21 (c) -2\/11 (d) 0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21 + 27 + 43 + 6*r + 4. Let q be f(-9). Let l(n) = -n**2 + 5*n + 4. Let v be l(6). Is q not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6547 - 1.6547. Let j = 0.13 - -4.87. Which is bigger: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzoufrzufwoz. Give prob of sequence uu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 24*i**2 + 5*i**2 + 21*i**2 as d*i**2 + p + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 + -100147?\nAnswer: -100183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -718710639.5 + -0.22\nAnswer: -718710639.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*a - 698*a + 232*a + 242*a + 5.\nAnswer: 5*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose 5*f - 15 = l, 0 = h + h - 3*f - 21. Let i = 13 - 10. What is the greatest common factor of i and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5398 - 5363. What is the greatest common divisor of s and 25655?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*c + 47. Suppose -c*t - 98 = t. Let v be (4\/(-3))\/(3\/9). Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/12)\/l**(-38) assuming l is positive.\nAnswer: l**(455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + 23*s - 12. Suppose 5*q + 4*f - 192 = 77, 12 = -3*f. What is the remainder when t(-7) is divided by q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2262 - 1027 - 413 - 415 - n**3 - 407.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.3. What is the closest to 2\/9 in -0.1, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g. Suppose g*s = -4*s + 24. Suppose -5*l - 8 = 2*b - 0*l, -4 = l. What is the lowest common multiple of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**3 + 3*h**2 - 2. Let o be s(-1). Sort o, 2, -59 in increasing order.\nAnswer: -59, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2743154 and 612.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*3\/(-9))\/2. Let u = g + 9. Let p(r) = -r + 11. What is the smallest common multiple of p(6) and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2 + 11*j - 1. Let q be y(-1). Sort -2, 103, q in descending order.\nAnswer: 103, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.273 - 0.273. What is the nearest to -2\/5 in -9\/5, c, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3585850413 - 408783639409\/114. Suppose -59278 = 2*g - 1246. Let y = h + g. Calculate the common denominator of -91\/22 and y.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -49\nAnswer: 88\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 21945636 = 36254364. Round v to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -5910a1?\nAnswer: 5910b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/100 - 49*k**4\/60 + 104*k**3\/5 - 288*k**2\/5 - 30*k. Find a such that g(a) = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*k + 1253. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256248 by 42708.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 1539 = 15*a. Calculate the remainder when 2591 is divided by a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488324449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 2*q + 36*f - 19*f, 4*f - 17 = 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/((-25)\/15))\/1. Let t be y\/(-2) - (-361)\/190. Factor 8\/5*u**3 - 18\/5 - t*u**4 + 4\/5*u**2 - 24\/5*u.\nAnswer: -2*(u - 3)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13288075?\nAnswer: 5, 43, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20424, 71977, 154652, 268443, 413344?\nAnswer: 589349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1973, 1, 4 in ascending order.\nAnswer: -1973, -8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 67, 81, 101?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356078 is divided by 3043.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q - 38. Let b(v) = -8*v - 38. Calculate 4*b(f) - 5*s(f).\nAnswer: 3*f + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39161 is divided by 208?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(3\/30*-3). Let x(w) = -4*w**2 - 3*w**2 + 0 + 8*w**2 - 12*w + 14. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 4. Let l(w) = -9*w - 9. Let q(x) = -117*x - 117. Let h(k) = -27*l(k) + 2*q(k). Calculate 2*h(u) + 5*n(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 4827 + 1375 + 3452 - 6*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.3 (b) -15\/2 (c) 4\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 73. Is 334\/22 + o\/176 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 25*k**3 - 515*k**2 - 760*k - 220 = 0.\nAnswer: -1, -2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1371 - -46?\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-24) - (-73)\/44 and -52\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - 2*n. Calculate t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:01 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 7*r**5\/60 - 752*r**2. Let o(d) = 140*d**2 - 2. Calculate a(o(p)).\nAnswer: 137200*p**4 - 3920*p**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 375898099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 98.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 6 + (-60)\/15. Let y(r) = 7*r**2 - 2*r - 1. Let a(n) = 7*n**2 - 2*n - 1. What is w*a(k) - 6*y(k)?\nAnswer: -7*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11 = -14. Suppose -5*g = -4*y - y + r, 0 = y - 5*g + 15. Suppose -3*p + 413 = -y*u, 5*u + 272 = 2*p - 0*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 844130092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4)*5312\/8. Suppose 12*i = -k + 8. Let p = -84 - i. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/13 - (-4)\/5)*120\/(-72). Let u(t) be the first derivative of 3 + 3\/7*t**o + 1\/7*t**3 + 3\/7*t. Let u(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75852*d**3 - 4*d**2 + 206*d - 1 wrt d?\nAnswer: 455112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = v - 6*v - 30, v = -f - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 4*r + 24. Give h(10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6889 divided by -1.\nAnswer: -6889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128210999 to the power of 1\/2, to the nearest integer?\nAnswer: 46133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*q = 17, -2*k - q + 3 = 4*q. Suppose 5*u = -x - 3, -2*x + 5*u - k - 2 = 0. Which is smaller: x or -7\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/23? (a) 4 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, -0.1, 6306 in ascending order.\nAnswer: -3, -0.1, 4, 5, 6306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/9) + -1. Suppose -w + y = -0*w. Factor -t**w + 4*t**4 + 3*t**3 + 2 - 2.\nAnswer: t**2*(t + 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48101654, 48101650, 48101646, 48101642?\n\"Answer: -4*g + 48101658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1825 - 484. Let p = a - 1334.61. Let s = 0.01 + p. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/558187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(4\/9)*h\/(h**(2\/19)\/h))**(3\/11)*h\/h**5*h**(-1)*(h*h**(-2\/3))**29 assuming h is positive.\nAnswer: h**(1115\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71894 and 1603298.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + ((-2)\/2)\/1*(-44)\/22. What is the closest to 2\/5 in 4, -5\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 415 - 268. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -5*c**4\/4 + c**3 - 590*c**2 - 2804. What is the second derivative of x(d) wrt d?\nAnswer: -30*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/4 + -6 + (-4466)\/(-4).\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4157881\/25938 + -127\/1441. Let a = 161 + d. What is the common denominator of a and (0 + (-14)\/(-84) + 2175\/18)\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let a(n) = 0*n + w*n - n. Let v(h) be the second derivative of -h**3\/3 - 3*h. What is a(v(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 256*y + 50 + 28 + 123 + 48 wrt y.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 872, -5, -4, 0 in increasing order.\nAnswer: -5, -4, 0, 4, 872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 34*f**2 + 13*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16463961*r**3 + r**2 - 1175884*r?\nAnswer: -98783766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34602164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19604 and 33408?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17609 is divided by 8716?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 702080177 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2 + sqrt(102))\/sqrt(6) - 5*(sqrt(17) - sqrt(17)*-3)) + 5.\nAnswer: -21*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3850 - 3809. Solve -i*x + 49*x + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 95*t**3 + 100*t**2.\nAnswer: -5*t**2*(t - 1)*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27d07 + 7b0?\nAnswer: 286b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 108 = 3*g, 4*o = 50 - 38. Suppose 5*y = 3*s - 63, 4*s - 3*y = 106 - 22. What is the remainder when g is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 51\/(-12) - 3\/(-12). Let d = 7\/6 - 2\/3. Let j(q) = q - 8. Let y be j(10). Put r, y, d in descending order.\nAnswer: y, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -288, -644, -1142, -1782, -2564, -3488?\nAnswer: -4554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538716540.\nAnswer: 2, 3, 5, 131, 68539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 17159 (b) 4 (c) -46.7 (d) -2\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7819 + -7816. Put i, -50, -9, -4 in descending order.\nAnswer: i, -4, -9, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2639 divided by 3.\nAnswer: 2639\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l**2. Give w(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -41. What is the lowest common multiple of 8 and g?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:19 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21, -6, -9941, -5, -3 in increasing order.\nAnswer: -9941, -6, -5, -3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121073.52 months in centuries?\nAnswer: 100.8946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50418 divided by -380\nAnswer: -25209\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + (sqrt(833)*-2*5)**2 - sqrt(833).\nAnswer: 83300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53487349 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3 - 144*y**2 + 3456*y - 27648 = 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057776 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7841907 divided by -27?\nAnswer: -290441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 13 + 13)*(-2*m - 2*m + 2*m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3674 - 2539 = -305*i - 3745 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106647?\nAnswer: 3, 19, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/958 and 79\/48.\nAnswer: 22992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4081 is divided by 809?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 e when three letters picked without replacement from {o: 1, k: 1, n: 5, e: 4, v: 6, w: 3}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34036 + 33990 - ((1 - 1) + -26)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -243859579432734+0\nAnswer: -243859579432734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.023, -0.3, -14, 1\/4, -5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26374208, -26374212, -26374220, -26374232?\nAnswer: -26374248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3604765, -0.1, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -54. Let x = s - 110\/7. Let l = 8252 - 8250. Put l, 7, x in decreasing order.\nAnswer: 7, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.93 + -1. Let r = 156.13 - 156. Let o = r - s. Which is bigger: -5\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/(3\/9). Let x(u) = 2*u - 10. Let c be x(7). Let h(j) = -j + 5. Let l be h(c). What is the third smallest value in l, 0, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*t = -331*t - 8526. Calculate the remainder when 915 is divided by t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 - 2 - (-90)\/(-18). Suppose 2*s - 48 + p = r, -s - 2*r = -7. What is the greatest common divisor of s and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.8, -29, -22, 2, -1\/4, 7 in decreasing order.\nAnswer: 7, 2, 1.8, -1\/4, -4, -22, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 34*p - 75. Let i be r(-31). Solve -6*s + i = -0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.64 - -7.6. Let y = -7 + w. What is y rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220011 (base 4) to base 6\nAnswer: 15513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 53*a**3 - 5*a + 5. Let m(y) = 80*y**3 - 7*y + 7. Determine 5*m(h) - 7*v(h).\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 2. Let p(w) be the second derivative of 7*w**3\/6 + w**2\/2 - 113*w. Let k(a) = -3*p(a) - 2*u(a). Give k(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.09487 - 44.862282. Let d = -33.43258799 + g. Let b = -0.2 - d. What is b rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141812 = -10*h - 18418. Let d = -13177 + h. What is d rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*d - 4*d + 21, 5*w + 6 = -3*d. Sort 0, -4, w.\nAnswer: -4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-12 - (-1 + 2)). Suppose -8*f + 2*f + 6 = 0. Let m = s + f. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1196 and 2.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 19. Let z be o(0). Let v = -1 + z. Calculate the remainder when 71 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 916.5, 15.2?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09375938692 + -4.06.\nAnswer: -3.96624061308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -11766?\nAnswer: -11773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-4))\/((-2)\/8). Let i be ((-4)\/7)\/(6\/y). Suppose 0 = -i*z + 10 - 2. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 0.011, -0.4 in ascending order.\nAnswer: -0.5, -0.4, 0.011, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19030*g**4 - 5*g**3 + 4060355*g**2 wrt g.\nAnswer: 456720*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-4)\/(-3))\/((-220)\/495) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a + 664. Is 10 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.35, 1, -6\/1003?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137937 rounded to three dps?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v - v - 14 + 68 = 0. Factor 0*z**3 + 5\/4*z - 5\/4*z**5 + 0 + 5\/2*z**4 - 5\/2*z**v.\nAnswer: -5*z*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 9.2 (b) -2\/3 (c) -3\/7 (d) -1\/8 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3\/2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prprrrrpprrkrkkprcc. Give prob of picking 1 p, 2 c, and 1 k.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmbbmffbbfafbbs. What is prob of picking 2 b and 1 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 52, -4, 0.084, -25, -0.2, -3?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 - -10 - (11 - -2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 38*i**2. Let d(x) = -5*x**2 + 118*x - 6. Let b(m) = 4*m**2 - 99*m + 5. Let z(a) = -6*b(a) - 5*d(a). What is z(q(r))?\nAnswer: 1444*r**4 + 152*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 16. Let j be p(-15). Let i(a) = 2*a - 7 - j + 4. Determine i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 9. Let c be (x - -1)*(-5)\/4. Suppose c*w + l = 74, -l = -5*w - 3*l + 78. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1811 - 1806. Solve -5*k - 4*q + 4 = -p, -4*q = -k + 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1*255\/(-12)) + 9730\/5560?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(-7 + 2 + 2)*(-16*j - 2524*j**2 + 7*j - 28*j**2 + 9*j).\nAnswer: -30624*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/7)*w))\/w**(-8))\/(w\/(w**2\/w))**(-7) assuming w is positive.\nAnswer: w**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (96\/(-120))\/(1\/(-5)). Let y(f) = 15 + 2*f + 3 - w - 3. Let z(c) = -c - 4. Give 3*y(b) + 8*z(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 5:46 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -54288.\nAnswer: -217152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*v**2 + 3*v**3 + 3*v**4 - v**3 - 176*v**2 - 1 + v to h + g*v**2 + u*v**4 + j*v**3 + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - b = -10, 6*y - 35 = 2*y - 3*b. Suppose 0 = 2*w + y*w - 140. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -9. Calculate the remainder when h is divided by (1\/10 - 3168\/(-320)) + 6 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 31 (c) 0.2 (d) -209 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32874906705.82844048845498860 + 1.828441698454988603. Let i = f + 32874906951. Let x = i - 247. What is x rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6222)\/(-427))\/(5\/7))\/(18\/45)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-4))\/8)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109368229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 72472 = -4*g - 1623, 3*g = -c + 53137. List the prime factors of g.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/9)\/((-4)\/(-2)). Suppose m = -6*k + 5*k + 10. What is the least common multiple of k and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*t + 36 = 0, -3*w - 25*t + 8 = -30*t. Solve -2*h - 2*r = w, 4*r = -0*r - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shosouoosoueoseseos. What is prob of picking 2 u and 2 o?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -0.179871. Round g to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 + 0 + -6 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a**2 - 3*a. Let r = 98 + -96. Let n be l(r). Solve 4*t + 10 = -4*i + n, -5*i + 14 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984050 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2531335 and -6\/70595?\nAnswer: 17719345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 v when three letters picked without replacement from zvvzvvvvzvvvvv.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -5304885?\nAnswer: -5305001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -16*k - 6. Suppose 4*g - 4*i - 31 = 61, 26 = g - 2*i. What is the remainder when a(-4) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 35376504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5835*y**3 - 17*y**2 + 120675 wrt y?\nAnswer: -17505*y**2 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/2)*z*z)**(7\/10)\/(z\/(z**6*z))**(-8\/7) assuming z is positive.\nAnswer: z**(-813\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37109?\nAnswer: 43, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*((-1*(sqrt(128) + sqrt(128) + 2*sqrt(128)) + -6*(sqrt(128) + 1))**2 + (1 + sqrt(128) + -3 - -3*(1*sqrt(128))**2)).\nAnswer: 2904*sqrt(2) + 39651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 5*q**8\/84 + 5*q**4\/6 - 6*q**2. Find the second derivative of b(i) wrt i.\nAnswer: 400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001228370862 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5278 = 128*r + 626*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-244)\/4)\/(165\/15) + (3 - -2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -595*y**2 + 31*y - 20. Let v(g) = -295*g**2 + 16*g - 9. Let a(t) = 6*q(t) - 13*v(t). Find the second derivative of a(z) wrt z.\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/55)\/((1260\/294)\/(-15)*7\/(-25)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 2 - w - 68 - 44 + 3*w as t + s*w and give t.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*i**3 - 44*i**3 - 29*i**4)*(1 - 4 + 0 - 8 + 3 + 37 + (-2 + 0 + 0)*(1 + 0 - 2) - 2 + 4 - 3).\nAnswer: -870*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -10969 and -3903153.25.\nAnswer: -3914122.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 12 = 3*p, -5*r - 27 = -p - p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 668, 690, 758, 896, 1128, 1478, 1970, 2628?\n\"Answer: 4*r**3 - r**2 - 3*r + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 35. Let g be f(10). Let j = 4.03 + -3.63. Sort j, 0.39, g.\nAnswer: g, 0.39, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-335 + 19*n + 335 + (-n - 3*n + 2*n)*(0 + 2 + 0))*(0*n + 0*n + 3*n) - 6*n + 5*n + 7*n**2 + 18 - 15 to m + i*n**2 + u*n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)*4*-1. Let v be 126\/24 + 3\/l. What is the third derivative of -v*u**3 + 2*u**2 - u**3 + 20*u - 20*u wrt u?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3 (c) -2\/7 (d) -83 (e) 8007 (f) 3 (g) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 502658045 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1135*j - 1030. Calculate s(1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54580 + -75866203\/1390. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 2*d + 221. Let k be o(-14). Solve 11*b + k = -42*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -941*c**2*m - 569*c**2 + 6*c + 1767*m**3 - 96 wrt m.\nAnswer: -941*c**2 + 5301*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24707 is divided by 2049?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-2)\/6 - -1). Let l = -1 + p. Let q = 160 + -162. What is the nearest to 0.1 in l, q, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a371343 - 3?\nAnswer: -a371346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z - 5 + 2 + 2 - 3. What is the units digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - 3518\/(-15831).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 4, v: 5, x: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/10 - 1) + (-322)\/(-115). Suppose -c = -0*z + z - 10, 0 = -4*z + 20. Suppose 5*s = c*b, -2*s - 2*s - 45 = 5*b. Put -4, q, b in ascending order.\nAnswer: b, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 767094.7 grams in tonnes?\nAnswer: 0.7670947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/24 + 3*a**3\/2 + 7*a**2 - 1. Let y be g(4). Solve -6 = -y*k - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -54 + 6 + -24.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -5 (c) -1\/4 (d) -202 (e) 0.4 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-231)\/(-66)*(-24)\/1386\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 4. Let t be g(-2). Let k(f) = f**3 + 5*f**2 - 8*f + 2. Let y be k(t). Solve 2*w - 5*j = -24, -3*j + y = w + j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 516, 967, 1462, 2013, 2632, 3331?\n\"Answer: 2*m**3 + 10*m**2 + 407*m + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 47*n**2 - 47*n**2 + 22*n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7595 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = -2*f - 47, 2*z + 3*f + 27 = 0. Sort -21, -3, z in increasing order.\nAnswer: -21, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 1039, 2412, 4491, 7366, 11127, 15864?\nAnswer: 21667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Sort -4, 5, n in decreasing order.\nAnswer: 5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 13 + 1 = 2*z, 2*z - 3*q = -16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(117))**2*1 - ((sqrt(78)\/sqrt(6) + 1)**2 + sqrt(13))) + (((sqrt(78) - sqrt(78)*2) + sqrt(78))*-3)\/(sqrt(24)\/sqrt(4)*1 + sqrt(6)).\nAnswer: -3*sqrt(13) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-42))**31*g**27\/(g**13*g))**(-3\/8) assuming g is positive.\nAnswer: g**(3867\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 808 and 8376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 20. Solve -13 = 4*b - 5*t, 5*b + 4*t = 2*t - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -66632?\nAnswer: 66652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 87 + ((2 + 3)\/5 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1796)\/(-150) - (16\/(-14))\/((-74)\/777)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -2*p. Let l(t) = 2*t - 1. Let z be l(-2). Let s = -2 - z. Calculate the greatest common divisor of s and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*v**2 + 3 - 3 + 14*v**2 + 23*v**2 - 4060*v to the form y*v + u*v**2 + g and give y.\nAnswer: -4060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12182256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140363?\nAnswer: 140363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213185 divided by -42637.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-99) - 32\/63\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*q**2 + 17*q**3 + 4*q**3 + 106*q**2.\nAnswer: 21*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Suppose -246 = w*x - 1350. Suppose 8*c - x = 2*c. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.092?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5732, -11448, -17144, -22814, -28452, -34052, -39608?\n\"Answer: k**3 + 4*k**2 - 5735*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 1. Let k = -6 + 6. Let l be c(k). What is the closest to 0 in 0.2, 2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470517 is divided by 500?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(60\/16)\/15)\/((-3)\/12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*r**2 - 6*r + 57*r**2 - 2 - 15*r**2 to g*r + k*r**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -628 + 641. Find the first derivative of -53*u - 59 + r*u + 18 - 138 wrt u.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5846124823 to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4 - 42*b**3 + 48*b**2 + 42*b - 45 = 0.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let m = -408123\/5 + 80864. Let d = -758 - m. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -236*j + 17. Let o(h) = -157*h + 11. Let v(m) = -8*o(m) + 5*w(m). Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -404, -410, -416, -422, -428?\n\"Answer: -6*m - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.3 (b) 1.07 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(-6)\/1. Let t(f) = -f**3 - f**2 - f. Suppose n = -0*n + 1, -5*a + 5 = 5*n. Let r be t(a). Solve r = -d*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3984 + 176?\nAnswer: -3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -b - 0*b. Suppose -2*q = 2*t - 6, 5*q + 0*q - 5*t = 15. Suppose q*g - b = -0*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85378633.2ns in weeks?\nAnswer: 0.000000141168375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*o + 41 = -f, 3*f - 2*o = 11. Suppose 5 = 2*k + 3*g, 4*k = -k + 4*g + 1. What is the greatest common divisor of k and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 9*m**2 - 1268*m - 6311. What is l(-5)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*s*z**3 + n*s*z**2 + 7495*n*z**3 - 437*n*z**2 - 46*s**2*z**3 - 19*s**2*z**2 + 20*z**2 wrt z.\nAnswer: -6*n*s + 44970*n - 276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/7))**(-14)*(x**7*x)\/x**(-4) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.28 to one decimal place.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -44774*y**2 + 44776*y**2 + 10*y**3 - 57 - 6*y**3. Let v(k) = 2*k**3 + k**2 - 29. What is -3*j(n) + 5*v(n)?\nAnswer: -2*n**3 - n**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((sqrt(54)*2)\/sqrt(6)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/8 + 252\/(-336) + 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2 + 4*n + 4. Let k(t) = -668 + 224 - t - t**2 + 225 + 218. Let u be (-60)\/14 + 6\/21. Let v = -8 - -7. Give u*k(p) + v*x(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 4.07. Let d = -1.2 - -0.9. Let r = -3\/16 + 53\/112. What is the nearest to r in d, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, -399, 5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(36) - (sqrt(36) + sqrt(324))) + (-3*sqrt(76)\/sqrt(4) + -1 + sqrt(38)\/sqrt(2))**2.\nAnswer: 23*sqrt(19)\/6 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 101 + 67 = -3*n, -n + 6 = -v. Solve -12 = -14*i + n*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 50\/22307 (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-4) - (-9)\/2. Let i = -2 + o. Let r = -6 + 15. Solve 4 = -i*k + r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (100\/(-5) - -20)\/(-10). Solve b - 72\/7*l - 96\/7*l**2 - 26\/7*l**3 - 2\/7*l**4 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18728381 - -3?\nAnswer: -18728378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.2. Let y = -0.3 - u. Let a(n) = -6*n - 3. Let m be a(0). Sort 5, m, y in ascending order.\nAnswer: m, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Let q = v - 0.1. Let k = q + -0.2. Which is the closest to 1? (a) -0.3 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302996021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 4572*s + 64136. Give g(-14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5050009072 + 2.505. Round g to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*m + 308 = 1728 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(72)\/(sqrt(9) + sqrt(81)) - (sqrt(8) - sqrt(96)\/sqrt(300)))\/((sqrt(400) - 2*(sqrt(400) - (sqrt(400)*-4 + sqrt(400)))) + sqrt(400) + sqrt(400)).\nAnswer: 33*sqrt(2)\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1928899 + -20202027.\nAnswer: -18273128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -21874, 0.2, 1, 2\/13, 43\/8 in decreasing order.\nAnswer: 6, 43\/8, 1, 0.2, 2\/13, -21874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = 5. Let o(h) = -h - 7. Let a be o(-5). Let m be -1*(a\/4 + 0). Does v = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 97. Let p(l) = 2075*l - 2. What is b(p(t))?\nAnswer: 4150*t - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3311069702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5365651 - 0?\nAnswer: 5365651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*j - 61*j + 51*j = 734*j + 48300 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x - 25*x + 2 + 10*x - 5*x**3 to the form p*x**2 + b*x + s*x**3 + q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1157, 1158, 1159, 1160, 1161?\nAnswer: 1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4)*g)\/(g\/(g\/(g\/g**(-5\/4)))))**(-24\/5)\/(g**6\/(g\/g**(-4)*g))**40 assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**7*r*r**(-7))\/(r**12\/(r*r\/(r\/r**(-1\/6))*r*r)) assuming r is positive.\nAnswer: r**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 7*k\/2 + 2.\nAnswer: -(k - 4)*(2*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r**2 - 11. Suppose -28 + 76 = 8*c. Is z(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*(-4 - 895\/5) + (-1248)\/(-156)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 42 = 3*r. Suppose 0 = -4*x - r + 346. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 12)*(-2*u + 2*u - 2*u**3).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*((-5 + sqrt(3)*4)**2 - sqrt(3)) - (5 + (3*sqrt(3))**2 - sqrt(432)*1)) + -3.\nAnswer: -619 + 340*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 48.14?\nAnswer: 24.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 plus -0.139353?\nAnswer: 230.860647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 times -0.049?\nAnswer: 2.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/19*w**2 - 2\/19*w**3 - 4\/19 - 10\/19*w = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t + 34*t - 25*t - 3850.\nAnswer: 44*t - 3850","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 15*a + 2 + 15*a)*(24453 - 8*a**2 - 24453).\nAnswer: 8*a**4 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390*a = 1507*a + 1137 + 969 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6284597km?\nAnswer: 628459700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhbb when four letters picked without replacement from {o: 4, b: 6, h: 5}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -554, -1078, -1588, -2078, -2542, -2974, -3368?\n\"Answer: n**3 + n**2 - 534*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2. Let x(b) = -2*b**3 + 11*b**2. Determine 11*l(z) - 4*x(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56089 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: Suppose 124*d = -92*d + 51*d - 14798850000. What is d rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138723.8 days to hours.\nAnswer: 3329371.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*v**2 - 240*v**2 - 255*v**2 + 0*v + 0*v.\nAnswer: 146*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 93719578*r**2 - 93719582*r**2 + 0.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m + 4. Let a(s) = 3 + 63*s - 2 - 56*s - 7 + 2. Determine -4*a(v) - 5*b(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 11*i = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**3\/6 - 43*w**2\/2 - 56*w + 1. What is the remainder when 11 is divided by d(47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + v + 30509 = 0, 30517 = 5*u - 3*v. List the prime factors of u.\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.625304 to 2 dps.\nAnswer: -3.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5, -1, 1, 1423, 4 in descending order.\nAnswer: 1423, 4, 1, 1\/6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18122327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*k + 21*k - 2409 = 1975 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218 take away 7?\nAnswer: -7.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136))\/(sqrt(16)\/sqrt(72) + sqrt(2))*3.\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 23*f + 30 = 21*f, 26 = 4*i - 2*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -5664 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2 + -1 + 0. Suppose 10*c = 137 + 23. Solve 0 = -5*z - c + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2432*o - 2432*o + 74*o**3)*(0 + 0 - 2*o)*(1 - 3 + 3)*(-1 - 2 - 3) to k + p*o**3 + z*o + d*o**4 + j*o**2 and give d.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 = -19. Let z(b) = b**2 + 6*b + 7. Let g be z(t). Suppose 4*m - 4 = 4. Solve -g = f + m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -2\/3, -7801, 3\/5, 2\/9 in ascending order.\nAnswer: -7801, -2\/3, 2\/9, 3\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/51, -3, 113, 2.96 in ascending order.\nAnswer: -3, 2\/51, 2.96, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.37603589 and -5.\nAnswer: -126.88017945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 - 20*v**5 - 4*v**5 + (2 - 2 + v**4)*(-v + 0 + 0) + v + 7589*v**5 + 15*v**2 - 7587*v**5 - 2*v.\nAnswer: -20*v**5 + 15*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 365371663 a multiple of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-28))\/((-6)\/21)*44. Let h = -1860 + 2740. What is the highest common factor of h and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29844 divided by 7461.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 16. Let v be 4*(3\/6)\/i. Solve 10 = -0*h + v*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*q - 1661071, -2*q - 295353 + 959809 = -3*g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 152412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -6 (b) 1\/5 (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/27 or -9155?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 31*m**6\/30 - 8*m**3\/3 - 8*m. What is the second derivative of b(k) wrt k?\nAnswer: 372*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let v = 23 + -21. Differentiate -4*y**4 - v + 5 + m*y - 3*y with respect to y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*x + 2, -7 = -2*x + 3. Suppose -1168 = 8*d - 10*d - 2*y, 0 = 2*y + a. What are the prime factors of d?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35*(-75)\/(-20))\/5.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000605274 to seven dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 + 2309 = 169*p. Let a(u) = -u**2 + 12*u - 13. Let v(i) = 2*i**2 - 24*i + 26. Let k(t) = 11*a(t) + 6*v(t). Determine k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = s - 39 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(117)*2 + sqrt(117)) + sqrt(117) - sqrt(117) - sqrt(117))**2 + sqrt(117) + 1 + 3)*-2.\nAnswer: -67634 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 19*a - 2 + 29*a + 45*a.\nAnswer: 93*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/112*4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-20) - (79725\/6)\/(-5). Suppose -m + 1 = 2*c - 8, 2*c - m - 7 = 0. Suppose 35 = 4*l - c*a - u, 0 = 3*l + a - 2019. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 16 = 3*d, 0 = -3*n - d + 536487 - 536499 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001094 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 4*u - 4. Let d be o(-6). List the prime factors of 1*((0 - d) + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 4. Let a = 274 + -269. Suppose a*d - 6*f = -4*f - 20, 2*d = 5*f - 8. Determine g(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1796 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*9\/(-54)*-8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -8*d**2 + 18*d - 3483. Let q(k) = 5*k - 6. Give -2*g(a) - 7*q(a).\nAnswer: -3*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6518 + -6520. Sort u, 2\/11, -6, 1.\nAnswer: -6, u, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*q + c + 1, -q - c - 1 = 0. Suppose -b - 3 = 13*k - 15*k, 0 = -5*k + 20. Solve 0*v + 1 = -3*v - 4*i, q = -b*v - 4*i + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*y - 7, q + 1 + 0 = -2*y. Suppose q*n = -2*z + 37, 8 = z - 5*n + 27. Suppose -z*t + 8*t - 64 = 0. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-54)\/(-45))\/(21\/(-560)*-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**3 + 4*g - 1. Let i(b) = 39*b - 39*b - 35*b**2 + 38*b**2 - 62 + 59. Give 3*h(q) + 4*i(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418821 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -597464 and 10.\nAnswer: -5974640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2417 + 2431.17. What is s rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x - 198. What is the highest common factor of 44 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/7 + 5)*(-1)\/(-9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:19 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.12 - 1.62. Which is the smallest value? (a) -2 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 401.8 + -394. Let j = -8.65 - 1.15. Let h = v + j. What is the closest to h in -2\/5, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2009 - -2759. Suppose b = 8*l - 3880. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 - g - 2. Suppose 19*d + 17 = 2*d. Let p(z) = 37*z**3 + 5*z + 5. Let j(u) = d*t(u) + p(u). Find the second derivative of j(w) wrt w.\nAnswer: 216*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 59\/4. Let m = -4 - -6. What is the biggest value in m, k, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 14*c = 8. Let w(q) = q**2 + q + 1. Let n(p) = -7*p**2 - p - 6. Calculate c*n(i) + 6*w(i).\nAnswer: -i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 3\/5, 12.87, -2\/17, 5?\nAnswer: 12.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 4. Let f be n*3*1\/(-2). What is the nearest to -0.1 in f, 1\/5, 3\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(2*z - 27*z - 4*z + (0 + 1 + 0)*(23*z + 24*z + 2*z)) + (-3 + 0 + 1)*(2*z + 3*z - 3*z).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:33 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12 - (6 + -3)\/(0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 3*x + 4. Let s(i) = 1. Give -q(f) + 3*s(f).\nAnswer: 2*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -2235460?\nAnswer: -2235452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/13 - -76\/91. Which is the closest to y? (a) 4 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 146 - 135 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6059188s in milliseconds?\nAnswer: 605.9188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 3. Let t be m(-2). Let l be (6\/63)\/(t\/(-3)). Let o be 16\/96*((-20)\/(-4) - 2). Is l at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17603 and 98687?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 725400 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 6*n**4 - 33*n**3 + 36*n**2.\nAnswer: 3*n**2*(n - 4)*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/8))\/d)**(-6\/11)*(d**(-1\/4)\/d*d)**20)**(-15) assuming d is positive.\nAnswer: d**(3345\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 835117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/5840 and -77\/45.\nAnswer: 52560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105616895?\nAnswer: 5, 4463, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-6)*(-3)\/1. Let i = 142 - 565\/4. Let v(n) = n**3 - n**2 - n. Let f be v(-1). Which is the nearest to f? (a) 2\/5 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104348 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(32) + (sqrt(16)\/(sqrt(24)\/sqrt(3)))**2.\nAnswer: 2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 91) + 37170\/581?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 130155077\/(-29272152) + 6\/(-63). Let a = 2\/40209 - s. Find the common denominator of 53\/177 and a.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 + 4*r**2 + 12*r - 32. Let w(y) = y**3. Let n(b) = t(b) + 4*w(b). Let u be n(2). Factor 2\/9*d**3 + u + 8\/9*d**2 + 2\/3*d.\nAnswer: 2*d*(d + 1)*(d + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**5\/7 - 124*a**4\/7 + 64*a**3\/7.\nAnswer: -4*a**3*(a + 16)*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most -0.356385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11442 - 1.88558. Put o, 0, -5, 17, 0.03 in descending order.\nAnswer: 17, 0.03, 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2318602 * 7.4\nAnswer: -17157654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w - 140 = 0. Let x = 46 + w. Calculate the lowest common multiple of 3 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/10 + 4*q**3\/3 + 32*q. Let u(o) = 0. Calculate o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 z, and 1 n when four letters picked without replacement from jjwhnzj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from eeeeehheeee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {t: 7, v: 1, p: 7, g: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjp. Give prob of sequence jjp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o + 20 = 0, 2*g + 1 = -o. Let d be g\/3 - (-102)\/(-18). Sort -0.5, 3, d in ascending order.\nAnswer: d, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10983310 is divided by 246.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)\/p**(-34))\/((p**(-1\/3)*(p\/(p*p*p\/(p\/p**(-4))))\/p)\/p**40) assuming p is positive.\nAnswer: p**(1733\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(1\/10)\/q))\/q*q)**12)**(-5\/3))**(1\/8) assuming q is positive.\nAnswer: q**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 3 (c) 0.3 (d) 2\/3 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5\/7 - 8257*g**4\/7 - 5674618*g**3\/7 + 9477890*g**2\/7 - 271269*g - 1896129\/7 = 0.\nAnswer: -1377, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 6 (c) 3\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26944 and 67360.\nAnswer: 134720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156716320?\nAnswer: 2, 5, 61, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/15 + (-6)\/9)*-3. Solve 2*f = -0 + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*w - 663 = -211*w. Let p = -194 - w. Let k = 388 - 199. Calculate the greatest common factor of k and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280464862 to the nearest integer?\nAnswer: 16747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98453 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: Collect the terms in 2*d + 4*d + 2*d + 2*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -64*g**2 - 26*g. Let v be (-4)\/38 - 1276\/209*-1. Let w(t) = -7*t**2 - 3*t. What is v*p(i) - 52*w(i)?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -4, 646 in decreasing order.\nAnswer: 646, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3189 + -950792.\nAnswer: -950792.3189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 68*m + 631. Let p be b(-11). Solve z = 5*n + 22, 37*n = p*z + 42*n + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -222, -227, -234, -243, -254, -267, -282?\n\"Answer: -k**2 - 2*k - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/179779 - -2402027223\/719116. Let i = -3359 + k. Find the common denominator of -123\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22004 - -1.125\nAnswer: -22002.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14 + 23*k - 16*k - 5*k. Let h be z(7). Let v be (2 + -1)*(21\/(-19) - -1). Is v less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 - ((-9 - -4) + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**8\/168 - 17*z**6\/120 - z**5\/20 - 21*z**4\/8 + 8*z**2 - 7*z. What is the third derivative of a(k) wrt k?\nAnswer: 120*k**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 16*x**2 - 22*x - 30. Let f be b(-9). Let y be 12\/(-18) + ((-220)\/f)\/(-1). What is the greatest common factor of y and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7061 + 5504. What is the remainder when x is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14\/(t\/(t**0*t))*(t**(-1\/18)*t*t)\/t**(-5) assuming t is positive.\nAnswer: t**(377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*l**3 + 123750*l**2 - 55060*l + 6120 = 0.\nAnswer: -306, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-854)\/(-183))\/(4\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -23224 less than or equal to -23226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/1460, -1\/9, -15 in ascending order.\nAnswer: -15, -1\/9, -3\/1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.4418.\nAnswer: -7.3254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -20*m**2 - 32 - 25*m**2 - 6*m**2 + 10*m + m. Let l be s(6). Let u = 357 - l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -257, -22858, -45463, -68072, -90685, -113302, -135923?\n\"Answer: -2*j**2 - 22595*j + 22340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3 + 3*q**3 + 2*q + 6 + 0*q as x*q + u*q**3 + n + p*q**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.36 from -360.\nAnswer: -360.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 2:52 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28b7 + -50?\nAnswer: -2907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 4007.\nAnswer: -3\/4007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:05 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 3 - 10) + (12 - 8) + -8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/5 + 9*l**2\/5 + 36*l\/5 = 0.\nAnswer: -3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*a + 4 = 0, a = 2*r - 4*a - 31. Suppose 4*t = -0*p + p + 22, r*t - 17 = p. Let j be 0 + 4 - 8\/1. Put j, -3, t in increasing order.\nAnswer: j, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((560\/(-21))\/(-40))\/(1\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1132 + -457. Suppose 0 = -39*l + 44*l - c. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 2}. What is prob of picking 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 2638460?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114267 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105133 and -1.882.\nAnswer: -197860.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 b when four letters picked without replacement from bttbttddddbtbttb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 v when three letters picked without replacement from {r: 2, t: 2, c: 2, v: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -624961\nAnswer: 4\/624961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5982*x - 59576. What is a(-10)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 2644. Let r(f) = -7059*f**2. Give o(r(h)).\nAnswer: -99658962*h**4 + 2644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 132495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18\/(-8)*(-1008)\/(-8 + 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.2 (b) 1\/2 (c) -4 (d) -27.5 (e) 1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qniqqnsiiiqqn. Give prob of picking 1 n and 1 i.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, e: 5}. What is prob of sequence sse?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -4, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o**4 + 159 + 5*o**3 + o**3 - o + 143 - 302 in the form t*o**4 + g*o**2 + j*o**3 + p + w*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 34648808?\nAnswer: 34648810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 6 - (-12)\/((-24)\/22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 - 2 = -2*h, 0 = -3*i + 3. Suppose 3*j = h*u, -4*j = -0*j. Suppose -g + 15 - 3 = u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -128 + ((-1798)\/(-261) - 2\/(-18)). Is b > -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291511360?\nAnswer: 2, 5, 7, 181, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/40)\/((-2618)\/748*1\/7).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 17017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 9. Let w be 75\/(-18) - (-4)\/24. Let x(d) = d**3 + 6*d**2 + 7*d + 17. Let j be x(w). Let s be o(j). Solve 5*i = i - s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -1 + -4 + 5 - (56 + -61)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(24) + sqrt(216)) - -4*sqrt(280)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: 7623\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 53940471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d - 2?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -13, -36, -69, -112, -165?\n\"Answer: -5*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3342*127.1.\nAnswer: -424768.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2599402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 7001 = 19505. Let l = -1395 + a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 14 = 14. Solve -5*a + 0*a + 2*h = -5, -a - y*h + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12771 and 594?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.05, 0.0704, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 75376\nAnswer: 150752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -111*z + 1. Let a be y(1). Let q = 875\/8 + a. Calculate the common denominator of q and -17\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a - 5*n, 3*a - 2*a - 7 = 5*n. Let z(c) = 3*c - 4*c + 0*c + a. Let t be z(10). Which is bigger: t or -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139080540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564114 and 1017372.\nAnswer: 641961732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkwj when four letters picked without replacement from {k: 4, j: 5, r: 1, w: 1, g: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 - 2*b**2 + 2*b**2)*(b - 7*b + 4*b) + 55*b**3 - 37*b**3 + 68*b**3)*(-9*b**2 - 2*b**2 + 19*b**2).\nAnswer: 704*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let d = -136794 + 136794.048. What is the third smallest value in x, -3\/5, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56*(-51)\/5712)\/((2*1)\/96)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25436567 (base 8) to base 16.\nAnswer: 563d77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*q + 63*q - 53*q + 2772 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v + 13. Suppose 22 = -3*w - 4*f, -v*w - 3*f = f + 24. Is w\/(-11) - 30836\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 10 + 10*i - 7*i.\nAnswer: 2*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 6354*d**2 + 4*d**3 - 6406*d**2 - 2*d**3)*(-4*d + 0*d + 3*d).\nAnswer: 2*d**4 + 52*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*f - 15, -42*a - 3*f = -37*a + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 12. Suppose -3*i = -68 - 85. Calculate the remainder when i is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 133770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 3*z + 22, 5*n = -10*z - 0*z + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(68) + -5)*-1 + (sqrt(68)*-4 - sqrt(68)) + 1 + 5 + sqrt(68) + sqrt(68) + -3)**2.\nAnswer: 40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-3)\/(-4) - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19575 - -0.10425. Which is the fourth smallest value? (a) 0.5 (b) 333 (c) -2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 13. Let m = -1102 + 1094. Determine u(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28 = 4*v, 29 = 2*r + r + 5*v. Suppose 1281 = 4*t - 3*a, -r*t - a + 525 = -426. Is t\/8*(-120)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(-93 + 48412\/520)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.724834 litres in millilitres?\nAnswer: 5724.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 57. What is the greatest common divisor of 75 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.214 (b) -2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1)\/((-2)\/(-2)). Differentiate o**3 + 1 - o**3 + i*o**3 - 3 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 54, 80, 106, 132?\n\"Answer: 26*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -337.9 + 336.537. What is y rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2003012341 + -4?\nAnswer: 2003012332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 163 and 0.4.\nAnswer: 65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.3 (b) 56 (c) 0.0208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6056, -24183, -54378, -96629, -150924, -217251?\nAnswer: -295598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*((-195)\/(-10))\/((-49)\/(-490))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0*c + 3*c**2 + 3*c - 4*c - 1. Let v be x(2). Let m be (v\/6)\/(3\/4). Solve 0 = -m*u + 10 - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 9) to base 15\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 6349154.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1 + (j + 4 - 4)*(-1 - 2 + 1) - 4*j - j + 6*j - 4*j + 2*j + j)*(0 + 0 - 5*j**3).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 92823243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 10, -2\/3, 3\/596?\nAnswer: 3\/596","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 + 17*f**2 - 4*f**2 - 9*f**2 - 10*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 15771.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 8:08 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2. Let f(d) = -d**2 - 25*d - 22. Let k be f(-24). Let i(g) be the first derivative of 0*g - 2 - 2\/3*g**3 + 0*g**k. Give i(m(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 + 53*c**2*v**3 - c*v**3 + 159*v**3 wrt c?\nAnswer: -8*c**3 + 106*c*v**3 - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30636, 244941, 826662, 1959507, 3827184, 6613401, 10501866?\n\"Answer: 30618*s**3 - 21*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -2*i - 57 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -2\/39*t**3 - 6\/13*t**2 + 1\/26*t**4 - 8 + 0*t. Find q, given that i(q) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 9661950?\nAnswer: -9661948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 25*c + 27*c**2 + 36*c**2 - 53*c**2. Does 45 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256269\/77 + 23427\/7. Let y = j + -1461\/77. Let p be (-6)\/39*(-2)\/(-2). Which is the biggest value? (a) p (b) 1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 586*f**3 - 13572*f**2 + 47288*f - 44960.\nAnswer: -(f - 562)*(f - 20)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 646 - 294. Suppose 0 = 347*q - k*q + 20. Let c be (-6)\/(-21) + 47\/7. Solve -5*v = -4*f - 41, 0 = q*v - f - 31 + c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 2 + 80 + -89 + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028664 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872 = -4*o + 3*n, 3*o - 665 = -0*n + 5*n. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/(6\/144). Let j be (-23)\/104 - z\/52. Put 0.1, -1, j in descending order.\nAnswer: 0.1, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125156 and 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223080 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: Collect the terms in -2*z**3 - 4*z - 11*z + 15*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 130393, 20 in descending order.\nAnswer: 130393, 20, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174097593, 174097595, 174097597, 174097599, 174097601?\nAnswer: 174097603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257698?\nAnswer: 2, 7, 79, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.07 - -6.289. Let s = 0.519 - n. Which is the closest to -50? (a) -2\/3 (b) -2\/15 (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w. Let z(o) = o. Let s(u) = 6*u. Let b(q) = s(q) - 3*z(q). Give g(b(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 5*z**2 - z**2)*(3*z**2 - 4*z**2 + 0*z**2) + 23 - 16*z**4 - 8 - 17.\nAnswer: -14*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {f: 3, b: 15}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**5 + 141814*r**4 - 39*r**2 - 991948*r - 15 wrt r?\nAnswer: 40*r**3 + 1701768*r**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:39 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 = 2*w, -3*p + 0*w = -5*w + 16. Let t be (-3 - -2) + (72\/32)\/p. What is the closest to t in 0, 9, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 129, 143, 161, 177, 185, 179, 153?\n\"Answer: -f**3 + 8*f**2 - 3*f + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*a + 106*a - 75*a - 19317 - 885 = 0 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 - 4 = 0. Suppose m = -t + 21. Solve 2*c - 3*c = 1, -5*c + m = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -4.\nAnswer: -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/897*1924\/1184?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -11. Suppose -4*t - 3 = -c*t. Suppose -4*n = 5*i - 2, t*n - 3*i - 11 - 4 = 0. Solve -5 + 14 = -n*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**3 - 380*s**2 + 7*s + 273. What is o(-38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10595?\nAnswer: 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88097, 176187, 264273, 352355?\n\"Answer: -2*y**2 + 88096*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 4*u + 2*u. Let t be (-162)\/u - 2\/(-8). Let k = t - 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.8 and -114388.1.\nAnswer: 3637541.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 10 - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-2)\/(-4)*4. Let z be (-2)\/(-1)*((-806)\/91 + 9). Suppose 2\/7*b**g + 0 + z*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6210*x**2 - 16*x - 20. Let y(j) = -1240*j**2 + 3*j + 4. Let s(c) = -3*u(c) - 16*y(c). Let q(t) = 4*t. What is q(s(n))?\nAnswer: 4840*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from feefefnevwawe?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 9) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*x + 58 - 70, 5*t + 5*x - 65 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25043345, 50086682, 75130019, 100173356?\nAnswer: 125216693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:26 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 69 = 10*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*m - 14 = 76*m. Let y be m\/21 - 480\/(-1575). Let w be (-2)\/(0 + (-2)\/(-3)). What is the closest to y in 1, w, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 8*n**2 - 4*n = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 7*n**2 - 2*n**2)*(-4 + 4 + 3*n) - 7 + 4*n**3 + 2 + 8.\nAnswer: 25*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 862918289*o**3 + 423816861*o + 1 wrt o?\nAnswer: 5177509734*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 738556 by 184639.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3013 (base 4) to base 3.\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (120 + 35) - (15 - 55).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(9338\/21)*-4.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*r - 427*r + 212*r + 100583 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17675\/2 + 9003. Let j = f - 165. Factor j*o**5 + 0*o**3 + 0 - 1\/2*o + o**2 - o**4.\nAnswer: o*(o - 1)**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:24 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.3, 75, 0.2, 2, 116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28522563 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -206e93 (base 15) to base 11\nAnswer: -963820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1 (b) -5 (c) -0.39 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11024 and 13022789.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d1 - 3?\nAnswer: 6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70065725.\nAnswer: 5, 479, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.5616366.\nAnswer: -0.05616366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*w**4 - 17872*w**3 - 11079655*w?\nAnswer: -1440*w**2 - 107232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/350 - 3*z**6\/200 - 3*z**5\/100 - z**4\/40 + 6*z**2. Factor l(a).\nAnswer: -3*a*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114650 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296 + 301. Let z be (-2)\/(-8) + (-2)\/8. Solve z*b - 25 = w*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 16) to base 7.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w - 1\/210*w**7 + 1\/12*w**4 + 0*w**3 - 13\/120*w**5 + 0 - 23\/480*w**6 - 59*w**2. Let p(g) = 0. Calculate g.\nAnswer: -4, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/18 + 1 - 0\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/44)\/((-1)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9056.645ml in litres?\nAnswer: 9.056645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 2.3. Let d be ((-22)\/(-154) + 27\/7)\/40. What is the second smallest value in d, 27.4, o, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 11*p**2 + 8*p + 15. What is the units digit of v(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58340*i**3 + 40903*i?\nAnswer: -350040*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 34340?\nAnswer: -34400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(144)\/sqrt(2) + (sqrt(18) - -1*sqrt(648)))\/(((sqrt(72) - (sqrt(72)*1 + sqrt(72)))*-1)\/sqrt(8)) + -4)**2.\nAnswer: -72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, x: 6, s: 1}. Give prob of picking 2 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14*(-4)\/24 - 2. Let a be (2\/(-52))\/(1\/(-4)). What is the third biggest value in a, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/4 + -4)*5\/40\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0283354 + -0.1516634. Let l = 0.18 + u. Round l to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 3*u = -7*j - 101948, -2*j + 5*u + 18536 = 0. Calculate the smallest common multiple of j and 8.\nAnswer: 18536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35790, -35789, -35788, -35787, -35786, -35785?\n\"Answer: s - 35791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12532 + -24588. Let o = 18315 + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145337 - 120.\nAnswer: -145457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(9\/6 + 3). Let o = j + -15. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.91 and 1.6.\nAnswer: -4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34947.8km to centimeters.\nAnswer: 3494780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -2*b. Let m(q) = -q + 1. Let o(t) = 6*t. Let n(x) = 5*m(x) + o(x). List the prime factors of n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 18. Let d be (-2 + -1)\/(-3)*w. Let p = -67 - -75. Solve -4*q + 2*q + p = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:48 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:26 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/((-18)\/120) - -2. Find the first derivative of 9 + u*r**2 + 13 - 34 wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769646 + -769641.41043. Let r = 4.58 - t. What is r rounded to four dps?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 18 + p**2 - 3*p**2 - 5*p**2.\nAnswer: -p**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 19*h - 50. Let b be x(-17). Let t = b + 13. Sort -13, -4, -5, t.\nAnswer: -13, -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 69776.\nAnswer: 348880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-8) + 0 - -5. Solve 3*l = -3*a, -k*a - 6 = -3*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/40)\/7*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -1. Let z = x + 43. Suppose 2*p - 34 = l, -l - 2*l = 2*p - z. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g + 41. Let k be m(-6). Suppose 0*p + 5 = 3*w + 2*p, -3*p - 21 = -5*w. Calculate the highest common factor of k and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*o + 24, 3 = 2*o - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1602*n*v**4 + 1027*n + 2 wrt v?\nAnswer: -6408*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*n = -204276 + 204266, -2*n + 160 = -87*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 13645 = -13654 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 3070272*g + 785547512832 = 0. Calculate g.\nAnswer: -511712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 2891?\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 184, 275?\n\"Answer: 91*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 1798132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 173.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-20)\/(-14))*49\/14. Let v(m) = m - 2*m + 3 - 3 - 4. Let h(c) = -3. Calculate y*v(j) + 3*h(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 130*t - 9234. Let h be d(-51). Let p(r) = r**2. Let y be p(0). Sort h, -25, y.\nAnswer: -25, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 53*s - 35*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -470, 88876 in increasing order.\nAnswer: -470, -1, 88876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 20. Let z = 56 - 39. What is the remainder when z is divided by r(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 125 = 3*t - 2*r, -t - 33 = -r. Is (-235)\/t - (-4)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7280263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12882*z + 149054 + 18412 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128770 times 4.3?\nAnswer: -553711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14350015\/35 - 6\/14. Suppose -3*o + r = -4*o. Round o to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572*d**3 + d - 59 + 190*d**3 - 2*d**4 + 198*d**3 + 183*d**3 + 2*d**2 to q*d**4 + a*d**3 + x*d + f + t*d**2 and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31095601\/8437 + -47914\/13. Calculate the common denominator of 15\/472 and t.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 - (-13 - (4 - 20))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 125. Let y be (6\/(-4) + f)*684\/6. Is y equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y + 135. Let a be v(-6). Suppose 205 = 16*l + a. Let d(c) = 2*c - 18. What is d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4431530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 58 = -w - 30, 8 = x + 3*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*z + 33, -5*v - 5*z + 19 = -46. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 5 + 0\/2. Suppose 107 = 13*g + 40 + 2. Suppose 3*h = 4*b - 1082 + 3115, g*h + s*b = 3400. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*w = 8*w + 119, -w - 7 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 1\/3*y**4 - 2\/15*y**6 - 10*y + 1\/21*y**7 + 0 + 0*y**5 + 0*y**2 - 1\/3*y**3. Factor s(h).\nAnswer: 2*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -1494196?\nAnswer: 239071.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 6. Let y = 6.3 - u. What is the smallest value in y, 1\/3, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 - 7\/2*w**2 - 23*w - 1\/3*w**3. Let q be (-2)\/4 - 18\/4. Determine b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1602, 1632, 1698, 1818, 2010?\n\"Answer: 3*a**3 + 9*a + 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*10*-1. Let p = 99 + -102. What are the prime factors of ((-26)\/b)\/((3\/(-5))\/p)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 15 - 9*z - 54 + 24.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1003)\/354 + (-3)\/(-2)*2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(3))*-1 + 3 + (sqrt(108) - (-1 + sqrt(108) + -2 + sqrt(108)))**2).\nAnswer: -726 + 222*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/4)*i)**32*(i**1)**(-19) assuming i is positive.\nAnswer: i**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -7. Let r = 1 - y. Calculate the least common multiple of 3 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.132 - 6.132. What is the third smallest value in x, -6, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5)**(1\/8) assuming t is positive.\nAnswer: t**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -228268487 - 1?\nAnswer: -228268488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-39)*m*m**(1\/31)*m)\/(m\/(m**(-11)*m*m)*(m*m**(11\/6)*m)\/m) assuming m is positive.\nAnswer: m**(-9263\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.75816 micrometers in nanometers?\nAnswer: 71758.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) -6 (c) 2\/19 (d) 5 (e) -526\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77903692.876 take away 8.13?\nAnswer: -77903701.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 105.\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 26*b + 19. Let q(n) = n - 4. Calculate the least common multiple of q(6) and s(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 26006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = 2*b + 327, b = m - 10 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 56. Which is smaller: 1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 8:09 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 2. Calculate the remainder when g(-5) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-2)\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/72 and -93\/28.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18331\/3395 - 2\/3395. Let s = -5 - o. Put s, -4, -3 in decreasing order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times -6?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47080 and 3520.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.11 - 0.29. Let z = 7 + n. Let k = z - 1. Which is the second smallest value? (a) -3 (b) -1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1405*t**5 + 132*t**4 + 2*t**3 - 36947*t wrt t?\nAnswer: -28100*t**3 + 1584*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/((-2)\/69). Suppose 0 = 3*y + 108*h - 105*h - 849, 3*y = 3*h + 807. Calculate the highest common divisor of s and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**3 + 249*a**2\/2 - 2187*a + 5278. What is the derivative of m(w) wrt w?\nAnswer: -12*w + 249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmum when four letters picked without replacement from {m: 6, u: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -1249\/26. Do 0 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2798921785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 33, 32, 11, -36?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 4*t - 12. Let o(x) = 1. Let f(q) = -g(q) - 6*o(q). Let r be f(-4). Is r*(-3)\/9*-3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Let v be p(4). Suppose i - 3*i + v = 0. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Suppose t = 2*i - 19. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000913954 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3840*t**2. Let b(d) = 14*d**2 + 1. Give b(q(j)).\nAnswer: 206438400*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334298866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = w - 28, 2*w - 9 = -4*o + 17. Suppose 4*v - w*v - 3 = 0. Calculate the greatest common factor of 21 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Factor 3*i**3 - 3*i**2 + 0*i**r + 3 - 4*i + i.\nAnswer: 3*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 i when four letters picked without replacement from {i: 5, c: 9}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 4081?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from surjjuusjjusu. Give prob of sequence sr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-12)\/(-9)*(-3)\/(-2). Let z be 0 + (-484)\/(-3) + (r - -1). Let i = z + -159. Which is the second biggest value? (a) -1 (b) i (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 divided by 1.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1001000010 (base 2) to base 14\nAnswer: 2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 85. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 13) to base 4\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**4 - l**3 - l**2 - l - 1. Let j = -2 - -1. Let f(k) = -k**4 - k**3 + k**2 - k - 1. Let g(u) = j*f(u) + c(u). Factor g(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2294 divide 449098674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192970021 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17d14b - 4?\nAnswer: 17d147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154759.\nAnswer: 11, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -13*g + 328. Let f be m(24). Solve -14*i = -18*i + f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:29 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 148*c - 154*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 12, -3, 5, -4, 1.\nAnswer: -4, -3, 1, 5, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/15)\/k*k*k*k\/k**(-13\/5))\/(k**(8\/3)*k**(7\/4)) assuming k is positive.\nAnswer: k**(7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 32, 86, 194, 374, 644, 1022?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*n - c**3*w + 10931*c**3 + 2*c**2*w + 3154*c**2 + 2*c*n*w + 2*c*n - 2*n*w wrt c.\nAnswer: 6*n - 6*w + 65586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j + 214*j + 124*j - 326*j**2 - 115*j + 356*j**2.\nAnswer: 30*j**2 + 311*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 17) + -24 - -14 - 21\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5299*q - 2242. Is v(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 5\/3, 2, 3, -33\/19?\nAnswer: -33\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541622757.\nAnswer: 3, 13, 163, 85201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/(-266))\/((-1)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23101020032 (base 4) in base 7?\nAnswer: 34051331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 129351*j**2. Let q(d) = -2*d**2. Calculate u(q(p)).\nAnswer: 517404*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 945221742 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.1, -4\/11, -1 in decreasing order.\nAnswer: 2\/13, 0.1, -4\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 584\/181?\nAnswer: 584\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 + 239. Let k = 7 - 4. Solve 19 = w*a - k*t, 2*t + 11 = -3*a + 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7310.019 kilograms in nanograms?\nAnswer: 7310019000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 1032548.\nAnswer: 1032548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*f = -f - 5, -5*f - 8 = 3*h. Put -4, h, -12 in decreasing order.\nAnswer: h, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let k be (3 - 2) + 5*1. Let q be o\/(-21*(-3)\/k). Which is the smallest value? (a) -1 (b) q (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16132 and 41884.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*g + 2*o + 30, 25 = -5*o. Let m = -2 - -1.9. Let q = -0.9 + m. What is the nearest to q in -5, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1821, -4675, -9429, -16083, -24637, -35091?\nAnswer: -47445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -1\/2, 204, 0.3, 1\/3, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2001*h + 14022. Let l(t) = 4*t**2 + 6*t - 3. What is the remainder when l(4) is divided by f(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**2 + 16*q + 4. Let l(x) = -10*x**2 + 24*x + 6. Suppose 2*h - 10 = -0. Let c(p) = h*l(p) - 7*i(p). List the prime factors of c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 w when four letters picked without replacement from pwwwwwwwwpp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:41 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {u: 7, y: 2, v: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p*p\/((p**(-2)*p)\/p)*p*p)\/(p**(-5)\/p**0) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 4*f - 4, 0 = -5*n + f + 3*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2363*u**7\/7 + 3242*u**3\/3 - u**2 - 2867. Find the third derivative of f(v) wrt v.\nAnswer: 283560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148296810 to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9977, -19959, -29941?\nAnswer: -39923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -24*x**3 - x**2 - 3. Let l(d) = -47*d**3 - 2*d**2 - 5. What is -3*l(f) + 5*y(f)?\nAnswer: 21*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16656 is divided by 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132739\/119944 - 6\/1363. Find the common denominator of (-3)\/(-12) + 44\/(-10) and v.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 3*o + 17 - 579*o**2 - 12 + 0*o + 34 wrt o?\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - o - 25 = 0, 4*o + 34 = -4*q + 2*o. Calculate the common denominator of -25\/11 and q\/(-16)*(-34)\/(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -726328 rounded to the nearest one thousand?\nAnswer: -726000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058863479.\nAnswer: 3, 17, 20762029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223156 is divided by 12631?\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/(-63))\/((-18)\/(-12748)). Let v = h - -1837\/6. Let i = -7905 - -63317\/8. What is the common denominator of v and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y - 376. Let k be 4\/(-18) + (518\/(-18) - 1). What is the remainder when 3 is divided by y\/30 + 4\/k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 22814.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 120717 = -3*o - a, -4*a - 12 = 0. Is o\/20 - 8\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12*s - 180 = 9*s, 3*z + s - 112 = 0. Calculate the greatest common factor of z and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -871\/7 + 124. Let t = 0.02 + 0.06. Let y = 3.08 - t. Sort d, -0.3, y in ascending order.\nAnswer: d, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a + 140 = 4*z + 58*a, 4*a = -2*z + 78. Suppose 0 = 3*f - 73 + 19. What is the remainder when z is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32514 - -32513.9. Which is the nearest to 1? (a) 4.6 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 1.2. Which is the closest to -0.1? (a) -1 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 51 - 12. Let x(b) = 7*b**2 - 11*b + 11. Let g be x(1). What is the highest common factor of g and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 32*h + 17. Let d be q(6). Sort 3, -23, d in descending order.\nAnswer: d, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.043496um?\nAnswer: 0.000004043496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 13 + 15. Let f = -21 - y. What is the remainder when 16 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 4. Let j be y(-7). What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 6:08 PM?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5 - -4) + 3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.37829 rounded to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 447 and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(12)*1) + sqrt(6) + 2*sqrt(12)\/sqrt(2))\/(sqrt(288) + sqrt(288)*1 - sqrt(96)\/sqrt(3)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 47 (c) -3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -461*l + 22128. What is v(48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*f**3 - 31*f**3 - 82*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127889.8764 rounded to the nearest 10?\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32884 is divided by 10956?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14884481 * -12.4.\nAnswer: 184567564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:12 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(33)\/sqrt(176).\nAnswer: -1 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90602 divided by -178?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 23064*r**3 - 231040*r**2.\nAnswer: 4*r**2*(r - 10)*(r + 5776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(2057)*-2*-1*-6*2)**2.\nAnswer: 170615808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y - 9. Let i(a) = -a - 1. Let k(v) = 2*f(v) - 22*i(v). Let p(x) = -2 + 3*x - 2*x + 3. Determine -k(b) + 3*p(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.171*-11793.\nAnswer: 2016.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2919366 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.1, 5\/4, -245595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39308232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:07 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 + 36*f + 36. Let v(m) = -m - 1. Calculate -l(g) - 36*v(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4.5. Let d = -0.3 + s. Put d, -1, -2 in ascending order.\nAnswer: -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244*w + 1239*w - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12133 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c - 5?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 471\/5. Let b be (-34)\/4*(-18)\/(-45). Let j = -19\/5 - b. Put -0.5, j, s in increasing order.\nAnswer: -0.5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -22. Let h be (-2)\/d + (-65)\/(-20). Suppose 0 = 2*z - h*z + 19. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(605)*-3)**2*1 + -3*(sqrt(605)*-1)**2 + (4 + 0 + sqrt(605) + -1)*5.\nAnswer: 55*sqrt(5) + 3644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 + 1 = 0. Solve 5*s = 5*a, 0 + 9 = -5*s + y*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 37200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/7)\/o)\/o)\/o**(1\/4) assuming o is positive.\nAnswer: o**(-47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 95778.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 12*r + 12. Let u be n(-5). Suppose u*a = 8 - 12. Let q be 40\/12 + (a\/(-3) - 1). Solve 0 = -q*o + 3 - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 44 = -3*y + 28*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 10*c**2 + 32*c + 335. Calculate r(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3990, -7680, -11406, -15174, -18990, -22860?\n\"Answer: -i**3 - 12*i**2 - 3647*i - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**43\/((t\/(t\/(t**(2\/85)\/t)))\/((t*((t**(-13)\/t)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(2378\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w + 4*z - 13, -z = -w - 3. Which is smaller: -1\/184 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6 - 372\/(-24). What is the highest common divisor of v and 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/4*(-3)\/(-27))\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(7)))**2 - (5 + 1 + sqrt(7))**2.\nAnswer: -12*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 6. Let x(g) = g - 1. Determine -3*n(f) + 6*x(f).\nAnswer: 3*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40210\/69037 - 4\/2227. Let q = 85\/93 - x. Suppose 0 + 2\/3*d**2 + 0*d**3 + q*d - 2\/3*d**4 - 1\/3*d**5 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644148 divided by 12.\nAnswer: -53679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-7)\/616*24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) 0.4 (c) -7766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102.51 - 103. Let l = p + -0.01. What is the second smallest value in 2\/9, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/5)\/((5929\/385)\/(-77))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/12)\/3*1*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 28. Let h(b) = 2*b + 1 + t*b + 5*b. What is h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -2, 2, 8, 16, 26?\n\"Answer: a**2 - a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 3934513674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.3 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3377226870?\nAnswer: 2, 3, 5, 1301, 28843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45545 and 40.\nAnswer: 364360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196010, 195328, 193470, 189848, 183874, 174960?\n\"Answer: -98*x**3 + 4*x + 196104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c = -1211 - 4414. What is the remainder when 220 is divided by c?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 92006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122974617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8316540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/60 - 95*s**2 + 5*s. Let z(k) be the first derivative of 4*k**3\/3 + 4*k + 62. What is 3*d(m) - z(m)?\nAnswer: -m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-12 - 16) + -2 + -1 - -9.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 4)*(2*r**2 + r**2 - 5*r**2) to the form h + o*r**2 + k*r and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079487 is divided by 300.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 at least -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-2 - -7)) + (10 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 4*x - 5. Let c be g(2). Sort 22, 2, c in increasing order.\nAnswer: c, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**5\/25 - u**4\/5 + 2*u**3\/3 + 14*u**2\/5 + 3*u + 286. Suppose v(x) = 0. What is x?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7775 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25 = h + 2, 127 = 5*h + 3*f. Calculate the remainder when 39 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5a6 (base 16) to base 10.\nAnswer: 50598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 2*q**3\/27 + 269*q**2\/9 + 913. Solve v(w) = 0.\nAnswer: -269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61101 (base 7) in base 4?\nAnswer: 3213033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 807 - 278. Suppose 3*g + c = -476. Let x = g + 615. What is the greatest common factor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -1.3. Let p = 0.7 + -4.7. What is the nearest to f in 4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + 32 - (230 - 68)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 39*n + 2. Let m(l) = l - 1. What is -2*m(w) - v(w)?\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 234478 plus 0.65?\nAnswer: 234478.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 10*i - 12. Let h = -2 + -6. Let q be z(h). Solve -3*j - c - 7 = j, 2*c = q*j - 2 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 557274 and 15720?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v - 1606050 = -205*v. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**8\/84 - u**4\/8 - u**2 - 3. Let f(l) be the second derivative of n(l). What is the second derivative of f(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(121\/(-77))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p - 33. Let u be o(6). Suppose u*g + 798 = 60*g. Calculate the remainder when g is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/11, -3, 1683 in descending order.\nAnswer: 1683, 9\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 - 8*u + 6. What is n(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/6*(-92)\/506?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -41, -47, -57, -71?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 13\/282, -4\/5, 1 in decreasing order.\nAnswer: 4, 1, 13\/282, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168631534 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/3*(-7398)\/1233\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 243 in 1, 0.49, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -39 + (-1 - (15 + -4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87893 and -17.5798.\nAnswer: 87875.4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1903.2759 and 5?\nAnswer: 9516.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -33*y + 31. Let l(v) = -v + 1. Let n(j) = -h(j) - 6*l(j). Is n(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let g(q) be the second derivative of -q**3 - q + 2. Determine t(g(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rerr when four letters picked without replacement from ueuru.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1351442918*c**3*u**2 + 4931*c**2*u**2 + 4*c**2 - 20*c*u**2 - 3*u**2 + 16 wrt c?\nAnswer: -8108657508*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 87546?\nAnswer: 350184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, f: 2, i: 4, k: 2}. Give prob of picking 3 i.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.65 - 222\nAnswer: -219.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 895, -0.1, 0.42, 1?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 450417 * 0.4.\nAnswer: 180166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 55. Suppose 0 = -5*p + p + 260. Let g = p + y. What is the remainder when g is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5282*m**3*s**3 - 148*m**2*s - 6*m*s**3 wrt m.\nAnswer: 31692*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20817, -20994, -21171, -21348, -21525?\n\"Answer: -177*f - 20640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*l + 22. Suppose 4*v + p = -463, -v + 6*v + 575 = -l*p. Let c = 184 + v. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a - s + 31, 0 = -5*s + 15. Suppose -1572 = 22*x - a*x. Is 261 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24750\/100)\/55)\/42?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -f + 151864, -2*q - 2*f = -47179 - 54065. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or 139950?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2125 - -4476. List the prime factors of g.\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993638 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(-5 + sqrt(175) + 2 + sqrt(175)))**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3414357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7052673 is divided by 261208.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370 and 6105.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 8) in base 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 115. Suppose 0 = -6*a + 3*a + x. What are the prime factors of (27 - a)*(-16)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12bb8 (base 13) to base 16.\nAnswer: -8895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784592316?\nAnswer: 2, 11, 17, 79, 47123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + g + 0*g)*(-55 + 55 + 12*g) + (g - 2*g - 2*g)*(12*g - 3*g - 7*g) in the form y + b*g**2 + j*g and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551158390 to the nearest integer?\nAnswer: 23477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:43 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5583\/5 - 1107. Find the common denominator of x and -29\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 + 8. What is the units digit of v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a + 144 = -86 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:29 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) 0.2 (d) -7 (e) -0.1 (f) -38607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gffgggggggggggfg. What is prob of sequence gf?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3383 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 5*q + 3. Let c be n(-5). Let i(l) = -3*l - l - 4 + c*l - 5. What are the prime factors of i(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005459662 rounded to 6 dps?\nAnswer: 0.000546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -582 + 582. Solve 3*l = v, -5*s + 29 - 14 = -4*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -3. Suppose 15*c - u = 11*c. Let o(j) = 8*j**2 + 3*j - 8. List the prime factors of o(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/959 + 19364\/22057. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 - 395*p**3 - 4540*p**2 + 16460*p - 11520 = 0. Calculate p.\nAnswer: -64, -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 556*s**2 - 1248*s + 4. Determine q(2).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let h(k) be the second derivative of k**6\/240 - k**4\/6 - 2*k. Let v(o) be the third derivative of h(o). Determine v(a(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187642 to the power of 1\/2, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14410 is divided by 570?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(162)*-4)**2*4 + sqrt(162) + sqrt(162) - sqrt(162)) - 4*(sqrt(128)*-3 + -4))*-6.\nAnswer: -311136 - 846*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -40. Let w(m) be the first derivative of -x + 0*m + 3\/2*m**2 - 1\/3*m**3. Find the second derivative of w(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 22)\/((-133)\/266). Put -2, -4, y in increasing order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 1716087*h**2 - 10296603*h + 15444945.\nAnswer: 3*(h - 3)**2*(h + 572035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 4, -10, -40, -92, -172?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 288 = -c + 3*s, -4*c - 5*s = 554. Let i = -100 - c. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13417*v - 1194111. Calculate p(89).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-910)\/(-3) + -4 - (-1)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 41 + 0 + 48 = -2*h + 43, 5*n - 3*h - 82 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**4 + 2*w**3 + 627*w**2 - 183*w - 716711 wrt w.\nAnswer: 8*w**3 + 6*w**2 + 1254*w - 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.3 + 1.3. Let z = -350220 + 350265.0051. Let u = z + m. What is u rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 278 + -278. Suppose 14 + 4 = 3*g. Suppose 4*v + d - 14 = b, -v = -g*v + 3*d + 26. Let z(p) = p**3 - 5*p**2 + 5*p + 2. Calculate z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 4*x**2 - 2*x + 4. Let n = 1 + -5. Calculate t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + m + 2093 = 5*f, 2*f = -2*m + 2102. Suppose -n - 2926 = 2*a - 809, a = -4*n - f. What is a rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16131 + 0.161383424. Round l to 7 dps.\nAnswer: 0.0000734","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15 - 23 - 12 + 6*j. Does 3 divide h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:46 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33102 is divided by 1141?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006217973 rounded to six decimal places?\nAnswer: 0.006218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2619 + 910?\nAnswer: a3429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -488*o**4\/3 + 154*o**3\/3 - 6528*o**2. What is the derivative of h(r) wrt r?\nAnswer: -3904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 2*z + z + 90 - 25. Let j be u(20). Suppose j*p - 5*k - 286 = 774, -4*p = -k - 857. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 32*w**3 - 3*w**2 + w + 7. Let p be o(3). Suppose -346 = 2*v - 0*u - u, p = -5*v - 2*u. Let d = v + 330. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2975 - 2962. Solve 4*k + 5*s + 13 = 0, 3*k + 2*k + 3*s = -d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200021 + -12?\nAnswer: -200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00232 and -0.3.\nAnswer: -0.30232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3871, 3852, 3823, 3784?\nAnswer: 3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1069538 and 664.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3075a3 (base 15) to base 5\nAnswer: -1042144103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1524, 3057, 4644, 6285?\nAnswer: 7980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692459 is divided by 314?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*18\/(-15). Suppose -5*i - 29 = -t*h, -h - 3*h = 4*i - 28. What is the units digit of (-2 - -2)\/3 + h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c\/(c**8*c))\/c*c**(-8)*(c**(-1))**28)**(12\/13))**13 assuming c is positive.\nAnswer: c**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.9 + -1.9. What is the closest to 4 in 0.04, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)*r*r**(7\/4)\/r*(r\/((r\/r**(-1\/3))\/r))\/(r**(-20)\/r))**(-23) assuming r is positive.\nAnswer: r**(-4255\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (-17)\/4)*-4. Suppose 5*k + 96 + 4 = w, -d*w + 540 = -5*k. Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:29 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 49362.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-56))\/((-18)\/(-468)*-13).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-56) + 4\/(-21). Sort b, -5, 4 in descending order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180645 = 10*n + 42795. Let o be n\/190*((-20)\/(-6))\/(-1). Calculate the greatest common divisor of 56 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -47. Let n = 18 + r. Suppose n*u = 10, 5*b + 3*u - 123 + 32 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*i + 251*i + d = -251*i + 32, -2*d = -8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 9. Let o(t) be the first derivative of 4687*t**3\/3 - t**2 + 16*t + 43. Let l be o(f). What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 7*((4 - 2) + 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56757 is divided by 14164.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2325 - 2313. What is the nearest to -11 in -0.5, w, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/3 + 1990*z**4\/3 - 175919*z**3\/3 - 3533468*z**2\/3 - 2995772*z\/3 + 6703168\/3 = 0.\nAnswer: -2074, -16, -2, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15231528*k**2*z**3 + 4*k**2*z**2 + 15*k*z**2 - 2*k*z + 8169*z**2 - 2*z wrt z.\nAnswer: -91389168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = 3*m. Let i be (1\/3)\/(m\/36). Suppose 0 = -5*c + i*q - 29, 5*c - q + 6*q + 5 = 0. Let a(r) = 3*r + 4. Calculate a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 91506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 4:41 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Suppose 2*g - g - 3 = 0. Let k(l) = y*l - g*l + 2*l + 6*l. Let u(r) = 2*r**2. What is k(u(c))?\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 6. Let v = -9 - -15. Let b(f) = -3*f - 143 + 137 + f - f. Let i(o) = v*n(o) + 5*b(o). Give i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**6\/30 + 3*m**5\/20 + 10*m**3\/3 - m**2\/2 + 1175*m. What is the second derivative of q(o) wrt o?\nAnswer: -12*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*c**3*x**2 - a*c**3*x - 2*a*c**3 + 56*a*c - 49*a*x wrt x.\nAnswer: -2*a*c**3*x - a*c**3 - 49*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 379.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 14*3 - (112 - 109). Solve -6*c = -4*a + m + 7, 0 = -3*c - 3*a + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 591.96.\nAnswer: 596.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(77)*2)\/sqrt(7)*2 + (-4*-1*sqrt(121))\/(sqrt(11)*-1*-3).\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 435*f - 282. Determine b(217).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*-4*(-2 + -6*(-2 + -1 + sqrt(243)) + -5))**2.\nAnswer: -7603200*sqrt(3) + 56761600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) 4 (c) 0 (d) -2\/551\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 313*y**4 - 54*y**2 + 71*y**2 - 19*y**4 + 1 wrt y?\nAnswer: 7056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2486.90858 to the nearest integer.\nAnswer: -2487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r + 160. Let g be i(-8). Solve g*h + 12 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 - 9\/(-4). Let s be 1309\/357 - (-4)\/3. Solve -3*d + n*d + s = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 4*n + 5*n + (-2*n + 2*n + 2*n)*(-3 + 0 + 2) - 5 - n + 5 as h*n + p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (-11 + 13 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 20877\/1441?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 4, q: 2, m: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -14.57?\nAnswer: -8.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 11:46 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, d: 3, s: 1, j: 6, y: 1}. What is prob of sequence sy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a = 198*a + 664 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89457.4 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 77 + 145 = 0. Suppose 0 = j*o - 9*o - 2448. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -111 in increasing order.\nAnswer: -111, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1 (b) 0.1 (c) 4\/11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -504390 divided by 29670?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -2)*(-4 - -13). Let f = j - -59. Suppose -5*c + 23 = 4*n - f, 4*n - 89 = -c. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f - 16. Let h(t) = -3*t - 3. Let u(z) = 2*c(z) - 11*h(z). Let k(q) = -3*q**2 - 3*q - 3. Let d = 5 - 7. What is d*k(s) - 6*u(s)?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 - 18*j + 14. Let x = 259 + -247. Is 23 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -86. Suppose j = 6*j + s*h, h + 25 = 4*j. Put 3, -3, 2, j in ascending order.\nAnswer: -3, 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34527037801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29ddd (base 15) in base 16?\nAnswer: 20e66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5*q + 3*v - 51, 0 = -5*q + v + 61. Let w be 15*(0 - -3) - -1. Suppose 0 = -15*g + q*g + w. What is the remainder when g is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1*sqrt(2)*2 + (sqrt(2) + -1 + sqrt(2))*2)**2 + ((sqrt(6) + sqrt(54) + sqrt(6))*-1)\/sqrt(3))*-2.\nAnswer: -44 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6615 + -6612. Let w = 0 - -8. Let z = -3 - w. Put 2, -1, f, z in increasing order.\nAnswer: z, -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 + 244. Suppose -l - 5*i + g = -7*i, -18 = -3*l - 4*i. Which is bigger: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 less than 0.17017?\nAnswer: 0.82017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 44. What is the closest to -1\/8 in 0.4, 4\/7, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:09 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -8*x + 32. Suppose 0 = 3*d + 3*s - 545 - 58, x*d + 2*s = 808. Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 65 = 13. Let x = o + -7. Solve 3*y + 9 = 0, 0 = -5*b - x*y + y - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 6*c + 2*j = 5, -7 = 3*c - 2*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35444653901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.02 + 0.02. Let l = -3.98 - 0.02. Let v = y - l. Which is the nearest to -1? (a) -1\/3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/10 + (-69483)\/(-795). Let j(l) = 24*l**2 + 22. Let u(a) be the first derivative of -a**3\/3 - a - 2. What is b*u(h) + 4*j(h)?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 7) to base 3\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10275 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let q(o) = 6*o + 2. Let a(r) be the first derivative of 0*r + 3 - 1 + r - 4. Let m(p) = -6*a(p) + 3*q(p). Calculate m(x(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(90) - 3*sqrt(90)) + sqrt(90)))\/(sqrt(792)\/sqrt(11)*-4)*5.\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 6*s**2 - 17*s**2 + 4*s**2.\nAnswer: -6*s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddyyzdddd. Give prob of picking 3 y and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(1 - 2 - 1)*(0*a + a + 3*a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/((-3)\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = -i. Let c be ((-13800)\/(-3))\/((-2)\/i). Round c to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 3 (b) 1\/3 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79372?\nAnswer: 2, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 54, 43, -4, -99?\n\"Answer: -2*a**3 + 27*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c + 29. Let r be (-1 - (-10)\/(-15))*(-1 - -4). Let u be s(r). Let b be (27696 - u) + (1 - 3). What is b rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 7*h + 32. Let z be l(10). Let t = -10 + 15. Solve 0 = 3*m + t*u - 15, -m = u + z*u - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 9*k**2 + k - 1. What is b(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66123, -264190, -594311, -1056492, -1650739, -2377058?\n\"Answer: -x**3 - 66021*x**2 + 3*x - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 11) to base 7.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -411 + 682. Suppose 5*m - 8 - 1 = -3*w, -w + 3*m = -3. Suppose w*h + 9 = 0, 2*h = 5*c - 0*h - k. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 10 = 0. Suppose -26 + x = -v. What is the remainder when 47 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 41, 0.003, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -15) + 38 + -6 + -27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - 3.12. Let k = -5.1 + 0.1. Let v = -5 - k. What is the third biggest value in h, v, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a*a\/(a*a*a\/(a*a**(-4)\/a))))**6 assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(4\/3)*t)*t**(-4\/11)*(t\/((t*t**(1\/3)*t)\/t*t))\/t**0)**42 assuming t is positive.\nAnswer: t**(-1400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 122*-0.4\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3650522 (base 12) to base 14.\nAnswer: -158a9d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-945) - 573240\/(-27540).\nAnswer: 104\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21009051 and 52731?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:31 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199156094 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 1\/2 (c) 8\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1811, -1, 27, 0, -2 in increasing order.\nAnswer: -1811, -2, -1, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -194 - -198. Let l be -2 - (-4)\/2 - -24. Let r be (-4)\/l*-4*3. Calculate the highest common factor of r and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -30*m**2 - 9*m - 3. Let u be l(6). What is the remainder when u\/(-9) - (-2)\/(-6) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 600 and 6?\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 33. Let s(b) = b + 16. Let f be s(d). Sort f, -2, -5 in ascending order.\nAnswer: -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 515806*u - 9284504. Determine v(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40719272?\nAnswer: 2, 11, 462719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose 0 = -x*w - w + 60. What is the lowest common multiple of (0 - 1)*w\/(-4) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46392.05 micrometers?\nAnswer: 46.39205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-1)))**(4\/11)*(a**(-6))**(-4\/29) assuming a is positive.\nAnswer: a**(148\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 - 41*m**4\/12 - 2*m**3\/3 + 86*m**2 + 171*m. Let i be r(41). Solve 4*n + 41 = -5*x, -2 = -2*x + 5*n + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, -4\/7, 0.4, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a. Suppose a = -2*v + 3 - 1. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b + -a258b?\nAnswer: -a2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4824, -0.5, 5\/6, 4 in ascending order.\nAnswer: -4824, -0.5, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let w be (g\/(-18))\/(64\/(-15)). Let f = -4171\/96 - w. Find the common denominator of f and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 2 - 4*x**4 + x**4 + (x**3 - 6*x**3 + x**3)*(139*x + 119*x + 912*x) in the form w + l*x**2 + b*x**3 + v*x + f*x**4 and give f.\nAnswer: -4682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 - 3. Let y be u(6). Let q = 13 + -7. Let g = y + q. Let s(f) = f**3 - 4*f**2 + 2*f - 2. Determine s(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*p**3 - 2*c**2*p - 12*p**3 - 5*p**2 wrt p.\nAnswer: 6*c**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 17 = -f - j, -5*f = 5*j + 5. Let u be 6\/((21\/f)\/7). Suppose 34 = u*r - 38. Solve -p - 2*p = 3*k + r, -5*k = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (124\/(-6))\/(3\/18). Let o be j\/(-24) + 1\/(-6). Solve -o*i - 12 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*f = 4*f - 14, -2 = -2*b + f. What is the first derivative of 4*d**2 - 5 - 42*d + b*d**2 + 42*d wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13179978 and 39539934?\nAnswer: 39539934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -636161\/40 - -15903. Calculate the common denominator of 1\/124 and n.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1\/2, 5, 3.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11360 divided by -5\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.3, 0.1.\nAnswer: -4\/5, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 33501 + 16750 + 16751 - 3*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 + -124. Let y = u - -311. Put -3, y, 12, -1\/2 in decreasing order.\nAnswer: 12, y, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 3774*c**2 + 1175520*c - 7189632.\nAnswer: 3*(c - 6)*(c + 632)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*2\/2. Let s(u) = 3*u**3 - u**2 + 1. Let v be s(f). Solve 4*i - 20 = v*l, 5*l + 6 + 14 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1851601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, q: 5, i: 3, t: 3, c: 1}. Give prob of sequence ii.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7153 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 3.92817?\nAnswer: -70.70706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**7\/7 - 895*v**6\/6 + 23*v**3 + v**2\/2 + 62*v - 3499. Find the third derivative of s(u) wrt u.\nAnswer: -120*u**3 - 53700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let z(y) = 2*y. Let m(o) = o**3 - 7*o**2 + 6*o - 5. Let s be m(6). Let p(a) = a. Let d = 5 + -3. Let n(c) = d*z(c) + s*p(c). Calculate n(r(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9900.8414 minus 0.019?\nAnswer: 9900.8224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from xlxlxlxxxel?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(1\/9). Let l = r + 10. Let p(u) = u**2 - 5*u - 8. Let n be p(-2). Solve -l*m - 39 - n = -5*o, 2*o - 25 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2515 - 4*f**2 - 6*f + 8*f**2 - f**3 - 2517 to w*f**2 + s*f + l + v*f**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**2 - 46*b**4 + 9 + 1 + 20*b**3 - 15*b + 46*b**4 - 5*b**5 = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.01959518 minus 181?\nAnswer: -151.98040482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.495098 decades in millennia?\nAnswer: 0.01495098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 6, 11, 16, 21, 26?\n\"Answer: 5*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 2*v + 50. Let j be s(6). Let y be j\/(-120) + 55\/(-180). Suppose -2*q + 1 - 3 = 0. Is y at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 593266 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956.818 litres to millilitres.\nAnswer: 956818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -169, -472, -1079, -2092, -3613, -5744, -8587?\nAnswer: -12244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**(-4\/11)*d**(2\/11)*d**(7\/3) assuming d is positive.\nAnswer: d**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 + 0.19. Let j = -0.66 + 5.16. Let x = j - 5. What is the nearest to 3\/19 in b, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 4*w + 85 - 88, 13 = 5*m - 4*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/(-9)*93\/31. Suppose 5*d = 3*l - 321, -28 = -4*d - z. Calculate the remainder when l is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311238251630 take away -2.951?\nAnswer: -311238251627.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-462)\/8 + (-3)\/12. Let y = -133 - u. Let m = y + 152. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*o*t**3 - 4*o - 850*t**3 wrt o.\nAnswer: -96*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 35. Suppose i + 0 = q. Solve -3*r + 9 = 3*m, 3*r - i = -2*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4620 - 20?\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 729 + -726. Solve 7*z - 20 = a*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-16) + 1 + 439\/4. Calculate the highest common divisor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2393*p - 4683. Calculate g(2).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 4*z + 9 = 6*z, 3*l = 4*z - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5895? (a) -1 (b) -0.5 (c) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42440 + -19419. What are the prime factors of r?\nAnswer: 23021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -120 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12302 divided by -6\nAnswer: -6151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/6*(-294)\/15. Let c = 82 - p. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275032 divided by -68758.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 10*g**2 - 2*g - 15. Let i be p(-10). Let n(w) = -i + 5*w + 5 - 3*w. Let l(j) = 4*j. Determine l(n(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(i*i*i\/i**5*i))\/(((i**(-9\/2)*i)\/i)\/(i*i*(i*i*i**7)\/i*i*i)) assuming i is positive.\nAnswer: i**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - (7 - 4)) + (-3 - 1). Put -6, -5, 3, s in decreasing order.\nAnswer: 3, s, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 7*g - 1176. Determine o(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*m)*(-2*m + 4*m + 0*m)*(1 + 3*m**2 - 2 - 4*m**2).\nAnswer: -6*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65171 is divided by 76.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-657 - -660)\/(55\/(-10)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 387 + -104. Let x = w - 280. Solve 0 = 3*f - 5*o, 2*f = -0*f + x*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000166533 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*k**3 + 166654174*k**2 - 166654174*k**2.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33006 is divided by 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 + c - 3. Let a(g) = -6*g**3 - 17*g**2 + 5*g + 317. Calculate a(b) - 4*k(b).\nAnswer: -2*b**3 - b**2 + b + 329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/((-49)\/7) - -77 - -3. What is the greatest common factor of 28 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -757 = 12*a + 791. Let s = -123 - a. What is the least common multiple of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 2*a + 1. Let i be g(3). What is the third derivative of 4*j**2 - 8*j + j**3 + 12*j - i*j wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 37 = -5*p, 3*p + 1 = -31*c + 27*c. Put 7, p, -5, -108, -4 in ascending order.\nAnswer: -108, -5, -4, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/44)\/(-14)*-1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*w - 0 + 4, -h + 18 = 5*w. Let c be (1 - -2) + -1*(h - 5). Suppose -o - 5*o + 756 = c. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:23 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 + 11*h + 11. Let o(d) be the third derivative of d**5\/60 - d**4\/24 - d**3\/6 - d**2 + 35*d. Give 22*o(l) + 2*q(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -20*p + 60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 5*y)*(-23 - 27 + 83)*(2*y**2 + 0*y**2 + 0*y**2).\nAnswer: 198*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 - 44a?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 - -1634422735.\nAnswer: 1634422735.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9*n + 24 = 0, -14*m + 7 = -15*m - 2*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.24, 5, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 86281912 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(88)\/sqrt(2)*-1)\/(1*sqrt(324)) - (1 + (sqrt(11) - (sqrt(11) + sqrt(99) + sqrt(11))*3) + sqrt(11) + sqrt(275) + sqrt(275)*-1*-2)**2.\nAnswer: -45 - 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(136) + -1*-4*sqrt(136) + sqrt(136))*-4)\/((-1*(sqrt(48) + sqrt(288)\/sqrt(6)))\/sqrt(6)*4).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 55982604 divided by -27991302\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*j + 21 = 0, 2*b - 13 + 5 = j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*f + 3*k - 30, -2*k - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2*(1 + 0). What is the derivative of 5 - 4*y**4 - 18*y**3 + 18*y**q wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14) - 0) + 115\/(-210)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 - -24)\/(-9*(-7)\/1764).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - y = 65, 2*f = 5*f - 4*y + 85. Suppose 0 = -4*d + 5*r - 3*r - 194, 10 = -2*r. Let c = f - d. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44265 or 752524\/17?\nAnswer: 44265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/23482, -1\/336, 3 in ascending order.\nAnswer: -1\/336, 3\/23482, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 + 16\/10. Suppose -3*l - t*l = -10. Solve -l*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a hour in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13*o - 2 + 2 - 6 - o. Let g be d(6). What is the greatest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193956 and 185640?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682*y + 4410*y**4 - 160 - 31205*y**2 + 4426*y + 5076*y**2 + 465*y**2 + 41496*y**3 = 0. What is y?\nAnswer: -10, 2\/21, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = -17. Suppose c + 3*h = -10, o*h = -c - 3*c - 5. Calculate the lowest common multiple of 13 + 1 - (-3 + c) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5639.7 - 5601. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1055\nAnswer: 527.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - (-55 + (48 - -3)) - 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6313 - 6284.215. Let b = y - 29. Let m = b - -0.21499877. Round m to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1926, 6092, 12506, 21168, 32078, 45236?\n\"Answer: 1124*r**2 + 794*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0309666354 to six dps.\nAnswer: 0.030967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704) - ((1 + sqrt(704) - sqrt(704))*4)**2) + -3 + -4 + (-1 + sqrt(176))*-3)*-5.\nAnswer: -20*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*v + 338*v - 1097 = -347 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -351*n**2*z**3 - 2*n**2*z**2 - 3*n**2*z + 51*n**2 - 63*n*z**2 - 143*z**3 wrt z.\nAnswer: -2106*n**2 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2999563 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5 + 20. Suppose 2*u + 2 = 2*d + 4, -5*u - h*d = -29. Let p = 6 + -1. Solve 4*c - u = -5*k - p, -4*k + c = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 0.71. What is the nearest to x in 0.1, 1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11216 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292978?\nAnswer: 2, 139, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94668588*i**5 - 4809077*i - 5?\nAnswer: 1893371760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d - 14. Calculate x(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*t + 31. Put t, 2, 6, 5 in ascending order.\nAnswer: t, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 3289*u - 3289. Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 618 = 2972. Calculate the remainder when x is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -3, 116.1, 3.51, 1?\nAnswer: 3.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7342584, -7342583, -7342582?\nAnswer: -7342581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l. Suppose -4*c - 3*r = -81, l*r = 4*c - r - 101. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-1)*-3 - -40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.5 and 65431328.\nAnswer: 65431331.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -29. Suppose 8 - 3 = -5*s. Which is the nearest to s? (a) 5\/2 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -526, -11, 0.2, -3.4?\nAnswer: -526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 1. Let a be l(-1). Suppose g = -3*s + 4 + a, -s = -5*g - 7. Let m = -25 + 35. Solve 7*j - s*j = m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001200579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2 - 2*h + 4*h)*((1 + 1 - 1)*(-2*h + h + 3*h) + 7 + 1 - 7 - 137*h).\nAnswer: -270*h**2 - 268*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 29*v - 6. Let q be w(0). Let o(a) be the first derivative of -5*a**2 - 41*a - 4. What is the units digit of o(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041068 to six dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1884\/7 - -359\/14. Let a = s - -662\/3. Find the common denominator of a and -109\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4 - 11*l - 42*l**2 - 3*l + 13*l + 0. Let c be u(8). What is c rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34631, 34657, 34683, 34709, 34735, 34761?\nAnswer: 34787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -75. Suppose -6*c - 3 = -3*a - 3*c, f = 2*a - c. Solve t = a - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*r**6 + 0*r**5 + r + 2*r**2 + 2*r**5 + 156*r**6 - 3*r**2 wrt r?\nAnswer: -2160*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 - 8 + 429*f - 26 - 435*f + f**2. Calculate the remainder when h(-5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2\/17, 0.5, -9\/5, 4.\nAnswer: -9\/5, 2\/17, 0.5, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 2*t - 4. Let r be f(4). Let q(g) = g**2 - 2*g - 3. What is the remainder when 17 is divided by q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 7 - (13 + -3 + -35 + 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:07 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 221 = -5*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 0 + -3 + 3 + 5)*3)**2.\nAnswer: 900*sqrt(13) + 11925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r - 15*r + 10 = -2*w + 52*r, 0 = 5*r - 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by (1919\/171)\/((-1)\/(-3)) - (-2)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-105) + 3 - (-68)\/(-126).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 14*f - 8. Let i be r(5). Let t be i*14\/21*-1. Solve -2*v = -2*k - t*k + 26, -5*k = v - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - 4*r + 3. Let s(n) = -n**3 - 2*n**2 + 2*n. Let d be s(-3). Let v be t(d). Calculate the greatest common divisor of 27 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9048 divided by -58\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 93*z - 30. Let i(m) = -10*m. Give -h(n) - 7*i(n).\nAnswer: -23*n + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*r + 16*r - 13*r)*(-104 + 6 - 115 - 45) in the form d + t*r and give t.\nAnswer: -23994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(-1\/2)*p)\/p)*(p**0*p*p)\/p)**(-27\/7)*(p*p**(-1))**(4\/7)\/(p**(1\/2))**(-3\/4) assuming p is positive.\nAnswer: p**(-87\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -2242 - 3470. Suppose -83*t + 66*t + c = 0. Solve -t*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 87*p**3 + 3*p**2 - 7*p - 303. Let w(y) = y - 4. Let h be w(6). Is g(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m**2 + 10*m + 11. Let i be p(-1). Suppose 40*c - i = 65. Let u(k) = -k**2 + k + 7. Let g be u(0). Solve -c = -3*v + g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45032774 and 1369?\nAnswer: 1666212638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 6*v - 6. Suppose 0 = 2*q + q - 9. Suppose -q*j + 4*j - 5 = 0. Give d(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 41 = -u, -5*u - 155 = 5*v. What is u rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 37*w**2 + 38*w + 68. Determine j(-37).\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.541406018 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37534, 37507, 37480, 37453, 37426, 37399?\n\"Answer: -27*a + 37561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 23. Suppose -a*c + 82 = 3*v - 2*v, -5*c + 3*v = -111. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/196702 or -1?\nAnswer: 3\/196702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 41. Suppose p = 4*p + n. Let b = -1 - p. Calculate the greatest common factor of 42 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/70*(3\/81*6)\/((-8624)\/(-9240))?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-15))\/((-34)\/2 - ((-1060)\/30 + 15))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7636*v - 2222103. Determine g(291).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(((-6)\/(-6))\/(-113)). Let p = i - -115. Solve 14 = 4*c - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4896212 or -4896214?\nAnswer: -4896212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/(-14))\/(0 + (-2)\/(-4)). Suppose -q*d + 155 = -439. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4697*w + 4*x - 14 = -4695*w, -4 = -2*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/46 and (-3 - 27\/6)\/((-72)\/30).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from daaddxaawagxwxg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6777142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from tiviiiiivteiitbie.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(3 + -2*-2*sqrt(700)))**2.\nAnswer: -33627 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k*k**0))**(-12\/11)*(k**(-4)\/k)\/k**(2\/13))**(-6\/13) assuming k is positive.\nAnswer: k**(2550\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d. Let k be h(4). Suppose a = 5*a. Suppose a = 2*w + 5*o + 17, 3*o - 5 = -w - 4*w. What is the closest to k in 5, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k**2 - 3*k + 2. Let n be w(-3). Solve -m = n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - 154.4. What is the third biggest value in i, -0.5, 0.013?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z = -4*d - 26*z - 21, 5*d - 2*z + 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/7 + 34*r**3\/7 - 160*r**2\/7 + 128*r\/7 = 0. What is r?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36108 = 847*q + 215*q for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 + 1\/120*k**6 + 7\/3*k**3 - 2\/3*k**4 - 3\/20*k**5 + 0*k - 2*k**2. Does 16 divide v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let v(x) = -x - 2. Let r(w) = -2*g(w) - v(w). Let o(z) = -2*z**2 + 6*z. Calculate o(h) - 6*r(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -426569*w**5 + w**3 + w**2 + 15865860*w wrt w?\nAnswer: -8531380*w**3 + 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9585044.\nAnswer: 2, 7, 19, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -q - 0*i, -q - 3*q + 3*i = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -9.6. Let y = -9.02 - k. What is y rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 2*n - 175. Suppose 4*d = -2*v + n, 5*d - 5*v - 74 = 126. What is the first derivative of -2*q**3 - d*q**2 + 19*q**2 + 1 + 25*q**2 wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -61. Let c(v) = 27 + 4*v**3 + 3*v**3 - v - 5*v**u + 22*v**2 - 3*v**3. Let y be c(22). Solve -4 = -2*b, 3*b + 14 = y*a + 5*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39137368001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/7 - 921022*c**2\/7 + 14735968*c\/7 - 8420480 = 0. What is c?\nAnswer: 8, 460495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 86 = 4*q, 2*h = 1057*q - 1054*q - 65 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.5, -0.35, -2?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 4*q**2 - 5*q. Let d be (-291)\/(-12) + (-3)\/(-4). Suppose d = 6*f - f. What is k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2578279923 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 15*w**2 + 17*w + 14. Let h be r(-12). Suppose -f + h = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 1 b when three letters picked without replacement from {n: 1, b: 1, r: 1, q: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) -2\/13 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48120 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -222 (c) 0 (d) -1\/3 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*v + 0 = 12, 21 = 3*g - 2*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l**3 + 5*l**2. Let i(o) = 49*o**3 - 14*o**2. What is -5*i(h) - 14*m(h)?\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 56. Let a = -35.046 + c. Let d = a - 0.011. Round d to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y = 4*y - 782, 3132 = 4*i + 2*y. Suppose i = 5*v + q, 3*q = v + 44 - 204. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 22 - 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/3))**37*(b**(1\/2)*b)\/b*b*b\/(((b*b**4)\/b*b)\/b)*b)\/((b**(-2\/3)\/b)**(2\/81)*(b\/(b*b\/(b*b**(-1\/2)))*b)**(-1\/11)) assuming b is positive.\nAnswer: b**(262631\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*g + 3941 = -314*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.397516l in millilitres?\nAnswer: 5397.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5978.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531441 is divided by 1265710?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37 take away -26630.63?\nAnswer: 26629.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-126)\/(-4)) - (-34)\/(-72). Which is smaller: f or -2\/29?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11101*x**2. Let v(n) = -74105*n**2. Calculate v(y(w)).\nAnswer: -9132122255105*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 777\nAnswer: 4\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/(9*(-16)\/(-1080))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19*(180\/156 - (-4)\/(-26)). Suppose 2*x + 5*b + 20 = 0, -2*x - 13 = -x + b. Let j = l + x. Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59543.5389 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -279*d**2 + 5260*d + 149. Give s(19).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clcccll. What is prob of picking 2 l and 1 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**(-9\/2)\/(d*d*d*d**4*d*d**1\/d))\/((d**(-1\/2)\/d)**(22\/5))**(-33) assuming d is positive.\nAnswer: d**(-4561\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5201355, -10402708, -15604061?\n\"Answer: -5201353*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*s**5 + 1050*s**4 + 2308*s**3 - 168*s**2 - 368*s = 0. What is s?\nAnswer: -2, -2\/5, 0, 2\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -41*h. Suppose -4*s + 0*s = -4. Let f be a(s). Let l = f - -89. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1 - 2*n + 7 + 0*n + 4*n. Suppose 0 = -2*w + 2*d + 22, 0 = 5*w + 2*d - 23 - 11. What is the tens digit of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 22386*o + 403001. Calculate c(-18).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 16 = 4*s. Suppose 0*t = s*t + 8. Let r be (-105)\/10*t\/3. Solve -3*f + r*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -3336.\nAnswer: -1\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g. Let f be y(3). Let t(q) = q**3 - q**2 + 2*q - 2. Suppose -6*h + 4 = -8. Let u be t(h). Solve f*d = -0 + u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1089\/4 - -3121\/12. Find the common denominator of j and -82\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/43 + -56\/4257. Let a(r) = r**3 + 6*r**2 + 7*r - 5. Let w be a(-4). Is w >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 5*q**2 - 6*q - 6. Let w = 7 + -13. Let f be k(w). Let c be ((-2)\/(-6))\/(4\/f). Is c <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*v - 4 = 0, 2*b + 4*v = 3*b + 7. Solve -4*q + 3 + b = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by -24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 115 = -92*s. Which is the second smallest value? (a) 3\/5 (b) s (c) -166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8 + 12 + 83*n - 82*n. Let m(t) = t - 1. Let x be 14\/18 - (-2)\/9. Let a(w) = x*f(w) + 5*m(w). Differentiate a(p) with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 + p + 3. Let h be w(2). Suppose -5*z = 10, 6*o - 4*z = h*o + 29. Which is the second smallest value? (a) 4 (b) 2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 divided by 161?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3436 by 4.\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = i. Suppose 3*b - 2 = -2*g + 8, 6 = 5*g - 2*b. Suppose 4*j + 18 = -g*r, j - r = -2*j - 11. Sort 3, i, j in ascending order.\nAnswer: i, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 12 - 10 - 6 - 3 - 2*r. Let n(m) = 11*m**2 + 6*m - 6 + 13 + 13. Determine 17*g(k) + 6*n(k).\nAnswer: -2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 20. Let f be r(4). Suppose -5*n + 78 + 62 = -5*d, 5*n - d - 128 = f. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 2. Let a be t(5). Suppose -a*z + 103 = -49. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 697092 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-8) - 4\/(-16). Suppose 90 + 32 = -3*a + s*v, 2*a = 4*v - 80. What is the remainder when ((-4)\/6)\/(1\/a) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 46494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 5*v + 3. Let y(l) = 2*l**2 + 4*l - 4. Calculate -3*u(a) - 2*y(a).\nAnswer: -a**2 + 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**2\/2 + 195*i - 609. Let m(r) = 4*r. What is m(u(z))?\nAnswer: 4*z + 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -21*r + 16*r - 17, 46 = 4*t + 2*r. Let b be ((-20)\/(-6))\/(2\/3). Solve n + t = b*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-19) assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 12*r - 638. Suppose -2*w + 0*w - r = -4*z, 83 = 4*z + 3*w. Suppose -4*p - z = -i, 0*p - 1 = i + 2*p. Solve 0 = -i*j - 6 - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -277*r**2 - 74131*r - 45924.\nAnswer: -(r + 267)*(277*r + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 813 and 2981?\nAnswer: 8943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 229\/288 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 2*k**2 + k - 1. Let y(w) = 9*w**3 + 14*w**2 + w + 5. Let b(i) = 4*o(i) + y(i). Calculate b(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorojorrtrrorroj. Give prob of sequence joj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4288602.\nAnswer: 2, 3, 31, 23057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1202, 2722, 0.8 in ascending order.\nAnswer: -1202, 0.8, 2722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 + 36*d**2 - 58*d**2 + 0*d + 0*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.29 and 50657?\nAnswer: 116004.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2) - -4)\/((-20)\/(-1)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/56*(-42)\/12*(-10)\/(-45).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 15\/19327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q - 5*q, 3*q = 2*y - 106. Find the common denominator of y and (-14)\/4*28\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 30. Let f(z) be the first derivative of -3*z**3 + 2*z**2 + 11*z + 3. Let y(c) = -11*c - 5 + 4*c**2 + 0*c + 5*c + 4*c. What is i*y(o) + 6*f(o)?\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 45. Let s be r - 3\/2*966\/(-7). Let u = s + 697. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 16*c - 351. Let g = c - 22. Is (-8)\/(32\/(-10))*4*g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4350349*b + 290 - 290 + 2175186*b + 2175177*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62816177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6214 - -6209. Is c at least 37.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5*s + 32*s - 3)*(-3 - 2 + 2 + (1 + 0 - 2)*(-2 + 5 - 2)) to w + m*s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 3*f - 1. Let l be o(-5). Let w(a) = a - 6. Let p be w(l). What is the third derivative of 0*h**2 - h**6 + 0*h**6 + p*h**2 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260.2, 0.3, -2, 0, -5 in descending order.\nAnswer: 0.3, 0, -2, -5, -260.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**4 - 10 + c**3 - 177914*c + 0 + 177917*c to h*c + t*c**3 + z + v*c**4 + a*c**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let p be 24*2\/(-112)*-7. Let r(l) be the third derivative of 1\/15*l**5 + 0*l**4 - 4*l**2 + 0*l + 0*l**p + 0. Determine r(i(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3255.168 - -3224. Let v = -31 - t. Let i = -0.1 + v. What is i rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8417 + -8057. Calculate the least common multiple of 576 and c.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16 - 5\/(140\/(-9))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 26 = -32*j - 86, j = -2*q - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, -0.082, 2, -4.9, 71, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 387.\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 7*u**2 - 6*u. Suppose 2*p - 45 = -2*p + 5*o, -4*o = 2*p + 10. Suppose 3*t = -l + 1 + 3, -3*l + 12 = p*t. Determine q(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1*w)\/w)**(-13\/4)*(w**(-6\/5))**12 assuming w is positive.\nAnswer: w**(-209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2004\/9352 - 1\/((-42)\/47).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29877\/25 - -1195. Which is the smallest value? (a) 17 (b) -2\/5 (c) u (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10686983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1135391.4 to the nearest ten thousand.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 55. Solve 2*u - u = t, 4*u - c = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 - 6*i - 27. Give q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x + 5. Let b be a(-5). Suppose 2*g = -2*g + 72. Let c = 22 - g. Are c and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -19*g**3\/3 + 2*g**2 + 9. Let o be n(2). What is o rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + v + 14*v**2 - 2*v + 4 - 2. Let u be o(2). Let m = -26 + u. Calculate the remainder when m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/(0 + 4))\/(-2). Let o(d) = -d**3 + 8*d**2 + 4*d - 2. What is the units digit of o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18 + -4 - (6 - -6). Solve 0*x**k - 2\/3*x**3 + 0 + 2\/3*x = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((234\/40)\/(-13))\/(3\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 461 (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310220*b**5 + b**4 - 82*b**2 + 4129.\nAnswer: 18613200*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 2. Let g be j(3). Suppose g*v = 3*v. Let n = 2 + v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i + 5, 15 = 2*q - 5*i. Put 3, q, -6, -5 in decreasing order.\nAnswer: q, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**2\/2 - p + 3987. Let x = -16 + 7. Determine h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Let g(t) = -t**3 + 6*t**2 - 2*t + 6. What is the tens digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -3\/8 (b) -0.4 (c) -19 (d) -5 (e) 1\/4 (f) -372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 6) to base 5\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 6. Suppose -2 = -2*n - 2*t - 0, -4 = t. What is the lowest common multiple of r(6) and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -23) + (1 - (-11 - -3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 44) + -4876 + 4861.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 8*x - 41 = 65, 147 = d + 5*x + 73 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*b**3 - 41*b - 15\/2 + 4*b**5 - 13\/2*b**4 - 74*b**2.\nAnswer: (b - 5)*(b + 1)**3*(8*b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*l - 3, -l - 2 = 1. Is -183*(3 + -1 - 22\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -359 + 2*j**2 + 359. Let n(s) = -16*s**2. Give n(m(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3818*k - 926 + 81*k + 3767 wrt k?\nAnswer: 3899","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/71, -3, 2\/21, 1\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -45*h**3 - 6*h**2 + 14*h + 19. Calculate the remainder when r(-4) is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*w + 118*w + 16*w**2 - 5 - 71*w in the form f + t*w**2 + h*w and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/9 (b) 2 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*k - 4*k - 48*k - 2 + (0 + 0 - 2*k)*(-16 + 9 - 11).\nAnswer: -27*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/128 and 41\/72.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -136. Suppose -4*u + 3637 = 3*d, j*d = -9 - 1. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300495 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401385793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -1023408.\nAnswer: -7\/127926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + sqrt(18)\/sqrt(6).\nAnswer: -6 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2665518 divided by 2665518\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816 is divided by 92?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 47*h**2 - 45*h - 45. Let c be d(46). Let x(r) = 9*r - 2 + 1 - 7*r - 1 + 7*r**2. What is x(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0 + 19 - z**2 - 13 - 66 - 21*z. Let x be p(-11). What is the greatest common factor of x and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244605.\nAnswer: 3, 5, 23, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 4 - 2904*t**2 + t**4 + 2902*t**2 - t + 4*t**4 + 4*t**3 to the form b*t**2 + u*t + j + m*t**3 + q*t**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 281336687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2637 and 39282?\nAnswer: 34528878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(119)\/sqrt(7) - sqrt(612)*-2*1) + 0)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 5*v**2 + 4*v - 3. Let i(d) = d**2 + 1. Let s(x) = 6*i(x) + z(x). Let q be s(-2). Suppose 0 = 2*m + q - 19. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, -180, 1, 4, -1, 6 in increasing order.\nAnswer: -180, -3, -1, 1, 4, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -3, -0.11, 4\/7 in descending order.\nAnswer: 4\/7, 0.01, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 3. Let v = 18 - 13. Which is the third smallest value? (a) -3 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -11 - (4 + -2)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:40 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gasaoggoosg. Give prob of sequence as.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1\/5, 3 in decreasing order.\nAnswer: 3, 2, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f + 957 = -4925 - 3026. Solve -f*n - 15 = t - 129*n, 5*t = 4*n + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-2 - -1))*1. Let q = z + 7. Let g be (28 + -30)*1\/(-2)*0. Solve 3*m - q*m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 equal to -546780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) + sqrt(42)\/(sqrt(2)*2 + sqrt(2)) - sqrt(21)) - 2*sqrt(21)*-5)\/((sqrt(432) - (sqrt(432) - -2*sqrt(432)))*-1).\nAnswer: 17*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 348\/203*147\/(-56)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 5*c. What is n(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Suppose 26*c - 9*c - 119 = 0. Suppose 4*b = 8*b - 5*s + 19, -b - c = s. Determine h(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from -101.035.\nAnswer: -101.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 - 50315665?\nAnswer: -50316055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208))*2)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -126. Let d = w - 44.2. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 382 + -380. Which is bigger: -68 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.027 and 0.51.\nAnswer: 0.01377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-4) + (-7)\/28. Suppose 18*j = 114 + 246. Suppose 0 = -8*p + j*p - 96. Solve c - p = d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/(sqrt(12)\/sqrt(4)) - ((sqrt(90)*1)\/sqrt(2))**2.\nAnswer: -45 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from uyuoyrbroyroeuyuor.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1038 in -2, 7, 1, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose j - 5*z = l*j - 17, z = 2. Suppose -4*c + 1 + j = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/84*(-3)\/(-5).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2305 - 2308. Which is the nearest to 1? (a) 1 (b) -1.8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26374 - -26372. Suppose -w = -4*s - 21, 2*w - 4*s - 1 = 5*w. Sort w, -1, k, -4 in descending order.\nAnswer: w, -1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 4*n**2 - 4*n + 4*n - 2*n**2. Suppose -p = 3*q - 2*q - 7, 3*q = -5*p + 31. Let i be b(q). Solve -3 + i = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {d: 1, g: 1, b: 6, w: 1, u: 6}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.1, 6.11, 0.5, 0 in descending order.\nAnswer: 6.11, 0.5, 0.1, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 93. Find the first derivative of t*p - 3*p**2 + 538 - 437 - p**2 + 2*p wrt p.\nAnswer: -8*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 6686.\nAnswer: 9\/6686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517 (base 11) to base 2.\nAnswer: 1001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 53998417 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, 748 in ascending order.\nAnswer: 0, 13, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 978, 7935, 26804, 63537, 124086, 214403?\n\"Answer: 992*m**3 + 4*m**2 + m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*h + 3*r, 3*h = -r - 37 + 102. Solve -5*f = s + 24, 0 = 3*f + 9*s - 14*s + h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -31*q - 12744. Let p = q - -500. What is the remainder when p is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116304.9993 - -116291. Let f = -13.87 + -0.13. Let o = f - b. What is o rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46407 + -46420.9948. Let u = -27 + 13. Let w = u - c. What is w rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23202958 to the power of 1\/2, to the nearest integer?\nAnswer: 4817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 10.4. Let k = -30 + p. Let y = -20.74 - k. What is y rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4 + 39946037*i**3 + 418941651 with respect to i.\nAnswer: 4*i**3 + 119838111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 - 60*x + 8 + 22*x + 17*x + 23*x - 4*x**3 + 3*x**2 to l*x**4 + i*x**3 + o*x**2 + n + k*x and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 57 = -4*o. Let j be o\/5 + 2\/10. Suppose j*r = 3 + 1. Is r greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 - 33. Let a = -212.355 + i. Let t = 0.644717 - a. What is t rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164170277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -5*v, -2*v = 4*z - 4*v + 18. Suppose 7 + 3 = -2*w. Is w at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2, 2\/11, 2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5 - (40 - 25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(2*u**4 + u**4 - 5*u**4) + u**4 + 0*u**4 + u**4 + (4 - 4 + 1)*(-13*u**4 + 17*u**4 - 12*u**4).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1301330 (base 4) to base 9\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*x + 26*x + 228174. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -m + 9, 2*m - 7*j - 318 + 280 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 3. Let q be y(3). Suppose q = d - 4 - 4. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -73*b**2 + 7*b - 7. Let c(r) = -16*r**2 - 21*r + 1. Let g(p) = -34*p**2 - 53*p + 3. Let o(n) = 15*c(n) - 6*g(n). What is 3*i(q) - 7*o(q)?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4) + 0 + 0.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7207, 34968, 81235, 146008, 229287?\n\"Answer: 9253*t**2 + 2*t - 2048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 26*x - 27. Let q(w) = -51*w + 53. Let u(d) = 9*i(d) + 4*q(d). What are the prime factors of u(5)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i*i*i**(2\/9))\/i*i)**(15\/7))**14\/(i**6*i\/((i\/((i\/i**(-7))\/i*i*i))\/i)*((i*i*i**0)\/i)**7) assuming i is positive.\nAnswer: i**(311\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.840661, -91, -1\/2 in ascending order.\nAnswer: -91, -0.840661, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.262014 tonnes to kilograms.\nAnswer: 6262.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**6\/120 - 3*l**2. What is b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 6*l + 10*l)*(0*l + 0*l - 2*l)*(-18 - 9 - 1).\nAnswer: 224*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 2:09 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36287 is divided by 216?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/1760*((-2)\/(-2))\/(6\/(-30)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/389 (c) 1.1 (d) 0.4 (e) 3 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 - 3.8. Which is the nearest to m? (a) 5 (b) -1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6865 and 48.\nAnswer: -329520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1324 = -5*m + m, 650 = 2*m - l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-17)\/(-102) - 1\/6. Solve -13*y + 11*y + 8 = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8*z - 4*z = 0. Which is greater: z or 5\/18?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 28 + 83. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmrmpmpprmmmrprm. Give prob of sequence mrm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 65.92 times 4\nAnswer: 263.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let v = 462 - 457. Suppose 29 = -v*r - 3*u, -6*r - u + 9 = -9*r. Which is the second biggest value? (a) r (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 4 (c) 1\/5 (d) 0.1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183673*y - 182567 with respect to y.\nAnswer: -183673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364219 is divided by 1344?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/6 and 69\/31486294?\nAnswer: 94458882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 12:20 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 2. What is the least common multiple of m(-4) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75941 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440608, -440610, -440612?\nAnswer: -440614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11010101 (base 2) to base 16\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*a**2 + 339*a**2 + 132 + 360*a**2 + 158*a**2 + 132 wrt a.\nAnswer: 1284*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1013 + -612. Let f = -264 + w. Let m = f - 135. What is the nearest to m in -4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1790\/11 - -163. Let f be 1\/(-3) + (-4)\/6. Is v equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11 - z + 11. Let q(p) = -7*p**2 - 3*p. Suppose 3*g + 47 = -37. Let v(o) = 64*o**2 + 28*o. Let k(s) = g*q(s) - 3*v(s). What is k(a(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/5 + 84*x\/5 + 1296\/5 = 0?\nAnswer: -12, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 4104?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*j + 11 = -0*j, 0 = 4*u - 2*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 2*v = 33. Suppose v*n - 19 - 23 = 0. What is the highest common factor of 182 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*a + 2*k - 4*k, -4*k = 2*a + 6. Suppose -a*j = -3*j - 8. What is the units digit of 6\/(-8) + 19\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(sqrt(30)*1)\/sqrt(10)*-3*1)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-6))\/(3\/9180027). Let i be (3 - (-2 + 1)) + -1. Suppose -5*n + i*a + 25500009 = 0, -n = -8*a + 3*a - m. Round n to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 4 - (-84)\/(-2))*2\/6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120111 + 100011000?\nAnswer: 33230223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/50 and -125\/1021872.\nAnswer: 25546800","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31353 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/95? (a) 2 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1868*z**3 + 21624*z**2 - 21624*z**2.\nAnswer: -1868*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-320) + 26\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 9}. What is prob of sequence ik?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2082*b**3 + 25*b**2 + 3 - 25*b + 20*b + 5*b.\nAnswer: 2082*b**3 + 25*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275547, 551064, 826579, 1102092?\nAnswer: 1377603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 8 - 52. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + 225*p - 692. What is x(53)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-8)\/16). Suppose 1 = -c + r - j, -3*c = 3*r - 18. Calculate the smallest common multiple of 10 and (c\/2 + -1)\/((-3)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.17 + 4.97. Let m = -2 + 1.5. Let j be (-2 - -1)\/((-4)\/1). Which is the closest to 1? (a) j (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfm when three letters picked without replacement from zzmizfxxzfixttitmt?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-5)*(-2)\/(-4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/10 - (-8 - -2 - -9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 22*v**3 + v**2. Suppose 0 = 4*c - 5 + 1. Let p be x(c). Factor -p*n**2 + 22*n**3 + 2 + 16*n**4 - 4 - 15*n + 2*n**3.\nAnswer: (n - 1)*(n + 2)*(4*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 151*f - 22486. Let z be p(65). Let m(y) = -y**2 + y + 2. Let a be m(2). Solve -2*v + 3 = -t, z*t - 6 = 2*v - a*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2\/7 + 18778*n\/7 - 487552\/7 = 0.\nAnswer: 26, 18752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2346580000 to the nearest one million.\nAnswer: -2347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3 - 420*c**2 - 9153*c = 0.\nAnswer: -113, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10075, -19976, -29877?\nAnswer: -39778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 62*d - 119*d + 51*d + 1 + 43*d. Let u(f) = f**3 + 6*f**2 - 8*f - 6. Let w be u(-7). What is the units digit of r(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1346\/8 - (-2 + (-27)\/(-12)). Suppose k = 40*s - 12*s. Solve -y - s*c + 3*c - 9 = 0, 0 = -y + 3*c + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103300093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2*z + z**3 + 20 - 6*z**3 + 3*z**3 - 4*z to j*z + d*z**3 + k*z**2 + o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g. Let x(s) = -s**2 - s - 105. Calculate -3*o(m) - x(m).\nAnswer: -2*m**2 - 2*m + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*y + 19, -7*v + 3*v = 3*y - 40. What is the greatest common factor of v and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 5*l**3\/3 + 3*l**2\/2 + 3*l - 3. Is 15 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771812, -771806, -771798, -771788, -771776, -771762?\nAnswer: -771746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11040325 + -4?\nAnswer: 11040321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -530.67.\nAnswer: -529.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, -24565 in decreasing order.\nAnswer: -3, -23, -24565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1053))*-1 + -4 + ((1 + -2*sqrt(1053))**2 - sqrt(1053)) + (sqrt(1053) - (-4 + -1 + sqrt(1053))) + sqrt(1053).\nAnswer: -45*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 2. Let y(b) = -2*b + 2. Suppose 20 = 4*h - 32. Let w = 16 - h. Suppose t - w = 1. Give t*l(o) - 5*y(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.29 rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26723 and 69.7?\nAnswer: -1862593.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l + 16*l - 10*l to the form t*l + s and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2493*t - 1025*t - 1884*t + 32412 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21954863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, 2, 21, 46?\n\"Answer: 3*i**2 + 4*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-478053)\/(-54)*3\/(-8498). Let h = l - -11\/607. Let n = 13\/4 + h. Put -1, n, -4 in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*s - 7. Find the second derivative of -32*h**s + 13*h**3 - 3*h + 4*h + h wrt h.\nAnswer: -114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.071 (b) -51 (c) -1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to 5101\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 892056 divided by -248\nAnswer: -3597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59389 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100001 + -10111100001010?\nAnswer: -11000100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1123 - -6084. What are the prime factors of i?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p + 4. Let t = 23502 - 23500. Let q = 9 + -4. Let i(n) = 7*n - 2. What is q*i(m) + t*l(m)?\nAnswer: 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 68*k - 2498. Let x(j) = j**2 - 33*j + 1248. Let z(t) = 6*o(t) + 11*x(t). Factor z(a).\nAnswer: 5*(a - 12)*(a + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*o, -2*n + 24 = -n - 194*o + 189*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/((-5499)\/696) - ((-40)\/156)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 11) in base 14?\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.2064184.\nAnswer: -0.08256736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 11*t**2 + 7*t + 10. What is u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(a**0\/a))**(4\/39) assuming a is positive.\nAnswer: a**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by -5.\nAnswer: -121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-35)*-7 - (-33)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8681590 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - 1 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + 21 + (266 - 288)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -79. Which is the smallest value? (a) -2\/11 (b) f (c) 1\/3 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4505204.228 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1467*-910.2\nAnswer: 1335263.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34022 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 8:50 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 4, d: 3, e: 2, g: 7}. What is prob of picking 1 d, 1 g, and 2 e?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-12)\/180)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 25 = -14616*x + 14615*x, 4*x + 44 = 4*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, 0, 23, -8 in descending order.\nAnswer: 23, 0, -3, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 23690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/6 - 6*q**3 + 69*q**2\/2 + 2*q - 8. Is i(29) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 4. Let s be (j + (-2 - -2))*-2. Suppose -s*x + 7 + 1 = 0. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 57 = -h - 166, 248 = 2*w + 4*h. What is the units digit of w\/(-76)*186\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -3\/7 (c) 0.9 (d) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.019 + -49.981. Let y = g + 49.8. Which is the closest to y? (a) 0 (b) -3\/5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.291 + 0.2628. Round o to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 15 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {e: 2, a: 2, j: 9, y: 3, p: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681, 1000, 1531, 2274, 3229, 4396, 5775?\nAnswer: 7366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = 0, -5 = -3*u - 5*d - 0*d. Let o be (2 + u - 1) + 2. Suppose 0 = 3*n + 5*m - 0*m - 19, 2*n = o*m + 19. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 6 = -21*d. Let r = 4 + d. Suppose 0 = -n - 0 + r. Solve -3*o + 11 = 4*m, -2*m - n = 2*o - 4*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 9072*o**2 - 2896512*o - 223646720.\nAnswer: 2*(o - 4840)*(o + 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 2, d: 2, y: 1, j: 5, r: 5}. What is prob of picking 1 j and 1 d?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i - 90 = 0. Let g be (i\/(-24))\/(4\/(-74)). Let l = g + 3039\/40. Find the common denominator of -53\/7 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85\/46 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(70\/(-42)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -23*k + 28. Suppose -4*s + 157 = -f, k*s - 127 = -3*f + 42. What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, -2*j = -4*j + 3*o + 16. Let z be (136\/120 + -1)*(21 + -1). Factor -2\/3*p**j + 0*p + z.\nAnswer: -2*(p - 2)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*d - 8 - 9 = 0, 3*i = -5*d + 19. Let f(r) = -18*r - 3. Let y be f(i). What is the highest common divisor of 231 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2, 3453, 1\/3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/22 - (-24)\/132)*(-9)\/18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4570, 4573, 4572, 4561, 4534, 4485?\n\"Answer: -l**3 + 4*l**2 - 2*l + 4569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 5*y. Let u be ((12 + -17)*(-16)\/(-5))\/(-2). Suppose u*h = -28 - 20. Sort y, h, 1 in descending order.\nAnswer: y, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 10.\nAnswer: 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2 - 40. Let t(b) = 24*b. What is g(t(q))?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 9*j**2 + 14*j + 2. Let l be p(7). Solve -l*i + 4*t + 11 = -3, i + 5*t = -21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -66569140 in decreasing order.\nAnswer: 7, 1, -66569140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u - 4*u**3)*(-2 + 2 + 2*u**2)*(-65 + 26 + 94).\nAnswer: -440*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1000728 and 71416.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -2 (c) -4\/9 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002383116377 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 3*f - 2. Let p be q(4). Let b be (-10)\/(-2)*(-12)\/p. Differentiate -2 + 4*k**2 - 2 - k**2 - 4*k**b wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23a - -4?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/26)\/(3660\/(-1586)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*k + 2, f - 423*k + 1 = -422*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*o - 285*o = 275*o + 4*p - 3, 3*o + p - 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 63. Let z(u) = -3*u + 31. Let x(s) = 4*y(s) + 10*z(s). Differentiate x(f) wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 197*b - 88*b - 9*b - 92*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let j(q) = q + 2*q**2 + q**w - 2*q**2. Let u(k) be the third derivative of k**5\/20 + k**4\/12 + 3*k**2. Give 2*j(g) - u(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375 = 17*l + 8*l. What is the remainder when l is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(300)*2)**2.\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, 1\/113, -2?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1048, -1044, -1038, -1030, -1020, -1008?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574796 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.15 - 0.85. Put l, 3\/5, -1\/16 in decreasing order.\nAnswer: 3\/5, -1\/16, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5\/(-20))\/(147\/(-490)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*f + f + 5, 0 = 2*s + 4. Let k(n) = 5 - 4*n + n**3 + 0*n - 3*n**2 + 0*n**2. Calculate the remainder when k(f) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -73333, -0.1, -0.6 in ascending order.\nAnswer: -73333, -1, -0.6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scuvssvvuussz. Give prob of sequence su.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let a = 854 + -596. Let y = a + -257. Let l(k) = -5*k - 5. Give y*l(n) - 4*z(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3133314 - 522?\nAnswer: 3132352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 14, 11, 6?\n\"Answer: -a**2 + 2*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 - ((5 - 3) + -42). Suppose h + t = 3*p + 13, -p - 22 = h. Does 15 divide 0 + -2 - h\/(92\/336)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95637294 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*h**2 + 50*h**2 + 54*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-6)\/(-2))\/(-3). Solve p*w + 2 = -10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -4*s + 7*w - 3*w + 88 = r, -2*s + 30 = 5*w. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2))\/((-3)\/171). List the prime factors of -2*4\/((-24)\/i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7634 - -24.5516. Let y = t + -25.19551. Let l = -0.12 + y. Round l to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460080209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -5, -2\/13, -0.17, -0.833, 1\/57?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/120 - t**5\/30 + t**4\/12 + t**3\/3 - 5*t**2. Let r be u(-3). Let h(b) = -r*b + 4*b + 6*b - b**2. Determine h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 9*p**2 - 5. Let w be 6 + -1 - (4 - 1). Let f(o) = -o**w - 2*o**2 - o**2 - 2. Determine 5*f(c) - 2*r(c).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/8, 3, 8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113321331 (base 4) in base 12?\nAnswer: 154451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0*q - q**2 - q**2 + 0*q. Suppose -z + 5 = -2*w - 3, -2*z = 3*w + 12. Let o(p) = 0 + z - 2*p. Calculate o(f(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5055559 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 108666 - 212 = 0. List the prime factors of v.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16992 divided by -24.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a**2 + 788*a - 3*a**2 - 788*a.\nAnswer: 106*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 2*o - 69. Suppose 5*s = -r - 12, 5*s - 16 = -r + 7*s. Let l be h(r). What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*y = -410*y - 459. What is the smallest common multiple of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6781.\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2\/5, 2, -3\/68, -5?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = c + 4 - 1, -2*w - 2*c - 6 = 0. Let f be (0 - (-8)\/52) + (-6)\/39. Does w = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))\/(u\/u**2*u))**41*(u*u*u**1)**(-43)*(u**(-1)*u*u)**(-10) assuming u is positive.\nAnswer: u**(-139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/3, -0.2, 8, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 = -5*z + 569. Suppose -z = 4*k + 145. Let x = k + 98. Solve f + x*f = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccjjcccjcjnjjj. Give prob of picking 3 c and 1 j.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 12*i - 12 + 4 to l + t*i and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {k: 1, l: 1, r: 2, e: 1, h: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(8\/1424). Let w = 891\/10 - f. Is w >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-7 - (9 + -8 + 1))) + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Solve 3*f = 5*d - 15 + n, -5 = d - 2*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -2, 7\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 427268 and 3?\nAnswer: 1281804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f - 6*f - 2 - f + 2 + (0 - 1 + 0)*(2*f + 3*f - 4*f) - 3*f + 4 - 4)*(0*f + f + 0*f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22545*q**3 + 459*q**2 - q - 83.\nAnswer: 135270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-14) - 2) + 20\/35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 3429*v**2 - 2*v + 3430*v**2 - 2)*(1 + 2*v - 1) to the form q + g*v + i*v**3 + u*v**2 and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let i = -29 - -205\/7. Suppose 2*s - 24 + 4 = -2*z, 5*s - z - 26 = 0. Which is the third smallest value? (a) v (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 195*g + 65*g + 1040. Let t = -15 - -36. Let o = t - g. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1.5, 0, -6.6, -2, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2 (b) 20 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 8 + -20 + 9 + 10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 38 - 1991*w + 1964*w + 16 + w**3 - 2*w**2 - 2 in the form l*w + f + c*w**3 + h*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-4*j + 4*j + 2*j) - 3*j + 3*j + j + 5*j - 5*j + 2*j - 281*j - 7 - 286*j + 566*j.\nAnswer: 6*j - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3)\/1 + 3. Suppose -4*f - i + 20 = 0, 0 = -l*f + 8*f + 2*i - 28. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 30. Let r = -20 - l. Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89928 divided by 2?\nAnswer: -44964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1585, 2368, 3151, 3934, 4717?\nAnswer: 5500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16) + 137\/(-4). Let o = 31 + n. Let m be o\/(-6) - (-11)\/(-2). Sort -3, 0, m.\nAnswer: m, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 3045 - 917. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 457*p**4\/24 + 257*p**3\/2 - 4*p**2 - 73. Find the first derivative of b(q) wrt q.\nAnswer: 457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*q - 59*q - 253 = 0. Suppose q*n - 8*n - 690 = 0. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000081255 to seven decimal places.\nAnswer: -0.0000813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*t = 153*t - 11 + 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -136.6. What is the third biggest value in b, -0.7, 1, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*p - 560. Find the common denominator of ((-2)\/3)\/(p\/(-987)) and 103\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655465.\nAnswer: 5, 337, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.53 + -0.07. Let v = -0.42 + w. Round v to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/10863, -2\/5, 8\/3, -0.5, -3\/5?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l, -5*h - 4*l + 5*l + 470 = 0. Let z = h - 91. Solve x = 4*p + z, 3 = x - 3*p + p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -12\/13, 3, -3, -1\/9?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/487 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhvvvtthvhvhvvt. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4552384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*r + 5*s - 14, -4*r + 39 = -s. What is the greatest common factor of r and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 18660026.\nAnswer: 18660026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17980 and 208204804.\nAnswer: 3596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from cirss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5)*(-2 - -7). Suppose -c = 4*m - 41. Suppose 0*x - m = -x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -952425 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73.7 + -73.70000585. Round g to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - d - 10 - 11 = -0*b, 0 = 39*d - 37*d + 62 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 58 - 65 + 258 - 64 - 76*n.\nAnswer: -76*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12395.41 centuries to millennia.\nAnswer: 1239.541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -20b6?\nAnswer: 20b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2671288 divided by 667822\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 43 + 13 = 0. Let l be ((-15)\/(-12))\/((-2)\/(-16)). Solve -3*n - 2*v - l = -0*v, -g = 4*n + 3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -234 + 228 - (5 + 13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268430 is divided by 26839.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9\/7)*p*((p**15*p*p)\/p)\/p*p)**(1\/7) assuming p is positive.\nAnswer: p**(110\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00866 rounded to 4 dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1369 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i)*(0*i**4 + 6*i**4 + 2*i**4 + (117*i**2 - 117*i**2 - 11*i**3)*(-i + 0*i - i)).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-9) + -2 + 16\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 359327 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 28*p**2 - 75*p - 618. Calculate the lowest common multiple of 1428 and l(-8).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223798637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = m + 4*x, m - 5*m + 5*x = -45. Suppose 270*q + 117 = 275*q + 3*p, 5*p + 125 = 5*q. What is the remainder when q is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 0 - 2*p**2 - 2*p - 4 - 1 + p**4 in the form z*p**4 + c*p**3 + j + l*p**2 + k*p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 26 + 2 = 0, -3*a = -4*i + 28 - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 + 1 - (-14272)\/64. Calculate the greatest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f\/f**(-10\/11))\/f*f))\/f*f)**(-1\/14)\/(f*f*(f\/(f*(f*f\/(f\/(f**(-18\/5)\/f)))\/f))\/f*f\/(f\/(f*f**(-2\/67)*f*f))) assuming f is positive.\nAnswer: f**(-62157\/7370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = 3*n + 2*n, 14 = -5*f - 3*n. Let s = -3.9 - -3.6. Which is the closest to f? (a) 0.1 (b) 1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*q = -39, -29*i - 29*i + 87*i - 6*q - 42 = 33*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68984643 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w + 1 = -g, 0 = 3*g - 5*w - 5. Suppose -j = -g*j + 21. Let r be j\/(-9) + 4\/6. Solve r*u = -4 - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679063239.\nAnswer: 3, 2753, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -12. Let f be (i\/(-26))\/((-6)\/4). Which is smaller: f or -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 43\/5)*15. What is the second biggest value in f, 1.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 696*y - 193388. Calculate o(278).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(56\/4)*4\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:26 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61195, 61184, 61173, 61162?\nAnswer: 61151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1050 and 1540.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i**3 - 2 + 4*i**4 - i**2 - 1 - 5*i in the form y*i**4 + d*i + w*i**2 + s*i**3 + b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 2. Let t(l) = l + 3. Let y be t(-3). Let a be b(y). Find the second derivative of f**5 - 6*f + a*f**5 - 6*f - 23*f**5 wrt f.\nAnswer: -400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqkqq. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*a - 52*a + 228*a)*(2 + 0 - 1)*(-1 + 3 - 1).\nAnswer: 321*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let x(b) = -b**2 - 9*b - 6. Let o be x(-8). Let r(a) = -2*a**o + 2*a - 7*a + 5*a. Give m(r(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16344535 - 0.1103.\nAnswer: 16344534.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppnpnpnpppnpn. Give prob of sequence pnnp.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*b**3 - 152*b**2?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/445964 and 1\/668946?\nAnswer: 1337892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61541792 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 + 9*s**2 + s - s - s**2 + 3*s**2 + 4*s**2 - 5*s**2 + (-s - 5*s + 4*s)*(-s + s - s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.0032 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 15004 = 3776. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36312*r**2 + 363118*r + 20.\nAnswer: -2*(r - 10)*(18156*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5653 (base 12) to base 8.\nAnswer: -22537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 5:32 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from {v: 7, w: 3, y: 3}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, u: 2}. What is prob of picking 2 p?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*u = 551*u + 9448 + 15508 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:34 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4940 - -59315\/12. What is the common denominator of m and 5\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - p - 461 = 0, -3*p = 2*g - 4*p - 182. Calculate the remainder when 927 is divided by g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 0.203?\nAnswer: -0.05278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**2 + 11*n + 3. Let o(g) = 4*g**2 + 6*g + 2. Let p(w) = -2*c(w) + 5*o(w). What are the prime factors of p(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 37157?\nAnswer: -37155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*x - 2*x = 10, 2 + 18 = 4*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10168)\/(-93))\/41)\/(464\/12).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:24 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134, 207, 268, 311, 330, 319, 272, 183?\n\"Answer: -j**3 + 80*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -19. Suppose 0 = -c - 3*s, -c - 4*s = -4 + a. Sort -2, -1, c in increasing order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 9*m - 4*r + 65 = 0, 6*m = 4*r - 110 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 33 = 13. Let s = 10 - t. Solve -l - 3*u + 8 = -s*u, -3*l + 14 = 4*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259372\/3 - 86458. Suppose f - 6 = -0*f. Which is the closest to x? (a) -1 (b) -0.4 (c) f (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.339 + 0.139. What is the closest to v in 5, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8*-82 + 6 + -9. Let h = 38 - r. Solve 2*a - 10 + 2 = h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((356\/16)\/((-2)\/8))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -5568*d**5\/5 - 4*d**3\/3 - 3*d**2\/2 + 10*d + 3263. What is the third derivative of m(s) wrt s?\nAnswer: -133632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(847) - (1 + sqrt(847))**2) + 2 + 0 + 1 + sqrt(847) + sqrt(847) - (-3 + 5 + (sqrt(7)*2*-4 + sqrt(7) - (sqrt(7)*1 + -3))**2).\nAnswer: -1308 + 59*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14*5\/((-375)\/25).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696953 bigger than 6696953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10055 - 10056. Let w(c) = -85*c - 2. Calculate w(d).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 26551*b + 106236. Calculate c(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) -1 (b) -0.08 (c) 11642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -433, -502, -573, -646, -721, -798?\n\"Answer: -m**2 - 66*m - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/(1\/(-3)). Let o(q) = 2*q**3 - q**2 - 1. Let m(a) = -a**2 + 1. Let y(i) = f*o(i) - m(i). What is the third derivative of y(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 12, i: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83331920 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 3 - 3)*(-d + 5*d - 2*d) + 4*d - 4*d - 3*d**2 + (d - d + 2*d)*(3*d - 2*d + d))*((-5 + 4 - 3)*(-1 - 1 + 3) + 113 - 41 - 15)*(0 - 2 + 5).\nAnswer: -477*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -2*j. Suppose j*l - 56 = -0*l. Let g be 40\/((l\/2400)\/(-7)). What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6950 and 556?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:05 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 379?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/44473 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-133)\/(-266))\/(1*35\/10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1108200.414 and 3.21204.\nAnswer: 1108203.62604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 9564*p**2 + 4377492*p + 461046292.\nAnswer: -4*(p - 2797)*(p + 203)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -696594, -1393189, -2089784, -2786379, -3482974?\n\"Answer: -696595*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = u + u. Let z(l) = 3*l**2 - 5*l - 11. Let n(a) = -3*a**2 + 6*a + 12. Let i(g) = u*z(g) - 5*n(g). Let p(h) = h**2 - 1. What is i(f) + 4*p(f)?\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y + 11. Let b be j(-4). Let h = -65 + 1. Let n = b - h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3954 divide 472301346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8634 by 2878.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 9226631022.\nAnswer: -9226631022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 21*l**2 - 6*l + 8. What are the prime factors of x(22)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 16 = -w, -4*w = 10*m + 23 - 109 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/112 - 78\/(-1248)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.81 and -9670.4.\nAnswer: -27173.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11426.205 rounded to the nearest 100?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 921 = -3*k, -k = 2*i + 2*k - 459. Suppose 0 = g - 5*v - 56, g - 31 = 4*v + 18. Calculate the greatest common divisor of g and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5266 + -5255. Solve -1 = 10*t - l*t, 5*t = 3*g + 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -5 (b) -4 (c) -27 (d) 40\/9 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 9424.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231182 and 686?\nAnswer: 231182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 - 11*g**2 - 95*g - 28. Let u(n) = 5*n**2 + 47*n + 12. Give -3*q(y) - 7*u(y).\nAnswer: 9*y**3 - 2*y**2 - 44*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/5))**(-3\/23)*w**(-8)*w\/(w*w**(-36)) assuming w is positive.\nAnswer: w**(3211\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3*o**2 + 6*c**3*o + 6*c**3 + 1728*c**2*o + c**2 - 346581*c*o**2 wrt o.\nAnswer: 8*c**3 - 693162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*x - 41. Solve -x*j - j = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.97 + -4.21. Let l = -5.36 + p. Which is the biggest value? (a) l (b) 15 (c) 1\/8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.118324 rounded to 4 decimal places?\nAnswer: 0.1183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -632 + -13.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 628329 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/9 (c) -2\/48247 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48177 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 3 + -4 + 27. Let d be w\/8 + -6 - 6\/(-8). Let s(g) = -2*g + 1. Let i be s(-1). Put d, i, -5 in decreasing order.\nAnswer: i, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1660 + -1665. Sort -18, 1\/6, p in decreasing order.\nAnswer: 1\/6, p, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Suppose 4*t = 7*t - 18. Let b be l(t). Suppose 3*z - 6 = -5*p, b*z - 2 = 2*z + 4*p. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24433057*v**2 - 22039591*v?\nAnswer: -48866114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/13, 0, -1, -272, 1\/6, 1\/3 in increasing order.\nAnswer: -272, -1, -8\/13, 0, 1\/6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273.1 - 289. Let l = 11.9 + d. Let r = -2 + 1.9. Sort l, 2\/3, r, 1 in increasing order.\nAnswer: l, r, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 5. Let i be j(-7). Suppose -3*f + 34 = f + 2*x, 0 = -4*x - 12. Let v be (-300)\/(-44) + f\/55. Solve v = p + i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.28 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 + 2*l**3 - 2*l - 5. Let r be w(-6). What is the smallest value in 3\/4, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 68980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224344236 times -0.2?\nAnswer: -0.0448688472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 53*v**8\/168 - v**4\/24 + 19*v**3\/6 - 97*v**2. What is the second derivative of a(g) wrt g?\nAnswer: 2120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001244 rounded to six dps?\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 46 = 4*k + c, -3*c = -2*k - 18. Let n = 4 - k. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - 34917\/158. Let t = m + -321\/790. Suppose 2*f + 8 = 0, 0 = 2*k + 3*f - 5*f - 8. Is k < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggggqgg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75348 by 126.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 363. What is the greatest common factor of j and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0*h**2 + 3*h - 7\/1440*h**6 - 1\/24*h**4 - 1\/6*h**3 + 0 - 1\/30*h**5. Let i(g) be the second derivative of v(g). Factor i(f).\nAnswer: -(f + 2)*(7*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamnmnmmkknnaaa. Give prob of picking 1 n and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4 - 226*d**3 + 4994*d**2 + 29394*d + 36972 = 0.\nAnswer: -3, -2, 39, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2 - -1) + -5. Let z = 7 + j. Suppose z*x - 4 = -0. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = v, -7 = v - 11. Let r(a) = -a - 2. Calculate r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -24*u - 5. Let n be (-86)\/10 - 3\/(-5). Is k(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 767, 1147, 1529, 1913, 2299?\nAnswer: 2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585104332 to the power of 1\/3, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 7.1. Let g = 9 - 3. Let z = g - a. What is the closest to z in 2, -0.5, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -912757 divided by 912757\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 0.5408?\nAnswer: -8.5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-50)\/(-13) + -4 + (-4994)\/(-13) is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 605303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-9) - (-98)\/21. Let h(w) = -w**3 + 6*w**2 - 14*w + 48. Let c be h(o). Solve 0 = -4*p, 8*p - c = 3*s + 3*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 18 - 21. Suppose 0 = -5*b + o + 3312, -w*b + 3*o = 2*b - 3306. Find the third derivative of 0*m**2 + b*m**6 - 7*m**2 - 648*m**6 wrt m.\nAnswer: 1800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 12:02 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = -5, -5*q - 30 = 2*x. Let p = 101 + -104. Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 + 120. Suppose -y + 5 = -5*c, -4*y = -y - m*c + 11. Let b = -23 - -9. Sort y, 4, b in increasing order.\nAnswer: b, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 17\/25, -4, 56.2?\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c**2 - 2*c**2 - 167*c**3 - 478 + 478 + (c**3 + 0*c**3 - 2*c**3)*(-2 - 2 + 5) - 2*c**2 + c**3 + 2*c**2.\nAnswer: -166*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -215, -206, -181, -134, -59, 50, 199, 394?\n\"Answer: x**3 + 2*x**2 - 4*x - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f + 5. Determine l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 4*j + 85. Let x(g) = -2*g**2 + 2*g + 42. Give 4*f(n) - 7*x(n).\nAnswer: -2*n**2 + 2*n + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 6*f - 3. Let a be j(-2). Let w = 3 + a. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -116325.4 and -0.2.\nAnswer: -116325.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let c be -1*4*(2 - (-39)\/(-12)). Suppose -c*u + 5*x - 138 = -583, -5*u = -4*x - 442. Let t(s) = -133*s + 71*s + u*s. Give w(t(f)).\nAnswer: -576*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 11*j - 6*j to p*j + o and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/90 + l**4\/27 - 5*l. Solve u(b) = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*c**3 + 38*c**3 + 34*c**3 - 89*c**2 + 36*c**3 wrt c?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*l + 40 = 0, -3*l - 104 - 11 = -2*v. Let f be v\/15 + 4\/6. Solve 1 = a + h, -4*h = f*a - h + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32 less than -0.2?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2279.3 + -2280.1. Let i = -9.03 - -9. Put p, i, -0.1, 2 in ascending order.\nAnswer: p, -0.1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:00 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 248663205 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -120*f. Let x(g) = 17*g - 60. Let y(c) = c - 10. Let i(o) = -x(o) + 6*y(o). Calculate 68*i(j) - 6*m(j).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -113. Let s(t) = t**2. Give p(m) - 2*s(m).\nAnswer: -2*m**2 - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Calculate the smallest common multiple of (z - -12)\/((-28)\/(-6) - 4) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waaowdwdaaaaawa. What is prob of sequence wadw?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 6504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/24)\/(816\/64)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*j**2 + 4 + 10*j**2 - 4 to k + d*j + y*j**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 468 = -6*g. What is the units digit of g\/(5 - 65\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -108, -1.\nAnswer: -108, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 25*n**4\/4 + 2*n**3\/3 + n**2 + 138*n + 99. Let t(h) = -h**2 + h. Let j(b) = -2*t(b) + y(b). Differentiate j(l) wrt l.\nAnswer: 75*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -136144, -136140, -136136?\n\"Answer: 4*m - 136148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218390 or -436777\/2?\nAnswer: -218390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4842 and 41886?\nAnswer: 11267334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -303. Suppose 3*n = z - 25. Let x = -57\/2 - -28. Which is the biggest value? (a) 12 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2 - 165*c - 162 = 0.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 466 + 1996. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*g**2 + 3*g**5 - 13*g**2 + (-5*g**2 + 3*g**2 + g**2)*(-g**3 + 0*g**3 + 0*g**3).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*v**2 + 2*v + 16*v - 9*v + 21*v wrt v?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 693*k**3 + 6 + 29*k**2 - 690*k**3 - 16 + 1055*k**4 wrt k.\nAnswer: 25320*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1952030827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*w + 1 - 8 = 0, 0 = 3*f - 2*w - 4. Let x be (0 - -4 - f) + 1. What is the greatest common divisor of 33 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 + 49*j**2 + 37*j + 10. Let n be r(-9). Let p be -1*2\/(-1*2). Solve a + n = -p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22696541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 168*t**2 + 69. Let g(x) = -207*x**2 + 376*x**2 + 42 + 27. Let h(v) = 5*g(v) - 4*y(v). What is the derivative of h(a) wrt a?\nAnswer: 346*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -646258, -5, 3\/59?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*l**4 - 2*l**2 - 1246.\nAnswer: 748*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 475, 1196, 2205, 3502, 5087, 6960?\nAnswer: 9121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjxxxojxoxxjykxko. What is prob of picking 1 o, 1 j, and 2 x?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8428007*h*p**2 + 2*h*p + 682363166*h + 5*p**2 with respect to p.\nAnswer: 16856014*h*p + 2*h + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfuu when four letters picked without replacement from wfqfuccwwuqzfqfc.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5120152 decades?\nAnswer: 5.120152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1613, -7234, -16623, -29780, -46705?\n\"Answer: -1884*r**2 + 31*r + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7272 divided by -1164.\nAnswer: 606\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 not equal to -38174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 15. Let t be (-21)\/p - ((-4)\/(-3))\/4. Differentiate 17*g**t - 8 - 14 - 3 wrt g.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aff when three letters picked without replacement from {f: 3, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 45 = -15*l. Let t(i) = i**2 + i + 5. Let r be t(0). Sort l, r, -7 in descending order.\nAnswer: r, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + sqrt(68) + sqrt(68)*1*1 + sqrt(68)))\/(-5*(sqrt(4)*2 + sqrt(4))).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90 - 4?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 + (15 - 16 - 4) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 0.5, 20, 4\/1823, -0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -1\/60*l**5 - 1\/3*l**4 + 0*l + 0 - 3\/2*l**3 - 8*l**2. Give i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 223881069.6 and -23899.\nAnswer: 223857170.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1133 (b) -4 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a + 65. Give o(-18).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27463 - 0.2868. Round h to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623.245*0.6.\nAnswer: 373.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -11. What is the highest common divisor of 90 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1788598 and 2044112?\nAnswer: 14308784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 49. What is the third smallest value in 0, 1, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67809?\nAnswer: 3, 7, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24990 by -8330.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73693*u - 1716 + 859 + 857.\nAnswer: 73693*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985800 divided by -49290.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -416, -802, -1188, -1574, -1960?\n\"Answer: -386*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, d: 2, c: 5}. What is prob of picking 3 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - j = -55, -3*j = 3904*q - 3906*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/5 - 10984*n**3 - 371382344*n**2\/5 + 15496930176*n - 3981074452992\/5 = 0.\nAnswer: -13832, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = j + 3*j + 4*d, j - 4*d = -66. Let c be (-6)\/4 + j\/(-12). Let y = -223 - -221. What is the third biggest value in c, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-108825)\/(-30) - (-1 + 6\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36612.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/1*(-6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -58*n**2 + 4342*n + 596. Give g(75).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -131 + 3c0a?\nAnswer: 3aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 417006 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 90379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 = -2*y, 2*k + 0*y + 5*y + 15 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 10:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*u + 199*u = -48 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -107*x**4\/2 + 88*x**3\/3 - 271. What is the third derivative of c(w) wrt w?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -401546010 to the nearest one million.\nAnswer: -402000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 10. Let n be (1 - -3)*1 - -3. Let a be z(n). Sort 4, 2, a in ascending order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(132\/77)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3112392, 3112395, 3112398, 3112401?\nAnswer: 3112404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91202527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 7) + -9 + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*l**3 + 0*l**2 + 0*l**2 - 410*l**3.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:24 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}