diff --git "a/data/dm_maths/full_data/1465_11255.jsonl" "b/data/dm_maths/full_data/1465_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1465_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*v - 3*y + 162 = -199, -4*v - 695 = 3*y. Let z be 58184\/v - ((2 - 1) + 0). Let c = z - -333. What is the common denominator of 49\/22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(2\/8). Let z be (k\/(-3))\/((-3)\/(-135)). Suppose -5*s + 5*q = -z, -4*s + q + 26 = -q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 3. Let b be 3\/h*4\/(-12). Let f be (-2)\/4*(-11 - -12). What is the nearest to f in b, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3928\/133 + 331869\/2926. Let t = q + -287\/2. Let v = -5.6 + 6. What is the biggest value in t, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 0*b + 0*b)*(2 - 2 + 6*b) + 1097*b**4 - 10377 + 10377 to the form f*b**3 + g + p*b**2 + l*b**4 + r*b and give l.\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2*2)\/((sqrt(96)\/sqrt(2))\/sqrt(8)) - (6*(2 + sqrt(13)) - sqrt(26)\/(sqrt(2) - ((2*sqrt(2) - sqrt(2)) + sqrt(2)))))**2.\nAnswer: 264*sqrt(13) + 1717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84277533.\nAnswer: 3, 47, 659, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r - 5. Let s(y) = -11*y + 6. Suppose -4*k = l + 2 - 12, 4*k = -3*l + 22. Give l*m(o) + 5*s(o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-273 - -252) + 20 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.52, -6, 5\/2, -5, -92?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -17. Suppose 5*s - s = -24. Let w = s - x. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 1736193348*x\/5 - 376795917704931138\/5.\nAnswer: -2*(x - 434048337)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*j**3*l**2 - 344*j**3*l + 1596*j**2 + 2*j*l**2 - 8*l**2 wrt j?\nAnswer: -198*l**2 - 2064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19606898906 and 0.5.\nAnswer: -19606898905.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - s + 57 - 12, 47 = 4*j + 3*s. Let t(p) = p**3 - 7*p**2 - 7*p - 1. What is the units digit of t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v. Suppose v*c = -4*c + 4. Does 17 divide (-76 + -4)\/(c*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200230 by -5.\nAnswer: -240046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 4. Let o(v) = 7*v - 77. Let g be o(20). Suppose -58*t = -g*t + 55. Solve -l = 5*s - t, s - p = -0*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1405 - 25 = 0. Calculate the greatest common factor of p and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -12 + 10 + -2 + 15 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 10) to base 3\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 17. Let v(f) = f**2 + 6*f + 13. Let g be v(-5). Let n be c(g). Solve -n = -j - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2682545 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 824.9268 minutes?\nAnswer: 49495608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13824 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 4*p**2 - 8*p + 7. Let q be f(5). Let z = -96 + q. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**4\/30 - 14*l**3\/15 + 49*l**2\/5 + 38*l - 46. Let t(q) be the first derivative of r(q). Factor t(p).\nAnswer: 2*(p - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -1 + 5. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302 is divided by 540?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 201992423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -3*k + 4, 5*h - 4*k = -8. Suppose 0 = v - 0*w - w, -v + 2*w - 3 = h. Let j(r) = -r**2 + 8*r - 2. What is j(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (5 - (-2 - 3) - 5). Let i = -16 - -20. Solve -3*y = i - d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*h. Suppose h = 3*m - 5*m + 198. Let z = -65 + m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*w**2 - 9*w**2 - 5*w**2 - 4*w**2 as u*w + a + x*w**2 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7510769 millennia to months.\nAnswer: 9012.9228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 23*g**2 + 4 + 2 - 3.\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*a + 2*a. Let g be 8\/28*((-12)\/8 + a). Which is greater: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epqchxh. What is prob of sequence hecx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + -1.5. Let i = h + 5.94. Let v = i - -0.06024. Round v to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-1162)\/664)\/((-252)\/16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 4. Let p be a(-1). What is the closest to p in -2, 1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y. Give w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*g**3 - 3*g**3 + 4*g**3 + 0*g**3.\nAnswer: -62*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.997 + 4. Let x = -4.003 + z. Let t be 5*(2 + 28\/(-15)). Which is the third biggest value? (a) -1 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h)**(-23))**(-3\/10)\/(h**(-6\/5)*h*h**(-4\/9)\/h*(h\/((h\/h**(-5))\/h))\/(h\/h**(1\/4)*h)) assuming h is positive.\nAnswer: h**(3107\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.56 + -0.59. Let i = 29 + -24. Let x = -4 + i. Sort x, -3\/2, k in ascending order.\nAnswer: -3\/2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -567300 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -731933 divided by -2?\nAnswer: 731933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d6a61 (base 14) to base 3.\nAnswer: -222022110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-476)\/(-231) - (-20)\/(-330). Solve 0*l + 10 = k*l + 5*j, -2*j = -4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 4*r + 4. Let q(i) = -3*i**2 + 11*i - 11. Suppose 4*b + 9 = 53. Let n(u) = b*x(u) + 4*q(u). Let a(g) = 5*g**2. Determine a(n(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + (-8 - -5 - 12) + 33\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 450, 0, -69, 12, -1 in descending order.\nAnswer: 450, 12, 0, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-10))\/1)\/((-42)\/(-8)*29551\/7133)\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.02 - 0.02. Let z = n + -2. Let p = 28.3 + -7.3. Is p bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.8 - 15. What is the biggest value in p, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/71? (a) -0.1 (b) -4 (c) 0.2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1250 less than -1243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 345*b - 230*b - 116*b - 1358 as m + a*b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus 2027?\nAnswer: -2027.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626131267 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: Evaluate (-6 + 138)\/6*(16 + 174\/(-12)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*(r\/(r*r**10))\/r*r*r*r*r*r*r*r\/r**7*r*r**(-3)\/r*r\/(r\/r**(1\/29))*r assuming r is positive.\nAnswer: r**(-289\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 (base 10) in base 12?\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 8*x + 3*x - 12*x - 75, -x = 52*o + 131 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/28*14\/4. What is the common denominator of 143\/6 and (f\/(-5))\/(16\/(-122))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-44) + 7 - 31\/(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-462)\/(-735))\/((-100)\/700)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62511.1 years in months?\nAnswer: 750133.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 67*g**2 - 708*g + 1141. Determine c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(-7)*q)\/q)*q*q\/q**10)**(28\/3))**10)**(-3\/17) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9 - 1. Solve m*x - 5*x = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 0 - 4*n**2 + 0 + 9*n**2. Let q(k) be the third derivative of k**6\/360 + k**4\/6 + 13*k**2. Let m(a) be the second derivative of q(a). Give m(u(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in -9, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 659219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1558838, -1558904, -1559014, -1559168, -1559366, -1559608?\n\"Answer: -22*m**2 - 1558816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 309048 and -355784?\nAnswer: 664832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/3 - 4\/(-8). Let s = -134\/15 + 25\/3. Sort 0, s, m, 0.3 in ascending order.\nAnswer: s, 0, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54133 greater than -54122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45773 is divided by 14048?\nAnswer: 3629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 - 1a?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**2*m**2 - 37*h**2*m - 51*h**2 + 8*h*m**2 - 155*h*m - 121*m wrt h?\nAnswer: -18*m**2 - 74*m - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 3*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 - 6*k - 7. Let m(b) = b**3 + 9*b**2 + 7*b - 1. Let v be m(-8). Calculate l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t + 200 = 0. Let b = t - -61. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 7*m - 16*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 188*w**3 - 492. Let j(b) = b. Determine y(j(t)).\nAnswer: 564*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - t**2 + 1. Let x be g(-1). Suppose -x*c = 3*c - 10. List the prime factors of (c\/(-4))\/((-4)\/304).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 96096b + -17?\nAnswer: 960954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**0*d)))**(1\/49))**(1\/3) assuming d is positive.\nAnswer: d**(1\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5 - 11*m + 1 + 1 - m**2 - 1. Let p be d(-11). Let n = 5 + -3. Solve -p*j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 34454?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*t = 19, -2*d + t - 20 = 3*d. Put 1, -1, d in descending order.\nAnswer: 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from txaaaxxtaxxaxtmmmax.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 30 - 17)*(-7 + w + 7).\nAnswer: -73*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -2043, 0.4, 155?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - 4*s. Let b(n) = 11*n**2 - 7*n. Let v(m) = -4*b(m) + 7*t(m). Let g(w) = 3073*w**2. Determine v(g(r)).\nAnswer: -18886658*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -1\/5 (c) -3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 32*c**2 + 901*c - 23. Determine g(50).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -1220.37?\nAnswer: 25627.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - p - 2. Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g + 62. Let o be p(8). Is -5 + 1119 - (1 + o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94482 + -33440. Is x\/161 + 2\/(-14)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = i + 2*s, -2*i + 1 = s. Let y(h) = 22*h. Let d(o) = o. Let c(f) = i*y(f) - 3*d(f). Let r(t) = 4*t**2. Determine r(c(z)).\nAnswer: 1444*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 40 = -5*d - l, 5*l = -25. What is the remainder when 28 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -6. Let d = -305 + 304.6. Which is the closest to q? (a) -0.8 (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4) + (-5)\/50*-125?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -11. Let b = -4 - -14. Let d = b + n. Solve -4*k - 2*z = -4*z + 10, 4*z = -d*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 84.44541?\nAnswer: 84.44541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, j: 11}. What is prob of picking 4 j?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the next term in -10970, -11002, -11046, -11108, -11194, -11310, -11462?\nAnswer: -11656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*(2 - -9*3\/(-9)). Suppose -b*k - 90 = -14*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*u**3 + 3*u**2 + 13*u - 9847 wrt u?\nAnswer: -108*u**2 + 6*u + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfjffaajffjr. Give prob of sequence cj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*sqrt(175)*3 + 1)**2 + 3)*1.\nAnswer: -14179 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66524 = -267*o - 68660 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 17*i**2 + 352*i\/5 - 356\/5.\nAnswer: -(i - 2)**2*(i + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1922347 and 11?\nAnswer: 21145817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59157?\nAnswer: 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/168 and 17\/1020616.\nAnswer: 21432936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrzzzrzrzzzzzz. What is prob of picking 2 r and 1 z?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 7 - 3 - 3 + 8*p.\nAnswer: 17*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057667 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 + 27*f**4 + 69*f**3 + 33*f**2 - 72*f - 60 = 0?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -506?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -641 - -1?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 5:49 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:02 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/10 - 6\/5. Sort -0.4, -2, c in increasing order.\nAnswer: -2, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2167 (b) 19 (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.74 - 44.74. Let x = 22 - 65\/3. Put 3\/8, u, x in decreasing order.\nAnswer: 3\/8, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 14709503657?\nAnswer: 14709503658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**3 + 320*h**2 + 325*h = 0.\nAnswer: -1, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044078*m**3 + 4293712*m**3 - 985051*m**3.\nAnswer: 4352739*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z - 69. Suppose -14 - z = -6*o. Solve -3*b + 3*y = 2*b + 3, -4*b - o = -5*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73666042019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 543400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-5 + 8)) + -3 + -2 + -5 + -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = o + 330. Solve 0*w + o*w + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l = 3*l - 50*l + 396 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 12*p + 135. Let x be k(-7). What is the greatest common divisor of 13 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2152032 kilograms in nanograms?\nAnswer: 215203200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 + 4*w**2 - 5*w + 1. Let s = 3769 + -3770. Let h(k) = -k**3 - k**2 + k + 1. What is s*a(c) - 4*h(c)?\nAnswer: -2*c**3 + c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**4\/24 - 5*s**3\/3 - 8*s**2. Calculate j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28 - (-471)\/7. Let z = d + -336\/5. Find the common denominator of 9\/169 and z.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 78 = -22. Is 15 a factor of i\/(-5) - 1*-373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 206543.\nAnswer: -5\/206543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 217052?\nAnswer: -217047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 54\/(-12))\/(-3*7\/504)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-3 - j + 3) + 3*j - 9*j + 12*j + (-2*j + 7*j - 3*j)*(4 - 5 + 2) + j + 2*j - j to i + z*j and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o = 64*o - l + 27, 5*o + 14*l = 183. Let n(j) = 3*j**2 - 2*j - 1. Let m be n(-2). Suppose -5*z = -0*z - m. Solve z*r + 18 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/147 and 88\/29673?\nAnswer: 207711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -258\/4575917 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1719\/955*(-40)\/(-168)*-119.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-12)*(i**(-4)\/i*i*i)\/i*(i\/(i**(-2\/19)*i))\/(i\/i**11) assuming i is positive.\nAnswer: i**(-93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**3 + 2*q**2 - 4*q**2 - q - 9*q**3 - 4*q**3. Let i be k(-1). Suppose -a - 29 = -4*z + 6, -4*z - i*a = -55. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (37 + -46 + -34).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.1362 centuries to millennia.\nAnswer: 0.41362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4450*m. Let i(k) = 5*k**2. Calculate v(i(u)).\nAnswer: 22250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.564168kg in grams?\nAnswer: 4564.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4071, 8449, 15745, 25959, 39091?\n\"Answer: 1459*g**2 + g + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*v = 12, -10 = -0*j - 2*j - 2*v. Let f = 2 + 1. Suppose -3\/2*r**j + 1\/2*r**5 + 3\/2*r**f + 0 + 0*r - 1\/2*r**2 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1 + 11 + 5 - 2*d - 2. Let r be g(5). Suppose r*i = -5*k - i + 44, -2*i = -2*k + 14. What is the remainder when 23 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 5*u = -65 + 244, -151 = -4*t + 3*u. Which is the smallest value? (a) 5\/3 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from ipooooijipiobibjpoiq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 14) to base 13\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031858257 to seven decimal places.\nAnswer: -0.0003186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -662083, -662088, -662093, -662098, -662103, -662108?\n\"Answer: -5*a - 662078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -18*z**2 - 2*z. Let i(c) = -5*c - 24. Let p(a) = -4*a - 20. Let o(d) = -5*i(d) + 6*p(d). Determine o(t(y)).\nAnswer: -18*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.4, 66, -1, 4, -0.11, -122?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -c78 (base 13) to base 5\nAnswer: -32002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(((b\/((((b*b*b**(2\/27))\/b)\/b)\/b)*b)\/b)\/b)))\/b*b**(2\/47)*(b*b**(3\/7))\/b**(5\/4) assuming b is positive.\nAnswer: b**(5225\/35532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-100) + -3*(-3)\/(-4). Let s be (-1)\/(-3) - 4\/12. Do m and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, 11\/4, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017142489 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**5\/120 + 2*c**3 + 6. Let q(z) be the third derivative of l(z). Determine q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16232 + -16237. Let d(z) = z**2 - 3 + 4*z + 1 - z. Determine d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*r - 2*m - 11, 2*r = 3*m + 34. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40797 divided by 2896.\nAnswer: -40797\/2896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*y. Let w be 5\/2*-21*(-10)\/175. Let x be 0\/w*(1 + y). Do x and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + m + 5. Let c = 12 - 15. Let z(w) = -w**2 - w - 1. Let r(o) = -6 - o - 3*o + 0*o + o**2. Let t be r(5). Determine c*z(u) + t*q(u).\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.939 and 7.4617.\nAnswer: 5.5227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.041, -1, -2\/17, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - y - 17. Let l(n) = n**2 + 12*n + 4. Let a be l(-7). Let r = -35 - a. Let f be c(r). Solve -4 = -4*i + g - 1, 0 = f*i - 4*g - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 10 = 2*n, 0 = 25*n - 27*n + 4*s - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 129. Let i(p) = -p - 1. Let f(j) = -5*j - 6. Let h(z) = 10*z + 12. Let r(s) = -7*f(s) - 4*h(s). Determine n*r(l) - 4*i(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -13. Suppose -5*h = -j + 339985, 0*h + u = 5*h. Round j to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12466083 and 2415?\nAnswer: 1433599545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 70*t**2 + 85*t - 85. Let p(w) = 5*w + 2*w - 17 - w + 11 + 5*w**2. Determine -6*c(h) + 85*p(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 27593*s - 1327. Is j(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d**2 + d - 1. Let v be s(5). Suppose 18 = -v*l + 7*l. Calculate the remainder when 25 is divided by (28\/(-3))\/((-4)\/l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 69 = -321 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 245 and -28?\nAnswer: -6860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 12:27 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1286*v - 967 + 1289*v - 2715 - 1273)*(1 - 2 - 1).\nAnswer: -6*v + 9910","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -13\/2, -315, 1 in increasing order.\nAnswer: -315, -13\/2, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2\/1)*124\/(-434)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8059 + -8067. Sort 2, 6, x.\nAnswer: x, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than or equal to 23415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14532, -24220, -33908, -43596, -53284, -62972?\n\"Answer: -9688*s - 4844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 22 + 2 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -924.0565 to one decimal place.\nAnswer: -924.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 731244339 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-1\/16)\/v)\/v))**(-39) assuming v is positive.\nAnswer: v**(-1911\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 925 divide 4225400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h - 2*h**2 - h**2 + 4 + 3*h**2 + h**2. Let u be a(-14). Suppose 4*k - 4 - u = 0. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653 - 669 = -8*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59\/2*s + 1\/2*s**4 - 10 - 57\/2*s**2 - 17\/2*s**3.\nAnswer: (s - 20)*(s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 2890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143231320 (base 5) in base 3?\nAnswer: 1102112020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*a**4*m - a**3 - a**2*m + 29*m - 3 wrt a?\nAnswer: -1440*a*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22130 + 15970 = 10*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 3*b**2 - b + 16. Is 4 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 h when three letters picked without replacement from {f: 4, m: 4, h: 6, n: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48021.\nAnswer: 3, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 11*o + 15. Let x be i(10). Suppose a - 7 = -x. Suppose -4*q + 10 = -a*q. Solve q*v - 25 + 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2813 + -1865. Let w = c + -1008.9. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 + 1. Let q(i) = -i**3 - i**2 + 1. Determine 2*q(o) - w(o).\nAnswer: -2*o**3 + 4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + 1*sqrt(119)*2)\/sqrt(7).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21757597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-134)\/(-6))\/(1\/3). Suppose -92 = -3*i - 4*h, g = 3*i - 5*h - 7. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*y - 16*y - 6*y**2 - 8895*y**4 + 8901*y**4 - 2*y**3 to g*y**4 + d*y**3 + b + w*y**2 + a*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45 + -1 + -1 + (-937 - -923)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 - 10 = 0. Let t = -5244 + 5243.89. What is the closest to t in -4, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25815349?\nAnswer: 7, 383, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/66*45309\/21968?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b + 10*b - 9 + 2 - 2. Let k be s(8). Let d = k - 16. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s*s**(5\/2))\/s)\/s)\/s)\/s**(3\/11)*s*s**(15\/2)\/s*(s\/s**(1\/43))\/s assuming s is positive.\nAnswer: s**(4117\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**2)\/m)**23*((m*m**(-1))\/m*m)**45)**(-10) assuming m is positive.\nAnswer: m**(-460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:29 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 3360442860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 2. Suppose -3*h = -8*h - 30. Let y be n(h). Suppose -y = -4*g + 14. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475 is divided by 516.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 9}. What is prob of picking 1 b and 2 z?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 63 = -67*n. Which is greater: 6\/1253 or n?\nAnswer: 6\/1253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1503, 1501, 1499, 1497, 1495?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**3 - 8*d**2. Let s(z) = -2*z**2 + 95*z + 196. Let n be s(-2). Let j(m) = -m**3 - m**2. Give n*x(u) + 10*j(u).\nAnswer: 2*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-4)\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 470*c - 470*c + 77*c**2 + 0*c + 0*c + c**2 + (c - 2*c + 3*c)*(0 - 2*c + 0).\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78769, -157899, -237013, -316105, -395169, -474199, -553189?\nAnswer: -632133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 8*b**2 + 3*b + 3. Let s be n(9). Let q = 45 + s. Let u(h) = h**3 + 7*h**2 + 6*h + 8. Let r be u(q). Solve -12 + r = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/4)\/w**(-1\/3)*((w*w**(-5\/2))\/w*w)\/(w**(-2\/13)*w*w)*((w**(-3\/7)*w)\/w**(1\/9))\/(w**(2\/7)*w**(-3\/7)\/w*w) assuming w is positive.\nAnswer: w**(-10351\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*u - 2. Suppose -r + 3*l - u = 2, -1 = r - 2*l. Solve 20 = -r*x, 3*s - x + 4 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145871 is divided by 3103?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = f - 2*f, -o + 3 = 0. Suppose f = r - 5. Let d = -12 + r. Calculate the lowest common multiple of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i - 3. Let s be f(-1). Suppose -5*d + 0*d + 21 = -4*g, 3*g + d = -s. Let o(v) = -3*v**2 - 50*v**3 - 3 + 26*v**3 + 23*v**3. Determine o(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 866 and -0.05869.\nAnswer: 865.94131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:40 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 8*g + 24 = 0. Solve o - g = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/5)*j))\/j)**(1\/42)\/(j*j*j**(-2))**(2\/31) assuming j is positive.\nAnswer: j**(-1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -143. Suppose 0 = -2*g + 4*q, g = 2*g + q + 6. Calculate the remainder when z is divided by 146\/8 - (-1)\/g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14106 - -14106.00000056765. Round t to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in -1\/2, 3, -1\/3, -1, -15.45, 24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -108. Which is the biggest value? (a) -1 (b) -3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7228297.373 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (-1 - 0)) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 3. Let j be b(-8). Let s be 18\/40 - j\/20. Let p(f) = -f + 3. Let o be p(2). Which is greater: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1) + 7087\/2984. Which is the nearest to 16? (a) 0.1 (b) -2.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 15*x**2 + 8*x + 18. Let q = 72 + -80. Let h be y(q). Let o = 0.03 + -0.53. Which is the biggest value? (a) o (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-1)\/9)\/(16\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1914*i - 1904. What is r(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18181.17 months in decades?\nAnswer: 151.50975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 43 + 16*z - 90.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -527, -788, -1031, -1250, -1439?\nAnswer: -1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 12*c - 15*c - 1 = -4*c, 0 = -c + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrrcrrsrcsrjrsjlls. What is prob of picking 3 r?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2160 and 16710?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:56 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -18. Find the second derivative of -11*p**2 + 12*p - 7*p**2 - s*p - 4*p wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-2.42.\nAnswer: 43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a)\/(a**(-4)*a))\/(a**0)**(-33))\/((a*a*a*a**(-1))\/a**(-2\/13)*a*((a\/a**(-1\/4)*a*a)\/a)\/a*a**(-2\/7)) assuming a is positive.\nAnswer: a**(-407\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 15.3273?\nAnswer: -2.758914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.725 + 0.495. Let o = 549.77 + -555. Let f = i - o. Sort f, -3, -0.3 in descending order.\nAnswer: f, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108839026, -108839029, -108839034, -108839041, -108839050, -108839061, -108839074?\nAnswer: -108839089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 423 + 4249 = 576. Calculate the remainder when p is divided by 170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2834\/31 + 202007\/2170. What is the common denominator of g and 19\/49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 34*k**2 - 40*k + 70. Calculate w(35).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 13*d**2 - 6*d - 2. Let z(v) = -2*v**3 - 16*v**2 + 6*v. What is -6*h(w) - 5*z(w)?\nAnswer: -2*w**3 + 2*w**2 + 6*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*0*11\/(-132)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*d**5 + d**2 - 87*d.\nAnswer: -7860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202508716 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 16*q**2 - 182*q + 62. Give g(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/135 and -139\/70.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 196 - 1370\/7. Let x = -1.97 - 0.03. Which is the second smallest value? (a) u (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {h: 5, f: 1, n: 4, c: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, and 1 j when three letters picked without replacement from {x: 1, z: 1, l: 3, j: 3, s: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2074.97 - 2066. Let g = 0.03 + n. Let o = g - 13. What is the smallest value in 0.4, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7947?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.85908kg in nanograms?\nAnswer: 48859080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = g - 24, 6*g - 56 = -3*k + 7*g. Suppose -16*d + k*d = -4*y - 4, -2*d - y + 3 = 0. Solve -3*r + 4 = -6*r - 4*m, 0 = d*r + 3*m - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134, 283, 446, 629, 838, 1079?\n\"Answer: i**3 + i**2 + 139*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*q + 13\/3*q**2 = 0. What is q?\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-544)*221)\/((-494)\/(-5662))?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3489 - 3489 + 145*l)*(-1 - 3 + 6)*(-1 - 2 + 4) as q*l + w and give q.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -531.321 + -0.153?\nAnswer: -531.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2176*m - 74462 = 209*m + 56713 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -102130?\nAnswer: 102150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41369197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Suppose i = 2*r - 3*r - 5. What is the units digit of 66\/10 - 2\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020022212 (base 3) in base 12?\nAnswer: -40295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*i - 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210200 - -12022202012?\nAnswer: 12021221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 + 142. Which is the fourth biggest value? (a) r (b) -0.4 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3672 and 2058?\nAnswer: 1259496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81285*h**3 - 3*h**2 + 8*h + 410?\nAnswer: 487710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739796263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*u + 196*u + 20 - 68.\nAnswer: -u - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-4))\/(7*(-1)\/37898)?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1101034665?\nAnswer: 1101035000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6743, 6742, 6741, 6740, 6739?\nAnswer: 6738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = -25*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/3 + 2*v**4 + 4*v**3 - 16*v**2\/3 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16244780, -16244778, -16244776, -16244774?\nAnswer: -16244772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 421*z - 133. Calculate c(-22).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 10 - 3 - 3*p to the form t + v*p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + y**2 - y**2)*(y**3 + 3*y**3 - 2*y**3) + (4*y**2 + 0*y**2 - 3*y**2)*(-y**3 + 2*y**2 - 2*y**2) - 18 - 5*y**5 + 18.\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {p: 4, h: 1, e: 4, v: 1, j: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/545?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or 4\/227?\nAnswer: 4\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7737876194.3 and 0.3.\nAnswer: 7737876194.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280, -536, -796, -1060, -1328?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:21 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((2*(5*(sqrt(180) + 1) - sqrt(180) - sqrt(180)) - (-5 + (-3 + sqrt(180) - sqrt(180)))*2) + -4))**2.\nAnswer: 1584*sqrt(5) + 6964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 0)*1 + (2*sqrt(637)*-2)**2 + ((-2 + 5*sqrt(637))*-6)**2.\nAnswer: -5033*sqrt(13) + 583636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w - 54. Let j be x(7). Let g = -11 - -13. Suppose 3*t + g*t - j*u = -230, 4*u + 260 = -5*t. Sort -3, 2, t, -5 in ascending order.\nAnswer: t, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -5, -2.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1085696929 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 542118*x + 542118. Give c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 59 = -7. Suppose -27 = -2*c - 2*b - b, -o = -c + b. Let x = c + -10. Calculate the least common multiple of 2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (2 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 10*g - 7*g. Let u(y) = 0*y**2 - 5*y**2 - 3*y**2 + 7*y**2. Give w(u(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/9*-157*21686259\/14. Suppose 0 = 12*y + 214146985 + l. What is y rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 c when four letters picked without replacement from rwrwccxrrxcrcxrcr?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*y = -4*y + 8, 2*y = 3*t - 12. Let n(k) = 38*k**3 - 2*k**2 - 2*k + 1. List the prime factors of n(t).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 2}. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.9053893 nanoseconds to hours.\nAnswer: 0.00000000000247371925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -55.\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -485874, -3, -185, -1\/4?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**4 - 5*g**3 + 4*g**2 - 5*g - 7. Let b(c) = -6*c**4 - 4*c**3 + 4*c**2 - 4*c - 6. Let l(y) = -5*b(y) + 4*t(y). Factor l(x).\nAnswer: 2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p - 34. Let m be n(0). Let s = m - -36. Solve k = -s + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 3\/4 (b) -0.12 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-102154)\/(-12) - 19\/(-114) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**4\/4 - 2*k**3\/3 + 4*k**2 + 3*k - 2017. Give c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3213130313 (base 4) to base 11.\nAnswer: -59829a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -845, -5 in increasing order.\nAnswer: -845, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - 32*n + 119. Let t be m(-9). Solve 0 = 3*f - 4*h - t - 10, 5*h = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.68793+192\nAnswer: 207.68793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 131*a**3 + 21 - 320*a**3 + a in the form d*a**2 + u + o*a**3 + b*a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 3*u)*((-9 - 3 + 9)*(0 + 0 - u) - 2 + 2*u + 2 + (-4*u + u + u)*(-4 + 4 - 2) + 0*u - u + 4*u + (2 - 1 + 2)*(0 - 2*u + 0)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27863 is divided by 258?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34251 and 27?\nAnswer: 308259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -0.5, 5, 16\/7, -1\/8 in decreasing order.\nAnswer: 38, 5, 16\/7, -1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 976, 1458, 1940, 2422, 2904?\nAnswer: 3386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 259.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 4 (c) -12378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, a: 7, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(2 + 9) + -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.2 (c) -5 (d) 3.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 2*u**2 + 13*u - 4. Give x(-5).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 3*z**2 - 2 + 5*z + 3*z**3 - 4*z**3. Let t be d(3). Suppose -q = -t*q. Solve -v + 0*v - 3*c - 15 = q, 0 = -3*v - 3*c - 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315326462?\nAnswer: 2, 11, 83, 172687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.295 times -0.1\nAnswer: -0.1295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 697?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -601883 to the nearest 1000.\nAnswer: -602000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 times -2686?\nAnswer: 641954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 58*m**2 - 3*m + 6. Calculate q(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - -3.02. Let k = -2.9996 + n. Round k to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850475 divided by -2850475?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17673, 35147, 52427, 69513, 86405, 103103, 119607?\nAnswer: 135917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*z + 245, 0 = 5*z + 2 - 17. What is the remainder when 398 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1112.7 + -1084.365. Round h to 1 decimal place.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:49 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*d + 241 = 80, 2*d + 634 = 4*n. Let p be (n\/(-7))\/((-6)\/4). Let r = p - 1152\/77. Which is the smallest value? (a) 2 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11988*b**2 + 45*b + 45. Let p(g) = -545*g**2 + 2*g + 2. Let v(t) = -2*m(t) + 45*p(t). Let y(d) = -2*d. Determine v(y(a)).\nAnswer: -2196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127191065?\nAnswer: 5, 25438213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8609275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -2, 69, 3, -571 in descending order.\nAnswer: 69, 6, 3, -2, -4, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 32*t**3 - 96*t**2 + 44*t - 2. List the prime factors of f(11).\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642861609.\nAnswer: 3, 13, 16483631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -15. Let o be 5 + w\/(3\/4). Suppose -15 = 5*i, -2*r + 3*i = -0*i - 9. Solve a + 1 + o = r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 23*i**2 - 24*i - 34. Let x be b(-22). Suppose 0 = x*n - 2*n. Solve 5*p = -n*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckkckkkkck. Give prob of picking 1 c and 1 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 82*f**2 + 19*f + 1562. What is q(-82)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 - -4.7. Let r = -34\/75 - -3\/25. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -353\/3234 + -4\/147. Put q, 0, -3, -4\/3 in decreasing order.\nAnswer: 0, q, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/(a\/((a*a\/(a\/(a**1*a)))\/a)))**(-21)\/((a\/(((a\/(a*(a**0*a)\/a*a))\/a)\/a))**37)**(-33) assuming a is positive.\nAnswer: a**4989","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8562 + -8562.2. Put 65, 2\/3, -0.7, g in increasing order.\nAnswer: -0.7, g, 2\/3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -2.14 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - (-5 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*y - 6, -1255*y + 5*r + 25 = -1254*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2) - (1 + -6). Suppose i*y = -2 + 10. Suppose -n - 4 = 5*s - 19, 3*s - 22 = 2*n. Is s at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-9\/2)*r\/((r*r**(-1\/70)*r)\/r))**10 assuming r is positive.\nAnswer: r**(386\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7))**(-13\/5)\/(a\/a**(1\/4))**(-6))\/((a**3\/a*a\/a**(-2\/13))\/(a\/(a*a\/((a*a**(-4\/9)\/a)\/a))*a**(-4\/5))) assuming a is positive.\nAnswer: a**(-8585\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 695 and 10?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*m + 8 - 24 = -109*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-7865)\/(-66))*(-2)\/(8\/(-20)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -351 + 346. Which is the third smallest value? (a) -0.3 (b) 16 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12517 (base 8) to base 12\nAnswer: -31a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.917 minus 0.016?\nAnswer: 6.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*l = 0, 3*q + 2*l = 2*q + 12. Suppose i - 3*r = 22, -q*i - r + 43 = 2*r. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12364097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9480*y + 964 = 215*c - 9477*y, 5*y = -2*c - 175 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by 10799.\nAnswer: 131\/10799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, and 2 f when four letters picked without replacement from {f: 4, h: 6, z: 9}?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11808?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57244 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Suppose -6*d - 176 = -4*d. Let h be (16 + 4)\/(-5)*(-3)\/4. Let v be d\/10 - h\/15. Let a(m) = -m**2 - 4*m. Give v*s(l) - 2*a(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.23 (b) -5 (c) -0.3 (d) -1\/12 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 31 = 5*h, 38894*h + 11 = c - 38900*h + 77793*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 372\/(-42))\/((-9)\/(-21)). Suppose -m*o = 3*r + 18 + 121, 3*o = -6. Calculate the common denominator of 131\/18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -50 + (-26 - -66)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4977 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (1 - (-246 - -7)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -52*s + 7. Let w(q) = 97*q - 15. Give 9*g(j) + 4*w(j).\nAnswer: -80*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 203. Let m be j(-112). Let a(f) = -f**2 - 22*f - 23. Determine a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3052 and 2212.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(3 - 5 - 6)*(-d - 3 + 3)*(0 + 1 + 7)*(0*d**2 - 4*d**2 + d**2).\nAnswer: 384*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - 5.5. Let w = -0.9 - -1. Let d be (6\/(-63))\/(261\/609). Put d, w, 1, v in ascending order.\nAnswer: d, w, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10, -3*w - m - 14 = -5*w. Suppose y + 4*q = 9, 2*y + q - 3 - 1 = 0. Is y*(w*27 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*f - 68*f. Let y(o) be the third derivative of 0*o**4 - 1\/100*o**5 + 15*o**2 + f*o + 1\/10*o**3 + 0. Find j such that y(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (422688\/(-4488))\/(4\/(-22)). Solve 533*w - c*w - 60 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 3*a**4 - 4*a**3 - a + 2*a**2 - 4*a**4 + 6*a**4 + 0*a**2 in the form f*a**4 + x + t*a + u*a**2 + g*a**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4871.91 to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*u + 6, 2*t + 2 = 4*u + 6. Calculate the highest common divisor of 3 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 882.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i - 21*i**2 - 36*i**3 - 14*i + 5*i + 8*i + 2.\nAnswer: -(3*i - 1)*(3*i + 2)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 554*v + 16456. Give c(-32).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrxrxrrrxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4016418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (-4*sqrt(1100)*-1)**2) + sqrt(1100))*-4 + -4*-3*sqrt(1100)*-6 + 0 + -1.\nAnswer: -800*sqrt(11) + 70399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -404 - 0.06.\nAnswer: -404.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -13\/200*t**6 + 0 - 1\/350*t**7 + 0*t - 19\/8*t**4 + 27*t**2 - 5*t**3 - 57\/100*t**5. Determine b so that s(b) = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 15. Let s(d) = 148*d + 597. Let r be s(-4). Solve 0*l = -3*q + 4*l, -5*q = -v*l - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmwwdxfwxfxxx. Give prob of sequence ww.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10930287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*g - 1378 + 98 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -2*v**2 + 1\/120*v**6 + 0 + 0*v - 1\/15*v**5 - 1\/4*v**4 + 7\/6*v**3. Let u = -185 - -190. What is d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*z + 5, 0 = j - 0*z - 2*z + 2. Let t = 18 + -13. Suppose 0 = -3*c + t*u + 951, 2*c - 3*c + 3*u + 317 = j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*a + 909, -4*l = -4*a + 165 - 1029. Suppose 0 = -l*p + 220*p + 44. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 7. Let b(k) = -6*k**2 - k - 20. What is -3*b(a) + 8*u(a)?\nAnswer: 2*a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 916184 times -1051\nAnswer: -962909384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a + 16. What is the remainder when r(7) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by -5\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 868 and -0.2.\nAnswer: -173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*g + 89*g - 45*g - 3*g**2 - 1 - g**2 + 1 + (1 + 2 - 1)*(-3*g**2 + g**2 + 4*g**2) + g**2 + 4*g - 4*g.\nAnswer: g**2 + 85*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008966 to 5 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 1\/10*c**6 + 0 + 5*c + 0*c**3 + 1\/5*c**5 + 0*c**2 + 1\/12*c**4. Solve v(d) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 3, v: 4, o: 1}. Give prob of sequence ovv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 2d?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10071, -20326, -30581, -40836?\n\"Answer: -10255*h + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zczvcscvvarvv. What is prob of picking 1 s, 1 v, and 2 z?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40521 - -24?\nAnswer: -40453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 28.844115\nAnswer: -14.4220575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 11) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 7*x**2 - x - 8. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 7*p + 2. Let i be ((-2)\/8)\/((-2)\/40). Suppose 2*g - 3*t = 2*t + 1, i*t = -3*g - 36. Determine x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annjkxj. Give prob of picking 1 a and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/25))**44*q**(-8)\/q*q*q*q*q**20 assuming q is positive.\nAnswer: q**(438\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 2 - 5*d**2 + 4*d**2 + (5 + 7 + 1)*(0*d**2 + 2*d**2 - d**2) to the form i*d**2 + q + o*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897939?\nAnswer: 1897939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8921*o = 8773*o - 4440 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -120241234 (base 5) to base 11\nAnswer: -34a660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.01048*2.\nAnswer: -178.02096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 0*w - w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/((4\/4)\/160). Let h = j + 333. List the prime factors of h.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 816950165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*v + 5 + 1, o = 4*v - 15. Let b(s) = 0*s + 2*s + v + 0*s**2 + s**2 + 80*s**3 - 6*s. Is 16 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4571 - -0.8989. Round m to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 14. What is the remainder when n(13) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -337*x**2 - 22*x + 1689. Let s(v) = -336*v**2 - 18*v + 1691. Let m(h) = 5*k(h) - 6*s(h). Find the first derivative of m(q) wrt q.\nAnswer: 662*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*h = -56, 0 = 3*a - a + h - 31. Let n = 1815 - 1807. What is the remainder when a is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 15) to base 4.\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -0.5, -7\/2, -1.4, 3\/8, -1, -3\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8854 - 2?\nAnswer: 8852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.943 - -0.107. Let m = 0.05 - j. Suppose -l = 3*l + 8. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339986624 is divided by 6582?\nAnswer: 6578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-68 - -56) + (-11 - -58)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -526 and -94.5?\nAnswer: 49707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 33*l - 88 = 0. Solve 0 = 8*h - l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 - 68*q**2 + 206*q + 64. Let k be d(19). Let s(t) = t**3 - 19*t**2 + 4. Let i be s(19). Put -14, i, k, -1 in ascending order.\nAnswer: -14, -1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12671439 times -1?\nAnswer: 12671439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(1\/10)\/(f**(-10)\/(f**(-12)\/f)))**(-31) assuming f is positive.\nAnswer: f**(899\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4 + 5\/(-10). Suppose y - 3*q = -2*y + 162, y = x*q + 54. Calculate the highest common divisor of y and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49880 and 2552.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17066 = 3*q + f, 5*f = -3*q - 5075 + 22149. What are the prime factors of q?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*v**2 - v**2 - 10 + 4*v**3 to the form w*v**2 + z*v + h*v**3 + a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1 - 2 + 2*b + 0 - 2. Let s be o(4). Solve -5*w = -5*l - 10, s*l + 11 = 3*w + w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349 - -833. Let n = 595 - g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 1.1. Let d = -1.3 + 3. Let g = d + 3.3. Sort c, -5, g in ascending order.\nAnswer: -5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37559\/5 - 7478. Let y = z - 34. What is the nearest to 1 in 3, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v**3 + 10*v**2 + 41*v - 2. Let p be t(-5). Let j = p + -812. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 17 - -1) + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -20) + (-2 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4418 - 4417.992659. Round t to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -282*k**2 - 1645. Let y(t) = 562*t**2 - t + 3288. Let l(z) = 5*r(z) + 2*y(z). Find the second derivative of l(m) wrt m.\nAnswer: -572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Suppose 4*g - 145 = c*g. Suppose -g = 4*r - 4*p - 1181, 5*r + 4*p = 1277. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287037397 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 83*d**2 - 11. Let u(z) = 213913*z. What is u(l(v))?\nAnswer: 17754779*v**2 - 2353043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(304))**2 + sqrt(171)*3.\nAnswer: 9*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 2. Let y = -5.8 - -5.5. What is the third smallest value in 1\/5, y, i, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7413?\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = v - 3*x - 14, 3*v = -4*x + 32. Suppose -t = b - 4 - v, -t - 5*b + 12 = 0. Suppose 2*u = t*u - 115. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13122 - 3035. Let y = c + -1942. Let k = y + -4982. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1111841.451 milliseconds?\nAnswer: 0.0018383621875","meta":{"dup_signals":{},"source":"measurement__conversion_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 l(g) = g**2 + 4*g - 5. Let x be l(-5). Let o(m) be the third derivative of -m**5\/30 + m**4\/24 + 2*m**3 - 465*m**2 + 1. Determine o(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1654 + -837. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24833 and 7842.\nAnswer: 148998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from {t: 2, y: 9, b: 8, p: 1}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*s + 15 = -7 + 1, -m = 90*m - 2*s + s - 187 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*m - 4 + 4 to k*m + b and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -6*j - 3096. Let v = j - 253. What is the remainder when v is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b + 7. Let p be v(-1). Let r(w) = -w**2 - w + 1. Let j(t) = 19*t**4 - 3*t**2 - 3*t - 24. Let c(u) = p*j(u) + 3*r(u). Differentiate c(o) wrt o.\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/2)\/8)\/(8\/32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 12. Suppose 5*j - 6*x + 4*x + 44 = 0, -x + 27 = -3*j. Let k = j - c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*y - 9 - 40*y**2 - 6 - 125*y**2 - 61*y - 74*y wrt y?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 578\/3 + -193. Let v = 0.26 + -2.26. Let w = -81\/154 - -2\/77. What is the closest to w in q, v, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 88?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 6*z**2 + 3*z**2 + 0*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.25 - -398.65. Let u = k + -422.729. Let i = u + -5.2. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 4*u**3 + 0*u**3 - 2*u - 6*u**3 to the form s + q*u**3 + n*u + t*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 2 (c) 109\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = a + h, -6*a + 4*a + 4*h + 478 = 0. Let r be (-1)\/8 - a\/(-56). Solve 2*l = -m - r*m - 8, m + 4 = 2*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 - (294 - 299) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+2671512084190.2\nAnswer: 2671512084194.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*c, 3*a + 5*c - 12*c + 6*c = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19911\/41 greater than -487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*p = -3*t + 18, -3*t + 13 = 2*p. What is the tens digit of t\/(-2 + (-2)\/8)*-42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34512409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411028 >= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-19)\/((-2394)\/140).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/32289, 0, -1, -4\/7, 5, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/24 (c) 3916\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 76 + t**2 + 49 - 3*t**2.\nAnswer: -t**2 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24135415 - -40?\nAnswer: 24135455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -11.99895. What is o rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Suppose -p*f = -3*f - 6. Let z = 24 + -19. Solve 7 = -z*h - f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 13*o = 1624. Let h be (-210)\/1*(-4)\/10. What is the greatest common divisor of o and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 537622 + -537620. Let v = -7.85 - -8. What is the third smallest value in o, -5\/3, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/15 and -23\/193740.\nAnswer: 193740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:42 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (12\/(-15))\/((-7)\/(-35)). Suppose 0 = a*b - 19832 - 693. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 4) in base 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -26. Let y be (54\/10)\/(n\/50). What is the highest common divisor of 198 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 97a22b2?\nAnswer: 97a22b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*o = -2*y, -4*y + 3*o + 35 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 1. Let s = -4.1 - u. Let p = -53 + 52. Which is the smallest value? (a) s (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3 and -44\/3353.\nAnswer: 10059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*r - 4*d, -6*d + 25 = 5*r - 2*d. Let t(h) = 7*h**2 - 3*h + 4. Let a(f) = 6*f**2 - 3*f + 3. Let p(m) = 6*a(m) - 5*t(m). Is p(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*n = -4, 0*n = -2*d - n + 10. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121978 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 - 31. Let m = l - -2528\/11. Which is the third biggest value? (a) -1\/4 (b) -17 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -723? (a) 0 (b) 1\/4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.31566l in millilitres?\nAnswer: 79315.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 4, d: 2, h: 1, n: 2, l: 3}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 762*i - 761. Determine b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 47, 58, 67, 74, 79?\n\"Answer: -u**2 + 16*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 9373?\nAnswer: 187460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 11466.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 14924, -5, -1, 1\/7 in descending order.\nAnswer: 14924, 1\/7, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 95 - 8*z + 3 - 3 - z + (3 - 4 + 6)*(0*z + 7*z + 0*z) as y + t*z and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from {n: 2, s: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 11:18 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, n: 1, h: 1, m: 2}. Give prob of sequence mm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o - 49 + 49 as j + h*o and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 283.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5811*h + 13808*h - 2075*h to a + x*h and give x.\nAnswer: 17544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2870 and 9534.\nAnswer: 1954470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 2 - 17*p + 15 - p wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 3*h - h)*(-2*h + 3*h - 3*h) - 16 + 16 - 5*h**2)*(2*h - h + 3*h).\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/9250 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 152379994*z\/7 - 152379996\/7.\nAnswer: 2*(z - 1)*(z + 76189998)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -9. Let n(l) = 6*l + 2. Let i(g) = 1. Let d(t) = -2*i(t) - n(t). Does 20 divide d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 10*l**2 - 11*l - 3. Let u be q(-11). Let p be (-1)\/10 + 6\/(-20). Which is the closest to p? (a) -2\/13 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69 and -418.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1))**(-2\/43))**34)**(3\/8) assuming i is positive.\nAnswer: i**(-51\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-3) - 2) + (-385)\/(-231). Suppose -r*p + 2*p = -b - 98, 0 = 4*b + 16. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1101 - 1083) + (-1 - 25) + -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 - 633 = 9*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -55.94, 0.4, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6676 + 7.46.\nAnswer: 8.1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654880 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15480 and 119565?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s + 2. Let h(y) be the second derivative of y**3\/6 + 2*y. Let p(u) = -d(u) - 4*h(u). What is p(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4 + 35*c**3 - 323*c**2 + 289*c = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 + 6*k + 7. Let y = 179 - 176. Let o be y*((-12)\/(-9) - 3). What is n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5198, 20446, 45740, 81080, 126466?\n\"Answer: 5023*u**2 + 179*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-261)\/(-3))\/(3\/57) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 675100.\nAnswer: 7426100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = y + 34. Let w be (6\/(-24))\/(3\/y). What is the greatest common divisor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 0)\/((-70)\/28). Let m = 6 - o. Calculate the highest common factor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -23. Let b(r) = -r**2 - 2*r + 2. Let i be b(5). Let g = j - i. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/3)\/((-2)\/6). Suppose -20 = -n + d, -4*d + d = -u*n + 92. Calculate the remainder when 141 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**2 + 62*n**2 - 15*n**2 + 63*n**2 to the form w*n + j*n**2 + i and give j.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004111 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/5 and -43\/73?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2, 4*l + 414 = 4*g - 442. Suppose 4*q = -q + g. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 35*d + 399. What are the prime factors of d?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656 divided by 164.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 247894 + 454?\nAnswer: 248238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 8*d - 6. Let q be h(-9). Does 11 divide 2 + 0 + q + 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 34684000 = -15*p. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1)\/(-21)*-1. Sort 1, 2\/7, t in descending order.\nAnswer: 1, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h + 4*h + 0*h - 5*h + 53*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q - 145*q = -71*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(504) + sqrt(504))*2)\/(sqrt(48)*2))\/((2*(sqrt(378)*-3 - sqrt(378) - sqrt(378)))\/sqrt(7)))**2.\nAnswer: 7\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*s - 13801698 = 264*s + 2517786. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1.7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -73\/895, 19, 7\/23?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 4 + 0 + 29*h + 54*h - 17*h to the form w + t*h and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-184)\/(-20)*(8800\/(-64))\/55?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 3 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-4716)\/378 - ((-4)\/6)\/(-1)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*q + 163*q - 264*q = -234 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 37. Suppose -2*h + 3*o = 3*h, 4*h - p*o = 0. Let q = 0.9 + 0.1. What is the closest to h in 5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*v = -33, -33 = -6*k + 4*k + 3*v. What is the tens digit of (-18)\/3*(2 - 138\/k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)\/(b**43\/b))**(18\/5) assuming b is positive.\nAnswer: b**(-9864\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376002627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 7*m + 19. What is o(3)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 - 121865*o**2 - 1583330*o + 1705200 = 0.\nAnswer: -24360, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1283 by -1739.\nAnswer: 1283\/1739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 4) + 6 + 2. Solve -3*z = 3*c - 15, -3*c - 1 + 22 = i*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (42 + -53 - -68).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 102. Let x = f - -58.99989. What is x rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6*j - 15 = -5*w, 29 = 5*j + w. Suppose s = -4*l + 3, -l - 3*l + 15 = j*s. Suppose 5 = -v + 2*v, -182 = -s*n + 2*v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from {a: 2, x: 3, h: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -1470, -3236, -5626, -8586, -12062?\nAnswer: -16000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/14*(-28)\/(-6). Suppose -2*p + 51 = 5*r, 0*p = 5*p - x*r - 45. Suppose 497 = -12*t + p*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 147. Let z be (1\/5 + 1)*10. Calculate the highest common divisor of z and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let t = c - -1.7. Let z = t + -0.8. What is the second biggest value in 0.2, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -u - 6 + 15, 3*u - 4*f - 17 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12223*w**2 - 1045*w**2 + 4313*w**2 - 42 - 18624*w**2.\nAnswer: -27579*w**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 0.3, -1 in decreasing order.\nAnswer: 3, 1, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 18*z**2 + 1. Calculate j(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoz when three letters picked without replacement from {z: 4, o: 2, x: 1, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30191 or -30193?\nAnswer: -30191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1285638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/4)*b\/b**(3\/2))\/((b*b\/(b\/b**(1\/11)))\/(b\/((b*b\/(b*b**(-2)))\/b))) assuming b is positive.\nAnswer: b**(-59\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 5*p + 8. Let w be -39 + 33 - -1*(-1 + 0). Determine t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {k: 6, c: 1, h: 2, l: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 43*b. Let k(x) = -17*x + 964. Give w(k(q)).\nAnswer: -731*q + 41452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/13 + (-2742)\/(-78). Suppose 4*f + 320 = -5*q, -q - 44 = f + u. Let g = 68 + f. Which is the nearest to -2\/3? (a) -3 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2\/13, 2, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 304*n - 733. What is d(4)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.5 times 0.0984?\nAnswer: 17.2692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154463 is divided by 15395.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4841303 weeks to milliseconds.\nAnswer: 292802005.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose 2*j = -j - 5*a - 28, -l*j + 3*a + 13 = 0. Let r be j\/(3\/1020000)*10. Round r to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1088)*-1 + (sqrt(1088) + 0)*-2 - -5*-6*(sqrt(1088) + sqrt(1088) + 0 - sqrt(1088)))**2.\nAnswer: 528*sqrt(17) + 1184833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -37033591609 and 4.\nAnswer: -37033591605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7926855 to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnncnvn. What is prob of picking 2 n, 1 c, and 1 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s + 13 = 3*b, 2*b - 5*s = 0. Suppose -7 = 2*u + b*y, -3*u + 2*y + 3*y + 52 = 0. Suppose t = w - u, 1 = t - 0. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1579\/9*w**2 - 1577\/9 - 3155\/9*w - 1\/9*w**3.\nAnswer: -(w + 1)**2*(w + 1577)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-19 + 38 - 20)*(1 - 1 - n) + (2*n + n - n)*(0 + 3 - 5).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 1. Let t be 2 + (-4)\/(0 + -1). Give i(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/378 and 86\/21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 24*r + 81. Let j be r + 36 + 2\/(-2). What is the greatest common factor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8085584t?\nAnswer: 808558400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -15, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 881324 and 45188?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6678 divided by 186.\nAnswer: -1113\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -181, -294, -407, -520?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 81.9765. Let f = -0.4765 - c. What is the smallest value in f, 0.5, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**6\/285 + 5*f**5\/19 + 97*f**4\/114 + 16*f**3\/19 - 565*f. Factor b(x).\nAnswer: 2*x*(x + 1)**2*(x + 48)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -317*c + 7167. List the prime factors of a(-91).\nAnswer: 2, 11, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-51)\/(-36)))\/((-85200)\/400)\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 2, n: 4, t: 3, f: 2}. Give prob of picking 1 z and 2 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*b, 4*b - 34 = -j - 26 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20696 and 2028.\nAnswer: 807144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -3*o - o. Let a = -33 - o. What is the remainder when a is divided by ((-4)\/(-3))\/(2\/21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151010282?\nAnswer: 2, 73, 1034317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 753.1 - 1002. What is u rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**3 + 973 - 670*o**2 - 36975*o + 36872 - 195*o**2 = 0?\nAnswer: -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*u - u + 8, -3*t - 2 = -u. Let o be 3*(-1)\/(u\/48). Let p = o - 14. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**4 - 10*r**2 - r - r**3 + r**5 + r + 14*r**2 = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 1\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**(5\/2)\/((q*q**1*q)\/q*(q*(q*(q\/(q**(-4)\/q))\/q)\/q)\/q))**33 assuming q is positive.\nAnswer: q**(-759\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 154474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47656938*w + 100686364.\nAnswer: -47656938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1468 + -1466. Let 1\/8*y**l - 1\/8 - 1\/8*y + 1\/8*y**3 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 106 - 200 = 36*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 = r - 4*c, 5*r = 3*c - 2*c - 2991. Let l = 1232 - 223. Let u = l + r. What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/2)*r*r\/(r*r**(-1\/5)\/r))**(-3\/10) assuming r is positive.\nAnswer: r**(-141\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 6920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.35651cm in nanometers?\nAnswer: 683565100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139681 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(240))\/sqrt(4))\/(sqrt(192)*-1)*-4.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -530098*g**3*o + g**3*v - g**2*o*v + 16093*g wrt o?\nAnswer: -530098*g**3 - g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*a - 8317*a**2 - 70 + 221*a**2 + 67 + 221*a**2 wrt a?\nAnswer: -15750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 2 + 2)*(914677*z + 2281*z**4 - 914677*z) to u + s*z**3 + x*z + o*z**4 + j*z**2 and give o.\nAnswer: -20529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200021228 and 6292?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1376 + (10\/4)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 68. Suppose -w - 5*i + 61 = 0, z*w + 4*i - 110 = w. Calculate the remainder when 101 is divided by w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 4) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 59 = u - 3*c, -u + 5*c = -56. Let b = 92 - u. Suppose -2*f + y = -2*y - b, 2*f - 21 = y. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66041 is divided by 2639?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 677274081 from 1.\nAnswer: -677274080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p - 5. Let w be u(1). Suppose -2*h + 5*i - 12 = -w*h, -4*h = 4*i - 16. Solve -2*c = -h - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = m, 3*z + 2*m = -m - 36. What is the tens digit of 4\/z*-2*17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -75?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.208 and -20.843.\nAnswer: 171.079344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880*y + 76 = -861*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y + 444 = 2474. What is the remainder when 3303 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36367 - -5?\nAnswer: 36373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -8. Suppose 2*l + 8 = -5*b + 2, 4*l + b - 6 = 0. Calculate the highest common divisor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 816 and 4426256?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 160470303000 to the nearest 1000000.\nAnswer: 160470000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(15\/120)\/(78\/6032)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 621\/6 - 6\/(-4). Let h be 1\/j*(-2980)\/(-104). Let l = h + 1\/78. Put 0.5, -0.5, l in descending order.\nAnswer: 0.5, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-7) - (1 + 0). Suppose -g*c = -c + m - 7, 5*c - 70 = 2*m. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322797 is divided by 599.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/2))\/o)**(-1\/58)\/(o\/o**(1\/2)*o**(4\/7)))**(2\/7) assuming o is positive.\nAnswer: o**(-877\/2842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -5) + (5 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 655, 2620, 5887, 10450, 16303, 23440?\n\"Answer: -y**3 + 657*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - 5.13. Let z be (3\/(-4))\/3*-3. Suppose 0 = -4*p + 5*m + 20, 0 = -3*p + 4*m - m + 12. Which is the nearest to p? (a) -4 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147445321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 304257769 - -0.218\nAnswer: 304257769.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -7\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1071524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 231169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3400 - 3407. Let m(o) be the first derivative of -o**2\/2 - 6*o + 14. Calculate m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 + 10 = 0. Suppose -j*p = -6*p - 1. Let f be (-133)\/7*(-3 + p). What is the highest common factor of 38 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -57*h**2 + 230*h + 35. Calculate q(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 223750, 895013, 2013784, 3580063, 5593850?\n\"Answer: 223754*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642835 is divided by 126340.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:44 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 4804 = -167*v + 8031. Solve -v + 74 = -11*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253155, -253129, -253131, -253173, -253267?\nAnswer: -253425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*m + 7*m**3 + 29*m + 2*m**3 + 3*m - 3*m + (4*m**3 - 3*m**3 + 0*m**3)*(1 - 1 + 1).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -2\/13?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120 + 150 - (2 - -10)) + -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74240857.6 rounded to the nearest 1000000?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 - 1)*(-6 - 4*h + 6) - 7*h - h - h)*(-2*h**2 + 1 - 1) to l*h**2 + a*h + d + i*h**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(350) + sqrt(14))\/sqrt(2) + (sqrt(7) - (sqrt(175))**2*-4))*3 + (-1 + sqrt(7)*4 - sqrt(56)\/sqrt(8)*-6) + -1.\nAnswer: 34*sqrt(7) + 2098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*t + 6, 5*m + 46*t + 8 = 44*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1672\/198*189\/168*4\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/12)\/1*(-900984)\/10726?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + 20. What is the highest common divisor of 138 and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13280*w**2 + 0 + 12478*w**2 + 0.\nAnswer: -802*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*f + 330*f - 661*f + k - 12, -4*f = -k + 33 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 7*m + 7308. Suppose -15*g + 21*g = m. Let z = -36 + g. What are the prime factors of z?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -110023233112?\nAnswer: 110023232230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 1, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 11\/6, -2\/7, -1\/4?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-1360))\/((-3)\/(-4)*1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -26729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbbjbfbyjbyypjfjfyfy. What is prob of sequence pbfb?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z + a + 561 = 0, 0 = 3*z - a - 337. Suppose -3*p + z = 43. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41017 divided by -879?\nAnswer: -41017\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let c be 1 - (1 - (1 - j)). Suppose f = -c*y + 21, -3*f + y + 33 = -0*y. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/2))\/t)\/t**(-1)*(t\/((t\/(t\/(t**(-1\/3)\/t)))\/t))**48)\/((t\/(t**(4\/11)*t*t*t))\/t*t**(-11))**34 assuming t is positive.\nAnswer: t**(14275\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 5*g**4\/24 + 9*g**3\/2 - 20*g**2 + 27*g. Let h(s) be the first derivative of x(s). Find the first derivative of h(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29746901, 59493801, 89240701, 118987601, 148734501?\nAnswer: 178481401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -24, -22, -8, 24, 80, 166?\n\"Answer: o**3 - 3*o**2 - 2*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4905 (base 15) to base 2\nAnswer: 11110010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(30\/11)\/((y*y\/(y*(y*y*y\/(y**(-5\/4)*y))\/y)*y*y*y)\/(y\/((y\/y**(-1))\/y*y*y))) assuming y is positive.\nAnswer: y**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2661 + -0.2034. Let j = 0.46 + n. Round j to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6664*s**5 - 4282*s**5 - 4631*s**5 + 0 + s**5 + 0 + (-3 + 3 + s**3)*(2*s - 2*s - 2*s**2) + 3*s**3 - s**5 - 3*s**3.\nAnswer: -2251*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.183 + -0.183. Let v = -75.0000085 + u. Round v to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -54*f - 1830. Let m be q(-34). Let n(l) = -2*l + 28. Calculate n(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/67 (b) -8\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 438123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*y + 8. Is 3\/13 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:05 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000978887946 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**4\/8 - 8*k**3\/3 + 6*k**2. Let l be s(6). Suppose 0 = -l*o + 3*o. Solve o*b - 3*b = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10*n)**40)**18 assuming n is positive.\nAnswer: n**7920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t**2 + 1. Let k be r(2). Suppose -k = 3*a + x - 0, -18 = 2*a + 5*x. Let d(l) = 6*l**3 - 2*l**2 + 2*l - 1. What is the units digit of d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71298.96 rounded to the nearest one hundred?\nAnswer: -71300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0298 - 124.0298. Let v = 47.4 + g. Round v to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {c: 7, b: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*d - 196 = -7*g, 2*d - 8 = 0. Suppose -6501 = -41*u + 1002. Calculate the remainder when u is divided by g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.02, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**3 - 76210*i + 2617684.\nAnswer: 9*i**2 - 76210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from mrmlymmr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(60)*3 + sqrt(720)\/(sqrt(12)*-1))\/((sqrt(2352) - 2*sqrt(2352))\/((sqrt(8)\/sqrt(2) + sqrt(4))*-4)).\nAnswer: 88*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2443213, -4886555, -7329897?\n\"Answer: -2443342*x + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 2, c: 8}. What is prob of sequence vv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2270?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 6:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7929 is divided by 1321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -11\/3*x**3 + 0*x - 16*x**2 - 15. What is the second derivative of y(r) wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003931865 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:42 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3007 and 161510.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a)*(1196*a**2 + 455914 - 455914) + (2 + 3 - 7)*(-4 + 3 - 1)*(-3*a**3 + a - a).\nAnswer: 2380*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 5278 + 10633 - 5330.\nAnswer: 7*p + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649823 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1568, -1548, -1576, -1676, -1872?\n\"Answer: -4*x**3 + 48*x - 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222998285 to the power of 1\/3, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74867?\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -126*q**3 - 215 wrt q?\nAnswer: -378*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -2\nAnswer: 153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + 7\/5. Let x = 0.01 + -3.01. Let f = -0.5 + 0.1. Which is the closest to q? (a) x (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/11 - 301584*o\/11 - 11369113632\/11 = 0?\nAnswer: -75396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t + 1. Let z(j) be the third derivative of 1\/12*j**6 - 1\/60*j**5 + 0 + 5\/3*j**3 + 11\/24*j**4 + 0*j - 10*j**2. What is 22*u(g) - 2*z(g)?\nAnswer: 2*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/1439 and -24.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2211 - 2211.11. Which is smaller: -15 or j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**5\/60 + 3*k**3 - 5. Let m(z) be the third derivative of r(z). Let v(f) = 20*f**2. What is m(v(q))?\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8907.2 + -8907. Put 2, -4, -2, c, 0.332 in decreasing order.\nAnswer: 2, 0.332, c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.887124 rounded to 1 dp?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j**2 - 2*j - 2763. Let l(d) = -2*d. What is a(l(h))?\nAnswer: 80*h**2 + 4*h - 2763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11)*p**(-4\/5))\/(p*p**(-2\/5))**20)**20 assuming p is positive.\nAnswer: p**(-2776\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d - 7686 = 8948, -3*f = 4*d - 24940. What are the prime factors of f?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137308 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 - 336.11.\nAnswer: -293.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d**(1\/6))**38 assuming d is positive.\nAnswer: d**(361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/4, -7, 1\/19, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53503031 + 4?\nAnswer: -53503023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 441*c + 3544. Let x be q(-8). What is the greatest common factor of x and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n. Let m(x) = -12*x**2 + 64318*x. Give b(m(u)).\nAnswer: -120*u**2 + 643180*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 698 = -29*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 - 465308*w + 465304 = 0 for w.\nAnswer: 1, 116326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -29568*z + 295758. Determine q(10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(891) + sqrt(891) + sqrt(891) + -1 + sqrt(121)\/(4*sqrt(11))*-3)**2.\nAnswer: 105*sqrt(11) + 121339\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1d0 (base 15) to base 2\nAnswer: 110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 8*n + 3. Let l be o(6). Let t = l + 4. Let v(g) = -4*g. Let s(m) = m - 1. Let u(k) = -2*s(k) - v(k). Determine u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 + -151. Suppose -4*w = s - 681, 5*w - 2*w - i*s - 506 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 764552736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/1871, 0, -0.4, 2.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1914 + 218 = 3*n + 38. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. What are the prime factors of 0 - f - 0\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(5))\/(sqrt(135)\/sqrt(5)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/21 - 12*l**3\/7 - 162*l**2\/7 - 52*l. Let i(f) = 0. Calculate f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, q: 4, c: 7}. Give prob of picking 1 c, 1 q, and 2 m.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 1. Let n(d) = -d**2 + 5*d + 5. Let m be n(5). Let t(g) = -g - 3. Let w be t(-3). Suppose m*a - 10 = -w. Let b(f) = f - 3. Give a*p(s) - b(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2)\/(-6)*(-84)\/6. Let z = -0.48 + 0.08. Let v = 0.2 + -1.2. What is the second smallest value in j, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c - 0*c. Suppose -3*l - 31 = -5*z, 0*z = z - l - c. Let g = -2 + z. Let s(v) = -v + 2. Calculate s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 959 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 16) to base 4\nAnswer: -1020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:00 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.289 - 0.211. Let r = s - -43. Let z = -4.3 - -0.3. What is the nearest to -1\/3 in z, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose 5*t - k*t = o + 20, 4*t = -o + 22. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**4\/24 + 2*f**3\/3 + f**2. Let b be z(-4). Suppose 5*l = 4*y - 99, b*l = 4*y + l - 129. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 + 1\/3*n + 5\/9*n**2 + 1\/9*n**3 = 0. What is n?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -13*f - 4*p - 12, 0 = -3*f + 5*p + 22. Let g = 6.3 + -1.3. Which is the nearest to 0? (a) f (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 26 + 33)*(v + v - 5*v)*(-3*v + 23 - 6*v**2 + 24 - 48 + (-7*v + 2*v + 3*v)*(-3*v - 2*v + 3*v)).\nAnswer: -150*v**3 - 225*v**2 - 75*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/36 + (-643)\/(-18) and (-4 + (-7)\/(-3))*5\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 4. Suppose -4*n = -5*n - 4*h + 26, h = 5*n - 25. Suppose 19*s = 20*s - n. Determine o(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.978 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1634, -3307, -4980, -6653?\nAnswer: -8326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 21*r + 40. Let x(s) = s. Let g(u) = n(u) - 5*x(u). Does 9 divide g(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.094*-4.64.\nAnswer: 0.43616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + (-1340)\/1050 + (-4)\/(-28).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -694045 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 + -4. Let v = 49.2 - 49.6. What is the closest to v in 0.5, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - 8*b**2 + 5*b - 5. Let n(h) = 6*h**3 - 8*h**2 + 4*h - 4. Let j(p) = -5*n(p) + 4*x(p). Find the third derivative of j(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 337*d**5 - 667*d**5 - 7*d**2 + 340*d**5 + 2*d**3 - 2*d**3 - 2*d**5 + (-d**3 - d**2 + d**2)*(d + 2*d**2 - d).\nAnswer: 6*d**5 - 7*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -47. Let a = 0.1 + 2.9. Suppose -7 - 2 = 3*x. What is the smallest value in x, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - u = -14 - 10, -16 = -4*u. Let x be (2\/5)\/((-18)\/r). Let s = 0.02 + -0.32. Which is the second smallest value? (a) 1\/4 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2\/7)\/d*d)*d)\/d*d*d\/(d*d**3))\/(d**(-1\/2))**23*(d\/d**(1\/5))**(-8\/5)\/((d**(-6\/5)*d)\/d*(d*(d**3\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(3047\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3314*d - 7715. What are the prime factors of p(-12)?\nAnswer: 7, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:59 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142053560 a multiple of 6945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 51, 180, 433, 852, 1479?\n\"Answer: 7*t**3 - t**2 + t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4 and -42\/1049.\nAnswer: 4196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*24\/(-105)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5827 + 5829 + 1 + -62?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -17, 351.\nAnswer: -17, 61, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41347*p - 16524*p**2 + 41347*p.\nAnswer: -16524*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.17 (b) 0 (c) -1 (d) 0.5 (e) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195 + -144. What is the tens digit of (f\/(-21))\/(7\/(-49))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4 - 4*s + 5*s + 6 + 11. Let d be z(-10). Solve d*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 226150 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 3*h**2 - 10*h - 3 + 0. Suppose 0 = -3*i + 7*l - 2*l + 46, 4*i - l = 50. What is the units digit of b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 27*n - 74. Let w be x(3). Let r be ((-74)\/(-3) - 2)*9. Suppose -10*v = w*v - r. Solve 4*s + 12 = 4*t, -5*t = -s - t - v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = 2*o. Let k(c) = -3*c - c + o*c + 3. Let q be k(0). Solve -u - 4 = q*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/270 - a**4\/12 + 10*a**3\/27 + 21*a**2. Determine k, given that p(k) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395757 is divided by 17818?\nAnswer: 5953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5912 and 9496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/7 - 38992*q\/7 - 350766\/7 = 0. Calculate q.\nAnswer: -19487, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15679 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {i: 3, f: 2, d: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 32 = 2*x - 17, 5*x = -n - 3855396 + 3855370 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + 0 + 0 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-12)*(-9)\/(-90)*-12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 14. Let h = m + 29. What is the closest to -0.1 in -5, 2\/25, h?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3813 + 4205 = -28*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - 0*l. Solve -3*n - 10 = -l*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 47 + 88 = 0. Let x(y) = -y**3 + 12*y**2 - 8*y + 12. Let a be x(11). Let k = z + a. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 0*u**2 - u**2)*(0*u - 6*u - 3*u) + 33*u**2 - 9*u**3 + 25*u - 84*u**3 - 25*u + 45*u**3 as j + b*u + v*u**3 + k*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + ((-87)\/(-174))\/((-5)\/(-135)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1974 - 960 = 62*s - 2086. What is the remainder when 693 is divided by s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 2008*l - 13. Determine i(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 436a (base 12) to base 16\nAnswer: 1d02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1322456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*n**2 + 5*n**2 - 107*n**5 + 28*n**2 + 5*n wrt n?\nAnswer: -6420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -1\/70*c**7 + 0*c - 1\/24*c**4 + 1\/12*c**5 + 1\/120*c**6 - 1\/3*c**3 - 3*c**2 + 0. Determine t, given that u(t) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20 + -3 + 5)*-1. Let t = y - -23. Let r be 6\/(-40) - (-2)\/5. Which is greater: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10224, 1, -21, -1\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 - -196.22. Let j = x - -3.91. Let n = j - 0.13. Is n at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 92*r + 487. Calculate the remainder when d(-3) is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.112, -5, 0.3, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.3, 0.112, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (68 + -82 + 37).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12918.\nAnswer: 2, 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 457398712 a multiple of 4556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051205 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346546.6mm to meters.\nAnswer: 346.5466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 790 divide 1109373109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*j = 6*f - 8, 0 = -2*f - 2*j + 2. Let b(p) = -3*p - f - 3*p + p**2 + p. Calculate b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/14)\/(15\/210). Solve -2*q = 13*q + m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 t when four letters picked without replacement from {t: 2, f: 2, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3470 (base 14) in base 11?\nAnswer: -6936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 3*z + 2. Let k be b(3). Let s = k + 21. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122, -206, -240, -206, -86, 138?\n\"Answer: 3*k**3 + 7*k**2 - 126*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2342*g - 1173*g - 1173*g = -16, 2*g - 8 = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -13\/2*b**2 + 13\/6*b**3 - 240*b - 1\/12*b**4 + 0. Calculate k(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m**(-2\/21))**13\/((m*((((m\/(m\/(m*m*m**(5\/4)*m)))\/m)\/m)\/m)\/m)\/m**(-3\/2)*(m**(-2))**(1\/11)) assuming m is positive.\nAnswer: m**(-5701\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 + 486\/12 + 7. Suppose 225 = 16*s - o. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/8 + 133*m**3\/8 + 33*m**2\/2 = 0.\nAnswer: -132, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 14*x + 17*x + 21, -2*x - 29 = 3*k. Let y be -9*k\/((-243)\/(-6)). Solve 3*u + 9 - 39 = 5*f, -3*u = y*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27550)\/174)\/25*(-6)\/5*100\/10.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 92100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 434, 650, 866, 1082?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 63.02586 decades?\nAnswer: 630.2586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 + 26*j**3 + 7246*j**2 - 58554*j - 65772 = 0. What is j?\nAnswer: -58, -1, 9, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + z + 1. Let o(p) = 120*p**3 - 36*p**2 - 8*p - 8. Give -o(l) - 8*s(l).\nAnswer: -112*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*a + 104 - 919 + 100 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.3 - -1.3. Let p = 27 + s. Let r = 16.0000004 - p. Round r to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -2 - (5 - 9). Let l = -2 - -6. Suppose 4*v - 36 = l*w, -9 = v + p*w + 12. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1616\/(-96))\/(22\/24*356\/(-1958))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let j(i) = 3*i**2. Determine j(y(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 73*r + 558. What is l(-80)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/49)\/(4\/(-42)*6))\/1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10670\/43 or 2?\nAnswer: 10670\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(13 - 20*v - 13) + 11*v + 0*v + 37*v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cf + 3e2?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 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 the highest common divisor of 2860 and 2695?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 29. Let i be (1 - -7)*b\/(-6). What is the greatest common factor of 120 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 10*c**2 - 47*c - 304. Determine o(-5).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nndd when four letters picked without replacement from {n: 4, d: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 3*n + 1. Let l be r(-2). Let q(f) = f + 4 + l*f - 3*f - 3*f. Let a(h) = 2*h - 5. Suppose -4*t + 7*t = -12. Calculate t*q(c) - 3*a(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 10, -124, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18834 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5333.2172 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -512\/39547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z + 12. Let v(u) = -88*u - 80. Let m(d) = -20*j(d) - 3*v(d). Let s(q) = -q - 3. Let b be s(-4). Let c(i) = b + 4*i - 1. Determine m(c(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -2, -7 in decreasing order.\nAnswer: -2, -7, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6793 = -3596. Let p = h + -1869. Suppose -2*f + p = -5*z, 7*z - 2*z = 3*f - 2391. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/117 (c) -4 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 17 = -57*l + 60*l, 3*l = b - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h - 8*h**3 - 5*h - 12*h - 6*h + 37*h. Suppose -s - 2 = -3. Give n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-89)\/532 - (-12)\/42. Let g = z + -549\/304. What is the common denominator of 93\/10 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89\/4 + -23. Which is the nearest to -2? (a) o (b) -8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-three fifths of a microgram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 1. Suppose -3*h - 294 - 432 = 0. Let i = h + 274. What is the remainder when i is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-458)\/(-687))\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/7*(40\/(-3) + 160\/192 - -9)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 161 - 1258 = 2*o, 0 = y + 2*o - 217. What is the units digit of y\/9 + 1\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-24 - 12*r + 27 - 7) + (-2 + r - 2*r + 3)*(-2 - 1 + 1).\nAnswer: 14*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. List the prime factors of 6\/w*-12*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 16*n**3 - 7*n**2 + n - 2. What are the prime factors of r(3)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 6, l: 4}. What is prob of sequence lf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.335 + -65.8. Let o = m - -0.465. Is 41 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/100 - p**4\/60 + 12*p. Factor f(r).\nAnswer: -r**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179554 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*s + 210 = 0. Suppose 0 = -5*b + 4*u - s, 14 = -5*b - 4*u - 16. What is the units digit of b + 174\/30 - 1166\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104841 + -1362925\/13. Let 4\/13*r**2 + 8\/13*r**3 - 10\/13*r + 4\/13 - a*r**4 + 2\/13*r**5 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 9. Let r(o) = o**2 + 3*o + 1. Let g be r(-4). Suppose 0 = -g*t + 12*t - 35. Let p be u(t). Which is the nearest to 1? (a) 5 (b) -12 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.8 + -5. Let v = 2.4 - i. What is the third biggest value in -0.5, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 - 69*z**3\/2 + 282*z**2 - 730*z + 600.\nAnswer: (z - 60)*(z - 5)*(z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 740*l - 170. Let w(a) = a - 25. Let x(o) = -10*o - 72. Let b(m) = -3*w(m) + x(m). Calculate 340*b(i) + 6*j(i).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1848590*u**5 - 2*u**4 + 2*u**3 - 350993*u**2 - 4 wrt u?\nAnswer: 110915400*u**2 - 48*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 + 25*g**4 - 50*g**3 + 50*g**2 - 25*g + 5.\nAnswer: -5*(g - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -806 + 805.9. Which is the second biggest value? (a) 0.1 (b) k (c) -1\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(2*a**3 - 2*a**3 - 2*a**5) - a + a - 2*a**5.\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 6*c + 1 + 11*c - 16*c - c**2 to the form n*c + j*c**2 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16582? (a) -3 (b) -0.2 (c) -1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97931?\nAnswer: 97931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65412 is divided by 3352?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + -20)\/(-4) + -1. Which is the nearest to 0? (a) 4 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(14\/(-4)) - -6. Suppose l + 3*l - 3*u + 14 = 0, 4*l + 16 = w*u. Let r = 2869\/7 + -411. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 2*j**2 + 0*j**2. Let l(x) = x. What is l(q(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b - -14457?\nAnswer: 14339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243032340 + 4?\nAnswer: 243032344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -196. Solve -n - 5*r + 1 = -x*r, -3*n + 3*r = 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from ffgdsfffgfiffffd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2026*o - 2021*o. Calculate the lowest common multiple of o and 482.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95\/26 - 28\/13. Factor -a*k - 1\/2*k**4 + 1 - 1\/2*k**2 + 3\/2*k**3.\nAnswer: -(k - 2)*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4080, -8707, -13334, -17961, -22588?\nAnswer: -27215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114 or -801\/7?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a - 2. Let b(n) = 2*n**2 - 14*n + 4. Determine 3*b(j) + 7*p(j).\nAnswer: -j**2 + 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736745 is divided by 10996?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpcpec. What is prob of picking 1 c and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 6. Let h(l) = -l**3 + 3*l**2 + 4*l + 3. Let r(o) = -2*o - 2*o + o + o**2 + 4*o + 1. What is j*r(d) + 2*h(d)?\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 439260 divided by 1\nAnswer: 439260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3212*k**2. Let q(b) = 59*b. Calculate q(c(s)).\nAnswer: 189508*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 438872?\nAnswer: -438876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 63 = 1. Suppose 2*a - a + 9 = 0. Let v be 42 + -3*(-6)\/a. What is the highest common factor of s and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 3, b: 3}. Give prob of picking 1 b and 1 r.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from xitidzs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261 (base 8) in base 14?\nAnswer: 8a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347 + 367. Suppose -6 = -w + 5*y, t*y - 22*y = -w + 12. Which is smaller: 17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/15614 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343330 - 121?\nAnswer: 343204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30663 - 68710 + 34070)*(2*j**3 + 2*j + 2*j - 6*j) to s + g*j + o*j**3 + d*j**2 and give g.\nAnswer: 7954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2 - o**2 - o**3 - 22*o + 22*o. Let q be n(0). Suppose 3*l + q*l = 10. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**9\/504 - 37*f**5\/60 - 4*f**2. Find the third derivative of i(k) wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:58 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/120 - 7*l**3\/6 - 3*l**2\/2 - 18*l + 4. Let w(p) be the second derivative of i(p). Let f(r) = -167*r. What is w(f(j))?\nAnswer: 83667*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193*t**3 + 5*t**2 + 2?\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1779, -1732, -1685, -1638?\n\"Answer: 47*l - 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144902 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 8*r - 7 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 1:32 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 261.1053 decades?\nAnswer: 31332.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 3*s**5 + 8*s**5 - 5935*s**5 + 3*s**2 - 2*s**2 + 5968*s**5 + (3*s**3 - 2*s**3 + s**3)*(-3*s + 3*s - s**2).\nAnswer: 40*s**5 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 4*x + 44*x**4 - 2*x**3 - 43*x**4 - 2733 + 2760 as b*x**3 + p*x**4 + a*x + z*x**2 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -98\/55?\nAnswer: -98\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + 4*sqrt(7)*1 - ((sqrt(252)*-1 - sqrt(252)) + sqrt(252))*-4).\nAnswer: 1 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3\/2*h**2 + 3\/40*h**5 - 1\/2*h**4 + 5\/4*h**3 + 22*h + 0. Find o such that s(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 8:12 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 440776, -6\/5 in decreasing order.\nAnswer: 440776, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 11 = -9. Let m = q - -11. Let t(a) = -a**2 + 10*a - 12. Calculate t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 67, 50, 29, 4, -25, -58?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2971 + 2963.562. Let y = l - -0.038. Round y to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:18 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -4 (b) 1.9 (c) -2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 27 + 167. What is the lowest common multiple of o and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7 + 12 - 4*s**3 in the form t*s**2 + w*s + d*s**3 + i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143)*4)\/(sqrt(11) + (-3*sqrt(110))\/sqrt(10)))**2 + (-2*(-2 + -2*sqrt(117))*4)**2.\nAnswer: 1536*sqrt(13) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.1 + -64. Is 96 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 356 = 5*a. Let x = a + -39. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8722, 8723, 8716, 8695, 8654?\n\"Answer: -u**3 + 2*u**2 + 2*u + 8719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 23. Is (1 + 107)\/x + 4 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 4. Let k be p(11). Suppose 18*h - 54 = k*h. What is the greatest common factor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - g = -0*g - 217, -2*g + 90 = 2*i. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2357 - -2352. Let h(b) = b**2 + 6*b + 5. Let j be h(-4). Sort u, 1, 11, j in decreasing order.\nAnswer: 11, 1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 159*a - 13. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1 + (-3 + 1 + 0)*(1 - 4*u - 1))*(8*u**3 - 5*u + 5*u).\nAnswer: 80*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:08 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -156006877256718?\nAnswer: -156006877256714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*v - 1. Solve -9 = v*z + 5*i + 13, 5*z - i + 18 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -283, -61, -1\/6, 2, 5, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 0.1, -180 in descending order.\nAnswer: 4, 0.1, -0.2, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 14) to base 11.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 770 divided by 22\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 95 = 35. Suppose -2*p + c + 0 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*((-6)\/(-7))\/((-777)\/(-1813))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-6*-1*sqrt(1920))\/(-1*(sqrt(10)*-2 + sqrt(10)) - -6*sqrt(40)))**2.\nAnswer: 62208\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -10. Let t = 30 - 27. Let g be 1 + t + 14\/(-7). Solve n - o + g = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/1502 or -1?\nAnswer: -17\/1502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + (-12)\/(-54). What are the prime factors of (-11)\/(-1) - (3 + y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12629387 (base 10) to base 7.\nAnswer: -212230241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19908857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9535030 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1856 = -5*i + 2*x - 672, 0 = -3*x + 9. Suppose 4*o - 56 = 4*n - 5*n, 2*o = -4*n + i. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.02824 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**3 + k**2 - 6. Let a be s(3). Let y be a\/7 + 8\/28. What is the highest common divisor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*k + 35 = -868*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1374026 or 1?\nAnswer: 5\/1374026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 8*j**4 - 1 - 22*j**4 + 2*j**2 + 11*j**4 as g*j**2 + y + f*j**4 + z*j + n*j**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 6*n**2 + 3*n + 6*n**3 + 3*n**4 + 3\/5*n**5 - 4. Suppose h(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 46*o + 497. Suppose 3*r - 3*z = 177, -642*r + 640*r + z = -114. What is h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g + 6*g - 4*g)*(2 - 8 + 1) - g + 3 - 4 + 3 as k*g + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -1 + (-1*sqrt(176))**2 + 3 + 0 + -4 + -3.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y - 1. Let l(k) = -64*k + 1 - 73*k + 208*k - 72*k. Suppose 7 = 2*o - 5*w, 5*o = 2*w - 0*w + 7. Determine o*l(m) + s(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o**3 + 0 - 1\/120*o**5 + 27*o**2 + 0*o + 1\/12*o**4. Solve b(x) = 0 for x.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**5\/(o**(2\/3)\/o*o**(-1\/5)) assuming o is positive.\nAnswer: o**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3331469 is divided by 1669.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - (-699996)\/14. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1966857 (base 11) to base 7.\nAnswer: 40126061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3 + 2*o**3 - 2*o**2 - o + 0*o**2 - 2*o. Let z(n) = -22*n + 60*n - 23*n - 17*n. Let a be z(-1). Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/36 and 67\/35505.\nAnswer: 142020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**2 - w - 4. Let k(r) = -4*r**2 + 1. Let v be 9*2*2\/(-12). Let h = 9 + v. Let s(c) = h*z(c) + 22*k(c). Factor s(j).\nAnswer: 2*(j - 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9250 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*y + 10 = 3, 2*a - 4*y = -6. Suppose g + 3 = a. Let u be -3 - (g - 0) - -6. Solve 2*n = 5*j + 31, -3*j - 5 = u*n + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 - 2*g + 2. Let y be z(-2). Let b(h) = -h**2 + 0*h + 0*h - y*h**2. Let r(d) = d**2 + 0*d**2 + 0*d**2. Give r(b(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29317 = -2*n + 5*n + w, 4*w = -8. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/3 + 7*t**3\/3 - 7*t**2\/3 - 5*t = 0. What is t?\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 34*a. Let g be o(-1). Let i = -17 - g. Solve -i = 4*d + f - 2, -5 = 4*d + 3*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*d + 36859 + 17277. What is the highest common divisor of d and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 310*u - 10850. Give f(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/2 (b) -3 (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17 + 64*n + 6*n - 2 + 174*n + 2. List the prime factors of g(3).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2128*u + 4*c = 2131*u - 33, -5*u = 5*c - 55 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223052 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80664982 = 5*i + 97835273. Let s be i\/(-17) + (-4 - -1). Round s to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from dkibibikbbbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5257*j - 5257*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2 - 2*n - 1. Let x(u) = 6*u**2 - 2*u + 7. Let v(s) = -s**2 - s. Let l(b) = -5*v(b) - x(b). Let r be l(5). Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 9991*q = -9987*q + 12, 0 = -3*p - q + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2. Let t(a) be the third derivative of -29*a**5\/20 - a**3\/6 - 3179*a**2. Calculate u(t(d)).\nAnswer: -30276*d**4 - 696*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*g**3 - 35*g**3 - 42*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 + 8 - (3 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*m**5 - 5206*m**4 - 137662*m**3 + 410722*m**2 + 5902806*m - 13658652 = 0. What is m?\nAnswer: -623, -29, -7, 9\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + -61. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4 (c) -31 (d) -2813 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 170\/90 + (105\/(-27) - -4). What is the second smallest value in 0.1, 4\/3, g?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 44 = w, 50*w - 4*r - 40 = 52*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + q + 7834 = 0, -s - 4*q = -5197 - 2662. What are the prime factors of s?\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x + 67095 = -42489. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.337 - -0.163. Let v = -52 + j. Let i = 0 - -0.5. Sort i, v, 0.4.\nAnswer: v, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**6\/180 - r**4\/12 - r**3\/3 + 2. Let o(y) be the third derivative of q(y). Let o(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x + 226. Let w be h(18). Let m(j) = -2*j - 8. Let k(v) = -1. Let a(b) = 10*k(b) - m(b). Give a(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/5 or 0.1145335?\nAnswer: 0.1145335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:56 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -585.105683 - -527.1056724. Let s = g + 58. What is s rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 1, u: 7, h: 1, o: 2, y: 2}. What is prob of picking 1 v, 1 u, and 1 d?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120737 (base 10) in base 8?\nAnswer: 17560241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y + 5. Let m(s) = 209*s - 66. What is -66*g(x) - 5*m(x)?\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -351*s. Let c(m) = 16*m. What is 65*c(w) + 3*x(w)?\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -6*v**6 - v**3\/3 - 5*v**2\/2 + 46. What is the third derivative of z(f) wrt f?\nAnswer: -2160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000292415377 rounded to 7 dps?\nAnswer: 0.0000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 14*j**2 + 21. Let w be c(14). Suppose -4*b + 8 = -0*b. Suppose -3*f = -3, w = a + 3*f + b*f. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 17*c**7\/42 + 5*c**4\/12 + 23*c + 28. Let l(a) be the first derivative of v(a). What is the third derivative of l(m) wrt m?\nAnswer: 1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57322\/51 - 1124. Let l = y - -7\/34. Let z be (-2)\/((-10)\/2*-2). Put z, -3\/7, l in ascending order.\nAnswer: -3\/7, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 19*l**2 + 2623*l - 22072. What is x(8)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.7 - -0.7. Let c = k + 13.2. Let m = c - 22.4. What is m rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*l - 81*l - 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-30)\/(-5)) + -14 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2. Let f(h) = -2*h**2 - 1180. Give v(f(g)).\nAnswer: 12*g**4 + 14160*g**2 + 4177200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/90)\/((-15)\/18). What is the closest to x in 6\/11, 0, 6\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.1, -3\/4, 6, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdvv when four letters picked without replacement from {d: 5, v: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 8*o**2 - 50*o - 127. What is l(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 11) in base 7?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-1)\/(10\/60*2))*744\/(-32)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10202680 and 16300895.\nAnswer: 6098215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 4*y**2 + 20*y - 11. Let s be v(4). Let u = -25\/126 + -1\/42. What is the closest to 3 in s, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 + 51\/36. Let y = 7 - 7.3. What is the second smallest value in m, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96194?\nAnswer: 2, 7, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/707)\/(2\/(-28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(171) + sqrt(171) + 6*(sqrt(171)*-2 + sqrt(171)) + sqrt(171)))\/(((sqrt(144)*-2 + sqrt(144))\/sqrt(8))\/sqrt(2)))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + a = -10, 0 = 3*i - 0*a - 4*a - 34. Suppose -j = -o + i*o - 180, 5*o + 3*j - 190 = 0. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let z(h) = -6*h**2 + 9*h + 2. Let o be z(2). Sort q, o, 2.\nAnswer: o, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 61 + 226. What is the remainder when 22 is divided by (-286)\/y*(-3)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*v**2 - 98*v**2 - 46*v**2 - 12*v**2 in the form p + a*v**2 + s*v and give a.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/612 and 19\/2142.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/9*(2 - -1)*59 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -237\/302?\nAnswer: -237\/302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 322*a**3 + 3*a**2 - 90*a - 93. Calculate s(-1).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 - -6?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e713 (base 16) in base 4?\nAnswer: 21332130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c3 + 15?\nAnswer: 3d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 841*v**3 + 885*v**3 - 2*v to a*v + t + d*v**3 + i*v**2 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3, 4*w - 2*w + 5*d = -25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121 (base 3) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + (sqrt(330) - 5*sqrt(330)*3) + sqrt(330))\/(sqrt(66)\/(sqrt(24)\/sqrt(4))))\/((-5*sqrt(90)*1)\/(sqrt(225)*2 - sqrt(225))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (859\/12)\/(36\/432)?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2975068, -1, -4, 3 in descending order.\nAnswer: 2975068, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 + 63 - (-9 + (1 - -5))) + 25 - 78?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132.9 - -138.59. Let r = h - 0.79. Let k = 4.9 - r. Is k at least -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803111 >= 5803125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3000 + 26998\/9. Which is the nearest to -2\/5? (a) l (b) 1 (c) 61\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41355384 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 20.408\nAnswer: -8.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13 and (104\/(-32))\/(3\/14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-27 + (-58 - -34))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*f - 526725 = 0, 33460 - 209048 = -r + 5*f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 223?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 22824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = 4*v + 2*p, -5*p - 20 = 0. Suppose v*o + 18109 = 5*o - 3*z, 4*o - 3*z = 72409. What is o rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -25*b**4 + 16652180*b**3 + 13321765*b**2 - 3330440*b = 0.\nAnswer: -1, 0, 1\/5, 666088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -158, -330, -512, -710, -930, -1178, -1460, -1782?\n\"Answer: -n**3 + n**2 - 168*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2. Let u(n) = 18402637 + 76*n - 18402637. Determine g(u(d)).\nAnswer: 46208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from ejeezbeeezejjjbe.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from oydoooroooyyooyro.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17280\/(-2160) + 13\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7399359 and 930.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314264\/9 - 1045\/285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-70) - 18\/(-40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 3*n**5\/20 + n**4\/12 - 178*n. Suppose 0 = 3*d + 2 + 4. Let c = d + 3. Calculate f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(17 - 15*c - 17) - c + 4*c - c - 581 + 581 + 299*c to o + u*c and give u.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*a - a. Let v(f) = -12*f**2 - 3*f + 3. Let l(w) = -13*w**2 - 4*w + 1. Let u(q) = 5*l(q) - 6*v(q). Is u(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462.3 + -0.4?\nAnswer: -462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400641.2 rounded to the nearest one hundred?\nAnswer: 400600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, 5, -2, 28, 0.\nAnswer: -229, -2, 0, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f*f\/(f\/f**1))\/((f\/f**(-1\/5))\/f*(f**(2\/19)*f*f)\/f*f) assuming f is positive.\nAnswer: f**(351\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5692869l in millilitres?\nAnswer: 569.2869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = -3*b + 1, -2*b = -4*h + 60. Suppose -2 = -j + 2*z - 1, 0 = -3*j + z + h. Solve -2*k = 10, 0*l + j*k + 19 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.62 rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a second in milliseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = 3*l - 0*l. What is the common denominator of 41\/4 and (-1 + 2)*l\/60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*k + 89178 = 88986 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 209*s - 21058 = 70*s - 7240 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892 divided by 2?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 6608.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 5. Suppose 0*y = -2*y - 14. Does 10 divide (y - s)*15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025346701 to 5 decimal places.\nAnswer: -0.02535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/6 (c) 0.14 (d) 2\/9 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333805 by 3305.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136235\/24 + -34025\/6. Factor -21\/8*r**3 + k*r**2 + 3\/2 - 39\/8*r + 3\/8*r**4.\nAnswer: 3*(r - 4)*(r - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1360.9 to the nearest 10.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1062 = -2430. What is the greatest common factor of 72 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205676908.\nAnswer: 2, 301419227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.12 (c) -0.21 (d) 22.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8675*i + 30 = 8669*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-9)*5\/(-40)*1)\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = 3*l, -4*c + 9*c + 3*l - 10 = 0. Suppose -4*i + c*i - 5*p = 5, -32 = -4*i + 4*p. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 14*u + 3. Let n be i(7). Suppose -d + 5 - 4 = -3*m, -n*d + 8 = -4*m. Solve -5*t + 4*r + d = 0, -t - 2*t + 24 = 3*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323680 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**3\/4 + 6*b**2 + 19*b\/4 - 3.\nAnswer: -(b - 4)*(b + 1)*(7*b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -1 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdd when three letters picked without replacement from ddxdxpddpxx?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306*n**3 - 594*n**2 wrt n.\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -45*d - 9. What is g(-2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 6*h**2 + 3*h - 8. Let i be r(-5). What is the third derivative of 23*l**i + 5*l**3 + 2*l**5 + l - 18 - l - 24*l**2 wrt l?\nAnswer: 120*l**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - w + 3 = -12*k, 3*k - 2*w = 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*q - 17*q + 736*q**2 - 15*q + 1482*q**2 - 14*q as s*q + y + c*q**2 and give c.\nAnswer: 2218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddmdddddmddmddddd.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 - (-2680)\/(-50). Let w be (-4859991)\/p - 1\/(-6). Round w to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*q - 126, q - 324 = 2*r - 7*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, 30, -4, 9 in descending order.\nAnswer: 30, 9, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6597 or -1\/3?\nAnswer: 6597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = 2458*b - 2459*b. What are the prime factors of b?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1591*p + 1730. Let m(h) = -1595*h + 1736. Let z(f) = 6*m(f) - 7*s(f). Differentiate z(d) wrt d.\nAnswer: 1567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g - 46*g - 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 7*z + 11. Let y be b(-10). Let k(s) = -2*s - 15. What is the remainder when k(y) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 4 - -1 - (-230 - -226)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/1364*(-8)\/(-56))\/(-4*(-3)\/(-48))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 3*w - 11. Suppose -10 = 2*q + 2*v, -5*q + 1 = -5*v - 24. Suppose -10 = -q*g + 2*g. Is s(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 195 = -5*y, -5*w = 5*y - 185. Suppose -3*t + y - 33 = 0. Solve -2*v - 4*j + 10 = t*v, 5*v - j + 15 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16468, -16526, -16638, -16816, -17072, -17418, -17866, -18428?\n\"Answer: -2*r**3 - 15*r**2 + r - 16452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10374 and 1015287?\nAnswer: 38580906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*10\/4*(-48)\/(-2040)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 0 - 1\/2*h**3 - 21\/2*h.\nAnswer: -h*(h - 7)*(h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:31 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -23*k - 32. What is the second smallest value in -0.5, 1, 0.03, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2598*p - 2599*p + u - 19 = 0, 39 = -3*p - 3*u for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 21 (c) -8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 389*f - 396*f + 119. What is the highest common divisor of 289 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*c - 1. Suppose 4*d - 1 - 23 = 0. What is the least common multiple of c and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -580 - -4641\/8. Which is the second smallest value? (a) u (b) 0.4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467 - 307. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 + 4*l**3 + 3*l**3 - l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43.00013 centimeters?\nAnswer: 430001.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578 + 1569 + 2958 = -77*f + 484 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z + 0 - 155*z**2 + 1\/6*z**3 + 1\/24*z**4. Let b(h) = -7*h**3 + 21*h + 21. Give b(q) - 21*m(q).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 3*p)*(p**4 - p**2 + p**2) + 0*p - 2*p**5 + 0*p + (-2 + 3 - 3)*(p**5 - 5*p**5 + 5*p**5).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 9*i = 4*f - 498, -3*f = -2*i - 382. Let c = 305 + -428. Let d = f + c. Solve d = -4*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 2*i + 96 + 97 = 163, -3*g = 3*i + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*j**4 - 81*j**2 - 1 wrt j?\nAnswer: -4584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -14\/15*k**5 + 4\/15*k**6 + 0 - 2\/63*k**7 - 26*k + 16\/9*k**4 + 4\/3*k**2 - 2*k**3. Factor d(c).\nAnswer: -4*(c - 2)*(c - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let t(h) = -19*h + 41*h - 12*h. What is v(t(i))?\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 3. Let r(l) = -3*l - 4. Let g(q) = 3*r(q) + 4*v(q). What is g(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291 - -291. Which is greater: -10\/41 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m = 133*m - 300 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + y**2 + (-4 + 4 - 5)*(0 + 0 - 3*y)*(-3*y + y + 0*y).\nAnswer: -29*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2. Let u(j) be the first derivative of -17*j**2 - 433. What is k(u(s))?\nAnswer: 10404*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-1) + -2 + 0. Suppose 3*w = -w + 16. What is the highest common divisor of s and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*l = 262*l + 73258500. Round l to the nearest 10000.\nAnswer: 3490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 130120112232320?\nAnswer: 130120112232311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -434, -984, -1754, -2744, -3954, -5384?\nAnswer: -7034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852, -1679, -2510, -3345, -4184, -5027, -5874?\nAnswer: -6725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295290 or 295286?\nAnswer: 295286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77780485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(272) - (sqrt(272) + (sqrt(272) + 1)**2)) - (sqrt(272) + -2)**2*1 - (-4*sqrt(272)*-1 - (-1 + (sqrt(272) - -2*sqrt(272))))**2)*-2 + -3.\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3906 and 888708.\nAnswer: 18662868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668901 = 24*k - 668733 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*m - 2*m + 232, 0 = m + 1. Suppose -4*k + 48 = 3*y, -2*y + 5*k + g = 3*y. Solve y = 5*u - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5065 + 5697. Calculate the remainder when z is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 1:10 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 200355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 8*g**3 + 24*g - 24*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*q**2*w**3 + 16*h*q**2*w**2 + 3*h*q**2 + 24*h*w + 45*q*w**4 wrt w?\nAnswer: 6*h*q**2 + 1080*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 382\/873 - -2\/291. What is the second biggest value in -13, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.07197297 rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 0 + 3\/4*q**5 + 3*q**4 + 0*q + 9\/4*q**3 + 0*q**2 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:44 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(-12)*(-2)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1970*r**3*y - 8*r**2*y + r*y - 87313*y wrt r?\nAnswer: 5910*r**2*y - 16*r*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = 5*f + 4*b, 4*f + 10*b - 756 = 7*b. What is the common denominator of -1\/10 and f\/(-60) - (-10)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -114\/101 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30110223123 (base 4) to base 8.\nAnswer: -14245333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1737 - -3355. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 h when three letters picked without replacement from {s: 7, h: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7 and -41\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -12*b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2469845 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from {s: 2, e: 1, i: 1, b: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + (sqrt(637) - (5*(-2 + sqrt(637)))**2))*6.\nAnswer: -96120 + 4242*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 - (-336)\/35. Calculate the remainder when j\/(-8)*(-22 + -6) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = y - 3*y - 8, -2*y + 2*f - 2 = 0. What is o in -16*o - 2*o**2 + 4*o**2 - o**y + 17*o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 14 = 18*c. Let u = c + 19. Suppose -5*x + u = 5*r, 5*x + 17 + 10 = 3*r. Solve 3*w - 7 = 3*k + 2, 33 = -r*w - 5*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1213021 + -130322?\nAnswer: -1343343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 2*p**2 + 59*p + 35. Let n be i(-14). Solve t + 4*t + 3*b = 8, 3*t = n*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 7. Let b be x(9). Suppose n = -0 + b. Suppose 0*z + 2*z + 8 = 2*c, 4*c = n*z + 8. Which is smaller: 0.07 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((-1248)\/160).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 29 - 19. Is -2\/3 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**(1\/4))\/f)**(-43)\/(f\/f**(-2)*f*f*f*f*f**(-4)))\/((f\/(f\/(f\/(f**1\/f))))**(1\/9)*(f**(1\/2)*f*f)\/(f\/((f**(-4\/7)\/f)\/f))) assuming f is positive.\nAnswer: f**(-19477\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(2*sqrt(7) + -4) - -2*sqrt(448)*1)*5.\nAnswer: -600*sqrt(7) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4\/7 (c) -1.218 (d) 13 (e) 8\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(3*1\/(-12)). Suppose 0 = 5*m + g*v + 41, -m - 5*v - 13 = -3*v. Let z = -3 - 1. Is z less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22776.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 - 528 = -17*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174215.\nAnswer: 5, 34843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 91 = 3*w, -3*w - 4*c - 56 = -5*w. Let i(j) = -3*j**2 - 5*j - 4. Let y be i(-3). Let k = y + w. What is the highest common divisor of k and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + sqrt(160)\/sqrt(4)*4)\/(2*sqrt(288)) - (1 + (sqrt(605) - ((sqrt(605) + -3)*4 - sqrt(605)))**2)) + -3.\nAnswer: -2568 + 6341*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.7. Let u = g + 0.2. Let m = 0.3 + -0.1. Is u less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -0.4, 2 in descending order.\nAnswer: 41, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198859 + 2*z**2 - 2*z - 198859 + 2*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34d8 + 4?\nAnswer: 34dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -4*o**3\/3 + 2*o**2 - 6*o + 1. Let f be u(3). Calculate the common denominator of ((-135)\/100)\/((-4)\/f) and 49\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + b)*(-4 - 3 + 5) + b - b + b + 3*b + 3 - 3 + (45 + 47 - 104)*(0*b + b + 0*b) in the form m + n*b and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -3155 and 891618398.\nAnswer: 891615243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-22370190.\nAnswer: -156591330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*r + 5*f - 6 = 151*r, -3*f = -3*r - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/10*8\/1. Let r = x + -3. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4488 divided by 6\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 3}. Give prob of sequence rr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 18238 = 14702. Calculate the remainder when p is divided by 173.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5775 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7525 and 36937.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8507519.\nAnswer: 479, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4246)\/10 + (0 - 4). Let z = c - -431. Find q, given that z*q - 6\/5 - 6\/5*q**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102000102 (base 3) to base 16\nAnswer: -1f5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euok when four letters picked without replacement from {e: 3, u: 4, o: 1, f: 2, k: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 4*g**2 + 1. Let n be f(-4). Let l(a) = -3*a**2 + a**2 + 2*a + n + 4*a**2. Is 2 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)*y*y*y*y)**16*y*(y*y**4*y*y)\/y*y\/(y\/y**(-2\/9)) assuming y is positive.\nAnswer: y**(2897\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 7. Let v be p(5). Suppose 5*q = -4*f - 9, -199 = f - 2*q - 200. Let x = 34 - 39. Put 0, x, v, f in increasing order.\nAnswer: v, x, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*r + 5*w + 42 = 350*r - 18, 3*w + 44 = -4*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 25*d**4 + 65*d**3 + 32*d**2 + 4*d = 0.\nAnswer: -2, -2\/5, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 212\/(-159)*3\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239985607 + 0.026?\nAnswer: -239985606.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-165)\/45)\/(-11) + -3. Let f = 0.2 + -0.3. Which is the nearest to -4? (a) 3 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46226 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/300 + 133*d**4\/60 - 17689*d**3\/30 + 2*d**2 + 169. Solve c(l) = 0 for l.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*(-2)\/30 - 75\/(-9). Suppose -16*c + d*c = -70. Solve -2*x + 4*x - c = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 23 = -d + 2106, -8314 = -4*d - 5*w. What are the prime factors of d?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -676*m - 60. What are the prime factors of k(-1)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 9. Let p be (-8)\/3 + (-1)\/g. Let u(l) = l**2 + 15*l + 52. Let b be u(-7). Put 1, b, p in ascending order.\nAnswer: b, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 20, 40, 70, 110, 160?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10 + 15. Suppose -3*r = q*v - 11, 4*v - 11 = -2*r - 3. Calculate the remainder when ((-4)\/6)\/(4\/(-18)) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022 (base 4) in base 2?\nAnswer: -10001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 123?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -103228474 to the nearest one million.\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let q(z) = -z + 1. Let b(p) = 2*i(p) - 3*q(p). Calculate b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from eiid.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 55 + 0*l + 0*l**2 - 1\/5*l**5 - 1\/18*l**6 + 1\/3*l**3 + 1\/12*l**4. Determine k, given that c(k) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -11\/346 (b) -1\/7 (c) 0.8 (d) -37 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 less than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q = 45*q + 1816. Let i = q - -223. Put 9, -5, i, 2 in descending order.\nAnswer: 9, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**5 + 89793178*i**2 + 359835570*i wrt i?\nAnswer: -20*i**3 + 179586356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2491 + -2232. Solve -a = -x - 252 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 29 - 199*f**3 - 27 - 47*f**3 + (-4*f + 3*f - f)*(-f**2 + 1 - 1).\nAnswer: -244*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4270946 by 5.\nAnswer: -4270946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (44 + -74)) + 6 + 4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -16, -20*m = -w - 11*m + 6209. List the prime factors of w.\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, -4, -3, 8 in ascending order.\nAnswer: -4, -3, 1, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 54*d - 10 + 1)*(-6*d + 5 - 5) + 2*d**2 + 1 - 1 to h*d + r*d**2 + j and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 342605544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**4\/3 + 68845*a**3\/6 - 42995*a**2\/3 - 120445*a\/6 + 5735 = 0 for a.\nAnswer: -1, 1\/4, 2, 3441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -21*x + 128. Solve -4*f + x = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -877\/16 or -56?\nAnswer: -877\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:38 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 54 + 52)*((-q + 2*q + q)*(-2 - 1 + 1) + 1 - 1 - 2*q) + q - 3*q + 3*q.\nAnswer: -341*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/207)\/(8\/(-9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 526186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 2*s**3 - 4*s**3 + (0 + 0 - s**2)*(0*s + 2*s - 3*s) - s**3 + 2*s**3 + 0*s**3 - 1 - 2*s**3 + 1 + 8 + 70*s**3 + 7554744*s**2 - 7554744*s**2.\nAnswer: 69*s**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.53 + -0.53. Let w = 5.189 - -0.111. Let o = 5 - w. What is the nearest to 1 in o, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.74132 * -16\nAnswer: -27.86112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 4, b: 2, n: 1}. What is prob of sequence kwk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938272.\nAnswer: 2, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975762 and 510078?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -351 < -351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-5)*(29 - (-2898)\/(-92))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -0.05. Let w = -0.25 + b. What is the nearest to 1\/2 in 4, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from {a: 9, z: 6, g: 2}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 51001 + 49341 = 0. Calculate the remainder when 7466 is divided by k.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 450 (b) -22\/5 (c) -0.3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 52212132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*h**2 + 7028*h - 766 - 46*h**2 - 2042 + 74*h**2.\nAnswer: -4*(h - 351)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11*(-7 - -8) + 12. Let o = 3 - 4. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 8*z - 35*z**2 + 15*z**2.\nAnswer: -9*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 87952.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 523 + -243. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 14. Let h(s) = 3*s. What is the remainder when h(10) is divided by g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/32)\/1*1\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let h(j) = 1939*j + 1662. Let x(m) = -h(m) + 1662*v(m). Let k(r) = 0 - 1880576*r**2 + 0 + 1880577*r**2. Calculate x(k(q)).\nAnswer: -277*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) - ((-648)\/(-30) - 23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 74*q**2 - 2*q - 7*q + 2.\nAnswer: -74*q**2 - 8*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.027 + -3.727. Let l = g - -4. Which is the second smallest value? (a) 2 (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**3)*v*v*v*v\/v**(3\/2)*v)\/(v*v*v**(2\/3))**(-1))**(2\/3))**(-42) assuming v is positive.\nAnswer: v**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/4 and -107\/130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/671 and ((-18)\/(-14)*-1 - -1)*(-945)\/(-2562).\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 194, -3, 4, 3, -2 in descending order.\nAnswer: 194, 13, 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.003, 2\/9, 5, 1, -2\/11 in descending order.\nAnswer: 5, 1, 2\/9, 0.003, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6c2cc (base 16) to base 8\nAnswer: -1541314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 221967?\nAnswer: 665901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4615.7\nAnswer: 23078.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136\/3 + 1\/3*s**2 - 137\/3*s.\nAnswer: (s - 136)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 12*p**2 + 28*p - 3. Let z be c(14). Let w(k) = 22*k + 5. Let a be w(z). Let n = -58 - a. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91074?\nAnswer: 2, 3, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.13452\nAnswer: -0.6726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:02 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1748054.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (24\/20)\/((-36)\/(-2250))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5.44. Let b = n - -0.401. What is b rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (-1 + -7)) - 9 - 23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(704) + -3 - sqrt(704))*-3 + -4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.8904 rounded to one dp?\nAnswer: 405.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 520 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72599, 72579, 72569, 72575, 72603, 72659, 72749, 72879?\n\"Answer: o**3 - o**2 - 24*o + 72623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i + 9. Let l(u) = -32*u - 63. Let s be l(-24). Is s - i*(-2 + 1)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 5 + 10*f + 2. Let m be 3\/(-9*(-1)\/12). Is r(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4530 divided by 1510\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 6:43 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 355\/13 - 32465\/1196. Let f = -2\/23 - p. Which is the second biggest value? (a) -0.1 (b) 6\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165*15643\nAnswer: -2581095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -882\nAnswer: -2\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3\/4 - 6*d**2 - 111*d\/4 + 33 = 0.\nAnswer: -4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-28)\/(-16) - -3)*(-83 + 51 - 46)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -23\/15*x**6 + 0 + 121*x + 27\/2*x**2 + 0*x**3 + 0*x**4 + 0*x**5. Find the first derivative of y(k) wrt k.\nAnswer: -184*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:09 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414438 is divided by 613?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*l = 40. Calculate the highest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**3\/3 + 406. Let j(q) = 3*q. Let w(o) = 2*o. Suppose 0 = 7*p - 51 + 16. Let b(v) = p*j(v) - 4*w(v). Calculate b(g(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*d + d + 40, 5*z + 3*d = 86. Suppose 0 = -2*r + z - 0. What is the lowest common multiple of 18 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1017121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3623 + -3608.21. Let s = q + 0.21. Let p = 14.9989 - s. What is p rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, -5, 113, -3, 1, 2\/13 in decreasing order.\nAnswer: 113, 1, 2\/13, -2.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38524095 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4241713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2 + 2984*a + 2986 = 0.\nAnswer: -1, 1493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 1:02 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-5 + 2 + 1)*(109*g - 109*g + 129*g**2).\nAnswer: -258*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -751607126.1?\nAnswer: -751607122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - (34 - -7)) + 3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1591 by -1.\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5338843155.1906 + 0.1.\nAnswer: 5338843155.2906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137029*m**2*x**3 + 28063*m**2 with respect to x.\nAnswer: 411087*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 = 2*n + 2*b, 2*n + 5*b - 13 = 0. What is the second smallest value in 4\/3, n, 41?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 1. Calculate the remainder when 24 is divided by s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 12:59 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195575603 and 41063.\nAnswer: 3733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 243 = -j. What is the derivative of 13*h + 39 + 28*h - j*h wrt h?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2703, 5401, 8089, 10761, 13411, 16033?\nAnswer: 18621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**3 - 3*p**2 + 4*p - 2. Suppose 0 = 2*d + 7*k + 39 - 2, -4*d - 14 = 2*k. Let m(l) = l**3 + l. Give d*v(u) + 5*m(u).\nAnswer: -u**3 + 3*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41091 = 409*x + 85672 for x.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09304396 at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 55 = 5*r, -3*r + 8 = 5*m + 15. Suppose 12 = -4*x - 2*o - 2*o, -2*o = r. Solve -5*c - g = -x*c - 13, -3*g = c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 477*a**2 + 12*a + 1908.\nAnswer: -3*(a - 2)*(a + 2)*(a + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 535*a + 530 = 0 for a.\nAnswer: 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -11*b**4\/24 + 5*b**3\/6 - 110*b**2. Let s(p) = p + 1. Give -5*s(r) + z(r).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rvnrnvnnnu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 1\/8, -989, -49 in ascending order.\nAnswer: -989, -49, -2\/19, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 171 - 102 = -4*d, -2*z = 2*d - 136. Let t = -71 + d. What is the tens digit of (3\/4)\/(t\/(-160))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkp when three letters picked without replacement from {k: 3, s: 3, p: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4, -1229 in ascending order.\nAnswer: -1229, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3166916 litres?\nAnswer: 316.6916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 10*m**2 + 4. Let g be q(10). Suppose -g*n + 6 = -2*n. Let a be (-1)\/(n\/2190)*1. What is a rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79489880, 79489882, 79489884?\n\"Answer: 2*o + 79489878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.91 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*5\/(-20))\/(2\/8*398\/2587)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**5 + 45*b**4 - 75*b**3 - 805*b**2 + 1470*b = 0.\nAnswer: -7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -381, -291, -215, -171, -177, -251, -411, -675?\n\"Answer: -3*d**3 + 11*d**2 + 78*d - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 8 - (-4 - -12). Suppose -3*i + 2 = -7. Let b(q) = q + i + 0*q + q - 2 - q**3. Give b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 3*a + 2. Let q(h) = h**2 + 2*h + 3. Let f(s) = -4*m(s) + 5*q(s). Let i be f(9). Suppose -5*d + i = -50. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 3*w**2 - 3*w - 10. Let x be i(-3). Let f be ((-2)\/(-18))\/(2 - 1). What is the nearest to x in 3, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -4, -4*j = -3*y - 183. Suppose -j = 3*i - 3*s, i + 7 + 11 = 3*s. Let l = 17 + i. Solve -b = n - 1 + 4, l*n = 5*b + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201678 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00098262 to 6 dps.\nAnswer: -0.000983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 1 b when three letters picked without replacement from {z: 1, k: 2, u: 1, b: 1, t: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**3 + 6 + 8*y**2 - 3*y**3 - 1 - y**3. Let g be d(-6). Let h = -43 + g. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2 - 514*c.\nAnswer: 2*c*(3*c - 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 0, -5 = -k + 990*o - 994*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -8. Let o = 3 + d. What is the units digit of o + 2 + -3 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:22 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 314, 4\/7, -7.61, -0.36?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1617240 and 58200?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1169000 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19999750 and 180?\nAnswer: 359995500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:28 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/924*-4)\/((-3)\/27)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-714)\/3806 - (4 - (-184)\/(-44)). Let c = b + -3283\/692. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-4)*((-952)\/14)\/(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9994 greater than 9993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 29. Solve a*d = 6*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61393 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265732.909 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i**(-1\/4))\/((i*i**(-2\/17))\/(i**(-1\/13)*i)) assuming i is positive.\nAnswer: i**(-113\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5131273 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*x + 660, -2*f - f = -4*x - 495. Calculate the highest common factor of f and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 19*k - 6*k)*(k - k - k)*(-3 - 1 + 2)*(3 + 0 - 1).\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 48 + c**4 - 2*c**3 - 98 + 52 + c in the form t + h*c**2 + p*c + w*c**4 + q*c**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 6*s**2 + 4*s + 2. Give n(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -16\/5*q - 7\/10*q**4 - 4*q**2 - 2\/25*q**5 - 8 - 12\/5*q**3. Factor r(z).\nAnswer: -2*(z + 1)*(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 759 = 496. Find the second derivative of 252*a - 25*a**3 + 20 - u*a - 1 wrt a.\nAnswer: -150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2 = -6. Let l = -5.92 + 2.95. Let t = 0.97 + l. What is the second smallest value in 15, t, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-12)\/(-60))\/((-5)\/(-76625)))\/(2\/(-56)). Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.6, -3, 8, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 + 2772\/19. Let z(g) = -g**2 - 14*g + 39. Let s be z(-15). Let o be s\/(-16)*(-8)\/(-12). Which is the closest to o? (a) 1\/11 (b) n (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 18 - (-292 + 127 + 248)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*q + 2*n - 72, 0 = -4*q - n + 60. Calculate the remainder when 41 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**8\/1008 - 13*o**7\/630 - 29*o**6\/180 - 3*o**5\/5 - o**4 + o**2 + 1176*o. Determine w so that l(w) = 0.\nAnswer: -6, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80126 and 0.12.\nAnswer: -9615.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(1020\/(-1515)) + -22)*12\/3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12533 - 12533.0014418. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 10. What is s(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 + 12*x - 15. Let t be i(8). Let q = -493 - t. Solve q*z - 4*j - 12 = 0, -2*j = 5*z - 6*j - 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*k - 31, 5 - 4 = 2*o + 3*k. Suppose 2*r = r + 4*c + 23, -5*c - 40 = -o*r. Suppose -8*j = -r*j - 485. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -384 or -385?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225 is divided by 1072.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 6) + 13 + -15 + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7 - 6 - 7 - h. What is l(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -32. Solve n - u = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 37*d - 213. What is the units digit of i(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:42 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-162)*-2*114\/(52 + 62)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 + 224*t\/11 - 40.\nAnswer: -2*(t - 110)*(t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/3, -1\/71, 3, 1, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12038 and -17\/127348.\nAnswer: 58962124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16107352.39 and 30.6.\nAnswer: 16107382.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 + z + 6. Let j be o(0). Suppose -5*g - 14 = 4*y, -2*g - j = -5*g. List the prime factors of (-100)\/y*6\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -42, -45 in descending order.\nAnswer: 2\/5, -42, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24456389 = -565*t + 18377292 + 6025824. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 6*o + 5. Let t(c) = -4*c**3 + c**2 + 6*c + 4. Let y(j) = -3*r(j) + 2*t(j). Let x be y(5). Let d = x - 79. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053990675 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161118 is divided by 13408.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 813 = -n, 10*n - 7*n - 811 = -2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6.64. Let i = 0.639942 - k. What is i rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y + 0*y)*(-5*y**2 + 4*y**2 + 0*y**2) + (10*y**3 + y**2 - y**2)*(-1 - 3 + 5).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16833 - -117833\/7. Factor -2\/7*n**2 + 2\/7*n + 0 - 2\/7*n**3 + h*n**4.\nAnswer: 2*n*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/7 + 944*h**2\/7 - 2850*h\/7 = 0. Calculate h.\nAnswer: -475, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -7.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**4*t**2 + 15*s**3*t**2 - 9*s**2*t**2 + 5*t**2 wrt s.\nAnswer: -168*s*t**2 + 90*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5241*a + 68039. Give w(-13).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 2. Let t be l\/(1\/(-2)) + -1. Let w be (-3)\/2*8\/3. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59620, 237776, 534702, 950398, 1484864, 2138100, 2910106?\nAnswer: 3800882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602927.3 less than 0.185063?\nAnswer: -3602927.114937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 293331338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5087096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/4)\/(v*v**(-2\/9)\/v)*(v\/(v*v**(-1)*v))**(-1\/24)*(v**(1\/2)*v*v*(v*(v**3\/v*v*v)\/v)\/v)\/((v*v*v**1)\/v*v)**(10\/9) assuming v is positive.\nAnswer: v**(59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 57245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -24. Suppose -y = 5*z - w, -z = -5*y - 3*z - 9. Sort 24, 2, y in increasing order.\nAnswer: y, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/19 - 3066*z\/19 - 125840\/19.\nAnswer: 2*(z - 1573)*(z + 40)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19499763 divided by 573?\nAnswer: -34031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h - 131. Let l = 3749 - 3731. Determine q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15 = 2*c, 3*p - 6 = 15. Put -47, c, 1 in decreasing order.\nAnswer: 1, c, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = 26*a + 20034. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8527673 is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59\/2 - 30. Let s = -61 + 61. Sort 3\/8, s, o in ascending order.\nAnswer: o, s, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -349 - 70?\nAnswer: -3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*m - 69, 3*m - 2*j + j = 48. Calculate the remainder when 59 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4 + 3)*-14)\/(-1 - -3). Solve -4*s + 18 = -3*n, 4*s + n - v - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 37*j**2 + 1. Give x(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 5*a + 166*a**2 - 155*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 887951901 and 0.0544.\nAnswer: 887951901.0544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6880\/70 - 4\/14. Suppose -2*f + u - 22 = 0. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*h = -17, -5*p + h + 4 + 6 = 0. Suppose -181*s - 256 = -197*s. Let q be ((40\/16)\/(20\/s))\/1. Solve -p*u + 1 = -q*m, -u - 2*m - 3*m = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from xieeztdtzxet.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -238 (b) -36 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 16925582*z + 118478976.\nAnswer: 2*(z + 7)*(z + 8462784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 39 + 9 = -5*w, 3*w + x - 29 = 0. Solve -w*y - 2*c - 21 = -3*y, 12 = -4*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -6 - 22) + 16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28062?\nAnswer: 2, 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/4302 and 61\/273177.\nAnswer: 546354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 868 - 812. Round c to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 150 = -2*b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 676*t**2 + 1349*t - 674.\nAnswer: (t - 674)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 1\/2*y**3 + 3\/2*y**4 + 1\/2*y**5 - 3\/2*y**2 - y + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027371837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10110101011101111010 (base 2) to base 7\nAnswer: 6214012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -777971 (b) 10 (c) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76248483, 76248482, 76248481, 76248480?\nAnswer: 76248479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -192\/5, -3100\/11, -7 in increasing order.\nAnswer: -3100\/11, -192\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**4\/24 + 20*v**2. Let r(i) = -22*i**2. Calculate r(y(p)).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y = -4872 + 5754 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4680 and 728?\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 5. Let v be z(-5). Let w(u) = -u + 15. Let b be w(v). Suppose -2*y + b = y. Solve 2*o + 8 = -y*q - 10, 4*q + 4 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/5, 0.01, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -5)*(3 + -1). Let u = 21 + v. Suppose -u = 5*d - 54. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2333\/86 - -70\/43. What is the common denominator of z and (-2493)\/(-378) - (-2)\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.02 - 0.02. Let z = 1448\/3 - 484. Which is the nearest to 0.1? (a) z (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65981 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 716, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose -3*u + k*u = -3. Which is the nearest to -2\/3? (a) -0.1 (b) u (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.6, -5087, -5, 0.2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = -3*y, -3*t - 3 = -y - 4. Let h(x) = -x**2 + 8*x - 6. Let p be h(7). Suppose -p = u - 0*u. Sort u, 5, t in descending order.\nAnswer: 5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6873*i**2 + 20498*i**2 - 6848*i**2 - 6784*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371 and 46032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6214*w + 6279*w - 88 - 367 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(1596\/(-24)))\/((-12)\/714)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47892 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9019 in 2\/13, -1\/4, 0.26?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.05 + -4. Let g = -9.986 + 10. Let d = g + s. Round d to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-3)\/18 - 0). Let v = -4 + n. Suppose t = -5*f + 35 + 19, 0 = -3*f - v*t + 31. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 34, 61, 94, 133, 178, 229?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 379*i - 33556. What is v(78)?\nAnswer: 2090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 827785887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23484)\/18 + (-3)\/9. Let l = 94 - w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7587 divided by -2529\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 1, q: 1}. What is prob of sequence po?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/144*48\/(-50). Which is the third smallest value? (a) -0.4 (b) x (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvullvlvlvvlvvuv. What is prob of sequence vu?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.56 times -0.08\nAnswer: -0.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -158. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2151\/7, 2, -339 in increasing order.\nAnswer: -339, -2151\/7, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013876996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k**(-6))**3 assuming k is positive.\nAnswer: k**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 6*p. Suppose -p*h = -21 - 5. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.025, 17.2, -6\/7 in increasing order.\nAnswer: -6\/7, 0.025, 1, 17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let p be (-1)\/(z\/(-1 - 31)). Find the common denominator of p\/(-3) - 4\/(-2) and 101\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 17*l + 201 = -19*l, -3*j + 105 = 4*l. Suppose -49*w = -j*w. Let d = 6 + -3. Solve 0 = -5*z + 10, 4*b + d*z = -w*z + 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 56613.71 nanograms?\nAnswer: 0.00005661371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 742 + -694. Suppose q = 53*p - 5. Which is the third smallest value? (a) 13\/5 (b) -0.5 (c) p (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 4*v + 2*v**2 in the form w + p*v**2 + j*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + s**3 - 4*s**3 + 27*s.\nAnswer: -2*s**3 + 27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3978 and 186?\nAnswer: 123318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 45. Let m(w) = -9*w - 54. Let q be m(-6). Let i(y) = 2*y**2 + 8*y + 6. Calculate the remainder when r(q) is divided by i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16924197.\nAnswer: 3, 17, 29, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(q - 2*q + 0*q)*(-2*q + q + 3*q) - 4*q**2 - 5*q**2 - 6*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 809119, 809112, 809105?\n\"Answer: -7*d + 809126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859*o + 1714*o - 855*o + 2 - o**2.\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - 3*f**2 - f**2)*(0 - 1 + 0) - 3 + 3 - 6*f**2 to the form p*f**2 + y + t*f and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.49227762 to four dps.\nAnswer: 4.4923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 667\/6 - 111. Let l be 39*(-14)\/42 - -11. Which is the closest to 0? (a) k (b) l (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 8*d + 2. Let o be v(6). Let y be (35\/o)\/((-1)\/(-2)). Solve -h - 5*c = 19, -16 = -y*h + 4*c + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3703*o**3*u**3 - 11482543*o**3*u + o**2*u - 2*o*u**3 + 69*o*u**2 wrt u?\nAnswer: -22218*o**3*u - 12*o*u + 138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 7 (b) 0.2 (c) 4 (d) -7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 2*s**5\/5 - s**4 + 2*s**3\/3 + 3. Factor g(x).\nAnswer: 2*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/3*48\/(-10). Suppose -l = -5*l - r. What is the units digit of 14\/l*4\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1127?\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125*c - 26 with respect to c.\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -657, -968, -1283, -1608, -1949, -2312, -2703?\nAnswer: -3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0, 0.309, -8\/5, -69?\nAnswer: 0.309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*l + 350 = 0, -g = -0*g + 5*l - 93. Suppose 1435 = 4*o + 343. Suppose -g = 5*w - o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 + 4*i - 15. List the prime factors of n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -193421\/14 - -13823. What is the common denominator of n and (-5 - -2) + 865\/200?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 17?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6777.\nAnswer: -2\/6777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656845 to the power of 1\/2, to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 18911*j**2\/2 - 9457*j\/2 - 4728.\nAnswer: (j - 1)*(j + 9456)*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1968524781 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 545, 563, 599, 659?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -276 - 4?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 w when four letters picked without replacement from {b: 3, t: 1, w: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.82813 grams in nanograms?\nAnswer: 39828130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Let -y*u + 5*u**4 + 21*u**3 + 4*u**4 + 3*u**4 + 2*u**2 + 4*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 211 + 301. What is the least common multiple of h and 146?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) -37\/18 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18168823.\nAnswer: 18168823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/a*a\/(a\/(a\/((a\/a**8)\/a*a)))*a*(a\/(a*a**2))**22 assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -13*a**6\/24 - 7*a**5\/12 + 20*a**4\/3 - 10*a**3 - a**2 - 318*a - 10. Determine k so that d(k) = 0.\nAnswer: -2, 6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 + 2.1. What is the nearest to 0.3 in 3, -2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5397364*q**3 + 42*q**2 - 249*q + 17 wrt q.\nAnswer: -32384184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7 + -32437?\nAnswer: -32500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1428.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-17)\/102).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*1\/(-2)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -59*a**2 + 659*a + 13. Let n(u) = 69*u**2 - 658*u - 15. Determine 6*n(g) + 7*p(g).\nAnswer: g**2 + 665*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30849 + 13065 = -767*v - 43254 - 44327 for v.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**2 + 10*q - 440. Let u(n) = -20*n**2 - 28*n + 1319. Calculate 17*b(m) + 6*u(m).\nAnswer: -m**2 + 2*m + 434","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 + 189. What is the derivative of -2*z**2 - z**2 + 2*z - 17 + z**o wrt z?\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -401639, -401635, -401631, -401627?\n\"Answer: 4*l - 401643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 102*g - 614. Let n be c(6). Let a(t) = 23*t**2 + 47*t + 4. Let s be a(n). Find r such that 25\/2*r + 15\/4*r**4 - s - 91\/4*r**2 + 17\/2*r**3 = 0.\nAnswer: -4, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q. Let d = 46431 - 46428. Let s(m) be the first derivative of 0*m**2 + 0*m + 7\/3*m**d + 35. Calculate i(s(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(704) + 1))**2 - -1*(-4 + 1 + sqrt(11) - sqrt(176)*2)**2.\nAnswer: 442*sqrt(11) + 18170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 2*n + 29. Calculate the remainder when 42 is divided by m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1070, -1531, -2008, -2501, -3010, -3535, -4076?\nAnswer: -4633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572 = 755*g + 105 - 2684 - 1889 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, 1, -1086, -6 in decreasing order.\nAnswer: 3, 1, -6, -18, -1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2*a**5\/5 + a**4\/4 + 34*a**3\/3 + 3601*a**2\/2 + 1282. Find the second derivative of q(d) wrt d.\nAnswer: -24*d**2 + 6*d + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.379811 + -1.38. What is t rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 11, h: 1, i: 1, k: 3}. What is prob of picking 2 w and 1 y?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 64 = -72, 0 = -5*j + 3*u + 3578. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxk when three letters picked without replacement from xkuxxxxkxkkux.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2002048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 - 10*y - 2. Let c(z) = 5*z**2 + 9*z + 1. Let v(d) = -7*c(d) - 6*f(d). List the prime factors of v(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5018*l**6 - 34*l**5*w + 49467*l**2*w + 3*l**2 - 39*w wrt l?\nAnswer: 602160*l**3 - 2040*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (186536\/140)\/(4\/10). Round d to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 0 - (-58 - -47)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = 0, 26 = r + 5*k - 2. Suppose 0*t = t - 5. Put t, r, 4 in descending order.\nAnswer: r, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/15)*(c\/(c*c**4))\/c)\/(c**(-2\/7)*c)**50)**(-41) assuming c is positive.\nAnswer: c**(175849\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13645.068 months?\nAnswer: 1137.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*h = -5*t + 30, 0 = -4*t + 3*h + 28. Suppose -2*a + f = -t, -2*a - 4*f - 7 = a. Solve -5*k + 5 + 7 = -a*v, -2*k + 9 = 3*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-799)\/2 + 1 + 0)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 1072813896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 26*x**2 + 27*x - 23. Suppose -3*t - 5*j = 60, 2*t - t + 37 = 4*j. Let g be l(t). Let a = g + 227. List the prime factors of a.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 10*m**2 - 9*m + 1. Let i = 16 + -5. Is k(i) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19)*2)**2 + -2.\nAnswer: 12*sqrt(19) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 751363157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((570\/(-3))\/38)\/(1\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -32. Let m(q) = 3*q - 1. What is m(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*j = -168. Suppose -4*z + j + 12 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54439800 + -895698?\nAnswer: 53544102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 + -238. Let t(c) = c**2 + 2. Determine t(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 28) + (-15 - -6) + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)*1 - (-18)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 3. Solve -7*d - 8 = -q*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*((-150)\/4)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -14. Let x = -11 - a. Let c = 10 + x. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkwwk. Give prob of sequence kwwk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -28 - 19. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 37 + 5*i + 61 + 3*i - 77 - 7*i. Calculate h(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -i - 32, -4*i + 6943 = 4*s + 6939. Let c = 52 + -13. What is the remainder when c is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/9 and -11\/362448?\nAnswer: 362448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 k when four letters picked without replacement from {f: 1, k: 2, y: 4, n: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 32 - 12 - 7 - 16. Let x be w(2). Let z(k) = 3*k**2 + 2*k**2 - x*k**2 - 3*k**2. Let s(a) = 38*a. Calculate s(z(o)).\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 1)*(0*p + 0*p + p) + 20 - 2*p - 12 - 11 as y + s*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65669\/20292 - 297\/89. Find the common denominator of y and 13\/33.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25110*f + 14899*f - 18094*f - 7249*f.\nAnswer: -35554*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -144?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 31.7 (b) 1\/3 (c) -2 (d) -4 (e) 0.029 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 - 8*u**2 + 9*u + 2. Is f(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 1210*r - 1210*r + 128*r**2)*(2 - 1 - 3)*(r - 4*r - 2*r).\nAnswer: 20*r**4 + 1280*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -49\/4. Let z = 1 + 1. What is the third smallest value in z, n, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -6*g - 22 - 94 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12399*q + 12785*q - 2316 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1111011001001010111011 (base 2) to base 10\nAnswer: -4035259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 6 - 30*z + 89*z - 42*z)*(-30 + 73 + 12) in the form w + a*z and give a.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 279. Let p = y + 240. Let j = -0.1 + 0. Which is the nearest to j? (a) -2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 168009, -1, -1\/2, -2, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10\/((-18)\/(-114345)*11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22176931 to the power of 1\/2, to the nearest integer?\nAnswer: 4709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81970\/70363 or 0?\nAnswer: -81970\/70363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-2) + (3 - 12 - -16)*2507 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000119479 rounded to seven decimal places?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5499010 divided by 549901\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -1460, -2191, -2922, -3653, -4384?\nAnswer: -5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 12000*l**2 - 35955*l.\nAnswer: -5*l*(l + 3)*(l + 2397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 62*r. Let v(c) be the third derivative of -5*c**4\/24 - 17*c**2 + 16. Determine p(v(o)).\nAnswer: -310*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 25776 = 21*m. List the prime factors of m.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 0 + 0)*(4 - 4 - 1) + 0*v + 4*v - v + (-2 + 4 + 0)*(32*v + 1099 - 1099) + 2 + 2*v - 2 in the form g + q*v and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 + 3. Let j(t) = 1620*t**2 - 561*t + 18. Let g(z) = -j(z) + 6*y(z). What is the second derivative of g(u) wrt u?\nAnswer: -3144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2536*k + 2632*k + 39*k**2 - 47*k**2 + 94*k**2 to c + j*k**2 + r*k and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54554156.\nAnswer: 2, 17, 103, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440) - ((sqrt(1440) - (sqrt(1440) + 1*sqrt(1440)*-1)) + sqrt(1440)))*-1)\/(-2*-1*sqrt(8)*-1*2).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622*-5.\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 12*m = -37*m - 792 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 8 = 0. Solve -6 = a - o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 a factor of 495493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 601*a**2 - 86*a - 402. What is the hundreds digit of b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2273 divide 115364625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2122 (base 3) to base 10\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/15 - 4*x**2\/3 - 866*x\/15 + 884\/15.\nAnswer: 2*(x - 26)*(x - 1)*(x + 17)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from rghggkokwkroo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1 = 4*m, -5*w - 5*m + 900 = 890 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -4 - 8)*(1 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3623 plus 7447481.93?\nAnswer: 7443858.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -8. Suppose 3*t - 15 = -u*t. Let h be (30\/27)\/(-5) - (-235)\/45. Calculate the greatest common factor of h and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24123333.\nAnswer: 3, 13, 618547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998 - d + 329 + 335 + 334.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127856132.\nAnswer: 2, 31964033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.007804 days to hours.\nAnswer: 216.187296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16225863\/220 + 73760. Let t = 85\/11 - h. Find the common denominator of 13\/22 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652*k + 660*k - 24 = 0. Let u(q) be the third derivative of -1\/12*q**4 + 1\/60*q**6 - 4*q**2 + 1\/105*q**7 + 0 + 0*q**k - 1\/30*q**5 + 0*q. Factor u(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3\/7*q**2 + 81\/7*q + 78\/7 = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(11)*-1)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + (-3 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2172142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29192*u**4 + 34742*u**2.\nAnswer: -700608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-78)\/18 - -4) + 6874\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1)\/((-30)\/12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3012 - 3011?\nAnswer: -12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {c: 4, v: 4, q: 1, w: 7, s: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-2\/19)*j**7\/(j\/(j\/(j*j*j\/(j*j\/j**(-1\/2)))))*(j*(j\/j**12)\/j*j\/j**(-6\/7))**32 assuming j is positive.\nAnswer: j**(-76039\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 312, 614, 850, 990, 1004?\n\"Answer: -5*u**3 - 3*u**2 + 346*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 + 4*f - 2. Let x be q(2). Suppose 5*m + 4*o + 1150 - 1164 = 0, -40 = -4*m + 4*o. Suppose -c = -m + x. Which is greater: c or 1\/70?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -151*k**3 + 5*k**2 + 2*k + 5. Let s(v) = -75*v**3 + 2*v**2 + v + 2. Calculate 2*h(p) - 5*s(p).\nAnswer: 73*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4259309*58809\/(-24)*(-145)\/(-127030588). Let r = p - -5\/31757647. Let g = r - 11915. What is the common denominator of -25\/28 and g?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*d**2 - 2\/5 + 2*d = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -82*i**2 - 70*i + 5. Let x(u) = 2*u. Determine x(z(s)).\nAnswer: -164*s**2 - 140*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 104 = -110*k + 108*k, -k - 50 = -0*k - 0*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s - 1. Give v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(2 + (-6)\/2). Let q be (-1)\/(-4) - 117\/(-12). Let o be (-2)\/(-10) + 38\/q. Solve 16 = i*p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 414749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/367200 and -131\/224400?\nAnswer: 4039200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552241 is divided by 299?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 43.0649?\nAnswer: 28.0649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -1.6?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 3}. Give prob of picking 2 h and 1 e.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4129187 and 5?\nAnswer: 4129192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 6, q: 1, z: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/15 and -143\/1134?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 624*v**3 - 3*v + 2. Is t(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1161)\/(-12) - ((-15)\/(-36) - (-8)\/(-12)) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172348?\nAnswer: 2, 11, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g + 0*g**4 + 0*g**5 + g**2 + 0 - 4\/3*g**3 - 1\/60*g**6. Differentiate j(f) with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0 + 1\/3*d**3 - 6*d + 1\/20*d**5 + 0*d**2 + 2\/3*d**4. What is the tens digit of i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/630 and 139\/3276.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 307531 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 13*d - 59. Let v be g(17). Determine z so that 3*z**3 + 943*z - 2*z**4 - 946*z + 0*z**2 + 6 + 5*z**4 - v*z**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1016, 108, -800?\n\"Answer: -908*m + 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 0)\/(-2))\/(2 - 120). Let t = 5779\/708 + p. Calculate the common denominator of -55\/21 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 7:41 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2858495000 rounded to the nearest one million?\nAnswer: -2858000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/74 and 62\/999?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*u - 5103 = 76*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*k = -w + 507, 5*k = -3*w + 1549. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.89933 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:10 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 143*l**5\/6 - 961*l**2 - 2. Let h(o) = 2*o. Calculate h(c(i)).\nAnswer: 2860*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.52, 1\/31, -3\/2, 2, 17124, -0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 36 = 251. What is the common denominator of -26\/9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 18 = -4*b - 5, -3*b + 4*g + 16 = 0. Let z(d) = -3*d + 2. Let k be z(-6). Solve 5*v = b*q + k + 5, -v + 1 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 24 = 4. Let g(w) = -20 - y*w**2 + 42 - 22. Let z(h) = 6*h. Calculate z(g(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-4698)\/(-360) + (-12)\/(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406*i - 1406*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*50\/(-16500))\/(95\/(-418))?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(-47))**(-3) assuming j is positive.\nAnswer: j**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*f**6 + f**4*m**2 + f**3 + 8*f**2*m + 337*f*m**2 wrt f.\nAnswer: -2760*f**3 + 24*f*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - h + 3, 0 = -4*g - 2*h + 42. Let o = -5 + g. Suppose 80 = 4*t - 2*m, 59 = 3*t - m - m. Calculate the highest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15960\/336*-4*(-7)\/140.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 72842140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1107486 or 4429939\/4?\nAnswer: 4429939\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*g - 44, -3*o - 4*g + 59 = 2*o. Let m be ((-228)\/o)\/((-4)\/50). Suppose 3*t - m = -2*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-6) + 80\/(-120).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**2 - 30*y + 35 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t + 2597 = 60*t + 347 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 2:42 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 4*t + 7*t)*(581 + 8*t - 581)*(-5 + 6 - 2)*(1 + 2 - 5) as d*t + s + c*t**2 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.38 (b) 1 (c) -12 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072, -2182, -3334, -4528, -5764, -7042, -8362?\nAnswer: -9724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 450547 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4045 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -73468515.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 537185.2 millimeters?\nAnswer: 0.5371852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.443 - -10.357. What is the fourth smallest value in 3\/7, 0, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4680 divided by -2?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.1 (c) 299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let w(v) be the second derivative of -4*v**3\/3 - 502*v. Calculate -t(c) + w(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.125 plus 4.9?\nAnswer: 7.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + v. Let b be u(1). Suppose o - b = -o. Solve 0 = 5*f + 2*p - 9, -4*f - 7*p = -o*p - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 755043176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-40)*2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*w - 2723, 56*t + 2688 = 59*t + 3*w. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**5 - 4*w + 0*w**3 - 7\/6*w**4 + 0*w**2 + 8\/15*w**6 + 0. Find the third derivative of s(v) wrt v.\nAnswer: 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ififiifg. What is prob of sequence iig?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102978209.\nAnswer: 102978209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coc when three letters picked without replacement from {c: 2, o: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 9*y**3 - 5*y**2)*(4 + 5 - 5)*(-4 - 3 + 5) + (y**2 + 5*y**2 + 0*y**2)*(3*y - 4*y + 3*y) + 14*y**3 + 8*y**3 + 5*y**3.\nAnswer: 111*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104996747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455\/15 - (-6)\/9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15711559*d - 44*d**3 - 15711559*d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from {q: 6, e: 5, h: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 15614?\nAnswer: 15573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1469*u - 20 = -1468*u + 4*c, -2 + 12 = 7*u - 2*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -4, 2, 307 in descending order.\nAnswer: 307, 2, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 76*l - 101. Let i be c(40). What is the highest common factor of i and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1315206 divided by 3\nAnswer: 438402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/3 - 304115*n**3\/3 + 304094*n**2\/3 + 6082280*n\/3 = 0. Calculate n.\nAnswer: -4, 0, 5, 304114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 1251*j + 40141. What is c(-35)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(h**2 - h**2 - 2*h**2) + 2*h**2 - 8*h + 8*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 82?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -54 + 59 + r**2 - 6*r + r**2 - 7*r**2 + r**3. What is d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 6*d**4 - 14*d**4 + 3*d**5 + 0*d**4 + d**5 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 2\/11, 0, -0.5, -0.061?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d - 3*p - 23 = 98*d - 3, 0 = 11*p + 66 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 3*f - 7, -12 = 3*v + 10*f - 15*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-4*sqrt(275))\/sqrt(11))\/((sqrt(80) + sqrt(80) + sqrt(80)*1)*-4).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17995732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222203230 + 122?\nAnswer: 222210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*c**3 - 18*c**3 + 33*c**3 + (9*c - 3*c + 9*c + 7)*(2*c - 2*c - 2 - 2*c**2 - 2*c).\nAnswer: -34*c**3 - 44*c**2 - 44*c - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59044083?\nAnswer: 3, 7, 2811623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 227*s + 98. Is p(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/11))\/(a\/(a**6*a))*(a\/(a**0\/a))**(7\/3))\/((a**(-2\/3)*a**(1\/2))\/((a*a**(-1\/4)*a)\/(a**(-1\/3)\/a))) assuming a is positive.\nAnswer: a**(1957\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) 329 (c) -1.2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 13. Calculate the remainder when f(9) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5235 divided by -1047\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 - u + 1. Let b be f(2). Suppose -6*j - 1 = -j + t, 11 = j + b*t. Let y(n) = -4*n**3 - 2*n - 1. What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/10*o - 6\/5 - 1\/10*o**2 = 0 for o.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 19705 = -o, -3*u + 18942 = 5*o - 79555. What is o rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 10*t - 3. Let k(l) = -3*l**2 + 29*l + 10. Let g be ((-5)\/30*-16 + -3)*9. Let p(i) = g*k(i) - 8*c(i). Determine p(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/7 of a week in days?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203081 divided by 31.\nAnswer: -6551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*579978\nAnswer: -2899890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030337071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458 - 458 - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/9)\/((-30)\/36)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/((-1)\/1). Let m be 2*3\/(-6)*(-3 - 2). Suppose m*w = q*w + 6. Solve s = -n - 1, n + 2*n = -4*s - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256024 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 17*k - 7. Let s be x(8). Let t(y) = 0*y**2 + 0*y + 2*y - s - 3*y**3 + 0*y**2. Let a = -55 + 56. What is t(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 less than 47.69?\nAnswer: -14.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 2, 1.\nAnswer: -4, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.06 (c) -4.6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263095 is divided by 978?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -89373*y**5 + 136334187*y**4 + 347802888*y**3 + 320502912*y**2 + 127899648*y + 18776064 = 0?\nAnswer: -1, -16\/31, 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 + 956*x. Let w(l) = -16*l. Give w(m(d)).\nAnswer: 96*d**2 - 15296*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 25141?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 2. Let p(x) = -x + 1. Let d be p(4). Let i be (9\/54)\/(2\/4)*6. Let g(z) = -4*z - 1. Give d*g(a) + i*w(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326 + 68. Let o = -259 - r. Let p = 827\/9 - 92. Which is the closest to 1? (a) o (b) p (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-935)\/(-44)*84\/(-105)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q + 17. Let f(n) = 29*n + 34. Suppose 0 = 4*x - 2*x + 3*i - 18, -i = 0. Let h(r) = x*g(r) - 4*f(r). What are the prime factors of h(13)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 27 - (15 - (-3 + 7))) + 2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12756207 divided by -4252069?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 1. Let z be t(1). Let k = -0.4 - -0.3. Let o(f) = -2*f. Let v be o(-1). What is the nearest to -0.3 in k, v, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - b32b7b?\nAnswer: -b32b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3398 - -273?\nAnswer: 272.6602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 1687924?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 4*j + j**2 + 2*j**3 - 5*j**2 - j**3 + 4. Let g be l(3). Is ((-143)\/g)\/(9\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let y(m) = 65795*m**2 - 75*m - 150. Let n(w) = 5483*w**2 - 6*w - 12. Let p(j) = 25*n(j) - 2*y(j). What is p(l(d))?\nAnswer: 5485*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19995256733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 29664.399.\nAnswer: -8899.3197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1\/8, -1 in ascending order.\nAnswer: -1, -1\/8, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154344, 154147, 153914, 153639, 153316?\nAnswer: 152939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1 + (-2)\/(-6)). Let s be 0 + -3 + f\/2. Let x(q) = 5*q - 7. Let r(t) = 11*t - 15. Let n(k) = -6*r(k) + 13*x(k). Give n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(2736)*-4*-3)**2*3.\nAnswer: 382952448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -0.1, -259, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/(8*10\/120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6607 - 1.45814. What is g rounded to two decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 9*y + 12. Let f be x(8). Suppose 5*b - 3590 = 3*q, -f*q - 4*b - 3608 = -q. Round q to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 28971\/15. Is z\/8 - (65\/(-40) + 2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383\/231 - -2\/231. Let r(n) = -n + 8. Let q be r(6). Suppose y = -q*y. Which is the second smallest value? (a) d (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 2\/9 (b) 5 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -950, -953, -958, -965, -974, -985, -998?\n\"Answer: -q**2 - 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**2)\/(z\/z**(2\/5)))**(3\/4) assuming z is positive.\nAnswer: z**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19125 and 90900.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1420\/6)\/5)\/(2 - 0). Let k = 24 - n. Let j = -2.05 - -0.05. Which is the second biggest value? (a) -2\/7 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*f - 3*f - 5*k, 5*k - 8 = 3*f. Suppose -4*b - 5 = -197. Calculate the remainder when b is divided by (-105)\/f - (-2)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*s - 127*s - 12*s - 10*s**3 + 282*s.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -6. Suppose l + 1 = g. Suppose -2 = -2*f + g. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -39. Is s != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -2*i, -5*i = 2*q - 8 - 22. Let c(u) be the first derivative of 0*u - 2 + 2\/3*u**3 - 2*u**2 + 1\/2*u**i. Find m, given that c(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000021 + -12?\nAnswer: -2000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 17}. Give prob of sequence vn.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152162528 divided by -76081264.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02316 - -1748.1489?\nAnswer: 1748.12574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 3*j**3 + j**3)*(-2*j + 0 + 0 + (-3 + 0 + 4)*(7 - 12*j - 7)).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-2) - (-1)\/(-2). Suppose -173 = -s*x + 5*y, -3*x - y + 193 = 4*y. What are the prime factors of x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 124, -299, 1, 0, -14 in descending order.\nAnswer: 124, 1, 0, -3, -14, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8)*q**(6\/7))\/(q**(2\/15)*q*q*q**(3\/13)) assuming q is positive.\nAnswer: q**(-11612\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8088, -8069, -8050, -8031, -8012?\nAnswer: -7993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 1, x: 1, j: 7, d: 3}. Give prob of sequence af.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((16 - 9) + -116)\/(-1). Suppose -u*p + 78 = -103*p. Solve 2*k - 3*y - p = 0, 4*k - y = 1 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n. Suppose -r - 5*o = 12, -3*r + 5*o = -n*o - 24. What is the first derivative of 1 - l - r*l + 2*l - 7*l wrt l?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 - (-9 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 12*s**2 + 2*s + 5. Let u be (-2 - (-57)\/12)*-4. Let l be h(u). Let n = 79 - 66. Calculate the highest common divisor of n and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:54 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:16 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 28. Suppose 0 = -5*z + 1 + a. Suppose z*v = 7*v - 120. 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: Solve -5*n = -2*m - 6, 38*m - 33*m + 15 = 5*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.4377 - 0.7237. What is n rounded to one dp?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2*t + 5, -3 = -g + 2*t. Put g, -24, -4 in increasing order.\nAnswer: -24, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13*u - 2. Let v be n(-1). Suppose 4*a + v = 47. What is the derivative of -251*f + a + 251*f - f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34795?\nAnswer: 5, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 + 3*y - 2. Let r(x) be the third derivative of x**5\/60 + x**4\/24 - 5*x**2. Calculate -k(q) + 4*r(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5) + 1 + 5 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 5, d: 1}. What is prob of picking 3 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 less than -0.3?\nAnswer: -291.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2321261 times 0.6\nAnswer: -1392756.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -760*f - 1507. Determine l(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13313, 53271, 119871, 213113, 332997, 479523, 652691?\n\"Answer: 13321*c**2 - 5*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673782?\nAnswer: 2, 3, 112297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akpkuxua. Give prob of sequence xu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -110.\nAnswer: -7\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.32 in -2\/7, 0.06, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 + 6. Let v = k - 35. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8*y + 3*y = -11992, y + 5975 = n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1416)\/(-102) - 4\/(-34). Suppose -7*t = -14 - j. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 34*z + 1196. What is the thousands digit of w(45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*i**4 + 5209*i - 17*i**5 + 13*i**5 - 10*i**4 + 21*i**4 wrt i.\nAnswer: -80*i**3 - 996*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*7095\/(-28215)*((-6)\/(-1))\/2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 334 = 45*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -28. Let n = 84 + -55. What is the remainder when n is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 2*b - 2*b)*(b + 0*b - 3*b) - 3*b**3 + b**3 + b**3 + (2 + 1 - 1)*(3*b**3 + 0*b**3 - 2*b**3) + (-b - b + 5*b)*(0*b + 0*b + 2*b**2).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*g)*(-2*g - 4*g + 4*g)*(-455 - 83 + 78).\nAnswer: 1840*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, 5*n + 3*d + 209490 = -2*d. Let o = n + 421913. Suppose 5*c + o = -0*c - 3*w, -379990 = 5*c - 2*w. What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1164\/48 - 28)*(10\/6 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17941215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3399852 and 16794.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 850 and 437325.\nAnswer: 874650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115, -234, -353, -472, -591?\n\"Answer: -119*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 812 in 4, 0.2, 2, -0.38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 728\/(-378)*(-1)\/(-28)*42\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -6. Let o = h - 21. Let u(t) = -5*t**3 - 2*t**2 - 2*t - 1. Determine u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 31 + 10*x**2 - 12*x**2 as r*x + y*x**2 + f and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15255603 to the nearest integer?\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329.501 seconds in nanoseconds?\nAnswer: 1329501000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.051 - 0.051. What is the nearest to 0.03 in 0, m, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4263)\/1015)\/((-6)\/10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/85 and 36\/(-27) - (-472)\/(-600).\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let z = -6 - -9. Find the second derivative of 0*d + d - 2*d**z + 0*d**y wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l. Let j(k) = 143*k - 287*k + 141*k. Calculate m(j(p)).\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 826, 1056, 1426, 1930, 2562, 3316?\n\"Answer: -h**3 + 76*h**2 + 9*h + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65013880.\nAnswer: 2, 5, 1625347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = -20 + 124 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -3*x**3 + 5*x**2\/2 - 9*x - 3. Let h(l) = -4*l**2 + 2*l - 4. Let m = 24685 - 24688. Determine m*u(f) + 7*h(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + k + 2 + 2*k + k.\nAnswer: 9*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmmmfmumumfnfff. Give prob of picking 4 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/7)*y*y)**(-2\/5)\/(y**(-2\/5)*y*y**(-5)*y) assuming y is positive.\nAnswer: y**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 956, 957, 958?\n\"Answer: j + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 165.\nAnswer: 17\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z**3 - 21*z**2 + 8. Let l(t) = -14*t**3 + 20*t**2 - 9. Determine -6*g(i) - 5*l(i).\nAnswer: -2*i**3 + 26*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3174 - 879. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3)*(1 - -1). Let f be 1 - (3 + 0) - -4. Suppose -2*g - l = -19, -f*g + q*l = 2*g - 58. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4634921 + -0.6.\nAnswer: -4634921.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.066, 0.36, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.460268 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -10*h + 3*a, -4*h + 48 = 88703*a - 88705*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, a: 9}. What is prob of sequence ua?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 4. Let q(k) = k + 9. What is 7*i(j) + 3*q(j)?\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014342077576 rounded to six dps?\nAnswer: -0.001434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23030 = 4*d + x, -3*d + 4*x = -494 - 16769. Let o = d + -889. Find the second derivative of -4868*q**4 - 21*q**5 + o*q**4 - 40*q wrt q.\nAnswer: -420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r. Let q = 12690 - 12685. Let y(d) = -4*d**2 + 5*d - 2. Give q*v(n) - y(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*z + 2*z - 2504, -2*j = z + 999. Let w be ((-96)\/80)\/(42\/j). Which is bigger: w or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 0.72.\nAnswer: -13.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) + ((-2240670)\/(-77805) - 4\/(-26))?\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 35*d + 68 - 8 - 121*d**2 - 37*d to i + s*d + t*d**2 and give t.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x - 78. Calculate c(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786195 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (75 - (-15 + 49)) + 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4799 + -4801. Which is the fourth biggest value? (a) t (b) -0.02 (c) -0.4 (d) -0.08 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 2904*o + 2908.\nAnswer: -4*(o - 1)*(o + 727)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/3)\/(d\/d**(1\/7))*((d**(-6)\/d)\/d)\/d*d**7)**(4\/21) assuming d is positive.\nAnswer: d**(-380\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/30263 and -93\/10.\nAnswer: 302630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 3*m + 2*m**2 - 4*m**2 + 4. What is the units digit of s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -396 and 0.07.\nAnswer: -395.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -60\/128911?\nAnswer: -60\/128911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:36 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19533.8347 rounded to the nearest one hundred?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - z**2 - 9*z - 5. Let d(a) = a**2 - 1. Let s = 5 - 6. Let l(n) = s*t(n) - d(n). Factor l(y).\nAnswer: -3*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6950*w**3 + w - 1. Let a be j(1). Suppose y + 4*y - a = 0. What is y rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -48*j - 160. Let a be c(-6). Suppose -a = 17*f - 2066. List the prime factors of f.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.0814 nanograms to kilograms.\nAnswer: 0.0000000003390814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a**2\/7 + 6098182*a\/7 - 1524546\/7 = 0.\nAnswer: -762273, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168037 + -367171. Let c = 199114.0122 + d. Let w = c + 20. Round w to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-420)\/(-42)*((-8)\/(-5))\/1. Suppose 33*y - 37*y + s = 0. Suppose 4*g - 44 = -4*j, -5*j - y*g = -21 - 35. What is the least common multiple of j and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132237 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: In base 15, what is -10020 - 9?\nAnswer: -10029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 42*v**3 - 2*v + 91 + v**4 + 3*v**2 - 30 in the form a*v + b*v**3 + z*v**2 + t*v**4 + h and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576730 is divided by 8606?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.981 - -0.119. Which is bigger: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94116 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -5 (c) 0.793\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*r - 2*f, -3*r + 2*r = -5*f + 42 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/240 and 97\/1152.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 + 2*u**3 - 2*u**4 + 8*u + 0*u**4 + u - 3*u**2 in the form h + r*u**4 + j*u + n*u**2 + l*u**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 1. Let p be j\/7 - 4\/(-2). Suppose -2*i + p*i = 6. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 172184*g**3 + g**2 + 381857 wrt g?\nAnswer: 516552*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**9\/362880 - m**8\/120960 - m**5\/30 + 33*m**2. Let q(g) be the third derivative of l(g). Determine y so that q(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Let g be (1 - 15)*(-7)\/c. Suppose -g = -2*x - 5*a, 4*x + 0*a - 59 = 3*a. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2890082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*f - 460, -2*g = f + 79 + 821. Let l = -348 - g. Calculate the remainder when l is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, j: 4, m: 4, r: 6}. What is prob of picking 1 j and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v + 3. Let o(t) = -99*t - 22. What is 3*o(w) + 22*r(w)?\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22817806 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -0.3, -3.3, -5\/6, 0?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 38*p. Let j(k) be the third derivative of -k**4\/24 + 76*k**2. Determine j(h(y)).\nAnswer: -2*y**2 + 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 6404?\nAnswer: -6400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27009617*o**3 - 8361531 wrt o?\nAnswer: 81028851*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163067 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d + 5. Calculate c(-6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90365 and 685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5 - 18*j**4 - 26*j**2 + j wrt j.\nAnswer: -60*j**2 - 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-1280))\/((-3)\/(-16)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57524 > 57576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6599, -6598, -6599, -6602?\nAnswer: -6607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/90)\/((-21)\/(-9) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -2. Suppose 0 = -m*l + 2*l. Suppose 5*n - 4*n - 9 = l. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*o**2 - 2\/15*o**3 - 52\/5 - 118\/15*o.\nAnswer: -2*(o - 13)*(o - 6)*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*y**2 - 83*y**2 - 175*y**2 + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 441 and 4.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.254 - -0.4.\nAnswer: 3.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46835 + 140850 - 3*p**2 - 47175 - 46840 + p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/133 - -653\/13832. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182630516*u**6 - 2*u**4 + 189362624*u**2 wrt u.\nAnswer: 21915661920*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1187.229019 to zero dps.\nAnswer: -1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28589*t + 11125 with respect to t.\nAnswer: 28589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3680 and -11\/736.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -508160 times 0.3\nAnswer: -152448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*f + 6009 - 6009 + 11*f.\nAnswer: -140*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + 4. Suppose y = -y + z. Suppose -d + y = 2*c, d - c = 2*d - 22. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) 2\/9 (c) -1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 54*z**2 + z + 7. What is the units digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139719141 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147927332 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201, 165, 117, 57?\n\"Answer: -6*i**2 - 18*i + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q - 3636600 = 32*q. List the prime factors of q.\nAnswer: 2, 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261988 and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 4*c + 5. Determine o(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98691142 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 + 615827.17?\nAnswer: 615827.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 7, n: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -0.1. Let r = -13.13 - -13. Let m = 0.17 + r. Sort a, 4, m.\nAnswer: m, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-4 - 3*(sqrt(56)*2 + sqrt(56)))\/(((sqrt(72) - -6*(sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72)*-1)) + sqrt(72))\/((sqrt(108)\/sqrt(2))\/sqrt(6))).\nAnswer: -17*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73.959 - 80.26. Let p = 6.4 + s. What is p rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20584, 39826, 59068, 78310, 97552?\n\"Answer: 19242*i + 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650028 is divided by 1407.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/28 + (-78)\/(-182). Solve 2*d + 3*u = -5, -2*u + 10 = d - h*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b37e - 107?\nAnswer: b277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-3*(6 - 8)\/(-6)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from ddeeeededeedddeedde.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 + 275. Suppose i = 8*j - 3*j + n, -20 = -5*j + n. Calculate the smallest common multiple of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*j = 0, -5*v - 4*j = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 - 3)*(39*i + 8*i + 16*i).\nAnswer: -945*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 54, 0 = g + 2*g - 4*z + 4 + 27 + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9407860 and 54834384?\nAnswer: 1919203440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85261, -341146, -767621, -1364686, -2132341?\nAnswer: -3070586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from qqqh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -965, -4440, -10231, -18338, -28761?\n\"Answer: -1158*j**2 - j + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*136\/816\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 9*f + 1. What is z(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, 144, 315, 562, 891, 1308?\n\"Answer: b**3 + 29*b**2 + 7*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26205 times 0.3?\nAnswer: -7861.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = 3*y + 96, -5*w + 9807*y - 9812*y - 15 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + w**4 + 50*w**3 + 47*w**3 - w**2 - 99*w**3 - 12 to d*w**2 + y*w**4 + l + z*w**3 + k*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 8, 0 in descending order.\nAnswer: 20, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 29717?\nAnswer: 89151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7354 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1439, -5, 7, -0.14?\nAnswer: -1439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -219, -373, -571, -825, -1147, -1549?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n + 18. Let x = n + 9. Let q = -98.6 + 98.9. What is the second biggest value in x, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*h**2*r**2 - 182*h*r**2 wrt h.\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, 4, -7, -5, -7.47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*n = 1756, -t + n = 2*t - 1040. List the prime factors of t.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**4 + 3*w**4 + 4*w**4)*(1 - 1 + w) + (-6*w**3 + 2*w**3 - w**3)*(-6*w**2 + 0*w**2 + 4*w**2).\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {g: 11, z: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 971 - 931. Solve -6*o - 2*o = -z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {b: 3, e: 2, q: 1, a: 5, u: 2, m: 6}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 63*i**2 - 4. Give s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2*r + 1\/3*r**3 + 0*r**2 + 0. Let i(d) be the first derivative of -d**3\/3 + 2. Calculate p(i(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-443)\/(-75) - (-1626)\/(-6775).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 11*w + 1615 = 15*w + 1785 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -18205.\nAnswer: -1\/3641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 - 7*v. Let h(u) = -3*u**2 - 4*u. Let n(b) = -15*b**2 - 21*b. Let k(f) = 21*h(f) - 4*n(f). What is k(x(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + s + 0 - 4 + (-2 + 4 - 5*s + 4*s)*(-64 - 22 - 9))*(2*s + 2 - 2).\nAnswer: 192*s**2 - 376*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.250961 and -0.3.\nAnswer: 0.3752883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*j - 63*j**2 + 37*j**2 - 81*j + 26*j**2 - 3240*j**3 wrt j.\nAnswer: -19440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573719.2 minutes in seconds?\nAnswer: 34423152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -307 by 1.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 2507?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -5*u + 3*t, -5*t = 2*u - 24. Suppose -u*y + c + 56 = 5, -2*c = 5*y - 123. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 3*m - 7. Let o = -10 - -5. Let q be z(o). Let r = -37.5 - -37. Which is the nearest to 0? (a) q (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 169 - 139 = 5*r, -108 = -16*o - 4*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14*l**3 + 2*l**2 + 80*l + 3. Let d(a) = 18*a**3 - 3*a**2 - 81*a - 4. What is 3*d(b) + 4*g(b)?\nAnswer: -2*b**3 - b**2 + 77*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 3*(-5)\/150*-4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.95 and -0.8677.\nAnswer: 13.0823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/49)\/(u*u*u\/(u**(-34)*u)) assuming u is positive.\nAnswer: u**(-1762\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0)*5\/(-10). Suppose q = -2*t - 4. Sort t, -5, -3 in descending order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l = l - 10, 0 = -4*l + 20. Suppose 2*y - 882 - 2778 = q. What is y rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Let z be 9 + ((-3)\/(-3) - 2). Let g be (-4 + 3)\/1 + 1. Solve w - q*w - z = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3747 - -3706. Is -30 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -12011543?\nAnswer: -12011545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3458 - 0.3458. Sort 49, l, 4.\nAnswer: l, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Suppose -2*r = 4, l*w = -2*r + 5*r + 11856. Suppose w = 2*a + 211. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1) + (-1 + -5 - -9). Let s be ((-1)\/2 - -5) + h\/(-4). Suppose s*g - 63 = 3*o - 2*o, 0 = -2*g - 5*o + 59. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 5*n**2 + 4*n + 12. Let m = 142 - 138. Let z be i(m). Let a = z - -118. Solve -6 = a*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -72. Solve 0 = g*f + 2*w - 4, 2*f + 3*f = w - 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.1 (b) -2 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100110 - -1212202?\nAnswer: 1112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 19, -20, -12, 3 in increasing order.\nAnswer: -20, -12, 3, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 54*o**2 + 4*o - 232. Let t be j(54). Is t at least 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - v**2)*(5*v - 5*v - 4*v) + (3 + 3 - 4)*(5 - v - 5)*(2*v**2 + 11*v**2 - v**2).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 39 = -36. Let h be 33\/v + (-2)\/10. Let m be 28\/21*(-3)\/h. Sort m, -5, 2 in increasing order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 17010 divided by 7?\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 31 + -42 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1266560 and 890550.\nAnswer: 56995200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2574 (base 13) to base 9.\nAnswer: -7276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -5*t + 14*l + 13, 4*t = 4*l + 12. Find the second derivative of -77*s**3 + 56*s - 14*s - t*s wrt s.\nAnswer: -462*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p - 3. Let s be n(2). Suppose i - 2 = -s. Let b(k) = -5*k**2 + 3*k**2 + 5*k - 9*k - 3. Determine b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3201*s + 4. Let a(c) = -c**3 + 7*c**2 + 9*c - 12. Let l be a(8). Let i be v(l). Round i to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 4*b**3 + 6*b**3 + (17 - 3*b - 19 - 12)*(b**2 - 1 + 1).\nAnswer: 3*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414888 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 2. Let j(p) = 3*p**2 - 3. Let h(s) = -3*j(s) + 5*n(s). Let l be h(-1). Suppose l*f = 5*f - 15. Solve f*o - 4 = 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04482411 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-477)\/(-371) - (-5269472)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13107 - 1470. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111573 and 1547601.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 28889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 8*w + 1. Let l be (-16)\/48 + 46\/(-6). Let v be s(l). Let i = 0 + 0.1. Which is the nearest to i? (a) -0.5 (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*q + 63 = 0, 3*n - q = -0*n + 63. What is the greatest common divisor of 105 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = 75. Let n(g) = -g**3 + g - 1. Let b be n(1). Let o be c*-1*b\/3. Solve -5*a + o = 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = 9. Let x be 2 + 1 + 9\/a. Let t be (-8)\/20*40\/(-56). What is the second biggest value in x, 1\/2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2. Let a(s) = -10857*s + 14. What is a(p(b))?\nAnswer: -32571*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f + 27. Let o be j(5). Let w = 14 - o. Suppose 0*t = 2*k + 4*t - w, 0 = -4*k - 3*t + 69. Solve 4*d - 6 + k = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10766, -10165, -9562, -8957, -8350?\nAnswer: -7741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 67.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16140?\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 17 = -4*b + 2*l, 11 = 2*b - 5*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/378 and -47\/474.\nAnswer: 29862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 6. Let w be -1*1 - (-30)\/(-6). Let t be j(w). Suppose 2*s = f - 8, 8 - 2 = -3*s. Solve -5*x = -5*y + 10, 6*y - 2*y + 2*x + f = t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/8)\/((-3)\/30). Suppose 3*s + 4 = 4*s - 4*d, 0 = -3*d + 3. Suppose -w - 5 = -2*w. Solve -5*y + 1 = -v, w*v + i = 3*y - s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 2:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 2.9. Let t = d - 2.5. Let f = 30 + -31. Put f, 2\/9, t in ascending order.\nAnswer: f, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 17*y - 6. Suppose 4*s - 54 = 2*v, -s + 2*v + v + 26 = 0. Let u(d) = -d**2 + 6*d + 2. Give s*u(x) + 4*w(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478a (base 11) to base 10.\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.712884 to two dps.\nAnswer: 15.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -51, -74, -97, -120, -143?\n\"Answer: -23*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (20\/12 + 15\/(-9)). Let h(t) = -286*t**3 - t**2 + 23*t + 23. Let z be h(m). What is the greatest common divisor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 2*x + 16*x + 2*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -479381389.9.\nAnswer: -479381389.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17391 and 687735?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.939363 minutes in hours?\nAnswer: 0.46565605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2319 - 2311. Which is greater: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045001 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*u + 345 = 0, 51 = t - 3*u - 0*u. Suppose -2*g = -9*g + 504. Suppose t = z - 2*z + 2*c, -c = z + g. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29646594163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/((1\/1)\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -30431134140?\nAnswer: 30431134214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 462.6 - -33.4. Let g = o + -432. Which is the second smallest value? (a) 2 (b) 0.3 (c) 3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -235, -470, -703, -934, -1163?\n\"Answer: d**2 - 238*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*v - 567*v = -649 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28930 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1234659250 to the nearest 1000000.\nAnswer: -1235000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2055 - 110*s - 2055 to the form f + z*s and give z.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(192)).\nAnswer: 8 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 13*g - 3583. Let p = -276 + g. Solve -3*x + 14 = 5*t - p*t, 3*t + 5*x = 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5153043 - 251?\nAnswer: 5152352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11188096 divided by 1398512\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/7)*l*l**(-8)*(l\/l**(2\/7))**(-8\/3) assuming l is positive.\nAnswer: l**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/(-42) + (-448115)\/(-399)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81827451 - -81827511.087187. Let i = 8.921843 + r. Let b = -69 + i. Round b to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 4*j - 22 = -9*d, 4*j = 2*d + 28. Solve -w - 4*w + 4*b = d, 5*w + 5*b - 25 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2567709*o + 2567704*o + 10*o**2 + 13*o**2.\nAnswer: 23*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048275574 to four decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyykyykyykctccc. What is prob of picking 1 t and 2 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from elejjllljle?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987 is divided by 127?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -466281\nAnswer: 7\/155427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2358 + -2248. What is the remainder when p is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/8 + (-40)\/64?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d. Let r(y) = 113*y - 1410*y**2 - 1355*y**2 - 117*y + 2632*y**2. Give p(r(v)).\nAnswer: -665*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*u**3 + 189*u**3 - 29*u - u**2 + 30*u to the form p*u**2 + b*u**3 + l + r*u and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q + 216. Let d = q - 38. What is the least common multiple of 14 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-2)*(-166)\/332?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5483295 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 greater than or equal to 339790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -351, -784, -1217, -1650?\n\"Answer: -433*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -153*z + 11052. What is y(71)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*x - 35*x = 0. Solve 6*i - 60 + 78 = x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 + 8 + -1)\/(-11 + 9))\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100640*f**3*p**2 - 23*f**3 + 50*f**2*p**2 - 2*f**2*p + 2*f**2 + 2*f*p**2 + 40*f + 4030*p wrt p?\nAnswer: -201280*f**3 + 100*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2932 * 792.9\nAnswer: -2324782.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -15. Suppose 96 = c*k + m, -3*k + 4*m + 0*m + 53 = 0. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983238.\nAnswer: 2, 3, 37, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -2. What is the units digit of ((-8)\/k)\/(1\/(-25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 2. Let q(p) = p**3 - 11*p**2 - 13*p + 15. Suppose 0 = 5*o + 1974 - 2034. Let k be q(o). What is v(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/(((-4292)\/1591)\/(-58)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1455.7 to the nearest 10.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.033205558 - -0.586792782. Let h = -0.62 + v. What is h rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l**3 - l**2 - l + 1. Let x be f(1). Suppose -4*a - a = 105. Let g = 10 + a. Is x at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**2 + 27*a**2 - 15*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5 + 1. Suppose 18 + 0 = 2*r. Let m be r\/n*(-6)\/9. Put m, 4, 5 in ascending order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*h**3*q**2 - h**3 + 2*h*q**3 + 177*h with respect to q.\nAnswer: 76*h**3*q + 6*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3797.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/1 + -4 + 12. Let k be (1 + (4 - i))*-1 + 3. Suppose 6*b - k - 6 = 0. Solve -b*c - 6 = 3*h, -3*h + c = -0*c + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2725, -13404, -32039, -58630, -93177, -135680, -186139?\n\"Answer: -3978*g**2 + 1255*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 874821662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(-1 - 0). Let n = 0.28 - 0.2. Let j = -0.22 - n. Which is the third smallest value? (a) u (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238784 divided by -4?\nAnswer: -59696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 467759, 467760, 467761?\n\"Answer: p + 467758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 1287.652895886\nAnswer: 1287.552895886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1848.\nAnswer: -5\/1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*4*-3. Let h(q) be the second derivative of 0*q**2 + 0*q**3 - 1\/12*q**i - q + 0. Let g(z) = -2*z. Determine g(h(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 2, s: 6, d: 4, b: 1, m: 4}. Give prob of sequence ld.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -3)\/((-12)\/30). Which is the nearest to -1? (a) -2 (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4990 is divided by 89?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*v**5 + 48*g**2*v - 3*g**2 + 3*g - 5487455*v**5 + 20*v + 2 wrt v?\nAnswer: 60*g**2*v**3 - 109749100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:26 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -51\/8*w - 63\/4 - 9\/8*w**3 + 67\/8*w**2 - 1\/8*w**4 = 0.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 37*v + 27. Let m be b(-24). Calculate the highest common divisor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21905 - 4.2\nAnswer: -21909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:53 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1880 = -5*s. Let q = s - 332. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 11*n**2 + 16*n + 19. Let z be m(9). What is the greatest common factor of 5 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 24. Let f(x) = -x**2 - 6*x + 4. Let y be f(s). Solve -3*p + 2*r = y*r - 16, -4*r + 12 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 2. Let z be p(0). Let a be ((-1)\/z)\/(40\/(-32)). Sort -0.3, a, -3, 2\/9 in increasing order.\nAnswer: -3, -0.3, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a - 60. Let d = 28 - a. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 127, -990, 325?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604109166*f + 604109166*f - 22*f**2.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843164?\nAnswer: 2, 3, 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000162160551 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/54862347 and -19\/21?\nAnswer: 384036429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*-3*3\/(-9)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6974.61584118 and 0.3?\nAnswer: 6974.91584118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/4 (c) -4\/11 (d) -68 (e) -800 (f) 4 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4\/4 - 2*k**3 - 5*k**2\/2 + 11*k + 13. Suppose -2*w + 8 = 18. Calculate the remainder when 31 is divided by a(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311 + 315. Find the third derivative of -n*i**3 + 3*i**4 + 5*i**3 + 17*i**3 + 0*i**3 - 18*i**2 - 1 wrt i.\nAnswer: 72*i + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 4*i - 68, -3*m - 2*i + 86 = 0. Suppose 2*s + 7*q - 3*q = -m, 4*s - 5*q = 0. Which is the second smallest value? (a) s (b) 2 (c) 3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + 0 + 0 + 299 + -294. Let g be 2\/(-7) - 46\/(-14). What is the second derivative of -4*b**g - 39*b + 6*b**3 + 26*b**3 + w*b**3 wrt b?\nAnswer: 258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 2 - 5 - 3*g - 2*g**3 + g - g**4 + 0*g**3 in the form i*g + o*g**4 + j*g**3 + y + b*g**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.564987 years in centuries?\nAnswer: 0.05564987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 70*a**2 + 150*a + 2695. List the prime factors of b(-20).\nAnswer: 5, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j - 7*j + 9*j + (-4*j + 3*j + 3*j)*(-1 + 3 - 4) as b + c*j and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98755 less than 98753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6)\/i*i*i*i)**(2\/75) assuming i is positive.\nAnswer: i**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5 + j - 34 - 6*j. Suppose 11 = 3*h - 4*l, -5*h - 2*l - 7 = -34. Let y(q) = -3*q - 19. Let s(n) = h*b(n) - 8*y(n). Determine s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -5. Let p(w) = 3*w**2 + 10*w + 7. Let m be p(j). Let l be (2 - -2) + -2 - -20. What is the greatest common factor of l and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -4*u + 70. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - 11*k - 4. Give m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -27*d - 87. What is p(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 - 25*y**3\/4 + 81*y**2\/4 - 83*y\/4 + 7.\nAnswer: -(y - 1)**3*(y + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*p - 137 - 163, 0 = 5*p - 3*k + 335. Let j be 5 - (522857*p + -5). Round j to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19673304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(7\/6))\/r*r*r\/r**(-3\/7)*r)\/(r\/r**4*r*r**(1\/7)))**(1\/4) assuming r is positive.\nAnswer: r**(271\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3469*h*i**3*s + 2*h*i**2 + 13*h*i*s - 45*h*i + 9*h*s - 4100*i**3*s - 2*i**2*s - 9*i**2 + s wrt i.\nAnswer: -20814*h*s - 24600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97009, 194015, 291007, 387979, 484925, 581839, 678715?\nAnswer: 775547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115442, -115446, -115460, -115490, -115542, -115622, -115736, -115890?\n\"Answer: -z**3 + z**2 - 115442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 11649?\nAnswer: -11654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:33 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284490 is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i. Let d(g) = -6*g + 2. What is o(d(n))?\nAnswer: -36*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 6496.\nAnswer: 6496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 8809?\nAnswer: -8809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmig when four letters picked without replacement from {k: 2, g: 1, m: 1, i: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*p - 8*p - 10 = 0, -5 = -p. Put r, -2, 1 in increasing order.\nAnswer: r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(-13)*g))**(-13)*g**(2\/3)*g**(-29))**28 assuming g is positive.\nAnswer: g**(-17668\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, 5.\nAnswer: -10, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 6. Let z(f) be the third derivative of f**5\/20 + 5*f**3\/6 - f**2. Let u = 66 + -72. Give u*z(m) + 5*d(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2521 and 55898133.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -529\/185, -1, -335, -1\/2 in descending order.\nAnswer: -1\/2, -1, -529\/185, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + (-13 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -58*k**2 - 3*k + 5. Let c(y) = 29*y**2 + y - 3. Let z(s) = 7*c(s) + 3*v(s). Let u be z(-3). Suppose -51 - u = -4*t. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h - 3*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -597710 rounded to the nearest one thousand?\nAnswer: -598000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.09 + -0.09. Let k = 6 - m. Let g = k + 0. Put 0.4, g, -0.5 in ascending order.\nAnswer: -0.5, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x - 13. Let w be i(-22). Let t = 198 - w. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 1, 0, 10\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = -33. Let x(g) = g**2 + 2*g - 2. Let w be x(2). Differentiate -12*s - 6*s**3 - w + u*s with respect to s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3652.307mm in kilometers?\nAnswer: 0.003652307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/3 - -8. Let t(h) be the second derivative of -l*h**3 + 0 - h**2 + 1\/10*h**5 - 2*h + 1\/6*h**4. Determine x, given that t(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19750 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231\/2 + -148. What is the common denominator of 586\/(-40) - (-4)\/10 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Let u = 4 + q. Put 5, u, 4 in increasing order.\nAnswer: 4, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48349, 96742, 145149, 193570, 242005, 290454, 338917?\nAnswer: 387394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3 - -7))\/(1 - 2). List the prime factors of 20\/(-5) - (2 + -76 + b).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799757.\nAnswer: 7, 43, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 25 + 3)*(-w**4 + 1 - 1 + w**3) in the form d*w + a*w**2 + m*w**3 + y*w**4 + g and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -189.5.\nAnswer: 189.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(2 - 9\/3). Suppose 4*v + s = 17, -2*s - 32 = -4*v + 2*s. What is the highest common factor of v and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 15994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 253\/152 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b + 1. What is the units digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-14 - -11)) + -2 + 2 - (-20 + 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33360952*k - 6406467 wrt k.\nAnswer: 33360952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = -n, -60*n - 5 = -59*n. Solve -5*d + 2*w + 1 = -0, 5*w - k = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 166.00276. What is r rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801404793?\nAnswer: 3, 7, 37, 114601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-3)\/5)\/((-15688392)\/107640 - (-4)\/(-78)).\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*i + 6. Suppose 4*p = p. Put -2, p, i in descending order.\nAnswer: i, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 65*l**2 + 6*l + 74. What are the prime factors of z(-5)?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 2*p**2 - p**3 + 4*p**2)*(3 - 3 - 3*p**2).\nAnswer: 3*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g + 20 = -101*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 7*v + 5. Let c be x(6). Let h = c - -4. Suppose -3*b - 2*w = h*w - 4, 14 = 4*b - 2*w. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/12 + 4*p**3\/3 + 7*p**2\/2 - p. Let t be x(-7). What is the first derivative of 4 - 2*r**2 - 1 + t wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-28 - (-8 - 2)) - 102?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*a + 16 = 0, -2*i + 7 = 2*a - 1. Suppose 5*t + 38 = i*s + 8, 4*s - 46 = 3*t. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -8 - 10 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/513 and 22\/81.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 283887948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 2139135*t**2.\nAnswer: 3*t**2*(t - 713045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443 is divided by 480.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*q - 10 = 0, 0 = -2*y - 0*q - q + 2. Suppose 7*b = y*b + 3*u + 233, -5*u + 133 = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -40. Suppose 3*z = 3*p + 24, -5 + 33 = 3*z - 2*p. What is the least common multiple of r and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = 3*h. Suppose -h*j = 4*k - 0*j - 4, -4*k + 4*j + 40 = 0. Solve 0 = -3*c + 2*m + 14, -c - m + k = -2*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**3 + v**2 + 18*v - 32. Determine p(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4192 or -3355?\nAnswer: -4192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 14, 7, 6, 11, 22, 39?\n\"Answer: 3*d**2 - 22*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -273655230 divided by 54731046\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 2*c, 0 = -c - 0*z + 4*z + 17. Suppose -2*k + a + 14 = -2*a, -c*k - 4*a + 35 = 0. Suppose -10*i - 60 = -k*i. Which is smaller: i or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t - 3*t)*(7 + 5 - 13).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:28 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27958 is divided by 9281?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 - 48*y - 51 = 0. Calculate y.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.2 - 20. Which is the second smallest value? (a) -0.12 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07483 + 1320424424.\nAnswer: 1320424423.92517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 97, -4, -17 in increasing order.\nAnswer: -17, -5, -4, 2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-52)\/12 + 4)*0. Suppose -2*o + 557 + 21 = q. Suppose 707 = 5*k - 3*g, 2*k - g - o = -6*g. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4383 - 3573 = 253*b - 11*b + 30 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1551143*i**2*s + 28*i**2 + 2*i - 134813*s - 57 wrt i.\nAnswer: 3102286*i*s + 56*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 108. Suppose 6*t = 3*t + m. Suppose 2 = -4*u + t. Solve 3*q + 4 = u*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2 + 34788018*d - 100850516364027 = 0.\nAnswer: 5798003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2*-1*1*1)\/((sqrt(180)\/sqrt(3)*-1)\/((sqrt(10) + sqrt(90))*6)) + 3.\nAnswer: -48*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -100783?\nAnswer: -100782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - 2*sqrt(140))\/(-4*(sqrt(5) + sqrt(45))))**2*3.\nAnswer: 189\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 + 3.04. Let j = -17.2 + p. Let o = j - -14.004. What is o rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 307*f - 1338. Let l be k(-149). Let w = 1 + 1. Let i be (-25)\/(-3) - w\/6. Solve -4*n + l*b = 1 + i, -4*n = 2*b + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 9 + 25. Determine u, given that -6*u + u**3 + 555 + u**z - 555 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 26*g**3 + 10*g**2 - 11634*g + 42. Let c(l) = -5*l**3 - 2*l**2 + 2326*l - 8. Give 16*c(f) + 3*z(f).\nAnswer: -2*f**3 - 2*f**2 + 2314*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4*z**2 + z + 3. Give b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = -292. Suppose h + 209 = -o + 136, 0 = -4*h + 24. Let q = n - o. Solve 2*y - q*y - 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m - 76. Let o be h(13). Solve 5*b - 2*v = -9, -v - o = 4*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u + 4\/15*u**3 + 1\/3*u**4 - 3\/25*u**5 + 0*u**2 + 0. Factor z(m).\nAnswer: -4*m*(m - 2)*(3*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/7*f**3 + 62\/7*f**2 + 100\/7*f + 48\/7 = 0 for f.\nAnswer: -4, -6\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -3\/2 (c) -26524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11399 + 11401. Sort i, 1, 272, -4 in descending order.\nAnswer: 272, i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-8)*((-39)\/(-9) - 3). Solve 2*b + 3 = x, -t*b - 36 = 2*b + 4*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 160553701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + 15*f**2 + 55*f + 47. Let a be v(-4). What is the greatest common divisor of a and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 1 - (-255 - -257).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5280)\/792*15\/(-4)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let l(f) = -7*f + 7*f + 5*f. Determine u(l(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 8*v - 7. Let k be y(7). Suppose k - 9 = -3*q. Suppose -9 = -q*n - 0. Solve -2*t + n*o + 2 = 0, -3*o + 6*o + 37 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1415 divided by 283.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1 + (-24)\/27). Is 2 a factor of 3\/v + (-11)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1. Let m(d) = 120*d**3 - 5*d**2 - 55*d + 40. Let y(u) = 60*u**3 - 2*u**2 - 22*u + 21. Let s(z) = 2*m(z) - 5*y(z). Calculate -s(w) - 25*t(w).\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -974423 divided by -1333?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**2 - r**3 - 2 - 69*r**2 - 8123*r**4 + 8188*r**4 wrt r.\nAnswer: 1560*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(200)\/(sqrt(40)\/sqrt(4)))\/sqrt(4))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91461, -90746, -90031, -89316, -88601?\n\"Answer: 715*n - 92176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 14*x - 21 = 0. Suppose -x*r = -r - 4. What is the hundreds digit of (-1)\/r*(-564 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 - 3*v - 10. Let d be f(-7). What is the second derivative of 11*b**4 - 2*b + 3*b - d*b wrt b?\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3)*1\/(-2). Suppose f + 4*d + 18 = 0, 5*f = 2*f - 2*d - 4. Let v be f\/((-20)\/6 + 0). What is the closest to 0.1 in v, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 7*y**2 + 6*y + 6. Let m be l(-6). Let g be 15\/m*2*(-5 - -2). What is the remainder when 22 is divided by (42\/g)\/((-8)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 71*q**2 - 595*q + 30. What is o(13)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-3\/2)*p)**11)**(-2\/41))**(-2\/173) assuming p is positive.\nAnswer: p**(154\/7093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -122889 not equal to -122886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.760033kg to micrograms.\nAnswer: 1760033000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6469 - 6469. Let r(q) be the first derivative of 0*q**2 + 0*q - q**5 - 3 - 25\/4*q**4 + d*q**3. Suppose r(t) = 0. Calculate t.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.66902 rounded to 0 dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1024.554 + -407.5\nAnswer: -1432.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 30 = 2*f, 0 = -f + 2*f - 1. Let z = w - 8. Is z at least 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-336)\/(-33) + (-4)\/22.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 + 13.24. Let y = -12 + z. Let f = -75 + 221\/3. Which is the closest to y? (a) 5 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -235. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239132 divided by 626?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d - 19. Suppose -d*f - 47 = 353. Let y be (f\/3)\/(6\/(-45)). Round y to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2 (c) -1 (d) -2\/7 (e) 2.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -47*a**3 - 19*a**2 + a - 8. Let k(i) = 46*i**3 + 25*i**2 + 10. Give 4*b(f) + 3*k(f).\nAnswer: -50*f**3 - f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30767702 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91*3453.\nAnswer: 314223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 2 + 75*h**3 - 24*h**2 + 6*h**2 + 18*h**2.\nAnswer: 75*h**3 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 51*p + 18 = 2*r, 4*p - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231217 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -42, -77?\n\"Answer: -35*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 5*o + 5. Suppose -3*r = -4*j + 4 + 68, 5*r = -4*j + 72. Let c be (30\/j)\/(1\/(-3)). What is g(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:56 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 6142.856.\nAnswer: -3071.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011110 + -110101111?\nAnswer: -1101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 151699155 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181418*y**2 + 181433*y**2 - 2*y**3 - 5*y**3 - 2*y to the form t*y + p*y**2 + l*y**3 + o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 20*g - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.25 + 0.05. Let x = -1.288 - i. Let t = x - -1.308. What is t rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 659924, 659929, 659938, 659951?\n\"Answer: 2*z**2 - z + 659923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*i - 365788 + 365780, -2*i + 2*t - 4 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 + 6*m + 3. Let z be w(5). Let d be 8\/6*23\/z. What is the third smallest value in 2\/9, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + k - 16 + 61 = 0, -4*k + 20 = 0. Let b be 0 - (a\/(-5) - -3). Solve 2*w - 10 = -b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -11. Let f = o + -14. What is the remainder when 58 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 17222 + 430. Let k = -3687 + s. Round k to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3422.\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.63 - -0.33. Let m = o - -13.05. Round m to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 11*s + 20. Let v be l(-9). Suppose -3*c = r - 38, -c + v = 4*r + 4. Solve 0 = -5*w + 2*o - 0*o - c, 5*w + 5 = 5*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let c(z) = -9*z + 1. Suppose 5*b + 7 = 52. Let g(h) = -b*h - 15 + 13 + 8*h + 20*h. Let j(k) = -5*c(k) - 3*g(k). What is p(j(r))?\nAnswer: -288*r**2 + 48*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 0.5. Let m = 412 + -406. Suppose -219 = m*j - 249. What is the third biggest value in 0.9, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 236608037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 568 + 588 = 0. Suppose r + 11 = z*f, -r - 8 = -3*f + 1. Which is the second biggest value? (a) -3 (b) -4 (c) f (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 3*l + 9. Suppose -3*n = -8*n + 40. Let a(x) = 5*x**2 - 8*x + 26. Let k(u) = n*h(u) - 3*a(u). Find the first derivative of k(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.11 + 1.11. What is the closest to 2\/57 in -2, 4, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -12. Let q = v - 15. Solve q*h**2 + 2*h - 20 + 0 + 13*h = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.5 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249.3527 - -13.8.\nAnswer: 263.1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 - 490. Solve k*b - 9 = -53 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*v + 119*v - v**2 + 106*v - 545*v + 112*v + 114*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921 = 158*n - 22 + 1155 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147.54 + -148. Let n = -0.36 - z. What is the third biggest value in 36, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/8, 4, -1, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*f - 2*y + 185, 4*y = 3*f - 111. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 11. Let p be b(2). Sort 0, 46, p, 4 in ascending order.\nAnswer: 0, 4, p, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4893 + 229981\/47. Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -32. Let t be (5\/(-130))\/(q\/(-8)). Which is the closest to 1\/2? (a) t (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 1 h when three letters picked without replacement from hgtdthtggthhhhgdht.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*m - 7 = -17, 0 = 4*j + 4*m - 28. Let u(z) = 3*z**2 + 4*z - 5. Let n(x) = 14*x**2 + 15*x - 21. Let b(p) = 2*n(p) - 9*u(p). Calculate b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53310 and 720.\nAnswer: 1279440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3971 + 2321. What is the smallest common multiple of 330 and a?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 2\/13 (c) -2.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -12987175.\nAnswer: 4\/12987175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/24*(-7389)\/5747.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83555*b - 20951*b - 9725*b - 1.\nAnswer: -114231*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*v + 6 - 20, v + 2 = 0. Let c be (-2)\/8 + (-42)\/f. Let a(r) = -r**3 + 6*r**2 - 5*r + 12. Calculate the remainder when 32 is divided by a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-10)*40\/(-12). Let m = -4 - o. Suppose -u + 5*k = -12, 20 = 5*u - k + m. Which is the nearest to -2\/3? (a) 0 (b) 3\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 27*l**2 - 2783*l + 221. Let b be n(103). Sort -5, 2, 3, b in decreasing order.\nAnswer: b, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 106204?\nAnswer: 424816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 282*l + 965. What are the prime factors of w(4)?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - -1 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3363282 and 1794.\nAnswer: 77355486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 2)*(-9*i + 13*i - 9*i)*((-1 - 5 + 5)*(1 + 2 - 1) - 3 + 2 - 1 + 2 - 2 - 1) as j + k*i and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*k**2\/4 - 20787*k\/2 + 1890 = 0. What is k?\nAnswer: -1260, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, -2\/7, 0.038, 29\/3, -60?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3))**4)**(37\/3)*(p*p**5)\/p**(-2\/5)*p*p\/p**0*(p*p**(2\/5)*p)\/p assuming p is positive.\nAnswer: p**(-1039\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-126)\/(-4)))\/((-10)\/168*-12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4, 4*b + 5*s - 927 = -86. What is the remainder when b is divided by 105\/2 - 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:44 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 11*t**2 - 19. What is y(-11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 + 7*j**2\/2 + 8*j + 3. Let m be q(8). Solve 3*c + m = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96199.64 meters in nanometers?\nAnswer: 96199640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b94 (base 15) to base 12.\nAnswer: -57b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -160*(3 - 6619\/(-2)). What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 3:08 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988242774?\nAnswer: 2, 3, 47, 3504407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 40*t + 361. Let c(q) = -q**2 - 13*q - 121. Let p(w) = -11*c(w) - 4*l(w). What is the units digit of p(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1128 and 17\/42080886.\nAnswer: 168323544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -23.699, -0.5, -2\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**3 - 3*t**2 + 8*t - 6. Let o be a(1). Is 22 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(1 - -1)\/2. Let w be (d - -1) + -3 - -3. Suppose w = -2*b - b + 381. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1875698 and -31\/22508376.\nAnswer: 22508376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -53. Suppose -h + 2*u + 40 = o*u, h = 5*u + 19. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -40. Suppose z*j = 3*p + 6, 0 = -j - 2*p - 38 + 49. Solve t = -d - 3, 2*t = -j*d - 11 - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let q = w + 1. Suppose -31 = -j - 26. Solve -q = -j*p - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25 + 57 = 0. Calculate the remainder when 27 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3945 divided by -789?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let h be n\/6042*5\/10. Let f = 148045\/48336 + h. Find the common denominator of 57\/2 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/2 + 5*a**4\/2 - 4*a**3 + 2*a**2.\nAnswer: -a**2*(a - 2)**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 + v + 6. Let h be s(-3). Suppose -x = -h*d + 4*x - 26, -4*d - 24 = 4*x. Let a(k) = k**2 + 6*k + 3. Calculate a(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 21 = -19. Suppose -f - 5*j - u = -2*j, 5*j + 22 = f. Suppose 0 = -3*n + 3*p + 2*p + 34, 0 = f*n - 5*p - 16. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40063 + 5116. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 99*1*(-322)\/(-69). What is the third derivative of -w**2 - 5*w - 82*w**4 + s*w**3 + 8*w - 462*w**3 wrt w?\nAnswer: -1968*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 4*c**2 - 7*c**2 - c**3 + c as p + q*c**3 + x*c**2 + u*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h - 5. Let p(d) = 2*d**3 - 6*d**2 + 4*d - 2. Let x = 33 - 9. Calculate the remainder when p(h) is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.4127um in kilometers?\nAnswer: 0.0000003364127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -61, -98, -153, -232, -341, -486, -673?\n\"Answer: -k**3 - 18*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2153*a**2 + 2*a + 4. Let x(k) = 2151*k**2 + 3*k + 6. Give 6*j(y) - 4*x(y).\nAnswer: 4314*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 6 = -3*r + 5, 4*s = -16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 66 = 0. Suppose -y + l = 2*y. Suppose 2*n - 4*n - x + 8 = 0, -2*x - y = -5*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let h = l - -2. What is the derivative of 0 - h - 33*x + 2 + 29*x wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14118 + -56467\/4. Suppose 15\/4*z + y*z**3 + 15\/4*z**2 + 5\/4 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -18.44, -0.3, -0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and -0.045.\nAnswer: -27.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576*b + 15 = 579*b. Let f be (-1442)\/(-56) - b\/(-4). Solve f = 8*g - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + 36\/3. Let z = j + -6. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -4*n - 4*s - 24, n = 2*s. Sort n, -10, 2.\nAnswer: -10, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Find the first derivative of -3*v - v + 2*v + j*v - 2 wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, 16\/229, 1\/16, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 777 = -4*z, -12*r + 322 = -10*r + 4*z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*o - 1, 5*v - 12 = -o + 16. Let j = 17 - 15. Solve -o = j*f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 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 h(g) = 7*g - 5. Let w(k) = -8*k + 5. Let q(f) = 6*h(f) + 5*w(f). Let a = -90 - -94. What is q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Suppose -3*v = -m - y, 0*v + v - 2*m = 0. Let d(q) = q - 2*q**3 - q**v - q + q + 2. Let h(c) = c**2. Give -d(s) - h(s).\nAnswer: 2*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52850 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10830?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784712?\nAnswer: 2, 3, 74363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 3*c. Let u be y(3). Let d = -34 + 75. Let x = d - -13. What is the highest common factor of u and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4))**2*6 - ((4*sqrt(76))\/sqrt(4) - sqrt(19)).\nAnswer: -3*sqrt(19) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35963604 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 7*b + 24. Let j(f) = -27*f - 72. Determine -2*j(y) - 7*x(y).\nAnswer: -7*y**2 + 5*y - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45786 divided by -6.\nAnswer: 7631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1800*d - 9387*d - 3112*d + 117689 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27985.08nm to micrometers.\nAnswer: 27.98508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.23881 years in millennia?\nAnswer: 0.02523881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1326*p**3 - 6629*p**2 + 29*p - 182. Give s(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*k*o**2*z + 2*k*o**2 - 6*k*o*z**2 + 3*k*z**2 - 46*k wrt z?\nAnswer: 31*k*o**2 - 12*k*o*z + 6*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 5137?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 2526ad?\nAnswer: 2526ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**23\/g**(-2\/33))**(7\/4) assuming g is positive.\nAnswer: g**(5327\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 18 = 3*n. Factor -12*v**3 - 14*v**3 + 6 - 16*v**3 + 14*v + 44*v**3 + 10*v**n.\nAnswer: 2*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.018, 7\/5, -5, 0 in decreasing order.\nAnswer: 7\/5, 0.018, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 22*q + 5. Let k(d) = -d**2 + 27*d - 5. Let p(g) = -3*k(g) - 4*t(g). What is p(9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-60))\/((-1)\/((-20)\/(-8)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, -1044, -3211, -6252, -10167?\nAnswer: -14956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9417, 4, 8\/7, -1\/3, 9, -4 in decreasing order.\nAnswer: 9, 4, 8\/7, 1\/9417, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5561.7 + -5562.36622. What is x rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*n*w**2 - 16*c*n*w - c*n - 8*c*w**2 - c*w - 2*n*w**2 - 126*w**2 - 1 wrt w.\nAnswer: 6*c*n - 16*c - 4*n - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95 and 5990.\nAnswer: 113810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -437*q + 127*q - 353 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.6953 - -9.043. Let p = 591 + -591.587. Let h = t - p. Round h to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9610 + -9609. Let u be 5\/(-20) - 37\/(-4). Which is the closest to k? (a) u (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b + 401104027 + 317095973. What is b rounded to the nearest 1000000?\nAnswer: -103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-19))\/((-156)\/(-52))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*s - 12*s - 105 - 33 = 0. Let a = -1 - -3. Suppose -2*b + 18 = s*b - a*i, 3*i + 9 = 0. Solve 2*x - 2*v + 11 = x, b*x - 2*v + 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5399484.\nAnswer: 2, 3, 37, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -8775616179.\nAnswer: -8775616182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 70335*k**2 + 250933080*k + 25105386860 = 0 for k.\nAnswer: -6982, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 771*l + 9855. Calculate s(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3809 and -0.4.\nAnswer: 3808.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1010111100111111?\nAnswer: -1010111100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 6, m: 1, l: 4, n: 3, e: 2}. Give prob of sequence xa.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4 - 3 + q - 3 + 7. Let z be (-2 + 2)\/(-7 - -2). What is c(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:13 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195013626 to the nearest integer?\nAnswer: 13965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000979?\nAnswer: 3000979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 7. Give n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*l**2 + 3*i*l + 96*i - 2*l with respect to l.\nAnswer: -4*i*l + 3*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9756 divided by 4\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 5*h - 6 + 5*h + 9.\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 4, m: 5}. Give prob of sequence mj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2885931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 2*f**3\/3 + 5*f**2 + f - 30. Let n be s(-5). Let l(k) = -5*k. Give l(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*u + 61531, -158*m + 15385 = -157*m - 2*u. What are the prime factors of m?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4619 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75076 <= 4648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59047783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74757900 a multiple of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 32*n**2 + 4*n + 17. Let r(h) = 3 + 1 + 2*h - h + 0*h + 8*h**2. Let z(g) = 9*r(g) - 2*y(g). What are the prime factors of z(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7592*u + 4191 wrt u?\nAnswer: -7592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29234056.\nAnswer: 2, 347, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 6*z + 11. Let t be h(7). Find the second derivative of t*l - 7*l**3 - 5*l + 0*l wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -146*w + 95. Let n be d(0). Calculate the greatest common factor of 2565 and n.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-27)\/(648\/246))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -72. Let c(k) be the third derivative of 0*k - v*k**2 + 0*k**3 + 0 - 1\/6*k**4. Let w(m) = 2*m**2. Give c(w(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13201352 + -5?\nAnswer: 13201349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3, n: 3, s: 5, t: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104617721\/198448 + 99\/12403. Let t = v - 527. Let w = -41.1 + 41. Put -1\/8, w, t in descending order.\nAnswer: t, w, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 63 + 140 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 133e (base 15) to base 13\nAnswer: 1b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1938*p**2 - 417*p**2 - 4*p - 4*p + 8*p. Let f(s) = 2*s. Determine q(f(b)).\nAnswer: 6084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/100985 - -268317149\/201970. Let l = p - 42429\/32. Find the common denominator of l and -93\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 a factor of 2531648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/l**(6\/11) assuming l is positive.\nAnswer: l**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 at most as big as -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eef6 + e?\nAnswer: -eee8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 7, 1\/4 in decreasing order.\nAnswer: 7, 1\/4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y + 27 = -61*y. Let f(u) be the second derivative of 1\/3*u**4 - 2*u**2 - 1\/20*u**5 + 1\/3*u**y + 0 - 3*u. Give f(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(500) - 5*sqrt(500)*1)**2 + (-5 + sqrt(500) + sqrt(500) + -2)**2 + -5.\nAnswer: -280*sqrt(5) + 10042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 96. Let x be w(0). What is the derivative of 96*i - 2*i**4 - 6*i**4 - x*i + 69 - 3*i**2 wrt i?\nAnswer: -32*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*o + 11*o + 570. Suppose -2*d + 7*d - 5*u = 110, 3*d - 5*u = 62. Let k = o + d. What is the greatest common divisor of 81 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*u + 2*b, -3 = -u - 4*b - 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - o = -5*o + 20, 5*h = -2*o + 10. Suppose -3*x - 3*m + 78 = -6*m, h = -5*x - 3*m + 154. Suppose 32*b = x*b + 63. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8259570 divided by -45\nAnswer: -183546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 36.87006km?\nAnswer: 36870060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131450*y**6 - 40*y**2 - 178*y.\nAnswer: 15774000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 215\/(-13) - (249936\/(-12792) + 20\/1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -3680?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-1\/2)\/n*n))\/n*n)\/n**(-3\/4)*n\/(n\/(n**8\/n)*n*n)*n\/(n\/(n*n*n*n*(n**0*n)\/n))*n)**(2\/161) assuming n is positive.\nAnswer: n**(45\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/11 + 6096*u\/11 - 6098\/11 = 0?\nAnswer: -3049, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose 12 = -4*m - 3*v, 3*m + n*v = 2*v - 10. Let w = m + 5. Is -1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -11. Let o(a) = a**2 - 4*a - 7. Let q be o(6). Suppose z = d - 5*d + 16, -q*z - 20 = -5*d. Sort -5, v, z in ascending order.\nAnswer: -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -259811311 and -3.\nAnswer: -259811314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 + t - 6. Let i be -9*(3 + 11\/(-3)). Let c be k(i). Suppose -9 = -a - w, c = -2*w + 3 - 9. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+1858557888628\nAnswer: 1858557888629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -191451709\/2 or -95725854?\nAnswer: -95725854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2802*v**2 + 25*v - 1. What is the units digit of g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 - f + 8. Let d be s(8). Suppose 0 = 3*l - 122 + 20. Suppose d = 3*c - l - 56. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, -2\/9, 0.5, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f + 111 - 23\/2*f**2. Let b(l) = -3*l**2. Determine b(j(k)).\nAnswer: -1587*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 15. Let k = -5.754 - -0.754. What is the fourth biggest value in k, -0.5, 0.3, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 195762 from 0.07.\nAnswer: -195761.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 117.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u + 2*u)*(-2*u**2 - 3*u**2 + 4*u**2 + (-u + 2*u - 2*u)*(u + 0*u - 3*u)) + (0*u**2 + 3*u**2 - u**2)*(70*u - 24*u - 22*u).\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -13, -7, 7?\n\"Answer: 4*u**2 - 14*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3868652 - -30292652. What is d rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 190*i\/9 + 728\/9.\nAnswer: 2*(i - 91)*(i - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h - 12. Find n such that -2*n**4 - 4*n**3 + 4*n**h - 1 + 4*n + 1 - 2*n**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/17 in -0.5, 0, -387?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - r + 4 = -11, -3*p + 9 = 3*r. Is p\/2 + 1 + (-12824)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.25, -8\/3, -1, 0.4, 5, -0.1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -46805*d**2 + 1150*d + 115. Let j(v) = 3671*v**2 - 90*v - 9. Let h(o) = -115*j(o) - 9*q(o). Let z(g) = 2*g. Give h(z(p)).\nAnswer: -3680*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.69 + -39.69. Is 5.2 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:33 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*w + 0*w + 21*w)*(-2 - 1 + 2) - 2*w + 5 - 7 + 7*w to the form a + u*w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28159989 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2411*w**4 - 79852*w**3 + w - 152170318?\nAnswer: -28932*w**2 - 479112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*f + 25*f + 3*q + 24, 0 = -q - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 11 + (25 - 50) - -10 - 30\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*n - 2 = n, s = -3*n - 4. Let x be (1 + 3 + -7)*s. Solve l = -0*o - x*o, 5*l = -15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: -404826 divided by 65\nAnswer: -404826\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 526.6 + -736. Let x = y - -209. Which is the closest to -1\/4? (a) 0.3 (b) -1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625261?\nAnswer: 3, 37, 67, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5507197, -5507210, -5507223, -5507236?\nAnswer: -5507249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-27)\/(-5))*5\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15053577 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 4 (c) -0.4 (d) 220332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*g + 78451, 3*g = -2*i - 22674 + 74966. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/2559, -7, 0.1?\nAnswer: 2\/2559","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a*a*a*a**(-20)*a)**(-1\/22) assuming a is positive.\nAnswer: a**(49\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = -4*b, 5*b + 3*v = 3*b + 4. Suppose 2*n - 6*n - 4 = -4*q, -5*n + 3*q + 1 = 0. Solve 3*h - a = -3, -2*h - b = n*a + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 13592.\nAnswer: 40776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.017, -3, 1\/2, 1, -0.2 in decreasing order.\nAnswer: 1, 1\/2, -0.017, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(8 + -10)\/(-1 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-2 - 2*p + 2) - 50 + 50 - 21*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4596238 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 28. Suppose -3*t = -57 + b. Let s be 28\/126 + 773996\/t. What is s rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30 - (2 - 4)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*h + 38891, -47*q - 5*h - 64835 = -52*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 5. Let o(j) = -j**3 - 7*j**2 - j - 4. Let r be o(-7). Let f(s) = -2*s + 2. Let z = 7 + -11. Let q be 7\/(-4)*z\/(-1). Give q*f(b) + r*u(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1273716582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**3 + 4*z + 69. Let n(c) = 92*c**3 - 37*c - 621. What is -19*f(t) - 2*n(t)?\nAnswer: 6*t**3 - 2*t - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/26532576 and -125\/17334.\nAnswer: 79597728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxxxmxmxxxxxxmxxx. Give prob of sequence xxx.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let w = 0.487 + -0.587. Which is the smallest value? (a) d (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641839232.\nAnswer: 2, 163, 30763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 507 + 171 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9399\/5, 36\/5, 0.8.\nAnswer: -9399\/5, 0.8, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 3*u - 5*u**2 - 2 - 8*u - 8*u - 10. What are the prime factors of b(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**3 + 4 - 4 + 31*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 2*r + 14*r - 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 4:52 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*x + 1588439972, -3*x - 6*z + 1280932529 = 89602571. What is x rounded to the nearest 1000000?\nAnswer: 397000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16915 - -13105. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 + 8*f + 1. Let d be (-315)\/(-49) + (-6)\/14. What is the units digit of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 0.211536443?\nAnswer: -4.211536443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10))\/(14\/35). Suppose 5*q + 2*x - 110 = 0, -3*x - 22 = h*q - 79. Is 28 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -11)\/(26\/1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275 - -311. What is the highest common divisor of n and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**7\/252 - n**6\/180 - n**5\/60 - 2*n. Find m such that p(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 231*p**2 - 2*p + 2. Let m(j) = -1156*j**2 + 11*j - 10. Give 2*m(d) + 11*z(d).\nAnswer: 229*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-1890)\/(-49))*8\/14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*q**5 + q**5 - 981*q**2 - 52*q**5 - 981*q**2 + 1954*q**2 + q wrt q?\nAnswer: -12360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7886 - -26193. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/427 and -43\/8.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14678 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 5}. Give prob of sequence uu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. Let x(m) = 31*m - 1. Let l be x(1). Suppose -s + l = -k. Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51739045.\nAnswer: 5, 29, 356821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 37212.74, -2\/3, 0.1, -3 in decreasing order.\nAnswer: 37212.74, 2\/9, 0.1, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + 3. Let l = -1 - -1. Is l at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 2322?\nAnswer: 25542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (32\/10)\/(3\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*o**4 + 155*o**3 - 100*o**2 - 35*o = 0. What is o?\nAnswer: -1\/4, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/9 (b) -1 (c) 1734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 1\/1 - 2. Let d = -8 + 11. Suppose r = t + t, -d*t = -h. Solve 0 = i + r*x - 4, -5*x + 3*x = -5*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16551 is divided by 56.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 193*v - 8880. Give c(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzrzzzz. Give prob of picking 1 r and 2 z.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 108 = -0*m + 2*d, -d + 36 = 2*m. Suppose -4*b - m = -4, 3*w - 4*b - 28 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 426 - 435. Let p be (-6)\/144*4*v. Factor p*z**3 - 9\/2*z**2 + 3*z + 0.\nAnswer: 3*z*(z - 2)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 775, 1879, 3435, 5449, 7927, 10875?\nAnswer: 14299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/66 + (-365)\/(-6160). Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 3*l**4\/4 + l**3\/6 - 35*l. Let x(k) = -3*k**2. Give q(x(d)).\nAnswer: 81*d**4 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 77 + 57 - 62 = -14*q, -33 = -7*r + 2*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*p**3 - 1850*l**2*p - 71*l*p**3 - l*p**2 + p - 4 wrt p?\nAnswer: 6*l**2*p - 426*l*p - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:38 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(3276\/(-3808)) + -15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 c when four letters picked without replacement from {c: 4, t: 7, h: 1, n: 2, j: 5, f: 1}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 48?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/108 + (-38)\/9. Let x be -3 + 9 + 4 + i. Let b(f) = -16 + 16 - x*f. Let a(l) = 5*l**2. Give b(a(s)).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 - -12) + (40 - 48) + -1 - 54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.30023 - -3.3. What is r rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.092184\nAnswer: -0.184368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + -2)*(-8)\/10. Suppose 5*k - a*j + 12 = k, 4*k + 5*j - 24 = 0. Let v be (-46)\/(-130) + (-6)\/30. Sort k, v, 0.4 in decreasing order.\nAnswer: k, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5118581 times 0.2?\nAnswer: -1023716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 26332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from vubuuuvblbuububbuulu.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*d - 4*k + 10, -15*k = -11*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 214 + 196 = -2*d, -4*d = -2*n + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1637 or 40992?\nAnswer: 40992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2. Let q(r) = -r**2 - 3*r. Calculate h(q(c)).\nAnswer: 4*c**4 + 24*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232 at least as big as -207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10635515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -0.019, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(500)*-3 + sqrt(500))\/((1*sqrt(160) + sqrt(160) - sqrt(160)) + sqrt(640)*-1))**2.\nAnswer: 4225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*g - 33*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.22 - 4.6. Let k = i + 0.36. Which is the third biggest value? (a) k (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 71*w - 18. Let x be o(8). Calculate the greatest common divisor of 50 and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/(-75)*30\/(-36) - (-12)\/(-9)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0033 + -0.0273. Let u = -0.5306 - r. Put u, 48, -3, -0.4 in descending order.\nAnswer: 48, -0.4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuuihrnhi. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 172 = 4*g. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 6839 = -12201. Calculate the smallest common multiple of 112 and q.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - -18 - -20) + (2 - 2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p - 640. Let c(k) = -67*k - 1920. Give 14*a(l) - 4*c(l).\nAnswer: 2*l - 1280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*l - 5*k, -l + 0 = 3*k - 6. Let s(m) = 5*m + 6. Let n be s(6). Suppose g - 2*g - 124 = -l*z, 0 = -z - g + n. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 29*n + 8*n to w*n + a and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*-2)**2*-6 + sqrt(2057) + (5*(sqrt(2057) + 0))**2)*4 + (-1 + (sqrt(2057)*2 + 5 - sqrt(2057)))**2 + 3 + 0 + 0.\nAnswer: 132*sqrt(17) + 10304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 0 - 2 + 3. Let s(q) be the first derivative of 0*q - 17 + 1\/2*q**2. Calculate -4*s(d) - z(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22*g + 56. Let k(t) = 8*t + 20. Let p(o) = 5*j(o) - 14*k(o). Let l(f) = -24*f**2 + f. Calculate l(p(q)).\nAnswer: -96*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/(-21))\/((-6)\/56). Solve 24 = -5*u + o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -52*g**2 + 1190*g + 129. Let s be m(23). Let v(r) = 6*r**2 - 66*r - 29. Let f(u) = u**2 - 13*u - 6. Let q(z) = -11*f(z) + 2*v(z). Calculate q(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2887475?\nAnswer: 5, 115499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwuwwg. Give prob of picking 3 w and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 4 = 4*j, -3*j - 523*c = -521*c + 13 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 439627 + 1?\nAnswer: 439628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2699957837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -1082, -1085, -1088?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) 0.3 (b) -0.2 (c) 41319 (d) -15\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/765*15 + (-12)\/34*-23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*15.0623.\nAnswer: 40.66821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j**3 + 2*j + 1. Let a be -1 + 1 - (0 - -1). Let c be z(a). Let h = c + -12. Solve 2*b + 7 = -u, 2*b - h*b - 16 = -4*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12*v - 2*v + 17*v - 2 + 5*v.\nAnswer: 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 4:54 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -9 (c) 0.24 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 42122224 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 452299 = 2*u - 227705, 0 = 5*u - 10. Round o to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9 - -1)\/(4\/(-30)). Let w be ((-458 - d)\/1)\/(-1). Suppose 0 = f - 1267 - w. What is f rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210485 and 1410.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/1811 - 3615\/12677. Which is the third biggest value? (a) -2 (b) g (c) 5 (d) -12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + 0 + sqrt(637) + sqrt(637)*1*-5))**2.\nAnswer: 366912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - 240 = 0. Let r be ((-45)\/l)\/(1\/(-12)). Let m = -0.2 + 0.7. Sort 0.4, r, m.\nAnswer: r, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 112.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -3507\nAnswer: 291081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 83*o - 392. Determine c(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4\/7 - 9360*i**3\/7 - 179848*i**2\/7 + 1331376*i\/7 - 303300 = 0. What is i?\nAnswer: -25, 3, 2359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/880 and 64\/15?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2284 times 84\nAnswer: 191856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/12)\/((-1)\/(-18)). Suppose 0*c = 2*c + y - f, -5*y - 14 = -c. Suppose 21 = c*g - 63. Solve 7 + 6 = 2*d + 3*j, 0 = -4*d - 5*j + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.2, -1, 31\/3, 0.5, -0.3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 76*c + 1818 = 13*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -24*x**3 + 3*x**2. Calculate t(2).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**3 + 2*p + 1. Let d be m(-2). Let z = 22 + d. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -552 + 556. Which is the closest to -132? (a) -2 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(198) + (sqrt(198) - sqrt(198)*-2))\/sqrt(11)*4 + 4.\nAnswer: 4 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 315411487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 - -117.41. Let m = r - 118. What is the biggest value in -5, -2, m, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 52, 0, 0.12 in descending order.\nAnswer: 52, 0.12, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 2.939?\nAnswer: -41.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-14)\/24))\/(88\/308)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.4, -6866, -1, 2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 14*x**2 + 6. Let f be s(14). Suppose -6 = -3*q + f. Suppose -4*l + 28 = -q. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122123 + 1344?\nAnswer: 123500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 8, -4 + 9 = l + w. Solve 27 = l*x + 63 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z - 5 - 7 + z**2 - 10*z + 11*z. Suppose 2*p - 36 = 5*p. Let w be n(p). Is -1\/7 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85.509 - 5011.409. Let p = v - -5258. Let u = p - 348. Round u to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 + 20*l**4 + 36*l**3 + 28*l**2 + 8*l.\nAnswer: 4*l*(l + 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -25*w - 65 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 17*y**2 + 16*y + 27. Determine v(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - z - 2. Let y(q) be the first derivative of -q**3 - q**2\/2 - 2*q - 5. Determine -4*g(p) + 3*y(p).\nAnswer: -p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32764 is divided by 4094.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g + 10. Suppose -4*s = 5*o, 5*o - 6*s = -3*s + 35. Suppose -2*u - 28 = -4*a, o*u - 10 = -5*a + 38. Solve 0 = -g*j - a - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*h + 15*h - 9*h)*(h - h + h) as v*h**2 + z + l*h and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-21)\/(w*w**(5\/13)))\/((w*w**(-2\/21))\/w**34) assuming w is positive.\nAnswer: w**(2924\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1\/3)\/((-30)\/12420). Let g = o + -24. Suppose g = d + d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/4895? (a) -2 (b) -0.11 (c) -0.1 (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 + 3?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*g - 1181 - 504 = 0, -g + 665 = 2*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.12.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 6. Let x(z) be the first derivative of -9*z**2\/2 - 17*z + 449. Calculate 11*q(c) + 4*x(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k + 5 + 0 + 65*k**2 - 5 + 3*k**3 + 38*k**2 in the form x*k + s + h*k**2 + g*k**3 and give h.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -735*c**2 - 663*c**3 + 748*c**2 - 10*c + 11*c in the form h*c**3 + y*c + z*c**2 + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 195. Suppose i + 579 = 3*w. What is the least common multiple of 20 and w?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1937 and 116719.2949.\nAnswer: 116719.1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -18) + (-4 - (0 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.487 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/14 + (-10 - 5) - 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) 1\/2998 (c) 3 (d) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1581*b - 1581*b + 69*b**2)*(-4*b + 4*b - b) + (-2*b**3 + b**3 - b**3)*(3 - 3 + 2) as c*b**2 + q + m*b + h*b**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-99)\/(-6))\/(-7 + (-27245)\/(-3890)).\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 <= -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -98. Let t be (n\/(-12))\/2 + -2. Which is the smallest value? (a) -0.1 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 - 5*x - 15. Let a be n(-7). Let m be -1*43*(0 - -1). Let y = a - m. Calculate the least common multiple of y and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -2705*o**4\/8 + 4223*o**3\/3 + o**2 - 672. What is the derivative of k(f) wrt f?\nAnswer: -8115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 7?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59275.86ml to litres.\nAnswer: 59.27586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(b - 4*b + 0*b + 2).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*o - 17879, 7*l - 3*l + 17872 = 4*o. Calculate the least common multiple of 55 and o.\nAnswer: 49225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (13 - 26)) + -197 + 223?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -140, -176, -226, -296, -392, -520, -686?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 303 = 10*l + 447 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4 + (2 - 0)). Let v be (-1)\/h + 3\/2. Suppose 0 = b - v*b + 1, -2*o + 25 = b. What is the least common multiple of o and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 7*q**2 + 2*q**2 - 2*q**2 + 4*q - 4*q + (1 - 1 + 6*q)*(5*q - q - 3*q) - 3*q + 19 - 19 + q**2.\nAnswer: 3*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**2. Let b(t) = -t**2 - 6*t + 6. Let v(r) = -r**2 - 5*r + 5. Let o(h) = -3*h + 2. Let d be o(-1). Let y(i) = d*b(i) - 6*v(i). Calculate y(l(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2847 - 2824. Suppose 2*w + 40 = 5*s, 3*s - s - 3*w - 16 = 0. What is the remainder when c is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 10010011101011101?\nAnswer: -10010011101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 367519.7ml?\nAnswer: 367.5197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 256\/291 or -0.68?\nAnswer: 256\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 (base 7) in base 4?\nAnswer: -23112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 - 8*c - 7. Determine x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 0.0696892.\nAnswer: -0.8696892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79832759?\nAnswer: 79832759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (60*(-15)\/(-45))\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:14 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + c. Let z(p) = -p + 1. Let y(u) = -v(u) + 2*z(u). Let q be y(4). Let o be 3\/q*-2 - -7. Solve 4*w = o + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/4? (a) 92 (b) 13 (c) -1\/9 (d) 0.04 (e) -2 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219912402*b*l**2*m**3 + 2470*b*l*m**3 - 2*b*l - 3*b*m**2 - l*m**3 - 5*l*m**2 + 3*l - 3 wrt l.\nAnswer: -439824804*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, g: 4, l: 1, d: 1, b: 5}. Give prob of picking 1 i and 1 g.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 14*g**2 + 14*g + 3. Let v = -14 + -2. Is o(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2253 + -20201\/9. Let u = p + -197\/18. Does -4 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(288) + 3 + sqrt(288) + -3 + sqrt(288) + sqrt(288))**2.\nAnswer: 192*sqrt(2) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -6 (c) -11 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.97 - -0.03. Let a = -18 + r. Let l = a + 9.7. What is the smallest value in l, 1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(((-182)\/(-3003))\/(983\/(-3))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 5}. Give prob of sequence hooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1500) - (sqrt(1500)*-2 + sqrt(1500))) + sqrt(1500))\/((sqrt(36)*-1)\/sqrt(12)))**2 + ((sqrt(50) - sqrt(1250)*-2)\/(sqrt(10)*1*5))**2 + -1)*-1.\nAnswer: -22616\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b0a0158 - -2?\nAnswer: -4b0a0156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 1 d when three letters picked without replacement from bbbbfdbfbbdjdfddbbfb?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 93 = 3*a - 570, 0 = -a - 5*g + 155. Suppose 0 = j - 6*j + a. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 849 + -843. Solve -13*t = h + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -563, -3051, -8517, -18041, -32703, -53583, -81761, -118317?\n\"Answer: -180*y**3 - 409*y**2 - y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10878710.\nAnswer: 2, 5, 101, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116970, 116952, 116900, 116796, 116622, 116360?\n\"Answer: -3*l**3 + l**2 + 116972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49)\/63 - 4\/18. Let c(p) = 112*p**2 - 1. What is the hundreds digit of c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 z, and 1 d when four letters picked without replacement from zzzwzzddwwttzwwzwzd.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*s + 505. Suppose -4*d + s = -129. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 44*a - 1138, -j + 704*a - 705*a = -29 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 9\/5*u**4 - 3*u**2 - 6\/5*u**3 + 0 + 0*u = 0.\nAnswer: -1, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 130.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 69. Suppose t - 4 = -2*s - 36, 3*s + 49 = -2*t. Let h = -11 - s. Solve h*k + 2 = n*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-138) + 1230615\/46023\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(2025\/(-18))*(4 - -1). Let g = -2.9 + 3. Let b = 0.1 + g. What is the closest to -1\/5 in -1\/4, b, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from aafff?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 + 6*i - 13. Let m be a(8). Let w be (-130)\/m + 4 + 0. Factor 0*o**2 + 0*o + w*o**3 + 0.\nAnswer: 2*o**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -3 + 4)\/((-1)\/(-2)). Suppose 0 = 2*o - s*q - 40, 2*o - q - q - 30 = 0. Let t = 12 - 2. What is the greatest common divisor of t and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -5*u + 2*b - 12, -4*b = -u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 11:35 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2836296 is divided by 695.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5504 and -111\/56.\nAnswer: 38528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**2 - 16*x**2 - 9*x**2 - 10*x**2 - x**3 + 3*x**3 - 1036.\nAnswer: 2*x**3 + 10*x**2 - 1036","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1608.96 - 1650. Let h = -41 - d. What is the smallest value in -0.1, 0, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -3*v**7\/56 + v**6\/10 + 3*v**5\/80 - v**4\/8 - 6*v. Factor q(h).\nAnswer: -3*h**2*(h - 1)**2*(3*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:47 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17407 + f**2 + 1962 - 2550 + (2*f**2 - f**2 + 0*f**2)*(-1 - 2 + 1) - 3*f**2 + 3 - 3 to the form k*f + u + h*f**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:17 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 0.07, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 1004 - 1052 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adqaqaaqaq. What is prob of sequence qaaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -20. Put n, -3, -1 in descending order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 9. Let i be v(8). Suppose 4*w - i - 5 = 0. Find the second derivative of -5*h**3 + 2*h + 5*h**w - 3*h**5 wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -9*i + 3895. Let w = 6204 - i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 247, 248, 249?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 + c + 2. Determine g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10281*n + 92522. What is f(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3806 and -2.\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1392 and 161220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - (-32)\/18. Suppose -r*j = -4*j + 2. Calculate the remainder when 48 is divided by (-2)\/(4\/(-34)*j).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1794 and 690?\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*q + 8 = q, 2*x - 3*q = -13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 247 and 380.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49263, 48581, 47445, 45855, 43811, 41313, 38361?\nAnswer: 34955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129818?\nAnswer: 2, 13, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 3:45 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1911 - 219. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4140 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x. Let s be g(0). Suppose -2*i = -s*i - 6. Let j(m) = -m**2 - 5*m - 4. Let h be j(-4). Solve 5*n - 2*d + 4 = h, 0 = d - 0*d + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = x - 0*x + 2*g, 0 = -5*x + 2*g - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -3 + (-50)\/(-15))*-3. Sort 0, 4, s in decreasing order.\nAnswer: 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10428794083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1050.4 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + sqrt(2) + 3 - sqrt(2)))**2 - (sqrt(24)\/(-2*sqrt(12)) + sqrt(12)\/(-1*sqrt(6)))**2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p - 3. What is o(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 182 + 88 + j)*(-26*j**2 + 707*j - 707*j).\nAnswer: -26*j**3 + 494*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:30 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104179 - -412719\/4. Let z = t + 988. Calculate the common denominator of z and -107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, -4, 6\/35, 0.5?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3397540.\nAnswer: 2, 5, 257, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20*m**3 - 2*m - 2. Suppose 5*y + 7*a - 2*a = -5, -5*a = y + 1. Let k be v(y). What is the highest common factor of k and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j = 14*j + 215. What is the third smallest value in -1\/7, 2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Let v(c) = c**2 + 8*c - 5. Let j be v(-9). Suppose -j*r - z - 4 = 0, 0 = 5*q + 4*r - 22. Solve q*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11\/4 - 3 - 169\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 439087 and 11.\nAnswer: 439087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-40))\/(334\/224448)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose -843 - 73 = -196*v + 64. Solve 0 = -4*l + 5 + g, l - 27 = v*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 10. Let r be v(9). Suppose r = 2*j + 2*j. Solve -10 = 3*z + j*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 80 = -4*a, 3*a - z = -a + 70. Calculate the least common multiple of 1*4*(6 + -1) and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 2*n - 4*n**2 + 21*n**2 + 5*n**2.\nAnswer: 31*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -380, -611, -868?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6)*l*l**(-1))\/(l\/(l*l**(1\/7))*(l**(-2)*l)\/l*l))\/((l\/((l\/l**1)\/l))**(1\/7)\/(l**2\/l*l**(2\/11))) assuming l is positive.\nAnswer: l**(-228\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -637*q + 5899*q - 245*q + 2633*q in the form l*q + a and give l.\nAnswer: 7650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25\/63 - -1\/9. Let i = 65527 - 65532. Which is the closest to -3\/4? (a) i (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) + sqrt(19))**2*2.\nAnswer: 4598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15)\/(200\/13800).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 5*l + 3. Let n be y(3). Suppose 2*s = -2*w + n, 2*w + s - 12 = -4*s. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163889*p**2 + 3 + 6*p**3 + 4*p**3 + 163903*p**2 to h + r*p**2 + q*p + n*p**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 8*q + 3 + 8*q - 6.\nAnswer: q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192)\/sqrt(8))\/(sqrt(27)*-3)*-6 + -1 + -4)**2.\nAnswer: 80*sqrt(2)\/3 + 353\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 133631 = -3*x - 133661, 2*x - 5*g = -47 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:14 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640 - 323 - 196*b - 317 + 187*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x - 5*s, -2*x = 3*x - 5*s + 5. Let u be x\/(-10)*(42 + -2)\/2. Solve -3*d + 6 = f, -4*d = 2*f + 3*f - u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 16 (b) -0.1 (c) 1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -26. Suppose -2*c - 2*l + 2288 = -2030, t = -5*c + 2*l + 10781. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 5 - (0 - 1). Suppose 140 + 93 = 3*h + 5*p, -4*p + 66 = h. What is the remainder when h is divided by (a - 9)*(-44)\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12164658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1779 by 3.\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24194, 48384, 72572, 96758, 120942, 145124, 169304?\n\"Answer: -o**2 + 24193*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 76?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 14 = 3*q + 2*z, 0 = 2*q - 2*z - 14. Suppose u = q*p + p - 7, 2*p + 3*u - 1 = 0. Let d be 14\/(-6) - (p - 5). Sort 2, 1, d.\nAnswer: d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8185176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibhi when four letters picked without replacement from {h: 1, e: 1, i: 2, b: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzy when three letters picked without replacement from {y: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/4731 and -62\/4731.\nAnswer: 4731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -33*w - 417. Put -6, 4, -3, w, 20 in decreasing order.\nAnswer: 20, 4, -3, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 34*u**2 - 55*u + 49. Let c(t) = -t. Let v(y) = -6*c(y) - l(y). Let s(m) be the first derivative of v(m). What is the first derivative of s(b) wrt b?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25574312 to the power of 1\/2, to the nearest integer?\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*v - 6 = v, 0 = 2*r + 5*v + 6. Solve r*g = 6 - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1812 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1164587.91.\nAnswer: -1164583.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (152*i - 30*i + 64*i + (3*i - 4*i - i)*(-1 + 0 + 0))*(5*i**2 - i**2 + 3*i**2) as h*i**3 + b + l*i + y*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 157*l + 2000. Give g(-13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -ec (base 15) to base 4\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-28))\/((-1272)\/84 + 16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**3*x**3 - n**3*x**2 - 68302*n**3 + 391018*n**2*x + 138*n*x**3 wrt n?\nAnswer: -36*x**3 - 6*x**2 - 409812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417254.\nAnswer: 2, 208627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 329, 320, 297, 254, 185?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11)) - sqrt(110)\/sqrt(40).\nAnswer: 23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 18 - (-6 - -1)) + -9 - 21.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {h: 2, b: 1, f: 2, j: 2, s: 1, o: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -28, -162, -424, -850, -1476, -2338?\nAnswer: -3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0037 + -2.6663. Let a = 2.65 + h. What is the closest to a in 1, 2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/6534*(-26)\/13*-11\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 972*q - 113728. Let h be w(117). Suppose 2*s - 13 = u, 2*u = -s - 0*u - 1. Put s, h, -5, 41 in descending order.\nAnswer: 41, s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100945 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 64. Let u = 55 + c. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -1*sqrt(1872) + -1 - (sqrt(1872) - -1*-1*sqrt(1872)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 3*y. Let v be -1*(0 + -4) - 3. Let k be r(v). Find the third derivative of 3*g**k - 11*g**2 + 12*g**3 + 2*g - 2*g wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221010047?\nAnswer: 3, 135667783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.7338 and 0.\nAnswer: 21.7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15719?\nAnswer: 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7\/5 (b) -2\/29 (c) 444.6 (d) 1\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {m: 2, y: 1, b: 1, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 - -0.347. Let i = t - -0.122. What is i rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 30*y**3 + 7*y**3 + 11*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 186?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52c + 121?\nAnswer: 64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h**(-2\/11))\/(((h*h*h\/(h*h**(5\/6)))\/h)\/h**(2\/5)) assuming h is positive.\nAnswer: h**(137\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2820 divided by 5.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 39, -0.3, -5, -472, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -6, 0, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w - 9*w + 10 + 3*w - 112. Let a be f(-5). Solve 3*l + a*l = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r - 43 + 43 + 11*r. Let n(z) = 3*z - 1. Determine 4*i(a) - n(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x + 2. Let a(v) = 5*v**3 - 91*v**2 - 2*v - 316. Let c(p) = a(p) + 2*h(p). What is the first derivative of c(g) wrt g?\nAnswer: 9*g**2 - 182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(5))**2 + sqrt(80) + 4 + sqrt(5).\nAnswer: 5*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 + 1610080*v\/3 - 1296178803200\/3.\nAnswer: -(v - 1610080)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 796 + -795. Let z(y) = -y**2 - 3*y + 2. Let x be z(-3). Let h be x - -2*12\/(-14). Which is the closest to h? (a) 2\/3 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**45*w))\/w*(w\/(w**(-14\/3)\/w))\/w*(w*w*w*w**(-19\/2))\/((w*w\/(w*w\/(w**20\/w))*w)\/w) assuming w is positive.\nAnswer: w**(-395\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10812 = -4*b, -3*t + 8*t = 0. Let i = b + -1351. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*i - 99, -4*l + 103 = -i - 68. Suppose -5660 = l*y - 62*y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -39 - 1. Let c = -6 - r. Suppose 5*f = 2*j + 3*j - 135, c*j + 5*f - 47 = 0. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -6562.\nAnswer: -1246.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/77*12\/(-70)*-7?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 61372.71ng?\nAnswer: 0.00000000006137271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 18*h + 7*h + 10*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 53, 14, -51, -148, -283?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlhchhhhapphlhqhphh. Give prob of sequence aq.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1811*q**2 - 2. Let p(w) = 1018*w. What is p(u(i))?\nAnswer: -1843598*i**2 - 2036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918067 is divided by 587.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -19*k + 3. Let r(x) = -1 + 10*x - 2 + 1. Suppose -2*g = 3*q - 1, q - 12 = -8*g + 5*g. Let j(h) = g*r(h) + 3*v(h). Determine j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 100. Let q = -52861 - -52919. What is the remainder when q is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1615*u - 5207. What is the units digit of c(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 539*t - 538*t + o + 4, -2*o = 5*t + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + -1 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-12)*2*-6. Suppose -3*q - c = -4*q. Suppose -r - 458 = -q*d, d = -2*d + r + 343. What is d rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -109, -132, -157?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 + 23381853352895\nAnswer: 23381853352895.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 268*a**2 + 741. Let v(q) = -5*q. Calculate g(v(y)).\nAnswer: 6700*y**2 + 741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 29. Calculate the greatest common divisor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-32)\/(-272) + 40365\/85 is divided by 151.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 10 = 4*w, -39041*h = -2*w - 39037*h + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 950*k**3 + 16*k**2 + k + 26502 wrt k?\nAnswer: 5700*k + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/21 + (-6)\/(-9). Let q = -0.15 - -0.22. Let i = q + 0.03. Is j at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2085450*g**3 - 74897*g**2 + 6?\nAnswer: -12512700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*b**2*d*q - 3*b**2*q - b**2 - 2*b*d*q + 2*b*d + q + 7 wrt b.\nAnswer: 50*d*q - 6*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -14)*-694*(2 - 3).\nAnswer: 2, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-8 + -20 - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 4*sqrt(171))*3*2)\/((sqrt(90)*2 + sqrt(90))\/sqrt(10) - (sqrt(9) + 6*sqrt(9)*-1 - sqrt(9))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -33531, 20.\nAnswer: -33531, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 72, 105?\n\"Answer: 33*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 - 147. Let d(v) = 2*v - 29. Let h(y) = 3*y - 43. Let z(p) = -7*d(p) + 5*h(p). Let x be z(g). What is the third smallest value in x, 1\/3, -0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68\/313 + 39913\/9390. Calculate the common denominator of c and -61\/57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1555786 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6498912 divided by -57.\nAnswer: -114016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 - -3. Let q = -79\/64 - 1\/64. Let b = -0.00425 - 2.99575. What is the closest to b in 3, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*l + 8 = 0, 2*i - 7 = -2*l + 1. Suppose i*w - 8 = 0, -4*v + 2*w = -5*v + 16. Solve -5*h - 37 + v = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 80\/48 + 7\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*v - 2)*(-359 - 207 - 75)*(-3 - 2 + 4) as a + r*v and give r.\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*w + 4*w - 9, -w = -4*l + 9. Suppose -x = -l*x + u + 11, -4*u = -5*x + 35. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((4*sqrt(152)*1 - sqrt(152))\/sqrt(8) - (-5*(0 + sqrt(1216)))**2) + 2)*4.\nAnswer: -486368 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 8687*z\/2 + 5168336.\nAnswer: (z + 1423)*(z + 7264)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 10*w - 12. Let j be c(8). Suppose a = -j*b - 14, -4*a + 2*b = -2*a - 22. Solve 3*o = -0*o + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q + 13. Let m(k) = k**2 + 1. Let y(i) = -c(i) + m(i). Let o be y(9). Let d = -18 + o. Solve -2*u + d*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 + 10*g + 27*g - 3*g + 2 in the form s + f*g + a*g**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17192 is divided by 17128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 358437 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 12. Let j be (3 + 1)*6\/c. Suppose b = j*s + 17, 4*b - 4*s + s - 41 = 0. Solve -4 = -2*y - 4*z, 0 = -5*y - z - b + 27 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 624000?\nAnswer: 1\/312000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3530903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1795 and -1.06.\nAnswer: -1902.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*p - 11, 5*l + 22 - 57 = 4*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 10 - 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 20. Let b = 3 + q. Let u be b + 2*(-1 + 4). Solve -2*i + 2 + u = c, 0 = 3*i - c - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 835037 - 367?\nAnswer: 834560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*-1*2.\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3 and -19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 3 + 4 + (2 - 2 + 1)*(6 + 4 - 12))*(3 - 4 + 2)*(-170*u**3 + 170*u**3 - 5*u**4) as t*u**2 + x*u**4 + q*u**3 + y + b*u and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -5, -14, -86\/5 in decreasing order.\nAnswer: -5, -14, -86\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26195587 + 471682931\/18. Let m = -9018 + v. Calculate the common denominator of 101\/12 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccfccffccc. What is prob of sequence ff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4\/7, 47, -0.74, -0.2 in decreasing order.\nAnswer: 47, 0.4, -0.2, -4\/7, -0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 66. What is the highest common factor of 224 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 1. What is l(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 69. Let x be i(24). Let d = 73 - 45. Let c be 6\/d + x\/(-6). Are 0 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176.39 + -177.39. Let z be ((-2)\/3)\/(30\/(-9)). Which is the closest to x? (a) 5 (b) -4 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6 + -1)\/((-3)\/6). What is the closest to -1\/2 in 2, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38663 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 4*c\/3 - 1.\nAnswer: -(c - 3)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 45 = -30. Let t(g) = -3*g - 1. Let k be t(-1). Solve k*v - h = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*1\/(-3))\/((-34)\/204). Suppose 0 + 2 = b. Let f(h) = 0*h**2 - b*h**2 + 7*h**2 - h**g. Let q(s) = 2*s**2. Determine q(f(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q + 2. Let x(r) = 5*r + 5*r**2 - 3*r - 3*r**2 + q*r**3 + 1. Determine x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*v**2 + 1\/4*v**4 + 0*v - v**3.\nAnswer: v**2*(v - 3)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let q be z(-1). Suppose -3*a + 3 + 10 = q*o, -2*a = -3*o. Let f be (99\/110 - 1\/o)*5. What is the greatest common divisor of f and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 13*n - 7. Let u(h) = -2*h - 19 + 13 + 2 - 5*h + 2*h**2. Let v = 14 + -7. Calculate v*u(s) - 4*p(s).\nAnswer: -2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -8 + 249539\/8 - 1*3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 616.1177 grams?\nAnswer: 616117700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 840 + -1 + (-170)\/(-17). Is -1\/3 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623 (base 9) to base 13.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 491\/5. What is the nearest to 1\/5 in 1, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13201.9 + -13202. Let s(t) = t**2 - 8*t + 7. Let r be 7\/(1 - 0) - 1. Let o be s(r). What is the nearest to k in 1, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(14)*1)\/(sqrt(7)*-2*-2) - (-4 + 4*(0 + sqrt(18) + (sqrt(42)\/sqrt(3))\/sqrt(7) + sqrt(2)))**2.\nAnswer: -816 + 161*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6794\/1089 + 2\/121. Calculate the common denominator of g and -33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 8. Let q = 13 + -12. Let j(p) = 1. Determine q*o(d) + 6*j(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350177593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4877 - -4531553.\nAnswer: 4536430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 933*i + 5. Let v(w) = -155*w**2. Calculate r(v(m)).\nAnswer: 48050*m**4 + 144615*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*k + 4 = 0, -10 + 2 = -5*a + 4*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*b = -5800, h - 2858 = -12*b + 7*b. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18006066 and 30?\nAnswer: 90030330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4851550*a**2*i**2 + 8301*a**2*i*r - 239*i**2*r wrt r?\nAnswer: 8301*a**2*i - 239*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-120))\/(22\/33)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -133495633.6?\nAnswer: 133495635.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.026 - 167.026. Let h = 166.7 + q. Put -4\/9, -0.4, -2\/9, h in descending order.\nAnswer: -2\/9, h, -0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 5. Let z be m(-3). Let x(r) be the second derivative of r**3 - 3*r**2\/2 + 5*r. Is x(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12d7652 + -9?\nAnswer: -12d765b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - a = -2016, 0 = -2*c + 5*a + 483 + 318. Suppose 4*o - c = 117. Let n be (-240)\/(-3)*-500*o. What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5270497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 3767*n**2 - 3712760*n + 307420204.\nAnswer: -(n - 1838)**2*(n - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8)**(13\/3) assuming n is positive.\nAnswer: n**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520006420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 161 = -3*q - 6, 2*k - 5*q - 97 = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4463361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 376915478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 338001421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27068238, -27068240, -27068242, -27068244, -27068246?\n\"Answer: -2*c - 27068236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 158. Suppose v*x - 49 = 51. Calculate the least common multiple of 6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17781 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -33. Let x = a - -90. Let l = x + -29. Calculate the remainder when 124 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + -0.1. Let h be 1*(-2)\/(-2) + -7. Let o be (1\/3)\/(8\/h). Which is the third smallest value? (a) o (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 310*v**2\/3 - 48050*v\/3 - 7447750\/9.\nAnswer: -2*(v + 155)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -8*v + 5*v, 0 = -i + v + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 - -147. Suppose -2*n = 2*n + 20, v*n + 28 = -3*s. Which is the nearest to -2? (a) 2\/7 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6695 - -6695. Which is the second smallest value? (a) z (b) 0.2 (c) -6\/11 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1 (c) -1\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124766*y + 413 - 45450*y - 413.\nAnswer: 79316*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -3)*3.\nAnswer: -9 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(11\/4)*3\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44580326759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0*u**3 - 4 + 3 - 2*u**3 - 6*u + 3*u**2. Let c(o) = 2*o**3 - 2*o**2 + 6*o + 2. Let y(z) = -3*c(z) - 4*i(z). Suppose y(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:56 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/(-12)*(-927)\/11948*29?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 182*f**2 + f - 1. What is the tens digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = 6, c = -3*y + 9. Let t = 22295 + -22295. Solve 4 = -2*o - t, -c*o - 9 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 13. Let a(d) = 13*d - 25. Determine 4*a(q) + 9*l(q).\nAnswer: -2*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.63 + 0.07. Let o = w - -4.3. Let k = 28 + o. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((114\/(-4))\/19)\/(42\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2*p)*(2 - 4 + 0) + 4*p + p - 4*p)*(-43*p - 48*p + 31*p).\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 14. What is the units digit of b(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**2 + 7*n - 3. Let t be p(-1). Let q be t\/3 + (-118)\/(-6). Solve 6*d - q*d = 56 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/4573728 and -39\/5081920.\nAnswer: 45737280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.095 and 2.124?\nAnswer: -0.20178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10238 is divided by 928?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658383 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*h - 3. What is the third derivative of -h*i - i**5 + 14*i + 2*i**2 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003934 rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7\/3) + (-490)\/(-147)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19113254 - -0.11\nAnswer: -19113253.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = 2*n - n, 2*a - 3*n = 3. Suppose a*o - 175 = 311. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -7)*3\/2. Suppose -3*d = -g*d. Suppose s = 3*c - 20, -3*c + 12 = -d*s + 3*s. What is the greatest common divisor of 15 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-420*z**2 + 420*z**2 - 217*z**4)*((4 - 5 - 1)*(3*z - 4*z + 2*z) + 0 - 2 + 0 + 3*z).\nAnswer: -217*z**5 + 434*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 5*b + 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14591 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 0.3, 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 16. What is the least common multiple of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:14 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 37. Let f = -450 + 451. Does 2 divide 10\/55 - f*(-163)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10276 (base 9) to base 16\nAnswer: 1a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -246, -249, -252, -255?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5)**(1\/16)\/((k\/k**(3\/8))\/(k**(9\/7)\/k)) assuming k is positive.\nAnswer: k**(-3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**5 + 231242*k**3 + 91205165*k**2.\nAnswer: 960*k**2 + 1387452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 90. Suppose -r - 3 = -2*s, 3*s - h - 6 = -5*r. Find the first derivative of 9 - 11*y**s - 13*y**3 + 31*y**3 wrt y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 155?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 1.15, 334702?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -247, -505, -787, -1105, -1471, -1897, -2395?\n\"Answer: -2*x**3 - 244*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632 = -4*y + 2*v - 646, 4*y - v = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {f: 1, u: 3, i: 1, c: 1, g: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28059670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-4)*24\/42. Solve i = -3 - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06263 * -85947\nAnswer: 5382.86061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 a when three letters picked without replacement from {a: 2, i: 2, q: 3, w: 1, f: 3, g: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -327?\nAnswer: -2289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b - 2*n + 422, 5*n + 415 = 4*b. Suppose b = 12*l - 7*l. Let k = l + 4. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1614.\nAnswer: -484.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 + 5. Let x(r) = -4*r**2 - 5. Let p(y) = 3*j(y) + 2*x(y). What is the derivative of p(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2847 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092.0203ns in minutes?\nAnswer: 0.000000034867005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*k**3 - 216*d*k**2 - 72598106*d*k - 56*k**3 - 584*k**2 wrt k?\nAnswer: 12*d*k - 432*d - 336*k - 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92876 - 21649 = 13*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/35 and -37\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1457 + 1527. Solve -a = 31*f + 85 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -663 + 8*q + 5*q + 1315 - 652. Let g(z) = 2*z - 46. Give b(g(y)).\nAnswer: 26*y - 598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19357943.\nAnswer: 11, 157, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 7*f**2 - 4*f**2 + (-13 + 8 - 9)*(4*f**2 - 6*f**2 + 4*f**2) + 2*f**2 + 2*f**2 - 6*f**2 - f**2 + 5*f**2 - 3*f**2.\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(2\/5)\/g*g)\/g*g)\/g)**29\/(g**(-1)*g)**(-14))\/((g\/g**(-1\/3)*g\/(g*g**(-3\/7)*g*g*g*g))\/(g*g*g**(-6\/5)*g*g*g*g**4)) assuming g is positive.\nAnswer: g**(2272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 5 + -3 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4\/3 - 1160*i**3\/3 - 23555*i**2 - 392110*i\/3 - 510760\/3 = 0. Calculate i.\nAnswer: -113, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(2\/43)*((a**(-2\/19)*a)\/a)\/((a\/((a\/(a\/((a*a*a**(-8\/3)\/a)\/a))*a)\/a))\/a) assuming a is positive.\nAnswer: a**(-7592\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3427509 or 3427510?\nAnswer: 3427509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/132 + 2\/11. Let u(v) be the third derivative of -p*v**5 - 5\/24*v**4 + 0*v + 0 + 0*v**3 - 15*v**2. Determine q so that u(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -6. Let g(w) = -w**2 + 5*w + 5. Let r be g(b). Suppose 3*i + 25 = 7*i - 3*q, -2*i - 7 = r*q. Solve 7 = i*u + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)\/(75\/71985). Let v = h - -960. Determine r so that -13\/5*r + 1\/5*r**3 + 7\/5*r**2 - v*r**4 + 6\/5 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 391*x - 2 - 516*x - 1.\nAnswer: -907*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p**2 + 2*p + 1. Let v(k) = 5*k**3 + 26*k**2 + 1. Let f(x) = -6*g(x) + v(x). What is f(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*h**2*u**2 + 37382*h**2*u + 5*h*u**2 + 4*u**2 - 2799497 wrt h.\nAnswer: 194*u**2 + 74764*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -29 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -76. Let o = 24 - 24.5. Put 1\/2, j, o in ascending order.\nAnswer: j, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 20 + -16 + (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -490985?\nAnswer: -196394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, w: 2, h: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-9) + (-4)\/(-18). Let o be (-18)\/(-10) + k\/(-5). Let a(x) = -3*x - 3. Let r be a(-2). Solve -b - r = o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -4*a**3\/3 - 4*a. Let v(l) = -l. What is x(v(f))?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or 30936?\nAnswer: 30936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1978145*h**2 + 673511*h + 3.\nAnswer: -3956290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7946.\nAnswer: 2, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11058099.\nAnswer: 3, 13, 283541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 29*a + 47 - 93.\nAnswer: -29*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*a = 25, 30*r + 5*a = 28*r - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6109 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 191*c**2. Let m(t) = -5*t**2. Give l(m(d)).\nAnswer: 4775*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 16 = -b. Suppose -g - 8 = -4*z, g - 10 = -3*z - 2*z. Sort b, -5, g in descending order.\nAnswer: g, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 + 4*h - 4. Let y(c) = -c**2 - 3*c + 3. Let n be y(-3). What is the tens digit of x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1138*z - 334*z + 21708 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85\/4*k**3 + 1\/4*k**5 - 119\/4*k**2 + 39\/4*k**4 + 42*k + 41 = 0.\nAnswer: -41, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1014828 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46031 divided by 1?\nAnswer: 46031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61550 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let p(c) = c + 1. Calculate i(f) - 2*p(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(168)*3)\/(sqrt(72)*3))\/(5*((sqrt(99)\/sqrt(3))\/sqrt(11) - (-1*sqrt(75) - sqrt(75)))))**2.\nAnswer: 28\/27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 995461162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3284.2 and -0.4.\nAnswer: -3284.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 176a3b7 (base 13) to base 10\nAnswer: 7619853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41113 (base 7) in base 11?\nAnswer: 7577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 180*i**3 + 2*i**2 - 2*i + 1. Is g(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263303718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and 14820936 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 - 170*p - 165 = 0. Calculate p.\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100455 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjibvkdi. Give prob of picking 1 j and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 + 2116*g**3 - 2514 - 2119*g**3.\nAnswer: -3*g**3 - 2186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/48 and -151\/6720?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2127*n = -2138*n - 4*o - 39, 23 = -3*n + 2*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x**2 - 13*x**2 - 28*x**2 + 13*x**2. Let f = 1 - -2. Let b(w) = f*w**2 - w + w. Determine c(b(a)).\nAnswer: -99*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 3, -0.17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*r - s - 286307, -2*r - 143126 = 4*s. Let y = r - -35773. What is y rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 218*r - 9. Is 28 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + 3\/2)*(-944958)\/(-149).\nAnswer: 3, 7, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/108 - (-4)\/(-9))*3975\/100.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (5 + -6 + 6) - 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 1 + 7 + 137 + -132\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-5))\/(3*4\/240). Let s = k - -23. Find the first derivative of h - 22*h + 3 + s*h - 23*h wrt h.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 399. Let k(t) = -132499*t. Determine q(k(a)).\nAnswer: 70223940004*a**2 + 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821576?\nAnswer: 2, 3, 71, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 a when four letters picked without replacement from {g: 5, v: 5, a: 3, n: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (285\/20)\/((-6)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -38, -46, -38, -8, 50?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 12. Let j be r(-7). Let c(l) = 13*l - 247. Let y be c(19). Suppose 0*p = -p + 8. Sort p, j, y in increasing order.\nAnswer: y, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**4 - 268*s**3 + 1532*s**2 - 308*s - 968 = 0. Calculate s.\nAnswer: -2\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -i, -2*i - i + 18 = -3*q. Let h = -0.145 - 155.855. Let f = h - -153. Which is the second biggest value? (a) f (b) 2\/5 (c) i (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/3 + 6 + -3. Let j = d + 10. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 283, 840, 1901, 3634, 6207?\n\"Answer: 28*s**3 + 25*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 22*l**3 + 1 - 8.\nAnswer: 28*l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m - 40*m + 16 - 31 + 9*m - 3*m**3 - 6*m**2 + 17 to z*m**3 + h + o*m + n*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/45)\/((-175)\/(-10))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1721, -4, 2 in descending order.\nAnswer: 1721, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-105)*36\/(-2). Let y = n - -21\/5. Let r(f) = -f**3 + f - 1. Let c be r(-2). Sort c, y, -0.1 in descending order.\nAnswer: c, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114100 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 6*q + 7. Let w be j(5). Let b be 1\/3*(w - 3). Suppose 5*f - 29 = -b*t, 3*f + 0*f = -t + 7. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + (sqrt(168) - 4*sqrt(168)))*2)\/(sqrt(486)*-1*-3).\nAnswer: -8*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -30 - 4\/3*i**3 + 1\/4*i**4 + 18*i - 15\/2*i**2. Factor j(f).\nAnswer: (f - 6)*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438fc (base 16) to base 12\nAnswer: 114190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 35 + 115 = 0. Let y = -10 + 9. Let b be (-4)\/s - y\/4. Solve -4*j + 16 = -2*j - 2*v, 2*j + 4*v + 14 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1627 - 1622. Sort 3, 3\/4, 9, q.\nAnswer: 3\/4, 3, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 6. Which is the third biggest value? (a) s (b) -0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 0*b**2 + 9*b**2 + 9*b**2 + 26 - 37 to u*b + r*b**2 + k*b**3 + l and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)\/(n*n**(-5))*(n*(n*n**4*n)\/n)\/n**(-1)*(n**6\/((n\/n**7)\/n))\/(n**(-2)\/n*(n**(-1)*n)\/n) assuming n is positive.\nAnswer: n**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -274, 2, 93 in increasing order.\nAnswer: -274, -2, 0, 2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*d**3 - 855*d**2 + 1420*d - 300 = 0. Calculate d.\nAnswer: -10, 1\/4, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m + 113 + 195 = 0. Put m, -3, 77, 5, 4 in decreasing order.\nAnswer: 77, 5, 4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-3 - -1) - 0. Let q be -1*1*(-11 + r). Suppose m**3 - m - 1\/3*m**q - 1\/3 + 2\/3*m**4 = 0. What is m?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 - 2*d + 2. Let y be v(-10). Let i = y - 19. Suppose i*j - 9 = 5*b + 16, 5*b + 5*j + 25 = 0. Let l(g) = -2*g - 4. Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - (-1)\/4. Let y be 46\/(-115) - (-3)\/(30\/4). Suppose 9 = -3*a - 5*x, -x = -a - y*a + 5. Solve 2*w + t*w + a = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3420*k - 37563. Determine d(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 0*j - j. Suppose -5*r = 3*u - 0*r + 9, 4*r = 2*u - 16. Let f be h(u). Solve n = f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100\/(1\/(-6)*1). Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -503, -10962, 7 in descending order.\nAnswer: 7, -503, -10962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {f: 3, j: 4, t: 3, h: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*n + 535 + 14 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = y. Suppose -78 = 5*p - 4*b, 0 = 4*p + 2*b - 8 + 86. Does p = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*n - 4*n. Solve n = 5*c + 15 - 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1903687 or -1903684?\nAnswer: -1903687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1407 divided by -3.\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.3, 0, -236?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 12*z + 2. Let j(v) = -v**2 + 8*v - 4. Let o be j(8). Let i be y(o). Solve i*u + 3 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + 3 + 1 + sqrt(99))*-3.\nAnswer: -54*sqrt(11) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -17, -1\/7, 3\/17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 70, 3, 2\/13 in increasing order.\nAnswer: 2\/13, 0.5, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -84 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 29, 37, 45?\n\"Answer: 8*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -761 - -5325\/7. Which is the nearest to -0.6? (a) -3 (b) t (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17103861?\nAnswer: 3, 1900429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:52 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1724 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -156*g**2 + 2312*g + 420.\nAnswer: -4*(g - 15)*(39*g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33982 != 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, -3864, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 8*p - 4. Let h be x(7). Suppose h*c + c = 188. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/((-1)\/(-18)). Suppose 9*k = 12*k - o. Suppose -p - 59 = -5*r, -k*r = -2*p + 6*p - 52. Calculate the lowest common multiple of r and 34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5))**(-11\/5)*((j\/((j*j\/(j*j**6)*j)\/j)*j)\/j)\/(j*(j*(j\/j**(3\/10))\/j)\/j*j) assuming j is positive.\nAnswer: j**(303\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from iiiqiiqitiiip.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 12*a - 7. Let v be p(-3). Are v and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 118*n + 23. Let x(t) = 2069*t**2 + 2075*t**2 - 4142*t**2. Give c(x(k)).\nAnswer: 236*k**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23055629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00544578578 to 5 dps.\nAnswer: 0.00545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 20*g - 244*g + 2908, 11 + 10 = 5*b + 2*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8113727 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 + 6*v. Let w = 7 + -13. Let h be d(w). Find the third derivative of -2*l**6 + l**6 + l**2 + h*l**6 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 432837, 432946, 433127, 433380, 433705?\n\"Answer: 36*o**2 + o + 432800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - i - 3*i + 3 = 0, 5*i + 3 = -4*z. Suppose -k - 11 = -2*k + z*y, 4*k = -5*y + 10. Solve -3*f + 4*f = -k*s - 15, -s = 5*f - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1524929\/343 - 2\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:22 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -289*g**3 + 5*g**2 + 6*g + 316. Let k(a) = 283*a**3 - 6*a**2 - 7*a - 316. Let l(x) = -5*k(x) - 6*y(x). Find the second derivative of l(z) wrt z.\nAnswer: 1914*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - ((sqrt(3025) - (sqrt(3025)*1 + sqrt(3025))) + sqrt(3025)))\/(sqrt(180)*3))**2*-5.\nAnswer: -25\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a centimeter in micrometers?\nAnswer: 78750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let n be b(-1). Find the second derivative of -13*o + 7*o + 3 + n*o**3 - 3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.111*-22\nAnswer: 2.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 214 - 14. Suppose -g + i = 20. Let u = g + 55. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 + -4 - 0) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -375 - -378. Suppose -n*o + o + 2 = 0. Which is bigger: o or 5\/41?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92108, -91464, -90818, -90170, -89520, -88868?\n\"Answer: f**2 + 641*f - 92750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40600 = -223*n - 123*n - 1278*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27187 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11516 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 10 + 2. Let j(w) = 16*w + 11*w - 10*w + 7 - 16*w. What is j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**2 + 11*p**2 + 2*p - 7*p**2 + 10*p**3 + 2*p**3 + 0*p + 0*p + (p**2 - 2*p**2 + 2*p**2)*(p - 4*p + 4*p).\nAnswer: 13*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose w + 2*w + h = 1440003, -h - 1439997 = -y*w. Round w to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*q - 304, 0 = n - q - 44 - 39. Suppose -n = 5*l - 1734. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381 divided by 13.\nAnswer: -381\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 - 43*b**2)*(-3*b + 0*b + 4*b)*(-13*b + 2 - 2).\nAnswer: 546*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 85*h**2 - 43*h - 19. What is the remainder when 292 is divided by f(-42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**3 + 5*h**2 + 29*h**3 - 35*h**3 - 5. Let y(c) = -28*c**3 + 7*c**2 - 7. Give -7*r(d) + 5*y(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = 6*z - 46 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -282408689600 rounded to the nearest one million?\nAnswer: -282409000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 30\/11, -5?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Suppose 4*o - 1 = -17. Let l be d(o). What is the derivative of 4 + l*q**4 + 4*q - 4*q wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0 - 51*c**2 + 0*c**3 + 0*c**4 + 1\/20*c**5 + 0*c. Let n(q) = q - 1. Let x(b) = -2. Let y(i) = 2*n(i) - x(i). Give w(y(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -619, -4012, -12935, -30124, -58315?\nAnswer: -100244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -w - 313. Let z(j) be the first derivative of -5*j**4\/24 + j**3\/3 + j**2\/2 + 1. Let g(k) be the second derivative of z(k). Determine g(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 30. Suppose -3*z + z = m*p - 8, -5*p - 2*z + 12 = 0. Suppose 5*h + p*a - 308 = 0, h - 50 = 8*a - 3*a. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 7*x**2 - 7*x - 49. What is the hundreds digit of g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 + 4*b + 1. Let i be d(5). Let c be (-14)\/i + 3\/6. Solve -c*r + 2*r = -2*h - 10, -3*r = h - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (-6*sqrt(70))\/sqrt(10))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 6*k + 4. Let w be r(-8). Let m = w + -35. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 143998\/9 - (-8)\/36. Let f be (11399 + 1)*a\/(-12). What is f rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.19. Sort 2\/5, h, 0.2 in descending order.\nAnswer: 2\/5, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - 4) + -4 - -6) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-24)\/333)*4. Let p = -74 - q. Suppose 4*n + 0*n = 52. Calculate the remainder when p is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - -19 - 2) + -28\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 3. Let d be l(-8). Solve 0 = -b - d*q + 15 - 44, 3*q + 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -328 - -498. List the prime factors of f.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 3*l + 5. Let w(u) = 9*u**2 + 4*u - 9. Let y(c) = 11*o(c) + 6*w(c). What is y(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128012269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - -5 - (22 + 6) - 6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m + 133. Let t be v(-13). Suppose 0 = -6*j + t*j + 3171. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1921071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**12*a)\/a**(-11) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.039 + -1.519. Let c = a + 0.48. What is the closest to c in -3, 2\/7, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*q - 0*q - 456, -3*q + 361 = -4*m. Let x(v) = -65*v**2 - v. Let h be x(1). Let c = q + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*b + 25 = 0, 0 = -6*b + 3*b + 12. Let i(v) = v**3 - 6*v**2 + 6*v. Let m be i(d). Suppose 0*t = -m*t. Solve s + t*s = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8972183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-7)\/(-4))\/((-12)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n**5 - 128\/3 + 72*n**4 - 320\/3*n**2 + 448\/3*n - 96*n**3 = 0. What is n?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3571, -0.0727, -0.5?\nAnswer: -0.0727","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7690 = 5*g, 0*p + 3076 = 2*g + 2*p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 10*u + 2*u**2 - 2*u - 1 as n + y*u**2 + f*u and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -696 smaller than 87.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 33105040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q + 3. Let b be m(-5). Suppose 4*r - 41 = -b. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n + 1. Let s(k) = 6*k - 2. Suppose d + 7 = 0, -z - 2*d = -7*d - 29. Give z*s(t) - 5*l(t).\nAnswer: -t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2800246ug in tonnes?\nAnswer: 0.0000000000002800246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.12, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2, -0.08, 3, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46695 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0782 to three dps.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.9 - 8.9. Let c = -57954.1 - -57954. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 106, 183, 302, 475, 714?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (sqrt(95) + (2*(-1*sqrt(95) + sqrt(95)) - sqrt(95)))\/(sqrt(20)*-1) + ((sqrt(2299) - (-1 + sqrt(2299))) + 0)**2*-5 + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22760585 divided by 429445.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 11 - 17*f + 12*f - 2*f**2.\nAnswer: -2*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let d = 5 - 1. Let j = 0 - d. What is the units digit of k(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 - 4*t - 3. Let g be k(5). Suppose 0 = g*n + n + 18. Let j = n - -9. Solve 0 = 2*o + 7 + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*z - 2292 - 2748. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154493 is divided by 360.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, 5, 3173, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + -9 + (5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30 and 73\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = -3*i, -3*i + 7*i = 4*u - 44. Let g be (-4)\/i*(-7 + 10). Solve -17 + 2 = 3*p, -g*b - 3*p - 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 - 8*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t - 8 - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -849*a + 4922 + 1021 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4 + 30\/(-12) - 75\/(-2). Solve 16*g + k = 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 2*l - 1. Let i be z(5). Calculate the greatest common factor of 221 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*d**3*w**2 + d**3 - 3*d*w**2 + 139*d*w wrt w.\nAnswer: 34*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-60))\/(3\/2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*t**2 - 164*n + 9*t**3 - 2*t**2 - 2232*t + 91 wrt t?\nAnswer: 4*n*t + 27*t**2 - 4*t - 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + -6 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/54 - 2052512\/(-126).\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31676699 is divided by 435.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 5, l: 8}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 94695928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - 6\/(72\/(-84)). Sort 3, x, -1, -5.\nAnswer: -5, -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (9 - 7) + (18 - -25)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -310*f**2 + 2516*f - 5059. Give o(2).\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 319296, 319294, 319290, 319284, 319276?\n\"Answer: -g**2 + g + 319296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 8. Let o = y + 3. What are the prime factors of (3 + o)*1*6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 3318 = 3381. Let p = -1.1 - -1. What is the nearest to s in p, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**2\/2 - m + 1. Let b = 34 + -20. Let o(f) be the first derivative of -2*f**2 + 3*f + 16. Determine b*j(w) + 4*o(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.33 (b) 0.619 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/21389 (b) -0.1 (c) -3\/4 (d) -0.4 (e) 3 (f) 0.3 (g) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30*4)\/((-9)\/(1188\/(-8)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051027909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 16 + 4. Let m be o - (58176\/3644)\/4. Let k = m - -106475\/12754. What is the common denominator of k and -157\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (9 + (-4 - 3)) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1420 + 3?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0.34.\nAnswer: 10.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8239894 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10))\/(12\/15).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 7*a - 6. Let u be c(-5). Let s = 8 - u. Let l(z) = z**3 - 8*z**2 - z + 10. Let j be l(8). Solve 0 = j*g - g + s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1341400699 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -39*q**3 - 4*q**2 + 42*q - 92. Is w(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.067 and -0.3.\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y + 3 - 4 + 8*y. Let w be s(4). Let k(v) = 11*v**2 - v - 1. Calculate k(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) 2 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819691.\nAnswer: 819691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.666 - -2.7. Let w = 1.7496469 - 1.78365. Let q = d + w. What is q rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + 5*o)*(0*o - 2*o + 0*o)*(6 + 2*o - 10 + 0*o + (-2*o - 5*o - 10*o)*(-6 - 1 - 1)).\nAnswer: -276*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/4 + 5*r**3\/3 - 1. Let m be ((-10)\/15)\/((-4)\/(-30)). Calculate q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 17*u - 24 = 0. Suppose -d - 3*c + 12 = c, 0 = u*d - 2*c + 6. Solve -3*o + i - 12 = 0, 5*o - 5*i = -d*i - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.535 + -10.2. Let i = -0.015 + n. Let d = i - 0.32. Which is the second biggest value? (a) -6 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 0 - 67704\/210. Let a = -319 - j. Let p(r) = 15*r**3 - 5*r - 5. Let i(o) = -2*o - 3 + 6*o**3 + 2*o**3 - o. Give a*p(n) - 5*i(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*39\/(-78)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 7 = -192 + 41 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -71 + -81 + 135 - 287\/(-17). Let k = 1 - -1\/3. Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*z - 3*r - 2, -3*z - 5 = -r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/10*((-108)\/15 - -8). Let w(j) = -8*j**2 - 2*j + 6. Give w(d).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)\/z**(1\/5))\/(z**(2\/3)*(z*z**(1\/12))\/z) assuming z is positive.\nAnswer: z**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 6*k. Suppose 0 = 4*c - 16, k = 5*b - 3*c - c + 11. Solve b = 3*o - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*b**3 + 84426*b**2 + 21772178*b?\nAnswer: -894*b + 168852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 538036483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1154490\/7 or 164928?\nAnswer: 1154490\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 + 7*k**2 + 11*k**2 - 14 + 10*k**2.\nAnswer: 2*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - 27*p**3 - 16*p**3 + 0*p**2 - 9*p**2 - 1 as t*p**3 + g*p + l*p**2 + q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o. Let g be w(1). Let c be ((-12)\/16)\/(1\/g). Let f = c + 24. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 21352 = 299422. Suppose 44*g - p = -1715. Is 63 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9809*d + 4908*d - 1 + 4907*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5276, 5128, 4920, 4664, 4372?\nAnswer: 4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -132. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 - 310*u + 2*u**4 + 3*u**2 + u**3 + 61196130 - 61196130 to d*u**2 + o + h*u**3 + l*u**4 + w*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(1 - (-15)\/9). Let r = -3 + x. Suppose -2*z - y + 31 = -33, r*z = -4*y + 154. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5141776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-4 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2373 and 31273428.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 46292*w - 323934. Give n(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8098991 minus -1?\nAnswer: -8098990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and -589517551.3.\nAnswer: -589517536.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4333\/6 - 8\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -341910\/54397 - 2\/7771. Calculate the common denominator of 89\/10 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28723 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -804 (base 14) to base 11\nAnswer: -11aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(2\/17)*p)**(-5))**(4\/11))**(-3\/8))**(-28) assuming p is positive.\nAnswer: p**(-3990\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 8*s**5 + 124*s**4 - 596*s**3 - 12616*s**2 - 17664*s - 5760 = 0.\nAnswer: -12, -1, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/5 + 4\/(-10). Let r be 1\/(-3)*2*12516\/(-56). Let i = 169 - r. Solve g*q = -4*k - k - i, 20 = -5*k - 4*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 2*f**4 + f + (0*f - 2*f - f)*(9*f - 3*f**3 - 9*f).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-144) - (-63)\/56.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1685060424 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7071*v - 7072*v + 21208*v - 7072*v + 155)*(-6*v + 9*v + 4*v).\nAnswer: -49*v**2 + 1085*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f. Let s(o) = 14379*o**2 - 5*o. Give s(b(q)).\nAnswer: 1437900*q**2 + 50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 743988755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let y(p) = 6*p. Let j(z) = n(z) - y(z). Let d(l) = 2*l. Let h(k) = -22*d(k) - 6*j(k). Let r be (3 - 0)*(-6)\/9. What is h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 13*z**2 + z + 53. Calculate d(-13).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3 + 7. Let y = -35\/6 - -11\/2. What is the closest to 4 in y, 2\/7, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*l + 5*l + l)*(-12*l - l + 21*l) + 0*l**2 - 2*l**2 + 3*l**2)*(26*l**3 - 117*l**3 - 17*l + 17*l).\nAnswer: -1547*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/74102 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -721*k**3 - 56*k + 11 wrt k?\nAnswer: -4326*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = 2*c - 28, -5*c = 3*r - 80. Let b = c - -352. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/258 and -17\/157122.\nAnswer: 157122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/39119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxmzrss. Give prob of sequence qmss.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(1008)*-1))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (432 - 414) + (1 - 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0 + 0)*(10*f**4 + 61*f - 61*f) + (f**3 - 2*f**4 - f**3)*(0*f - 2*f + 0*f) + 3*f**5 - 3*f**5 + f**5 - 2*f**5 + 2 - 2.\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0 + 1\/40*k**6 - 1\/6*k**3 + 2*k**2 + 1\/24*k**4 + 0*k - 1\/60*k**5. Determine j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 496\/1105 + -12\/85. Is b at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = 1. Find the common denominator of t\/(-3) + 38\/(-12) and -1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(-4*(-4*sqrt(10) + sqrt(10)))*-6 + (sqrt(70) + 1*sqrt(70)*3)\/(sqrt(100)\/(sqrt(20)\/sqrt(2))).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(p + 0*p - 2*p + (2*p + p - 5*p)*(-3 - 1 + 2) - p + 4*p - 2*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + d + 16 = -d, 5*l = d + 44. Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/16001 and -127\/410?\nAnswer: 6560410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 - g**2 + 1. Let x be j(1). Let z(w) = -6*w**2 + 7*w**2 + w + w**2. Let n be z(-1). Solve x*d + 24 = -n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/24 - 14\/(-6) - -4. Solve -7*j = -5*j - a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12625 and 56750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + 2) - (5 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from keekee?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728796.43 rounded to the nearest ten thousand?\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.7 - -29. Sort q, -2\/5, -0.5 in descending order.\nAnswer: q, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-459)\/72)*-2*(-2)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 - 12. Let g(w) = 1. Determine 5*c(y) + 60*g(y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(5 + 3) - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.41 smaller than 12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*g**2*k - 26*g**2 + 137*g*k + 2*g - 279*k + 3144 wrt g.\nAnswer: -28*g*k - 52*g + 137*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 369730000 to the nearest 1000000.\nAnswer: 370000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1584) + 3 - sqrt(1584))*2 + ((3 + sqrt(99) - sqrt(11) - sqrt(11)) + 5)**2.\nAnswer: 16*sqrt(11) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 129.\nAnswer: 62\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let p be 10\/6 - 7\/(-21). Let i = 3 - p. Which is the biggest value? (a) i (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3328\/9 + -370. What is the fifth smallest value in -2, -0.01, 0.2, v, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8 - 11 + 25 - 7. Let b(w) = -w**2 + w - 6. Calculate b(c) - 3*i(c).\nAnswer: -c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(11 + (-455)\/39). Solve -5*s - 4 - 1 = -5*k, -5*s + d*k = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = 2*j, -5*u - 2*j - 2 = 4. Solve 3*t - 1 + 4 = u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c + 685 - 775 = 5*c. Let z(p) = -12*p**3 + 4*p**2 + 5*p + 5. Let n(t) = t**3 + t**2 + t + 1. What is c*n(b) - z(b)?\nAnswer: 17*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100733652 and 9936.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -63 + 40 + 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679*z**3 + 363*z**3 - 121*z**3.\nAnswer: -1437*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k + 12. Let l(t) = 11*t - 13. Let i(a) = 5*l(a) + 4*n(a). Let o be i(7). What is the greatest common factor of o and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 2, p: 5, m: 6, w: 3}. Give prob of sequence ym.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1327757725 and 3794?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -354b90ac - 3?\nAnswer: -354b90b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + s - 2005 = -519, -4*s = -4. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*471*2\/24. Suppose -4*v + t + j = -252, v = t + 106. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24975832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/7, 19, -0.9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2574 - -2589. Calculate the remainder when 2064 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 a when four letters picked without replacement from ajeeccexee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -82314*l - 82322*l - 3*l**3 + 164636*l + 1901 as r*l**3 + b*l**2 + o*l + u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24918 by 2.\nAnswer: 12459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -44. Let p = 13 - t. Let h(u) = -9*u. Let f(c) = -28*c. Let z(s) = p*f(s) - 16*h(s). Let g(w) = -9*w. What is g(z(d))?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 5:03 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z + 15. Suppose -23 = -10*m + 7. Suppose 4*t + 8 = 4*s, -t + 16 = m*s + 6. Sort s, z, 15.\nAnswer: z, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2 + 12*q + 189 = 0.\nAnswer: -9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7287 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1754 rounded to 3 dps?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/7 + 2298*c**2 + 97569*c\/7 - 724680 = 0 for c.\nAnswer: -21, 15, 5368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -245, -3, -0.04, 1\/4, 2, 0.3?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2118 and 85997154.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:13 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/3218?\nAnswer: 5\/3218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i + 237. Let l(a) = -28*a - 702. What is 11*k(t) + 4*l(t)?\nAnswer: -2*t - 201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p + 8*p + p. Let j(m) be the first derivative of 19*m**3\/3 + 14. Determine j(g(y)).\nAnswer: 76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:02 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2 - (78 + -71)) + 1 + -26.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -20958072?\nAnswer: -20958071.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - (-26)\/4. Let x = -4 + w. Let o be ((2 - x)\/(-1))\/(-2). Solve o*d = d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/30*0 - 2270\/12. Let i = g + 467\/3. What is the common denominator of i and (-8)\/24 + 74\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 - 4*t**3 - 5*t**2 + 2*t**3 + (5*t - 6*t + 23*t)*(-1 + 1 + 3*t**2) to the form f*t**3 + k*t + s*t**2 + p and give f.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j. Suppose j = -0*d + 5*d - 5. Suppose -i - d = 2. Sort -1, 0, i.\nAnswer: i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-95) + (-1)\/(-5). Calculate the greatest common divisor of 9 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 81?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -6*l - 15, -2*n - 2*l + 6*l = -2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11.5, 1\/3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -20 - 0 - -19\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 237144313*p**2 - 7029678207816324*p + 3514839044622084.\nAnswer: -(p - 59286078)**2*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 10*r - 3. Let w be i(-4). Solve 0 = 4*n - t + w*t + 28, 3*n - 4*t = 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 2. Let u be k(2). Does 12 divide 3 + u\/1 - -27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*s - 25 = -9, 16 = -4*s. Suppose 0 = -8*t + 129 + 63. Suppose 4*l + 18 = 3*d, -4*d + t = -2*l - l. Solve -r*n - d = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5 = 2*r, -2 = -r + 10 - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 27674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5883?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-9)\/(468\/(-16)))\/((-190)\/(-3705)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13c - 1bbc86?\nAnswer: -1bbb47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 722489940 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113\/110 + 8\/11. Let v = 4 - 4.92. Let y = v + -0.08. Which is the second smallest value? (a) y (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20032 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 24. Suppose a + 17 = -2*v + v, 0 = v + 3*a + 13. Let t = -17 - v. Put m, t, 1 in decreasing order.\nAnswer: m, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256*x**4 - 1193664*x**3 + 895152*x**2 - 223780*x + 18648.\nAnswer: 4*(x - 4662)*(4*x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**3 + 652*r**2 + 138*r + 515. Calculate u(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/((-24)\/(-11457)) - 10.\nAnswer: 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/5))**(1\/2)\/((i*i*i\/(i**(-3\/7)\/i)*i)\/(i\/(i**(-20)\/i)*i)) assuming i is positive.\nAnswer: i**(636\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 5 = 5*r. Let k be (-321)\/(-15) - r\/15. Suppose 17*g = k*g - 895. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5981 - 18221 = -51*m. Calculate the smallest common multiple of 3210 and m.\nAnswer: 25680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573420 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -298519 - 93610. Let y = u - 842129. What is y rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*u + 13*u - 29*u - 503*u to the form k + q*u and give q.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122220120112 (base 3) to base 15.\nAnswer: 6e6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5407248 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f + 12. Let s = 22 + f. Solve s*p - 14 = -4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(0 + 1231*k + 0 + 1171*k) to the form o*k + l and give o.\nAnswer: 4804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -23*k + 1. Let d be n(-4). Let c = 139 - d. What is the greatest common factor of 115 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 g, and 1 r when four letters picked without replacement from eryfereyyegffeeeegee?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.58311 times -2\nAnswer: -5.16622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhq when three letters picked without replacement from zzqhzvzzzvvzv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 61, 133, 243, 397?\n\"Answer: u**3 + 10*u**2 + 3*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/7656 and -115\/10208.\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 2, a: 6, y: 2}. Give prob of sequence sea.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/(-2) - (-95)\/475 and ((-954)\/(-250) + -3)\/(-4).\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 1, 5, 2, -5 in increasing order.\nAnswer: -5, 1, 2, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00864225798 to six dps.\nAnswer: -0.008642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13474, 13469, 13464, 13459, 13454, 13449?\nAnswer: 13444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/6)\/((-40)\/144))\/(3\/60).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r. Let a(g) = -g**2 - 6*g - 6. Let j be a(-4). Let u(q) be the first derivative of -q**2 + 187 - 3*q**j + 6*q**2 - 205. Give d(u(x)).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46540?\nAnswer: 2, 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100811 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 + 4*s**2 - 4*s. Let n be -12*(-6 - (-133)\/21). Let m(w) = 6*w**3 + 9*w**2 - 9*w. Calculate n*m(f) + 9*j(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 1, c: 1, y: 2, x: 1, d: 1}. Give prob of picking 1 u, 1 c, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 14*q - 66. Let i = 34 + q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a factor of 56119628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 394*(-6)\/(-4). Suppose -2*u + 4*u = v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 8 - 6 - (11 - 11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 38 = -j, 2*j + 5*w - 16 = 75. Let h = j + -39. Solve 0 = -2*d + 2*f + h, 2*d - 7 = -2*d + 5*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 - 82. Let g = -2 - 1. Calculate the remainder when p is divided by ((-220)\/(-30))\/((-2)\/g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -150645605*o**5\/2 + 12804986205*o**4\/2 - 6331781070*o**3 + 4611610*o**2 - 840*o = 0.\nAnswer: 0, 2\/5489, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -2*z - 5\/2*z**2 - 1\/20*z**5 + 0 - 5\/12*z**4 - 1\/3*z**3. What is the units digit of x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide ((11 + -8)\/3)\/(1\/21871)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 4631289?\nAnswer: 4631289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.09 + 18.09. What is the fourth biggest value in 1\/3, -23, f, 0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181567758.\nAnswer: 2, 3, 43, 797, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 11 + 15 = 2*m, m - 5*l + 22 = 0. Suppose 0 = -3*a - 15, 4*s + 0*s + 77 = 3*a. Let j = s - -30. Solve m*v = j - 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 16. Let j = 10 - n. Let k(r) = r**2 - 9*r + 7. Calculate k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/4)\/((-1)\/44). Suppose 5*c - m = j, -5*j + 2 = 3*c - 1. Solve -4*r + c = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-19\/5)\/k))\/k)**(-2\/103) assuming k is positive.\nAnswer: k**(-48\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 + -3 + -2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/4 + q**2\/2 + 11*q. Differentiate k(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**2 + 301*g**2 + 75*g**2 + 98*g**2.\nAnswer: 502*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*i**2*n**3 - 2*i**2 + 600*n**3 wrt i?\nAnswer: -26*i*n**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q. Let a be n(1). Suppose -4*k + 4*v + 8 = -5*k, -a*k - 5*v = 100. Let w = -793\/4 + 7381\/36. What is the common denominator of w and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 - 268. Let w(l) be the third derivative of -1\/24*l**s + 0*l**3 - 1\/30*l**5 + 0 + 0*l + 2*l**2 - 1\/120*l**6. Factor w(p).\nAnswer: -p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396)*-4 - sqrt(396)) + 6*(-1 + sqrt(396)) + ((sqrt(396) - 4*(sqrt(396) - sqrt(396)*-2)) + -4)*2)**2.\nAnswer: 1512*sqrt(11) + 32272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from dddvffvvfvvjdvbv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 25*b + 72. Let v be t(20). What is the units digit of 9\/(((-24)\/v)\/((-328)\/(-14)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3518613, 7037241, 10555885, 14074551, 17593245, 21111973?\nAnswer: 24630741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 271, 281, 295, 313, 335, 361?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 992565 and 50416?\nAnswer: 15881040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 658769851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 379*v + 22. Calculate the least common multiple of 178 and s(0).\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 31.3, 2066, -4 in ascending order.\nAnswer: -4, 0.5, 31.3, 2066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 43 - 197 = 0. Calculate the highest common factor of u and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*o**3 - 7*o**3 + 19*o**3.\nAnswer: -105*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 31*g**3 - 21*g**2 - 3*g. Let d(z) = -30*z**3 + 22*z**2 + 2*z. Let x(k) = -3*d(k) - 2*y(k). What is the third derivative of x(c) wrt c?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 6*n - 2. Let x be 38*2\/(-16) + (-7)\/28. What is q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -107, -155, -205, -257, -311?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 205, 207, 209, 211?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -136695, -272699, -408703?\n\"Answer: -136004*s - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(9)*-2*-6) + -2 - -3*-2*sqrt(9)\/sqrt(147))**2.\nAnswer: 65*sqrt(3)\/21 + 13633\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15848*t - 17695*t - 10319*t.\nAnswer: -43862*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52 + 12 + 5*i**2 - 30*i**2 wrt i.\nAnswer: -50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 20 - 30056\/(-1547)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 21*g**3 + 23*g**3 + 2*g**2.\nAnswer: 2*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x = 73 + 62 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 32442200?\nAnswer: -32442201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17*2\/(-8 - -10). Solve k*w = 13*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 - ((33 - 33) + 37)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8377035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and -51.81912.\nAnswer: -2850.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.428072 minutes?\nAnswer: 325684.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152437462657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {q: 2, c: 2, p: 1, d: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5847.89 - -5848. Let z = 4.03 - 0.03. Sort -1, 3, m, z in decreasing order.\nAnswer: z, 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 795662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1931619018 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -9 + 0 + -3 + (0 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26753.\nAnswer: 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 3, 5, 1 in increasing order.\nAnswer: -13, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 22*g + 69. Calculate j(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**2 - 613*g - 385. What is l(62)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 13*b**3\/3 + 3*b**2 + 19*b - 98. What is the tens digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.63 - -2.13. What is the closest to 1\/3 in g, 15, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 5*a - 15, 8 = 4*a. Let g(f) be the second derivative of -3 + 1\/2*f**2 + 1\/2*f**3 - f. Calculate g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 944*v**3\/3 + 1657*v**2\/2 + 1395*v. What is the derivative of s(o) wrt o?\nAnswer: 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z**2 + 3*z + (-1 + 1 + 1)*(-z + z + 2*z**2) + 4*z**2 - 5*z**2 - 3*z**2 + (6*z - z - 3*z)*(z - 3*z - z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -701 (c) -20 (d) -2\/1523 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 - 68423943*d + 68423943*d.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s. Let d(n) = -82*n**2 - 22*n. What is x(d(z))?\nAnswer: -328*z**2 - 88*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d*d**6)\/d)*d*(d**(1\/4)*d)\/d)\/(d**6\/(d*d**(-3)*d)))\/(d**6\/d**5*((d*d\/(d\/d**(-1)))\/d)**(5\/6)) assuming d is positive.\nAnswer: d**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7401540271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*q + 4408 = 914*q - 310*q - 191*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 = -2*n, 0 = 3*n - 3*w + 1 - 31. Let h = -69668 - -69668.25. Put n, h, 4 in descending order.\nAnswer: n, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*((((b**(-3)*b*b)\/b)\/b)\/b)\/b*(b**(-2\/7)\/b)**(18\/11))**34 assuming b is positive.\nAnswer: b**(-18598\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 138.7. Let u be (-5)\/(-7)*(-102)\/(-510). Is g <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 7. Let q(b) = b**2 + 10*b + 5. Let c be q(k). What is the nearest to -1 in -3\/5, c, 2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -19*w. Let h(x) = -8*x + 6. Let q(c) = 7*c - 5. Let s(z) = -5*h(z) - 6*q(z). Determine s(a(j)).\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.36 + 6.13. Let l = n + -10. Let w = l + -0.29. Which is the third biggest value? (a) 2\/7 (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/70 - (-9)\/(-15). Do f and 0.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22081 - 12532. List the prime factors of t.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 19*h**2 - 21*h + 19. Let y be g(20). Let k = 56.5 - 56.49. Which is the third biggest value? (a) 0.06 (b) y (c) k (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273*a**2*m**2*u**2 - 2*a**2*u - 2*a*m**2*u**2 + 2358*a*m*u + 2*a*m - 3*m**2 - 3*m*u**2 wrt m?\nAnswer: 546*a**2*u**2 - 4*a*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -268504, -536927, -805348, -1073767, -1342184?\n\"Answer: q**2 - 268426*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from wccnwn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12932616*z - 5720618?\nAnswer: 12932616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 (base 8) in base 12?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219632281.\nAnswer: 11, 523, 38177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2 = 0, 5*k - 5*i + 3 = 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/96)\/((-1161)\/54 + 21).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021459.\nAnswer: 11, 127, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 886 - -13584\nAnswer: 14470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 23 = -0*b - 2*b, -5*b = 4*y - 46. Let w(h) = 11*h - 202. Let a be w(20). What is the highest common divisor of a and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 + 44*c**2 + 11*c + 11. Let p(t) = t**3 + 9*t**2 + 2*t + 2. Let w(a) = a**3 - 27*a**2 + 27*a + 577. Let f be w(25). Give f*k(i) - 11*p(i).\nAnswer: -i**3 - 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 53710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*m, -1 = a + 2*m - m. Suppose a*i - 56 = -0*u + 4*u, -4*i = -5*u - 70. Let z be (-54)\/(-10) + u\/35. Solve -3*c - 2 = -z*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -32, -105, -216, -365?\n\"Answer: -19*y**2 + 22*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -29, -94, 4, 5, -4 in descending order.\nAnswer: 5, 4, -1, -4, -29, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1508.3 - 0.1?\nAnswer: -1508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/30, -6\/5, 5\/2, 493 in descending order.\nAnswer: 493, 5\/2, -1\/30, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -23, 9, 97, 265, 537?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14594*h**3 - 6799*h**2 + 11942*h + 2261*h**2 + 2273*h**2 + 2265*h**2 wrt h.\nAnswer: -87564*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 4*j**2 - 1 + j**2 to the form b*j + h + t*j**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11)*w**(9\/4))**43 assuming w is positive.\nAnswer: w**(3913\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.1 - -11. Let c = -2.737 - -0.037. Let f = c - -4.7. Put 5, f, s in decreasing order.\nAnswer: 5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 1\/3*b**3 + 0*b + 0*b**2 - 8. Let r(y) = -11*y + 165. Let m(u) = 3. Let h(j) = -55*m(j) + r(j). Give o(h(w)).\nAnswer: 121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 32 = -i, 5*i + 2*i + 35 = 2*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1085 - 512 - 2*w**2 + 3*w - 539 in the form h*w + u + q*w**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/70)\/(-8))\/((-1)\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q + 1. Let t be x(1). What are the prime factors of ((-1)\/2)\/(t\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23201300 - -131?\nAnswer: -23201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4 - 6*f + 5*f**2 + 13*f - 12*f. Let x(h) = -h**2 + h + 1. Let k(t) = m(t) + 4*x(t). Factor k(y).\nAnswer: y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21741 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**23*(b**(-1))**(-10\/11) assuming b is positive.\nAnswer: b**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 875187780 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*x - m, -3*m + 16 = 5*x - 87. Suppose 2*k - 4*i = -22, 0*k + 3*i = 5*k + x. Let s(f) = 2*f - 1. What is s(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-9)\/(-12)*-2. Suppose w*l = -9, 58 = 5*c - 5*l - 2742. Suppose 2*d + 205 = c. What is the greatest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 1) + (-2)\/1. Suppose -13 = 4*x + s. Let j = -1.6 + -0.4. What is the nearest to 0 in x, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 3, -25, 52 in increasing order.\nAnswer: -25, 1, 3, 52, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/15 + 94*b**3\/5 - 116*b**2 + 3512*b\/15 - 784\/5.\nAnswer: 2*(b - 2)**3*(b + 147)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470432512 to the nearest integer?\nAnswer: 38346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = -5*s + 9, 15 = 3*s - 3*z. Is 54\/11 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 5, 4671, -2 in decreasing order.\nAnswer: 4671, 32, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x - 1\/3*x**3 - 1 + 0*x**2. Let j(a) be the first derivative of 2*a**2 - 22. Give j(i(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20167056 a multiple of 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-24) - ((-6)\/9 - 0). Which is the nearest to -0.1? (a) v (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5644, -5645, -5646, -5647?\nAnswer: -5648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1109497204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:09 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose 5*k - 2*k = l*q - 15, -k - 13 = -3*q. What is the remainder when 13 is divided by -2*(k + -5 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (31 + (15 - 50))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9272*u = 18154*u - 9085*u - 16037 for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 + -0.04. Let x = -0.06 - s. Let j be ((-20)\/(-2310)*11)\/(3\/7). Which is the closest to j? (a) x (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 3 - 3)*(-3*i + 3*i + 3 - i).\nAnswer: -4*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, 4 in decreasing order.\nAnswer: 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -9*v**4\/4 + v**3\/3 - v + 3. Suppose -4*s + 7*s = 3. Let w be y(s). Is w >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206*c**4 + 48*c**2 - 3*c wrt c?\nAnswer: -4944*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8473 - -8578. Solve -87*m + 72*m + a = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 3*f = 0, 2*l = f. Suppose l = p + 2*p - 6. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**2 - 7*i + 5. Let t(o) = -15*o**2 - 13*o + 9. Suppose -2*f - 27 = 5*p, -5*p = 71*f - 66*f + 60. Determine f*d(x) + 6*t(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6213861 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let x = d - -3. Suppose 48 = x*s - 2*s. Solve 0 = -3*z + s - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 274446300 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12b6 + -88ef?\nAnswer: -9ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*z**6 - 4587*z**4 + 37*z**2 - 2673*z - 1 wrt z?\nAnswer: -960*z**3 - 110088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8 + 2*r - 8 - 4*r. Let z(j) be the third derivative of -1\/6*j**4 + 0*j**3 + 2*j**2 + 0*j + 0. What is z(s(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 28 + 3. Suppose -8 = -g*b + 17. Sort b, -2, 15 in increasing order.\nAnswer: -2, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 + 6*h - 7. Let i be v(-8). Let g = i + -62. What are the prime factors of 140\/g + 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:46 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 9, -1, -2 in decreasing order.\nAnswer: 9, 5, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*y - 4, -a - 85*y - 4 = -79*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - s - s + 6*s. Let f(g) = -2*g - 3*g**2 + 2*g. Give p(f(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Let w be (-6)\/(-2) + 3 - 2. Suppose -4*p = -3*p + w*h - 22, 0 = -p - 2*h + 12. What is the least common multiple of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 11*f - 6 = 0. Let m(w) = -w**2 + w**f + w - 13*w**3 - w**2 + 8 - 9. Determine m(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9319.95 plus -18521831?\nAnswer: -18531150.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*1)\/(24\/32). Let k be 7 - (-2 + (1 - -2)). What is the greatest common divisor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 7*l + 11*l = 0. Let z = 1291\/40 - 162\/5. Which is the nearest to l? (a) 22 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29800 + -16795. What are the prime factors of j?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycri when four letters picked without replacement from {o: 1, r: 5, i: 4, y: 3, c: 5}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {q: 1, p: 5, r: 11}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**4\/7 - 15248*w**3 - 712569236*w**2\/7 - 7115022760*w\/7 = 0.\nAnswer: -13337, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -6 (c) 2\/3 (d) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (765\/27)\/(2\/6). Suppose -3*c = -b + 28. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1331) - ((sqrt(11) + 1)*-2 + sqrt(132)\/(sqrt(60)\/sqrt(5))))**2*-5.\nAnswer: -5520 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -f + 4*u, -3*f - 4721*u + 4727*u - 18 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 - 5\/14*z**4 + 25\/7*z**3 + 1\/70*z**5 + 83*z - 125\/7*z**2. Suppose t(a) = 0. Calculate a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 - -414. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23806 divided by -1\nAnswer: 23806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103387 is divided by 25846.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011111110011001 (base 2) to base 15.\nAnswer: 11783b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2)*(-5*t**3 - 2 + 2) + 2*t**4 + 3*t**2 - 3*t**2.\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-5)\/(-115) + (79222\/(-598))\/11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 20*q + 2)*(-5*q + 12*q + 10*q) + 2*q - 2*q - 3*q**2.\nAnswer: -343*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/2 - 230*q**2 - 26450*q = 0.\nAnswer: -230, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and 40\/261?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 473\nAnswer: 6\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 716 (b) -0.5 (c) -3\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 141, 142, 143, 144, 145?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8 - 17. Sort t, -2, 3, -5 in decreasing order.\nAnswer: t, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teettuee. What is prob of picking 1 t and 1 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-12) - (-7350)\/(-300))\/((-14)\/3 + 5).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159735.\nAnswer: 3, 5, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15012 take away 78098.01?\nAnswer: -93110.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6261 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x - 54. Let r be s(-18). Is r\/(-2) - (-4 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187191 is divided by 187115.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1368 and -75\/40508.\nAnswer: 729144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -421*x - 20*x**6 + 194*x + 622*x**6 + 3*x**2 wrt x.\nAnswer: 72240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325 and 5?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 95 + -106 + 48?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35582*j**3 - 3*j + j + 2*j - 35584*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)*y)\/y**26)**(-37) assuming y is positive.\nAnswer: y**(6549\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8*(-11 + -1). Suppose -2*b + 2468 = l*m, 29*m - 4*b = 32*m - 2464. List the prime factors of m.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/9, 3, 4, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26378864 + -3?\nAnswer: -26378867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 3053.\nAnswer: 9159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 580899, 1163146, 1745391, 2327634?\n\"Answer: -c**2 + 582250*c - 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.93, -33, -3 in decreasing order.\nAnswer: -2.93, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*a**2*i + 10*a**2 - 30*a*i + 2*a + 2*i - 165 wrt a.\nAnswer: -170*i + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.006734 - -0.493239. Let s = 0 - 0.5. Let t = q + s. Round t to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 10) to base 8\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12065 and 37829?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 888*o**3 - 4*o**2 - 235570*o.\nAnswer: 5328*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2*2 - 2. Solve 3 = b - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -25, 4*w + r + 34 = -23. Let b = w - -23. Does 14 divide (-4)\/10 - (-144)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11677176 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -14. Suppose 6*p = j*p + 33. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 350881*g\/2 + 58480.\nAnswer: (g + 116960)*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((12 - -5 - 1) + 1 + -10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-42)\/(-231)*(-59)\/(-4) and 41\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2302 - -2353 - (9 - (-6 - (-2 - 1))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -6, 17, 23, -5 in descending order.\nAnswer: 23, 17, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 r, and 1 i when four letters picked without replacement from iiqqiiqrirrqqzr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -178*r. Let u(d) = -139*d - 1. Calculate u(q(c)).\nAnswer: 24742*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Let r = 0 - -2. Let u(a) = 4*a - 2 - f*a - 5 - r*a. Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21021 (base 4) to base 9\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3 + 8*u + 1 + 2 - 8. Let q be f(-3). Let p = q + 36. Solve a = -3*m + 2 + 2, -a + p = 5*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x*x*x**(-3\/5)*x)*x*x\/x**(2\/9)*(x*x\/(x*x**(-3\/8)))\/x**7)\/((x*(x*x**(-2\/3)*x*x)\/x*x*x)**(3\/7)*x**2*x*x\/(x\/x**(5\/6)*x)*x) assuming x is positive.\nAnswer: x**(-27563\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 24. Let p = v + -7. Let r(s) = -s**2 + 7*s - 5. Let q be r(p). Solve 2*l - 3*l = -q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*q**2 - 16*q**2 - 17*q**2 - 16*q**2 - 33*q**2 - 14*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/150 - 5*x**4\/12 + 2*x**2 - 2*x + 30. Let y(h) be the second derivative of q(h). Solve y(f) = 0 for f.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 62 (b) -9\/7 (c) 0.11 (d) -3 (e) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -531890, -531892, -531896, -531902, -531910, -531920?\n\"Answer: -b**2 + b - 531890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 3*a = 966. Suppose 0 = 11*h - 2130 + a. Suppose -5*s + 31 = -h. Which is smaller: 43 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 3, 28975, 5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 - -249.976. Let a = c + -0.276. Put a, -5, -1, 3 in increasing order.\nAnswer: -5, -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3cd1bb61 - 2?\nAnswer: -3cd1bb63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 - -13.9. Let g = -301.69 + 290. Let y = f + g. What is y rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Let y(p) = -p - 1. Let l(q) be the first derivative of 4*q**2 + 8*q + 4. Suppose 5*c - 9 - 21 = 0. Calculate c*y(i) + z*l(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:59 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 53. What is the highest common divisor of o and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 5*j**2 + 35*j - 19. What is the units digit of i(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 + 2*p - 10. Let v be g(6). What is the second derivative of -87*b**2 + 2 + b**v + 21*b**2 - b wrt b?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 27 + -16 + 1 - (7 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsou when four letters picked without replacement from sooussouodssodsss?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5571 + 5592. What is the fourth biggest value in -0.5, r, -1\/4, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 71. Let y(m) = 7*m + 42. Let v be y(-6). Factor 75\/2*k**5 + 15\/2*k**4 + 0*k + 6*k**2 - p*k**3 + v.\nAnswer: 3*k**2*(k + 1)*(5*k - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/87 and -59\/3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4232 + -15232?\nAnswer: -23504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205.019 rounded to the nearest ten?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 100 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 17. Let i be 44 + z*(6 + -4). List the prime factors of (-392)\/i*(-6)\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 12. Let l be p(-6). Let i = -9 + l. Let q(s) = -s**2 - 9*s. Let z be q(i). Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324649 + 117*o**2 + 1324649 - o + o.\nAnswer: 117*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 4. List the prime factors of x(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g - 7*g + g - 4. Let f be n(6). Solve -f*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*25\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45453*c = 4*i + 45450*c + 33, -5*c + 20 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 417023339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:28 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*x - 60905 - 20606. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 20 = -2*j. Let u = 515 - 511. Solve -15 - j = -u*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 749*n**6\/60 - 359*n**4\/8 - n**2 + 74*n. Find the second derivative of d(u) wrt u.\nAnswer: 8988*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3 - 5 + 0*u**3 + 8*u - 5*u**3. Let m(k) = 2*k**3 - 3*k + 3. Suppose 5*g + 13 = c, c - 6 = -2*g - 0*g. Determine c*m(a) + 3*q(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/15 - (1 + (-35)\/25). Which is the nearest to 0.3? (a) -6 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 231113862, 231113869, 231113876?\n\"Answer: 7*t + 231113855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4093961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 150 = -3*l. Is (-1086)\/(-10) + (-12)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 24*u**2 - 113*u + 50. What is the thousands digit of o(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let i = 315 - 317. Put m, 2, i in decreasing order.\nAnswer: 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -50, -2\/7, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 4*n**3\/3 - 4*n + 146. Solve b(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698928, 1397871, 2096818, 2795769?\nAnswer: 3494724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37330507321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/15 (c) 10 (d) 1\/66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -5*m + 20, 5 = 5*r. Let z = -5 - -10. Let 18*t**m - t**3 - 2*t**3 - 6*t**z - 9*t**4 = 0. Calculate t.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 - 284. Which is the biggest value? (a) -0.5 (b) -22 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*m*q**4 - m*q**3 + m*q**2 - 40*m*q - 6*m wrt q?\nAnswer: -3072*m*q - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 3. Let o be g(-3). Suppose o = 2*x + x - 225. Let v = 16099 + -16069. Calculate the highest common divisor of x and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, and 1 a when three letters picked without replacement from {v: 2, j: 7, a: 1, q: 1, z: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 p, and 1 c when four letters picked without replacement from uphppupuphuhcp.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = u + 5*l - 11, -25 + 79 = 269*u - 271*u - 28*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) 10\/3 (c) -0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 4. What is b(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, -1, -197, -5.\nAnswer: -197, -5, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 50*c - 3. Calculate the remainder when 385 is divided by r(2).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7557843 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874738869.\nAnswer: 3, 291579623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55022896 divided by 4.\nAnswer: -13755724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w. Let t = -1 - w. Let i be t\/(-2) - (-28)\/(-88). Put -0.4, i, -3\/5 in ascending order.\nAnswer: -3\/5, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 4*d. Let p(t) = 7*t**2 + 9*t. Let r(s) = -s + 24. Let k be r(0). Suppose -k = -4*n - 4. Let b = 0 + -2. Calculate b*p(u) + n*x(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61750 and 33060.\nAnswer: 10744500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:20 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 18490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 8 = -b. What is the lowest common multiple of b and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 41. Suppose -4*o + 0*s - s = -9, o - 3*s + 1 = 0. Suppose 5*f = 4*v - 5, 5*v + c = -0*f - o*f. Is 1\/6 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-20)*15\/10*(-8)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*j + 421, -2*j = -5*j + o + 321. Let z = j + -67. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekk when three letters picked without replacement from {i: 6, g: 1, e: 1, a: 4, k: 3, n: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-3\/19)*(g\/(g\/(g*g*g**2)))\/(g**7*g)*((g\/(g\/(g\/(g**(3\/4)\/g))*g))\/(g\/(g**(-1\/2)\/g)*g))**(-11) assuming g is positive.\nAnswer: g**(2401\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 13*r**2 + 28*r + 29. Let h be j(15). Let b be (-548)\/(-140) + h - (-10)\/35. Factor -14\/5*z**4 - 4\/5*z**2 + 4\/5*z + 2\/5 - 4\/5*z**5 - b*z**3.\nAnswer: -2*(z + 1)**4*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 + 1. Let g be c(1). Let w = 103 + -313\/3. Is w >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1088) + sqrt(1088)*1) + sqrt(1088) + (-2*sqrt(1088) - sqrt(1088)) + 1)**2 + -1.\nAnswer: -64*sqrt(17) + 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 (base 3) in base 2?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1625 (base 10) to base 8.\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3213328 and 6.22227?\nAnswer: 3213321.77773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39581519.2 rounded to the nearest one hundred thousand?\nAnswer: 39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -113. Sort i, -0.41, -2\/3.\nAnswer: i, -2\/3, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4604 + -5?\nAnswer: -4612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c - 3. Suppose -18 = 214*r - 208*r. Sort r, 3, -4, c.\nAnswer: -4, r, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*k + 29, 0 = -k - 13*r + 9*r - 27 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -9567, -6 in descending order.\nAnswer: 3, 0, -6, -9567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.4 (b) 158 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 570, 1138, 1706, 2274, 2842, 3410?\n\"Answer: 568*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 23231816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3634*j**2 - 1312*j + 438*j + 433*j + 441*j + 1694 wrt j.\nAnswer: 7268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 - 215096123.\nAnswer: -215096225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -11. Suppose k*g + 31 = 3*g. Suppose -3*z + g = -5. Solve -3*j = x + 2*x + z, -5*j - x - 8 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 + 7*y**2 + 1 + 4 + (3 - 7 + 3)*(2*y**2 + y - y) - y**2 + 2*y**2 - 2*y**2 - y**2 - y + y.\nAnswer: -3*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - 3) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 29. Let r be (3\/d)\/(2\/(-10)). Solve 5*u - 6 + r = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 390\/6*4\/52. Solve -3*z + f*t + 20 = 41, -t - 1 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 b when four letters picked without replacement from {b: 4, h: 10}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-12 - (3 - (-7 - 3)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 2905\/29?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 - 7*g - 9. Let q(z) = -5*z**2 - 4*z - 5. Let d(w) = 7*q(w) - 4*r(w). Let a(s) = s + 6. Let y be a(-5). What are the prime factors of d(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((586 + 3)\/1)\/(20\/20). Let v = l - 386. List the prime factors of v.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q - 75*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4043 (base 5) to base 15.\nAnswer: 24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 615864 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceccevxcccvccxvev. What is prob of picking 1 c and 1 e?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 - 26. What is x(7)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 2150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257816896 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + (sqrt(117) - (-2*sqrt(117) + sqrt(117)))\/sqrt(9).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 719879 + -202699486\nAnswer: -201979607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d5c826 - -1c?\nAnswer: 1d5c844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(6\/(-1) + -9). Let l(o) = -203 + y - 2*o**2 + 98. Let t(w) = w. Give t(l(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53476136 is divided by 1153.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28083 - -75527. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25b96 (base 13) in base 11?\nAnswer: 48728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + 1 - (-2 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 + -182. Which is the smallest value? (a) -1.9 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70544\/396810)\/(8\/220*(-2)\/(-2)).\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185540 + 33*i**4 - 136*i**4 + 186050 wrt i?\nAnswer: -412*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.1 - -32.961. Let u = d + 0.139. Which is the closest to -0.01? (a) -1\/7 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:28 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/4 - 33*a**3\/2 - 288*a**2 - 512*a = 0. What is a?\nAnswer: -32, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 11) to base 15.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 78*v**2 + 3*v - 7. Let q be b(-6). Suppose -2*k + 9231 = 5*c, 3*c + 3*k - q - 2752 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73122252, 146244506, 219366762, 292489020, 365611280, 438733542, 511855806?\nAnswer: 584978072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 6*n**3 - 2*n**3)*(-3*n**2 + 0*n**2 + n**2) - n**5 - 2*n + 2*n + (-10*n + 6*n + 11*n)*(-3 + 28*n**4 + 3).\nAnswer: 191*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z + 6. Suppose 3*h - 5 = -l, 0 = 5*h - 0*h + 4*l - 20. What is u(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8) - -2 - -2. Let d = -13\/2 - -6. What is the closest to d in w, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036978519 rounded to 7 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -112*j - 115. Let g be b(-4). Suppose 4*i = -3*w + 148, -2*w = 3*i + 12 - 123. What is the highest common factor of g and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 10 (b) -0.8 (c) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(3510\/26)*(1 - (-2)\/(-2)). Let l(m) = -2 - 2 + 2*m + 3*m. Let a be l(n). Let c(b) = -3*b - 6. Give c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72749117*f*u - 2*f + 2077*u + 33941 wrt f?\nAnswer: 72749117*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 49. Let j = n + 74. Let f = -40 + j. Which is the fourth smallest value? (a) f (b) 3\/2 (c) 2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33975829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 8*u + 18*u - 8*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -x + 2*c + 6, -x + 3*c - 1 = 0. Let n = -90 + 136. Calculate the lowest common multiple of n and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*((u**(-13)*u*u)\/u)\/u)\/u*u*u*u\/(u\/((u*u*(u\/u**(-10\/7))\/u)\/u)*u))\/((u\/(u\/(u\/(u*u**1\/u)))*u)\/(u**(10\/3)*u*u)) assuming u is positive.\nAnswer: u**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6\/37 (b) 12 (c) -291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*s**5 + s**4 + 1586205*s**2 + 7143605*s wrt s.\nAnswer: -200*s**3 + 12*s**2 + 3172410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.429 take away -4879087?\nAnswer: 4879119.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*f + 3)*(0 - 3 - 3 + 2 - 1 + 7 + (-3 - 3 + 5)*(0 - 1 + 0))*(-1 - 1 + 1).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-2)*(-8)\/(-12). Let g be (f\/(-3))\/((-5)\/15). Suppose 5*j - 4*u = 0, -2*j - 12 + g = -3*u. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2758 and 20314?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 16. Let d = 21 + z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let j be k(2). Suppose -f = -2*f - j*v + 56, -v + 4 = 0. Calculate the remainder when f is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 + 2*q + 7. Suppose 231*h - 244*h = 0. Let m be d(h). Solve 3 = m*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 m when four letters picked without replacement from {g: 2, m: 10}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 5. Suppose -4*r + 1249 = -51. Suppose -126 = -2*f + 5*a, -4*a = -5*f - 10 + r. What is the highest common factor of p and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.3 in 1, 0.02, 0.1, 39?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 31. Solve -n = i*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-26 + 39) + -18 + (0 - 448\/(-222))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 56. Suppose -20 = p*j - 5*i, 2*j + 4*i + 8 - 24 = 0. Let c be (0 + 2)*(j - -1). Solve -3*f = c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {p: 3, e: 3, h: 2, i: 1, z: 5, x: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**3 + s**2. Let w be k(-1). Suppose -3*j - 2 = -j. Let d = w - j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 7*v**2 - 3*v + 12. Calculate n(8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2474*u - 175*u + 1588*u - 301*u + 2105*u)*(3 + 2 - 7) in the form t*u + c and give t.\nAnswer: -11382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwvv when four letters picked without replacement from znvznzvnzwyzzzzzzz?\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and -113149\/2728 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45024701.\nAnswer: 45024701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3642 = 135*i - 13536 - 96 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -557*d**5*v + 736*d**3*v - 2*d**3 + 2719*d**2*v + 8*d**2 + 3*d*v wrt d?\nAnswer: -33420*d**2*v + 4416*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 12*u + 113. What is the remainder when k(-7) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -1 - -2 - (960 + -1016)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -24 + 10 + a + 8 + 2. Determine l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2. Let t(c) be the first derivative of -c**3 + 17*c - 17*c + 3. Give t(r(b)).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (9400\/(-35) - 0)\/((-10)\/35*1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -52963\nAnswer: 4\/52963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -776 + 775. Let x(y) be the first derivative of 15*y**4\/4 + 2*y**3\/3 + y**2\/2 + 13. Give x(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 0 + 1\/12*a**4 + 0*a**3 + 10*a + 0*a**2. Let v(b) = 2*b**2 + 3*b**2 - b**2 + 2*b**2. Calculate o(v(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/175 + (1 - (-58)\/(-203)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/25010 and -161\/240.\nAnswer: 600240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.95 + -1.63. Round q to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5151860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1674*v - 3604*v = -154400 for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + h**3 - 5*h**2 + 3*h.\nAnswer: h*(h - 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:58 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 36*v + 128. Let o(r) = -24*r - 80. Let z(u) = -5*j(u) - 8*o(u). Let d(m) = -2*m. Let i(p) = -8*p. Let x(h) = -d(h) - i(h). What is x(z(a))?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68872439?\nAnswer: 68872439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/3)\/3*(38\/(1976\/(-3354)))\/(-12)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 26*v - 24855 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 23*t - 104. Let q be h(16). Suppose -23*z + 3405 = -q*z. List the prime factors of z.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 247 in descending order.\nAnswer: 247, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(48)\/sqrt(6))\/sqrt(4))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 2109720547.\nAnswer: -2109720551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7251161 micrometers to kilometers.\nAnswer: 0.0000000007251161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = -9. Suppose -4*p - 5*k = -64, -p + 5*k = g*p - 64. What is the greatest common factor of p and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 446 - 442. What is the least common multiple of 12 and -7*(q\/(-7) + 70\/(-245))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1184 and 2288228?\nAnswer: 18305824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22365*x**3 + 1968*x**3 - 2457*x**3.\nAnswer: 21876*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -4*k - 118. What is the nearest to 0.12 in -1, -4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5840 - 5850. What is the nearest to 0.05 in 10\/9, w, -2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/24648 and 73\/208.\nAnswer: 49296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-6)*27\/18. Suppose 0 = -i*w + w. Factor w - 2\/11*h**3 + 4\/11*h - 2\/11*h**2.\nAnswer: -2*h*(h - 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3380428 and 55\/647316?\nAnswer: 30423852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 0 + 0)*(-5*m**4 + 2*m**4 + 5*m**4 + (479 - 479 - 31*m**4)*(2 - 4 + 3)).\nAnswer: -116*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3236139, 12944547, 29125221, 51778161, 80903367, 116500839, 158570577?\nAnswer: 207112581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 4}. Give prob of picking 3 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:52 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 5*w - 3*c, w = -4*c - 13. Let g = 2 + w. Let x = g - -1. Solve -7 = -3*b + 4*y + 10, -x*b + 5*y = -16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*n**3*s**3 - n**3*s**2 + 64*n**3 + 405*n**2*s**2 + 2*n*s**3 - n*s**2 + 3*n*s + 425*s**4 wrt s.\nAnswer: 66*n**3 + 12*n + 10200*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142192 - 142206.00164. Let b = -14 - x. Round b to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**2)**1)**(-11))**(7\/10) assuming u is positive.\nAnswer: u**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 4\/(8\/(-19))*16*17\/(-544)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3489 divided by -27.\nAnswer: -1163\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/17 in 0.2, -0.2, 18, -111, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 31. Suppose 8*h + 242 = o*h. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42444 divided by 21222?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1960 + -1969. Sort g, -5, -18, -2\/13 in decreasing order.\nAnswer: -2\/13, -5, g, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c - 4 - 10*c**2 + 3*c + 9*c**2 + 0*c. Let x be b(9). Let m = 146 + -145. Sort x, m, -3 in decreasing order.\nAnswer: m, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7*d = 2*d + 15, 4*k + 2*d - 6 = 0. Suppose k = -4*w - w. Suppose w = -5*j + 23 + 17. What is the lowest common multiple of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2 - -1)\/(-1) - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2582.04981 rounded to 1 dp?\nAnswer: -2582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2656, -2642, -2628, -2614, -2600?\nAnswer: -2586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6430689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46305\/13 + 3566. Let o = 54913\/8 - 6864. What is the common denominator of f and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8.01. Let u = 0.09 + o. What is the nearest to u in 2, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 160410, 641359, 1442902, 2565045, 4007794, 5771155, 7855134?\n\"Answer: f**3 + 160291*f**2 + 69*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 10\/4)\/(36\/12). Let z = -1.2 + 5.1. Let g = -4 + z. What is the biggest value in g, d, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48051823 to the nearest integer?\nAnswer: 6932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -98300 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139583 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325621, 324950, 324279, 323608, 322937, 322266?\nAnswer: 321595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c84 (base 13) to base 12.\nAnswer: 5073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from kflykyhfyvlfyff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -352, -3, 2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38567, 77108, 115647, 154184, 192719, 231252, 269783?\n\"Answer: -s**2 + 38544*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -1 + (sqrt(63) - (2 + sqrt(6300))))**2.\nAnswer: 594*sqrt(7) + 5224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.27 - 1.3. Let p = j + -3.97. Let r = 3 + p. Which is the nearest to -1? (a) r (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -0.1, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 30*u**2 + 7*u + 8. Is z(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2 - (-4 - -8)). Suppose b*z - 6 = 4*z. Let r be z\/((8\/(-78))\/(-4)). Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*y**2 - 1\/4*y**4 - 457\/2*y + 393\/4 - 63\/2*y**3 = 0. Calculate y.\nAnswer: -131, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -171, -2, -4.5, 1?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107398 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: In base 8, what is -370 - -622722?\nAnswer: 622332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/(-48)*(-2)\/(-5)*138\/2277*66.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -29. Let h(u) = -35*u + 13. Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15\/i)**(8\/5)*i*i**(-29\/3)*i**26 assuming i is positive.\nAnswer: i**(596\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 15*v + 16. Let g = 11 - 8. Let t = g - 3.1. Which is the third biggest value? (a) t (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6, 0, 106398 in increasing order.\nAnswer: -7, 0, 6, 106398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26842023 is divided by 11078?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(2 + -3 + sqrt(1377)))**2 + 1*-3*(sqrt(1377) - 1*sqrt(1377))*5.\nAnswer: -162*sqrt(17) + 12400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1400549327 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-68)\/204.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243589 is divided by 368.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1943296*h**4 + 3*h**3 + 9*h**2 - 180819289*h wrt h.\nAnswer: 23319552*h**2 + 18*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -5, 2, 6172 in increasing order.\nAnswer: -5, 0, 2, 3, 6172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40951 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2435.6 days?\nAnswer: 58454.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/((-23)\/((-1288)\/(-80))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - 1)\/(-2*(-3)\/(-15)). Let d be ((72\/z)\/(-3))\/(2\/(-30)). Solve -q + 4*q = -3*v - d, 3*v = 4*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3368 + 3388 = 5*u, 10 = -c - 5*u for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 19 = 2*i, 4*i - 110 = -i - 5*q. Suppose -3*y + i - 5 = 0. Is (-1)\/y + (-49)\/(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u**2 + 513*u - 3339. Determine s(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36 + (-6)\/3 + -1. Suppose -3 = v - c. What is the greatest common divisor of v and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o. Let a(k) = -5089*k**2. Calculate i(a(n)).\nAnswer: -20356*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100, -1059, -956, -761, -444, 25, 676?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 + 77.24. Let z = h + -73. Do z and 20\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79530 at most -79531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ed41 (base 15) in base 3?\nAnswer: 2112220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18\/31 + 101\/93. Let n(z) be the first derivative of -4\/3*z**4 + 32\/45*z**5 - 1 - 46\/27*z**3 - 4\/9*z + x*z**2. Find h, given that n(h) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 862061 - 5691061. What is a rounded to the nearest 10000?\nAnswer: -4830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 0\/(-2). Let o = -480 - -620. Let n = -143 + o. Which is the third smallest value? (a) -2\/5 (b) k (c) n (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 4, g: 1}. Give prob of sequence rvvg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -513603 (base 8) in base 3?\nAnswer: -22122000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-53)\/(19080\/(-48))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -326983 greater than -728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3957083 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1221599, 2443202, 3664817, 4886444, 6108083?\n\"Answer: 6*l**2 + 1221585*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**2 - 10*o - 13. Let m(t) = t. Let q(n) = -b(n) - 3*m(n). Does 16 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 185 + 48*h - 20*h + 7*h - 20*h - 32 as f + p*h and give f.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21375 is divided by 10673.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -604519*f**3*n**2 + f**2*n**2 + 15*f**2 - 836*f*n**2 wrt f?\nAnswer: -3627114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -0.4, -3205117 in ascending order.\nAnswer: -3205117, -0.4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-139 + (-6640)\/83)*(-2)\/(-6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h = -4*c + 2*c - 73*h + 2, 0 = -0*h - 4*h - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + l**2 - l**2 + (2*l**2 - 2*l + 2*l)*(-2*l**2 + 4*l**2 - l**2) + 4*l**4 - l**4 - 2*l**4 - 4*l**4 - l**4 + 4*l**4 - 2*l**4 - 5533 + 5*l**4 + 5493.\nAnswer: 4*l**4 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 greater than or equal to -26459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1115649)\/(-66) - 1\/(-1). Let h = -15278 - 1630. Let r = h + d. Calculate the common denominator of -17\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = 0. Let v = 10 + x. What is the units digit of v\/(-4)*344\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-402)\/469 + (6\/28)\/(9\/48). Which is the closest to t? (a) 84 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t + 19. Let x = t + 27. Let m = 2 - -3. Solve -2*y = r - 4*r + 11, r - x = m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3622, 0, 5, 2, 17, -6 in descending order.\nAnswer: 17, 5, 2, 0, -6, -3622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -4, -3, 61, 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 34 - 2\/(78\/21 + -4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2071)\/(-763) + (4\/7)\/2. Let x = -4 + 9. Let i(t) = t**b - 2*t - x*t + 9 + 2*t - 1 + 5*t**2. Calculate i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 135*v + 144*v + 67 = 0, -37 = -5*g + 4*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 192*f - 4*f**3 + 389*f - 190*f)*(0 - 2 - 1).\nAnswer: -6*f**4 + 12*f**3 - 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 + 18*y - 224 = 0 for y.\nAnswer: -16, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*t + 57*t**3 + 42 - 17 - 15 - 12 wrt t?\nAnswer: 342*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6 and 20\/12813.\nAnswer: 25626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 3*i - 4. Let j be c(3). Find the common denominator of (-78)\/(-14) + -1 + 1 and ((-27)\/(-12))\/((-11)\/j).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2*i - 2. Let t(x) = 195 - 400 - x**2 + 0*x**2 + 3*x + 208. Suppose 3*s + 39 = y + 4*y, -27 = -2*y + 5*s. Determine y*u(k) + 4*t(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(101\/(-5454)*-72).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 3. Let x = b - 2. Suppose -x*h + 3*h = -5*d + 167, 4*d = h + 128. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - y = -11, 2*q + y = -2*y. Let w be (-6)\/20 + ((-72)\/6)\/120. Sort -0.3, w, 3, q in ascending order.\nAnswer: q, w, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**2 - 8*d**2 - 3*d**2 - 6*d**2. Let b(i) = -1. Let g(c) = -c + 5. Let n(m) = -5*b(m) - g(m). Give n(t(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10)\/((-4)\/(-10)). Let d = 1 - f. Let o be -1 + (-6 - d) + 2. Put -2\/5, o, -2\/11 in decreasing order.\nAnswer: -2\/11, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 4*i + 2. Let j be c(-3). Let w = j - -7. What is the remainder when w is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-553)\/(-158). What is the biggest value in m, 34, 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 100044.3 from -0.12.\nAnswer: -100044.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 227 + 64 + 81 + 29*m**3 - 105*m to the form x*m**2 + q + c*m + v*m**3 and give c.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 30*z - 25*z. Let x be (6\/(-8))\/((-1)\/36*z). Solve -x*o + 0*o + 45 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = -0*f. Suppose -k + 2*j = 3*j - 5, -2*k - f = -4*j. What is the third derivative of -3*d**6 - d**2 + k*d**6 + 2*d**6 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - 164\/(-12). Let w be ((-1)\/1 - z\/(-28))*-6. Solve -2*g + 25 = w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1065 + 426. Let v = -67.07 - -643.67. Let j = v + k. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 14. What is l(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -5\/4 (c) -0.2 (d) 0 (e) -4 (f) -1\/2506\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.72 + -6.28. Do 0.12 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67704 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c. Let o(y) = 7*y. What is -252*f(t) - 4*o(t)?\nAnswer: -1792*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c - 88631 = -82746 for c.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268*t**3*z**2 + t**2*z**2 + 10*z**2 wrt t?\nAnswer: -1608*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21*j + 56. What is the tens digit of v(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -9 - 4 - -12960410. Suppose h - 1035121 = 19*r. Suppose -r = 3*a - z - 2727645, a - z - 699998 = 0. Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 195645802?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:22 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/534 and 1\/3026.\nAnswer: 9078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 + 94. Let k = a - 153. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2 + 342*i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y - 2. Let x = -2 - -1.96. Let s = x - -0.44. What is the closest to y in s, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553880051 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 9*i**2 + 18*i + 20. Let n(b) = -b + 1. Let z(c) = 6*n(c) + u(c). Let v be z(-10). Sort v, -5, 5, 1 in descending order.\nAnswer: v, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 175.0237 and 665247?\nAnswer: 665071.9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/12 + 5*g**3\/6 + 5*g**2 + 61*g. Let u be z(5). Calculate the greatest common factor of u and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*m + 1073*m - 438*m + 399*m.\nAnswer: 1959*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -0.03. Let t = -0.43 - x. What is the third biggest value in 5, -3\/4, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2396, 2398, 2400, 2402, 2404, 2406?\n\"Answer: 2*g + 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23402 and 1311?\nAnswer: 30680022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*m + 22 = q, 3*m - 14 = q. Let w(l) = 2*l + 0*l**2 - 31 + 8 + 24 + 2*l**2. Give w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -28*d**3 - 1912*d**2 + 7520*d + 2304 = 0.\nAnswer: -72, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**2 - 3*u - 175. Let b(n) = -13*n**2 + 27*n**2 - 18*n**2 + 59 - 1 + n. Let o(f) = 11*b(f) + 4*q(f). What is the derivative of o(p) wrt p?\nAnswer: 16*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 3*z + 5*z)*(168*z - 1042 + 1042) as g*z**2 + h*z + l and give g.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/8)\/(686\/(-392)). Let i(m) = -2 + 0 + 1 - 57*m. List the prime factors of i(w).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)\/((g**(4\/11)\/g*g)\/g))**(-6) assuming g is positive.\nAnswer: g**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)**(-2\/33)\/((g\/(g*g**0))\/g**5))\/((g*g**(-2))\/(g\/g**(-5)))**(1\/44) assuming g is positive.\nAnswer: g**(665\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671725?\nAnswer: 5, 97, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*z = -1272, -2*c - c + 4*z + 954 = 0. Let q = c - 170. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -924099*u + 52673650. What is g(57)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22190?\nAnswer: 2, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*h + 396 = 28*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let i(y) = 4826*y - 445. Let t(s) = 965*s - 81. Let a(u) = -2*i(u) + 11*t(u). Determine a(n(k)).\nAnswer: 963*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*n**3 - 74*n**3 + 369*n**3 + 313*n**3.\nAnswer: 492*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/9)))**(-10) assuming p is positive.\nAnswer: p**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 10 - (479 - 476) - 43?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 153*k - 411. Let i be v(-74). Which is the biggest value? (a) -0.3 (b) 2\/7 (c) i (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/26 - (-74)\/26. Calculate the greatest common divisor of 2 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -2\/7 (c) 0.02061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*s + 10636 = -6529 + 5563 - 9584 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*b**4 + 643*b**3 - b**2 + 1266*b + 16?\nAnswer: 312*b**2 + 3858*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-25))\/((-1208)\/1419400)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1881 (base 16) to base 7\nAnswer: 24201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4311 divided by 63?\nAnswer: -479\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hemxacm. What is prob of sequence ec?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*w**2 - 58*w**3 + 27*w**2 + (6*w - w - 3*w)*(0 - 3 + 4)*(587*w - 9*w**2 - 587*w) as m*w**3 + z*w + g*w**2 + d and give m.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*q - 37183*q**2 - 317*q - 1810*q + 37187*q**2 - 935*q - 2.\nAnswer: 4*q**2 - 2564*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -45, -69, -93, -117?\n\"Answer: -24*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25710862, 51421723, 77132582, 102843439, 128554294?\n\"Answer: -w**2 + 25710864*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 n when four letters picked without replacement from qzpzppnnzppznnpznpz.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 71.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 8. Let g be q(8). Suppose g = 2*z + z + 108. Let r = -22 - z. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -359, -718, -1079, -1442, -1807, -2174, -2543?\n\"Answer: -d**2 - 356*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43693578.\nAnswer: 2, 3, 19, 251, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 11) to base 4\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 51*g - 4024. Solve -3*b - 77 = -g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {y: 3, w: 4, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248088 by -2.\nAnswer: -124044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -5*z - 5*g + 27, 2*z + 2*g + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 4 - 3*o - 4. Let c(y) = 2 - 2*y - 2. Determine v(c(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991426.1 litres to millilitres.\nAnswer: 991426100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urrr when four letters picked without replacement from {u: 9, r: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * -2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/5)*r)\/(r\/(r*(r\/r**(-15))\/r)) assuming r is positive.\nAnswer: r**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/12*1\/5*-66?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 8:02 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1257*a - 11*a + 262*a + 20*a.\nAnswer: 1528*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -627603045 to the nearest 10000.\nAnswer: -627600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40970414 and 51808?\nAnswer: 3238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74308\/5 or -14861?\nAnswer: -14861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/(-279))*32\/(-4032)*-42.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6 = 3*s, 3185*n = -3*s + 3183*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48851779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*h**3 - 250*h**3 - 77*h**3 - 254*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 23004?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635842789.\nAnswer: 3, 97, 335477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 109\/807, 4 in ascending order.\nAnswer: -1, 109\/807, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26\/347 + -13512\/171071. Let k = -102679500 - -151862971139\/1479. Let f = k + z. Find the common denominator of -41\/3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868347459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285469 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5)\/18 - 9\/(-162)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1253*g**4 + 1021*g**3 - 926*g**2 - 23774*g.\nAnswer: -30072*g + 6126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 3861.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -8575*g - 1446\/7*g**3 - 88\/7*g**4 + 0 + 3080*g**2 - 1\/7*g**5 = 0.\nAnswer: -49, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2052134 is divided by 3843?\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*b + 157, v - 3917 = 4*b - 4047 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 13.5 (c) -6 (d) -17 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3032 = -5*l, -1125 = -5*g - 4*l + 3937. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 3*n - 19*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:24 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/6 + (-104)\/(-48). Suppose -2*y = n*y. What is y rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176048653.\nAnswer: 11, 157, 101939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-19)\/l)\/(l*l**(-25\/2))*(l*l**29\/l*l)\/(l\/l**(-1\/10)))**(-5\/9) assuming l is positive.\nAnswer: l**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (4 - (3 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q + 535 - 4*q**2 + q**2 - 997 = 0. Calculate q.\nAnswer: -14, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-54))\/(2\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 9.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -12*x + 7*x. Let h be (-4)\/(-22) - (-194)\/x. What is the units digit of ((-36)\/(-7))\/(h\/63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -3*c - 9*u + 426, -1 = -u. Differentiate 6 + c + 34*v**2 - 58 with respect to v.\nAnswer: 68*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2270 < -2273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 - -1 - -10) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*m - 141 = 2*m, 4*m = -12. Suppose 6*y = 2*y + g. Suppose 4*f + 3*h + y = 0, -4*f - 3 = -3*f + h. Is f greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -5, -115?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4605932 to the nearest ten thousand.\nAnswer: -4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 14*l**3\/3 + 7*l**2\/2 - 13*l + 17. What is the units digit of x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18180*o + 436320. Let s be t(24). Let m be 1 + (0\/(-1) - -1). Solve s*i - m*i = -3*a - 1, i + 2 = -a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v - 3*f + 167, 2*f + 104 = 3*v. Let m be 105\/50*32\/(-56)*70\/(-210). Which is greater: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 115*l + 4*l**2 - 195*l - l**2 + 107*l.\nAnswer: 2*l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 354 - 354. Solve -r = -x*r, -u = 4*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -21. Let i = -2 - u. Let k = i - 15. Solve -3*o = -k*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**3 + z - 49 - 5*z**3 + 23 + 26 + 3*z**2 to the form m*z + y*z**3 + r*z**2 + g and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -170094*i - 2551390. Give s(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b - 4. Let i(c) = -1. Give -6*i(g) + x(g).\nAnswer: -10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -1\/24*c**4 + 1\/30*c**5 - 1\/2*c**3 + 0 + 0*c - 30*c**2 - 1\/40*c**6. Does 6 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359243.\nAnswer: 359243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 8*x - 6.\nAnswer: -2*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuw when three letters picked without replacement from {z: 13, u: 3, w: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/30 - f**3\/6 - f**2. Let y be b(1). What is the greatest common factor of y and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5178960054?\nAnswer: 2, 3, 227, 991, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Let v(s) = s**2 - s - 1. Let j be v(p). Is -746*((-3)\/6)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 8. Let b be x(-12). Suppose -b*r + 5*r = -8. Let o(t) = -2*t + 10. What is the tens digit of o(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14943362 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -353, -707, -1053, -1385, -1697, -1983, -2237?\n\"Answer: d**3 - 2*d**2 - 355*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 42 = 103. Let s be -3 + 1 - (-3 - 48)*1. What is the remainder when g is divided by (-28)\/(-6)*(21\/s - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1270 and 254?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 7 = 3*p, -5*v - 30 = 5*p + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-321 + 320)*4*(-535)\/(-20) - (-9 - -1).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13724? (a) 6 (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 1. Determine t(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:28 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n**2. Let d(l) = 4*l. Calculate t(d(u)).\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:55 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -23 (b) 19 (c) 1\/2 (d) 0 (e) 5\/2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -140602, -281222, -421842?\n\"Answer: -140620*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354322960 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/91*((-16)\/(-10))\/(9\/90)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = -w + 6*h, 0 = -4*w - 2*h - 20. Let l = -448 + 453. Suppose -2*j = 2*j - 8. Sort l, j, w in descending order.\nAnswer: l, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -4) + 270 + -3. Let o = 3873\/10 - k. Let a = -2429\/20 + o. Calculate the common denominator of a and -89\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 12*m**3 + 0*m**3 + (-2*m - m + 6*m)*(-2*m**2 + m**2 + 2*m**2) to the form s + o*m**2 + p*m**3 + w*m and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/3 + 17*x**2 - 2*x - 40\/3.\nAnswer: -(x - 10)*(x - 1)*(5*x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95293144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103370*z**4\/17 + 2*z**3\/17 - 1343810*z**2\/17 + 1240414*z\/17 + 24\/17 = 0. Calculate z.\nAnswer: -4, -1\/51685, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (5 - (-9 + 4 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -418*i + 857. Give k(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:20 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-1 + 4 - 3) + 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 4) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -31 (b) 25\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062, -3560, -5058, -6556, -8054?\nAnswer: -9552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.53 - 47.5. Let k = r + -0.03. Put 0.4, 2, k in decreasing order.\nAnswer: 2, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0068 * -1.83.\nAnswer: -0.012444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -1720, 0.037, -0.5, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(35) - (sqrt(315) - (sqrt(315) + sqrt(315)*-1)))\/(sqrt(700) - (sqrt(700) - sqrt(700)*1)) - -1*(-3 + sqrt(5)*-1 + 4))**2.\nAnswer: -12*sqrt(5)\/5 + 26\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 (base 16) in base 2?\nAnswer: -110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + (-12)\/24. Suppose -500 - 1240 = -4*l - 2*r, l + 5*r - 417 = o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -16*q**2 + 20*q - 10. Let f(a) = -a**2 - a - 2. Let l(j) = -10*f(j) + 2*v(j). What is the second derivative of l(w) wrt w?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110000111 + 11010011100010?\nAnswer: -10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 21*d**3 - 3 + 1.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -39*r - 232. Let o be m(-6). Suppose -4*q + o*p + 122 - 64 = 0, -2*p = -3*q + 45. Solve -q*b - 3 = 49 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 18. Let x be 2\/j - 162\/(-144). Let f be x\/(-3) + 762\/18. What is the greatest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 10620495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n. Determine t(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/43 - -511\/430. Let d(l) be the second derivative of -4*l - 3\/14*l**7 - k*l**6 + 0 + 0*l**3 - 4\/5*l**5 + 0*l**2 - 1\/3*l**4. What is x in d(x) = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.112 and -82551.\nAnswer: 9245.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**14*t))\/t)*t)\/((t**29\/t)\/t))\/(t**16*t**(3\/2)\/t*t) assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72072)\/1188*(-9)\/18*3?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**3 - 40*u**2 - 3*u + 38. Let g(l) = -4*l**3 - 21*l**2 - 2*l + 19. Let t(q) = 5*g(q) - 3*i(q). Calculate t(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618120, 618125, 618132, 618141, 618152?\nAnswer: 618165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1710547372 to the nearest integer?\nAnswer: 41359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*k + 4, -2*x = -5*k + 12 + 2. Let p be 4\/10*(-10)\/(-2). Suppose 5*q + g = -0*q + 40, -p = 2*q + k*g. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216.4 + -219. Let h = v - -2.9. Put 4, h, -59 in ascending order.\nAnswer: -59, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/96556 and -61\/1434.\nAnswer: 289668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 426 - 2972\/7. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 32. Let a be v(7). Let f(z) = -5*z + 3. Let g(m) = -2*m + 1. Let q(l) = -6*f(l) + 17*g(l). Calculate q(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*g + 3397 + 2189 = 295*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.701 take away -79841132?\nAnswer: 79840826.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(140)\/sqrt(5))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 2*q - 4*q + 4*q - 10. Let p be l(10). Solve g - 6*g - 2*w + 18 = p, -5*g + 2*w = -22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -143.7 and 0.1867.\nAnswer: -26.82879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxwx when four letters picked without replacement from {w: 11, m: 1, x: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.058 + 19222.\nAnswer: 19221.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:06 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*c**4 - 254*a*c - 869*c**4 - 31*c + 1 wrt c?\nAnswer: 48*a*c**2 - 10428*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1026.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139860?\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**3 + 16*t**2 - 350*t - 4.\nAnswer: 24*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3 = -2*p, 5*p + 15 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 476 = 10*a. Solve a = 13*z - 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/5 - i**4 + 6*i**3\/5 + 4*i**2\/5 - 8*i\/5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 - 5*i - 2. Let n be k(3). Let y be 126\/(-18)*n\/(-1). Solve 2*x - y*x = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22136 and 103\/10.\nAnswer: 110680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10760 rounded to the nearest one hundred?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, 531, 15 in ascending order.\nAnswer: 15, 385, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z - 96. Let f be j(12). Let b(t) be the third derivative of f - 1\/525*t**7 + 0*t**3 - 2\/25*t**5 + t**2 + 0*t - 2\/15*t**4 - 1\/50*t**6. Factor b(g).\nAnswer: -2*g*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 divided by 53?\nAnswer: 227\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 935429491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/16100 and 85\/196.\nAnswer: 112700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2411 or -2648?\nAnswer: -2648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3984 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -192680 or -192699?\nAnswer: -192680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*0.1.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h - 4*h + 4*h + 1)*(h - 4*h + 5*h) + (-3 - h + 3)*(75 - 2*h - 165 + 81) as v + o*h + j*h**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q + 17. Let o(t) = 4*t + 2. Let c(l) = -l. Let v(n) = -3*c(n) - 2*o(n). Let y(d) = 2*i(d) + 9*v(d). Determine y(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f**(1\/2))**(-47))**(-1\/49) assuming f is positive.\nAnswer: f**(-423\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -11*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5768 - 5696. What is the smallest common multiple of 198 and i?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 1.1. Let o = -0.6 + y. Let b = 0.8 - 0.5. What is the second biggest value in 2\/9, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 35. Which is the third smallest value? (a) 1\/7 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-7)*91\/26. Let m(d) = 5*d + x*d - d + 6 - 9*d. Suppose -6*b = -2*b. What is m(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 14*f - 624 = 0. Let g = 249 + f. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110298465 divided by -279\nAnswer: 395335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.035 - -37.965. Is b >= 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, 1425, 0, -68 in increasing order.\nAnswer: -68, -5, 0, 1, 2, 1425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-21))\/((-4)\/14). Solve 0 = 2*o - 5*m - 13, -4*o = -i*m - 12 - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 3. Let a be 7 + -8 + (1 - -1). Suppose -w*h + 16 = 2*r, 2 + a = 4*h - r. Solve 5*l + 15 = -5*m, m + h = l - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*f - 1487 = 179*f - 7709 - 1054 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 6*(sqrt(19) + -3))**2 + (sqrt(1900) + sqrt(1900) + 0 + -4)**2)*-3.\nAnswer: -25983 + 1164*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/9 + 44*u**3\/9 + 188*u**2\/3 + 1760*u\/9 + 1600\/9.\nAnswer: (u + 2)**2*(u + 20)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose 0 = -j + 5 + i. Suppose -j*y = -4*y - 28. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from fgucqi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -73. Calculate the common denominator of 56\/9 and 4\/(-60)*93 - (-1 - q).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8119, 8164, 8283, 8512, 8887, 9444, 10219?\n\"Answer: 6*q**3 + q**2 + 8112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 8793. Let z(a) = 19*a**2. What is u(z(r))?\nAnswer: 57*r**2 - 8793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.001 - -3.999. Suppose 5*o + 3 = -7. Let c be (-64)\/(-36) - (0 - o). What is the smallest value in c, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8935 - 3054 - 4501)*(2*a + 3*a - 4*a).\nAnswer: 1380*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 1 + 18 = 4*y, 2*g + 9 = 3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:54 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/17 + 72*v**3\/17 - 378*v**2\/17 + 540*v\/17 = 0 for v.\nAnswer: 0, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 1:47 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1, 8, -2 in decreasing order.\nAnswer: 8, 6, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 12:27 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 4. Let x(w) = -4*w - 19. Let p(i) = -2*i - 9. Let k(m) = 5*p(m) - 2*x(m). Give 4*k(b) - 7*o(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 38, 49, 60, 71, 82?\n\"Answer: 11*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110001100101 + -10?\nAnswer: 101110001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m, 5*m + 46 = b - 18. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 87, 1.83, 0.3 in ascending order.\nAnswer: 0.3, 1.83, 29, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*t = 358*t - 58. Solve b + i - 13 = -t*i, 0 = -3*i + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -36, -5, 38, 93?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by 6?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_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: What is the highest common factor of 4624 and 15992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18129, 31229, 44329, 57429?\nAnswer: 70529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 5264*z - 72 - 2*z**2 + 5263*z - 128 to j + u*z + m*z**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*z - 58*z - 15. Suppose -46*y + 39*y - 98 = 0. Let v be y\/91 - (-5)\/((-65)\/(-93)). Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 39 + 6. Let f = -9 - u. Let q = f + 8. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59209150 divided by -29575\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7048 is divided by 2294?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 1, g: 1, k: 5}. What is prob of picking 2 k, 1 z, and 1 l?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in -0.9, 0, 5, 6, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 23*c**6\/5 + 7*c**5\/20 - 734*c**2 + 1842*c. What is the first derivative of r(l) wrt l?\nAnswer: 552*l**3 + 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 12519 = 7872 - 52137. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l. Let g(w) = -w**3 - 4*w**2 - 3*w - 5. Let c be g(-3). Calculate u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(343))*-6*1.\nAnswer: -42*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1056, 1058, 1060, 1062, 1064?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34b9a2 (base 13) to base 15\nAnswer: -19b813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 319 = 3*m. Does 33 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 10:15 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -30627.\nAnswer: 1\/10209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758859 is divided by 9306.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/13 - 2737212*u\/13 - 936541191618\/13 = 0.\nAnswer: -684303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhlnhth. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 13) to base 16.\nAnswer: 1fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4806 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 17 + 7 = -4*y - 66, 82 = -5*y - 3*y + 3*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/60 - 2*y**4\/3 - 19*y**3\/3 - 5*y**2. Let s be g(-13). Is s < -1\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 228 - (2 - (0 - -1)). Let x = 388 - y. Let n = -376 + x. What is n rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17245848 to the power of 1\/2, to the nearest integer?\nAnswer: 4153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1855 and 97934725.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5820.61 centuries?\nAnswer: 582061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 35. Calculate the least common multiple of w and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 21. Let z be o(-15). Let x = z + 822. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1806*w - 383. Is s(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6048483000 rounded to the nearest 1000000?\nAnswer: -6048000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/7 (b) -2 (c) -12.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*i**2 + 2 + 7*i**4 - 5*i**4 + 6*i**3 as c*i**4 + a*i + g*i**2 + m + w*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.45842 and -5.4.\nAnswer: -4.94158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 0, 5*i - 2*l + 0*l = 0. Suppose i = -2*t + 29*t. What is m in t + 4\/7*m**2 - 8\/7*m = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 104. Calculate the remainder when 608 is divided by w(-17).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23755, 23777, 23799, 23821?\n\"Answer: 22*x + 23733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 21\/(-7))\/((-6)\/(-26)). Suppose -300 + 66 = -2*q. Calculate the greatest common factor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x - 1. Let q be g(-1). Suppose 2*f = n + 4, -q*n - 10 = -5*f - 5*n. Solve 6*d = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 10 = -2*m, -6*m = 2*n - 10*m - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**9\/5040 - x**6\/240 - x**4\/12 - 3*x. Let j(r) be the third derivative of n(r). Find the second derivative of j(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 4:07 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7241858 is divided by 84207?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3415 + 2?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 63. Let b = d + -7. Let f = b - -44.01. What is f rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -456*b + 2261. What is the thousands digit of k(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 1722?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (7 + (-5 - (19 + -8)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 167622528?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1183, 20, -1, 5 in descending order.\nAnswer: 1183, 20, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 187*i - 459. Let v(z) = z**3 + z**2. Let n(s) = -4*s**2 + 4*s**2 + 2*s**2 - 5*s**2. What is i*v(g) + n(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 27\/(-5)*(-17 + -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -50, -60, -74?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652 by -58730.\nAnswer: 326\/29365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 - 40*x**2 - 82*x + 123. Let v(y) = 7*y**3 + 81*y**2 + 163*y - 246. Let m(h) = 5*d(h) + 3*v(h). What is p in m(p) = 0?\nAnswer: -41, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - 387*l**2 + 5326*l - 12686. Let o(y) = -4*y**3 + 580*y**2 - 7988*y + 19028. Let i(n) = -5*o(n) - 8*v(n). Determine p, given that i(p) = 0.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 782446519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.608 - 18.608. Sort -2, 2, l, 2\/25.\nAnswer: -2, 2\/25, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 551?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*g - 3*g, 3*g = -5*u - 16. Which is the biggest value? (a) 2\/5 (b) 0.1 (c) 1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23182558, -23182559, -23182560, -23182561?\n\"Answer: -k - 23182557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 42*v**2 + 6*v - 17. Let l(s) = 2*s**3 - 2*s - 7. Let k be l(-2). Is n(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 426 - -65023?\nAnswer: 65449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 124 - -37544?\nAnswer: 37668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6021, 98, -30 in descending order.\nAnswer: 6021, 98, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*w**2 + 17*w**2 + 41*w**2 + 2*w + 13 - 10*w**2 + 32*w**2 as d*w**2 + i*w + c and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) 0.03 (c) 530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f - 5*c + 13, -4*f + 3*c + 13 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 + h + 5. Calculate the remainder when p(4) is divided by (-9)\/108*-9*(-408)\/(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 44) + (-8 - (-13 + 3))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 18, i: 2}. What is prob of picking 3 l?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b*b*b*b\/b**18*b*b)\/b)\/b)*b)\/b*b*b*b*b*b*b\/b**(-19)*b**(-7\/6)*b**14)**(1\/68) assuming b is positive.\nAnswer: b**(311\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*j - 1397 = 0, v = 4*v + 3*j - 4239. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335038, -335037, -335036, -335035?\nAnswer: -335034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(110) + (-1*sqrt(110) - sqrt(110))))\/((sqrt(80)*-1)\/sqrt(8)).\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2747 - -2747. Is -8\/205 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4640904?\nAnswer: 2, 3, 43, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 12328694491?\nAnswer: 12328694491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 8 + -41 - 25.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/(k\/(k\/k**(-1\/3)))*k*(k*k**1*k)\/k*k\/(k*k**3) assuming k is positive.\nAnswer: k**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 6200?\nAnswer: -6210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 38 = d + 4*f, 6 = d - 5*f. Suppose -19 = -c + 4*w, -5*c + 18 + d = -3*w. Suppose 3*k + c = 4*k. Let m(l) = -2*l - 1. Calculate m(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.76 - -0.24. Which is the second biggest value? (a) h (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 48*d**2 - 50*d - 110. List the prime factors of f(-49).\nAnswer: 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 17*g**2 - 2*g - 31. Let w be s(-17). Suppose -3*q - 12 = m, 14 + 10 = w*m - 3*q. Solve 3*k + 0*k - 3*o = -6, m*k = -o + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16504*v**4 + 23794?\nAnswer: -66016*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 596237.4 milliseconds?\nAnswer: 0.1656215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 160577, 321153, 481729?\n\"Answer: 160576*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -27. Suppose -5*q - 3*y = 27, -6*y + 2 = -u*y. Let l = q - -13. What is the remainder when 11 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -586*c**2 + 19*c + 212. Let k(z) = -32*z**2 - 2*z + 1. Let t(q) = -j(q) - 6*k(q). What is the second derivative of t(x) wrt x?\nAnswer: 1556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 735661737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23320257437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14.7 - -18747.4\nAnswer: 18762.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173205171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4108.693 rounded to the nearest integer?\nAnswer: -4109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1303817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 33*x + 696. What is the hundreds digit of (1716\/(-234))\/((-1 + 2)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254921 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - 135080.01?\nAnswer: -135115.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = 5*u, -c = -0*u - u - 7. Suppose c*i = -10 + 40. Suppose -2*k + 32 = 3*s - 31, 3*s - i*k - 42 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 15 + 45 = 0. Determine r, given that -7 + w*r**2 - 40*r - 2*r**2 + 13*r = 0.\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 - -0.06.\nAnswer: -246.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 19152?\nAnswer: 1\/9576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681*v + 715*v = 11628. What is the highest common factor of 6270 and v?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usls when four letters picked without replacement from sslsssslsllsu?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/15)\/((-2)\/5). Let b(d) = d. Let i be 1 + (-2 - -1) + 2. Let s be b(i). Solve -2*y = -z*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 1080 = -65*y. Put 1, 0, -2, 3, y in increasing order.\nAnswer: y, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3707 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/8*4)\/((-2384)\/128 + 19).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 19, -108, 1, -5 in descending order.\nAnswer: 19, 1, -5, -108, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138 + y**2 - 1148 + 2286.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v - 6. Let u be g(7). Suppose 3*m + r - 2 = 0, 2*m - 2*r = u + 3. What is the units digit of m\/((-36)\/(-33) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -35?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - i = 30, 2*i - 52 = 2*l + 2*l. Suppose 52 = -3*p + 61. Suppose 3*m + 24 = -2*u - 0*m, p*u - 2*m + 49 = 0. Which is bigger: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 662 + 3*b + 181 + 211 as m*b + d and give d.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1210 + 1394. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235275 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/15)\/(((-105)\/(-9))\/5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11000 + -11?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -u + 3, 5*f - 4*u + 14 - 2 = 0. Let c be (f + -2 - 1) + 3. Let o = c + 6. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*v**2 + 4347*v**2 + 6404*v**2.\nAnswer: 9691*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -179.\nAnswer: 35.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 1:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((14 - 70\/10) + (-11)\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**2 - z**2 + 1 - 33*z**2 + 17*z**2 - z. Let r be (1 - 2)\/(2\/(-2)). Calculate b(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002516028699 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2267)\/131486 - 483\/(-7830).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110726938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxxwxwxxxwxwxxxw?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -6 (c) 1027649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109387 or -109384?\nAnswer: -109384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*m - 3322*m - 6960*m - 2160768 = 7031*m for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 0 - (-1432 + (-3)\/(-1))?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002000200 - -1102211?\nAnswer: 2010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 1, z: 4}. Give prob of sequence sz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -13 - (-1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2*(-318)\/(-18). Suppose l - g = -14. Suppose -3*r + 144 - l = 0. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -1.516641384.\nAnswer: 5.483358616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10254067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 5) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let z = 493 + -514.7. Let y = 22 + z. Which is the fourth biggest value? (a) 2\/7 (b) f (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 minus -8.582116767294?\nAnswer: 39.582116767294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -78c?\nAnswer: -78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*q**4 - 250563\/4 + 14739*q - 2601\/2*q**2 + 51*q**3 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001001001 (base 2) in base 9?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17175 divided by -229?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-124 - -127)*2\/(-8). Sort 3\/7, j, 5, -3\/5.\nAnswer: j, -3\/5, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/2)\/7*0. Suppose u = 5*r - 2*w - 173, -48*w = -2*r - 51*w + 54. Sort -3, 1, r.\nAnswer: -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 6*b**2 - 6*b - 3. Suppose 0 = 3*s - 2*k - 1, -4*s + 6*k = 3*k. Suppose -2*g = -s*p - 15, 0 = -4*p - 0*p + 3*g - 20. What is n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 minus -12.8?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 1408.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -27\/21539?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 4, y: 5, v: 1, g: 1, q: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4597*j + 4597*j + j**2. Let c(l) = -1486*l**2. Give c(h(o)).\nAnswer: -1486*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0160337 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -2\/3*i**6 + 0 + 0*i**2 + 2\/3*i**4 + 8\/21*i**7 + 14*i + 0*i**3 - 7\/5*i**5. Suppose o(f) = 0. Calculate f.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = w + 537646, 0 = 6031*w - 6028*w + 2*r + 1612958. What is w rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*o**3 - 75*o**3 + 175*o**4)*(-o - 3*o + 3*o)*(-1 + 2 + 0).\nAnswer: -175*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(33))\/(sqrt(12)*-4))**2 + 0.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20528746.\nAnswer: 2, 7, 209477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60066.\nAnswer: 2, 3, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 13*m + 3 - 1. What is the fourth smallest value in -4, m, -1\/10, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 29. Let s be q(16). Suppose -235 - 89 = 3*b. What is the lowest common multiple of 2 and ((-5 - s)\/(-4))\/((-3)\/b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -35. What is the units digit of (-16)\/t - 52\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from gggsggggggsgsgsggs?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.31 - -0.31. Sort x, 2\/77, 1\/4 in descending order.\nAnswer: 1\/4, 2\/77, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -79, -75, -71, -67?\n\"Answer: 4*c - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 > -181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -46afea (base 16) in base 5?\nAnswer: -2141220204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -217587 and -0.009.\nAnswer: -217587.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 19 + (12 - 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*b = 2*b - 285, -2*b = 2*z - 128. Calculate the remainder when 174 is divided by z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71595, -143185, -214771, -286353?\nAnswer: -357931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/40 + 0 - -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -226472 or -226552?\nAnswer: -226472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0769 from -134159756444.\nAnswer: -134159756444.0769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1791 by 1447.\nAnswer: 1791\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00785024 rounded to 4 decimal places?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -0.1, -0.5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -2. Let h = -0.6 + 0.1. Sort h, -2\/7, o in decreasing order.\nAnswer: o, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/203 and -17\/378?\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -57647\/3 and -19215 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 177217 (base 14) to base 3\nAnswer: 1112222112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2 + 1700758*a - 13606192 = 0?\nAnswer: -850387, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -2.306, -0.05, -0.1, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 729446, 1458996, 2188548, 2918102, 3647658, 4377216?\n\"Answer: t**2 + 729547*t - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4*20\/(-6). Factor -2 - 8*p - s*p**2 + 25\/2*p**3.\nAnswer: (p - 1)*(5*p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 189*l**3 + 3*l**2 + 6*l - 196. Let p(b) = 379*b**3 + 5*b**2 + 10*b - 391. Let n(v) = -5*g(v) + 3*p(v). Differentiate n(u) wrt u.\nAnswer: 576*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*k*n**3 - 4*c*k + 477*c*n**3 + 50*k*n**3 wrt k.\nAnswer: -c*n**3 - 4*c + 50*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8806 - -18967. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 18. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c. Let n(q) be the second derivative of -q**4\/6 - 16*q. Calculate n(h(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -4*f**3 - 295. Let m(r) = r. Determine d(m(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2678 + -2600. Suppose 2*v = v + 9. What is the remainder when g is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-435)*((-33)\/(-11))\/((-15)\/(-125))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + 15*r - 5*r)*(-2*r**2 + 4*r**2 + 0*r**2).\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(200)*2*-2*4)\/(sqrt(40)\/(sqrt(144) + sqrt(16))).\nAnswer: -256*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 352 = -3*u, -2*u = -5*h - 0*h + 858. Is h less than 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, 79, 493, 963, 1495, 2095, 2769, 3523?\nAnswer: 4363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727250 divided by 525?\nAnswer: -3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1755, 3498, 5229, 6942, 8631, 10290, 11913?\nAnswer: 13494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) -0.25 (d) 84 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287 - 286.442. Let s = t - 0.158. Put -0.3, s, 24, 4 in increasing order.\nAnswer: -0.3, s, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let a be 25\/(-5) - (-13 - (3 + -6)). Put -43, a, c, -2 in increasing order.\nAnswer: -43, -2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2\/5, 3\/5, 3876, 23\/3, 5?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2241 + 1127. Let u be -426 - (1 - (2 - 0)). Let z = g + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11\/h)\/h**(-16))\/(h*h*h**(-9\/4))**(2\/95) assuming h is positive.\nAnswer: h**(4941\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5276 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 762228.\nAnswer: 8384508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6*1*3\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*a - 86, 7*x - 16728*a = -16733*a + 323 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 - -944. Suppose -2*j - 2*p + c = 0, 2*j = 4*p + 359 + 451. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5007 - -5063. What is the greatest common divisor of t and 3032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 + -1 - 22\/23). Let c = 28 - k. Let j(x) = x**2 - 4*x - 5. Give j(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/4)*j)\/j)\/(j\/(j*j*j\/(j*j\/j**0)))*((j**(-1\/3)\/j)\/j)**4 assuming j is positive.\nAnswer: j**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -29*w**2 + 1244*w + 114. Determine o(43).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 74. Calculate z(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*q = 280*q - 144 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2932)\/180 + 9)*10\/(-12) - 6.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 183*m - 141*m - 43*m + 37*m**3 in the form v*m**3 + o*m + h*m**2 + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 14628\nAnswer: -380328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8*q + 20 = 0. Suppose q*w - 4*w - 5 = 0. Let p(x) = x**2 + x - 6. Does 6 divide p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12695753, -12695682, -12695563, -12695396, -12695181?\nAnswer: -12694918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -317*g + 314*g + 390. Calculate the remainder when g is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1444 + 0.844. Let u = -48 - -46.7. Let v = u - k. What is v rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**31)**(-10))**(-14\/9))**(-49) assuming q is positive.\nAnswer: q**(68600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10*n = 240. Suppose 0 = -4*c + i + 21, -n = -5*c - 5*i + 9*i. Solve 2*y + 6*k + 4 = 4*k, 5*y - c*k = 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2249149 minutes to nanoseconds.\nAnswer: 13494894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00878524 to four decimal places.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 1311. Let b(w) = -29*w + 3868. Calculate 2*b(j) - 7*p(j).\nAnswer: 5*j - 1441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26701 is divided by 13197?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115.75988 + -117.06. Let z = -0.17 + 1.47. Let m = z + q. Round m to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:58 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 79*m - 182. Calculate i(-23).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0 (c) -3\/7 (d) -0.033 (e) 2041\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 - 26 + 13*m**3)*(7*m - 11*m + 5*m)*(3 - 5 - 1) to u*m**4 + y*m**3 + o*m**2 + n*m + h and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 0 + 0 + 2*a - 2*a + 4*a**3 + (-2*a + 3*a - 2*a)*(-2*a**2 - 1 + 1).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170963431 and 1119.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**8\/42 - 3*z**6\/40 + 272*z**5\/15 - 54*z**2. What is the third derivative of v(j) wrt j?\nAnswer: -480*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffr when three letters picked without replacement from rchhhhchhhhhfhhhnhfh.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:04 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -99\/7 - 99\/7*o**4 + 6\/7*o**3 - 3\/7*o**5 + 198\/7*o**2 - 3\/7*o = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2566475, 10265896, 23098263, 41063576, 64161835, 92393040?\n\"Answer: 2566473*p**2 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/12 - (-5)\/30. Let f(k) = k**2 - 3*k - 1. Let z be f(n). Let h = 16 - z. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133.024369 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498, 1166, 2084, 3252, 4670?\nAnswer: 6338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785656.\nAnswer: 2, 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 3*w**4\/8 + w**3\/6 - w**2. Suppose 18*u = -35*u - 106. Give m(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10256 (base 12) to base 2.\nAnswer: 101001001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 - -236. Let w = 303 + i. Sort w, -0.5, -0.1, -1\/5 in ascending order.\nAnswer: -0.5, -1\/5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*b**3 - 1)*((-3 + 1 + 3)*(0 + 0 - 2*b) - 1 + 1 - 2*b - 6 + b + 6 - 1 + 1 - 2*b) as x*b + a + t*b**3 + w*b**2 + f*b**4 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2. Let b(v) = -553386*v. What is b(h(t))?\nAnswer: -1660158*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197103424 to the power of 1\/3, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 + 6*c + 2. Let o(s) = 3*s**3 - 3*s**2 - 17*s - 5. Let z(q) = -3*o(q) - 8*t(q). Suppose 0 = -206*w + 204*w, 2*w + 15 = 5*j. Give z(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 28*k. Let g(q) = -q. What is -2*g(v) + j(v)?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 130 = 3*y, -3*t - 223 = 3*y - 8*y. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*16\/560*(-50)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.858943 centuries in years?\nAnswer: 585.8943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27714522 and 39270.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424092 is divided by 141363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 7, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 10 - 10*k + 4 - 3 + 5*k**2. Let r be f(11). Let -2\/9*q**3 - 4\/9 + 4\/9*q**r + 2\/9*q = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnjjtnnttn. What is prob of sequence jtj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*12\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t + 6*t + 5*t - 182 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57716 - 1263*g - 57716.\nAnswer: -1263*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3170495, -6340954, -9511413, -12681872?\n\"Answer: -3170459*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0*m - 6 - 6 + 2*m + 0*m. Let f be g(8). Solve 0 = 3*c + 5*j + 1, -2*c - f*j = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - 243\/(-45). Suppose 0*a = -u*a + 15. Suppose a*f + 28 = 5*f. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -311, 60, -2, -133.\nAnswer: -311, -133, -5, -2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301 - 265. Suppose -154 = -3*p + 56. Calculate the remainder when p is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-four fifths of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100038553392 minus -5?\nAnswer: -100038553387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 483033 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219 + 78. Let m = 20 + s. What is m rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8500*q**2 - 21*q - 16. Does 12 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + 1 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 + -32 - -47 - (2 - 20) - 8.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566767 is divided by 111910?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 416, 552, 684, 812, 936?\n\"Answer: -2*i**2 + 142*i + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-7)*(-49)\/56. Which is the closest to -0.1? (a) 1 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {a: 5, q: 1, e: 3, g: 1, y: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5514.567 centimeters?\nAnswer: 0.05514567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294143?\nAnswer: 107, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 39 = t. Suppose 0 = -3*n - 3*a + 18, -4*a + 2 = n - t. Let q = 6 - 10. Put q, 5, n in decreasing order.\nAnswer: 5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4770 is divided by 4760?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuttttutut. What is prob of picking 2 u and 1 t?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00673805 rounded to five decimal places?\nAnswer: 0.00674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 26 = 5*n - d, 0 = 5*n + 3*d + 77. Let f = -11 - n. What is the greatest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 + 91*l**2 - 46*l**2 - 9*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c**2*y - 8*c*f**3 - 11*c*y**3 - 3072*f**3 + 3*f - 2*y**3 wrt c.\nAnswer: 14*c*y - 8*f**3 - 11*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 1 + -3 + -1*-1*sqrt(396) + ((3 + (sqrt(396) - (sqrt(396) + 1)))**2 - (-1 + sqrt(396) + 5 + sqrt(396))**2))*5.\nAnswer: -7990 - 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2266650.\nAnswer: 2, 3, 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(2\/(-2))\/(21\/(-3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/3)\/s**(-3)*(s**(-2))**(-1\/26)*(s**(-8)\/s**(6\/5))**17 assuming s is positive.\nAnswer: s**(-30028\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25 - 40)*(-24)\/10. Differentiate p - 2*k - 2041*k**2 + 41 + 2042*k**2 with respect to k.\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 2 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/(sqrt(40)\/sqrt(8)))\/(sqrt(160)\/sqrt(8)) - (sqrt(168)*3)\/(sqrt(18)\/(sqrt(3)*-4)).\nAnswer: 49*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from ejteetimtjmei?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2928, -11221, -24992, -44241, -68968, -99173?\n\"Answer: -2739*t**2 - 76*t - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 8*n**5\/9 + 8216*n**4\/9 + 1499018*n**3\/9 + 71201264*n**2\/9 - 72329638*n\/9 + 18176612\/9 = 0.\nAnswer: -809, -137, -82, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327.0002411 - -327. What is q rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -21. Let g be (-1)\/5*(1 - q). What is the nearest to g in 3, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1805 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27043727\/13600 - 33804\/17. Calculate the common denominator of -37\/48 and k.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112 (base 3) in base 9?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 864*l**2 - 3489*l - 42150. Determine x(-860).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35533451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39618 and 2046.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11*w - 124 = 9*w, 0 = -5*y + w + 148. Calculate the smallest common multiple of y and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/10 + 525\/114.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -701, -712, -723, -734?\n\"Answer: -11*v - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.17715 + -0.17715. What is the fourth biggest value in 12, 1.3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j**3*v**2*y + j**3*y + 49*j**3 + 10*j**2*v**2*y + j*v*y + 7*j*v + v**2 wrt v.\nAnswer: -16*j**3*y + 20*j**2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 573 = -4*a, 0 = -0*c - 4*c - 2*a + 448. Let l = c - 111. Suppose l*u = 13*u + 132. Put u, 0, -4 in decreasing order.\nAnswer: 0, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*4*1*(sqrt(13) + sqrt(13) + sqrt(13)*2)*-3)**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7341*h**2 + 44*h - 120. Is r(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235121 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -121320 (base 5) to base 6\nAnswer: -33121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -189*b**2 + 382*b**2 - 195*b**2 + 7 - b + b**3 - 6. What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3060 + -42813\/14. Find the common denominator of 63\/10 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316086 (base 12) to base 2\nAnswer: -10111101110111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/(j**(-3\/5)*j))**(-1\/2) assuming j is positive.\nAnswer: j**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 5*j**2 - j - 1. Suppose c + 2 + 3 = 0. Let y be l(c). Solve y + 4 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -8896\/609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*t + 3. Let y(q) = -7 - 3*q + t*q + 6 - q**3 + 8*q**3. Suppose 5*c + 4 = -3*d, -3*c + 5*d = -5*c - 13. Calculate y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - k**2 + 2*k**2)*(1 - 2*k + 3*k + 1) + (0*k**3 + 0*k**3 - 2*k**3)*(5 - 4 + 4) to the form h*k**2 + d*k**3 + a*k + v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)\/w*w**(-3\/4)*w*(w**(-2\/9)\/w*w)\/w**4)**(-38) assuming w is positive.\nAnswer: w**(3553\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-45))\/((-588)\/210))\/(4\/(-3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 = -16. Let n = h + 16. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + -87?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.4 - 1.4. Let t = -5 + f. Which is the nearest to -0.1? (a) t (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 73 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9315009 to the power of 1\/2, to the nearest integer?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/5)\/((k\/k**(-1\/3))\/k))**(6\/7))**(1\/56))**47 assuming k is positive.\nAnswer: k**(-517\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 8. Let r be n(-4). Suppose -v = -0*v - 2. Put v, r, -1 in ascending order.\nAnswer: -1, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3318 (b) -1\/3 (c) 0.041 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Suppose 0 = -4*b - 2*z + 16, 3*b = -z + 19 - 6. Let v be (b\/2)\/(3\/48*8). Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.20465 + 0.30465. What is the closest to 1\/2 in -2\/17, x, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15498)\/(-92496) + 4\/(-94)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -173. Let j = -9 + 12. Suppose 23 + 49 = j*o. What is the highest common divisor of o and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3*k + 17 = 0, 3*k + 0 = -12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/3 + 5*u**3\/3 + 11*u**2\/3 + 4*u\/3.\nAnswer: -u*(u - 4)*(u + 1)*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 56005 - 122773 - 3*u**3.\nAnswer: 2*u**3 - 178778","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438845*g**3 + 52*g**2 + 30541058*g.\nAnswer: 2633070*g + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 320.\nAnswer: 81\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 107, -161, -609, -1237?\n\"Answer: -90*j**2 + 2*j + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/8037854 and -83\/128605664.\nAnswer: 128605664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -11\/5, 725\/16 in increasing order.\nAnswer: -11\/5, -2\/3, 725\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(9 - (4 - -4))\/(1 - 6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7045*s**4 - 121*s**3 + 2*s**2 + 5011*s + 28.\nAnswer: -84540*s**2 - 726*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 4*w - 2*w**2)*(2 + 2 + 23).\nAnswer: -54*w**2 - 108*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 690*c - 16 + 21 - 3 to the form m + f*c and give f.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) -1\/4 (c) 3\/4 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -242477109519 and 115?\nAnswer: 242477109634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -454, -1952, -4440, -7912, -12362, -17784, -24172?\n\"Answer: o**3 - 501*o**2 - 2*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13530 and 13530.\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 28*o + 85. Let h be r(31). Put -3, -1, -4, h in descending order.\nAnswer: -1, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 8:01 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-32) - (-2402)\/(-16). Let r = -67 - l. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 509474\/25 - 20379. Find the common denominator of -121\/5070 and p.\nAnswer: 25350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - u**2 - 2*u - 1. Let o(q) = -4261*q**3 + 3*q**2 - 7*q + 6. Let k(a) = -o(a) - 5*x(a). What is the third derivative of k(b) wrt b?\nAnswer: 25506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-121)\/(-11)))\/(-1*(-38)\/(-6))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*l + 1196 = 0, 0 = -3*i - 38*l + 39*l + 712. Calculate the lowest common multiple of 52 and i.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 14 + -20 + (-88 - -66)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01123046448 rounded to 6 decimal places?\nAnswer: 0.01123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 - 5*y - 4. Let o(k) = -k**2 + 3*k + 2. Let z be o(3). Suppose -z*v + 8 = -0*v. What is the remainder when v is divided by s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1251 - 186 = -5*n + 2*y, 0 = -3*n + 2*y + 859. Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 177*p**2 - 13*p**3 - 15*p**3 + 16*p**3.\nAnswer: -12*p**3 - 177*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-48)*(-40)\/9)\/(27\/(-162)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -405*z**4\/4 + z**3\/3 + 29*z - 599. Find the third derivative of t(l) wrt l.\nAnswer: -2430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 t, and 1 l when four letters picked without replacement from {t: 1, l: 3, k: 7, j: 2, q: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1046272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 734361888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47219.84l in millilitres?\nAnswer: 47219840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*c - 148694 = 209*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 + 13251*z**2 + 26523*z - 39771 = 0. Calculate z.\nAnswer: -3, 1, 4419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.26, -0.07, -0.3?\nAnswer: 4.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -30. Let z = d + 13. Sort z, -4, 4 in decreasing order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)\/h)**47\/(h\/(h**(-8)\/h)*(h*(h*h**(-1\/3)*h)\/h)\/h))\/(((h\/h**(-7\/2))\/h*h**(4\/9))\/(h*h**(1\/4)*h*h)**(-9)) assuming h is positive.\nAnswer: h**(-3835\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 1\/4*q**5 - 1\/3*q**3 + 0 + 1\/4*q**4 + 3*q + 0*q**2. Factor k(v).\nAnswer: v*(v + 1)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*v + 246 - 33*v - 237)*(6 - 2 - 3) to o + w*v and give w.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:53 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/119216 and 11\/68.\nAnswer: 2026672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c. Suppose c = -0*i - i + 10. Suppose -1 = 3*r - i. Solve -r*t = 10 - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1607.15 kilograms to nanograms.\nAnswer: 1607150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a factor of 5129342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from ffwyffywyfwfwyw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(95) - sqrt(95)*-2) - ((sqrt(95) - -1*sqrt(95))*4 + sqrt(95)))\/((sqrt(5) + 3*sqrt(5)*1 - sqrt(5)) + -3*sqrt(80)))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*d + 22 = 2*q, -3*q = -4*d - 10. Let j be (-2 - 56\/(-12))\/(q\/27). Solve -o - o = 3*k - 12, -3*k - o = -j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 5. What is b(-27)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54, 2.9, -5\/2 in descending order.\nAnswer: 4, 2.9, -5\/2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s + 20*s - 13*s + 20*s = 2046 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/84 - -1\/21. Let f = -0.03 + 0.33. Let r = -0.07 - -1.07. Which is the smallest value? (a) r (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/269 + -134\/7263. Suppose 0*y = -2*y + 2*m - 4, 8 = 3*y + 4*m. Suppose y = -b + 6*b. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3541 + 3536 - 42*m - 127*m - 24*m.\nAnswer: -193*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - 6*t)*(26 - 15 - 1).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -239.05 - -236. Let f = d - -2.05. Which is the nearest to 0.1? (a) f (b) 0.5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-14) + ((-363)\/(-21))\/11. Let r be (-5*n\/(-8))\/(16\/64). Let s(q) = 2*q**2 - 6*q - 5. Give s(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -2, 4\/13.\nAnswer: -2, 4\/13, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3 - 93*b + 62*b - 73*b. Is o(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let w(c) = 30*c**2 - 30. Calculate w(f(n)).\nAnswer: 270*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6572 - -2247. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 35832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/4 + g**3\/2 - 8*g**2. Find the first derivative of v(a) wrt a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.62 times 0.053\nAnswer: 0.45686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**3 - 4*f**2 - 7. Let t(p) = -7*p**3 - 3*p**2 - 6. Let k = -921 - -915. Give k*t(n) + 5*j(n).\nAnswer: 2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001023 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 46*c**2 - 12*c + 80. Let n be o(15). Calculate the greatest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/2)\/((-2)\/(-3)). Let o = -9 - s. Let t(f) = 5*f + 0*f**2 + 1 + 0*f + 4*f**2 - 3*f + f**3. What is t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 20485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/4)*b)\/((b\/(b*b\/b**2))\/b)*(b**4*b)\/(b\/b**(3\/7)) assuming b is positive.\nAnswer: b**(187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -256. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**2 - f - 2. Let b = 12 - 9. What is the remainder when k(b) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 6*v + 4. Let j be u(-6). Let q be 18*(28\/(-8) + (0 - -3)). Does 24 divide (-4)\/(j\/(-213) + (-6)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:13 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:25 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22022 = 3*l - 29476. Let j = l - 3166. What is j rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/60)\/((-28)\/(-20) + -7). Is 0 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 73.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 3*w**2 + 1401 - 1401)*(90 + w - 90).\nAnswer: -3*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 1161.3?\nAnswer: -1161.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162197 and 406.\nAnswer: 324394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120149, 480580, 1081295, 1922294, 3003577, 4325144?\n\"Answer: 120142*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/3*(-4)\/8. Suppose -3*y + 2*j = -2*j + 1, f*y + 3*j - 32 = 0. Solve 0 = 2*z + y*x - 6, 8*z = 4*z - 2*x + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97348500 to the nearest one million.\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43850 + -19369. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 + (1 - (-3 + 0)). Let y be ((-9)\/12)\/(8\/((-64)\/g)). Suppose y*j + 6*j - 64 = 0. Calculate the remainder when j is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -542497*t**3\/3 - 12*t**2 - 4*t + 11. Let x be z(4). Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 8:36 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose -3*d = c - 33, t = 3*d + 6*c - 4*c - 33. Let s(k) = -2*k - 8. Let n be s(-4). Solve 5*i - d - 4 = n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {f: 2, m: 3, x: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 3*z - 159. Suppose -5*l + 21 = 3*s + z, 12 = -2*l - s. Let k(f) = -2*f + 1. What is the remainder when 26 is divided by k(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 2*g**3 + 2*g**3)*(-404 - 486 - 864 + 1178).\nAnswer: 576*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*m - 60 = 0, 3*k + 32 = -2*m - 47. Let g = 29 + k. Suppose -g*q = -4*f - 168008, 170836 = -4*f - 2*q + 2840. Round f to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86580, 86571, 86550, 86511, 86448?\nAnswer: 86355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -118*x + 6. Suppose 0 = 3*y - 2*y - 20. Suppose 0 = 4*v - y - 8. Let f be m(v). Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + 10\/(-35). Suppose -8*p + 13*p - 435 = w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(90)*-2 - sqrt(90)))\/(-2*sqrt(192) - sqrt(192)))\/(2*sqrt(640) + sqrt(10) - -2*sqrt(10)*-2).\nAnswer: -sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 1\/17, 4, -4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 2\/157, 2551\/5?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 4*r + 7*n + 24, r + 4*n = 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 275009. Suppose 110012 = 2*w - 4*i, -5*w - i = -4*i - c. Round w to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2442 + 4814 - 5*f - 3*f - 2433 + 7*f. Let d(w) = 5*w**2. Give d(r(s)).\nAnswer: 5*s**2 + 610*s + 18605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -437*w**8\/336 - 1651*w**4\/12 + 3*w**2 - 512*w. What is the second derivative of u(x) wrt x?\nAnswer: -8740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -7, -1\/84, 0.1, 0.15 in decreasing order.\nAnswer: 0.5, 0.15, 0.1, -1\/84, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.76 + -1.38. Let n = z - -0.6209. Round n to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 3, m: 4}. Give prob of picking 1 e and 1 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -88195, -176984, -265773, -354562?\n\"Answer: -88789*v + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154 + -1462016?\nAnswer: -1461532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -58*n + 68*n. Suppose -5*c = 103 + 232. Let u = n - c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47044, -47682, -48318, -48952, -49584?\nAnswer: -50214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from gwgfifkfwkifi?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 12. Suppose 4*c + 4 = -m*j, 3*j - 3*c = -0*c + 21. Suppose h - 4*z = z + 26, j*z + 31 = 2*h. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 47.4. Let x = -4.01 + -0.19. Let b = d - x. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - (34\/(-10) + -2). Let h be -2 + (7 + -4 - q) - -10. What is the highest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101145001 (base 8) to base 5.\nAnswer: 13333403243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -89, 85, -29 in descending order.\nAnswer: 85, 3, -29, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d4b4 (base 15) in base 11?\nAnswer: 9a924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*v**5 - 1725*v**4 - 2228*v**3 + 27284*v**2 + 32832*v + 5056 = 0. Calculate v.\nAnswer: -4, -1, -2\/11, 4, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**5*m + 35*b**5 + 13*b**3*m + 1272*b*m + 2*b wrt b?\nAnswer: -60*b**3*m + 700*b**3 + 78*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590263001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*5\/31830*6\/9. Let t = l + 2131\/9549. What is the biggest value in 5, 2\/31, t, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Let o = 11 + -8. Let i be (3\/(-9))\/(o\/(-18)). Solve -8 = p*c - 2*k, -4 = i*c - k + 6*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/257303364 and 1\/1746.\nAnswer: 771910092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1295, -7, 2, 8 in increasing order.\nAnswer: -1295, -7, -3, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-11 + 19 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 15) to base 10\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 - 34*g - 36. Let h be u(-1). Which is the closest to 8? (a) 2\/11 (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n + 2*p - 2 = 0, -p - 3 = 4*n. Let h be 2*n*(-12)\/16. Let m = 6 + -3. Is m equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 126, 115, 106, 99, 94, 91, 90?\n\"Answer: j**2 - 14*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 0*y**3 - y**2 + 2*y**3 + 0 + 1 + 1. Let j(l) = -553*l - 6011. Calculate the remainder when j(-11) is divided by g(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4. Let m be f(8). Let k(l) = -l**3 - 4*l**2 + 2*l + 2. Let v be k(m). Let i(a) = -a**3 - a**2 - 6*a + 1. Is i(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h - 12. Let x be p(3). Solve 3*f + 5*b + 28 = 0, -x*f - 4*b = -0*f + 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -215 (b) -2\/23 (c) -1115 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 228. Let c = r - 92. Let t(y) = 2*y**2 - 4*y + 2. Give t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.694045 centuries?\nAnswer: 969.4045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/50 - 27\/(-5). Let f(t) = t**3 - t**2 + t - 2. Let v be f(2). Suppose 0*l + v = l. Solve -3*n - m - 11 = l*k, 3 = -n + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2. Let s(q) be the third derivative of q**5\/4 + 11*q**4\/24 - 4*q**3\/3 - 36*q**2. Let b be s(6). Let h(x) = 301*x - b*x + 301*x. What is h(m(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2169.3 - -2169.1. Let u be (-1)\/(-4) - 2\/8. Put p, -13, u in decreasing order.\nAnswer: u, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 6. Let n be w(-4). Solve 2*v + 0*v = -l + n, 4*l = -5*v + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d**3 + 3*d + 6. Determine u(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 1796 + 52 = 0. Let h = 264 + y. Solve h + 5 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.439 - 0.561. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424 = -85*v - 586 - 435 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h = -58*h - 158*h - 1564 + 7584 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -735, 1, -4, 3, -6 in decreasing order.\nAnswer: 3, 1, -4, -5, -6, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a*j*z**3 + 19*a*j*z + 5*j*z**3 - 551*j*z wrt a?\nAnswer: 8*j*z**3 + 19*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 6:49 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 10) to base 14\nAnswer: 58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -56800 to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:07 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 12408162?\nAnswer: 49632648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1984*a**3 + a - 2350?\nAnswer: -11904*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 165568*a**3 + 3045936096*a**2 + 18680387443200*a + 24901768652544.\nAnswer: (a + 18396)**3*(3*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-7)\/n)*(((n**(-1)\/n)\/n)\/n)\/n*n**(2\/7)\/n**4)\/((n*n**(-6)*n*n\/(n\/(n\/n**(-8))))\/(n**(1\/8)\/(n*(((n\/n**(-1))\/n)\/n)\/n))) assuming n is positive.\nAnswer: n**(-201\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 14 = -3*a, 0 = 4*a + u - 17. Solve -12 = a*j - 2*t, -4*t + 4 = -j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/100414595 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*g - 28. Let d = 49 - 35. Let r = d - 14. Sort -1.4, g, r.\nAnswer: -1.4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 15. Let w be m(-9). Solve 4*f + 18 + 4 = -3*z, -f = z + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p*p*p**(-1\/7)*p)\/(p*p**2\/p)**14*(p\/p**(-2))**(-1\/26)\/(p**(2\/5))**(-47) assuming p is positive.\nAnswer: p**(-3147\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 5. Let y be f(-1). Let v be 2\/y - 316\/(-6). Let x = -35 + v. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 1 + 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2406, -4832, -7270, -9726, -12206?\n\"Answer: -b**3 - 2419*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (5*(sqrt(11) + sqrt(66)\/sqrt(6) + sqrt(11)) - sqrt(11)) + sqrt(11) - (sqrt(11) + (sqrt(396))**2 + sqrt(11) + 4).\nAnswer: -400 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66119 is divided by 7336.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - s - 2*s)*(-2*s**2 - 3*s**2 + 4*s**2) + (-3*s**2 + s**2 + 0*s**2)*(42*s - 5 + 5) - s - 3*s**3 - 68 + 68.\nAnswer: -80*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/12 - 24*z + 26. Let q(l) be the first derivative of v(l). Let p(h) = 4*h - 35*h**2 - 4*h. What is q(p(f))?\nAnswer: 1225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/10 - 2\/(-5). Let l be 2\/m*-2*2. Let k be l*2*(-2)\/(-4). Let o(j) = -j**3 - 3*j**2 - 2*j - 1. Give o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250.343033 rounded to 0 dps?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -33*a + 368. Let l(k) = 8*k - 85. Let h(d) = -26*l(d) - 6*p(d). Let r(v) be the first derivative of -11*v**2\/2 + 2*v - 1. Calculate 6*h(c) - 5*r(c).\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose 5*x + 1 - 6 = j. Let y = 7 + x. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -630 - -552.8. Let o = -77 - m. Let h = -0.6 - -0.5. Which is the closest to o? (a) 5 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t**3\/6 - 4*t. Let x(b) be the first derivative of -b**3 + 3. Calculate j(x(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/336 and -91\/516024?\nAnswer: 7224336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -1175, -2252, -3301, -4322, -5315?\nAnswer: -6280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 49, 10193?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4862470491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4137221*l**3 + l**2 + 7*l**2 - 8*l**2 + 4137234*l**3 - 8274458*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30732.5 + 30732. What is the smallest value in -3, 3, d, 18.33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 51. Suppose -x*o + 4*o = -140. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2 - 10*p + 5. Let w be d(3). Let s(a) = a - 2*a + 0 - 4 + w - 16. Give s(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -11 (b) 14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*q + 12848 + 477028, -5*o - 244952 = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 12*y**3 + 31*y**3.\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9277 - -5585. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263806 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/100)\/(-6 + 243\/45). Let j be -57*(-7)\/((-42)\/(-4)). Suppose -j*c = -37*c. Is o less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 7, s: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2879024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3268+-5619\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(24)\/sqrt(2))*4)\/(-1*sqrt(30)\/(sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(3) + sqrt(10))).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g + 18*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 29 - 25 - 7*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -11330.\nAnswer: -11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 525 - 17. Suppose -87*a = -129*a + 70056. Suppose 5*t = a - z. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**6\/15 - y**2\/2 + 2*y - 1. Let d(b) be the first derivative of i(b). Find the first derivative of d(g) wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a + 8. Let w = -448 - -443. Let v = a - w. Solve v = 3*c - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/5 + -9\/5. Let f(z) = -z**3 + 7*z**2 + 9*z - 9. Let r be (-1)\/4 - (-66)\/8. Let k be f(r). Is k at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + 29. Calculate the remainder when o is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23283809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 13*r + 32. Let s be t(15). Is ((-9)\/((-9)\/s))\/(3\/150) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2678 + 9420. What are the prime factors of k?\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3762 is divided by 73.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -468*m**2. Let o(q) = -21207*q**2. What is o(h(l))?\nAnswer: -4644841968*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + -10110000101111?\nAnswer: -10110001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 + 7*i + 7. What is the tens digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 175511835, 4, -3 in descending order.\nAnswer: 175511835, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-3 + -5)**2.\nAnswer: 240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/245? (a) 4\/17 (b) -1\/33 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72194.\nAnswer: 2, 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -169. Let c = 117 + q. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-2 - sqrt(6)\/sqrt(27).\nAnswer: -73*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500796 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*w + 20 = 0, -3*d - 6*w = -7*w - 10. Let r(u) = -u**3 - u**2 - 9*u - 9. Let x be r(-7). Suppose h + d*h - x = 0. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 4*w - 0*w - 2*u, 0 = -4*w + 5*u + 125. What is the remainder when 21 is divided by (-8)\/(-100)*5*w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 18*q**2 - 19*q + 4. Let t be w(13). Let d = t + -391. Is d 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 7627?\nAnswer: 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*x**2 - 7558*h**3*x - 10*h**3 - 54*h**2 - 20456*x**2 wrt h.\nAnswer: 12*x**2 - 45348*x - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 4*q. Let i(t) = 3*t**2 - 7*t - 6. Let z(p) = 3*p**2 - 7*p - 5. Let u(x) = -5*i(x) + 6*z(x). Calculate 5*f(m) - 3*u(m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/45)\/(-3 - (-33)\/9). What is the third biggest value in -1\/3, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 3 = 33*u. What is the second smallest value in 16, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-m + 4 - 4 + (34 - 8 + 38)*(3*m - 4 + 4) - m + 3*m - 3*m).\nAnswer: -190*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 1. Find the second derivative of -2*b**w + 2*b**2 + b**2 - 8*b**4 - 4*b wrt b.\nAnswer: -96*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 63*f + 259. What is b(-68)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -4. Let t be 2\/(z\/(-1))*5. Differentiate -t*a + 2*a - a + 2 + a with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 12:19 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 - 9*z**2\/4 - 840*z.\nAnswer: 3*z*(z - 35)*(z + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -821 - -35305\/43. Let p be ((-4)\/(-5))\/((-1554)\/385 - -4). Let r be (-564)\/(-705)*(p\/(-12) + -1). Which is the biggest value? (a) r (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(13)*-2 - sqrt(2496)\/sqrt(3)) + sqrt(13) + sqrt(26)\/(sqrt(2)*-4) + sqrt(39)\/sqrt(3)*3)**2.\nAnswer: 1053\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/8)\/((m\/(m\/(m*m**12))*m)\/m)*m**(1\/11)\/(m**(-1\/12)\/m) assuming m is positive.\nAnswer: m**(-3221\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -197\/9524 or -1?\nAnswer: -197\/9524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55a + -5?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 162, 242, 322, 402, 482?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 14089448*q + 14089446.\nAnswer: 2*(q - 7044723)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = 2*m - 2, -3*m - h + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13365 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2 + j - 1. Suppose -f + c - 2 = 6, -4*f = -c + 17. Let r be 1*-1 - f*(-5)\/(-5). Determine m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17823 and -0.04.\nAnswer: -17823.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 2*x + 3. Let h be m(-2). Suppose -4*t = 2*a + a, -4*a = t. Find the second derivative of -2*l**3 + 0*l**3 + t*l**h + 4*l - 5*l wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -1, -54, -2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 18. What is the units digit of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4443677 to the nearest integer?\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-3 - -2) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:34 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146060 a multiple of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 7403.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/7 + 348*u**4\/7 - 5848*u**3\/7 - 17876*u**2 - 55818*u + 74480 = 0?\nAnswer: -7, 1, 35, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115\/282 + -7\/94. What is the closest to -0.014 in -4, -5, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/393 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + r**3 - 4*r**3)*(-4*r + 4*r - 2*r) + (2*r**2 - 3*r**2 + 4*r**2)*(-5 + 0 - 1)*(2*r**2 + 0*r**2 - r**2).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.118528 - 1.381558. Let u = 1.5 + k. What is u rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452340266.\nAnswer: 2, 293, 4184881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33816, 33818, 33810, 33786, 33740, 33666?\nAnswer: 33558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 9*p**3 - 17*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17, 1, 5, -375?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 167669, 334940, 502213, 669488, 836765, 1004044?\n\"Answer: z**2 + 167268*z + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/160*15\/18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2226048)\/6732*(-3)\/(-16).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/7 + 2478296*b\/7 - 767743882952\/7 = 0.\nAnswer: 619574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h - 3, g + 4*h - 12 = 0. Let x = -13 - -14. Which is the nearest to x? (a) 0 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.5 + 6. Which is the second smallest value? (a) i (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 0. Let m be (p\/5)\/((-14)\/(-10)). Let l = 344 + -344.2. Which is the closest to m? (a) l (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6463 (base 9) to base 10.\nAnswer: -4755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23312 and 447392?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, -3 in ascending order.\nAnswer: -23, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c - 6. Which is smaller: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 21*m + 10. Suppose 2*g - 66 = -2*q, m*g - 5*q - 22 = 193. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 756426*w**2 - 2*w - 7628497.\nAnswer: 1512852*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-144)*-10)\/((-15)\/(-2))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 2. Let t be ((-3)\/4)\/((-153)\/w). Let h = -12 - -13. Which is the nearest to 1? (a) 3 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1645*i**2 + 4801*i**2 - 1714*i**2 - 1660*i**2.\nAnswer: -218*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 184.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38445821, 76891641, 115337461, 153783281, 192229101, 230674921?\n\"Answer: 38445820*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-23200)*-10*-8)\/(3\/(-2)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 - -174?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 110. Suppose 13*m - 12*m - 2 = g. Let 0*l + 0 + 1\/2*l**m = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3) + (-1008)\/(-378).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -416 - -411. Let k(g) be the second derivative of g**4\/12 + g**3 - g**2\/2 + g. Give k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20477138 - -0.5.\nAnswer: 20477138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203258225.\nAnswer: 5, 8130329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c**3 - 3*c + 7. Let m(s) = s**3 - s. Determine -6*m(p) + 2*v(p).\nAnswer: 26*p**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (1495\/(-20))\/13. Let q = -1 + 1. Let w = q - 0.3. Which is the third biggest value? (a) w (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*x - 11943 = 222*x. What are the prime factors of x?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/38770 or 1?\nAnswer: -1\/38770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let u(h) = -39*h**2. Let r(x) = 38*x**2 + 1. Let p(t) = 3*r(t) + 2*u(t). Determine p(i(k)).\nAnswer: 144*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4)*4 + -1. Suppose o + 35 + 345 = 4*p, 2*p - o - 190 = q. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -248, -241, -234?\n\"Answer: 7*j - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2111131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/14)\/(o\/o**(-8)) assuming o is positive.\nAnswer: o**(-123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i - 2435 = 95*i + 131*i - 19226 for i.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 6. Let q be ((-4)\/3)\/(v\/(-24)). Suppose -b + 16 = -q. Calculate the highest common factor of b and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from vvvvvvvvvvvvvvvvvvvc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-618)\/(-90) + 114\/(-95))*-3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*q = -1241, 5 = 12*q - 11*q. Suppose 3*b - 2123 = -4*m - p, m - 4*b - 363 = 0. Is m a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025591086588 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 3096.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2085 by -3.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Suppose 2*o + k - 126 = 0, -k + 3*k = 0. Let u be 12\/9 - 66\/o. What is the second smallest value in u, -5, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31554065?\nAnswer: 5, 2447, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -1\/3, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1}. Give prob of picking 1 p and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 555583867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 535998783.44.\nAnswer: 535998783.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 1 - (9 + -13). Solve -3*i + 7*p - 35 = 3*p, a*i - 10 = -5*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -120 (b) -0.12 (c) 0.4 (d) 65.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 6*u - 15\/2.\nAnswer: 3*(u - 1)*(u + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -78. Suppose -o - 6 - 2 = -4*x, 2*o - 10 = -r*x. Let s be o - (4 - -2 - (3 + -1)). Sort 3, s, 1 in ascending order.\nAnswer: s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -35, 4, -4, 6 in descending order.\nAnswer: 6, 4, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**6)\/l)**(7\/5)\/(l**5*l**(2\/3)*l) assuming l is positive.\nAnswer: l**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**4 + 8*r**3 - 36*r**2 - 48*r - 16 = 0. Calculate r.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3013 + 0.3021046. Round z to five dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 4. Let n(j) = -17*j + 20. Let k(x) = 11*f(x) + 2*n(x). Let d(a) = -2*a - 5. Determine 2*d(l) - 3*k(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 885 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 2*q**2 - 6*q + 4. Let u be v(4). Suppose 4*g = g - u, -5*k - 4*g = -14. Solve j + 2*c = -k, 6 - 1 = -2*j + 3*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 20. Let h be o(15). Let a(y) = -3*y**2 + 1. Let i be a(2). Let r = i + 30. Solve -2*k = 4*s + 3 + r, -3*k + h*s = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*n + 30, -3*i - n + 2*n + 12 = 0. Suppose -i*z = -4*z - 2*g - 2, 4*z = -g - 28. Let p(r) = 3*r - 6. Determine p(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017514 to five dps.\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-104))\/3 - ((-390)\/(-120))\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101478312 divided by 867336?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2563.\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61863 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 257, 321, 389?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 + 20*f - 1. Let p(b) be the first derivative of b**3\/3 - b**2\/2 + 1032. Calculate o(a) + 2*p(a).\nAnswer: -2*a**2 + 18*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -704.05 - -703.75. Let l = 33 - 97\/3. What is the closest to -4 in j, l, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -13*p - 25. Suppose p*t + 5*v - 3*v = 15, -v = 0. Let m be t\/(-5) - (-228)\/5. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006 divided by 1006?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2.1 (b) -4 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let k(w) = -3*w + 2. Let h(a) = -7683*a + 8 + 3 + 7667*a. Let z(b) = 2*h(b) - 11*k(b). What is -3*o(n) + 2*z(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*c - 2*l + 65, -4*l = 3*c + 78. List the prime factors of 2\/12*839 + (-5)\/c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 294946.3504 and -159813?\nAnswer: 454759.3504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-72))\/(-13)*-4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(9) - -2*sqrt(63)\/sqrt(7))\/(sqrt(3) - (-3*sqrt(33))\/sqrt(11)).\nAnswer: -3 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 50*m**3\/3 + 7*m**2\/2 - 4*m - 4. Let k be c(7). Is k\/10 + 1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 3*(-4*(sqrt(176) + -1) - sqrt(176)))**2.\nAnswer: -960*sqrt(11) + 39664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.3 + 29. Let s = -1.3 - q. Let k = 66.8 - 64.8. What is the nearest to -1\/4 in 4, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 - 4 + 4 + (-2 - 3 + 7)*(9*a**4 + 11*a**2 - 11*a**2) to the form y*a**2 + x*a + t*a**4 + n + i*a**3 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2111 - 2114 + 8455 - 10*m - 2115 - 2115.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.077 + 0.327. Let z = -217.205966 - -217.456. Let y = k - z. What is y rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3150659555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-2)\/24 - 4914\/(-324). Suppose 4*k - 81 = h, k - 21*h - y = -25*h. Calculate the greatest common factor of 220 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - 2*v**4 + v**3)*(3*v + 6*v + 10*v).\nAnswer: -38*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15475*i**2 + i**4 + i - 34389*i**2 + 17387*i**2 + 2*i**3 - 2*i**3 - 9509 wrt i.\nAnswer: 12*i**2 - 3054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1. Let k(r) = -r + 28. Calculate -k(w) + 3*v(w).\nAnswer: w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 397689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(90) - 2*sqrt(90) - sqrt(90))\/sqrt(5))\/(4*(sqrt(96) + sqrt(6)) + sqrt(6))*-5.\nAnswer: -10*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, -2\/3, -0.5 in ascending order.\nAnswer: -2\/3, -0.5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 1 + 2*x**2)*(-4 - 2*x**2 + 4) + (-483 + 46*x + 483)*(x**3 - x**3 - x**3).\nAnswer: -50*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -875615*z**2\/3 + 28019681*z\/2 - 24 = 0.\nAnswer: 3\/1751230, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 23*a - 19*a + c, -c - 11 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139352847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w + 16. Let m be x(0). Let r(o) = -o**2 + o + 4. Let f be r(2). What is the highest common factor of f and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -3\/332338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 4\/13 (c) -3.45 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -4\/3 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i - 54*i**2 + 49*i**2 + 0*i + 0*i + 8 wrt i.\nAnswer: -10*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/8? (a) 3\/2 (b) -3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 + v - v)*(-1 - 4 - 3) + (-3 + 0 + 0)*(-2*v**3 - 7*v**3 + 5*v**3) + 3*v - 2*v**3 - 3*v to i*v**3 + k*v**2 + x + h*v and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -4. Let c(k) = 2*k - 9. What is c(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 - i + 3. Let y = 87 + -83. Calculate r(y).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.20062 + -0.25062. Put b, -3\/7, 49 in decreasing order.\nAnswer: 49, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 3}. What is prob of picking 1 o and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, 3\/101, -3238?\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496.3 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -370.5 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 273*i = -271*i + 6, 0 = -3*b + 3*i + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, -11, -29, -53, -83, -119?\n\"Answer: -3*b**2 - 3*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 (base 7) in base 3?\nAnswer: 22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 6*i**2 + 3. Let w(u) = u + 3*u**2 + 0*u + 2 - u**3 - u. Let v(a) = 6*t(a) - 11*w(a). Solve v(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -48. Suppose -3*f - 2 + 11 = -3*c, 0 = -5*c + f - 3. Sort c, l, -3 in decreasing order.\nAnswer: l, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36537*r**4\/4 + 1534553*r**3\/2 - 61272381*r**2\/4 - 33779295*r - 1849 = 0 for r.\nAnswer: -2, -2\/36537, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -339217322, -339217325, -339217330, -339217337, -339217346?\n\"Answer: -t**2 - 339217321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -209*k - 262*k - 269 - 119 + 432*k. Give b(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 665947637 and 5114?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5120 and 15440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 4 + (6 - -5) - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from jkzzczczzkckj?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -26, -20, 8, 64, 154, 284, 460?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 37*h**2 + 2*h - 6*h + 6*h**2 - 7*h**2.\nAnswer: -39*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w + 3. Let z be t(-1). Let f(u) be the third derivative of 4*u**2 - 8\/3*u**3 + 3*u**5 - u**4 + 0*u + z + 35\/12*u**6. Factor f(h).\nAnswer: 2*(5*h + 2)**2*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17611225 + 0.6385?\nAnswer: 17611225.6385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 309937348 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 617*y - 38 + 8 - 1344*y + 2 to o + g*y and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2, s: 1, z: 3, v: 1, u: 3}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h + 0*h)*(-50*h**4 + 14*h**2 + 9*h**2 - 22*h**2).\nAnswer: 200*h**5 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2196*p = -1077*p - 1056*p - 126. Let 3\/4*c**p + 0*c - 1 - 1\/4*c**3 = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/71, -1, -0.65, 2\/15, 0, -8 in increasing order.\nAnswer: -8, -1, -0.65, -2\/71, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.042, -6\/29, -9.9?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 2}. What is prob of sequence llss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - f**4 + 3*f**4 + (-3*f**2 + 3*f**2 + 2*f**2)*(-f + 2*f**2 + f) + (f**4 + 0*f**4 - 2*f**4)*(-8 - 2 + 2).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/210 - l**5\/35 - 3*l**4\/14 + 18*l**3\/7 + l**2 + 60. Factor o(f).\nAnswer: 4*(f - 3)**2*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27879754*k**4 - 9577*k**2 - 39*k - 48.\nAnswer: 669114096*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 32 = -7*z. Is (-3)\/(-4) - 434\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -51, -71, -107, -165?\n\"Answer: -v**3 + v**2 - 6*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*l + 2*l = 221, 4*u = 4*l + 268. What is the remainder when -7 + (-6)\/(-2) - -206 - 0 is divided by u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9235810 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -397899483\/16 + 24859878. Let o = 8844 + a. What is the common denominator of o and 109\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 15*t + 12. Calculate the remainder when y(-12) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -17*m**6 + 6*m**5 + 11*m**2 + 6. Let t(j) = 18*j**6 - 7*j**5 - 11*j**2 - 7. Let b(l) = -6*t(l) - 7*y(l). Find the third derivative of b(f) wrt f.\nAnswer: 1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 69*w + 9. Let o be v(-3). Is 3 + (-1)\/(3\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -0.2 (c) 3\/14821 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011298079 to five decimal places.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -652 - -1698. Let y = u - 1046.000000833. What is y rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9338131 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 - 94*s - 5. Let j(x) = -x**3 + 3*x**2 - 47*x - 3. Determine 5*j(k) - 3*r(k).\nAnswer: -2*k**3 + 47*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1696.886um to centimeters.\nAnswer: 0.1696886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -60. What is the third biggest value in 2, -10, x?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from carrnug. Give prob of picking 1 r and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 6*s - s + (4 - 1 + 0)*(-16*s + 4 + 4 + 14*s).\nAnswer: -3*s + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -105 in -1\/2, 1, 39\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -373\/37 at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 + 118104*s**3 + 29338500*s**2 + 1829750000*s = 0. Calculate s.\nAnswer: -29276, -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*q + 3*v, 471*v = -5*q + 467*v - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in 1\/4, -260, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11220220 (base 3) to base 7\nAnswer: 13314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250764 (base 9) to base 2.\nAnswer: 100100111111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/107 and 8\/2137.\nAnswer: 228659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 126*c + 460. Let v be b(38). Sort -12, -5, v, 2, -4 in descending order.\nAnswer: v, 2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75480422 + -0.24?\nAnswer: 75480421.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 times 0.5?\nAnswer: 188.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/6 + 3*p**5\/5 + 3*p**4\/4 + p**3\/3 - 1. Determine r, given that j(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 8*i**2 + 9*i - 13. Suppose -80*n - 84 = -92*n. Calculate q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132651.75 * -0.02.\nAnswer: -2653.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/3 - (8\/6)\/4. Suppose 5*n - 4*u = 17969, -t*n = u - 14108 - 263. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15269676601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 d, and 1 u when four letters picked without replacement from {r: 1, v: 11, t: 5, d: 2, u: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8290 and 4?\nAnswer: 16580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 + 16. Let y = p - -980\/3. Is y not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*g = 157*g - 1300 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - 1) + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:38 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**6\/120 + b**5\/6 + b**4\/12 - b**3\/6 - 3*b**2. Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39843536 is divided by 39843513?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1893 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 9. Let l be d(6). Let k = 1 - l. Let f = k - -1. Solve 1 = 3*h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 9*b**2 - 8*b - 15. Let u be g(7). Suppose -22*r = j - u*r - 135, -2*r = 4*j - 606. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1202\/6725?\nAnswer: -1202\/6725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3401 and 9147892.\nAnswer: 1637472668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-4) + -1)\/(6\/36). Solve -5*n - g = -9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + 6 - 3*a - 56*a**4 - 2 + 63*a**4 as h*a**4 + x*a + u*a**3 + z + d*a**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - o - 25 = 4*o, 12 = -3*o. Suppose -s + j = -7. Suppose -72*b + 71*b + s = 0. Solve 0 = -v - 2*v - b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1165 divide 3943525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(37 + -56 - -25). Put -2, 4, q, 243 in descending order.\nAnswer: 243, 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n**3 - 2779*n**2 + 2781*n - 1. Calculate j(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/75020 and 3\/2294.\nAnswer: 2775740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1000 - 105001\/105. Put -2\/19, n, -5 in ascending order.\nAnswer: -5, -2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0 + 3475*g + 4142*g - 42 - 1. Is b(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 17*p**2 - 37*p + 265. Calculate d(18).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/(-9) + 1\/3. Let j(s) = 3*s**2 + 5*s + 6. Let f(k) = 4*k**2 + 5*k + 9. Let a(y) = 2*f(y) - 3*j(y). Calculate a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*n - 113, 4*f + 2*n = 3*n - 136. Let y be ((-8)\/14)\/(10\/f). Differentiate -2*x**4 + 2*x**2 + x**2 + 3 - 3*x**y wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1606 and 9944?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 2718, -7 in ascending order.\nAnswer: -7, 2, 4, 2718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 24 = 2*y + t, -4*t + 28 = 4*y. Calculate the remainder when 14 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 61*h**2 + 141*h - 40. Let g be s(28). Is 0.03 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049698 to the power of 1\/2, to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114004440 (base 5) to base 9.\nAnswer: 1000526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -453 - -496. Suppose 3*y = 908 + 511. What is the highest common factor of y and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**7\/1260 + v**4\/12 - 3*v. Let y(m) be the third derivative of x(m). Let u(s) = -3*s**2. Calculate u(y(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8340313 or -8340314?\nAnswer: -8340314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13503937.2 to the nearest 100000.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27517773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2436)\/(-27666)*(-48)\/56?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 21. Calculate a(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -28. Let p = d - 10. List the prime factors of 0 + p\/3 - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let c = g + -0.1. Let f = -2 - -2. What is the smallest value in -4, f, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 132 - (11 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 9*i**3 + i**3)*(37 + 53 - 16).\nAnswer: -518*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8407*f + 42281*f + 33978*f.\nAnswer: 67852*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 267, 274, 277, 276, 271?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/5, -2\/29, 2\/3 in descending order.\nAnswer: 2\/3, 2\/5, 0.1, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 83*y - 11. Let x(j) be the third derivative of j**5\/60 - 41*j**4\/24 + j**3 - 6852*j**2. What is -6*l(k) - 11*x(k)?\nAnswer: k**2 - 47*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6386*n - 15000*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (341*u**2 + 123*u**2 + 88*u**2)*((-1 + 4 - 2)*(3 - 3 + 1) + 2 - 2 + 1).\nAnswer: 1104*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -398\/11. Which is the closest to 1? (a) -4 (b) u (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1354, 2705, 4054, 5401, 6746, 8089?\nAnswer: 9430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 31 = 169. 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: What is the remainder when 1098117 is divided by 2068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 21. Calculate h(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5345 + -3.4655. Let l = 16 - 33\/2. Put 0.5, x, l, 1 in increasing order.\nAnswer: x, l, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 15. Let n be c(-11). Suppose n = 4*p - 4*f, 2*f + 20 = -2*f. What is the second derivative of -p*b**4 - 3*b + 2*b + 8*b**4 wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - i**2 + 2 + 0 + 5*i + 3. Let c be a(10). Let g(l) = c*l - 9*l + 5*l. Let j(s) = -s. Give j(g(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103532, 103524, 103502, 103460, 103392, 103292, 103154, 102972?\nAnswer: 102740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) -0.055 (c) 1\/7 (d) -4 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -43*y**3 - 1. Let s be v(-1). Let z = 75 + -128. Let l = z + 81. What is the greatest common factor of l and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**10\/a*a))\/(a\/a**(11\/5)) assuming a is positive.\nAnswer: a**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -20 - (-3)\/(-3). Let w be 2\/4 + v\/(-2). Is w\/(-6)*2*-6 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 - 4*z**4 + 9*z**4)*(6*z + 6*z - 7*z) + z**4 + z**5 - z**4 + (2*z - 3*z - z)*(19 + 17 - 1)*(-5*z + 5*z + 2*z**4).\nAnswer: -119*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 1. Let u(x) = -x. Let b(r) = 2*t(r) - u(r). Determine b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*j**2*w + 13603557*f*j + 1461*j**2*w + 3*j - 3*w + 2 wrt f?\nAnswer: 2*j**2*w + 13603557*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*6\/((-6)\/(-1)). Factor -7*x**4 - 78*x**j + 25*x**3 - 3*x**4 + 93*x**2.\nAnswer: -5*x**2*(x - 3)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 158805570.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -609 - -979. Calculate the greatest common factor of f and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -12.3. Does f = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 1. List the prime factors of q(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 + 3*s**2 + s + 7. Calculate k(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.2. Let n = 1267889 + -1267890. Let z = 49 + -27. Sort 1\/9, n, z, i in ascending order.\nAnswer: n, i, 1\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 22 - 2 + (0 - 2 + 1)*(2*u - u - 3*u))*(-1 + 1 + 1).\nAnswer: 3*u - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16556\/8775 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 2\/7, -0.4.\nAnswer: -3, -0.4, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 21*i + 16589 = -3*v, -3*v = 5*i - 20743. List the prime factors of i.\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 245*q**2 - 1671*q - 1212. Calculate t(-238).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0, -0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytejs. What is prob of picking 1 y and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3002 in 16\/5, -6\/13, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-42))\/(2*2\/84)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(((-177)\/(-295))\/(-2 + (-41349)\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 o when four letters picked without replacement from jomzkjxoxmjj?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -984, -3959, -8918, -15861, -24788?\nAnswer: -35699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*u - 21. Let w be ((-4)\/(-20))\/((-1)\/u). Which is the biggest value? (a) -4 (b) 1\/5 (c) w (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, -10, -226, -598, -1132, -1834?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -64\/3 (c) -0.1 (d) 4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 + 66068*y**2 - 363365324*y + 665495738908 = 0 for y.\nAnswer: 5327, 5863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190720552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 729710*p**3 - 3627477*p**2 wrt p.\nAnswer: 4378260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m - 12. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, r: 6, v: 3}. What is prob of sequence ver?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 20\/(-110) - (-8906)\/22. Calculate the highest common divisor of 324 and s.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/3)))**(4\/7)*v**(-2\/31)\/v*v**(4\/19) assuming v is positive.\nAnswer: v**(-8207\/12369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11542014 - -2?\nAnswer: 11542020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 170416809745 + -0.27.\nAnswer: 170416809744.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36801 = 29*t - 970920. What are the prime factors of t?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*g + 19, -g + 1 = -0*g. Let n(s) = 2*s**2 + 16*s + 27. Let z be n(r). Let o(q) = q**2 - 2*q - 6. Determine o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -68078\nAnswer: 7\/68078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-18)*(13 - -11). Let i(x) = -10*x**2 - 10*x**2 + 8 + 22*x**2 - a*x**2 + 4*x + 13*x. What is i(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 6027208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v - v**2)*(54*v**3 - 35 + 35).\nAnswer: -54*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 112.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 51*r**3 + 17*r**2 - 60*r - 15. Is h(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -626\/7*z - 1\/7*z**2 - 625\/7 = 0. Calculate z.\nAnswer: -625, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -189 + -507354?\nAnswer: -507532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - -235. Suppose 0 = 9*t - 375 + p. Calculate the remainder when 63 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7349 - 4360. Is 41 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238799645 minus 0.8447?\nAnswer: 238799644.1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23528 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(5\/2)*x)\/(x*x**1\/x*x*x))**9 assuming x is positive.\nAnswer: x**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**3 + 4*c**3 - 18*c**3 + 3*c**2 to the form g*c**3 + h + d*c + k*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 23863.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 19*o + 170 = 0. Let p be 2\/4 - (-153)\/o. Is p\/16*-1 - 3395\/(-20) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 - 873*l**2 - 344*l - 394. Give d(175).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87835203, -175670407, -263505611, -351340815?\nAnswer: -439176019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04524655+2.11\nAnswer: 2.06475345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 626 (c) -12 (d) -0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 66*o**2.\nAnswer: -66*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.1569 and -0.052.\nAnswer: -3.2089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106701 is divided by 146.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:37 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284613 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340b6 (base 13) to base 9.\nAnswer: -780101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**3 + 4*l**3 + 8*l**3 + 3*l**3 + 2*l**2 - 2*l**2 + (3 - 4 - 1)*(l**3 + l - l))*(-l**2 - 2*l**2 + 4*l**2).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + (0 + -2 + sqrt(2448) - sqrt(2448)) + (sqrt(2448)*-1 - sqrt(2448)) + -3)**2 + (-2*sqrt(2448) + -3 - 1*2*sqrt(2448))**2.\nAnswer: 408*sqrt(17) + 41650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1657907.8 to the nearest one thousand.\nAnswer: -1658000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2. Let w be 4\/(-42)*(-3 + 17 - 17). Which is the fourth smallest value? (a) 0.4 (b) w (c) h (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-38 - -15) - (3 + (-1 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.5, 5, -31 in decreasing order.\nAnswer: 5, -1\/7, -0.5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30656 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 4. Let j be (-4)\/f*(-713)\/124. Is j < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13147340 (base 9) to base 4\nAnswer: -120223011333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.7. Let p(f) = -9*f - 3. Let m be p(-2). Let n be 3\/(m\/12 + -2). Which is the biggest value? (a) z (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568665 is divided by 5811?\nAnswer: 5506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13409 or -13387?\nAnswer: -13409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -689777*q**4 + 8294*q**2 - 2*q**3 + 689777*q**4 - 1833*q**5 wrt q?\nAnswer: -109980*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 370*l**2\/3 - 1456*l\/3 + 1448\/3.\nAnswer: -2*(l - 181)*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68341, 136729, 205121, 273517?\nAnswer: 341917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 2*(2 - 55\/10). Let o(w) = 6*w**3 + 5*w**2 - 9. Let a(h) = -5*h**3 - 4*h**2 + 8. Let m be 45\/(-6)*(-4)\/6. Determine b*o(c) + m*a(c).\nAnswer: -c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26817 and 0.2?\nAnswer: -0.053634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 306\/18 - -660. Calculate the highest common factor of c and 1215.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaauauaaooau. Give prob of picking 2 u and 2 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 2 s when four letters picked without replacement from {g: 3, x: 1, e: 7, f: 5, s: 3}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -24. Let k = i + -6. Let d = -5.6 + k. Which is the biggest value? (a) -3 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16) - -35*9\/(-360))*38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Differentiate -z - 3 - n - 2*n wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**2 - 10*a**2 + 71*a**2 - 19*a**2.\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5477, 5485, 5493, 5501?\nAnswer: 5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104365 divided by -5.\nAnswer: 20873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -65.58 and -2.19.\nAnswer: -67.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(10023\/1028)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276597?\nAnswer: 1487, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 10*v + 9. Let w(t) = -t + 7. Suppose -6*i = -2*y - i + 15, 5*i + 15 = -4*y. Let b be w(y). Is p(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -4*g - 3*o, 5*o = -6*g - 58 + 8 - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/(a\/(a\/(a\/(a\/((a\/(a*a**21))\/a*a)))))*a)\/a**(-13))**(-3\/17))**40 assuming a is positive.\nAnswer: a**(-4560\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 1682*x - 1682*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**13*i)\/i)\/i**(-8) assuming i is positive.\nAnswer: i**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 25*y + 2. Let d(c) = c**2 + c + 2. Let j(r) = -4*d(r) + p(r). What are the prime factors of j(15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/18*(-2 - 14\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 381195020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-14 - (-33 - -29))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 258 = -554. Let p(k) = 3*k**2 - 9*k + 129. Is p(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10604517 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 121 = 8*b - 224 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, g: 8}. What is prob of sequence ga?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 84104\/5, -21 in ascending order.\nAnswer: -21, -3, 84104\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*u - 11*u + 113833020 = 6*u. Round u to the nearest 1000.\nAnswer: 764000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59015406937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzzhwrzhrzzz. Give prob of sequence zww.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-10 - (-4 + -1))) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9764 and 7748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzlllvykzlzvkyvk. Give prob of sequence kvv.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*u - 4*u + 14 - 7*u - 6*u in the form r + f*u and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 - 18*i**2 + 29*i - 31*i - 3 - 25*i**2 in the form y + w*i**2 + g*i + l*i**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*q + 167*q = 120*q + 2695 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 14. Let f be -3 + 5*(y + -1). Solve 1 + f = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 4984.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:48 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -2\/3, 0.1, 1\/4, -37, -2 in ascending order.\nAnswer: -37, -35, -2, -2\/3, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.0306 (c) -3\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkfu when four letters picked without replacement from {v: 2, a: 1, u: 2, k: 2, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 10*d + 14. Let b be a(-14). Let j = -141 - -66. Let o = b - j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200022112 (base 3) to base 9.\nAnswer: 20275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 8:34 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2702 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 16*a - 8. What is the lowest common multiple of y(7) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.39373 nanometers to kilometers.\nAnswer: 0.00000000009639373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5 - 336*g**4 + 29156*g**3 - 147246*g**2 - 1312245*g - 1796850 = 0.\nAnswer: -3, -2, 11, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 42330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0661 + -4.8039. Let r = -0.13 + l. Let t = 5.1 + r. Which is the third smallest value? (a) t (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368.1 + -368. Let t be (-4)\/6*-2 + (-6)\/9. What is the nearest to w in 5\/3, t, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -25 - (151 - -10 - 140)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*m**6 - 443*m**2 wrt m?\nAnswer: 50760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2508, -4377, -6246, -8121, -10008, -11913, -13842, -15801?\nAnswer: -17796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, 3\/149, 10 in increasing order.\nAnswer: -3, 3\/149, 1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 8*b**2 - 2*b - 10. Let z(s) = s**3 - 14*s**2 + 2*s - 36. Let n be z(14). What is k(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 162*h + 3. Let n be t(1). What is the tens digit of n + (1 + -3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -87*u + 1. Let n be c(-1). Suppose 0 = 36*h - 96 - 325 + 25. What is the highest common factor of h and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21403300 (base 5) to base 9.\nAnswer: 311471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**20\/((w**8\/w)\/w)**(-1\/4) assuming w is positive.\nAnswer: w**(123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + 123. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 3*r**3 + 25*r**2 - 7*r**2 - 10*r**2 - 11*r**2.\nAnswer: 3*r**3 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4223.31276 to the nearest ten.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20684 (base 12) to base 13.\nAnswer: 16414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 3*w - 0*w. Let y = 41 + w. Solve -11 = 4*r - 4*z + 25, -22 = 3*r - y*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 + 2*n**2 + 3*n\/2 - 9.\nAnswer: -(n - 3)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**5 - d**3 + d**2 - 1. Let y(q) = 10*q**5 - 3*q**4 - 8*q**3 + 12*q**2 - 2*q - 9. Let v(n) = 18*l(n) - 2*y(n). What is a in v(a) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 52. Let x be s - 0 - -2*1. Suppose 3*r + n + 17 = x, -77 = -5*r - 2*n. Solve -2*g + r = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**6\/66 - 2*d**5\/55 + 2*d**3\/33 - d**2\/22 - 17. Factor x(f).\nAnswer: f*(f - 1)**3*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3 - 512*i**2 - 37296*i - 366912 = 0. What is i?\nAnswer: -42, -12, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajastajjtjjs. What is prob of sequence ttj?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 = 3. Let u be y*(-2)\/24*-3. Let v = -12.4 + 12.7. Which is the closest to u? (a) 0 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9188660 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8)\/sqrt(2))\/sqrt(2) + sqrt(4)\/(sqrt(4)\/sqrt(2)))**2 - ((sqrt(2) + (sqrt(72))**2)*2 + 2))*-3 + -3.\nAnswer: 6*sqrt(2) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + -1 + 4*(1 + sqrt(539)*-1 + -4)**2.\nAnswer: 168*sqrt(11) + 2194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 31*t + 26 = 0. Find the second derivative of 316*f - 212*f - 244*f + 118*f**t wrt f.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/r**(-1\/4))\/r)**(-2\/15))**(2\/17) assuming r is positive.\nAnswer: r**(-1\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 32*x + 804. Calculate d(-23).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 795\/4 or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n + 2. Let y be c(7). Let d = 1696 - 1695.9. Sort d, 1, y in ascending order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -1066, 657, -2 in ascending order.\nAnswer: -1066, -3, -2, 7, 657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o - 3. Give g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(2057) - sqrt(2057)))**2 - (1*sqrt(425) + -2)**2.\nAnswer: -348 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 - 11*u - 1. Let x be q(-5). Suppose -3*o + t - 1 + 4 = 0, x*t = -3*o + 18. Suppose 3*h + 0*h = -5*j + 264, o*j = 0. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -54*d + 245. Let u(x) = -26*x**3 - x**2 + 1. Let i be u(-1). Suppose 0 = -h + i + 29. What is the highest common divisor of d and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z**2 + 64*z + 1291. What is the thousands digit of o(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2744 and 23059204.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -59\/5, 0.08, 0.667.\nAnswer: -59\/5, 0.08, 0.667, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*r + 16*r**4 + 35*r + 12*r**4 - 3*r**4 + r**4 + (0*r - 5*r + 3*r)*(0 - 2*r**3 + 0) - r**4 + r - r + 4*r**4 + r**4 - 3*r**4.\nAnswer: 31*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + 1014*f + 257049 = 0 for f.\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j - 18. Let s = 79 + -81. Let p be c(s). Suppose -3*v + 8 - 26 = p. Are -51\/7 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 545 = -3*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19867843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 274, 584, 1008, 1540, 2174?\nAnswer: 2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37759 is divided by 87.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -13, 1, -1, 4 in ascending order.\nAnswer: -13, -3, -1, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 6*z + 5*z**4 + 4*z)*(-1 + 0 + 2).\nAnswer: 5*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.3. Let p = 4356 + -4368. What is the third smallest value in p, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-9)\/(-7))*(-574)\/1640?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49b4a3 (base 12) in base 13?\nAnswer: -330c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24 less than 230\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3a8100 (base 13) to base 11\nAnswer: -888875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 3*j + 3. What is the remainder when 119 is divided by z(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4184\/(-1046))\/((-3)\/(114\/2)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**3)\/h*h**0\/h*h*(h*h**(1\/3))**2 assuming h is positive.\nAnswer: h**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 10560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1341620 by -74.\nAnswer: 18130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 1056*p**3 - 175968*p**2 - 54286848*p - 2642782464 = 0. What is p?\nAnswer: -84, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 12*k - 7. Let l be s(-13). Let c be 56\/(-6) - l\/(-18). Let p = 4 - c. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 74.3. Let y = -68.3 - c. Let l = y - -66. What is the closest to -0.1 in l, 1\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -0.088.\nAnswer: -0.00264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 44*m + 215. Let d be s(15). Suppose -9 = 16*j - 19*j, n - d*j - 1138 = 0. Is n a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 18. Let m be h(13). Suppose -7*v + 2*v + 4*n + 25 = 0, -m*v - 5*n = -25. Suppose q = -v*q + 330. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295 - -294.9. Let p = -199.4 + 199. Which is the closest to o? (a) p (b) -0.17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d + 40 = 0. Let a(h) = h**2 + 6*h - 10. List the prime factors of a(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68203178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let s(q) = 7*q + 8. Calculate 6*j(n) - s(n).\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 102, -29, -264, -633, -1166, -1893, -2844?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 620\/(-180)*528\/176\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -205 at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -202180714 and 0.25.\nAnswer: -202180713.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*v = 859 + 464 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -0.9. Let c be (2 - 34)\/(5 + -9 + 2). Suppose c - 4 = 12*j. What is the biggest value in f, j, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = 16*p + 14. Let c(i) = -i**2. Let y(a) = a**2 + 1. Determine p*y(h) - 4*c(h).\nAnswer: 5*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5372*w + 4863. Calculate y(1).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 76 = 26 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 458*q - 13 + 461*q)*(0*q + 2*q - q).\nAnswer: 3*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 1) + 27\/9. Suppose k - 3 = 3. Let h be d - (-33)\/k*2. What is the highest common factor of 48 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -5, 1, 6, -219, -1, 2.\nAnswer: -219, -5, -1, 1, 2, 6, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.223318 to 1 decimal place.\nAnswer: -136.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122554 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12523 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 45. Let a be x(-16). What is the hundreds digit of -5*106\/(-6)*(-39)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 13580?\nAnswer: 40740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 8*n + 15. Let u be q(3). Suppose -3*p = -u*p - 6. Solve -b = 2*f + f + 9, 0 = -f + p*b - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 4*m**2 + 5\/8*m**4 + 7\/6*m**3 + 0 + 0*m. Is c(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 6. Let c(h) = -7*h - 11. Determine 6*c(z) + 10*m(z).\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 - k - 4. Let s = -9 - -13. Let d = 25 + -11. Calculate the remainder when d is divided by q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + (sqrt(1053)*-3 - sqrt(1053) - sqrt(1053)))**2 - sqrt(1053)) + (6*sqrt(39)\/sqrt(3) - (sqrt(52)\/sqrt(4) - sqrt(13))*-4).\nAnswer: 87*sqrt(13) + 26324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60110850 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:27 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35540, 35440, 35274, 35042?\n\"Answer: -33*d**2 - d + 35574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 2*g - 130. Let v be g\/40 - (-7)\/(-28). Is 0.1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -775 divided by -1035.\nAnswer: 155\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 11. Give y(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 + 6*v + 995. Let x(h) = -11*h**2 - 11*h - 1989. What is 7*i(g) + 4*x(g)?\nAnswer: -2*g**2 - 2*g - 991","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52261 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 3*g + 2*g**2 - 392*g**4 - 1 + 390*g**4 - g**3 + 2*g**3 to w*g**3 + z*g**2 + s + k*g**4 + d*g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 476*x - 3. Is p(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = p + 4, -4*z + 0*z + 16 = 2*p. Suppose 10 = 2*n + 3*y, -5 = n - 4*n - p*y. Let j be 2 + n + -3 + -609998. What is j rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -0.065?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 129. Solve -11*x = -w*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 237*p**2 + 949*p + 143. Determine d(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - n - 1. Let k(h) = h**3 + 2*h**2 + h - 2. Let l be k(-2). Let p be (-2)\/l*(3 + 1). Let f(q) = 2*q - 2*q + 2*q**p. Determine -5*f(b) + 2*z(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 121 = 375*j - 370*j, 0 = 3*o + 4*j + 83 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8024118?\nAnswer: 2, 3, 19, 59, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a factor of 307962427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, 1, 0.2, 6\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06804971 - 407.\nAnswer: -407.06804971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101100001 + 1001?\nAnswer: 111101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0097409677 to 4 decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.12662 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17.4 in 653, -0.3, -4, 1, -2, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.5, 6.8, 191, -0.1, -1\/7?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 3*b)*(b**2 - 5*b**2 - 6*b**2 - b + 2*b**2 + b + (-1 - 2 + 4)*(-b**2 + b**2 + b**2)).\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = -8*k + 422. Let i be (-6)\/(-8) + 14\/(-8). Let a be (-17 + -3)*i\/2. Is a != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 392 and 52024.\nAnswer: 364168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 + 40*s**2 - 2*s - 37. What is the remainder when n(9) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 2 = 0, -11*y + 3097 = 5*b. What is the smallest common multiple of 1353 and b?\nAnswer: 6765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 16. Let f(a) = 2*a + 18. Let z(g) = 5*f(g) + 6*n(g). Let p(k) = k**2 + k. Give 4*p(w) - z(w).\nAnswer: 4*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2023*i**5 - 22508*i**2*x**2 + 5096600*i*x**2 wrt i.\nAnswer: 40460*i**3 - 45016*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(2\/7))\/j*j*j)**(-4\/7)\/(j**(-4)\/j*j**6) assuming j is positive.\nAnswer: j**(-169\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -30. Let r be (-2)\/(-6) - ((-410)\/n - 0). Let w = 74 + r. Which is smaller: 10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8031981 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 9. Let p(l) = -l + 4. Let h = -9 + 4. Let u = 82 + -144. Let r = u + 60. Determine h*p(s) + r*w(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -10 + 94. Find o, given that 9*o + 8*o**2 - 2*o**2 - o - p - 2*o**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/5*3)\/(2356\/(-3534)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42913.1951 + 43005.1950602. Let b = -92 + i. What is b rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (649*q + 317*q + 730*q - 407*q)*(-3*q**3 - q**3 + 2*q**3).\nAnswer: -2578*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 877c (base 16) to base 14\nAnswer: c8d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*36\/144?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 575044, 575036, 575028, 575020, 575012?\nAnswer: 575004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)\/x)\/(x**(-6)*x))\/(x**(-1\/5)*x)**(2\/15) assuming x is positive.\nAnswer: x**(1894\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*u**3*y**3 - 4*u**3*y**2 - 5*u**3*y - 10*u**2*y + 3275*y**3 wrt u?\nAnswer: 396*y**3 - 24*y**2 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 7509, 25348, 60087, 117360?\nAnswer: 202801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -19. Suppose -6 - z = 2*g. Does 5 divide ((-21)\/15*-8)\/((-1)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 5*f - 6. Let h be j(5). Let t = h + -23. Let l be 3\/(-6) - 14\/t. Solve 4*r + l*o - 21 = 0, 7*o = -4*r + 2*o + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 3*b**2 + 5 - 5 with respect to b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, -14, 1, -37, -1\/3, -0.1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 8*j + 5. Let r be k(7). Suppose -4*h = 5*u + r, -4*h - 2*u = -0*u + 150. Calculate the remainder when (h\/54)\/((-2)\/39) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39123.81 kilograms in grams?\nAnswer: 39123810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 46, 5, -1 in descending order.\nAnswer: 46, 5, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30557\/1140 + 134\/5. Let z(g) = 2*g**3 - 30*g**2 + 30*g - 27. Let x be z(14). Is q <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329128.\nAnswer: 2, 17, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/15*(-138)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -37. Suppose 2*x - 6 = 2*s, -36 - 3 = -g*x - 3*s. Suppose 3*l = 3*q - 6*q, -3*q + x = 5*l. Solve 3*c - 2*z - z - 9 = 0, -c - l = z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(350)*-1)\/(1*sqrt(343)))\/((-2*sqrt(70)*5)\/(1*sqrt(1008))).\nAnswer: -36*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*c = 5911, -4*t - c - 1178 = -5*t. Suppose d - 1 = 0, -2*z + 6*z + d = t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19\/60 - -1\/15. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {p: 4, e: 7, k: 1, l: 1, b: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 + 2016578694 - 2016578694.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10137811 - 65*g**2 + 10137811.\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/7 + 181094*d**4\/7 + 26664930*d**3\/7 - 81081334*d**2\/7 + 81443512*d\/7 - 27208200\/7 = 0.\nAnswer: -150, 1, 90694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6032, 6058, 6108, 6188, 6304, 6462, 6668?\n\"Answer: t**3 + 6*t**2 + t + 6024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4 - 4*8\/(-32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21230 is divided by 287.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/54 + 110\/(-18). Let s = 47\/6 + t. Which is the nearest to -1? (a) 0.5 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2272*f = 2162*f + 1540 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + -1 + (sqrt(425) - 3*sqrt(425)) + 0 + 4)*6 + -2)**2.\nAnswer: 960*sqrt(17) + 61264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*((-6)\/5 + (-841)\/(-580)). What is the nearest to -0.1 in -0.1, 98, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -12. Let x be 2\/(2\/(-1 + k)). Let x*b**3 - 3*b**3 + b - b**3 + b**5 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -257312*b**2*p**2 + 22*b*p**2 + 2*p**2 + 16*p + 7 wrt b.\nAnswer: -514624*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 2:14 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 - -2 - 25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*m**3 + 274*m**2 - m - 26931.\nAnswer: 684*m + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/t)**(-19\/4))**(-25) assuming t is positive.\nAnswer: t**(-1425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 4220673*p**2 + 1484508824745*p + 1484504604075 = 0.\nAnswer: -703445, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 140 = -5*m, 4*n - 2*m - 82 = n. Let y be (-4)\/n + (-2796)\/78. What are the prime factors of 5 + -3 + 0 - y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-1*sqrt(99) + sqrt(99))*3) + 0 + ((sqrt(88) - ((sqrt(88) - -1*sqrt(88)*-3) + sqrt(88)))\/(sqrt(40)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -25. Sort 0, -5, z in increasing order.\nAnswer: -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 11\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*s - 3*a - 1, 2*s - 11 = a. Solve 4*d = g - 0 + s, 10 = -5*d - 2*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i - 65 = -32*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -76\/17, 0.8, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 5*t - 12. Let a be g(-7). Let y be ((-40)\/(-10))\/((8\/a)\/(-2)). Let m = 36 + y. List the prime factors of m.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**5\/20 + 13*k**2\/2 + 12*k. Find the first derivative of m(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppprwwhrpplrrwhp. Give prob of sequence hww.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 1, y: 2}. What is prob of sequence hyey?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.056 + 30. Round s to 3 decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -130, -174?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4949 + -4948.68995. Let v = n + -0.31. What is v rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**3 - 4*j**2 - 4*j + 5*j**3 + 9*j**2 + 6. List the prime factors of z(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*t + 4*a, -2*t - 2*a + a + 48 = 0. Let c = -8 + t. What is the lowest common multiple of c and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590695?\nAnswer: 5, 7, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*j**2 - 2*j - 58*j**2 + 2*j - 464*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 6. Let q = -173 + 177. Sort -2, l, q.\nAnswer: l, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*d**2 + 134*d**2 - 275*d**2.\nAnswer: -328*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:42 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 0.5 (c) 3528 (d) -3\/5 (e) 29\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 2*s - 2. Let i be x(-2). Let r be (-2)\/(-7) + (-24)\/i. Suppose -5*q = 2*h + 15, 1 = 2*h + r*q + 7. Is h greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from zyyyzyzzzy.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349924716 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 + 0)\/(2\/(-14)). Suppose -4*k = 5*c - 2356, -208 + 1606 = 3*c + 5*k. Calculate the highest common divisor of c and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, -43, -211, -447, -751?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - ((-60)\/8)\/(-5))*(31 + -31). Suppose 6*b = 10*b - 44. Solve -4*f + b + 5 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.945 times 10\nAnswer: 9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*k - 81*y + 86*y, -7*k + y + 7 = 0. Solve -23*j + 604 - 765 = k for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*l**4*q - 15*l**3*q - 3*l*q - 3765*q wrt l?\nAnswer: -48*l**3*q - 45*l**2*q - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507058848 to the nearest integer?\nAnswer: 22518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1044 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -46390.0482 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579272?\nAnswer: 2, 322409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 0)*(6 + -5). Let p(h) = -2*h - 10. Let z be p(f). Let d be (4 - (-1 + 2)) + -3. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(35\/10) + -1 + 0. Let b(x) = x**3 + 6*x**2 + 4. Calculate the least common multiple of b(-6) and (w\/(-2))\/(2\/(-28)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)\/((-1)\/(-3)). Let a be 2\/4*(-3 + h). Solve -10 + a = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8655 = 6606. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14850403 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6642 is divided by 261?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1302\/(-14)*2\/4)\/(36\/24).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45510 and 45?\nAnswer: 136530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -33 + 85 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*z + 39 = 0, s - 2*z - 29 = -0*s. Let d be 68\/(-11) + 6\/s. Let w(a) be the first derivative of a**3\/3 + 5*a**2\/2 + 1. What is w(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 70\/2213, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18435, -18439, -18443, -18447, -18451?\nAnswer: -18455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2588 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 3*y - 2. Let z be l(-2). Let c(x) = x + 4. Let b be c(-5). Let u be ((-1)\/2)\/(b\/10). Solve z = -i - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1193\/280 + -30\/7. Let g = o - 1\/10. Put 2\/13, -2\/11, g in decreasing order.\nAnswer: 2\/13, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*p + 87*p = -441. Suppose 361 = 2*b + 5*s, 3*b - b - 341 = -s. What is the greatest common factor of b and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3926?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-10) + 2 - (-10 - (-12690)\/1275)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 14*u**2 + 30*u - 30. Let s be g(-16). Suppose 2*c - 5*l = 5*c - 16, 36 = 5*c - l. Let q be 7\/(c\/s) + -3902. Round q to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -685790 and -4114745\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*195\/(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:25 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -84*o**2 - 154*o - 450. Calculate l(-3).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -288 + -a83b3?\nAnswer: -a867b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.01, 0.1, 7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*j = 0, -5*i - j - 14 = 3*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200 + 0?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242151, -484295, -726437, -968577, -1210715, -1452851, -1694985?\nAnswer: -1937117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123700, 123291, 122164, 119959, 116316?\n\"Answer: -60*z**3 + z**2 + 8*z + 123751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7256581 is divided by 256.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*w + 563 = -7970 - 2507 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 3*s**2 + 3*s**2 + (0*s + s + s)*(-s + 0*s + 0*s) - 3*s + 4*s - 7*s**2 - 51 + 52 to y*s + k*s**2 + j and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**4 + 1188*g**3 - 15*g**2 + g - 26111.\nAnswer: 48*g**2 + 7128*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67188 and 583836?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(55) - (sqrt(550)\/sqrt(10) + sqrt(55)))\/sqrt(11) + (4*sqrt(5)*5)**2.\nAnswer: -sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30345 (base 6) to base 13\nAnswer: 1aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 26*b - 58. Let u(x) = 3*x - 4. Let g be u(4). Find r, given that -8*r**3 - 2*r - 16*r**2 + 6*r**b + 10*r - g*r**3 = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 42*b - 194. Calculate v(-4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/280 + i**5\/70 - 3*i**4\/56 + 49*i**2. Let c(l) = 0. Calculate l.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - q - 2*q)*(2 - 2 - 1)*(4 - 4 - 3 + (-2 + 3 - 2)*(-1 + 0 + 4))*(2 - 2 - 2) + (3 - 2 + 1)*(2*q + q - q).\nAnswer: 112*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t + 4*g - 8 = 0, 0 = 2*g. Let q be 15 - (t\/(-1))\/1. Factor q*r**3 - 2*r**3 - 13*r + 5*r - 11*r**2 + 4.\nAnswer: (r - 1)*(3*r + 2)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 568*w - 4005. Give h(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371077771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8121 and 442.\nAnswer: -358.9482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1622 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:30 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 435 + -117?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 44*p - 14. What is z(-23)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*o = 0, 4*g = 2*o - 4*o + 26. Let b be ((-1)\/g)\/(-1)*-1. Let y = 31119 + -31121. Sort y, 2, b in decreasing order.\nAnswer: 2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1554*f. Let u(s) be the first derivative of 2*s**3\/3 - 837. Calculate u(t(g)).\nAnswer: 4829832*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*f + 18*f + 112 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*m - 3*u, -m + 2*m + 13 = 4*u. Let c(i) = 8*i**2 + i + 1. Give c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + -0.01. Let k = 113 + -113. Which is the second smallest value? (a) -2 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5739\/4 + 2\/8. Suppose -4*p + 85 = -3*y - 64, 76 = 2*p - 2*y. Suppose -f = -5*n - p. What is n rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 27*h - 7380 = 0. What is the least common multiple of 30 and h?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**2\/2 - 3*p + 116. Determine c(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7392427.48 - 7392446.77999548. Let o = 19.3 + z. What is o rounded to 7 decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(121)*-1*6 + sqrt(121))\/(sqrt(1584)*1 - sqrt(1584) - sqrt(1584)) + ((-1*sqrt(66) - sqrt(66))\/sqrt(3))\/((sqrt(20)*-1)\/sqrt(10)).\nAnswer: 5 + 29*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v + 5*f, 5*v - 10*v + 48 = -2*f. Calculate the greatest common divisor of 472 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, -2\/27, 222.019, 0.2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1867558 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 4*r - 43. Let v be o(-24). Suppose -6*p + v - 17 = 0. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Let w = -49.2 - -49.1. Which is the nearest to -1? (a) s (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37162 divided by 2186.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 61*p**2 + 932*p - 65. Determine a(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 42. Suppose 11*z - 1369 = 336. Let n = 163 - z. Calculate the lowest common multiple of n and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/4726512 and -15\/64?\nAnswer: 18906048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -2\/7 (b) -2\/5 (c) 5 (d) -363\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1+1143564693\nAnswer: 1143564692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3162, 6397, 9630, 12861, 16090?\nAnswer: 19317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/12 + 7*h**3\/6 - 31*h**2\/2 - 25*h - 18. Let b(z) be the first derivative of r(z). What are the prime factors of b(-13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 22*z**2 - 4. Let r(h) = 21*h**2 - 5. Determine -6*r(s) + 7*x(s).\nAnswer: 28*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, 3, 54 in descending order.\nAnswer: 54, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 64. Calculate the remainder when 26 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1683 - -1688. Sort 52, s, -3, 4.\nAnswer: -3, 4, s, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -46. What is the least common multiple of x and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 16205582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3746651*k + 41213158. Determine r(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -233203031303?\nAnswer: 233203031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -40303 (base 7) to base 14\nAnswer: -37aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 5 + 2*k**2 - 2845*k**3 + 12.\nAnswer: -2845*k**3 + 2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 322152410 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (598\/30 - 22) - 16\/6.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 5 + 34 + (0 - (-8 - 0))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(136) - -1*sqrt(136))*4)\/((sqrt(8) + sqrt(24)\/sqrt(3))*6)*-1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -19394457639\nAnswer: 19394457651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64575497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*z = 43, -4*z + 12 + 8 = 0. Let i = -4 - o. Suppose 0 = -i*m + 5*m + 15. Solve d = -4 + m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -731, -2229, -4481, -7487?\nAnswer: -11247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y. Suppose -10 = -5*j + 2*n, y + 8 = 4*j + 5*n. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6439432 and 513544702?\nAnswer: 2054178808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*z + 7, 32*z - 37*z = -25 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = 75. Let s = -7 - x. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 32. Suppose 5*n = -3*s - 19, 4*s + 3*n = -58 + 51. Solve i*p = s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.93 - 0.07. Let c = -3.464 + 3.264. Let z be (4\/(-6))\/(4\/(-15)). Sort q, z, c in descending order.\nAnswer: z, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 226, 317, 412, 511, 614?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. What is g(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -570012 - 16b?\nAnswer: -570181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4 (c) -0.83 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.339 - -35.661. Let q = -9.6 + -30.4. Let t = q + j. What is the smallest value in 4, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*736.2877\nAnswer: -3681.4385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*r**2 + 5*r**2 + 16*r**5 + 3*r**2 wrt r.\nAnswer: 960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1213373.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 697194 = 70859 + 42577. Round x to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5830, 12318, 18806, 25294, 31782?\n\"Answer: 6488*r - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11715834 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/20)\/((-12)\/5). What is the nearest to -1\/3 in 6\/7, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.68073 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 161*n - 9 = -162*n, 0 = 4*r + 5*n - 73 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -46. Suppose 0*i - i = -2*n - 2, 0 = -k*n + 5. Solve 5*y - i = 4*h + 27, -4*y = -h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 6*q - 15. Suppose q*s = 20*s + 70080000. What is s rounded to the nearest one hundred thousand?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + b + 18, -3*g - 3*b = -5*g + 33. Let w be (-68)\/3*g\/7. Let i = 187 + w. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8 = -5*z, 136*m + 16 = 131*m + z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -2)*(9 + -62) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 1. Let j be r(3). Let o be -2 - (1 + -2 + -11). Suppose j = 3*i - o. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.472 - 0.028. Let w = 85541 + -85541.50027. Let k = u - w. What is k rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from ktkvkwkkvkkkwvktwmmk.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826611779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1064, -1066, -1070, -1082, -1108, -1154, -1226, -1330?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2885*u**3 - 6*u**2 + u - 1. Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-5 + 1 + sqrt(108) + 5*(sqrt(108) + -1 + sqrt(108) - sqrt(108))))**2.\nAnswer: -5832*sqrt(3) + 35721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, h: 8, t: 6, v: 1}. Give prob of sequence wh.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1022 and -35\/230826?\nAnswer: 1615782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*4)\/(4*sqrt(4)*3).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 11*r - 7. Let y = 1082 - 3212\/3. Calculate the common denominator of l(5) and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Let c(a) = 4*a - 15. Let r be c(x). Suppose 9*y - r*y = 280. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 2*n**4 - 2*n**4 + (2*n + n**2 - 2*n)*(-3 - 2*n**2 + 3))*(3*n - 13*n + n).\nAnswer: 27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.279421ms to microseconds.\nAnswer: 1279.421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 57. Which is the biggest value? (a) -4 (b) m (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -y - 20, 48*p = 47*p + 3*y + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54366, 54361, 54352, 54339, 54322, 54301, 54276?\nAnswer: 54247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b - -b?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72919300 divided by -5?\nAnswer: -14583860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -612 divided by 2.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -524?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 7*s**2 + 430*s - 512. What is g(-25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-586)\/(-936)*-1 + (-42)\/(-189). Is 1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:04 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15709?\nAnswer: 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**11\/d*d\/(d*d**(-7\/5)*d) assuming d is positive.\nAnswer: d**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70\/27 - -4744\/1809. Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:37 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/12 - 11*m**3\/6 - 5*m**2 + m - 3. Let k(d) be the first derivative of i(d). Let y be k(-10). Which is bigger: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -175*c + 18. Let o be y(-6). Suppose -4*u + o = -6*u. Let d = u - -1447. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 9. Let l(g) = 3*g + 8. Let a(p) = 3*l(p) + 2*u(p). Let m be a(-4). Suppose 2*r = -m*r - 4. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n**2 + 3*n - 3*n)*(5*n + 0*n - 3*n) + 15*n + 7*n**3 - 15*n)*(3*n**2 - 3*n**2 - 2*n**2).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070 is divided by 344?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*x - 19 + 3, -8 = 2*l - 2*x. Let k(y) be the second derivative of l*y**2 + 1\/20*y**5 + y + 0 - 1\/3*y**4 + 1\/2*y**3. Factor k(w).\nAnswer: w*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100310\/29 + 3460. Find the common denominator of w and 53\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169597.\nAnswer: 181, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 1:32 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78\/14 + (-16)\/28. Solve h*g + 4*w - 25 = 0, -9 = -g + 3*w - 23 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133285.641 and -3.\nAnswer: -399856.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 5:37 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -37*b**2 + 3. Let r be u(-3). Let k = 475 + r. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from gigjgss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 + 73*w**2 - 25*w + 24. Determine t(-18).\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -567504872\/6591 - -86103. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45585 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8568 - 0.1432. What is the second biggest value in n, -20, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 45 + -37 - (-1 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 = -4*s. Let r = s + 5. Suppose -r*w = -4*a - 148, 0 = 3*w + 2*w - 3*a - 232. What is the remainder when w is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4109, -4106, -4093, -4064, -4013, -3934, -3821?\nAnswer: -3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*c + 4*o, -23 = -178*c + 173*c + 4*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((1\/(-150))\/(12\/(-48)))\/(24\/(-530)) and -74\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 + 1. Let t(m) = -3*m**2 + 2*m + m**3 - 6*m + 0 + 2. Let p be t(4). Which is the third smallest value? (a) -1 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*c - 1558, -c = -3*n + 1928 + 417. Calculate the greatest common factor of n and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 9*n - 2*n - 5*n + 10 + 0*n. Give g(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*v - 2*d + 300, 2*d = -6. Let i = 275 + v. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**6 + 3*x**5 + 49*x**4 + 26169*x**2 wrt x?\nAnswer: -600*x**3 + 180*x**2 + 1176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 97440 and -65291.\nAnswer: 32149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 7*u**3\/6 - 2*u**2 + u. Let c(w) = -w + 1. Let i(q) = q - 1. Let h(o) = c(o) + 2*i(o). Determine -b(l) + 4*h(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4797475l?\nAnswer: 479.7475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 412\/3*z + 212 + 15*z**2 - 1\/3*z**3 = 0. What is z?\nAnswer: -6, -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 = 6. Suppose -u*s - 2*o = -10*s + 546, 537 = 2*s + o. What is the highest common divisor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 448 and 0.3.\nAnswer: 448.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16913 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-2\/15)\/(l**(2\/5))**(-44)*l**(-5)*l**(-1)*l*l\/(l**(-4\/9)\/l)*l**(3\/4)\/l*l assuming l is positive.\nAnswer: l**(2819\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -430, -1, -2, 4 in decreasing order.\nAnswer: 4, -1, -2, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4 + 58*f**3 - 35948*f**2 - 66787009*f wrt f?\nAnswer: 12*f**2 + 348*f - 71896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c**2 + 228 - 228. Let b = -20 + 26. Let f(a) = 8*a - 5. Let h(x) = -9*x + 6. Let v(n) = b*f(n) + 5*h(n). Determine v(r(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Let s be l + -2 + 4 - 0. Let p be 1\/(1*s\/4). Solve -4*m + 3*b - 9 = 0, -p*m - 2*b + 8 - 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 6*y**2 - 3*y - 5. Let x be f(-3). Suppose x*l = 16, -2*r + 4*l + 68 + 126 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 43852.3848s?\nAnswer: 0.07250725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:12 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(56) - 1*sqrt(56)) + sqrt(56) + sqrt(14)*-2*-1)\/(sqrt(63)\/(-2*sqrt(81))).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139317, 2, 5.\nAnswer: -139317, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wcgcmcmcwwccmwcw.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305081, 610118, 915155?\nAnswer: 1220192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4, -88 in descending order.\nAnswer: -3, -4, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1093399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(78\/16)*(-9)\/12*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99*g**3 - 201*g**2?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -469 + 471. Put -2\/7, 1, -166, p in increasing order.\nAnswer: -166, -2\/7, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/167365 and -67\/76075?\nAnswer: 836825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/108*(-10797)\/(-9821) and -48\/805.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8532014 + 214*j**3 + 8532014.\nAnswer: 214*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(-t**3 - 1 + 1) - t + t + t**3 + 5*t**3 + 8*t - 8*t + (-2*t**2 - 4*t**2 + 0*t**2)*(2 + t + 0 + t).\nAnswer: -9*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -256, -224, -158, -46, 124?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*-1*((sqrt(882) - sqrt(882)*-1 - sqrt(882)) + sqrt(18)))\/(6*-4*1*sqrt(726)).\nAnswer: -3 - 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0127002 rounded to five dps?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-20)\/(-65)*(-1)\/(-2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1035 - 2099 - 2650*d**2 + 1064.\nAnswer: -2650*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99079, 98647, 97917, 96883, 95539?\n\"Answer: -k**3 - 143*k**2 + 4*k + 99219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3042 and -5.\nAnswer: -3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/26304 and -59\/79734.\nAnswer: 2551488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/207 and 34\/6785?\nAnswer: 61065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewe when three letters picked without replacement from wwwwwwwwwwwwwwwwee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/18 and -133\/3504.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + w**2 + (5 - 2 - 2)*(1 + 2 - 5)*(-102 - 512 - 619)*(-2*w**2 + 4*w**2 - w**2) to the form o*w**2 + c*w + q and give o.\nAnswer: 2467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 80 + 160*n**2 - 80.\nAnswer: 160*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 15885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(sqrt(39) - sqrt(390)\/(sqrt(10)*2)))\/(-6*((sqrt(192) - 3*sqrt(192) - sqrt(192)) + sqrt(192)))*4.\nAnswer: -5*sqrt(13)\/48 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*z**2 + 257*z**2 + z**3 - 12*z + 117*z**2 to the form t + p*z**3 + q*z**2 + j*z and give q.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 76 = -2*q. Suppose 0*y + q = 2*y. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwt when three letters picked without replacement from zzwzwqt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.64252595 rounded to 1 dp?\nAnswer: -34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 114850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(162\/1620)\/((-2)\/84).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1052008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(304) + (sqrt(304) - (sqrt(304) - (sqrt(304) - ((sqrt(304) - -1*sqrt(304))*3 - sqrt(304)))**2)).\nAnswer: -16*sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 0.04.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 1560253760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 2*y**2 + 2*y - 3. Let g = 3860\/183 - -35\/61. What is the common denominator of g and p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o + 2. Suppose -3*q + 15 = o*q. Let f(v) = -v + 3. Let n be f(q). Solve 3*z - 2*g + 4*g - 10 = n, -3*z + 14 = -2*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + 0.0836644311\nAnswer: 0.1136644311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -47) + -4 + (-14 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o - 40. Let v = -10 - o. Let r be (-464)\/(248\/(-125) - v). What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2269 + 24 = 3*s, 756 = s + 3*k. Let g = s + -256. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 3 - 2\/2. Let l(u) be the first derivative of u**2\/2 - 2*u + 227. What is l(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*k + k**2 + 0*k**3 - 1\/3*k**4.\nAnswer: -k*(k - 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 + 4*q - 1. What is s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*v - 38*v - 78*v - 42*v in the form n + a*v and give a.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174795, 174793, 174791?\n\"Answer: -2*i + 174797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -772362 divided by 2\nAnswer: -386181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 9. Let r be f(-7). Let h(a) be the third derivative of 1\/6*a**3 + 0 + 0*a + 1\/24*a**4 + 2*a**2. Calculate h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/6 - 342*t**4 - 1040243*t**3\/6 + 2134460*t**2 + 2183712*t - 63901440 = 0. What is t?\nAnswer: -1032, -5, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/60 + 3*x**4\/8 + 2*x**3 + 25*x**2. Let d be v(-9). Is 3*4748\/d + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035521 rounded to six dps?\nAnswer: -0.000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 3*p - p)*(-1 + 3 - 4) - 42*p + 70 - 70 to the form f*p + x and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 35 = 5*v - 0*u, 0 = -v - 3*u + 15. What is the second derivative of 3*y - 3*y - 3*y - 4*y**v + y**3 wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/120 - y**5\/30 - y**4\/6 - y**3\/6 + 2*y**2. Let t be p(3). Which is the closest to -3? (a) t (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 15, -17*o + 22*o - 4*y - 202499980 = 0. What is o rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47270)\/5705*2*(-14)\/8\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 36 + 2 - (167 + -173).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655843.\nAnswer: 3, 857, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*2\/(-2888)*-2. Let h = k - -16627\/5054. Let m = 6657\/5 - 1342. Calculate the common denominator of h and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/55 - 266\/165. Which is the closest to 7? (a) 1 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-10 + 16 - 35).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 38701.2 and -135.\nAnswer: 38566.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -1\/4*w**4 + 1 + 0*w - 1\/3*w**3 + 0*w**2. Find the third derivative of y(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1468901?\nAnswer: -1468901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 10, -7, 1.\nAnswer: -17, -7, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {i: 3, a: 2, t: 6, z: 2, b: 2, e: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(1 - 2*(-20)\/(-80))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*r = -3*p + 95, 0 = 3*r + 9. Suppose 3*x - 2*x = 5. Suppose 20 = x*f - 780. What is the greatest common factor of p and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 2*b**2 + b. Let i(m) be the second derivative of 0*m**2 + 0 + 1\/12*m**4 - 2*m + 0*m**3. Give i(o(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o - 4*o - 3*o - 4*o**2 to the form w*o**2 + t + f*o and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 14*t**3 - 4\/15*t**5 - t - 23*t**2 + 83\/6*t**4 + 0. Find z such that q(z) = 0.\nAnswer: -1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10933 is divided by 590.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/8 - p**3\/3 + 2*p**2. What is the derivative of n(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 1 - 17 = 0. Suppose 4*w + 8 = 3*n - u, 3*n - 55 = -5*w. Solve -n = -t - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/45*5*-4*(-6)\/72?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -0.3316 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 + 10*s - 9. Let t be v(-6). Let k = -2011\/11 + t. Which is the fourth smallest value? (a) 1 (b) -0.4 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 435, 4, 3, -4, 5 in increasing order.\nAnswer: -4, 3, 4, 5, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - 249.4. Let c = d - -276. Round c to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-17)*1163\/8141?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + ((2 + sqrt(720)*-1)*4 - (1 + sqrt(720) + -3 + 1*(sqrt(720) - (sqrt(720) - (sqrt(720) + 0 + sqrt(720))) - sqrt(720) - sqrt(720))))))**2*1.\nAnswer: -11880*sqrt(5) + 163089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 1. Is 18*b\/(-45)*5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/13)*n)\/(n\/(n**(-3)*n)))**(-12\/11) assuming n is positive.\nAnswer: n**(336\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 9*j**2 + 9*j - 12. Let v be a(8). Let o = -4 - v. Is 13 - ((-1 - o) + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1617*x + 619*x - 3144*x)*(1 - 5 + 2).\nAnswer: 8284*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y = -4*i - 2, 2*i = -3*y - 16. Let h(d) = -8 - 6*d + 4*d - 18*d - 19*d. Is h(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -755, -2095, -3415, -4709, -5971, -7195, -8375, -9505?\nAnswer: -10579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 231*w + 715. Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3891, 3931, 4017, 4173, 4423?\nAnswer: 4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q + 421. Suppose -9 = -2*a - c + 61, -5*a = -3*c - 186. Calculate the remainder when x(44) is divided by a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -1034.9?\nAnswer: -1034.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*((3 - 2 - 3)*(t + t**3 - t) + (-2 - t**2 + 2)*(2*t + t - 5*t) + t**3 - t + t)*(6*t - 17*t - 8*t).\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/6*(-66)\/(-5). Let f = u + 173\/4. Which is the second smallest value? (a) -2\/7 (b) -5 (c) f (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 67 = 4*z. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 2*x**2 + 3*x**2 + 4*x**4)*(1 + 0 + 2).\nAnswer: 6*x**4 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24033*i**3 + 59*i**2 + 247526*i + 20?\nAnswer: 144198*i + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 534381488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297502404?\nAnswer: 2, 3, 211, 117497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 3*z + 84. Let u be (-4)\/4 + 1*20. Suppose -4*i + u + z = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + 57. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 - 2 + 75324*w + 5.\nAnswer: 75324*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2200311 + -2?\nAnswer: 2200304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -55 + -1 - (-863346)\/15450\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 27*l**2 - 125*l + 33. Let u be i(31). Suppose -7*a = -5*a - 5*b - 270, -u*b = 2*a - 298. What is the greatest common divisor of a and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 131*z**6\/120 - z**5\/60 - z**4\/12 - z**3\/3 - 4*z**2. Let r be b(-2). Round r to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/120 - s**5\/12 - s**4\/12 - s**3 - 78*s**2. Determine n(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 - x. Let v(r) = -9*r**2 - 2*r + 1. Let g be (2 + 2 - 3)*-13. Determine g*d(f) + 6*v(f).\nAnswer: -2*f**2 + f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 - 7*f - 5. Let t be (-28)\/12 - (-8)\/(-12). Let g be 3 + (-3)\/t - 2 - 8. Calculate a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-288)\/96 + (5329 + 2 - 1)?\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 126*a - 126*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 260?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-10)\/(-5))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdodaadaodddaaaxddx. What is prob of sequence dd?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 753 divide 2466747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1188, -2315, -3442, -4569?\nAnswer: -5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/14)\/(210\/(-588))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33210 + -2112?\nAnswer: 31043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 142, 134, 122, 106, 86?\n\"Answer: -2*w**2 - 2*w + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2338*u**2 + 2332*u**2 - 6042*u**2 + 1368*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 13*h**2 - 12*h + 4. Let g be k(12). Suppose 0 = 5*a - g*a + 1. Let c(z) = -26*z - 1. Let p be c(a). Solve -4*x = x + p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/31673 and 39\/721259.\nAnswer: 1202338753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 26*w - 45 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 12, x: 5, i: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4824*o + 437. Is u(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7521 divided by -3?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6206568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 52*i - 150. Give p(15).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -48*y**2 - 27*y - 27. Let t(q) = -7*q**2 - 4*q - 4. Suppose 82 = 4*g + j - 27, -g + j = -26. Calculate g*t(x) - 4*n(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -509817, -1019638, -1529459, -2039280, -2549101?\n\"Answer: -509821*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.4 + 12.4. Let g be (6\/5)\/((-15)\/90). Let v = 221\/30 + g. Which is the nearest to d? (a) -0.1 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -40, 0.5, 166, 182, 0.3?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.788 - 0.212. Which is the closest to 2? (a) -5 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 + 0 = 3*n, -3 = -f - 3*n. Suppose 442 - 2 = 4*h - 4*j, -h + f*j = -106. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -69, -144, -249?\n\"Answer: -15*y**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -59. Suppose q*i + 4*i = 100. Suppose -o = -i - 7. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218305788 to the power of 1\/2, to the nearest integer?\nAnswer: 14775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13\/5, -0.04, -2\/13, 0?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/192 or 7238?\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*k - 224, -4*m + 221 = -3*k - 2*k. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10985160 by 310.\nAnswer: -35436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4907076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(704))*-2)**2.\nAnswer: -256*sqrt(11) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:48 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 474.21?\nAnswer: 4742.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12969*f - 129699. Determine q(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-3 + (-5)\/(-2)). Let c(d) = -6 + m + 3 + 3*d - 4*d. Let l(y) = -4*y - 3. What is 6*c(x) - 2*l(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-14)\/(-21)). Let r = -3 + 15. Let p = r - 11. Which is the third smallest value? (a) p (b) n (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + 4*a**2 - 4*a + 3. Suppose 10 = 2*v + 3*v. Let m be z(v). Let x be ((-3)\/2)\/((-54)\/24). What is the nearest to m in x, 2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x + 3900 = -29*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26004 + 26007. Which is the fifth smallest value? (a) 0.1 (b) t (c) -0.3 (d) -0.03 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a - 1047 - 565 = -44*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-39)\/(7722\/(-88)))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 498, 1156, 2078?\nAnswer: 3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 3. Calculate the least common multiple of v(6) and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 2, e: 3, t: 3, y: 2, i: 4}. What is prob of picking 1 i and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 83.2521\nAnswer: 82.9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120273*r = -119582*r + 51134 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63195 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - (-147)\/(-735). Suppose -3*l + 2*l = -31. Let d = l - 219\/7. What is the closest to 0.4 in d, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -360 + 359. Let c(y) = y**3 + y + 3. Let n be c(0). Suppose 2 = g - n. Put r, g, -5 in decreasing order.\nAnswer: g, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33249 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 117 = -26*m. What is the first derivative of -y - y - 41 + m*y**4 + 11*y**4 + 17*y**4 wrt y?\nAnswer: 128*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)\/(l*l\/(l**13\/l*l*l))*l\/(l*l**22\/l)*l\/l**(-14) assuming l is positive.\nAnswer: l**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5189129 - -5189117.49999875. Let s = 1.5 + 10. Let i = s + z. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5574485.2 to the nearest 10000.\nAnswer: 5570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*-1*sqrt(17) + sqrt(17) + sqrt(1377)*1)**2 + (1 + -3*(-1*sqrt(17) - sqrt(17))*-5)**2.\nAnswer: -86*sqrt(17) + 18175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36926*w = 36824*w - 2550 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153742432 and 3584.7?\nAnswer: 153738847.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 144 + -3 + (29 - 22). What is the greatest common factor of s and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*p**2 + 3*c + 7860*p**5 + 61*p - 6 wrt p.\nAnswer: 2*c + 157200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139, -145, -163, -199, -259?\n\"Answer: -x**3 + x - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26562 divided by 5\nAnswer: 26562\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {a: 5, c: 1, i: 1, j: 1, u: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 4*n + 4. Let a be s(-3). Let h(j) = -j - 1 + 6 + 0*j - a. Let c be h(4). Solve c = 2*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 5 = 2*s, -2*i = 2*s - 8. Suppose i*f + 41 = 4*c, -3*f + 5*c = f + 53. Let y(u) = 14*u**2 + u. Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -19*f**3 - 163*f**2 - 285*f + 62. Give q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101470 at least 2101470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -9. Let b(f) = -f**2 - 16*f + 0*f**u + 12 + 3*f + 8*f. What is the least common multiple of 1 and b(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 211714?\nAnswer: 211707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 - 60*k + 2. Let g be l(12). Suppose -35 = -4*d + 3*f, d - 15 = -2*f + g. What is the remainder when 21 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 2*x - 1. Let k be w(-1). Let h be (-3)\/12 + k\/(-8). What is the derivative of 4*i**2 + 6 - 5 + h*i**2 wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*n + 22, 4*f = -0*f + 5*n - 45. Let y = 16 + f. What is the greatest common factor of y and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 16. Suppose -b = 5*k - 4. Let x(v) = -67*v. Is x(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3*y**3 + x**3*y + 7*x**3 - 2254*y**3 + 353*y wrt y.\nAnswer: -12*x**3*y - 13524*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8179637.\nAnswer: 197, 41521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {y: 3, z: 1, f: 3, h: 5, o: 1, i: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -173.43 and -827725.\nAnswer: -827898.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4*y**2 - 5*g**4 + 2*g**2*y + 112*g*y**2 + g*y - 2*g + y**2 wrt g?\nAnswer: -12*g**2*y**2 - 60*g**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lla when three letters picked without replacement from {k: 1, z: 1, l: 2, n: 1, a: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*v + 224*v + 42 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31090 = -1150*p - 1754*p + 179194 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.8 - 23. Let z = v - 25.8. Let y = -3.7 - -4. Which is the nearest to z? (a) 5\/4 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 6*b**2 - 48*b - 96.\nAnswer: 3*(b - 4)*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 3*s - 4. Let f be y(4). Let p = 46 - f. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*x**3 + 127578*x**2 + 46380*x + 4216 = 0.\nAnswer: -1054, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/4, 5\/2, -2\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 27. Suppose 4*u + 101 - 113 = 0. Calculate the greatest common factor of g and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/12 + f**3\/2 - 5*f**2\/2 - 3*f. Let w be l(-5). Let k = 318 + -311. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 16. Let n(w) = w. Let f(i) = 4*i - 3. Let t be 1*3*(8 - 7). Let q(s) = t*n(s) - f(s). What is q(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(0*r - 3*r + r)*(0 + 2 - 5) + 358*r + 265*r - 763*r to the form p + j*r and give j.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17) - sqrt(612))**2 - ((-2 + sqrt(17))*-2 - sqrt(17))) + 6*sqrt(425)*2 + 3 + sqrt(425) + -1 + sqrt(425).\nAnswer: 73*sqrt(17) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 7*o**5\/60 - 5*o**4\/12 + 8*o**2. Let p(v) = 6*v**2 - 9*v. Let b(j) = -3*d(j) + 4*p(j). Factor b(l).\nAnswer: 3*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4703955.6 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -14.1, 33, -3, -13 in ascending order.\nAnswer: -14.1, -13, -3, -0.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2535, 2498, 2441, 2346, 2195, 1970, 1653?\n\"Answer: -3*w**3 + 8*w**2 - 40*w + 2570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 6*j - 184. List the prime factors of (-15)\/j + 3570\/8.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by -208.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*2*3\/(-27)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (135\/6)\/1 - (-22)\/(-44). Let x(d) = -8*d - 211. Let y be x(c). Which is smaller: y or -385?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -285*f. Let p be w(-1). Suppose -2*u + 2*v = v - 186, 0 = 3*u - 3*v - p. Let s = 42 + -19. Calculate the remainder when u is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.12, 14\/347, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3978 and 27?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-9)\/90).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (891\/(-6))\/(-27)*(-6)\/9.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -177.9 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 - -195. Is b a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 12.\nAnswer: -9, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1985, 15947, 53861, 127703, 249449, 431075, 684557, 1021871?\nAnswer: 1454993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - s + 9 = 0, 61*s = 58*s + 3. Solve -4*a - 4*v - 133 = -121, -16 = -3*a + b*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762121181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.476 times -0.8?\nAnswer: 96.3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144682109\/414 + -349474. Find the common denominator of n and 67\/4.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90452, 180917, 271396, 361889, 452396, 542917?\n\"Answer: 7*d**2 + 90444*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6 and (4\/(-14))\/((-36)\/1449).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t)*(t - 182 - 150 + 4*t**2 + 313).\nAnswer: 4*t**3 + t**2 - 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d = -4*y + 89*d + 5, 4*y - 2*d = -10. Solve y = 3*u - 17 + 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -0.2, -0.4, 119, -5, 11?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -7128.\nAnswer: 1\/3564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939, 7847, 26643, 63279, 123707, 213879, 339747?\nAnswer: 507263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203 - 41?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1815.624 kilometers?\nAnswer: 1815624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 56*j + 20. Let m be w(0). Let b(o) = -5*o + 109. What is b(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5436.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-21) + (-4)\/(-6). Let x = 3542 - 3541.88. Put d, 4, x in decreasing order.\nAnswer: 4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 less than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 179.096 and 412963.\nAnswer: 413142.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62 + 8 + -43 + 38\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(1539))**2*1 - sqrt(1539))*3.\nAnswer: -81*sqrt(19) + 4623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -245461.\nAnswer: -245460.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.4. Let p = -1\/2900 - -11603\/8700. Sort p, i, 5, 0.5 in descending order.\nAnswer: 5, p, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2643258, 10573021, 23789286, 42292053?\n\"Answer: 2643251*m**2 + 10*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/2 - 1823*v**3\/4 + 423949*v**2\/4 - 3872737*v\/4 + 1830609\/4 = 0. What is v?\nAnswer: 1\/2, 9, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 23*s - 17. Let r be u(-13). Let f = r + 182. What is the common denominator of 143\/12 and (f\/(-16))\/((-11)\/22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*f = -518*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107064)\/4461*(-7)\/(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.26 + 10.23. What is the third smallest value in 2\/17, q, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6249 = a, 0*p + 3*p + 2*a - 9384 = 0. Let x = 815888\/261 - p. Is x greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -29*v**7\/210 - 43*v**3\/6 - v**2. What is the first derivative of u(q) wrt q?\nAnswer: -116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 66.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 + 17*h**2 - 21*h\/2 - 198.\nAnswer: -(h - 33)*(h - 4)*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 35*z = -4*b - 24, 0 = 3*z - b + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 68 = 2*j, 3*j - 126 = 5*w. Let v = 31 - j. Is v equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*t + 666*t - 969*t - 1048*t.\nAnswer: -2065*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 + -360. Let g(z) = z + 4. What is g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126881 + -38922. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x - 4. Let v = -4 - -7. Suppose 1 = -2*h - 2*m + 3, h - v*m + 11 = 0. Let y be 2\/h - -2 - -3. Calculate o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/37 (b) 0.4 (c) 1 (d) 1\/8 (e) 37 (f) -0.0514\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, y: 7, f: 1}. What is prob of picking 2 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:42 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636.895 plus 0.2?\nAnswer: 5637.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/19 or -3?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 7.475 (c) 4 (d) -1 (e) -0.3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*o = 6*t - 5, 3*t - 5*o = 3. Suppose -5*h + 9 + t = 0. Let d be ((-13)\/26)\/(2\/(-12)). Solve h*w + 3 = -d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*s - 211*s - 52 = 0. Solve -4 = -s*d - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 18*s**2 + 6*s + 73. Is o(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4 + 1679\/(-276) and -77\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r. Let x(b) be the first derivative of 80*b**2 + 20*b - 3. Let z(u) = -23*u - 3. Let t(j) = 3*x(j) + 20*z(j). What is s(t(k))?\nAnswer: -140*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344 - 221. Calculate the remainder when t is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let l(h) = -4252740*h. Determine g(l(p)).\nAnswer: 4252740*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**2 + 6*k**2 + 3 - 2. Let v be t(-1). Let n = 5 + v. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2626*y - 84035. Determine j(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -77, 1136, -1, 1, 5 in ascending order.\nAnswer: -77, -5, -1, 1, 5, 1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*i + 3*i - 19 = 0, -g = -4*i + 8. Let w = 2 + g. Determine c, given that c**3 - 7*c**3 + 3*c**3 - 3*c**5 - w*c**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 12*q**2 + 9*q + 14. Let l be b(11). Let c = l - -8. Let s = -4 - -3. What is the nearest to c in -0.5, -5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 8 = 144. Solve 4*q + 4 - 28 = 4*p, 0 = -q - p + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5 - 3. Differentiate -5*u**o + u**2 + 2 - 4*u**2 + 9*u**2 with respect to u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20501 is divided by 2275.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - (-40)\/7. Suppose 88*r + 109*r - 576 = 5*r. Solve 8 = -2*n + 4*b, n + 1 + h = r*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71969, 71912, 71855, 71798, 71741?\n\"Answer: -57*h + 72026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 3*g. Let a be v(3). Suppose a*c = 2*c + 102. What is the units digit of (2 + 1)*c\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v = 2*v - 480 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 79.97. Let w = -0.03 - j. Let x be (2*(-2)\/(-14))\/(-2). What is the second smallest value in w, x, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -1\/7 (c) 3\/8 (d) -966 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 377*0.2\nAnswer: 75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:14 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.7 (c) -9 (d) -4.8 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3083, -3084, -3085, -3086, -3087, -3088?\n\"Answer: -o - 3082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upmwpwwpmmppwpwm. What is prob of sequence wp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 6. Let s(b) = -b**2 - b + 1. Suppose 21 = -z + 6*y - y, -3*y = z - 3. Let d(p) = z*s(p) - j(p). Let k = -1 - 5. Determine d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -200*h**2 - h - 2. Let a be j(-2). Let f = a + 1567. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 0*s**3 + 0*s**3 - 13*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = y - 315. Let b(i) = -77*i. Let q(l) be the third derivative of -l**4\/6 + 58*l**2. Give y*b(a) - 56*q(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 8, -3*h = -2*h - 2*q - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25542 (base 6) in base 2?\nAnswer: 111100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -426941*z**4 + 448*z**2 + 163*z wrt z.\nAnswer: -10246584*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**5 + c**4 - 13*c**3 - 6*c**2 + 17*c + 5. Let d(g) = -6*g**3 - 3*g**2 + 9*g + 3. Let l(h) = 5*d(h) - 3*z(h). Determine y, given that l(y) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1 + d + 6*d - 8*d. Let v(s) = 2*s + 4. Let w(g) = -4*h(g) - v(g). Let j(z) = 4*z**2 + 0*z**2 + 0*z**2. What is w(j(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 2941?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6715 and 96065.\nAnswer: 129015295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/(-128) + 2842\/(-40). Let w be (350\/(-15))\/(1\/(-3)). Let j = w + g. What is the nearest to -1\/2 in -3, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 12232?\nAnswer: 110088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395125038 divided by 44814.\nAnswer: -8817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 + 60239746*g**2 - 36027679*g wrt g.\nAnswer: 6*g + 120479492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 101151250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 76 = 92. Suppose -5*v + 3*v = -s. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*l + 36, 5*q + 10 + 10 = 0. Let f = 7 + 7. Suppose -l*o + f = -2*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*c - 5*c - 15, 4 = -4*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(2) - (sqrt(108) - (sqrt(108) + -1))) + sqrt(27)\/(-1*sqrt(9)*-3) + -4)**2*-6.\nAnswer: -488 + 260*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 2, m: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 6*z + 2*z)*(-129 + 64*z + 129) to the form v*z + h + w*z**2 and give w.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**2 - 5*q. Let g(s) = 0*s - 2*s + 6*s**2 - 2*s + 0*s. Let u(r) = -5*g(r) + 4*n(r). Let l(d) = d**2. Calculate u(l(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 1640*h - 68383. Determine b(-42).\nAnswer: -1267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12 = -4*m, 38*m + 46*m - 82*m = 5*b + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose c + u*c - 25 = 0, -4*r = -c - 11. Solve -5 + 1 = -r*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -39. Let l = -343 - -348. What is the closest to b in -2, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 6*h - 6. Let i = 3671 + -3665. Let r(z) = 10*z**2 - 55*z - 55. Give i*r(u) - 55*l(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/6*-9*(-18)\/(-63). Let v be ((-10)\/y)\/(60\/(-18)). Which is the closest to 6? (a) 5 (b) v (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30260 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 31115d?\nAnswer: 31116d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 159 in 2, 3\/2, -0.4, 14906?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9426 - 3683. List the prime factors of d.\nAnswer: 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)*1.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86 times 2.5?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*f + 5*j, -j = f - 0*j - 9. Suppose y - 4*r = -66, f*y + 330 = -2*r + r. Let h be ((y*1)\/(-3))\/2. Solve h - 5 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let n be (r\/4)\/(2\/16). Suppose 2*p + 0 = n. Solve 2*b + p = -0*z - z, -4*z = b + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 - (((-119)\/42)\/(-17))\/((-1 - -18)\/(-102))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -272037*p**2 + 138063.\nAnswer: -544074*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -212062 (base 14) to base 4\nAnswer: -10101112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59435231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*q - 72, -2*q - 50 = 2*l - 134. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 19 + 0*d + 7 + 13. Suppose -5*h + 4*h = -4*t, 0 = 4*h - 4*t + 12. Give s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95.915673 - -0.001673. Let w = 41 - 137. Let s = w - o. Round s to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 20*c = 12 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, t: 3, v: 1, o: 4}. What is prob of picking 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w = 22*w + 1720. Suppose -2*o + 7*o + 3*k - 328 = 0, 3*o - 188 = -4*k. Let i = o - w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17824 and 96032?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001219849507 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/30 - p**5\/60 + p**4\/24 - p**3\/6 - 9*p**2. What are the prime factors of d(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1002554 + -1301?\nAnswer: 1001253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -46 - (2 - -7 - 8) - (-511 + 509).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140630016 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031889581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p*p**10*p*p assuming p is positive.\nAnswer: p**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*i - i + 3, -9 = -j - i. Let u(w) be the first derivative of 1\/8*w**2 + 1 + 0*w - 1\/6*w**3 + 0*w**4 + 1\/10*w**j - 1\/24*w**6. Factor u(c).\nAnswer: -c*(c - 1)**3*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 * 11\nAnswer: 4.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4))**(-33))**(-45) assuming p is positive.\nAnswer: p**(4455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {a: 2, q: 3, b: 1, v: 6}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-745)\/(-125) - 6)*10845\/241.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -119*z - 26*z - 24*z + 165*z. Let g(t) = -1229*t. Determine g(b(v)).\nAnswer: 4916*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjrcvpvu. What is prob of picking 1 u and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.1 - -1.1. What is the nearest to -2\/9 in b, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 103*q - 2173, 0 = 3*q + 1406*z - 1409*z - 78 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 563 + 1249 = 2*f, 3*a = 2*f - 1796. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17832*o + 180187. Determine q(-10).\nAnswer: 1867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:18 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(3 - 5) + 22. What is the greatest common factor of 42 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 12) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 12. Let x be j(-10). Let k(h) = 7*h**2 - 9*h - h**3 + 3*h**x + 4 + 0. Let s be k(9). Solve s*o = -0*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024245655 rounded to 5 decimal places?\nAnswer: 0.02425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-2)\/6). Let y be -1 - (z + -3) - 1. Suppose y = -v + 5*v. Let b(r) = r**2 + 3. Determine b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*(-2)\/(-2). Suppose -3*x + 4*q = -y, q = x - q - 1. Let a = -325 + 328. Sort a, -4, x.\nAnswer: -4, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001013 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 4 + 4)*(3*o**2 + o**2 - 6*o**2)*(46*o - 2689 + 2689).\nAnswer: 92*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -220, -113, 3 in descending order.\nAnswer: 3, 0, -5, -113, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107108553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 825, 2, -385, 119 in decreasing order.\nAnswer: 825, 119, 2, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -47 + 12 + 17 - -1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 115. Let a = 1.1 - n. What is the closest to 1 in 4, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 - 88*s - 320 = 0. What is s?\nAnswer: -40, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77139258 is divided by 2298?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*p - 34 = 0, 3*o - 32 = 2*p - p. Let l = 13 - o. Suppose -29 = -l*a - 5*f + 14, 5*a - 79 = -f. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 1 = 3*v, -211*v + 209*v = -455*q + 4544 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/8)*w\/(((w*w\/(w*w**(-1\/13)*w))\/w)\/w)*w assuming w is positive.\nAnswer: w**(369\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, k: 3, i: 3, e: 2, a: 1, g: 1}. What is prob of sequence akii?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*b - 12*z + 7*z, 0 = -4*b + 2*z + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08215019 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0558 - -0.05580267. What is c rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (0 + 0 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 2 + sqrt(1100) + sqrt(1100)) - (2 + (sqrt(1100) - ((-1 + sqrt(1100))*2)**2)).\nAnswer: 30*sqrt(11) + 4444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -0.09.\nAnswer: -8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttjtvwvjwgttwvtnvvv. What is prob of sequence wjt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -47. Suppose 4 = -2*m, 5*f + r*m + 5 - 15 = 0. Let i = -5 + 1. Sort i, -3, f in decreasing order.\nAnswer: f, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19526 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -545*j**3 - j**2 - 124189*j wrt j?\nAnswer: -3270*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2\/6 + (-672)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -544*b + 97. Let q(z) = -1087*z + 210. Calculate -13*l(i) + 6*q(i).\nAnswer: 550*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(450) + 2*sqrt(450) + 3 - -2*2*sqrt(450) - (sqrt(450) + sqrt(450)*2 + 5 + -2)))**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.961 - -121.049. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let x(g) = -8*g + 8. Let o(r) = -32*r + 32. Suppose -6*m + 2*m + 36 = 0. Let v(f) = m*x(f) - 2*o(f). What is 6*p(b) - v(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 - 201 = 0. Let w be u\/(-21) + 2 - (-17)\/7. Solve 9\/5*h**3 + 6*h**w + 3\/5*h - 18\/5 = 0 for h.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 5*l. Suppose l = r - 31 - 19. Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -40*p + 220*p + 133*p**2 - 494*p**3 - 108*p + 61*p. Let f(b) = -15*b**3 + 4*b**2 + 4*b. What is 133*f(o) - 4*g(o)?\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*5\/(20\/16). Let l(b) be the third derivative of -b**6\/120 + b**5\/15 - b**4\/8 + b**3\/2 + b**2. Calculate l(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u*u**2*u)**(2\/23))**(-29) assuming u is positive.\nAnswer: u**(-348\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.028, -0.1, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71\/105 - -10\/21. Suppose 3*p + 18 = 0, 3*g + 1231*p - 1235*p - 9 = 0. Let s = -0.1 - -0.1. What is the biggest value in s, v, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*l - 12 - 4, 0 = -2*p - 3*l + 21. Let v(y) = -y + 4. Let m be v(p). Let k be 1\/m - (-102)\/48. Solve 3*f + 4 = -0*u + u, -2*u + 4*f = -k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 - 12 = 0. Suppose -3*w - 10*w = 50 - 37. Which is the nearest to w? (a) -0.1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 67*m**2 + 15*m - 197. What is the thousands digit of u(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*y - 1270 = 210 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(228)\/((sqrt(72)*-2)\/sqrt(6))) + (-1*sqrt(1539)*3)**2 + ((-1*sqrt(114))\/sqrt(6))**2*-5.\nAnswer: 2*sqrt(19) + 13760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-228144)\/(-45) - (-1 - 195\/(-225))?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/19 - 19954*k**2 + 758258*k\/19 - 379130\/19.\nAnswer: -2*(k - 1)**2*(k + 189565)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 3. Let z be (-9)\/4 + 90\/(-120). What is the second smallest value in z, 3, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298b (base 13) to base 6\nAnswer: 43530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1)*d))\/d*d**(1\/3)*(d\/d**(-1\/2))\/((d**(-4)\/d)\/d) assuming d is positive.\nAnswer: d**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(-41\/5))**(2\/81)\/(((d*d**(-1\/3))\/d*d*d*d*d*d*d)**4\/((d*d**(-2))\/((d\/(d*d**(-6)*d))\/d))) assuming d is positive.\nAnswer: d**(-11369\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 + -538. Let m be ((-6)\/3)\/(s\/(-84) - 4). What is the nearest to 0.1 in 0.4, -1\/2, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11084935?\nAnswer: 5, 17, 130411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -981, -1895, -2749, -3513, -4157, -4651?\n\"Answer: 5*m**3 - 949*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5078 + -5059 - (1 + -14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l + 13*l - 5*l**3 + 2*l**3 - 2*l**2 + 3 + 0. Let k be 28\/(-12) + (-2)\/(-6). Let i(q) = -10*q**3 - 7*q**2 + 7*q + 10. Give k*i(t) + 7*u(t).\nAnswer: -t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00515425 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 35*d**2 + d + 59. Suppose 0 = -3*k + 2*k - 3, 5*p - 3*k - 64 = 0. What is the smallest common multiple of f(-35) and p?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least 21.408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 163 - 125 = 0. Suppose 2*j - 2*o - o = 51, 2*o = -3*j + b. What is the least common multiple of 10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6253, -2, -1, 16 in decreasing order.\nAnswer: 6253, 16, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85077 and 1035.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 130*c + 10*c**4 + 2*c**2 - 67*c - 65*c to s*c + h + w*c**3 + v*c**2 + i*c**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 7*n - 1 + 5*n + 0*n**2 - n**2 - 7*n. What is the first derivative of r(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.568.\nAnswer: 3.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, -751, -0.8, 250, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048362855 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13769622 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/((72\/5)\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 35417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = j + 4, 2*p - 5 = -j - 3*p. Suppose 4*w + 6 = 2*o, j = 4*o - 2*o + w - 11. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2263840 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let k = 6 - b. Solve -k*y + q - 20 = 0, -6*y = -2*y + 5*q - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.725531923 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5204 = 3*w, -4*w = -w - 5*a - 5200. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1305023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11650 times -142.71?\nAnswer: -1662571.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20247*r**3 - 20242*r**3 + 40489*r**3 - 39*r**2 + 2*r**5 + 337*r**6 wrt r.\nAnswer: 40440*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.4964 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4*(-2)\/(-40).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/32 - 1033*a**3\/8 + 3201267*a**2\/16 - 25*a + 61. Find z, given that d(z) = 0.\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 16. Suppose 4*b - 3*b = -2. Let q be 15 + 2 + b + -3. What is the tens digit of w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26852 divided by -28?\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:21 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -0.3, 218?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 1. Let x be v(-1). Suppose -23 = 6*n - 53. Put n, x, -5 in ascending order.\nAnswer: -5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16866, -33741, -50650, -67611, -84642, -101761, -118986, -136335?\n\"Answer: -3*g**3 + g**2 - 16857*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161 or -1\/7?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63\/307 + 55099\/51576. Let r = n + -7\/24. Suppose -6\/7*k**2 + 16\/7*k - r*k**3 - 8\/7 + 2\/7*k**4 = 0. Calculate k.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-20 - -11) + 21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 0 + sqrt(637) - sqrt(637) - sqrt(637)) + 4 - ((sqrt(637) - (sqrt(637)*2 + 1 + sqrt(637))) + -5))*-1)**2.\nAnswer: 182*sqrt(13) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(243) + -5 - (1 + (sqrt(3) - (-3 + sqrt(9)\/sqrt(3)) - sqrt(3))).\nAnswer: -8 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.92 or 0.36?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 236468.689 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*q = -86*q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0 - 3 + 5 - 1 + (-4 + 2 + 0)*(2 - 3 + 3) + 0 - 2 + 3 - 1 + 0 + 3 + 241 - 112 - 121)*(-2 - z**2 + 2) as q + m*z + c*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -239182 and -1.94.\nAnswer: -239183.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 372265240*w - 549827401.\nAnswer: 372265240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10)*1))**2 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-5)\/(-1180)*-4). Suppose t*j = 113*j + 15. Sort 4, j, 13 in ascending order.\nAnswer: j, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 5, n: 3, j: 2, f: 1, s: 1}. What is prob of picking 2 j and 1 s?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*p - 30, 2*t - 20 = 3*p + t. Let i(z) = 34*z**2 - 2*z + 13. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 58 = 2*d, 0 = 46060*d - 46061*d - 2*s + 49 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 604 by 31152.\nAnswer: 151\/7788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 8, 0, -4 in ascending order.\nAnswer: -5, -4, 0, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 12*a + 7*a = 0, -3*w - 4*a = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, -3, -75, -259, -603?\n\"Answer: -8*g**3 + 16*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12 and 47\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*v**3)*(0 - 7 - 7) - 3 - 4*v**3 + 3 - 4*v**3 + 3*v**2 - 3*v**2 to n*v**3 + j*v**2 + l + d*v and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 603*p\/2 + 276391\/4.\nAnswer: -(p - 197)*(p + 1403)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 2*y**2 - 3*y + 1. Let a = 4 + -2. Let b be g(a). Suppose 0 = 2*i - 3*q - 1, -4*q + 4 - b = 3*i. Which is greater: i or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 - 84. Let l = -80 + q. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 6*n + 26. Calculate the remainder when h(-6) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y - 4. Let a be 504\/(-32) + 1\/(-4). Let w be ((-9)\/(-12))\/((-6)\/a). What are the prime factors of z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101120001 (base 3) to base 8.\nAnswer: -17020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 205?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102222430 - 114?\nAnswer: 102222311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7331)\/105 - (-9)\/27. Let d = -356\/5 - w. Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -240, -957, -2154, -3831, -5988?\n\"Answer: -240*h**2 + 3*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*w - 13 = -5, -2*l - 5*w = 14. Let o be l*-1*(4 + -3). What is the third derivative of -5*y - y - 3*y**5 + 6*y + 7*y**o wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19*(2 - (-1 + 2)). Suppose 19 = 2*m + 3*h - f, -4*h = 4*m - 80. Suppose -438534*n = -438533*n - 13. What is the remainder when m is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13 - 2*u + 3 - 1. Let w be c(-8). Suppose 13 = 2*k - w*r, -3*k + r = -13 - 26. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k + 7. Let a be d(2). Let u = -1 + a. Suppose -u*v + 3*g + 2 = 14, 5*v = 4*g - 16. Solve v = x - 4*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224163 + 187000 = 73*k - 175684. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8*l)\/(l*l**(-17)) assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/5))**(1\/16)\/(q**(-4)*q\/q**(-2\/11)))**(-3))**(-5\/8) assuming q is positive.\nAnswer: q**(7341\/1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.16874ug in grams?\nAnswer: 0.00003516874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1414240\nAnswer: 424272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/36 + 145*n**3\/18 + 24*n**2 - 6*n + 106. Determine o, given that s(o) = 0.\nAnswer: -144, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Suppose -4998*p = -4975*p - 46. Let v(j) be the first derivative of 6 + 0*j**p + 0*j - 14\/3*j**3. Give z(v(k)).\nAnswer: 392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2. Let m(b) = 14*b**2 + 2. Determine y(m(c)).\nAnswer: 196*c**4 + 56*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + (-6)\/(-15). Suppose k = -43*m + 42*m. Suppose -i + 4*g + 184 = m, -i - 3*g = g - 176. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - x + 20 = 0, 3*x = -2*n - 2*x + 35. Suppose -1254 = -n*r - 4*g, 4*r = -g + 403 + 598. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(1 - 1 - z) - 5 - 4*z + 5 + (2 - 2 - 5)*(0*z + z + z) in the form j*z + q and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.7 - 3.3. Let g = 55.999999224 + p. What is g rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = 4*d, 12 = 5*x + d - 15. Let a(r) = -2*r + 5. Give a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12 - (-6)\/(-9). Let s = -4 + 3. Put s, -3, w in descending order.\nAnswer: w, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 5. Suppose 3*q + 23 = 2*u + 6*q, 15 = 3*u - 2*q. What are the prime factors of s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aanannnbba. Give prob of picking 1 b, 1 a, and 2 n.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.3, 7, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-76)*2\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -16*t**5\/5 - 8*t**3\/3 + 12. What is the third derivative of r(m) wrt m?\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499560827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 85503?\nAnswer: 684024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 30*h**2. Suppose z = 3*k + 19, 8*z = 3*z + 2*k + 95. Let s(b) = -z*b - 19*b + 40*b. Determine s(d(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 2*j**2 + 3*j - 4. Let w be z(3). Let r(k) = k**2 + 3*k + 3. What are the prime factors of r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 1, u: 1, m: 4, f: 5}. Give prob of picking 1 u, 2 f, and 1 q.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 119*x - 44. Give h(40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = j - 6851, -32*b + 37*b = j - 6879. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 34. Let x be f(16). Let p(s) = 9*s**x - 7*s**2 + 5*s**2. Let i(t) = t. Determine i(p(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -16, 1 in ascending order.\nAnswer: -16, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 186*k**2 + 87*k - 2. What are the prime factors of q(-4)?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -253994069659 and 78.\nAnswer: -253994069581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137541 and 361.\nAnswer: 137541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - (-13 + 4)) + -8 + -2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1088)*-3)**2*-6 - (-1*sqrt(153) + sqrt(136)\/(sqrt(8)*2 + sqrt(8)) + 2))*5.\nAnswer: 40*sqrt(17)\/3 + 881270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-1\/3)*b)\/b))**(-29)*(b\/b**(2\/73))**(-19\/3))**(3\/25) assuming b is positive.\nAnswer: b**(-9817\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*d + 43, 4*s - 23 = -5*d + 21. Let p = 2 + 0. Suppose d = 5*g - p. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.3 - 3.7. Let w = -18 - j. Let g = -5 + w. What is the third smallest value in -2, -2\/13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274129 and 1701281.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 3, 4, -14 in increasing order.\nAnswer: -14, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-24) - 50\/(-144). Which is the nearest to 0.2? (a) 0 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 396259135 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**(-22))\/u)\/(u\/((u*u**(3\/20))\/u)))**(17\/5))**(1\/44) assuming u is positive.\nAnswer: u**(7531\/4400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 653.23 - 27157.23. Let k = 26504.0799976 + w. Let i = -0.08 + k. Round i to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 81. Is 0.1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -721\/5 + 144. What is the closest to -1\/16 in 0, 2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*s - 8, -6*s = -s. Suppose 4*f = -2*y + u - 0, 3*f = -3*y + 6. What is the highest common factor of y and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by 42.\nAnswer: 148\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 68*o + 24*o + 23*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6643384*u**2 - 85*u + 38834 wrt u.\nAnswer: -13286768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*k = -502*k + 55. Put 0, 18, k in increasing order.\nAnswer: k, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 895 and 537.\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 5*m**2 - 9*m + 37. Let p be c(-7). Put -3, p, -157, -2 in descending order.\nAnswer: p, -2, -3, -157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 260355?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*f - 3*f. Let p = f + -6. Suppose 0 = -p*b - 15, 0*b + 4*b = -5*w - 40. What is the biggest value in -0.1, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 350024347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 14*j**2 + 12*j + 15. Let c be y(13). Let m = -2 + c. Is 17 a factor of (14 + m + 3)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.904 times -5306?\nAnswer: -4796.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2734, 5474, 8216, 10960, 13706?\n\"Answer: c**2 + 2737*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -731660 divided by -182915.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -176, 211 in decreasing order.\nAnswer: 211, 1, -5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from zzzzszzzzvzvzvzsszzv.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*57\/18*-6. Round n to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc01 (base 15) to base 16.\nAnswer: 9b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 4*i**3\/3 + 802*i**2 - 1608*i - 5609. Solve b(j) = 0 for j.\nAnswer: -402, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4255942 is divided by 1848?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*g - 19 = 12*g, 2*g = k - 4. Is (172328\/16)\/(-13)*k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*v - 37, -v + 3 = 2*u - 0. Suppose 2*m + s + 7 = -2*m, 0 = -m - 3*s + 1. Let z be 4*2\/(-4) - m. Sort z, u, 1.\nAnswer: z, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.23996 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2. Suppose 4*q - 12 = -2*q. Let f(g) be the first derivative of -20 + 3*g**2 - 2*g**2 + 0*g**q + 29. Calculate f(r(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 793 (b) 307 (c) 56 (d) -0.3 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 19. What is the second biggest value in -2\/13, s, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20462 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 171128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*b - 4, -150*b - 3 = -153*b. Let i be (-63)\/(-145) + (44\/(-10) - -4). Which is greater: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Suppose -4*y - 1 = 3, 3*g = 3*y + 9. Let f be 4\/40*g*-2. Which is the third smallest value? (a) 3 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -2*g**3\/3 + 25*g. Let k = 4 - 2. Let h(o) = 0*o**2 + 2 + o**k - 2. Calculate h(w(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 - -228. Let f = 152\/581 - -2\/83. Which is the nearest to f? (a) -1\/7 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 8*l - 14 - 11*l.\nAnswer: -3*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4569 + 80*t**2 - 9159 + 4578 to o*t + q + y*t**2 and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**3 - 4. Let y = -102 - -125. Let m = y - 28. Let f(b) be the second derivative of 9*b**5\/20 - 5*b**2\/2 + 3*b. Determine m*t(d) + 4*f(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60173263 - 5?\nAnswer: 60173256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyyp when four letters picked without replacement from {p: 1, y: 2, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, 4, 20, 42?\n\"Answer: 3*k**2 + k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/6 - y. Let m(c) = 265*c. Let f(i) = -1520*i. Let p(b) = 7*f(b) + 40*m(b). Calculate w(p(v)).\nAnswer: 3200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1465, 2959, 4453?\nAnswer: 5947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 9*j + 5. Let c be h(7). Let u = 9 + c. Solve 0 = -3*w - u + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 8*k + 4. Let d(f) = -f**3 + 5*f**2 - 3*f + 5. Let i be d(4). Let j be a(i). Find the second derivative of -p + 13 - j - 2*p + 3*p**3 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(825)*-2 - (sqrt(33) + sqrt(297)\/sqrt(81))))\/(sqrt(243) - (sqrt(243) + 3*sqrt(243) - sqrt(243)) - 3*(sqrt(3) + -1*sqrt(3) + sqrt(3))).\nAnswer: 68*sqrt(11)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1780277.3\nAnswer: -1780277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6 - 119\/(-42). Suppose -4*d + 4*w + 32 = -d, m*d + 2*w = 20. Suppose -5*i - 12 = -3*g, 0*g + d = 2*g + 5*i. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14*h - 8. Give w(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*((2 + sqrt(7)*3 + sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(1029)\/sqrt(3))))**2 + -3)*-6 + -2.\nAnswer: 5184*sqrt(7) + 81790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:24 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 + ((-36)\/19 - 26\/247) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/24 - 11*a**3\/12 + 5*a**2\/2 - 3*a + 44. Factor w(f).\nAnswer: (f - 10)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2*v - 15. Let w be l(5). Is 3 a factor of 71 - w\/(-10)*18\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*r - 235, 5*g - 7 = -r + 43. What is the remainder when 170 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13*g**3*g)\/(g**(-1\/5)*g)**9 assuming g is positive.\nAnswer: g**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(3 + -12))\/(1\/6). Suppose l*g = 4*b - 138, 0*b + 2*g + 173 = 5*b. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.119 in -168, -5, -1109?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (150\/2)\/3. Let z = -12 - d. Let m(o) = -o**3 + 11*o**2 - 8*o - 8. Is 5 a factor of m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 14 - 874. Suppose 5*f + 2*h = t + 231, 5*h + 10 = 0. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 83, -4, 2, -5\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t**(1\/18)\/t)\/t*t))\/(t\/t**(-32))*t**(-1\/67)*t\/(t*t\/(t*t**19*t*t)) assuming t is positive.\nAnswer: t**(-10939\/1206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 25 + 26*v**2 - 25*v**2 - 2*v. Calculate the remainder when j(13) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Suppose -3*w - 4*p + 5 = p, 0 = -4*p + z. Solve -5*d - 2*u + 17 + 3 = w, 5*u = -2*d + 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/10 in -0.2, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -413 - -413. Let p be ((-260)\/32)\/5 + 2. Put 1, -3, p, c in ascending order.\nAnswer: -3, c, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 m when three letters picked without replacement from {h: 2, m: 2, c: 2, d: 1, j: 5, y: 1}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*a - 5420 - 13060. What is the greatest common divisor of a and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*r**2 - r**4 + 0 - r**4 + 4*r**2 as d*r**4 + j*r**3 + q*r + w*r**2 + c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3480 - 1603*c**2 + 3477 - 6957)*(c**2 + 0*c**2 - 3*c**2).\nAnswer: 3206*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - -2) - ((-116 - -38) + 82)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*10\/120)\/(((-2)\/(-20))\/(-1)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -102.91 (b) -21.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or 10?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3\/5 + 212*w**2\/5 + 73*w\/5 - 142\/5 = 0. What is w?\nAnswer: -1, 2\/3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 140*u + 4 - 79*u + 110*u. Let h(n) = -114*n - 3. Let b(a) = -5*g(a) - 7*h(a). Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(7 - 1567\/2). What is the third derivative of -1355*s**2 + s**3 + 29*s - 29*s - 17*s**4 + v*s**2 wrt s?\nAnswer: -408*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9583?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 4) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nht when three letters picked without replacement from hnhhhttthnhnth?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4\/12 + 125*w**2 + 115. Let o(v) be the second derivative of b(v). Let g(j) = 64*j + 1. Determine g(o(h)).\nAnswer: 128*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 2, -57\/5, -3\/4?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -4 - 0) + 3. Solve 0 = 5*m + 23 - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*h**4 - 201*h**3 + 183*h**2 - 15*h.\nAnswer: 3*h*(h - 5)*(h - 1)*(11*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**9)\/u))\/(u\/((u**6*u)\/u)))\/(u*u**(-2)*u)**(-30)*(u*u\/(((u*u\/u**2)\/u)\/u)*u)**(3\/38)*(u**(1\/3))**(-16) assuming u is positive.\nAnswer: u**(-905\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2370*x + 1055*x + 817*x.\nAnswer: -498*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 4. Let s be y(-7). Let j(z) = 3*z**2 + 323 - 2*z**2 - 324 - z. What is the units digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 1. Let g be i(2). Let a(m) be the third derivative of 1\/24*m**4 + 0*m + 3*m**2 + 0 - 1\/60*m**5 + 0*m**g. Let a(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1372, 3955, 9282?\nAnswer: 14609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (2 + -4 + 0). What is the greatest common factor of z and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 21.8. Let p = q + 0.8. Which is the closest to -0.02? (a) p (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 13*u**2 - 5*u - 55. Suppose -3*l - 6 = 0, -3*x - 45 = l - 4. Let i(m) = -9*m - 1. What is the least common multiple of p(x) and i(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*(-122)\/5551*(-42)\/(-2)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 21648808*s - 29291930488804.\nAnswer: -4*(s - 2706101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from askussdss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**3\/3 - 4*f. Let z(w) be the second derivative of w**3 + 11*w. Determine z(t(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830275.5 centuries to years.\nAnswer: 83027550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3659, 3671, 3691, 3719, 3755, 3799, 3851?\nAnswer: 3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 358927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223.245 - -223. Let u = -0.245078 - z. What is u rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -x + 67, 4*l - 174 = 4*x - 58. What is the highest common factor of 96 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = c + 1 - 5, -d = 2*c for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9075.7 + -9076. Let l(g) = g**3 + 9*g**2 + 9*g + 2. Let j be l(-8). Which is the nearest to j? (a) -1 (b) 0.06 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5324*h - 4288. Let k(t) = 7983*t - 6432. Let o(q) = -8*g(q) + 5*k(q). Differentiate o(w) with respect to w.\nAnswer: -2677","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - (sqrt(102) - (6*sqrt(102)*1 - sqrt(102)))) + sqrt(102))\/(sqrt(192)\/sqrt(8))*-2.\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*(-21)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*((f*f\/(f*f**(5\/2)*f))\/f*f)\/f*f)\/f*f)*f*f**31*f)\/(f\/(f*f**(-3)\/f))**(2\/21) assuming f is positive.\nAnswer: f**(1475\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:30 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.991161 to 2 decimal places.\nAnswer: -299.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose 56 = 6*m - v*m. Let d = m - 7. Solve 0 = -d*y + 4*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -8\/21, 4\/9, 0.5 in increasing order.\nAnswer: -8\/21, 1\/4, 4\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 711176 (base 9) in base 5?\nAnswer: 101431113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 676094 by -85.\nAnswer: -676094\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 528 = 15*m. Let p = m + 262. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*t**5 - 8*t**4 - 931*t**3 + 5*t - 270943.\nAnswer: -680*t**3 - 96*t**2 - 5586*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 962 - d26?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1 - 31 = 0. Let n be (9 + 1)*r\/(-5). Suppose -3*v + 3 + n = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 10186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2932*d - 2930*d - 24 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikmiihiihiih. What is prob of sequence hm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/62*(-772)\/(-21). Let f = o + -4\/93. What is the common denominator of -91\/6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 3\/80, 4\/5, 4, -6\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 50. Find the common denominator of ((-186)\/108*s)\/((-1)\/9) and 4\/(-8) - 54\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 24. Let a = -41 - x. Let s be ((-60)\/a)\/(6\/20). Solve 9 + 3 = s*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1\/7, 0.5, 0.3, -5 in descending order.\nAnswer: 0.5, 0.3, 1\/7, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-14\/9)*r**(2\/15)*(r**(-8))**(-17))**(-2\/11) assuming r is positive.\nAnswer: r**(-12482\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + -12.3. Let s = -16 - k. Let n = -0.2 - 0. Which is the closest to n? (a) 0.4 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -102, -224, -394, -612, -878?\n\"Answer: -24*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1499415 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2835)*-3)\/(-3*((sqrt(42)\/sqrt(6) - sqrt(7))*-1 - sqrt(7))).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 77*i**3 + 1725*i**2 + 9275*i + 12250.\nAnswer: (i + 2)*(i + 5)*(i + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/4 of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -490*l**4 - 7989*l**2 + 2574811*l wrt l.\nAnswer: -5880*l**2 - 15978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/10)\/b)\/(b**9\/b))**(-7\/8) assuming b is positive.\nAnswer: b**(651\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11089ca + d?\nAnswer: 11089d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 27*p**2 - 10*p - 201. What is z(-27)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31695 - -22566839\/712. Let f be 0 - 0 - (-3)\/(-3). Which is greater: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 6*z. Let m be p(2). Do -1\/6 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176272608.\nAnswer: 2, 3, 199, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**3 + 17*x**4 - x + 0*x - 18*x**4 to the form p*x**4 + v*x**3 + m*x**2 + h + i*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 266 = -6*j. Let w = -98 + j. Calculate the greatest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 + 2*j - 1. Let p = 3 - 1. Let u be x(p). Suppose -5*q = f - 13 + u, 4*f - 65 = 5*q. Solve 3 = -3*s - a, 5*a + f = s - 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 40. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117154 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-900)*-9*474\/316.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 12*h + 3. Let j(w) = w + 1. Let x(i) = -4*j(i) - v(i). Let d be x(-9). Solve -f - d - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 8*u = -66. Let d(n) = n**3 + 12*n**2 - 29*n - 3. Let w be d(-14). Is w > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2696*d - 408 = -2288*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38804 and 3488?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -236659403 + -2402?\nAnswer: -236661805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16032 plus 3?\nAnswer: 16035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 3*g**3 + 2*g**4)*(60 - 55 - 58 - 211).\nAnswer: -528*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -63*b**2 + 34*b + 11. Let z(u) = 12*u**2 - 2*u. Let n(g) = l(g) + 5*z(g). Give n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 4888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18) - ((-36)\/63)\/(468\/962)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 213, 208, 199, 186, 169, 148, 123?\n\"Answer: -2*t**2 + t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3268, -3248, -3224, -3202, -3188?\n\"Answer: -t**3 + 8*t**2 + 3*t - 3278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247112 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 0.35. Let h = 3436.6 - 3437. What is the biggest value in -0.7, h, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487997 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54964 divided by -52.\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:32 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1531783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 - 2*q**3\/3 + 3*q**2. Let t be a(8). Solve -3 = r + 3*d - 0*d, d + 1 = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1036*p + 1036*p - 51*p**2)*(-3 + 1 + 3).\nAnswer: -51*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108201 is divided by 1002?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 25*q + 636. Let k = q + 47. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(-12 - -16). Let r be (25 - q) + 3 - 4. Suppose 0 = -3*t - 0*t + 4*m + r, m - 18 = -t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -24*j - 18. Calculate y(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 20940072.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -357, -757, -1313, -2031, -2917, -3977?\nAnswer: -5217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 473 - -43418?\nAnswer: 4388b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23582, 23580, 23578?\n\"Answer: -2*x + 23584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 13*x. Let q(n) = 122*n. Give w(q(f)).\nAnswer: 29768*f**2 - 1586*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**6\/120 + 7*t**5\/60 + 7*t**4\/24 - t**3 + 9*t**2\/2 - 14. Let y(z) be the second derivative of k(z). Give y(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0334*-168657.\nAnswer: -5633.1438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -m + 19, -4433 + 4460 = -3*m + 2*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 1862?\nAnswer: -1861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 2*i - 4*i)*(-2 + 14 + 9)*(10*i**2 + 0*i**2 - 43*i**2) to the form f*i + u*i**2 + g*i**3 + d and give g.\nAnswer: 6237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 124. Let n(s) = -7*s + 28. Let p be n(4). Suppose -5*a = d - 10*a - 20, p = 4*d - 4*a - 96. Calculate the remainder when o is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d - 2*y - y, -5*y - 5 = 5*d. Let i be 6\/(-8)*d + (-507)\/(-6). Suppose 2*o = i + 59. List the prime factors of o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 1. Let l = -245 + 253. Let v(i) = 3*i**3 - 2*i**2 - 3*i + 2. Let f be v(2). Let m be -3 + l\/(f\/3). Let t(h) = -7*h - 6. Give m*t(b) + 6*x(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 459.6 and -578 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(23\/368).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 17*n - 45. Suppose -759 - 2253 = -n*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.75 - -1.8. Let t = 3.95 + f. What is the closest to 0.2 in -0.2, 1\/7, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8330\/210*6*4\/56.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**12*(h\/(h*h**(-8)*h))\/(h**(-11\/4)\/h) assuming h is positive.\nAnswer: h**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 14. Let d be s(6). Let n be (2 + 0\/2)\/d. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -710, -2886, -6514, -11594, -18126, -26110?\nAnswer: -35546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 - 25*t)*(-11*t**3 + 11*t**3 + 6*t**4).\nAnswer: -150*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11426 (base 7) in base 16?\nAnswer: b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1430270*0.4\nAnswer: 572108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7617419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18576 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701429773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19301 - 19298. Let t(g) be the third derivative of 17*g**2 + 0*g**u + 0*g**4 + 0*g + 0 - 13\/60*g**5. Let z(y) = -y**2. Give t(z(l)).\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*y + 4*s, 0*s - 4*s + 14 = -2*y. Let k be (-11)\/y + (-1)\/(-3). Let v(p) = 3*p + 0 - 2*p - 2 + 1. Let h(d) = d - 1. Calculate k*v(o) - 5*h(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1576*h**2*n*x - 12*h*n + h - 25*n*x wrt h.\nAnswer: 3152*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-4)*(-1)\/2)\/(16\/(-64))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2993 + -1133. What are the prime factors of f?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 7*y - 8. Calculate j(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3 - 40. Let o(a) = -28*a. What is o(g(j))?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-59 - 2)*(-9 + 162\/(-9)).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1696.402 to the nearest 10.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, -5, 2 in decreasing order.\nAnswer: 8, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25542\/613008*1*(27 - -1)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-2 - -3) + 0. Let t(b) = -b**3 + b**2 + b. List the prime factors of t(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 10\/21, 0, 191, 2?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -320.\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 - 11*d**3\/6 + 7*d**2 + 16*d. Let s be q(-8). Suppose 0 = s*p - 40*p + 140. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263.269984915 + -263.27. Round h to 7 decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 + -116. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l. Let n(a) = -2. Let b(i) be the first derivative of 3 + 0*i**2 + 1\/3*i**3 - 11*i. Let q(o) = 2*b(o) - 11*n(o). What is u(q(f))?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 841*b + 3 + 840*b - 1687*b. Let k = 4 - 3. Let m be f(k). What is the closest to 0.1 in -2, m, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22163303 is divided by 968?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, n: 2}. Give prob of sequence nc.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, v: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 - 3*q + 1\/2*q**2 - 11\/2*q**3. Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1786 (b) -50.8 (c) 3 (d) -2 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -141, -1199, -2965, -5439?\n\"Answer: -354*h**2 + 4*h + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 50*m + 431*m**2 - 50*m. Is z(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3341 + -20056\/16705. Which is the fourth biggest value? (a) 0.4 (b) p (c) -1 (d) -5 (e) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*w = -63*w - 64*w - 54*w. Which is the second biggest value? (a) 4 (b) -0.5 (c) 2 (d) w (e) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 22 - (19 + -38)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -484 - -872. Let a = g + -401. What is the nearest to -2 in 1\/5, -6, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4689, 9381, 14075, 18771, 23469, 28169?\n\"Answer: z**2 + 4689*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:15 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*z - 23 = -4*m, 2*m + 327373*z - 7 = 327374*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(4 - 1 - 1)*(-3*n**4 - n**4 + 3*n**4) + (1 - 1 + n**2)*(-2*n**2 - 2*n**2 + 3*n**2).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(4\/63692*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 - (-17)\/(-7). Let y(x) = -3*x - 1. Let j be y(g). Let t be ((-4)\/(-1))\/(4\/j). Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332\/3 - 109. Let f = -9.4 + 9. Let n = 0.31 + -0.3. Put f, t, n in ascending order.\nAnswer: f, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 9, -3*b + 2903 - 9923 = -2*m. Are b and -2345 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 + 96*h**4 - 2378*h**3 - 96*h**2 + 2376*h = 0. What is h?\nAnswer: -66, -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04300274 - -0.043. Round k to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:12 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48151.\nAnswer: 179, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k + 24. Let m be (-5)\/(25\/k) - 1. Let p = 1 - 4. Which is the closest to -1? (a) -4 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.76?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 71*w. Let q be a(2). Suppose 0 = -3*m - 0*m. Suppose n - 47 = -k, 5*n - 4*k - q - 66 = m. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 6. Let l be 0\/(-1) + 5 - -1. Let t be m(l). Let n be (8\/t)\/((-6)\/(-27)). Solve w = -2*w + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/(-54)*(-23 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 6*h**2 - h**2. Let s(r) = 3*r + 1. Let z(f) = -f**2 + 3*f + 1. Let t(v) = -s(v) + z(v). Determine p(t(w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, a: 3, f: 2}. What is prob of sequence wff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2. Suppose -4*i = 4*x - 216, -33*x + 30 = -32*x + 5*i. Suppose 45 = 3*h - 39. Let d(q) = -h + x + 5*q - 32. Calculate m(d(n)).\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*n**2*s - 7*l**3*s + 2*l**3 - 25*l**2*n**2*s - 2*l - 2*n*s wrt n.\nAnswer: -2*l**3*s - 50*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*y = -20, -j + 2*y + 28 = -5*j. Which is the second smallest value? (a) j (b) -0.1 (c) 5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((6\/27)\/((-19)\/342))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.191? (a) -0.13 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 4. Let b = -3.868 - -3.468. Let h = -56 - -55.5. What is the closest to 0.1 in w, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*g - 10 = 2*g, 45 = -4*x - 5*g. Let o = -196 + 196.3. Let i be (-48)\/(-22) + (6 - 8). What is the nearest to -0.2 in i, x, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 13*i + 45. Give q(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1695, 3, -4 in ascending order.\nAnswer: -12, -4, 3, 1695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1466229 - 1466229 + 153*z**2.\nAnswer: 153*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165693230 divided by 1.\nAnswer: 165693230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 7 + 0 - 7*v - 2 - 5*v**3 + 6. Let n(h) be the first derivative of h**4\/2 - h**3\/3 + 3*h**2\/2 - 5*h + 1. Calculate -3*c(b) - 7*n(b).\nAnswer: b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.43148 - 0.13148. Which is smaller: t or 0.434?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098497574 to the power of 1\/2, to the nearest integer?\nAnswer: 55664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11431\/5319 + -23\/1182. Calculate the common denominator of -1\/14 and j.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2148, -4637, -7126, -9615, -12104, -14593?\n\"Answer: -2489*v + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(1 - (-9 - -7) - 29). What is the highest common factor of 4654 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - (11 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11 = 9. Suppose 45 - 10 = g + 2*o, -k*g + 4*o + 133 = 0. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1 - 19 = 0. Let v = 22 - 27. What is the lowest common multiple of v\/(-2)*((-16)\/5)\/(-2) and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16360.663 and 2252754.\nAnswer: 2269114.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 9 = -x - b, -2*x + 8 = 4*b. Suppose x*o - 5*o + 523 = -4*v, 2*v - 330 = -2*o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311301221210 (base 4) to base 10\nAnswer: 14096996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 39. What is the first derivative of -6*k - 11 - 3*k + 9*k - 18*k**g wrt k?\nAnswer: -72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11322058 + 1.41322022. Let j = 1.3 - b. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -125. Let b = v + 64. Solve 5*m + u = -16, -b*m + 0*m + 5*u - 40 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297 + 592 + -293 - (-1 + 0 + 14)) + 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/12 + 1)\/((-39)\/(-19266)). Let x = k + -83. Put -2\/11, -0.5, x in increasing order.\nAnswer: x, -0.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7961 divided by -1.\nAnswer: 7961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 40 = 4*m, 246*m - 94 = 247*m + 7*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7523*k - 37596. Calculate j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 3*o**3 + 14*o**3 - 11*o**3 - 2 - o**4 to w*o**3 + x + d*o**4 + u*o**2 + c*o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/(-374) + 87\/(-66)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 3*s - 7. What is the units digit of h(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.577 - 0.657. Let t = u + -17. Sort 1\/4, -1\/9, t in ascending order.\nAnswer: -1\/9, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (355\/(-852))\/((-10)\/16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288056.31ms to minutes.\nAnswer: 4.8009385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -6471 = -6477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Suppose 0 = b*v - 6*v - 2*y + 30, 0 = -3*v - 2*y + 25. Solve v*k - k = -8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -2 (c) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 27b3a0?\nAnswer: 27b3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/36257 and 49\/186863.\nAnswer: 2429219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020 - (8\/(-2) + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.06 - 0.94. What is the fourth smallest value in 4, u, 3\/7, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57097*q**3*s**2 + 2*q**3*s - 87834*q**2 - 2*q*s**2 wrt q.\nAnswer: 342582*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.9. Let z(v) = -3*v - 37. Let n be z(-11). Let k be 115\/(-621)*n\/(-10). Which is the nearest to k? (a) 2 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 + d**3 - d**2\/2 + 5*d + 8. Let s be c(3). Solve -2*g - s*g = -8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/27)\/(1\/(-3)). Let v be ((-9)\/(-12))\/(-2 + (-7)\/(-4)). Sort 2, -1, n, v in decreasing order.\nAnswer: 2, -1, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -138470 and 3.1.\nAnswer: -429257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let i(c) = 5*c**2 + 9*c + 4. Let a(q) = i(q) - 6*t(q). Let z be a(10). Let p(g) = 2*g + 4. Determine p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -2*g. Let l = g + 1. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160 - 106*c**3 + 283 - 2*c**2 + 2*c**2 with respect to c.\nAnswer: -318*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x*((x*x**(1\/2))\/x*x*x)\/x*x)\/x*x)\/x*x*x)\/x)\/x)**(2\/111)*x**(2\/11)\/(x\/x**(6\/11))*(x**(2\/7)*x)\/x**(-4\/5)*x**6*x**(3\/8) assuming x is positive.\nAnswer: x**(2820869\/341880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 63. Let l = 399 - 392. Suppose 0 = -l*c + 30 + 89. What is the remainder when a is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 11*f + 2420 = 0. Suppose -y = c - 406, y - 4*y + c = -f. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104207, 105284, 106361, 107438?\n\"Answer: 1077*s + 103130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/5)\/j)\/((j**2*j)\/j))\/(j**(-1))**(-27)*j*j*j**4*j*(j**(1\/4)*j)\/j*j*(j**(-2\/3))**12 assuming j is positive.\nAnswer: j**(-611\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/33 + (-60)\/(-165).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 2*d + 3*d)*(d - 3*d + d + (2 + 2 - 3)*(-2*d - 4*d - 6*d)) to the form o + x*d**2 + y*d and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 170418*c + 8180060. What is m(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-3 - ((-75)\/2 - -4)). Let x = 80 + o. Solve 0 = q - 0*i - 5*i - 27, 3*i + x = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13771 and 3.\nAnswer: 3.13771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 12:39 AM?\nAnswer: 515","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 530, 1056, 1548, 1988, 2358, 2640, 2816?\n\"Answer: -3*i**3 + i**2 + 544*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*112\/140?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 13*q**2 - 23*q + 11.\nAnswer: -(q - 11)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7808 * 0.3.\nAnswer: 2342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20755, 24426, 28097, 31768?\nAnswer: 35439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/37 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20471 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (2 + -4) - (-12 - -2). Let q be -3*(-2)\/(-3)*-1. Solve q*x = v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48164*y - 5 + 3 + 7665*y.\nAnswer: -40499*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - b + 8*b in the form x + w*b and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15675 divided by 5.\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 2626525424?\nAnswer: 2626525423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let f(x) = 2*x - 7114. Give w(f(r)).\nAnswer: 4*r**2 - 28456*r + 50608996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.17 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 take away 157665072?\nAnswer: -157665056.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10460\/24499 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -22*r + 1. What is q(2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 55755*h + 1395750.\nAnswer: -3*(h - 18610)*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**2 + 0*l**3 + 0 + 3*l + 1\/6*l**4. Let w(b) = b**2. Calculate k(w(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g + 12. Calculate the remainder when 179 is divided by ((-3)\/g)\/1 + (-143)\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3456 and 4293504?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 557*c - 91. Let o(q) = -417*q + 71. Determine 7*k(i) + 9*o(i).\nAnswer: 146*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 22*q**2 + 55*q - 223. Calculate l(7).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181156309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003082 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/9 (b) 1 (c) -2\/9 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734143291 a multiple of 2660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13245, 13514, 13961, 14586, 15389, 16370?\nAnswer: 17529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.47711 hours to days.\nAnswer: 5.06154625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*35\/126?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3928 + -3927. Sort 4, 0.61, 0.1, k.\nAnswer: 0.1, 0.61, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50073662?\nAnswer: 2, 29, 787, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 6 - 8)*(0 + 0 - 4*o) + 0 - 2*o + 0 + (0*o + 0*o - 2*o)*(0 - 3 + 5) - o + 3*o + 0*o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 381022.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20521529, -41043502, -61565461, -82087400, -102609313?\nAnswer: -123131194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((350\/210)\/((-15)\/(-6)))\/(-2*(-4)\/32)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*c + 1 - 148*c - 154*c - 143*c + 627*c.\nAnswer: 31*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -5*p + 12. Let b(h) = h**2 + h + 1. Let m(w) = 4*w**2 + 4*w + 4. Let r(t) = -3*b(t) + m(t). Give r(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17817 (b) 15.83 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4624 = -3*q - p, 42*p = -q + 46*p - 1524. Is q equal to -3079\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1089 minus -10.8203?\nAnswer: -1078.1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by -18.\nAnswer: 122\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1, 0.5.\nAnswer: -1, 0, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -36*(0 - 15\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1811*v**4 + 748 + v**4 + 1287 wrt v?\nAnswer: 7248*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 56. Let w = 15 - x. Let m = -12.2 - -12. Which is the nearest to 0.1? (a) w (b) 0.08 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*c + 5)*(0*c - 3 + 5*c + 4).\nAnswer: 20*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + -11)) + -10 + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498 divided by 3.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjpsnjsnxns. Give prob of picking 1 p and 2 m.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 678572*w. Let q(y) = -12*y**2. What is x(q(o))?\nAnswer: -8142864*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26867.758 rounded to the nearest 10?\nAnswer: -26870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4279, 4277, 4275, 4273, 4271, 4269?\nAnswer: 4267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2 + 48\/26. Let f = -24148.1 - -24148. What is the second biggest value in 5, m, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 + (-30)\/132*-8. Let k(y) = y**2 - y - 1. Let p be k(2). Is p <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 - 3 = 0. Let p = 60 - 57. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(24\/5)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 5*j + 41, 6*h + 187*j = 189*j + 86 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 361286359107 and 5.\nAnswer: 361286359112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 7) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*u + 3 = 0, 5265*u - 5270*u = 25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(1 + sqrt(19)) - (sqrt(475) + 1)**2).\nAnswer: 75*sqrt(19) + 2405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g**2 + 18*g**2 - 11 + 12 + 3*g + 2*g**3 in the form t*g**2 + s*g**3 + b*g + r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n + 32*n - 35838 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, 0.1, 227190 in increasing order.\nAnswer: 0.1, 139, 227190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(-43*180\/(-5160))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 41, 15, -33, -109, -219?\n\"Answer: -v**3 - 2*v**2 + 3*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474883291.\nAnswer: 113, 1667, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-2576)\/32)\/23\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-134538)\/357)\/((-3)\/42) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -390*m + 3306. What is the lowest common multiple of c(7) and 4?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 51*n**2 - 27*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11001101?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 13.4, 3, -2?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.382 and 2.\nAnswer: 20.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (0 + 118)*((-200)\/(-25) + 89)?\nAnswer: 22892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 - (-8)\/3. Suppose -10*x = -194 + 244. Put c, 40, x, -4 in descending order.\nAnswer: 40, c, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*n = -890*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -21. Is 32\/(5 - 2 - f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.38 + 3613\nAnswer: 3606.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -9\/5*a**5 + 0*a - 23*a**2 - 8\/15*a**3 - 11\/12*a**6 - 7\/5*a**4 + 0. Factor z(x).\nAnswer: -2*(5*x + 2)**2*(11*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + 114\/60. Let t be (-2)\/(-17) - (-1175)\/850. Which is the closest to o? (a) 0.09 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -24*b**5 - 127*b**4 - 35*b**3 = 0?\nAnswer: -5, -7\/24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 18*b**2 + 11*b + 11. Is u(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/22*(-2)\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484\/363*-14*42\/16.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9394, -38133, -86078, -153229?\n\"Answer: -9603*c**2 + 70*c + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 11:29 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-72 - (-13 - -10)) - -5) + 5 + 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273 + 42546?\nAnswer: 42253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 43. Let p = -2.03 + 0.03. Which is the third biggest value? (a) -5 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/17 (b) 4\/815 (c) -0.3 (d) 1 (e) -2\/13 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.1663155112 - 0.1663156512. Let s = -0.08 - 14.92. Let d = z + s. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let q(x) = -31*x**2 + 75*x**2 - 33*x**2 - 3*x - 2*x. Give q(j) - 5*y(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4104 greater than -447272\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -1263*i**5\/5 - 1720*i + 377. Differentiate p(s) wrt s.\nAnswer: -5052*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783203125 divided by -125.\nAnswer: 6265625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4 - 37955*u**3 - 4805070*u**2 - 134489880*u = 0.\nAnswer: -83, -42, 0, 7716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2491310883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19153.3 + -19200.29856. Let l = t + 47. Round l to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1723890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/t)\/t)**20*t**(-9\/2)\/t**(1\/3) assuming t is positive.\nAnswer: t**(331\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 192 = 4*s, -2*s - s = 4*j + 144. Let h be 1 + (59 - 3 - 1). Is (s\/(-7))\/(8\/h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 5. Let d = 161 - j. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -44. Let z(x) = 2*x**2 + 6*x + 5. What is the remainder when a is divided by z(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/6)\/((14796\/(-81))\/137)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-49)*216\/96 + 5883\/(-5180)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*4\/(-40) - 8\/(-10). Suppose c = 8*m + 154 - 338. What is the remainder when 72 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586832404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*o + 2944 = 0. Suppose o = 9*n - 5*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 - 49*d + 82. Let a(y) = -3*y**2. Determine j(a(z)).\nAnswer: -27*z**4 + 147*z**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 201. Suppose -113 = -i - 4*i + h, -2*h - n = -5*i. Suppose -v = 5*q - 10, 2*q + 2*v - 7*v + i = 0. Solve -5*j + u - 2 = q, 3*j + 4*u = -11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5091*i*p**6 - 2*i*p**4 - i*p**2 - 81720*i*p wrt p.\nAnswer: 610920*i*p**3 - 48*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 84. Suppose -239 = -3*h - 8. Suppose h - 245 = -4*s. Calculate the highest common factor of s and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14334539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4301035 + 1?\nAnswer: 4301036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(28) + 4)**2)*-4.\nAnswer: 256*sqrt(7) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 380 - 433 = -2*z, 0 = -p + 6*z + 311. Is 278 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 1053234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18*z + 12. Let t be n(-6). Let w = -70 - t. Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1340\/4739 - -2\/677. Which is the third smallest value? (a) -10 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156792 + 27\nAnswer: -156765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 1010. List the prime factors of a.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027509894 to six decimal places.\nAnswer: 0.002751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 divided by 1?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-8 + 1 - -34).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from {q: 1, k: 4, e: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -293347, 59, -1 in decreasing order.\nAnswer: 59, -1, -5, -293347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 9*i**2 - 5*i + 31. Let h be q(12). Let z be 2\/5 - 7590\/(-25). Let y = z + h. What is y rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*j - 0*s + 9, -5*j + s = -3. Suppose 2*h - 89 = 3*y, -4*y = -0*y + 20. Calculate the remainder when h is divided by (3 - j - -16) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -303, -23\/6.\nAnswer: -303, -23\/6, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-335)\/(-3685) + (-2)\/(-22)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 136, 206, 278, 352, 428?\n\"Answer: o**2 + 65*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12439 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**3 - 37*m**2 + 16*m - 4. Let d(l) = 22 - 25*l**2 + 4*l**3 + 29 - 54 + 11*l. Let p(s) = -5*a(s) + 7*d(s). Is 7 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 14*i**2 - i + 44. Let w be c(15). Let d = w + 268. Calculate the greatest common divisor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*k**4 + 11391*a*k**2 + a - 7404367*k**4 - 141*k**2 wrt k.\nAnswer: -48*a*k - 177704808*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -4*h + 1\/12*h**3 + 0*h**2 - 38. Factor t(c).\nAnswer: (c - 4)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 8*m - 5*m - 17, -5*m = -15. Let b(o) = -o**3 + 7. Let p be b(0). Let s be -2 + p + h\/(-1). Solve 18 = s*w + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 33. Let l be (-6)\/((-18)\/75)*c. Suppose 28 = 2*d + 4*r - 16, 146 = 5*d + r. Calculate the greatest common factor of d and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/118 and 53\/24.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2374810 and 580.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 842825623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 - (1 + 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416880035?\nAnswer: 5, 11, 13, 17, 34297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 316056?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 divided by -70.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581372\/219*3\/4?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 2*d + 4. Let z(q) = -15*q**2 + 10*q - 27. Let f(m) = -9*m**2 + 5*m - 14. Let w(y) = 11*f(y) - 6*z(y). Give 5*k(n) - 2*w(n).\nAnswer: -2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 10 + 7*p - p**2 + 0*p - p. Let w be g(7). Suppose 38 = 4*c + w. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 7573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 at most as big as 62365\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131370 and 3171.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -44386370*v - 14520. Let g be u(4). Round g to the nearest 1000000.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:38 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 1, i: 7, t: 2, f: 1, q: 1}. Give prob of sequence icqf.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + k - 35, 3*g = 4*k - k + 39. Solve 2*h + x + g = 1, -h + 4*x = -17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, -4*r + 4*r - 896 = -4*b - 4*r. Solve b = 23*o + 63 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 118. Suppose 15*i = -17*i - 0*i. Suppose i = 8*b - 23*b + 435. Calculate the remainder when c is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035683 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7345332, 7345334, 7345336, 7345338, 7345340, 7345342?\n\"Answer: 2*n + 7345330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*z**2 - 31*z**2 - 194*z + 165*z + 6 - 2 + 2*z**3.\nAnswer: 2*z**3 + 119*z**2 - 29*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 52 (b) 2\/89 (c) -21951 (d) 3 (e) 0.3 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001713384 to 7 dps.\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010000011101 (base 2) to base 15.\nAnswer: -1c02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 61 = -4*r, -4*r = -2*g + r + 10. Is g less than 47\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + 1?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111205156 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r - 441862 + 442687 = 27*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*x + x. Suppose x*h = -2*h + 10. Find the third derivative of -4*z + 4*z + 2*z**3 - z**h wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/5)\/(k\/(k*k**(2\/11)))*k**(-2\/11)*k**(2\/17))**1)**(-38) assuming k is positive.\nAnswer: k**(-2318\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 64988 divided by 11\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 14*p + 4*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/27)\/(h*h**(-3\/8)*h))\/(h**14\/(h\/(((h\/((h\/(h\/((h*(h\/h**(3\/19))\/h)\/h)))\/h))\/h)\/h)*h)) assuming h is positive.\nAnswer: h**(-56261\/4104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 9 - 0) + (-2 - 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1138, 1137, 1136, 1135?\n\"Answer: -v + 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let s(u) = 3 - 769*u + 769*u - 484*u**2 - 1. Determine s(w(r)).\nAnswer: -484*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {t: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1622*l**4 - 12213 wrt l?\nAnswer: 6488*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*p + 10, 19*p - 20*p + 14 = 2*y. Solve -69*h + 3*a = -74*h - 20, 5*a - y = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*12\/(-38)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 + 2539*c**2 - 129424*c + 248700 = 0. Calculate c.\nAnswer: 2, 50, 2487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -78. Which is the fourth biggest value? (a) -2 (b) 2 (c) -0.2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + a)*(4*a**4 - 5*a**4 + 3*a**4) + 64*a**4 + 17*a - 67*a**4 - 35*a**5 + 40*a**5.\nAnswer: 3*a**5 - 3*a**4 + 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p**2 - p + 105. Let i(m) = -m - 4. Let t be i(-4). What are the prime factors of v(t)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 803*p**2 + 105*p - 5874. Let d(l) = -4*l**2 + 21*l - 1. Let u(q) = -5*d(q) + z(q). Find the first derivative of u(r) wrt r.\nAnswer: 1646*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.013259 - 0.0129. Round l to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 4*f + 1. Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/30 + 6\/9*1526. Let j = -435 + f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32060 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15813*z + 15853*z = 360 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 21. Suppose 0 = -5*q + k*o + 21600, 2*q = 7*q - 5*o - 21600. Let n be 2\/7 + q\/70. Calculate the greatest common factor of 93 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazggzzzga. What is prob of sequence gaaa?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 69 = 117 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -266 + -0.2.\nAnswer: -266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(19) - (sqrt(1216) + -4)))**2 - -3*(-2 + -1 + sqrt(19) + sqrt(19)).\nAnswer: -50*sqrt(19) + 938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -44*y**2 + y + 1. Let n(i) = 45*i - 2116. Let d be n(47). What is o(d)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1420 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282009?\nAnswer: 1282009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 896*d**3 + 888*d**2 - 896*d - 892.\nAnswer: 4*(d - 1)*(d + 1)**2*(d + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 8*z + 11. Let k be q(5). Sort -4, k, 4, -1 in decreasing order.\nAnswer: 4, k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644458198.\nAnswer: 2, 241, 3411739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (19 + -11 + 11 + -11 - -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -7 (b) 0.9 (c) -16 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 3 - 3*k - 1)*(-3 + 1 + 1)*(2066 - 5627 - 1124 + 16157) as t*k + j and give t.\nAnswer: 22944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) 0 (c) -26140 (d) -2\/17 (e) 3\/7 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55 (b) -3 (c) -4\/7 (d) -1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1381 - -1379.931. Let x = 0.069 + f. Let i be ((-1)\/(-18))\/(3\/(-12)). Which is the closest to 1\/3? (a) i (b) x (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (10 - 0) + -9. Let n(h) = 35*h**2 - h + 2. Calculate n(m).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 + 5*o - 28. Let u(v) = -7*v**2 - 6*v + 29. Let j(n) = 6*i(n) + 5*u(n). What is j(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157.7 - -0.583567422\nAnswer: -157.116432578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -721803*x**4 - 243*x - 15950204 wrt x.\nAnswer: -2887212*x**3 - 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4612\/125 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 2*n + 37 + 4*n + n.\nAnswer: 4*n + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1722*r + 439. What is the remainder when c(-1) is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -16, -39, -82, -151, -252, -391, -574?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 2\/9, -2\/3, -41\/4, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-3) - (-12 - -15))*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12 - 1)*(-2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*m + 480 = 488*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 17. Suppose m = -4*p + 16 - 0. Solve 5*c - 21 = p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89548073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1839*b + 1877. Calculate u(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*v = -51, -3*m - v - 54 = 4*v. Let w = 28 + m. Is 16 a factor of 6\/w*8*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 304505282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -34. Solve g = -4*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36393, -68567, -100741?\n\"Answer: -32174*v - 4219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*z**6 + 9*a**3*z**5 + 7*a**3 + 5*a**2*z**2 wrt z.\nAnswer: 120*a**3*z**3 + 540*a**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 43211 divided by 7\nAnswer: 6173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91821853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/13, 2\/7, 67.2, 6, -103?\nAnswer: 67.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116231815.\nAnswer: 5, 7, 3320909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -30 - 110. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - -16.2. Let s = -13 + r. Let x = -0.99 - -1. Which is the nearest to -1? (a) x (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*l = 22, -22 + 14 = 2*p - 2*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3863 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 5*x - 7. Let c be u(-6). Let a(m) = m - 10 + 19 - 10. Let j(b) = b**2 + 5*b - 5. What is c*j(w) + 3*a(w)?\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*s + 42, -2*p - p - 3*s + 36 = 0. Let l(a) = 5*a**2 - 15*a + 11. Let m(g) = -9*g**2 + 29*g - 21. Let o(q) = 7*l(q) + 4*m(q). Determine o(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -0*q + 5*q. Suppose -5*f - 6 + 21 = q. Is 8 a factor of ((-1)\/4)\/(f\/(-276))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 divided by -539?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and 2138.5?\nAnswer: 2138.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v - 152 = 191*v - 104*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4 - (-8 + 11). Which is greater: -16 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*t + 112*t - 485*t + 111*t + 149*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*p + 2*q, 28 - 13 = -228*p + 227*p + 3*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o*v**3 - 7*o*v**2 + 2*o*v + 28361*o - 8*v**4 + 2*v**2 wrt v?\nAnswer: -54*o*v - 14*o - 96*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let m be (16 + -31)*1*-1. Let c = 26 - m. Let b = -1 - -3. Let s(w) = 10*w. What is b*s(n) + c*v(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6888, -6886, -6884, -6882, -6880?\nAnswer: -6878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/(-8))\/(6\/8). Let j be (-2)\/3 + l\/18. Let f(m) = m**2 - 2*m - 35. Let v be f(-5). Solve v - j = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 = 12. Let l be (-93)\/(-4 + 2 - 1). Let c = l + -21. Calculate the remainder when c is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 11. Let c = 7963 + -7968. Sort -4, y, -3, c in descending order.\nAnswer: y, -3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 10:35 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y*(((y*y**0)\/y)\/y)\/y*y)\/y*y)\/y)\/y*y*y\/(y\/((y**(-1\/3)\/y)\/y)))\/(y**(-1)*y)**(2\/53) assuming y is positive.\nAnswer: y**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*l - 5*l + 3*f + 13, 4*f - 1 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1256124.67818 + -1256109. Let n = 15.66 - u. Let g = n + 0.018. Round g to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057178 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 5*w - 14*w + 13*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366 and 4543707?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120366639?\nAnswer: 3, 67, 433, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 - 17*v**4 - 3*v**3 + 805*v**2 - 445*v**2 - 361*v**2 as u*v + i*v**2 + l*v**3 + c*v**4 + q and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 13. Let t be x(7). Let p be ((-3)\/4)\/(t\/4). Find s such that p*s - 5\/4*s**2 - 5\/4*s**3 + 3\/4*s**5 + 5\/4*s**4 + 0 = 0.\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from {z: 1, y: 1, j: 2, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + (8 - (5 + 1) - 14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -5 - 2*y - 1\/2*y**2. Calculate x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2264 + 1194*j - 2264.\nAnswer: 1194*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7882*r + 32353*r + 0.\nAnswer: 24471*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -277*u - 4430. Calculate r(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 4981.\nAnswer: 1\/4981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41406 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*m + 58, -c + 41*m - 39*m = -17. Suppose c*n + 16*n + 246 = 0. Let y(l) = -l**3 - 8*l**2 - 13*l - 13. Determine y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 + (-467 - -483).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18915288 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34937910?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108073 + -8838?\nAnswer: -116911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25029 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 + (0 - -1) - 0) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6853, -32, 1, -5, 5, -1 in descending order.\nAnswer: 5, 1, -1, -5, -32, -6853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12018519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(60)\/sqrt(4)*2)\/sqrt(5).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-18)\/(-6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.3 - -45. Let x = d + 3. Sort 0, -5, x in increasing order.\nAnswer: -5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xmmmmmmx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 6. Let s = -31\/36 + 10\/9. What is the common denominator of s and b\/5 + 488\/(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 4*x = -4*s - 46, 38 = 3*s - 5*x. Solve 0 = -s*l - 5*l - 44 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzdz. What is prob of sequence dh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 935369.1 micrometers?\nAnswer: 0.0009353691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -28. Let h be 10*(-5)\/k*(-90)\/(-12). Let z = h + -17. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -965430 - 1176570 = -306*v. Calculate the greatest common divisor of v and 2520.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 9 = -3, 0*x - 4*x + 15*n + 14 = 8*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/((-12)\/8363409))\/(-24). Let o = 354727\/3 + s. Let c = 2076 - o. Find the common denominator of 137\/6 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/84 - (-400)\/224.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1025 <= -1024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 1. Let i(t) = 2*t**3 - 18*t + 18. Suppose 0*g + 12*g - 48 = 0. Suppose b - 3*k = -g, -5*k + 12 + 0 = b. Determine b*i(s) - 36*m(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1167668*l**2 - 9426568 with respect to l.\nAnswer: 2335336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:30 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298 + -381. Which is smaller: u or 14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*-2*(sqrt(20) + -5 + sqrt(320) + (-1 + sqrt(125) - -4*2*sqrt(5))) + -4))**2.\nAnswer: -52992*sqrt(5) + 390096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -6 in ascending order.\nAnswer: -6, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 16529663?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1859 + -1859. Solve u*s + 0 + 3\/7*s**4 - 6\/7*s**2 - 3\/7*s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q. Let i(j) = -590158*j**2. Give h(i(u)).\nAnswer: 6491738*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13170 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3379 and -5\/327.\nAnswer: 10137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1386540 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 1.065765.\nAnswer: 1.165765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*g + 3*y + 28, 0 = 2*g + y - 88. Suppose 5*t = 4*v - 124, 5*t + g = 2*v - 87. Let x = -25 - t. Solve -5*m = -x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*h - 100*h - 406 = 86*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.87 and 12630511283?\nAnswer: 12630511288.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2230? (a) -0.1 (b) 0.3 (c) -1\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*o - 343 = 0, 5*o - 307 = -u - 2*u. Let g = -57 + u. Suppose 2*m = g - 16. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.045 - -32.045. Let g = 32 + c. Let f = 63.787 - g. What is f rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337\/80, 4, 2\/3, -5\/2 in ascending order.\nAnswer: -5\/2, 2\/3, 4, 337\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405 and 8667.\nAnswer: 43335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -10. Suppose r*m = 2*m + 16. Solve -2*a + 3 = -u, 0 = -a - a + m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.927017*-0.3\nAnswer: 2.3781051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 70 - 10. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 386964657\/476 + -812952. Let p = -39\/28 - h. Which is the nearest to 1? (a) -3 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (-4*sqrt(315) - sqrt(35) - sqrt(35)))\/(sqrt(21)\/(sqrt(3) - (sqrt(3) + -1*sqrt(3)))).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/390128 and -22\/659?\nAnswer: 390128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(108)*1)\/sqrt(9))\/((sqrt(2940) + sqrt(2940) + sqrt(2940) + sqrt(2940) + sqrt(2940)*1)\/((sqrt(150)\/sqrt(3))\/sqrt(5))) + 3.\nAnswer: -4*sqrt(2)\/35 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1286*i**3 - 270*i**2 + 7*i - 4. Let j(x) = 1287*x**3 - 272*x**2 + 10*x - 6. Let q(p) = -2*j(p) + 3*k(p). What is the third derivative of q(z) wrt z?\nAnswer: 7704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 36*m - 430. What is f(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -21. Solve 0 = 4*h + g + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2 - 6*z + 1\/2*z**2. Give q(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 2*n. Suppose n = 20*u - 24*u + 148. Let c = 42 - u. Does c = 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 18 + 14. Suppose -3*x + 5*p = -m, -3*x + 4*p - 2 = -6. Which is the second biggest value? (a) x (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -2885.\nAnswer: 2885.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {l: 1, c: 3, v: 3, y: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8468.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -28*w. Let g(x) = x. Let c(v) = a(v) + 21*g(v). Let d(r) = 5*r**2. Calculate d(c(p)).\nAnswer: 245*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -10*w**6\/3 - 23*w**3\/3 - 5. What is the third derivative of f(i) wrt i?\nAnswer: -1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12022 + 10?\nAnswer: 12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 5. Let m be x(0). Suppose 5*b + 36 = -2*s + 47, 4*s + 5 = -b. What is the second derivative of -19*f**b - m*f + 8*f - 22*f wrt f?\nAnswer: -114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**3 - 21*d**2 - 11*d - 12. Determine x(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 187 + 95 + 7*m)*(465 + 26*m - 465).\nAnswer: 182*m**2 + 156*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -0.4, 1\/3, -2\/2253, -3\/4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103351005 + 2?\nAnswer: 103351011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - -83.\nAnswer: 82.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 925, 938, 969, 1024, 1109, 1230, 1393, 1604?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4743574217.\nAnswer: 47, 59, 1710629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111\/111*4\/(-3*2\/(-9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2) + 21\/42. Suppose -5*k - 10 = 3*h, 2*h + 0*k = c*k + 30. Solve -2*a - 5 - h = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - (-2084)\/(-24))\/((-5)\/(-30)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30854828.\nAnswer: 2, 7713707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 8. Let d be w(-8). Let k be 4 + 1 - (0 + d). Suppose 10 = k*q - 0*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-362)\/912 - 7\/(-28)) + (-132)\/(-1254)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61433 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 10:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 plus 665?\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5013 - 5011. Solve 7*v - 4*v + 13 = -4*b, b = -n*v - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.02665 days in milliseconds?\nAnswer: 1039102560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387449 divided by 5.\nAnswer: 387449\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-112)\/(-336))\/((-3)\/(-36)). Which is the closest to 2\/5? (a) o (b) -2\/215 (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -684, -3, -2, -4 in descending order.\nAnswer: 0, -1, -2, -3, -4, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249079854.\nAnswer: 2, 3, 19, 31, 70481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -780, -2307, -5292, -10221, -17580, -27855?\nAnswer: -41532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 880, 801, 670, 487?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 444290771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 + -250. Let g = 104 + b. Is 12 a factor of (g\/(-12))\/(-1*4\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1631 or 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*m + 162075, 0 = -11*m + 6*m + 2*i + 162075. Let v be ((-6)\/(-7))\/(4\/224). Is v\/108 - m\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 3*a + 2. Let q be -16*(-1)\/2*1. Let k be 22\/8 + 2\/q. Calculate the smallest common multiple of d(k) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -467810403?\nAnswer: -467810400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 47, 63, 85, 113, 147, 187?\n\"Answer: 3*y**2 + y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3923 * -915.\nAnswer: 3589545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000352 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3250783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 449 + -401. Which is bigger: 49 or o?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 335*k**4 + 11*k**2 - 22*k - 17. Let w(c) = 111*c**4 + 4*c**2 - 7*c - 6. Let y(i) = -11*w(i) + 4*z(i). What is the second derivative of y(b) wrt b?\nAnswer: 1428*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5, -33 = -3*p + g - 10. Let q(f) = f - 2 + 1 - 2 + 8. Calculate the remainder when 21 is divided by q(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1658 - 6631\/4. Find m, given that s*m**3 + 0 - 1\/2*m**2 + 1\/2*m**4 + 0*m - 1\/4*m**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**7\/5040 + d**6\/720 - d**5\/15 + d**2. Let i(j) be the third derivative of c(j). Determine i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 42, 62?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3542197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 4, -1\/5, -16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 403*t**2 - 66699*t + 264456514.\nAnswer: 806*t - 66699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/8 - 405\/(-12). Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 6*l - 30 = 0. What is the remainder when 22 is divided by ((-10)\/(-15))\/(2\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -117*g**2 + 12654*g - 1933. What is p(108)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2353 + 16469\/7. Let l be (6\/(-20))\/((-3)\/4). Which is the nearest to l? (a) -4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1175075447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2 and 103\/17530.\nAnswer: 17530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-6\/7)*c*c**(6\/7))\/(c**(-3))**14)**(-23\/5) assuming c is positive.\nAnswer: c**(-1472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-11) + (-27807)\/143. Are -195 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.3. Let q(k) = -k**3 + 7*k**2 + 5*k + 29. Let g be q(8). What is the third smallest value in 3\/7, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h. Let o be -5*(-1)\/((-10)\/(-8)). Let k be z(o). Let f be 22\/3 - 58\/(-87). What is the greatest common factor of k and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498 + -407. Let p = -178 - -114. Let r = u + p. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/33 and -1\/1705563.\nAnswer: 18761193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (186\/(-24))\/((-1)\/(-4)). Let o = 44 + c. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, 1, 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10)\/(8\/(-40)). Let i(o) = -o**3 + o**2 + 3*o. Let w(u) = -u**3 + u**2 + 4*u. Calculate j*i(v) - 4*w(v).\nAnswer: -2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -847*a**2 + 83*a + 4 wrt a?\nAnswer: -1694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13244162 * -0.4.\nAnswer: 5297664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 n when three letters picked without replacement from {z: 4, u: 1, y: 2, q: 1, n: 4, e: 3}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255744380 and 40970?\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332 (base 5) to base 13.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6589121 and 770?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/s)\/s)**8\/(((((s**13\/s)\/s)\/s)\/s)\/(s**(-10)\/s)) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**8\/6720 - y**6\/80 + y**4\/6 + 16*y**2. Let q(c) be the second derivative of d(c). Find the second derivative of q(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0132 times 0.3?\nAnswer: -0.00396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 4) to base 10\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 482268.14 to the nearest 100.\nAnswer: 482300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4*g*(g\/((g\/g**(-2))\/g))\/g)\/(g**(-3)\/g**0)*(g**1)**29\/(g**(3\/5)*g*g*g*g**(-3\/8)\/g*g) assuming g is positive.\nAnswer: g**(991\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0116 + -0.01578. Round m to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 4. Let i be p(3). Suppose -i*o = -5*o + 15. Calculate the remainder when 14 is divided by 5*o\/(75\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4 + 2) - -2. Let d be g + 4\/(-18) + 1288\/(-360). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d4db - -a61?\nAnswer: -c97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 20*y**2 - 50*y - 136. What are the prime factors of s(-17)?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -16*j + 17. List the prime factors of b(-6).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-351)*-6)\/2 + (-2226823)\/(-96603)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/1050*5)\/((-1)\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p - 4*p + 39*p - 30*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1096 (c) -34 (d) -2 (e) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 = 8. Let v(p) = p**2 - p - 2. Let w be v(m). Let n(q) = q**2 - 1. Let d be n(2). Solve 5*t + 5*r + 1 = -w, d*t = r - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266384.\nAnswer: 2, 3, 7, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 18481 = -18371 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 823*z**7\/42 + 221*z**4\/6 + z**2\/2 - 3*z + 26. Find the third derivative of o(k) wrt k.\nAnswer: 49380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 2460*y**2 + 26073600*y + 79788320000.\nAnswer: -(y - 5300)*(y + 3880)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 37*y. Let g be 1*(2 - 2\/2). Is u(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**10\/37800 - g**8\/5040 + 3*g**5\/20 + 8*g**2. Let v(t) be the third derivative of c(t). Suppose v(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from xxxmsssssxsmscmh.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4463124 or -17852499\/4?\nAnswer: -17852499\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 19*u + 8. Let j be c(-5). Suppose -3*k + 2*k + 2 = 0. Suppose -34 = -2*o - 2*b, -17 = -o + k*b + j*b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (12 - (-15 - -14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9.2. Let c = x - 1.2. What is the nearest to 1 in -1, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2012 + -2021?\nAnswer: -4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 372\/17. Suppose -4*i - 7*d - 23 = -12*d, 0 = -3*i - 3*d + 3. Let a be (-7)\/(-10)*-4 + 2. Sort i, a, z.\nAnswer: i, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 0.4.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 0.5. Let z = -1\/80 - 149\/880. What is the nearest to b in z, 3, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 305 = 4*f, 5*f + 2*b - 70 - 294 = 0. Calculate the remainder when f is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u + 47. Calculate t(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(92\/(-24) + 6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - s = -5*s - 19, s - 19 = -4*x. Suppose -x*d + 612 = -363. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*k - 58. Let z be 12\/(-32) + (-641)\/k. Which is smaller: -17 or z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r - 19 + 42 = -31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 2:52 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27698 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + -9 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-124)\/651 + 5\/(140\/8)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)*(0 + -1). Suppose z = -2*q + 3 + 1. Suppose -q*m = -5*m + 339. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/35455 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-152)\/(-176)) - (-57)\/(1197\/2352)\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 + -361082?\nAnswer: -361034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -42, -36?\n\"Answer: 6*j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 176 + 55661?\nAnswer: 55847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -48. Which is the fourth biggest value? (a) -0.5 (b) -0.1 (c) 19 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from dudddldql?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 219, 410, 513, 486, 287, -126, -795, -1762?\n\"Answer: -7*t**3 - 2*t**2 + 246*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -7.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - (sqrt(150)*-2 - sqrt(150))*2)*2)\/(sqrt(192)*-2*6).\nAnswer: -35*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 43816*d + 4. Let g(x) = -x**2. Calculate p(g(f)).\nAnswer: -3*f**4 - 43816*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1153, 527, -99, -725, -1351?\n\"Answer: -626*n + 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 10:21 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 189875557 to the power of 1\/2, to the nearest integer?\nAnswer: 13780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*v**2 - 4 - v**3 - 11729*v**4 + 11730*v**4 + v + 5 in the form g*v + t*v**3 + h*v**2 + j*v**4 + d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 40 = 2*i, 4*i - s + 11 - 55 = 0. Solve c + 2 = -0*j - 4*j, 5*c - i = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-1 + 1)**2 + -1*(sqrt(1377) + 2*sqrt(1377)))*-3.\nAnswer: -4134 + 135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 4 (c) -5 (d) -499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 2*z**2 + 0*z**2)*(-z + 3*z - 4*z) + 74*z**3 - 342*z + 318196 - 318197 - 70*z**3.\nAnswer: 8*z**3 - 342*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-4)\/88). Suppose 5*y - 12 = -4*v, -6 = -4*y + 6*v - d*v. Suppose -12 = p - y*p. Put -0.5, 2, p in descending order.\nAnswer: p, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1989 + 5*p - 42 - 2847 - 1146 - 4*p**2 + p.\nAnswer: -4*p**2 + 6*p - 6024","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 53487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(2\/15)\/f))\/f*f*f**(-2\/19)\/f)**6 assuming f is positive.\nAnswer: f**(1004\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -113*p - 3732. Calculate u(-33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 50*n + 297. What is o(53)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 10*h**2 - 9*h - 1. Let k be m(-9). Let c = 4 - k. Solve c*f - 4*x = 19, -5*x = f + 4 - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:26 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120211202122 - 1?\nAnswer: 2120211202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a = 79*a - 803132 + 181767. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 + 4464*o + 4462 = 0. What is o?\nAnswer: -2231, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 - (-15 + 3 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5081343 is divided by 112913?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a**2. Let r(z) be the second derivative of -z**4\/6 - 5*z. What is d(r(u))?\nAnswer: -56*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001126567 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 42902 = -s, -2*q - 67*s = -63*s - 21442. Calculate the highest common divisor of 330 and q.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105820435261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 4\/7, 27\/1556?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5156*j - 10318*j + 5159*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44720)\/1300)\/((-2)\/160). What is the greatest common factor of 192 and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80.1 + 80.10000217. What is s rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i**4 - 6522*i**3 - 1575672*i**2 - 127253760*i - 84137472 = 0.\nAnswer: -248, -228, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = 8*l - 1179. Calculate the lowest common multiple of 92 and l.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254.22 - 254. Let w = l + 1.78. Which is the third smallest value? (a) 1 (b) -1\/34 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 243*x - 41. Let o be ((-4)\/3)\/(170\/(-24) + 7). Is v(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 118. Let m = x + 25. Let k = -11 - m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36707?\nAnswer: 11, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1454706605.99999892 + 1454706557. Let v = -14 + 63. Let s = q + v. What is s rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 692898?\nAnswer: 1385796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 + 363*m**4 - 6792*m**3 - 253860*m**2 + 2057088*m + 49437696 = 0. What is m?\nAnswer: -133, -16, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 3, 3, 17, 57, 135, 263?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3849 - 5595. Let l = -437 - k. Suppose 4*g = -273 + l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2157 (base 11) to base 13\nAnswer: 13ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(5\/4)*j))\/j)**(-2\/81)*(j\/j**6)**(-1\/2) assuming j is positive.\nAnswer: j**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 326, 757, 1392, 2249?\n\"Answer: 3*i**3 + 75*i**2 - i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b + 12. Let j be (0\/(-2) + -1)*-8. Let x be ((-18)\/j)\/(b\/32). Solve -2 = -o - 4*l - 18, -4*o + x = -3*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*k - 7*k - 16*k)*(1 - 3 - 2).\nAnswer: -176*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2557685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.5, -1\/3 in ascending order.\nAnswer: -15, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6496632281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 9*o + 9. Let x be q(-6). Let f = 56 - x. Find the common denominator of 47\/11 and (2 + 1 + (27 - -3))\/f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -14)\/((-35)\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 7.7.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1334, 2663, 3976, 5267, 6530, 7759, 8948, 10091?\nAnswer: 11182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24003821 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:01 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -15. Let h(k) = -2*k**2 + 31*k + 2035. Let b be h(40). What is the greatest common divisor of b and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**4 + 18*k**3 + 18*k**2 - 14*k - 6. Let v(j) = j**3 + j + 1. Let c = -226 - -227. Let s(w) = c*u(w) - 2*v(w). Find h such that s(h) = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -133531.\nAnswer: -1468841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2*2 - 11. Let h = -5 - a. Solve 3*t = q + h, 3*t - q = 5*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2675*p**4 + 162*p**2 + 2.\nAnswer: 64200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*t = 2*z + 9132, 27*t - 29*t - 8*z = -11*z + 99 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b + 1664542 = 1663990 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 10*t + 1\/2*t**2 - 5. What are the prime factors of i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25762 (base 9) to base 10.\nAnswer: -17390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-22 + 12 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 10 = -8*b, 2*r = 4*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1041 - 12234?\nAnswer: -11143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Suppose a - 7 = -p. Let o(f) = 3*f**3 - 4*f**2 + 3*f + 2. Let s be o(3). Calculate the greatest common divisor of s and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.123513282 and -81.\nAnswer: -81.123513282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 309429, 618893, 928357, 1237821?\n\"Answer: 309464*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a century?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5 + -4*(sqrt(72) + sqrt(72)*-3*2)*1)*4)**2.\nAnswer: 19200*sqrt(2) + 461203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*d - 23099, 5*f + 5*d - 11723 = 11372. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 799434 by -133239.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(432) + 2)**2.\nAnswer: -2616 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46302143 to the power of 1\/2, to the nearest integer?\nAnswer: 6805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*b + 9 = -63, 5*y + 2*b - 105 = 0. Suppose 4*s = 2*s + 770. Suppose -y*t = -14*t - s. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119 and 0.07.\nAnswer: 8.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 8d6?\nAnswer: 8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 187*f**2. Let h be p(-1). Let b = 2 - -1. Suppose -g - 2*v + 7 = b*v, 3*g + v - 49 = 0. What is the highest common factor of g and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281855750*y**5 + 883615261*y?\nAnswer: 5637115000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -2. Let v = -38 + a. Let m = -30 + v. Put m, -0.12, 2\/5 in decreasing order.\nAnswer: m, 2\/5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 + 14*x. Let l(c) = -52019*c + 8 + 2*c**2 + c**2 + 52019*c. What is l(d(k))?\nAnswer: 3*k**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2509 - 2514. What is the nearest to -9\/179 in 5, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77 - 0.87. Which is the nearest to 2\/7? (a) x (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 180 = -3*v. Let x = -94 - -98. What is the least common multiple of x and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27246, -29260, -31272, -33282, -35290, -37296, -39300?\n\"Answer: p**2 - 2017*p - 25230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2. Let i(m) = -19*m**2 + 1. Give l(i(j)).\nAnswer: 2888*j**4 - 304*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3460, -2989, -2518, -2047, -1576?\n\"Answer: 471*p - 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:53 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let l = -96.06 + 95. Let o = -0.06 - l. Sort o, j, 2\/5.\nAnswer: j, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6604612 (base 7) in base 6?\nAnswer: -25154351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1726644930 to the nearest integer?\nAnswer: 41553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 8160 - 8109 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 892.\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-2*l - 1 + 1) - 3*l + 0*l + 5*l + (0 - 3 + 19)*(-3*l + 0*l + 2*l) + (3 - 4 - 1)*(-6*l + 4*l + l).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9278467?\nAnswer: 11, 843497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 9 - (67 + -2). Let b = 133 + i. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 4*l - 2. Let i be q(-3). Suppose -5*z = -i - 14. What is the remainder when 8 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-75) + 6854\/575. Let v = 10 - 6. Calculate the highest common factor of d and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 985256*c**2 - 2841757*c.\nAnswer: 1970512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {m: 9, g: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 10. Let v be n(-4). Let l be (-5 - -3) + v - 3. Let c be 3 - (l + -2) - 3. Solve t = c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100770 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2448 - -26899\/11. Let c = -149\/3 + 323\/6. Calculate the common denominator of c and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (2 - 0))\/((-1)\/2). Suppose g + a = 16, -x*a + 44 = 3*g - 0*a. What is the highest common divisor of 50 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/27 + 38\/3. Suppose -y + i = s, 0 = -2*y - y - 4*s + 36. Suppose -5*n = -n - y. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -24\/799 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 582102 and -0.4.\nAnswer: -232840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose f*m - 20 = -0*z + 4*z, -3*m = z - 7. Solve 0 = 2*c + 6, m*c - c = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485*u + 198*u + 196*u - 1255*u + 182*u + 198*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 96, 142, 184?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from mhimnkh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32830 - 32829.6. What is the nearest to -27 in 4, u, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 5*k + 1. Let v(u) = 2*u**2 + 4*u + 1. What is -2*d(o) + 3*v(o)?\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -15, -24, -33?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 + -192. Calculate the remainder when 19 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -458951 and -4.\nAnswer: -458955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79.999942 - -80. Round c to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 2 + b + 5 - 1. Let i(o) = -2*o + 3. What is the remainder when i(-3) is divided by l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3*s - 2. Let t be u(4). Let o be ((-4)\/3)\/(t\/(-183)). Suppose -k = -3*k + o. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 1509312*t\/13 + 284752839168\/13.\nAnswer: 2*(t + 377328)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41 - (-6 + 0 - -1). Suppose -r*p = -34*p - 3516. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143289 is divided by 1560?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8))**(3\/31)\/((n**(-5)*n)\/((n**(2\/7)*n)\/n)) assuming n is positive.\nAnswer: n**(762\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -303 + 605. List the prime factors of m.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) -2\/5757 (c) 0.05 (d) 52\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**2 + 2*n**2 - 5*n**2 + (-2*n - 2 + 2)*(1 - 1 - n) + n**2 - 4*n**2 + 5*n**2 - 5 + 3*n**2 + 5)*(-n - n + 0*n)*(-4*n**2 + 4*n**2 + 2*n**2).\nAnswer: -56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 c, and 1 e when four letters picked without replacement from mvmveeeveeevemcvc.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034957791 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 + (-320)\/24)*378\/5. Calculate the greatest common divisor of k and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**13*r*r)\/r**(-1\/8))\/((((r\/(r\/r**(-4\/3)*r))\/r)\/r)\/r*r*r*r**17\/r))**(47\/3) assuming r is positive.\nAnswer: r**(2773\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:23 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27271946*m**3 - 18*m**2 - 121*m - 1116 wrt m.\nAnswer: -163631676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-5 + sqrt(252) + sqrt(3087) + 3.\nAnswer: -3*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5428629 + -20?\nAnswer: 5428609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3145, 12590, 28333, 50374, 78713, 113350?\n\"Answer: 3149*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + 4*v**2 - 4*v**2)*(34*v - 141*v - 53*v)*(-v - 2*v - v).\nAnswer: 3200*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + o - 38 = -155, -3*u + 5*o + 351 = 0. Let d = -109 + u. Solve 2*j + n = -3*j - 23, -j + d = -4*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2923 and 2588514.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18312, -37420, -56528?\n\"Answer: -19108*i + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -b + 4*l, 6*b - 2*l = 3*b + 167. What is the remainder when b is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = -3*y. Suppose -3*i - y*r = -4*r - 310, -5*i - 4*r = -505. Suppose -v = -5*m + i, m = -v - 0*v + 27. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - 3*o**2 + o + 2. Let n(h) = -h**3 + h**2 - h - 1. Let v(z) = -n(z) - y(z). Let b be v(1). What are the prime factors of (1 + b)*(-30)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -t + 3, 0 = -4*c + 5*c - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {j: 4, l: 2, t: 2, n: 1, h: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519314728?\nAnswer: 2, 31, 2094011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1834289637 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39382.5 - 39703.906. Let i = p + 0.406. Let o = -321.000000478 - i. Round o to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 18*q + 8. Let j be q\/(-6)*(-11 - -11). What is the fourth biggest value in 2\/11, 1\/4, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4008 and -197\/40470?\nAnswer: 27033960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 27.11. Let j = s - 1.21. Which is the nearest to 2? (a) j (b) -10 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - v = -44, 0*l = -l + 4*v - 6. Calculate the least common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 4:36 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32356164 divided by 3629.\nAnswer: 8916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -0.843724614.\nAnswer: -0.943724614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*l = -64, -l = -h + 3*l - 22. What is the least common multiple of (-7)\/h*(0 + -8) + 9 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122330110 (base 4) in base 13?\nAnswer: 3b2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/60 + 545*y**4\/6 + 727*y**3\/2 + 85*y**2 + 14*y + 1. Let s(o) = 0. What is o?\nAnswer: -1, 2181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, 144, 1\/2304, 0.09?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 2*l - 3. Give g(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3452, -3293, -3132, -2969, -2804, -2637, -2468?\n\"Answer: x**2 + 156*x - 3609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:27 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:58 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 4*c**2 + 4*c + 3. Let j be z(-3). Let x = 3086 + -3086.2. What is the closest to j in x, -2, -17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353 and 885164444?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 52\/21*j**3 + 8\/7*j**2 + 2\/21*j**6 + 15\/7*j**4 + 4\/5*j**5 - 140 + 0*j. Factor v(r).\nAnswer: 4*r*(r + 1)**3*(r + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o + 2*o + o)*(1 + 33 - 4)*(3*o - o - o)*(-4 + 4 - 3*o) to the form h*o + i + a*o**3 + f*o**2 and give a.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (1456\/(-48))\/(0 + (-3)\/567). What is the greatest common factor of y and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*f + 229, -f + 7*j = 6*j - 58. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41348.14ml in litres?\nAnswer: 41.34814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -275.3627864 to 2 dps.\nAnswer: -275.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*h**2 - 2537534*h + 57*h**5 + 2537528*h + 180*h**5 wrt h?\nAnswer: 14220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 4*a + 136, w - 31 = -2*a. Suppose 0 = -5*t + b - 102, -t + 4*b = -3*t - 32. Let g = t + w. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from ppppppeppeppp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7555840 is divided by 702?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from oqqqyoqqv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125411413 - 322?\nAnswer: 125411051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 6*r**2 - 8*r + 11. Let t be i(5). Let p(q) = -4*q + 6. Is p(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 1 + 6*o**4 - 8*o**4 - 1 to the form q*o**3 + n + d*o**2 + s*o + f*o**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let l be (-405)\/(-225) + (-8)\/10. Let t(r) = -5 + 3 + 6*r**2 - 7*r + l - r**k + 4. Give t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 1365852*s.\nAnswer: -4*s*(s - 341463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*w + w. Which is the nearest to 0? (a) 9\/7 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u - 60*u - 76*u = -267*u - 3828 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.8 (b) -0.874 (c) 14 (d) -1\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25316 in -0.15, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-6))\/(2\/8). Let d(n) = n**3 - 9*n**2 + 9*n - 4. Let r(v) = v**3 - 6*v**2 - 6*v - 5. What is the lowest common multiple of d(b) and r(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333573, 1334317, 3002231, 5337315, 8339569, 12008993, 16345587?\nAnswer: 21349351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 168*z**2. Let d(g) = 3*g**2 + 58 - 2*g**2 - 58. Determine d(t(l)).\nAnswer: 28224*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -854 * 0.03.\nAnswer: -25.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-3 + (-81)\/(-28))\/3). Let d be (-8)\/2*(3 - o\/(-8)). Solve 0*s = -5*y + s - d, 0 = 2*y + 5*s - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by -9.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3668599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4582050.6 rounded to the nearest 10000?\nAnswer: -4580000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*x**3 + 3 - 22*x**3 - 2*x**4 - 49252*x**2 + 49256*x**2 - 5 + 7*x**4 to the form v*x + f*x**3 + h + t*x**4 + m*x**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rss when three letters picked without replacement from rsrrrrrrrrrsrrsrrr.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3.8 (b) 1\/3 (c) -10 (d) 4 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5606, -5, -4 in decreasing order.\nAnswer: 5606, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.95236 microseconds in seconds?\nAnswer: 0.00003495236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let x be -1*11 + (-39)\/13. Let i be 40\/x + 9\/(-63). Let o(u) = u**4 - 3*u**2 + 7. Let c(l) = i*a(l) - o(l). Differentiate c(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01474 + -1309274?\nAnswer: -1309271.98526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-14) + (-5 - -7). Which is the smallest value? (a) 0.5 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2) + (9 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*q + 2574, 0 = q + 5*w - 139 - 527. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Let a(o) = o + 1. Let x(n) = -4*a(n) - t(n). Let k be x(-5). Let m = 29 + k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2295.812 times 0.095\nAnswer: 218.10214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 5\/8*m**4 - 1\/42*m**7 + 5\/3*m**3 + 0 - 1\/12*m**5 - 1\/8*m**6 + 5*m + 6*m**2. Determine c, given that q(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -18. Let y be (-3 + r)\/(-2) - -1. Let s be (-8)\/(-14)*y\/(-2). Solve 3*l = -s*u + 3 - 7, 0 = 2*l - 3*u + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f + 10. Let y(c) = c - 47 - 44 + 90. Calculate 2*s(j) + 20*y(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10)*(-1)\/2)\/(75\/(-4500)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652 = 3*o - 2*v, 0 = -2*o - 2*v - 2*v - 456. Let d = o + 227. Solve 0 = d*c + 5 + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1450504143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r - 7. Let j be i(-4). Solve 0 = -j*a, 3*a - 10 + 0 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129869*m**3*p**3 - 2*m**3 - 276094*m**2 + 4*m*p**4 wrt p?\nAnswer: 389607*m**3*p**2 + 16*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 2, n: 3, z: 3, p: 1}. Give prob of sequence xzpn.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12880249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9215545, -18431103, -27646665, -36862231, -46077801?\nAnswer: -55293375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = c - 10, 6 = 5*b + 3*c + c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 23*g + 7. Does 18 divide j(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 265 = 45. Let o = -80 + r. Let c = 22 + o. What is the biggest value in c, -0.03, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164304 + 635?\nAnswer: 165242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*h - 86 + 18, 2*u = -2*h + 32. Solve 7*q - 4*j = 3*q + u, 2*q - 4*j - 18 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x - 1 = r, -3*x - r = 11. Let k be (-2 - 4)*x\/(-3). Let t(u) = u**3 + 29 - 5 + 4*u**2 - 25. What is t(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 377305*g + 4. What is h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-838)\/(-4) + (-5)\/10. Let u = -74 + v. Calculate the greatest common factor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 7*q. Let u(o) = -4*o. Give h(u(z)).\nAnswer: -32*z**2 + 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0.067 (b) 0.4 (c) 409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*c**3*w**2 - 2001*c**3*w - 288*c**2*w**2 + 2*c*w**2 + 10*w + 2 wrt w?\nAnswer: -244*c**3 - 576*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j = 5*j - 60. Factor -2 - 5\/2*o**j + 4*o + 1\/2*o**3.\nAnswer: (o - 2)**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.166 times 3843\nAnswer: -637.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -318, -713, -1266?\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbz when three letters picked without replacement from mziuimcibuzzzub?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 959*u + 93*u - 5547 - 8129 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -449. Suppose -5*y + l = 86. Find the common denominator of -56\/11 and 3 + -1 - y\/32.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 542761023 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:12 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 32 = -k, l - 19 = -0*k - 4*k. Let x be ((-1)\/(-2))\/((-1)\/(-6)). Solve 0 = m + 5*j - 25, 2*m + l + x = 2*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - -0.3. Let v = -0.9 + p. Let k be 8100\/22950 - (-8)\/(-17). What is the closest to -2\/13 in v, k, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 21*j**2 + 71*j + 149. Determine h(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 32*q**2 - 64*q - 16. What is the tens digit of p(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/704 and -37\/17.\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 720, 11\/2 in decreasing order.\nAnswer: 720, 36, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukuo when four letters picked without replacement from {k: 6, o: 4, u: 10}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 + 60*a + 10. Let n be u(15). Let y = 58\/3 - 19. Sort -5\/4, y, n in ascending order.\nAnswer: -5\/4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837*t + 762*t = -1575 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000440523644 rounded to seven decimal places?\nAnswer: -0.0004405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -469, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**1*b*(b\/((b*(b**(-3\/8)*b)\/b)\/b)*b)\/b*b*(b*b**(-2))\/(b*b**(-2\/11))*b*b**3*b**(2\/5)*b\/b**(3\/5)*b*b**(-8) assuming b is positive.\nAnswer: b**(597\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*w - 50*w + 3402 = -70*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose w*i - 356 - 484 = 0. Suppose 0 = -5*u - 4*v + 407, 0 = -5*u + v + i + 112. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 20 = q, -2*t + 5*q - 20 = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365124 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -2*o**3\/21 + o**2\/7 + 24*o\/7 - 94. Factor m(y).\nAnswer: -2*(y - 4)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 25*a + 483. Determine v(-14).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -972.\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r, 0*r = 3*j - 2*r - 2. Suppose -l = j*p + 3*p - 166, l + 32 = p. What is the remainder when 97 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) 10\/39 (c) -2\/3 (d) -0.1 (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + 2*j)*(1 + 3 - 3) + j + 4 - 2 + j.\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*m - 7 = -114*m. Let h = -68 + 20. List the prime factors of (m\/((-3)\/h))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032*-1.31\nAnswer: 0.04192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28710023 to the power of 1\/2, to the nearest integer?\nAnswer: 5358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8234*g - 11071. Let r(m) = -8250*m - 11074. Let c(z) = -10*r(z) + 11*w(z). Find the first derivative of c(u) wrt u.\nAnswer: -8074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**8\/448 + 27*h**7\/280 + 3*h**6\/20 - 13*h**5\/20 + 4*h**2 - 195. Let j(c) = 0. Calculate c.\nAnswer: -26, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**3 + 6*l. Let i(u) = -220*u**3 - 77*u. What is 6*i(m) + 77*w(m)?\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Let a(t) = -3*t - t**3 - 1 + u - 5 - 2*t**2 - 3*t**2. Determine a(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - k = 2*k - 26, 24 = -d - 4*k. Let n be 1 - (-1892)\/14 - d\/(-112). What is the highest common factor of n and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*w - 9, -w + 61 = -x + 58. Solve 21*h - w - 18 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -3020231?\nAnswer: -3020230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 326097\/6*(1 + 885). Let g = -33253657 + p. Round g to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 180\/(-27)*18240\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 14*r + 6 - 5\/3*r**3 - 1\/4*r**4 + 9\/2*r**2. Determine m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/24677640 and 179\/316380?\nAnswer: 24677640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69)\/(-12) + 2\/8. Suppose -5*q - 5 - 5 = 0. Let o = q + i. Calculate the highest common divisor of 16 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -3, -3*y - 18 = -5*x. Let c = y + 1. Solve c = -m - m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8995798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*c + 274*c = 0. Sort -5, c, 32 in descending order.\nAnswer: 32, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*p + 4, 4*q - 7*q = 3*p + 6. Let i be (-8)\/3*(-6)\/4. Suppose 4*f = q*g + 281, -i*f + 231 = 4*g + g. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.65 + -37.85. Let t = b - -38.499821. Round t to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*(-1287)\/(-1386))\/((-2)\/(-4))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2471317, -2471320, -2471323, -2471326?\nAnswer: -2471329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.096 - 0.196. Which is the second biggest value? (a) 1\/6 (b) -1 (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171740 divided by 5.\nAnswer: 34348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42185.15l?\nAnswer: 42185150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(19))*2)**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 29*o - 717. Give z(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 17*u**6\/120 + u**4\/4 - 4*u**2. Find the second derivative of o(x) wrt x.\nAnswer: 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(242) + sqrt(242) + -5 + ((sqrt(242) - 4*(sqrt(242) + -2)) + sqrt(242))**2 + sqrt(242) + -4.\nAnswer: -319*sqrt(2) + 1023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 25*o**3\/3 - 70*o**2 + 115*o - 19. What is x in m(x) = 0?\nAnswer: 1, 23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 - 105 + 2*h - 198)*(-8 + 2 - 4).\nAnswer: -20*h + 920","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 1:00 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(3725\/15 + -4).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*t + 40 = 0, f + 4*t - 8 = t. Let a = -3370 + 3426. Calculate the greatest common divisor of f and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let c(l) be the third derivative of 73*l**5\/60 + 2*l**2 - 612*l. Determine w(c(m)).\nAnswer: -10658*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**3 + 130*l - 130*l.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295 and 2233.\nAnswer: -658735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 2671 + 2597 - 7945 + 2677.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.96396 - 0.03604. What is the closest to -3 in -0.2, 2, 3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*u**3 - 59*u - 290*u**3 + 8 - 6 - 2.\nAnswer: 59*u**3 - 59*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(54*4\/96).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 2 (c) 0 (d) -3 (e) 4\/3 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmyy. Give prob of picking 2 f and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 21. Let k be s(-3). Let b(d) be the second derivative of -4\/3*d**2 - 11\/18*d**4 + 3*d - 14\/9*d**k + 0 - 1\/12*d**5. Factor b(c).\nAnswer: -(c + 2)**2*(5*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5869016 - 5869021 = 5*f, f = -40*g - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddcjay. What is prob of sequence yc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 10, g: 3, t: 2}. Give prob of picking 1 t, 2 z, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46998 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5747 * -0.1.\nAnswer: -574.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3 - 3216*r**2 + 12912*r - 12928 = 0.\nAnswer: -808, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -32*r**3 - 5*r**2 + 93*r + 199. Let z be l(-2). Calculate the highest common divisor of z and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + m - 5. Let v be l(0). Let i(o) = -o**3 - 5*o**2 - 4*o + 7. Is 22 a factor of i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.072 + 5. Let w = -8.972 + 8.9. Let n = l - w. Which is the nearest to -4? (a) 0.2 (b) 2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:12 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 24*f**4 + 221*f**3\/6 + 463*f**2. What is the first derivative of n(s) wrt s?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 5 = 11*a. Solve 2 + a = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0165029865 to five decimal places.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -682, -6.\nAnswer: -682, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = -10. Let k be ((-2)\/(-5))\/(b\/30). Let d(s) = s**2 + 10*s - 14. Is d(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*k - 4 + 1, 0 = 2*q + 2*k. Suppose 7*a - 56 = 91. Let t be q\/(-1)*35\/a. Solve 3*c + r - t*r = -7, 0 = -5*c + r + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l**2 + 2*l - 80. Let n be m(0). Let k = 107 - n. What are the prime factors of k?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 384 = 28*x + 25*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1335, -5363, -12063, -21423, -33431, -48075, -65343?\nAnswer: -85223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 82006*t - 18. Let u be g(3). Round u to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0 + 3 + 3 - 4 + (2 + 0 - 1)*(-4 + 0 + 2) + 63 + 35 + 52)*(-2*j**2 + 3*j - 3*j + (1 + 6 - 1)*(5*j**2 - j**2 - 2*j**2)).\nAnswer: 1490*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51358 + 0*u + 51162 - 2*u to x + h*u and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 5?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106 * -0.16.\nAnswer: 16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**2 - 2575416*q - 414547973316 = 0.\nAnswer: -321927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -30534?\nAnswer: 2\/15267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*f**4 - 135*f**3 + f - 261038.\nAnswer: 92*f**3 - 405*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-1)*(-294)\/(-686). Solve w*h - 20 = 8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let q(h) be the first derivative of 3*h**2\/2 + 2*h - 7. Give -4*g(x) + q(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 6) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y**2 - y - 4. Let s(f) = 257*f**3 - 4*f**2 - 277*f + 24. Let c(z) = 6*d(z) + s(z). Find the second derivative of c(t) wrt t.\nAnswer: 1506*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -570, -11, 72 in decreasing order.\nAnswer: 72, -11, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 4*k - 3. Let n = 2 - -1. Suppose -5*r + n*i + 2*i = 40, 3*i - 15 = 0. Let l(o) = o**2 + o - 1. Determine r*l(w) + y(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 4. Suppose 5*n - 150 = -0*n. Solve -8 = -w + s, 3*w - n = h*s - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2.4 (b) -1\/5 (c) 10\/9 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-8\/7))*r)\/((r\/(r**4\/r))\/r)*r**(1\/15)*r**(-2\/11)\/r assuming r is positive.\nAnswer: r**(3167\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-6))\/((-8)\/24). Let n be r\/5 + 4 + -1. Which is the smallest value? (a) -1\/7 (b) n (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -9295.1\nAnswer: 18590.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/24)\/((3 - 6)\/(-30)). Solve 24 = l + l + 5*d, 5*l + w*d - 30 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03513485355598 - 5?\nAnswer: -4.96486514644402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106330554 and 594?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856 and 1355476?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/4 - -4)*1 + -5. Suppose q = 13*k - 4806 - 2994. Is 63 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((27 - -7) + 11)\/5. Solve f - 3*l + o = 0, -4*l + 18 = -3*f + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036782410078 less than -10?\nAnswer: -9.963217589922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2800*t**4 + 6*t**2 + 6*t + 732. Let i(x) = 3*x**4 + x**2 + x. Let r(a) = 6*i(a) - w(a). What is the derivative of r(s) wrt s?\nAnswer: 11272*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (14\/(-10) - 2))*(-150)\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + 7.31. Let s = -7.0999992 + w. Round s to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1040 - -11282. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1833)\/(-6110))\/(6\/32)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -49*g - 2. Let o(i) = -3*i**2 - 13944*i. Determine o(h(w)).\nAnswer: -7203*w**2 + 682668*w + 27876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -8*w**6\/3 - 31*w**5 - 1495*w**4\/16 + 155*w**3\/3 - 10*w**2 - 861*w - 4. Factor p(k).\nAnswer: -5*(k + 4)**2*(8*k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1662 + 1?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.39 - 96.351. Let x = -112.2 - k. Round x to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 1224750 = -48*p - 56*p. What is p rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110010000100 (base 2) in base 7?\nAnswer: -305433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19332380.\nAnswer: 2, 5, 966619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6397\/6 + 1069. Let f(t) be the second derivative of -13\/12*t**4 + 0*t**2 - t + 0 + a*t**3. What is the second derivative of f(m) wrt m?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6132 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24406 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5974387 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 266, 254, 242, 230?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(48\/45) + 7\/28. Let x be (z\/(-5))\/(1 + 68\/(-60)). Is 3 a factor of 31 + 4\/x*(-6)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*t**2 - 307 + 610 - 297 to w*t**2 + m*t + j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2656184321.\nAnswer: 7, 5851, 64853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/38 and (-844)\/160 - (-3)\/(-5).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2))**47*(x\/x**6)\/x*x**(-4\/3))**(-10))**(-29) assuming x is positive.\nAnswer: x**(-26825\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -106. Is (-2 - 3)\/l + 78 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (4 + -2) - (-1 - 0). Suppose 4*k + r*v - 667 = 0, 0*k - 5*v = k - 188. Suppose -4*y + k - 23 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.435 + -10.565. Let u = -6 + 6. Which is the second biggest value? (a) 1\/5 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (3 - 2 - -2). Suppose m*i - 2 = 7*i. Let u(a) = 10*a**3 - a**2 - 6. Let o(l) = -3*l**3 + 935 - 1876 + 943. Determine i*u(z) - 7*o(z).\nAnswer: z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 215*t**3 + 270*t. Let j(x) = 8*x**3 + 10*x. Let c(u) = -55*j(u) + 2*l(u). What is the second derivative of c(b) wrt b?\nAnswer: -60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 25034?\nAnswer: 25029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -276*o**2\/7 - 4148*o\/7 - 120\/7.\nAnswer: -4*(o + 15)*(69*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4869*k - 31367. Give g(6).\nAnswer: -2153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5925045 <= -5925044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -1, 0.5, 199, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 143992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8449 + 1a2?\nAnswer: 860b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 - 4*k**3 - 31*k - 6*k**2 + 19*k - 4 + 9*k. Give q(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5 = 0, 5*g + 4*j + 694 = 2250. Let w = 374 + g. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m + 19. Let b(j) = -j. Let i(t) = -2*b(t) + o(t). Let p be i(5). Which is bigger: p or -5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*m**2 + 335*m**2 - 99*m**2 - 8*m - 96*m**2 + 8*m - 49*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0477 - -0.2477. What is the third smallest value in d, -0.62, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -23, 27, 105, 217, 369?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3))**(-19) assuming g is positive.\nAnswer: g**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m**2 + 32*m - 15. Determine x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2488 + 2518 + 0 + -3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*z + 5*w + 14, -3*w = -z + 13. Let v = z + 1. Calculate the smallest common multiple of v and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78483 + -39371. Does 138 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18074 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 4*g)*(-g - 2*g + 5*g)*(g - g - g - 1).\nAnswer: 4*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (98*378\/(-7056))\/((-4)\/(-16)*(-33)\/(-6))?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.30707941 - -17.307. What is l rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3381.816783 rounded to the nearest 10?\nAnswer: -3380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-12 - (7 + -8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-276)\/18. Suppose 3*d = -o, 3*p + p - 467 = 3*d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 - 30*q**2 + 89*q + 900 = 0. What is q?\nAnswer: -4, 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -5. Let c = t + 6. Calculate the greatest common divisor of c and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-1107)\/3321)\/((-35)\/21*(-2)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63893316 divided by -12\nAnswer: 5324443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6025 + 2.4285. Let h = s + 0.069. Let z = -3 + h. What is the closest to 0 in z, -3\/5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:36 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 8*k - 8. Let r be l(-6). Let o be (-3)\/(-5) - r\/(-10). What is the second derivative of o - 5*i + i**2 - 1 + 3*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.82 - 4.82. What is the closest to 1 in -1, h, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d**2 + 80*d**2 - 172*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/120 - k**5\/15 + k**4\/3 - k**3\/3 + 2*k**2. Let v = 53 + -59. Is 22 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1180\/7107 - 27\/206. Let t = m + 3\/23. What is the nearest to 0 in -2\/3, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)*1406\/285 - (-4)\/30. Solve i*g + 128 - 158 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 74*h + 7477. Let f be z(-101). Let n(b) be the second derivative of 0*b**2 + 0 - 11\/27*b**f + 1\/54*b**4 - 38*b. Factor n(j).\nAnswer: 2*j*(j - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/20*((-1)\/(-5))\/(371\/(-2968)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 6*g**2 - 5*g**2 + g**2 to the form i*g**2 + b*g + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6751130629 to the nearest integer?\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -281668.58 - -2\nAnswer: -281666.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43.3, 2, 24 in increasing order.\nAnswer: -43.3, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27507 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57329932 is divided by 4409992?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 0, -91059, -4 in increasing order.\nAnswer: -91059, -8, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 31*b + 116. Give c(16).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -11*z + 6*z. Let w(s) = 0*s + 10 + s - z. Let v(o) = o**2 + 4*o - 56. Let n be v(6). Calculate w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*u - 59 - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 47*q**2\/3 - 337*q\/3 + 162 = 0.\nAnswer: 2, 243\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -116\/7 (b) 2 (c) 1898\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*u + 4369 = -112*u + 31*u + 38448 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:20 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52975 and 650?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kxkkxxxx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = 17. Solve o*x = -u + 2*u - 15, 2*x + 4*u = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 18 = -5*b. What is the third derivative of -2*i**6 + 6*i**2 + 3*i**b - 20*i**5 + 20*i**5 wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51826*u**2 + 34390*u**2 + 34399*u**2 - 16962*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**2 - 2*n**2 + 3*n**3 - 6*n**3 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4974*n - 2535. What is a(1)?\nAnswer: 2439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43\/2 + 22. Let s = -17.55 - 0.45. Let p = 17.6 + s. Which is the smallest value? (a) p (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*q - 50*q + 24*q to r*q + h and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywwt when four letters picked without replacement from yywwywtyyw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*l**6*x - 106*l**4*x - 10263*l**2 + x wrt l.\nAnswer: -18480*l**3*x - 2544*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 15*k - 13*k + 288270 = 0. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1242 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066722 rounded to 5 dps?\nAnswer: -0.00667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*r + 27 = 243*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 17. Let i be p(-9). Let n be 2*(-12)\/i - -1*9. Suppose -3*h - n = 0, 0 = -u - 4*u - 3*h + 349. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 179 = 149. Calculate the remainder when 56 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 306, 294, 262, 204?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/8)\/(3*-1))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 5*m)*(-2262*m**3 + 0*m + m + 1672*m**3).\nAnswer: 1180*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 15. Is 7 a factor of s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/24 + 8*o**3\/3 - 2*o**2. Suppose 4 = -2*x, -5*r + 22 - 73 = 3*x. Give g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(68\/(952\/147))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408985011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (9\/(-3))\/(30\/(-20)). Suppose g*t - 11945 = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 5*z - 6680*f + 6675*f - 1, -6*z + 144 = -5*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k - 6. Let d be q(-5). Let r = -0.4 - 2.6. Sort d, r, 1.\nAnswer: r, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 114 = 19*x + x. What is the closest to 1 in -1, x, 1\/15, -0.5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 2*d - 4*d, -2*i = 4*d - 18. Solve -4*r - d*b = -5*r - 10, -5*r + 10 = 5*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 1) + 0 - (23 - -60 - 76).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 193\/10*j - 1\/10*j**2 = 0.\nAnswer: -2, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 - j**4\/6 + 7*j**3\/6 - 5*j**2\/2 - 43*j - 2. Let q be z(2). Solve -5 + q = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -751385*u**3 - u + 354238 wrt u?\nAnswer: -4508310*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 1. Let a be c(3). Let h = a + 6. Solve 0 = h*w + 2*v, 4*v - 1 = w + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: How many minutes are there between 8:55 PM and 6:13 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m - 39 = -4*k, -m = 1. What is the lowest common multiple of 16 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*m. Let z be (m - (1 + -2)) + 14. Suppose -9*j - 17 = -8*j - 5*o, 10 = -2*j + 4*o. Calculate the greatest common divisor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -775184+-0.4\nAnswer: -775184.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 3 + 5 - 3983*i**2.\nAnswer: -3983*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose h*y + n - 53 = -4*n, 4*n - 16 = -y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 1\/117, -0.04, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 54 - 10. What is the second derivative of d*l + l - 19 + 19 + 3*l**4 wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -180511065, -361022131, -541533197, -722044263, -902555329?\n\"Answer: -180511066*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 132*u.\nAnswer: 3*u*(u + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = 5*t, -n = -t - 3*t - 9. Suppose -3*c + 11 = -a, 0 = n*c - 4*c + a - 9. Suppose -r + u = -40, r = -4*u + 30 - c. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxjxjgjjxttvgxvjg. What is prob of sequence xv?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 312138100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 11237.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2169603804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*m*p**2 - 1371*j*m*v - j*p**2*v + m*p - 60*p**2*v + 3*p**2 wrt j.\nAnswer: 2*m*p**2 - 1371*m*v - p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 6. Let g be m(0). Find the third derivative of -f**2 + 3*f**g - 15*f**5 + 15*f**5 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:45 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_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 m(d) = 12*d + 63. Calculate m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Let m be (-2 - (-25)\/(-5))\/(-4 - -5) - -8. Let o(s) = s**2 - 5*s + 55. Determine m*o(r) - 5*w(r).\nAnswer: r**2 + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62052 (base 9) in base 4?\nAnswer: -21332213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*n**6 + 43*f*n**4 + 4*f + 3*n**2 - 1 wrt n.\nAnswer: 240*f*n**3 + 1032*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 14*o**2 + 7. Let u be t(-14). Suppose u*n = 5*n + 166. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 104*d**2 - 1099*d + 1793. Give t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2541)*4 + sqrt(2541) - sqrt(2541))\/(sqrt(18)\/(sqrt(6) + sqrt(6)*-2*-1)).\nAnswer: 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.3 and -4877.069306.\nAnswer: -4874.769306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 13*j + 5*y - 2, 0 = 4*j - 33*y + 15 + 59 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 9, 5, -4 in ascending order.\nAnswer: -4, 5, 9, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**3 + 3*a**3 - a**3 + 2*a in the form g + f*a**3 + w*a**2 + m*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) -1\/7 (c) 34 (d) -259 (e) 35\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 4030?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from kpnppwkkpxknpkwppk?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*q - 2*q**2 - 3 + 60*q - 97*q + 2 to the form l + s*q + o*q**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11\/3))**(-37) assuming v is positive.\nAnswer: v**(407\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + n + (1 + 2*n - 1)*(0 - 3 + 0))*(-5*n**2 + 4*n**2 - n**2).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -49*i + 1146. Determine b(19).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222 - -221.538. Let k = 0.038 - l. Which is the closest to -3? (a) k (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023543 (base 6) to base 8.\nAnswer: -141667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11943994939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 371593656 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2*(5 + -3 - 25). Let c(i) = -5*i - 31. Let f be c(n). What is the greatest common factor of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2930 - -2367. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000223966 to seven dps.\nAnswer: 0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*o**4 - 546*o**3 + 682*o**2 - 156*o = 0. What is o?\nAnswer: 0, 3\/10, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-882)\/300 - (-3 + 0). Let k = o + -163\/1050. Is 1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6 + 82*q + 0 - 83*q. Let z(a) = -a - 5. Let m(t) = t**2 + t + 5. Let d be m(0). Let w(f) = d*b(f) - 6*z(f). Let r(u) = -4*u**2. Calculate w(r(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4*y**2 + 22*y - 15. Let n be q(10). Suppose n = 2*f + 3*f. Let s = f + -69. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 14*v - 2*v)*(-8 + 6 + 13).\nAnswer: -187*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -2*c**2 + 19\/10*c**5 + 2*c - 6 - 23\/6*c**3 + 1\/8*c**4 + 7\/12*c**6. Find x, given that u(x) = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 3307920?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let l(a) be the second derivative of a**5\/30 + a**2\/2 + 2*a. Let f(x) be the first derivative of l(x). Calculate f(y(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7518020 and 37\/120.\nAnswer: 45108120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = 0, -2*a + 5*f + 265 = -104. Suppose -1213 = -6*c + a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 11. Let s be p(-8). Suppose s*u - 4*r = -45, 0 = -u + r - 8 - 2. Let z(h) = -10*h + h**3 + 2*h**2 + 2*h**2 - 7 + 4*h. Calculate z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/2)*z**(-2)*((z*(z*z\/z**(1\/2))\/z*z)\/z)**(-9\/5) assuming z is positive.\nAnswer: z**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*163263.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 399678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7402 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(57\/(-9) - -7). Suppose -20*j - 15 = -23*j, -3*m + y*j + 403 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.98, 1, 0, -2\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -153*w + 1683. Let l be a(11). Factor 1\/3*r**3 + 0 - 1\/3*r + l*r**2.\nAnswer: r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -53, -63, -57, -29, 27, 117?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 2. Let d be (-4)\/4*w - -116. Let p = d - 81. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 5. Let v be k(-7). Suppose -6*g + g - 25 = 0. Let i(s) be the first derivative of -3*s**2\/2 - 4. Let x(u) = u. Give g*x(t) + v*i(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 31*z - 45. Determine b(-7).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3035302 (base 7) to base 3\nAnswer: 200101120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*n + 32 = 268*n - 135*n + 3*m, -2*n + 2*m - 32 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55018 - 0.05018. What is the second biggest value in o, -5\/3, 1\/5, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -51*h + h**2 - 82*h + 7 + 120*h. Suppose -36 = -2*a - 5*w, 3*a + 5*w + 0*w = 49. Let x be d(a). Calculate the greatest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45 and 12794.\nAnswer: 12839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Let i be 1*3 - (1 + -3). Suppose -31 = -4*p + i. Solve 5*n = p + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 + 248 + (1 - 35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:08 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9838298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 15*f - 2*v - 6 = 0, f - 5*v - 15 = 0. Solve f = q - 2*k + 2, 0 = 30*q - 27*q - 2*k + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q - 4. Let w(v) = -15*v + 8. Let d(y) = -5*s(y) - 2*w(y). Let i(t) = 5*t - 4. Let m(l) = -5*d(l) - 4*i(l). Differentiate m(x) with respect to x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 9*b - 16. Let j be r(-7). Put j, 2, 5 in descending order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:00 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187\/186 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4260.94434 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 2. Let s be g(-4). Let n(b) = 5 - b**2 + 11*b - s*b - 3 - 4. Suppose 2*m - 11 = -1. Give n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 1. Let o(u) = 6*u - 5. Let c = 148 - 168. Give c*t(d) + 4*o(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + 18 - 51 - 15*m + 33. Let b(f) = -f. Calculate 16*b(h) - k(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106115.2 centuries to millennia.\nAnswer: 10611.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*p = p + 27, -2*p = 4*f + 36. Let j be f*(-2 + 2\/3). Let b = -1 + j. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, u: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3. Suppose -v + 0 - 1 = 0. Let k(q) = 2*q + 88. Let x be k(-37). Let m(p) = -8 + x - p - 7. Determine v*l(n) - 3*m(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 9 = -4*w - 3*l, -5*w + l + 3 = 0. Suppose w*k + 12 = -2*k. Calculate the lowest common multiple of (-6 + -15)*k\/7 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -81388?\nAnswer: 81401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - 0.2. Let h = t - -3.05. Let m = h + -3.003. Round m to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 22369728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u = -65*u + 24*u + 80 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 16) to base 4\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 4*w - w)*(7 - 4 + 1 + (-4 + 7 + 2)*(-3 - 6 + 2)).\nAnswer: -310*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1 - (-8 + 13))*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Let j be c(3). Let n be 8\/(-50)*8400\/(-1600). Is n bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f - 88*f = -3*g - 23, 9*g + f = -4. Sort 102, -2, -6, g in ascending order.\nAnswer: -6, -2, g, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/6 + 37*k**3\/6 - 51*k**2\/2 + 130*k - 5. Calculate o(18).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/((r**(5\/6)*r)\/r))\/((r**(-2\/9)\/r)\/r**8) assuming r is positive.\nAnswer: r**(223\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14118 or 14123?\nAnswer: 14118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from aaaaaaaaaalalllaaal?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*b - 81*b + 46*b + 69*b.\nAnswer: -56*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/11379?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8755521t in grams?\nAnswer: 875552.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -32*n**2. Suppose 2*b - 1 - 3 = 0. Let q(k) = 4*k - 2*k - b*k - k. What is w(q(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*9\/(-6)*(-1)\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 5, o: 9, x: 1}. Give prob of picking 2 m and 1 x.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 26775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176394.\nAnswer: 2, 3, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b + 9*b + 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -85683339 divided by -197883\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4556*j**2 + 4*j**3 - 25*j**3 + 1181*j - 3*j**5 - 4563*j**2 wrt j?\nAnswer: -60*j**3 - 126*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7136, -14268, -21400?\n\"Answer: -7132*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 30.6. Let l = 29.7 - j. Let u = l - -0.3. Which is the nearest to -1? (a) u (b) -2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -40 + -19 - 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 231. Let r = -39 + x. Let h = r + -84.7. What is h rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2596217, 5192419, 7788617, 10384811, 12981001, 15577187, 18173369?\nAnswer: 20769547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -345*f**2*p - 2*f**2 + 5*f - p**3 - 9 wrt p?\nAnswer: -345*f**2 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 181835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**3 + 1)*(-7*b + 5*b - 2*b + 2).\nAnswer: -8*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 8 + 7\/2*m**2 + 2*m. What is the first derivative of t(u) wrt u?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 + 6*t**2 - 6*t. Let b(z) = -z**3 + z**2 - z - 1. Let u(i) = 4*b(i) - n(i). Let f = 0 - 3. Calculate u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1582088 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 9*k**2 + 22*k - 6. Let d be b(11). Let l be (90\/(-4))\/(-3)*(-32)\/d. Suppose -4*y = -83 - 317. What is the greatest common divisor of y and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/9 - 5*v**4\/3 - 4*v**3\/3 + 133*v**2\/9 + 4*v - 28 = 0?\nAnswer: -2, 3\/2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:17 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18360 and 107\/198.\nAnswer: 201960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4553 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + -50.9. Let d = 62 + a. Let m = 3.64 - 3.64. Is d < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 1\/9, 1\/1979 in decreasing order.\nAnswer: 8, 5, 1\/9, 1\/1979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3467825 (base 10) to base 2.\nAnswer: 1101001110101000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3 + 11 + 5 + 36*k**2 + 6*k**3 - 12*k**4 - 22 - 4*k**3 + 15*k = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**48\/(n*(n*n**(2\/5))\/n)**(14\/5))\/((n*n**(-1\/2))\/((n\/(n*n**5\/n))\/n*n))**44 assuming n is positive.\nAnswer: n**(-2648\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 118 - 29 + 61 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 44. What is the third derivative of 11*j**2 + 0*j**4 + x*j**2 - 2*j**4 + 6*j**4 wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4057726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 3*v = 0, y = -5*u + 3*v + 1 + 4. Differentiate -6 + 3 + 0 + 4*d**4 - u with respect to d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6114*c + 5598. Determine a(1).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/403 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, -2\/5, 0.13, 14, 2\/5 in increasing order.\nAnswer: -2\/5, 2\/49, 0.13, 2\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y - 2)*((-2*y - 2*y + 3*y)*(2 - 1 - 2) + y - 5*y + y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -158*m. Let d(v) be the second derivative of 0*v**3 - 27 + 3*v + 0*v**2 + 1\/6*v**4. What is t(d(x))?\nAnswer: -316*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*c = 6*s + 11, 0 = -2*c + 10. Find the second derivative of 2*b**2 + 7*b**s - 7*b**2 - 7*b + 3*b**2 wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 289 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 16*w - 4*y = -30319, 4*w - 5*y = 40415. Calculate the highest common factor of 860 and w.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1365165801 - -2.1\nAnswer: 1365165803.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 16*y**2 + 2*y + 49. Determine b(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206.5 - 206. Let u = -2.4 + -0.6. Let t = -0.1 - -0.1. Which is the nearest to t? (a) l (b) -2\/15 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7007965*v**3 - 86098509.\nAnswer: -21023895*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - z. Let g = z + 4. Differentiate -g*s + s + 0*s - 4 + 2*s with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 738*n + 1042*n - 1 + 830*n as l + w*n and give w.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -47\/5. Let z(q) = -q**2 + 3. Let r be z(2). Which is the second biggest value? (a) r (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-1965)*2\/(-85). Let c = n - 354077\/53448. What is the common denominator of -40\/11 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49586.1 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/22411050 and -77\/4482210?\nAnswer: 22411050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-26 + 11 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - ((sqrt(72)*2 + sqrt(72) - sqrt(72)) + -4)) + 3 + 1*sqrt(72) + -5)*-2)**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*k + 775, -3 = -4*k + 5*k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let w = 34 + -38. What is the smallest value in -1, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 1283, 2892, 5145, 8042?\nAnswer: 11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -140011003?\nAnswer: 140010444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15979.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18180273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i + 5. Let t(x) = x + 2 + 2 - 3 + 3. Let q(m) = m + 3. Determine i*t(d) + 4*q(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**7\/189 - q**6\/27 + q**5\/45 + 5*q**4\/27 - q**3\/27 - 5*q**2\/9 - 62*q - 1. Determine m, given that g(m) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 104*m + 146. Give b(-4).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, -3, 14, -5 in descending order.\nAnswer: 14, -3, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -143650 divided by 85\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16183, -13578, -10973, -8368, -5763?\nAnswer: -3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4969 - -2189. Let c = 4150 + p. Suppose -11*y = -9*y - c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - l**2 + 2*l + 3. Suppose 1 = f + 3. Determine w(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1313733983132 - 0.4.\nAnswer: 1313733983131.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.8595 or -3\/5?\nAnswer: 9.8595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5644658 is divided by 404?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 5, 10, 9.\nAnswer: 5, 9, 10, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 7*h**2 + h + 1. Suppose -8*z - 28 = -12*z. Let y be l(z). What is the highest common divisor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 7*i**2 + 5*i + 5. Let c be u(-6). Suppose -4*r + 164 = 4*x, -5*x - c = r - 6*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1099\/(-1256))\/(1 - (-50)\/(-16)*1 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 467*n + 3*n**2 - 949*n + 482*n - 4*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 691 - 623. Suppose 2919 = -w*u + 75*u. What is the remainder when u is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32467 is divided by 387.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -3*k - 2*b + 3*b, 56 = k + 3*b. Let o = k - 31. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1198586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*-4 - sqrt(102)) + sqrt(102))*3)\/(sqrt(72)\/sqrt(108)) + (1*sqrt(119)*5 + sqrt(119) + sqrt(119))\/(sqrt(252) + -4*sqrt(252)).\nAnswer: -655*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0 + 0 - u)*(2 + 1 - 1).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 36 + -24 - (2 + 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2674 (b) 0.3 (c) -0.2 (d) -2\/13 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.1425148 days?\nAnswer: 205.221312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 76268*n**3 + 724197018*n**2 + 55369805320*n + 1054122960200 = 0 for n.\nAnswer: -38, 19105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 5*b**2 - 5*b + 5. Let i(p) = p**3 + p**2 + p - 1. Suppose -2 = -26*m + 28*m. Calculate m*z(r) - 5*i(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*r**4 + 6*r**4 - 2173*r**2 - r + 2236*r**2 wrt r.\nAnswer: 552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n + 33. Let k be p(-5). Suppose -k*w + 5*w - 521 = l, 0 = 5*w - 3*l - 1300. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159*f**2 - 48.\nAnswer: -318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by -4.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(133)*3 - sqrt(133)) + sqrt(133))*-6*-2)\/(((sqrt(98) + 1*sqrt(98))\/sqrt(7))\/(sqrt(242) + 2*sqrt(242))).\nAnswer: -1782*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(189)\/sqrt(3) - sqrt(63))**2 + 0 + sqrt(175)*-6 + 6*sqrt(14)\/sqrt(2)).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/18031993 and -89\/349288.\nAnswer: 144255944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -177, -7, -3 in decreasing order.\nAnswer: 5, -3, -7, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(71 + -73).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55387975499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 20. Suppose 0 = n*t - 14 + 4. Suppose r + t*c = 4*r + 690008, -12 = -3*c. What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80406955 to the power of 1\/2, to the nearest integer?\nAnswer: 8967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19675125?\nAnswer: 3, 5, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/(2 - 5). Let w = -92 - -181\/2. What is the biggest value in w, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.5, -0.17, 62\/5, 4\/3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:43 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - h**2 - 2*h**2 - h**3 + h**4 in the form a + n*h**2 + g*h + w*h**4 + r*h**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 454385 = 6*q - q, 0 = 4*c + 2*q - 363508. Suppose 18*d + d - c = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 117 + 227. What is r rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 0*t**2 + 0*t**3 - 1\/4*t**4 + 6*t + 1. Calculate the lowest common multiple of j(0) and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -1602*b + 1617*b. Let i(m) = -5*m**3 - 3*m**2 - 3*m - 1. What is the remainder when i(-3) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 2*c**2 - c**3 + 12*c - c**2 + 7. What is the smallest common multiple of l(-6) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/12)\/(8\/12). Let c be 4\/s + ((-10)\/(-5) - -1). Let p(o) = -o**3 + 4*o**2 + 4*o + 7. What is p(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 17*p**2 - 25*p - 140. Calculate h(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1463642, 2927281, 4390924, 5854571, 7318222?\nAnswer: 8781877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -13. Calculate the common denominator of 79\/6 and ((-54)\/5)\/(0 + i).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121347238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517.1 - 520.1. What is the second smallest value in 2\/129, l, -7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from mlmmaammaammla.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-251)\/1506 + ((26\/84)\/1 - -2)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -w - 1, f - 3*w + 0 + 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24839311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 - -141. Let n = -79.270473 + 0.286873. Let x = a - n. What is x rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 11\/5)*(-1360)\/(-72). Is f greater than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(-2\/85)*(t**(-3\/5))**(-15))**(-28) assuming t is positive.\nAnswer: t**(-107212\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/301422 and 131\/54804.\nAnswer: 602844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 5*d**2 - 57*d - 44. Let o be a(6). Let b(h) = 2*h + 2 - 9 - 4 - 3. What is b(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1, 2*v - 768 + 505 = -5*z. Is v bigger than 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*k + 1666 + 15079 = -10363 + 5778 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50741011)\/6 + -2 + (-12)\/(-72). Let x = 2286837 + b. What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (99970\/18 - (-4)\/36) a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -3, -3701\/35677?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 7, d: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41504 (base 6) to base 14\nAnswer: 206c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 - 444234.47185?\nAnswer: -444234.60185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 4*f**2 - 5*f + 3. Let m be z(5). Suppose m*t = 2*p - 30, -3*p + t + 35 = -t. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-7)\/5)\/((-474)\/395).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(171))*1 + 5)**2 - (1*-1*sqrt(931)*-2)**2.\nAnswer: -3528 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*b = 9745, 19*a - 14*a - 2*b = 9703. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.878562 nanoseconds?\nAnswer: 0.000007878562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -358 + 1753*x - 350 + 708 to the form f*x + a and give f.\nAnswer: 1753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*f**3 - f - 4746 with respect to f.\nAnswer: -288*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 7*u**2 - 864592*u + 123513 = 0.\nAnswer: 1\/7, 123513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 405 = 67*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**4 + 1. Let a(u) = 17*u**4 + 24*u - 3. Let s(n) = a(n) + 3*y(n). Find the second derivative of s(c) wrt c.\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*z + 99 + 146 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644359807 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)*m**(4\/17)*m*m*m assuming m is positive.\nAnswer: m**(423\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9)*0\/(-3). Suppose q = -5*o + 3*y + 26, 2*y + 14 - 6 = o. Solve 2*z + o*i - 5*i = 3, 5*i - 9 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2850710 rounded to the nearest 1000?\nAnswer: -2851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 11*t**2 + 14*t - 6. Calculate the remainder when 52 is divided by a(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3 + 3 - 5*q + 3*q + 4*q + (2 + 0 + 0)*(0*q + 5*q - 4*q))*(-2*q + 4*q - 59 + 71)*(-3*q + 4*q + 2*q).\nAnswer: 12*q**3 + 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/(2\/(-4)). Let x(a) = 2*a**3 - 9 - 2*a + 2*a**2 - 2 + 10. Let y(l) = -4*l**3 - 5*l**2 + 5*l + 3. Give f*x(r) - 2*y(r).\nAnswer: -2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8581171*y**2 + 5*y + 31615?\nAnswer: -17162342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 less than 717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 427*m - 137?\nAnswer: 427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 68\/537 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 48, 73, 100, 129, 160, 193?\n\"Answer: p**2 + 20*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*l - 8 = 0, -5*j + l + 4 = -l. Suppose j = 4*r - 6*r + 46. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(50))**2 + sqrt(2) + sqrt(600)\/sqrt(12) + 4*(-2*sqrt(2) + -2 - (-2 + 1 + sqrt(2)))**2.\nAnswer: 30*sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -1. Let q = -5.7 - k. Suppose -2*s + 4 = 3*v, 9*s + v + 3 = 4*s. Which is the fourth smallest value? (a) -0.5 (b) 1\/6 (c) s (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 40551, -0.5, 2.8 in decreasing order.\nAnswer: 40551, 71, 2.8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5909\/742 - 19\/106. Suppose -4*r + 16 + 4 = 0. Calculate the common denominator of ((-526)\/(-104) - r)*-2*14 and f.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -10*i + 52. Suppose 58 - 68 = -i*f. Solve s - 3*h = f, 5*s + 2 - 12 = 5*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -7*c + 68 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.80438 to 2 decimal places.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + (-4 - (-6 + 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 - (3 + 1). Let y be (-2)\/n + 24\/(-35). Let b be (-20)\/(-3) + -3 + 4\/(-6). What is the biggest value in y, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -44*a + 128. Let t(v) = -15*v + 42. Let z(m) = -16*t(m) + 5*u(m). What is the tens digit of z(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 18*c**2 - 62*c + 8. Let m be v(-20). Let j = -444 + m. Solve -11 - 4 = -o + j*x, 20 = -5*o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609752.\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n + 24*n**2 - 14*n**2 + 0*n wrt n.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-5)*(-5)\/2. Let o be (2 - i - 2) + 2. Let r = o - -6. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25 - 8*h - 31 + 94 - 36. Calculate m(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 8*p**2 - 2*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263867589*a**2*b**2 - a**2*b + 5*a*b - a + 3649*b + 2 wrt b.\nAnswer: -527735178*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f + -325b?\nAnswer: -32fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2017 (base 13) to base 6\nAnswer: -32234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 3097*h + 3094*h - 12, 0 = 9*c + 4*h + 62 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 1036*i**2 + 29430*i = 0.\nAnswer: -545, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/16 and 109\/144940?\nAnswer: 579760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0424618 micrograms in kilograms?\nAnswer: 0.0000000000424618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8410*o - 8407*o + 4*l - 17, 5*l - 16 = -3*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 590859 + 225141. What is f rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 24 = 10 + 10, 0 = 2*m + 10*r - 10 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3\/4 (c) -0.37 (d) 21\/11 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v + 11295 = 0. Suppose 4*q - v = -j, 3*q + 6*j = 2*j + 1678. Factor -q*w**3 - 1483*w**4 + 233*w**4 + 32 + 160*w - 434*w**3.\nAnswer: -2*(5*w - 2)*(5*w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 + 4100*w**4 + 711456*w**3 - 376034400*w**2 - 96315480000*w + 3322053000000 = 0.\nAnswer: -450, 31, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 2, e: 12, c: 2}. Give prob of sequence ccd.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11781*o - 6330*o - 51730 = 6190*o for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-12)*4*3. Let w(k) = 4*k**2 - 2*k - 1. Let h be w(-1). Suppose -5*g + 36 = -14. Solve -3*b = 5*p - g, 0 = -i*b - h*p + 5 + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 34. Is 17 a factor of (v\/(-10))\/(4\/(-590))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*o, 0*o + 24 = 5*n - o. Suppose 0 = -2*z + p + 121, n*p = 3*p + 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -122, -497, -1122, -1997, -3122?\n\"Answer: -125*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10 + 0*s - 2*s**2 + 4*s + 4*s**2 - 6*s. Let z be c(7). Let v = z + 30. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 + s - 2. Let z be p(3). Let y be (11 - (-6 - -3)) + z. Let w = 24 - y. Solve 3*f = -2*o - w, -13 = 3*o - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5487 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - s**4 + 0*s**3 - 2*s - 5*s**4 + 2*s + (1 + s - 1)*(-7*s**3 + 2*s - 2*s).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2663.3412 months to decades.\nAnswer: 22.19451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121002, -242005, -363008?\nAnswer: -484011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80266 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 205001452 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572028817*y - 261246303*y - 31140203*y.\nAnswer: -864415323*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + k - k + 4*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 124936*-2\nAnswer: -249872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1737*y + 120 = 1757*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-2)*197720\/15.\nAnswer: 2, 3, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1062 and 12567?\nAnswer: 75402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10209 - 6069 = 90*z for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.09 times -0.2?\nAnswer: 0.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 6. Suppose 0 = w + 2*w + 6. Let g be (-18 - -25) + w + 0. What is the smallest common multiple of m(g) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - f**2 - 2*f - 1. What is h(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44991649 is divided by 550?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pddk when four letters picked without replacement from {p: 3, k: 16, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -267 + 210 + 84 + -1 + -44\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 q when four letters picked without replacement from {r: 4, q: 5, v: 2, l: 1, x: 2}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.058336+-456.46\nAnswer: -456.401664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002868 rounded to 7 decimal places?\nAnswer: -0.0000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 10*v + 168. Suppose -a = 7 - v. Calculate the remainder when 84 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20040 = 22*z - 62398 + 5020. Is z a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = -614 - 1366. Let v be 8\/18*14 + 20\/c. Put 1\/10, 1\/8, v in decreasing order.\nAnswer: v, 1\/8, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13078738?\nAnswer: 2, 6539369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 5. Suppose w + 6 = o. Suppose -4*y + 2*y - 2*d + 66 = 0, -4*d = -2*y + 54. Calculate the remainder when y is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1529637 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/6*270\/(-360).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1772 - -3050. What is the common denominator of 1131\/(-494) + 15\/3 and x\/(-168) - (-2)\/(-8)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/14)\/(m\/m**(-18)) assuming m is positive.\nAnswer: m**(-269\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -413*f + 416*f + 4, -4*f = -4*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-one quarters of a kilometer?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*i - 11, 3*i - 2*g - 25 = -15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 1. Let v(y) = y - 3. Let m be v(u). Suppose k + 20 = m*k. What is the smallest common multiple of 12 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 33*t**3 - 7*t**2 + 7. Let n(q) = 17*q**3 - 4*q**2 + 4. Give -5*n(x) + 3*z(x).\nAnswer: 14*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.4. Let h(v) be the first derivative of v**4\/4 + v**3 - 5*v**2\/2 - 11*v + 11. Let g be h(-3). Sort g, s, 0.1 in ascending order.\nAnswer: 0.1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 3*w, -5*w - 2 + 8 = o. Let g(y) = -y + 14. Let j be g(11). Let s be j\/40 - 1\/5. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6 - 465*r**5 + 6*r**3 + 2*r**2 - 8229*r?\nAnswer: 120*r**3 - 27900*r**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(5760)*-1)\/sqrt(8).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -4 - 3) + -3 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 36 - (-692 - -758).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2. What is h(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.5, 2\/5, 0.09, 15, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3. Let u(r) = -r**2 + r - 10. Let d(z) = 7*k(z) - 2*u(z). Let p be d(2). Let l = -5 - -8. Solve -4*t + 8 = 4*s, -s + t + p*t = l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:42 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kztqu. What is prob of sequence qk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -381, -371, -345, -297, -221, -111, 39, 235?\n\"Answer: s**3 + 2*s**2 - 3*s - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30651 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368 - -1015. Suppose 5*p = -2*m - a + 2229, -4*m = -4. Does 55 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12031 (base 4) in base 3?\nAnswer: 112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z + 548*z - 302 + 1165 = -2187 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137806 = 28*x - 4320438. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7647997 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.559 in -1\/2, -10, 1, 0.28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 16*c**2 + 13*c + 17. Suppose 98 = 31*v - 367. Calculate x(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 7*b**2 - 8*b - 8. Suppose 6*j - 5*j + 6 = 0. Let f be m(j). Solve 9 = 4*s - z, -s - 3 = -f*z + 2*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 + -232. Suppose -25 = 5*n, 2*n - 23 = -2*x + p. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 7*n + 4 = 3*n, 12 = -4*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 2*m - 4. Suppose -74 = -5*d + 3*d. Calculate the remainder when d is divided by z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q + 251*q**2 + 155*q**2 + 2*q - 21*q + 5*q**3 - q**4 as o + v*q + m*q**3 + j*q**4 + d*q**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -4873?\nAnswer: -4872.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(396)) - (sqrt(396) - (-3 + -2*sqrt(396))**2)) + 0.\nAnswer: 78*sqrt(11) + 1595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 111. Let c be u(-24). Suppose 0 = -58*z + c*z. Solve -2*t + 5*x = z, -4*x = -2*t - 0*x + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/3 - 10*m**3\/3 + 4*m**2 + 24*m = 0. What is m?\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgg when three letters picked without replacement from bgmosmmgmo?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -19*j - 1. Let m(d) = -5*d**2 + 12. Let s(w) = 14*w**2 - 34. Let o(u) = 17*m(u) + 6*s(u). Give g(o(c)).\nAnswer: 19*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 3. Let s = 7 + -6. Let w be -2 + 3 + -6 + s. Calculate the remainder when 49 is divided by d(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.1892mg in nanograms?\nAnswer: 164189200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*p + 6*p**3 - 3*p**2 - 33*p + p**2 + 67*p in the form g*p + w*p**2 + k + s*p**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101111001011101101010 (base 2) to base 7.\nAnswer: 66535562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8454*y - 555 = 8491*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3502*f**2 + 8*f + 9. Let v be d(-1). Let h = -2447 + v. Is 48 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = 4*b. Suppose b*k = 5*k + 5. Sort 3, 2, k in decreasing order.\nAnswer: 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/20*(-83)\/(-395). Let t = -1\/79 + j. Let m = 1.3 - 0.3. What is the closest to m in 2, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/30 + 2)\/((-4)\/(-70)) + 28\/(-280).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6143358 is divided by 10758.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5\/6, -6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/442710 and 67\/3394110.\nAnswer: 10182330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -1\/6*f**4 - 1\/60*f**5 + 0*f + 5\/6*f**3 + 0 - 3*f**2. Suppose 115 = -185*j + 162*j. Calculate v(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h**(-2\/9)))\/h))\/h*h)**(1\/6)*(h*h**(-10))**(1\/4) assuming h is positive.\nAnswer: h**(-211\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:12 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-28) + ((-93880)\/(-56) - (1 + -6)). Calculate the greatest common factor of m and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-2)\/(-40)). Suppose -f = f - m. Suppose 6 + 4 = 3*o - t, -t = -f*o + 16. What is the remainder when 5 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -11353312?\nAnswer: -11353322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -2\/3, 2\/29, -451 in descending order.\nAnswer: 2\/29, -2\/11, -2\/3, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367978 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 690887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 521964 and 8910.\nAnswer: 28708020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40555 divided by -47.\nAnswer: 40555\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-21) + (-57)\/(-21). Suppose -4*m + 20 = 5*b - b, 4*m + 1 = a*b. Let x(h) = 18*h + 1. Is x(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33479, -33477, -33473, -33467, -33459, -33449?\n\"Answer: k**2 - k - 33479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240066863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:24 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 - 2*c - 1. Let q be -1*(-1 + 1 - 1). Let l be 10 - (q - (-2 + 1)). Suppose -3*j - l = -j. Determine w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/180 - 5*u**4\/36 + 219*u**2. What is c in o(c) = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b - 163. What is d(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334000 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77)*-1 - sqrt(77)) - sqrt(77))\/(sqrt(28)\/sqrt(16)).\nAnswer: -26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, m: 1}. What is prob of sequence qq?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 72\/11, -14?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*r**6 - 56*g**3*r - g**2*r**2 + 4*g*r**2 - 334*r**4 wrt r.\nAnswer: 360*g**3*r**3 - 8016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 22983495.\nAnswer: -2298349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 2457 = -52. Sort i, -3, -7.\nAnswer: -7, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*i + 3*c - 21, -4 = 3*i - 5*c. Suppose -3*f = -16 - i. Let v be f\/(-8) - 45\/(-12). Solve -1 - 5 = -v*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6055*k + 781740. Give l(132).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - m - 1. Let q(n) = -5*n**2 - 6*n - 3. Suppose -2*v - 4 = z - 0, -2*z = -v + 3. What is v*q(h) + 3*x(h)?\nAnswer: 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b + 0*b - 2*b**2 - 2*b - 12*b - b**2 as x*b + q + u*b**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3 - 1\/2*w**2 + w. Let s(a) = -a**2 - 12*a + 130. Let h be s(-19). Let j(f) = -2. Calculate h*r(p) - 2*j(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -m - 4*m. Let p = -35 + 63. Suppose 0 = -p*t + 24*t + m. Let h(s) = -2*s**3 + 1. Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.146? (a) -1\/2 (b) -1 (c) -1\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -77*b**4\/24 + 7*b**3\/6 - 47*b**2. What is the units digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/5? (a) 1\/2 (b) 0 (c) 1 (d) 10416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.44 less than -0.03?\nAnswer: 48.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -103*q**4\/4 - 104*q**2 - 2*q + 416. Differentiate d(h) wrt h.\nAnswer: -618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/48)\/(5\/(-60)*76 + 6). What is the fifth smallest value in -6, -3, 6, -4\/3, r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355*c + 374*c = -38. Sort -88, c, 1.\nAnswer: -88, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 5*k**2 - 2*k + 12. Let p be r(5). Let f(j) = -j**3 - 18*j**2 - 65*j - 250. Let v be f(-14). Is p > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 5*c + 4.\nAnswer: (c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*r + 19 + 149 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3275832 - 743*g + 3275832.\nAnswer: -743*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4416058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*q - 60 = -118*q. Let z(x) = 16*x**2 + 15*x + 5. Let n(d) = 39*d**2 + 36*d + 12. Let u(f) = q*z(f) + 5*n(f). Let v(i) = -57*i**2. Calculate u(v(o)).\nAnswer: 9747*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((w*(w*w**(1\/3))\/w)\/w)\/w)*w*w))\/(w**(2\/3)\/w))\/(w**5*w**(1\/5)) assuming w is positive.\nAnswer: w**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113326 is divided by 7554?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2 - 0. Which is the third biggest value? (a) -2\/3 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/9*(-12)\/8 - 1. Let o be 114*(1 + 8\/s). Let v be (-3 - (0 + 118\/o)) + 0. Is -1\/2 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 1. Let z be j(-1). Let u(i) = i**3. Let r(n) = -n**3 + 2*n**2. Let q be 42\/(-27) - 100\/225. Determine q*u(t) + z*r(t).\nAnswer: -3*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367286?\nAnswer: 2, 227, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w\/w**(-14\/9)))**15 assuming w is positive.\nAnswer: w**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpwdww. Give prob of picking 1 p and 3 w.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 295b3f8 - 1?\nAnswer: 295b3f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.54 and 0.0353.\nAnswer: -0.266162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**3 - 7*k**2 + 3*k + 11. Let m(v) = 3*v**3 + 3*v**2 - v - 5. Let n = -192 + 199. What is n*m(b) + 3*y(b)?\nAnswer: 3*b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 891790, 891774, 891758, 891742, 891726?\n\"Answer: -16*s + 891806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 2*s - 7*x - 88, 0 = -x. What is the smallest common multiple of s and 620?\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*q - 7, -4*q = -3 - 1. Suppose 2*b + 50 = 2*v + l, -104 = -5*v + b. Calculate the remainder when 54 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.246542 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 59574 and 377 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 122. Suppose -b = -4*y, j + 3*y = 6*j + 504. Let c = 283 + j. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 410, 616?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 w when three letters picked without replacement from {g: 7, o: 3, j: 3, c: 4, w: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*f - 27 - 8, 2*l = 5*f + 97. Let y = 42 - l. Let a = 307 - 301. Solve -5*u + a = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16*d - 197. Let t be w(-14). Let a(g) = -2*g - 3. Let j be a(-11). Let n = 23 - j. Solve 0 = -q + 2*q - s, 5*q + n*s + t = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102*m**3*n - 10*m**3 + 3*m**2*n + 39*m**2 wrt n?\nAnswer: 102*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7531883.\nAnswer: 53, 142111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 5*l + 274*t - 276*t, -2*l = -t + 50 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*d + 704 = 920 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from bbmjfja.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/42 (b) 2\/7 (c) -1 (d) -0.0184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*v = 2061*s - 1961*s + 4620, 5*v + 204 = -4*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -52, -72, -92, -112?\n\"Answer: -20*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2)*(0 - -2). Suppose -3*p - 2 = 4. Let m be ((-108)\/(-2))\/(p\/(-1)). What is the highest common factor of m and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**2\/2 + 6*k - 1. Let y be o(-3). Suppose -12 = y*r - 0*r. Put 5, r, -2 in ascending order.\nAnswer: r, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4616, -4635, -4644, -4637, -4608?\n\"Answer: t**3 - t**2 - 23*t - 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53636423?\nAnswer: 6983, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -4.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 856 - 850. Suppose 4*n - 5 = 3*g - i*g, 3*n - 35 = 4*g. Solve -n*k - 7 - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 - 96*k - 326. Give v(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 447.9903mm?\nAnswer: 0.0004479903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.96 times -0.3\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 3}. What is prob of sequence mkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*i**4*j + i**3 - 2*i**2 + 133*i*j + 6*j - 1 wrt i.\nAnswer: -2196*i**2*j + 6*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 11*s**2 - 25*s + 13. Let r be x(8). Suppose -r*c - 3*z + 8*z = -270, -306 = -5*c - 4*z. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 1. Let v(o) = o**3 - 4*o**2 - 3*o - 1. Let p(f) = v(f) + 2*y(f). Determine p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9658*n + 148 + 457 = 9603*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/17)*((h\/(h*h**(-2\/11)))\/h)\/h*(((h\/(h**(3\/5)\/h*h))\/h)\/h)**17)**4 assuming h is positive.\nAnswer: h**(-107868\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 2*g - 1. Let v(d) = 37*d**2 - 13*d + 6. Give 6*r(x) + v(x).\nAnswer: 49*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 92 (b) 3\/8 (c) 1\/1703\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvmv when four letters picked without replacement from {m: 13, v: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.021 - 10.879. Let u = 12 + b. What is u rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 63*m - 1859. What is z(10)?\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33023 + -32997. Let m = -2.7 + -0.3. Which is the fourth biggest value? (a) m (b) 6\/11 (c) 0.5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*a**3 + 67*a**2 + 51*a**3 - 67*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 5*x, 0 = x + 5*q + 4 + 18. Suppose x*m = -2*m + 5, j - 567 = -3*m. Let h = -1187\/2 + j. What is the common denominator of -107\/20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = -7*h + 8*h, 2*k + 396 = -107*h - 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*a**2 + 440*a**2 + 84*a**2 + 645*a**2 to n*a + g*a**2 + o and give g.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*q - 5*q**2 + 22*q - q**2 + 19*q**2 to the form c*q**2 + g*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/15 - 4*m**3\/5 + 8*m**2\/5 - 16*m\/15 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1691004028.\nAnswer: 2, 7, 19, 673, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114363 is divided by 12697.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.475353km?\nAnswer: 647535.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16770 + 18366. What are the prime factors of u?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14835248.3+-0.3\nAnswer: 14835248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1956*i + 1. Let x(p) = 7*p**2. What is x(l(o))?\nAnswer: 26781552*o**2 - 27384*o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 + 2*a - 19. Let v(u) = -2*u**3 + 6*u**2 + 3*u - 16. Determine -4*o(t) + 3*v(t).\nAnswer: -2*t**3 - 2*t**2 + t + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16465610152 - -1?\nAnswer: -16465610151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (735\/63)\/(20\/(-60))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 2:18 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*m - 102*m - 35 = -5*p, -13 = -p - 2*m. Solve -7 = p*f + 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*b + 15 = 0, -4*s - 17*b - 24 = -21*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225651762 to the power of 1\/4, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + -4 - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28.5? (a) -3 (b) -2\/115 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-45) - 6)\/((-8)\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/((-3)\/24). Calculate the greatest common factor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55463?\nAnswer: 37, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 468, 379, 304, 249, 220, 223?\n\"Answer: p**3 + p**2 - 99*p + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -18\/25 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 + -90. Let d = 33 + -62. Let i = w + d. What is the remainder when 28 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, q: 1, c: 2, i: 1, r: 2}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -132940 to the nearest one thousand.\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/187, -0.02, -1\/3 in decreasing order.\nAnswer: -0.02, -8\/187, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.52 + 87.49. What is g rounded to one dp?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 13) to base 14.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14867 + -14799. Suppose 4*h + 3*t - 56 = 0, -76 = -4*h + 4*t - 2*t. What is the highest common divisor of h and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55b716 (base 12) in base 3?\nAnswer: 2120111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from xjxxjxjzxztxj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7164459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00554033 to four dps.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:22 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 1958.\nAnswer: -10, 5, 1958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3647835641 to the nearest integer?\nAnswer: 60397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6529*v**3 - 1 + v + 4*v - 5*v.\nAnswer: -6529*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 36, 0.2, 94\/3, 2\/3, -21\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12499434 is divided by 164?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, -4, -9 in decreasing order.\nAnswer: 23, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:19 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let q be u(4). Suppose 2*h = -2*a - q, 5*h + a = h - 26. Let v = 41 + h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.051483476 and -0.04?\nAnswer: 0.00205933904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -2, -46, 65 in descending order.\nAnswer: 65, 4, -1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/1175, 116, 5?\nAnswer: -6\/1175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/12 - (-38)\/3. Suppose -y = -35 + n. Suppose -l = 3*d - 76 + 17, 2*l = -d + y. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*v + 32 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*q + 384 - 192 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 289 + 99 = 0. Let z = i + 84. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 + 207. Let r = 14 - 10. Suppose 2*o + i = 3*u - 22, r*u - 19 = 5*o. Calculate the smallest common multiple of 5 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.9131ml to litres.\nAnswer: 0.0469131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3, 4\/9 in decreasing order.\nAnswer: 3, 4\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-4)*(-17552)\/(-3291).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 7)*(-1)\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 3 = 3*g. Let j be (-6)\/(-4)*(g - 1). What are the prime factors of (j\/9)\/(1\/(-33))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 126*n - 126*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2981 + -2980. Suppose -a + 4 = 3. What is the greatest common divisor of a and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = j + 4*h, -5*h - 3 = 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468))**2 - (sqrt(13) + (sqrt(1573) - (2 + sqrt(1573)))**2).\nAnswer: 11*sqrt(13) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 33. Let i be 5\/q*(-9)\/12. Is -0.2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 510\/45 + 2\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 114 = -r + 3*o, 0 = 4*r - 2*o - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/40 - -977\/680. Let r = o - 86\/85. Factor -8\/15*j**3 + 0*j**2 + 2\/15 + r*j.\nAnswer: -2*(j - 1)*(2*j + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -2571, -3836, -5101?\nAnswer: -6366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/8, 2\/9, 2, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 1. What is the common denominator of -24\/11 and (-1)\/r + (-257)\/40?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 14 - 2 = 0. Suppose 2*s + 0*h = -h + 7, 0 = -s + 5*h - z. Solve 1 = -4*m - s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:39 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 0.54336.\nAnswer: 1.54336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1006 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + x**4 - 3*x**4 + (-5*x**3 - 6*x**2 + 6*x**2)*(3*x + 5*x + 0*x + (-2 + 2 + 2)*(0*x - 4*x + 2*x) - 4*x + 5*x - 3*x).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3646 and -47\/9115?\nAnswer: 18230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -265, -397, -529?\n\"Answer: -132*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2929969, -2929947, -2929925, -2929903?\nAnswer: -2929881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96495\/4 - -24124. What is the fourth biggest value in -273, -0.07, -0.1, w?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 76?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 8.05, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58108 less than -59031?\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19965 to three dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -111 (b) 0 (c) -3\/4 (d) 0.5 (e) -3033 (f) -2 (g) -18\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.04, -18\/5, -5, 50, 5, -1?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*x + 14969 = 3*c, 3*c - 2*x = 8979. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1626, 1317, 822, 45, -1110, -2739, -4938, -7803?\nAnswer: -11430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92825345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9802 and 3?\nAnswer: -29406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 300*v**2 - 13293*v - 147906.\nAnswer: -(v + 18)*(v + 33)*(v + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6717653\/220 - -30535. Let l = 2\/55 + h. Let u = -1177\/9 + 131. Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (2 - 3) - 0) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 11120021110?\nAnswer: 11120021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k + 1. Let s be b(-1). Calculate the greatest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 32. Suppose -114 = -5*s + 2*m, 2*m - 8 + 2 = 0. Let g = s - -11. Calculate the greatest common divisor of f and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -41392*g**2 + 2 - 41397*g**2 + 82790*g**2. Let q(s) = -s. Give w(q(n)).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11929, -22, -9 in decreasing order.\nAnswer: 2, -9, -22, -11929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1379 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*d**3 + 254*d**2 - 170*d + 36 = 0. Calculate d.\nAnswer: 9\/20, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.8 (b) 0.02 (c) 5\/2 (d) 97 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 790, 810, 852, 922, 1026?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 16. Let u be (-4*y\/(-2))\/2. Solve 0 = -3*d - 2*h - 1, -u = 5*d - 3*h + 4*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 + 34*j**4*y + 2*j**3*y - 3*j**2*y + 9*j**2 + y wrt j.\nAnswer: 60*j**2 + 816*j*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809369672?\nAnswer: 2, 37, 719, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33 times 64\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1675086 and 133.\nAnswer: -1674953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 2042*k**3 - 5761*k**2 + 20725208*k wrt k.\nAnswer: -12*k**2 + 12252*k - 11522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145944 divided by 18?\nAnswer: 8108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-2)*(222\/(-66) + 3). Solve -5*l = u*o, -l - 7 = -2*l + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 + 12*n = 0. Calculate n.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**11)**(-2\/15) assuming y is positive.\nAnswer: y**(-11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -12, 5 in ascending order.\nAnswer: -12, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052\/1841*(-6)\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.5, -1945, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 3356951172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 30. Let y be w(-15). Suppose y = -6*f + 9023 + 31795. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2033810 to the nearest 10000.\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 4*q. Let i(w) = w + 2. Let m be i(q). Suppose 6*p - m*p - 160 = 0. Calculate the remainder when 199 is divided by p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442595671 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 1 = 139. Let k(t) = -4*t + 33. Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:33 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4871152 and -113\/2574.\nAnswer: 43840368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 11*d + 8. Let i be b(-6). Suppose i*q = 41*q. Find c such that 3*c**4 + 0*c - 2*c**2 - c**4 + 2*c**3 - 2*c + q*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0 + 1\/8*v**4 + 7\/40*v**6 + 0*v**3 - 30*v**2 + 0*v**5 + 0*v. Find the second derivative of k(m) wrt m.\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525725345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4333 + 4571. Solve -20 = -l*t + 228*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5899 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20 = 0, -14*r + 10 = 15*r - 19*r + 2*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**4*d)\/d*d))**4*d**17*d*d**(2\/19)*d assuming d is positive.\nAnswer: d**(-17\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - -21003032011?\nAnswer: 21003032211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f. Let k(v) = -v**2 - 10*v - 28. Calculate k(g(r)).\nAnswer: -169*r**2 - 130*r - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5720275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onnj when four letters picked without replacement from nnrjjrojjtr.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -9.8. Let p = -87923.1968 + 87927.39679949. Let d = p + i. What is d rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14409 is divided by 702.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17898)\/190)\/(-157))\/(-2 + (-3 - 0))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 + 2*j**2 - 2*j**2 in the form o + i*j + d*j**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 689 and 14999.\nAnswer: 194987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -465 + 468. Suppose 16 = f*k - r, k + 0*r = -4*r - 12. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3540 and 61\/3540?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x + 4, b + 2*x + 8 = 0. Suppose 0 = -2*h + 3*h + 5, -h = -2*n + 297. Suppose b = -142*f + n*f - 4628. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 165996*q + 5809857. Determine z(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 24, 4, -36, -102, -200, -336?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or 215.98?\nAnswer: 215.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -133301?\nAnswer: -133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*b - 5, -5*y - 7 = b - 18. Let j(k) = -k**2 + k + 1. Let w(c) = 9*c**2 - 4*c - 8. What is b*w(z) + 6*j(z)?\nAnswer: 3*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j + 1\/3*j**3 - 1\/120*j**6 + 0 + 18*j**2 - 1\/12*j**5 + 5\/24*j**4. Give n(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/(-114))\/((-14)\/9 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2714 (b) 1.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1052*u**7\/105 + 1175*u**3\/6 + 167*u**2 + u. Differentiate d(l) wrt l.\nAnswer: -8416*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 51*w - 11. Suppose -10*u + 7*u - 5*t + 64 = 0, 0 = 5*u + 4*t - 85. Let y be r(u). Solve -y*p - 4*b = 4 - 2, -4*b - 37 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + 5.6. Let b = c - 6.8. Let p = -96 + 96.4. What is the closest to -2\/3 in 2, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Suppose p - 7 = x, 3*x = z*p + 5*x - 1. Suppose o = p*o. Solve -r - 2 = -o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*1*(sqrt(270) + -3*sqrt(270) + sqrt(270) + sqrt(270)))\/(sqrt(40)\/sqrt(36) + sqrt(10)*2*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -42*j - 388 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 50*m - 3. Let f(g) = 3*g. Determine b(f(u)).\nAnswer: 150*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -12*p - 12. Let u(a) = -8*a**2 + 6*a. Calculate u(l(h)).\nAnswer: -1152*h**2 - 2376*h - 1224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d111cc - -2?\nAnswer: -d111ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*105\/(-14). Let l(p) = -24*p - 2. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(2736)) + sqrt(2736))**2.\nAnswer: -720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117225228 is divided by 29306307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 799 = -3*a, 0 = -2*a + 5*i + 543 - 33. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*v + 2*w + 12, 4 = w. Let l = v + -16. Let h(j) = -j**2 - 8*j - 5. Let b be h(l). Solve 5 = b*d - d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(468) + (5 + -2*sqrt(468))**2)*6*3.\nAnswer: -68292 + 4104*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-24) - (25\/8 + -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/8 - (-12)\/24. Put 27, 5, n in ascending order.\nAnswer: n, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = 102. Let d be 4\/(-18) - 550\/q. Let u = d - -39. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32848, -65852, -98818, -131740, -164612, -197428, -230182?\n\"Answer: q**3 + 13*q**2 - 33050*q + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23.32 >= -26985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13741, 54549, 122553, 217747, 340125, 489681, 666409, 870303?\n\"Answer: -x**3 + 13604*x**2 + 3*x + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 2264373.\nAnswer: 249081.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -3) + 6 + 14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 8*v**2 + 2. Let o be q(8). Suppose o*z = -z + 168. Let a = 311 + z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**3 - 76*c**3 + 173*c**3 + 154*c**3.\nAnswer: 305*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, h: 7}. What is prob of sequence zhzh?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/(-186)*15\/4*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -455 - -184. Let v = h - -267. Let i(t) = 2*t. What is i(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 67*n**3 + n**2 - 2*n + 1. Let b be -1*(-2)\/4*2. Is h(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/11 + 196*m\/11 + 18 = 0 for m.\nAnswer: -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + -11 + 5 + 154\/(-12) and -37\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0073553384 rounded to six decimal places?\nAnswer: 0.007355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, m: 2}. What is prob of sequence mmh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 1106, 2488, 4422?\nAnswer: 6908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 2*b**2 + 4*b + 4. What is the tens digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/4)\/(-10))\/(10\/25).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176862?\nAnswer: 2, 3, 7, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhrrdqrqq. What is prob of sequence qhhq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 + 7*g**2 + 3*g + 80. Determine o(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 2*x - 4*x. Let s be (-4)\/6*45\/(-6). Is q(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 35. Suppose -8*s - 7 = -d. Solve -2*l + s*o - 8 = 8, o - 16 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -4. Suppose -a = -5*m - 0. Is (2 - m)\/3 - -6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144640 and 16384.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18762 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grpdnrfdf. What is prob of picking 1 d and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*i + 20*b**2 + 12*b*i - b wrt i.\nAnswer: b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from iiiiiiqiiqiiiinn.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fomm when four letters picked without replacement from lkmwofo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/42*7*(8\/(-65))\/4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-741)\/26)\/19)\/((-3)\/4). Let v(j) = -1 - 1 + 0 + 2*j. What is v(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87180 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:41 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16 = -2*a, 3*a - 45*u + 41*u - 24 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - l - l, 0 = 2*v + l. Suppose -4*z + v + 4 = 0. Solve 0 = -3*g - 2 - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*(-2 + -2*sqrt(162)))**2 - (6*(-2 + sqrt(200) - sqrt(200)))**2*-4).\nAnswer: 2592*sqrt(2) + 24046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/10 - 9*d**2\/10 + 2*d - 6\/5 = 0 for d.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 9, g: 8}. Give prob of picking 2 g.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816890 is divided by 748.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -25. Let a be (-40)\/12*36\/k. Suppose -2*n = -a + 2. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-1)\/sqrt(12) + (sqrt(1274) - 3*sqrt(1274)) + sqrt(26))\/((2*sqrt(896))\/(-1*sqrt(252) + sqrt(252) - sqrt(252))).\nAnswer: 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 539 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183296520 by -666.\nAnswer: -275220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 32*p**5\/25 + 248*p**4\/15 + 1001*p**3\/15 + 121*p**2 + p - 3. Determine j so that i(j) = 0.\nAnswer: -5, -11\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 10*j + 9. Let d be k(9). Suppose 5*q - 38 + 13 = d. Solve 0 = -3*x + 3*i - 3, -q*x - i + 9 + 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - t**2 + 3*t**2 + t**2 = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5631, 5731, 5831, 5931, 6031?\nAnswer: 6131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 8223084*z\/5 - 8452388808882\/5.\nAnswer: -2*(z + 2055771)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -23, 23, -0.4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 134848.0776 to the nearest ten.\nAnswer: 134850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713312 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14616*p**2 + 1351*p + 2697. What is the thousands digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/1091661?\nAnswer: 7\/1091661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + k - 9 = 0, 16 = 257*k - 253*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 320, 321, 322, 323?\n\"Answer: i + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**2 + 18*f + 1. Let j be u(-2). Let z(n) = n**3 - 8*n**2 - 8*n - 20. Determine z(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + (-78895)\/93. Let b = c + 3453. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(-119*c + 49*c + 105*c)*(2 - 4 + 4)*(-c + 15 - 15).\nAnswer: -280*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a678 (base 13) in base 14?\nAnswer: 5b3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1*-3)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 295490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 586517652 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -210400022140?\nAnswer: -210400022140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 334 = 2*m - 2*l, -5*m + 5*l = -825. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Suppose -7*p + 4 = -3. Sort -5, p, r in descending order.\nAnswer: p, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6574, -13140, -19706, -26272, -32838, -39404?\n\"Answer: -6566*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b - 5 = 0. Suppose 8 = 3*v - 2*y, v - 5*v = -y - 19. What is the least common multiple of (-22)\/v*-1 - (-2)\/(-3) and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -49. Put q, -1, 5 in descending order.\nAnswer: 5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 18) + -24 + (-60 - (-3 + -2 + 2))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-14))\/(4\/28). Suppose 2*m = -m + 4*a + 216, -148 = -f*m + 4*a. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*k**4 + 31*k - 36*k + 2*k**5 + 11*k**2 - 59*k**4 wrt k.\nAnswer: 120*k**2 - 600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*z + 16. Suppose -12*v + 9*v = 12. What is the tens digit of z*(-1)\/v*-55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -7190815323?\nAnswer: 7190815322.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -87196\/1155 at most -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3992.3 - -3992. Let y = -233\/4 - -58. Let o = -2.02 - -0.02. What is the closest to -0.1 in y, o, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5231781197 + 183796?\nAnswer: -5231597401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-10))\/((828\/90)\/(-23))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02428 in 13, 3, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 7 - 3*b**2 - 9 - b**4 + 2 to the form r*b**3 + h + g*b**2 + o*b**4 + j*b and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. What is the first derivative of p**4 + 1 - 2 - b*p**4 + 4*p**4 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106068112?\nAnswer: 2, 31, 213847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 77. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -373434 at most as big as -373488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3773 and -2.25?\nAnswer: 3775.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/13, -22\/119, -5.\nAnswer: -5, -22\/119, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30771383567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 98*i**3 + 6*i**2 - 5*i + 3. Let t(c) = -2*c**2 + c - 1. Calculate -j(o) - 3*t(o).\nAnswer: -98*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.9, -2\/9, -1, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 185? (a) -15\/7 (b) 1\/7 (c) -1\/2 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + q + 0 = 8, -u - 16 = 5*q. What is the least common multiple of u and (60\/(-42))\/((-2)\/(-14)) - -185?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571294.2 litres to millilitres.\nAnswer: 571294200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 35183710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 + 205. What is the highest common factor of 9 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*d - 15 = 0, 9*u + 697*d - 11 = 695*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - ((-14)\/(-1) - -8))\/(2\/2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1296 = d + 5942, 2 = d. What is the greatest common divisor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -21, 0.303, -0.5 in descending order.\nAnswer: 0.303, -3\/11, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26718331 by -6.\nAnswer: 26718331\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - f - 26. Let r be j(0). Let a = 54 + r. Suppose 2*u - 19*w = -24*w - 5, 5*u - 75 = 5*w. Calculate the remainder when a is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = -5*b + 1900, 0 = 2*b - 3*y - 760. Let t = b + -204. Calculate the least common multiple of 18 and t.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 6. Let h = -13 - -16. Let g be n(h). Let v(c) = -4*c - 5. List the prime factors of v(g).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (40 + -36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:31 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*3 + 2\/(4 + -6). What is the second derivative of 29 + 0*u - l*u + 53*u**2 + 3*u - 13 wrt u?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-4 - (-6 + 3)). Suppose z + 3*v - 148 = 0, 3*z + v = -t*v + 456. Let s = 419 - z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3\/2 (b) -2 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 170113.3 centuries?\nAnswer: 204135960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35738401.\nAnswer: 331, 107971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(1200\/30)*(-2)\/(-2)*-29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 6. Give u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 4336*c + 1175056.\nAnswer: 4*(c + 542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o**5\/2 - 62477*o**4\/2 - 2211251*o**3 - 39714336*o**2 - 3762288*o = 0 for o.\nAnswer: -2903, -36, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18280, -73099, -164450, -292321, -456700, -657575, -894934?\nAnswer: -1168765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 4*z - 6*z + 37 = 0, -5*u - 2*z = 35 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 185577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -455*r + 30. Let x be y(8). Let o be 17041\/(1 - (-3615)\/x). Let v = -3203602 - o. What is v rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:43 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2.2 (c) -81\/8 (d) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwqqw. Give prob of sequence wq.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372 is divided by 399\/(-114)*6\/1*26\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -1\/3*h**2 + h - 2\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3082 and 750314441.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -181, 25, -128?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555, -577, -599, -621?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1440, 1444, 1458, 1488, 1540?\n\"Answer: b**3 - b**2 + 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from {d: 3, m: 5, r: 6, b: 3, z: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -185*k - 8. Let u(f) = 62*f + 3. Let b(o) = -17*u(o) - 6*v(o). Let d = 193 + -189. Is b(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120201 (base 4) in base 16?\nAnswer: 3621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 120. Let m be q(-28). Suppose -m*t - 32 = -40. Solve 0 = 3*h + 10 - t, -h = 4*n - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 34. Let r(x) = 2*x**3 - x**2 + 2*x + 2. Let a be r(f). Calculate the greatest common factor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {w: 4, e: 2, b: 1, v: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*17*5\/35 - 3. Let j(w) = w**2 - 8*w + 9. Let f be j(6). What is the second biggest value in v, f, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2517066 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 2*(2 - 0). Let t(w) = -4. Suppose 0 = 3*o - j - 7, -2*o + 3*j + 3 = -4. Let x(i) = -2 - i - 5 + o. Determine d*x(q) + 3*t(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -133208 divided by 2?\nAnswer: -66604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4105*z**3 + 1657 - 10382 + 5100 with respect to z.\nAnswer: 12315*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.07 - -5.17. What is the nearest to b in -0.05, 1.8, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 + -62. Suppose 3*d + 5*r = 6*d - f, d = -2*r + 34. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841910 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/7 - 1660*k**3\/7 + 294834*k**2\/7 + 2941520*k + 43959776 = 0. Calculate k.\nAnswer: -28, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 s when three letters picked without replacement from {m: 2, i: 4, l: 3, s: 6}?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.3. Let o = 137 - 142. What is the third smallest value in -4, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 z when four letters picked without replacement from {h: 2, p: 1, z: 4, m: 4, q: 3, i: 6}?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 3*a - 0*a, a = -3*j + 32. Let m = 49\/9 + 91\/18. Let b = j - m. Are b and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-25)*g)\/(g*g**(3\/17)))\/(g**7)**(-41))**(-2\/31) assuming g is positive.\nAnswer: g**(-8902\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1113241 + -311431?\nAnswer: -1430222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*16\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*a - 399*a - 16 = 0. Suppose 0 = 5*d + u + 1227 - 3256, -a*d + 1640 = 5*u. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 9 = 50*v - 19*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n - 90. Does 7 divide a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16127919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 18 + 11 + 27*x to p + a*x and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2307427335 to three dps.\nAnswer: -0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z - 9\/7*z**3 + 0*z**2 - 12\/7*z**4 - 3\/7*z**5.\nAnswer: -3*z**3*(z + 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.5 (b) -3 (c) 2256 (d) -2\/35 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 87516?\nAnswer: 1\/29172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 455, 733, 1031, 1355?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -66, -91, -114?\n\"Answer: t**2 - 30*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 16*h + 33. Determine p(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 5:01 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.8 + 4.8. Let z = m - -15. Let u = z + 6. What is the second biggest value in -2\/7, u, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 2*a**2 - 2*a + 2. Let g be ((-2)\/(-4))\/((-1)\/(-2)). Let m = g + -3. Determine q(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24404069?\nAnswer: 24404069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397458?\nAnswer: 2, 3, 113, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 104*v\/5 - 1352\/5.\nAnswer: -2*(v - 26)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/2934 or -3552?\nAnswer: -3552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssspppsuspspspsspsps. Give prob of picking 1 p and 1 s.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 v when four letters picked without replacement from {v: 8, l: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = 3*t, -3*t + 5*b + 26 = 6. Let r(q) = q**3 - q**2 + 22. List the prime factors of r(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10335, 1 in ascending order.\nAnswer: 1, 5, 10335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93020*c = -92435*c + 28665 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -11. Let k = d + -1. Suppose -n = n + k, 0 = 5*v + 5*n - 5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. Let v be ((-6)\/s)\/((-6)\/4781648). Let p = -825412 + v. What is p rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210 * -0.27.\nAnswer: -56.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155.5 + -154.5. What is the nearest to p in -37, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1020210112012?\nAnswer: -1020210112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 4.24. Let n = l - -0.04. Let z = n + 8. Sort 0.5, -0.1, z in decreasing order.\nAnswer: z, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 - 309 + c + 309 + c**3 in the form x*c**2 + y + i*c + q*c**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35325 (base 11) to base 15.\nAnswer: 1017d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1961\/5829 - -21\/67. Let i = y - 77\/435. Suppose 17*g + 12 = 21*g. Which is the closest to i? (a) 0.4 (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20174 divided by 7\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17458 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 13*r + 15. Let d be g(12). Let m be d\/(-2)*(-8)\/(-6). What is the remainder when 3 is divided by (-2)\/(4*1\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/40*l**6 + l**2 + 0*l + 0*l**4 + 0 - 1\/2*l**3 + 0*l**5. Differentiate k(m) with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 4*u**3\/3 + 2*u**2 - 4*u - 1. Let x(h) = h**3 + 44*h**2 + 38*h - 222. Let c be x(-43). Is q(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 53*a**2\/4 + 775*a\/4 + 1875\/4.\nAnswer: (a + 3)*(a + 25)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, -1, 2 in descending order.\nAnswer: 2, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1762*h**2 - 1827*h**2 + 3 + 3796*h**2 in the form f*h + l + v*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 3*y)*(-2*y + 0*y + 4*y)*(8 + 22511*y + 6 - 22517*y).\nAnswer: 24*y**3 - 56*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021827923 to 7 decimal places.\nAnswer: -0.0002183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q**2. Let c(j) = 6*j**2 + 4*j. Let v(d) = -2*d - 39. Let h be v(-17). Let s(m) = -7*m**2 - 5*m. Let n(k) = h*c(k) - 4*s(k). Calculate z(n(f)).\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4630139 is divided by 1543365.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(979\/445) + (-25)\/33?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 3*w. Let p be q(2). Suppose -5*z - 85 = -p*v, 2*z = 5*v - 2*z - 238. What is the lowest common multiple of v and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732886689 divided by -244295563?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 223763 divided by -223763\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 395*i - 392*i, -3*f = 4*i + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-7)\/((-63)\/6)). Suppose s - 580 = -a*s + 3*r, -s + 145 = 3*r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/84 and -145\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*a + 32, c - 739*a + 743*a = 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 3540*i - 3537*i + 10619*i - 3546*i.\nAnswer: -4*i + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 15 = 4*x, 49*x - 48*x + 10 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -302867, -1211451, -2725757, -4845785, -7571535, -10903007, -14840201?\n\"Answer: -302861*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = x + 17, -4*f + 2*x = -12. Solve 3*d + 3 = -3*z, f = -5*d + 5*z + 50 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103077442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:14 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -10. Let w(x) be the first derivative of 0*x**3 - 1\/4*x**4 + 0*x**2 + 5 + 2*x. Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8098196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -26. Find the second derivative of 2*k - 6*k - 11*k - h*k**2 - 15*k**2 wrt k.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 613*f + 1236. Give i(-3).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 38?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.2. Let l = 5.151 + -5.251. Which is the biggest value? (a) 4\/9 (b) 5 (c) l (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/51 and 19\/21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 2*u**2 + 144. Is n(0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48 - 132*w**2 + 9*w**2 - 192 - 80*w**2 + 19*w**2 wrt w.\nAnswer: -368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.6 times 370?\nAnswer: 131942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30778235 and 30.\nAnswer: 184669410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(425))*-1)**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3271, 3397, 3563, 3769?\nAnswer: 4015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, m: 2}. Give prob of picking 2 c.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 821 = 7*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4081444 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*g + 3136, m - 3914 = -3*g - 2*g. Is (-36)\/9 + 1 + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147431 or -147206?\nAnswer: -147431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9097\/23 greater than -397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*x**3 + 2*f**2*x**2 - 33*f**2 - 648*f*x**3 + 18*f + 2*x**2 wrt x.\nAnswer: 18*f**2 - 3888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4.948. Let a = x - -1.408. Let k = a - 0.46. What is the biggest value in 3, 0, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672) + sqrt(672)*-6*6)\/(2*(sqrt(600) + sqrt(600)*-6)).\nAnswer: 7*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q - 58*q + 56 = 0. Let m(x) = -x**3 + 10*x**2 - 12*x. Let t(k) = -k**3 + 19*k**2 - 23*k + 1. Let n(y) = 5*m(y) - 3*t(y). Is n(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 24. Let v = -6 + h. Suppose 4*d + 4*k = -d + 57, 0 = 4*d - v*k - 56. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.9 - -24. What is d rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1595, -1586, -1575, -1562, -1547?\n\"Answer: b**2 + 6*b - 1602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516 a factor of 1296180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 7) in base 12?\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-329)\/188*(-4656)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1536 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1840 and 920?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - s = -55, -f + 3*s = -5 - 5. Suppose -14*d = -9*d + f. What is the units digit of ((-15)\/9)\/(d\/105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**3 - 3*y + 3. List the prime factors of w(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let k = 3287 - 3283. Let m(l) be the third derivative of 1\/12*l**5 + 6*l**2 + 0*l**3 + 0*l + 0 + 0*l**k. Determine m(f(y)).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/5)*g*g\/((g*g**(1\/34)*g)\/g) assuming g is positive.\nAnswer: g**(-39\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036 = 144498*s - 144572*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) 4 (b) -47 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, 9, -5, -201?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 128. What is the nearest to u in 2.1, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5055 - (-6)\/30*-5. Let m = -869 - c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43089, -41270, -39443, -37602, -35741?\n\"Answer: g**3 - 2*g**2 + 1818*g - 44906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 + -2?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.4. Let o = -1 - -1. Which is the nearest to 0.1? (a) -5 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79118, 79154, 79218, 79310?\n\"Answer: 14*j**2 - 6*j + 79110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5562743 and 0.3?\nAnswer: 5562742.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*g**2*q**4 + 58*g**2 + g - 11*q**6 + 9*q**2 wrt q?\nAnswer: 2064*g**2*q - 1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let u(x) = 273*x + 2. Give z(u(k)).\nAnswer: 149058*k**2 + 2184*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5852 and -0.1.\nAnswer: 585.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 131807.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -13912.\nAnswer: 1\/3478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 43294452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*z + 31, -2*z + 75 - 76 = 93*a + 258 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*w - 101 - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erxnqdex. What is prob of sequence qx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 164*b.\nAnswer: 4*b*(b + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -88, -162, -264?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9960 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/50*0\/(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - x = -3*g - 12, 3*x + 12 = 0. Let p = -0.1 - -0.3. Let m = 0.9696 - -0.0304. Which is the biggest value? (a) m (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let y = j - -4.2. Let l = y - 0.2000007. What is l rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247887 is divided by 136.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 + 12 = s, -3*s + 4*y + 39 = 0. Suppose -s*b + 0*b + 204 = 0. Solve 3\/4*l**2 + 48 - b*l = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 50*a**3 + 13*a**3 - 75 - 65*a**2 - 180*a + 15*a**4 - 8*a**3. Let c(j) = j**2 - 1. Let y(i) = 5*c(i) + p(i). Solve y(n) = 0 for n.\nAnswer: -4, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62753710 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13806, 55245, 124314, 221013, 345342, 497301?\nAnswer: 676890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4574 - 12710 = -452*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 97667*u - 49260120. Determine k(507).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**2 + 4. Let l(c) = 7*c**2 + 3. Let w(j) = 8*j - 75. Let i(m) = m**2 - 16*m + 64. Let v be i(11). Let t be w(v). What is t*s(b) + 4*l(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + 28.1. Let n = y + -21. Let a = -7.9999997 + n. Round a to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebi. Give prob of sequence ebib.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3 - 16718565*t**2 + 1170317925*t - 20480670875 = 0. What is t?\nAnswer: -3343783, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 5 - a**3 - 1 - 7*a**2 - a**2. Let j be k(8). Suppose 2*q = 2 - j. Is q greater than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/3 + 31562*l**2\/3 - 41480346*l - 207664830 = 0.\nAnswer: -5, 7893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -325237869784 less than 0.7?\nAnswer: 325237869784.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 + -141. Put -3, -2, s in descending order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 10420*c**3 + 5449620*c**2 - 21673600*c + 21632000.\nAnswer: 5*(c - 1040)**2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 28 + 45*l**2 - 3 + 39*l - 37*l. Is x(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 19 = 9. Let t be (-1151330)\/(-3) + i\/(-6) + 1. Let v = -178777 + t. Round v to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80\/49 + -38\/49. Which is the third biggest value? (a) 12 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6a486 (base 13) to base 11.\nAnswer: 2462425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 8*w**2 - 9*w + 4. Let j = 40 - 31. Let o be x(j). Find the first derivative of 3*k + 9 - 12*k - o wrt k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 503 = -2*a + 439, -1074 = 2*a + 108*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 3*l + 7 = 0, -3*k - 2*l + 12 = 0. Find the third derivative of 11*b**6 + 7*b**k - 12*b**6 + 4*b**6 wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m - 612 = -140*m + 63*m. Solve -15*g + 57 = -m*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*q - 7*q - q**2 - 35*q as u + v*q**2 + r*q and give r.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43\/7 - 7\/49. Let c(q) = -q**3 + 5*q**2 + 6*q + 2. Let w be c(b). Solve -2*p - 16 = 2*p + 4*s, p = -w*s - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/3 + 72656*w**3\/3 - 72658*w**2 + 217976*w\/3 - 72659\/3 = 0.\nAnswer: -72659, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/3)\/(3\/6). Calculate the common denominator of (-33)\/(-18)*(-81)\/u and -31\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 8*r**2 - 6*r + 10. What is the lowest common multiple of 11 and m(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8778*h**3 - 726*h**2 + 2318020*h + 3?\nAnswer: -52668*h - 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4437, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(68)*-3 + sqrt(68))\/sqrt(2))\/(-2*sqrt(128)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-13 - -7 - (-1 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 6*t**2 - 8*t - 5. Let b be w(4). Suppose 3*m - 133 = 5*q, 2*m - q - 95 = -4*q. Calculate the remainder when m is divided by b + 1 + 36 + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -0.2 (c) -3 (d) -0.4 (e) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-171)*93108\/(-8). Let s = -82\/57 - m. Let r = 68 + s. Which is the closest to 1? (a) r (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 628 + -353. Is 33 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 215. Let y be w(31). Factor 0*c + 2\/7*c**y + 0.\nAnswer: 2*c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/33, -0.5, 75, -3, -1, 1 in decreasing order.\nAnswer: 75, 1, 4\/33, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 120, 99, 78, 57?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(75)*-2)**2 - sqrt(24)\/sqrt(72)*-6.\nAnswer: 2*sqrt(3) + 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.5 - -5. Let v = -179.92 - -180. Let m = 8 + -4. What is the smallest value in m, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 13*s**2 - 14*s - 5. Let x be m(-12). Let l = 21 - x. Solve o = 5*b + 4, l*o + 2*b - 3 = 7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1374934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - 0 - (-11 - 0 - 16)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 109*o - 45*o - 26*o - 40*o. Let a(d) = 3*d + 3 - 4*d - 7*d. Determine z(a(j)).\nAnswer: 16*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1262, 1022, 634, 98, -586, -1418, -2398?\n\"Answer: -74*k**2 - 18*k + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -29*o**6\/60 + o**4\/4 + 2*o**3 - 3*o**2. Suppose -5*m - 501 = -481. Let n be r(m). Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 63*k = -289 + 898 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -s + 5*z, 2*z - 8 = 4*s - 0*z. Let f be (s + 0)\/(3 - 2). Suppose -j - n = -29, j + f*j = -3*n + 37. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*o**3 - 88*j**3*o**3 + 2*j**2*o**3 - 21*j**2*o**2 wrt j.\nAnswer: -48*j*o**3 - 528*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.24 + 14. Let j = -0.08 + i. Let c = -7.32 - j. Sort 4, 2, c in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -175014\/143 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.297919 + -6.703951. Let b = p + 82. What is b rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 13. Let i be f(10). Suppose 0*l - 3 = 3*l + i*j, -l = 2*j + 4. Suppose -20 = -l*s - 2*n, -2 = -s + 5*n + 8. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**3 + 2844*t**2 - 5736*t - 22816 = 0.\nAnswer: -713, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**3 - 5*q**2 + 5. Let c(t) = 10*t**3 - 8*t**2 + 8. Let k be 4 - 3*(-6)\/18. Give k*c(g) - 8*m(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -19 + 4, -4*s - 3*m = 7. Let h = s + 2. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31614684 by -3.\nAnswer: -10538228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1611\/10859 or 1?\nAnswer: 1611\/10859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4986\nAnswer: -1\/4986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417488 is divided by 847?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9\/216)\/(21\/2044) and -73\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.2465761 to 2 decimal places.\nAnswer: 307.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:31 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 - 6*t - 3. Let l be u(7). What is the second biggest value in l, 0.06, -2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**2 - 3. Let q(h) = -19*h**2 - 5. Let x(k) = -3*q(k) + 5*r(k). Let z(b) = -7*b**2. Calculate x(z(p)).\nAnswer: 343*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.82? (a) -0.1 (b) 10 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/2)*l)\/(l*l\/l**(-3)) assuming l is positive.\nAnswer: l**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/40)\/((-10)\/(-160)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 107133973?\nAnswer: -107133968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)\/p)\/p**10*(p*p\/(p*p\/((p\/((p*p**(1\/5)\/p*p)\/p*p))\/p)))**(1\/58) assuming p is positive.\nAnswer: p**(-10896\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -14 + 39, 5*g = 5*j + 45. Suppose -16 = -5*h + 3*a - a, 7 = -g*h - 5*a. Determine z so that -11*z**2 + 7*z**h + 0*z**2 + 16*z - 16 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 + 7*u**3 + 7*u**5)*(3 - 4 - 2).\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by 48?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-35)\/n**9 assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from wxxxitxrxrtxrxaxta?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = -13. Let t = -110 + 190. Let o = 79.9 - t. Which is the smallest value? (a) 1\/4 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h\/(h**(-2\/7)*h)))*h*h)**(-47)\/(h\/(h\/h**(-2\/7)*h*h)*h*((h*h\/(h**(-5)*h))\/h)\/h))**24 assuming h is positive.\nAnswer: h**(-26400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 24 + j**3 - 10 to the form n*j**3 + y + o*j + b*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.923 and -4?\nAnswer: 3.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2 + z)*((z + 3*z - 2*z)*(-2 - 5 - 5 + (-3 + 1 + 1)*(1 + 0 - 2)) - 1 + 1 - 7*z) as k*z + s*z**2 + f and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 4*y - 1. Let t be f(2). Suppose -2*o + 36 = o. Calculate the least common multiple of 61\/t - (-7)\/(-21) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -55*p + 4. Let c be (-15)\/2*(-12)\/110 - (-18)\/99. Calculate v(c).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 88 - 104 - w.\nAnswer: -5*w - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-69384)\/(-66906).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5237, -10486, -15737, -20990, -26245?\n\"Answer: -b**2 - 5246*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:33 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 - -203. Suppose l = -339*s + 343*s. What is the nearest to s in 1, -2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1537818355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 5*h + 4*h)*(6 + 5 + 1)*(1 - 2 - 1)*(0*h + 0*h - 2*h) to the form r + v*h + k*h**2 and give k.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:06 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20321 + 200?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 11 - 14 - 6*x**2 as v*x + z*x**2 + l and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170189018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 216. Let p = l - 24. Calculate the remainder when p is divided by 8\/(-6)*(-12)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -8, 0 in decreasing order.\nAnswer: 88, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 10. Let o be z(-8). Suppose -o*y + 0*y = -8. Let k = 14 - y. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000362054 rounded to 7 decimal places?\nAnswer: 0.0000362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsssiisssyssjsissii. Give prob of picking 2 s and 1 i.\nAnswer: 275\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-168)\/6)\/(85\/85)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483876 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58 times -1.45\nAnswer: 84.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 12208716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*m + 7, 3*m - 6*d = -5*d + 14. Let c(l) = 1. Let o(j) = -3*j + 10. Let g(s) = m*c(s) - o(s). What is g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -524817.\nAnswer: -524817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s = 47*s + 395. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 522*m**3 + 48*m**2 + 48*m + 48. Let x(s) = 55*s**3 + 5*s**2 + 5*s + 5. Determine -5*g(j) + 48*x(j).\nAnswer: 30*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50465, -50478, -50499, -50528?\nAnswer: -50565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/78349974 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82257*a**2*d + 3835*a*d - a wrt a?\nAnswer: -164514*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10*400\/(-32). Sort 1, q, -0.4, 26 in ascending order.\nAnswer: -0.4, 1, q, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 91. Let k = -12.25 - o. Let j = -2.82 - k. Round j to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*r**3 - 13*r**2 - 10*r**2 + 152*r**3 + 23*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*w + 36*r**2 - r*w - 5*r - 17*w + 3 with respect to w.\nAnswer: -r**2 - r - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0326 + -0.3674. What is the biggest value in 5727, r, -3?\nAnswer: 5727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 18. Suppose -4*v + s = -6, -4*s = -4*v - q*s. Let k = -1021 - -13279\/13. Does v = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7687.268 decades in months?\nAnswer: 922472.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 114 + -270232?\nAnswer: -27011a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 8. Let u(y) = 5*y**2 + y. Let i be u(t). Suppose 2*g - i = -0*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4592285 and 424715.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2671.6 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-275)\/(-40) + (-2)\/(-16). Is -5 + (7 - (-20265)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115 or -4?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303 a factor of 35633442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1267150219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(63\/(-378)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 910820071 - 631177282. Let r = -279642935.0000428 + g. Let d = r - -146. Round d to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -100, -91, -78, -61, -40, -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -272.\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 6*r**2 + 5*r - 4. Let c be a(-5). Let o(g) = -g**2 + g - 1. Let f(m) = -6*m**2 + 4*m - 1. What is c*o(i) + f(i)?\nAnswer: -2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -938535 * 0.88\nAnswer: -825910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2900.4 - 2900.40000028122. What is b rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h - 15. Suppose t + j + h = 4*t, t + 3 = 5*j. Find the first derivative of -2*n**3 + 0*n**2 - t + 0*n**2 wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880186124?\nAnswer: 2, 220046531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-12)*17656\/55. Let i = o - 802. Is i > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 4*h - 8, h + 2 = 3*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 21*x**5 + 9498*x**4 + 30915*x**3 - 29910*x**2 - 123996*x - 32328 = 0.\nAnswer: -449, -3, -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2754)\/(-119)*(5684\/(-147) + 34).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 31*j**2 - 218*j + 17. Let t(a) = -11*a**2 + 74*a - 6. Determine -11*t(w) - 4*x(w).\nAnswer: -3*w**2 + 58*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6104?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(598\/483)*2\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x - x + 9*x + 0*x. Let q(w) = -2. Let n(p) = -44*p**2 - 40. Let d(g) = -n(g) + 20*q(g). Determine h(d(j)).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 206 times 19\nAnswer: 3914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -30, -31, -32, -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 - 15. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 17 (b) -2 (c) -0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -25. Suppose -3*t + u*t = 0. Solve n = h - t*n - 3, 2*h = n + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33*8\/6*1. Suppose g = -4*n - 4*o, 0 = 4*n - 4*o + 2*o + 26. Sort -4, n, -2.\nAnswer: n, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/((-240)\/(-16))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 26234537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 1301?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 593.1 - 592. What is the biggest value in k, -14, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 11}. Give prob of picking 3 f.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.1. What is the nearest to 1\/2 in h, -0.04, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 18*v**2 + 17*v. Let l be s(-17). Let n(o) = -9*o - 62. Let c(x) = -5*x - 31. Let f(i) = 7*c(i) - 4*n(i). Is f(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2) - (90\/220 + -1))\/(-1).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7756266 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 less than 106435?\nAnswer: 106443.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - 7)\/6*(-54)\/4. Suppose -25 = 26*u - q*u. What is the least common multiple of u and 145?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 851848, 1703642, 2555436?\n\"Answer: 851794*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.7 - 6.7. Which is the closest to -1? (a) 3 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 10*b**2 - 2*b - 15. Let o(l) = -l - 20. Let z be o(-13). Let v be 1*-1 + -2 + z. Give r(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.4 (c) 56494 (d) 597\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -132, 121, 5, -2\/3?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 63. Let y = w + -40. Let p be y\/8*(-6 + 22). Solve -3*m + p = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 - 5. Let t be g(3). Differentiate 3*k - k + 0*k + 15 - t*k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 y when four letters picked without replacement from {t: 13, y: 3, w: 1}?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88 and 1?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1261.000007085 + 1261. Round x to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258.47 + -258.47. Let j = 0 + 2. Let p = -1.9 + j. Which is the closest to l? (a) -5 (b) p (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(162)*1 - sqrt(162) - (-3 + 1 + sqrt(162))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {x: 7, g: 7, z: 4}?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:44 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5363 - 5619 = -106*q - 3032 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, -0.5, -0.4, 14.216, -61, -0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*d - 31*d**3 - 15*d - 15*d + 36*d**3 - 15*d**2.\nAnswer: 5*d*(d - 5)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + -3 + (4 + sqrt(252) - sqrt(252)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {y: 5, h: 6, s: 4, v: 4, b: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Let h(c) be the first derivative of -9*c**3 - 34. Determine h(j(z)).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163785 divided by -32757.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(1\/8)*(y*y\/y**10*y)\/y assuming y is positive.\nAnswer: y**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6420 and 428.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 10 = -30*p + 34*p + 20, 196*p - 3*l = 37*p - 1605 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 15 = -3*f. Suppose f*v - 24 = v. Solve g + 10 = v*g - 2*o, -2*o - 10 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -48118995, -48118996, -48118997, -48118998, -48118999?\n\"Answer: -o - 48118994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and -0.08077?\nAnswer: 17.91923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 3*c + 16, -4*j + 119 = 4*c + 95 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2942*y**2 + 4*y - 8848*y**2 + 2978*y**2 + 3055*y**2 as n*y + t*y**2 + f and give t.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/18*6 + 17. Let h(k) be the third derivative of -k**4\/24 + k**3\/6 + k**2. Determine h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9504 - 9455. Calculate the remainder when 175 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 7*a**2 - a + 7. Let u be m(7). Suppose 3*q + 6 = 2*f + 5*q, -3*f - q + 13 = u. Let w = -2 + f. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -43*a**2 - 5*a + 5. Let x(w) = 21*w**2 + 2*w - 2. Give 5*x(o) + 2*z(o).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (13665 - 13609) + 2 + -129?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1765*g - 1114. Let o(d) = -2*d. Determine b(o(h)).\nAnswer: -3530*h - 1114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110000010 (base 2) in base 8?\nAnswer: 15602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -3\/2 (b) -6 (c) 20 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + p - 9*p + 7*p)*(-2*p + 3*p + p) + p**2 - p**2 - 2*p**2 + (p + 0*p - 2*p)*(-2 + 2 + 4*p).\nAnswer: -8*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 34 - 8 = 0. Calculate the remainder when 62 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*q + 573, -9*q + 5*q = -3*a - 757. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*c + 123, 11 = 2*h - 2*c - 107. Let w = 85 - h. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 7*k**2 - 1 - 13*k**2 + k**3 + 0*k**3 in the form b*k**2 + s*k**3 + f + v*k and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 12*g + 4613. Calculate v(-42).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 15. Let a be d(6). Let i(q) = -q + 7. Let f be i(a). Put -1, -4, f in decreasing order.\nAnswer: -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkrurunknnnk. Give prob of sequence nnru.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.63238919 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)*(-3 + 2). Let f be (3\/(-4))\/(q\/8). Calculate the common denominator of 9\/8 and f\/(-45)*(1 - -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-844)\/6330*(-45)\/(-141).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Determine n, given that 5*n**2 + 0*n**g - 6 + 3*n - 2*n**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1542242315 to the nearest integer?\nAnswer: 39271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 711549, 2846422, 6404543, 11385912, 17790529, 25618394, 34869507?\n\"Answer: 711624*x**2 + x - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppvpvvpp. What is prob of sequence pv?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - h = -20*z + 26, -5*h = -5*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2)*k*k\/k**(5\/3)*k*(k\/(k*k\/k**(1\/4)))**20)\/(((k**(2\/7)\/k)\/k*k)**(-3\/5)*k**(-2\/13)*k**(-4)) assuming k is positive.\nAnswer: k**(-1895\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n. Suppose n = -5*m + 25. Let g = 1 - -1. Calculate the remainder when m is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -6*r**2 + 2. Let k(p) = -p**2 - 2*p. Let v(o) = 2*o**2 + 5*o. Let b(s) = 10*k(s) + 4*v(s). Determine b(h(f)).\nAnswer: -288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + c + 1, -6*o + 4*o = -3*c + 1. Let j be (2\/o)\/((-9)\/18). Is j < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3)**4\/(d**(-3))**(-19))**(1\/13) assuming d is positive.\nAnswer: d**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 512.5 + -512. Sort -4, 2, 9, t.\nAnswer: -4, t, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -404 - 2?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 1425\/27 + 4\/18. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 22 = -4*f, -7 = 5*i + 87*f - 88*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 14 = -8*j. Let o be (-232)\/87*(-6)\/j. What is the tens digit of (-12)\/16*o + 137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h**3 - 292*h**2 + 5055*h\/4 - 2475\/2 = 0.\nAnswer: -22, 15\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/5, 1\/5, -2 in increasing order.\nAnswer: -2, -3\/5, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15481 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -335 or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r + 11*r - r + (377*r + 386*r - 777*r)*(-3 + 1 + 1).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 349 + -345. Let y = 0 - 3. Is c\/(340\/(-116) - y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:34 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 0.07. Let o = 0.52 - n. Which is the third smallest value? (a) o (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0272 - -0.1728. What is the third smallest value in -2\/91, -7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine quarters of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40212*1.\nAnswer: -40212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (132\/308)\/(3\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5*a**(1\/2))\/(a**(-1))**(3\/4))**(-1\/37) assuming a is positive.\nAnswer: a**(-25\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-11)*(-272316)\/86646\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 27 - 81. What is the remainder when 10 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-176) - (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45275878?\nAnswer: 2, 4733, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 305, -771, 0.1?\nAnswer: -771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b*z**4 - b*z**2 + 3*b*z + z**6 + 17086*z**3 - 6266*z**2 + 8 wrt z?\nAnswer: 144*b*z + 120*z**3 + 102516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -188. Suppose -4*r + 193 = f, 3*r - l = -5*f + 54. Suppose -5*x = -x - r. Solve -2*v = v - x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132864825 rounded to the nearest one million?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121073 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 8:31 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 2*j - 2. Let t be l(3). Suppose 3*a - 13 = 4*w, 5*w = a - 0*a - t. Calculate the remainder when 45 - w\/(-2) - 1 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.1 (c) -1.8 (d) 5 (e) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -748.0353 - -748. Let h = j + 0.035529. Round h to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3 - 13*i**2\/2 + 1066*i. Determine p(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1698.\nAnswer: -2\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.37 - 2.\nAnswer: 3.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 + 47*r**2 - 54*r**2 + 97 + 35*r**2 + 28*r**2 as n*r**2 + z + h*r and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 899, -0.15, -0.24, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 96047\/7 - (-153)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -49. Find the second derivative of 2*j**2 + g*j**5 - 23*j - 2*j**2 - 4*j**5 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4155 is divided by 4124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:25 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 3. Let x = 9 + -5. Let t(r) = -3*r + 4. Calculate x*a(z) + 3*t(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 28699?\nAnswer: 286a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8149231 or -8149230?\nAnswer: -8149231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/12 + s**3 + s**2 + 10*s - 3. Suppose -2*m - 2 = j + 11, 0 = 3*j - 5*m + 6. List the prime factors of b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 2:12 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1596\/(-80) - (-104 - -84)) + (-5397)\/60*-1.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 936315 = -3*k, -2*d + 12*k = 7*k - 1872625. Round d to the nearest 10000.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 284719 + 3?\nAnswer: 28471c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3124542 years in decades?\nAnswer: 0.03124542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -4*m + 4*o - 27, -24 = 4*m + 4*o. Let a(v) = -v**3 - 9*v**2 + 9. What is a(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Suppose 2*k - 12 = v, -5*k = -0*v + v - 16. Suppose -g*c - 2 = -5*x - 23, 0 = 4*c + k*x - 48. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(sqrt(200) + sqrt(200) + 0)*3*4*-4)*3)**2.\nAnswer: 34560*sqrt(2) + 16588836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 25. Calculate the remainder when y is divided by (-15)\/(-6)*(-160)\/(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 55 - 15 = n, 3*b + 5*n = 47. Is (-200)\/(-6)*b\/6 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 + 1612*o**3\/3 - o**2\/2 + 9816*o - 11609. Find the second derivative of x(a) wrt a.\nAnswer: 6*a + 3224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let t = 7 + -3. Let h(l) = -5 - 3*l + t + 1. What is i(h(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 10*d - 2*d + 11*d.\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*75.8383.\nAnswer: 910.0596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293261647 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) -2\/7 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16514572 divided by -16514572?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/858 - 1\/26 - 372\/33?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:00 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n. Let k(g) be the second derivative of 71*g**4\/4 - 8*g - 48. What is k(b(i))?\nAnswer: 3408*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686.475 meters in nanometers?\nAnswer: 3686475000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 143234.6 centuries?\nAnswer: 1432346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -149549102 <= -149549102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*r - 15 = 2*n, -4*n + 14 = -r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/(-756)*99 + -26?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 + y**3 + 3*y**3 + (y**2 + 4*y**2 - 4*y**2)*(-4*y + 4*y + y) - 3*y**3 - 4*y**3 + y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(187)*2)\/((sqrt(66)\/sqrt(3))\/sqrt(2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 13*q = -11*t + 50, 0 = t + 2*q + 33. Sort t, 4, 2, -1, 7 in descending order.\nAnswer: 7, 4, 2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**3 - 8*w**2 - 14*w - 8. Let t(h) = -9*h**3 + 5*h**2 + 9*h + 5. Determine 5*a(l) + 8*t(l).\nAnswer: -2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -62 and 5942010448.\nAnswer: 5942010386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3834057 decades?\nAnswer: 46.008684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256861840 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097082?\nAnswer: 2, 3, 7, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 23762*u**3\/7 + 22018*u**2\/7 - 1712*u\/7 + 32\/7 = 0.\nAnswer: -1, 4\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 4*a - 7*a. Suppose -2*r - 5*p + a = -0*r, 0 = 4*p - 16. Suppose r*d - 351 = -2*d. What is the remainder when d is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Let v(y) = 6*y**2 - y - 25. Let x(f) = -4*r(f) + v(f). Let p(i) be the first derivative of x(i). Calculate p(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*w - 124, 7*b = 12*b + 2*w - 334. Calculate the highest common factor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -65. Suppose -b + 5 = f. Which is smaller: f or -15\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 100*d**2 - 293*d - 194.\nAnswer: -(d + 1)*(d + 2)*(d + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-3*g + 2*g + 3*g)*(2 - 2 + 1)*(-2*g + 3*g - 2*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19614 or 19944?\nAnswer: 19614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155743\/58 + -2685. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1 + 82952*g**2 + 8*g - 82938*g**2.\nAnswer: 14*g**2 + 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 547366 + 102?\nAnswer: 547470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3703 + 0.054?\nAnswer: -2.3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2874.2 + 2871. Which is bigger: h or -112?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 82 = -24*a - 58 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let a = 0 + -0.2. Let h = a - l. Sort h, 2\/13, -3 in descending order.\nAnswer: 2\/13, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*-7621\nAnswer: -205767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 296*g**2 + 1195*g + 7580. What is h(-292)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = -4*h - o, -3*h + 2*o + 40 = 0. Let p(k) be the second derivative of 0*k**3 + h*k + 0 + 1\/6*k**4 + 0*k**2. Let u(q) = 3*q. Calculate p(u(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 162 = 14*q - 96. Solve -222 = -5*y + u - 240, 0 = -q*u - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 791, -26 in decreasing order.\nAnswer: 791, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117720)\/192276*14\/6.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/5, 231, -2\/23, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 + 0*15\/(-45) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*k - 16*k + 36*k + 11*k + 8*k**3 + 0*k**2 + 3*k**2 wrt k.\nAnswer: 48*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen sixteenths of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -769 - -768.9131. What is n rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1004 + -1)*(-1)\/(-11). Let x = 91 - d. Sort -0.4, -2, x in decreasing order.\nAnswer: x, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbnntontlot. Give prob of sequence nl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + l + 2)*(-1 + 1 - l) + 47*l**2 + 31*l**2 + l**2 to b*l**2 + t*l + d and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7\/((-70)\/100) + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.026 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39603, -74008, -108413?\n\"Answer: -34405*l - 5198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.1002 millilitres in litres?\nAnswer: 0.5571002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/16 + -5)*(-150)\/(-60)*24\/(-20)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*b + 770 = 19*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/60*0)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2678.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -928, -5, 0.6, -4, 0.5, 11\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -8. Let n = j - 3. Let a be 1\/(-2) - (-11400001)\/n. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 40 = 8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -13. Let f(g) = 8*g**2 + g - 3. Let r = 42 + -30. Calculate the smallest common multiple of f(x) and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 3*u - 1. Let y be 148 - 1*(3 + -3). Suppose -1 = -y*k + 147*k. Let f(a) = 11*a - 6*a - 4*a - 1 - a**2. Give k*x(c) + 2*f(c).\nAnswer: 2*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -36, 5, -2, -7\/8 in decreasing order.\nAnswer: 5, -2\/11, -7\/8, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhrrrhhrhrh. Give prob of sequence rrh.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 - 2)*(-1 - 1 + 3) + (0 + 1 - 3)*(0 + 1 + 1) + 0 + 2 - 3)*(-4 + 4 + 2*d)*(2*d - 3*d + 4*d).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3550 (base 9) to base 6.\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 8308bb?\nAnswer: -830900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8915539 - 8915539 - 563*t.\nAnswer: -563*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-11) - (-3230)\/22. Suppose v*u = 142*u + 475. What is the highest common divisor of u and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 32. Find the common denominator of 47\/8 and 237\/18 + -2 + g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070968443.\nAnswer: 3, 10613, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -98, -141, -182?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5 + 6 + 5 + 536*t - 272*t - 274*t. What is r(-7)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2390, 4813, 7236, 9659, 12082?\n\"Answer: 2423*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h + 1. Let m be (-5)\/10*2\/(-1). Determine k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Let m = 12 - d. Let j = m - 10. Which is the closest to j? (a) 5 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126, -151, -178, -207, -238, -271?\n\"Answer: -b**2 - 22*b - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2)*(-472)\/8. Let a = l - -72. Suppose 3*v + 5 = 2*w, 3*w - 9 = v + 2*v. Solve -h = -3*i, 2*h - w*i - a = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**3 + 10*q**2 - 12*q. Let d(l) = l**3 - 4*l**2 + l - 6. Let s be d(4). Let a(n) = -n**3 - n**2 + n. Give s*b(f) - 22*a(f).\nAnswer: 2*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 9*w - 2. Let h(g) = -g**3 - g**2 - 3*g - 2. Let p be h(-2). What is the units digit of i(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = -120. Let x(z) be the first derivative of z**4\/4 + z**3\/3 + 3*z**2\/2 - 3. Let q be x(3). Calculate the highest common factor of q and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 2*q - 1. Let m be i(-3). Suppose -m*w + 14 = 2. Let x(o) = -16*o - 475. Calculate the remainder when w is divided by x(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u - 819 + 2483 - 837 - 827.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*q - 174*q + 68*q + 58*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -1, -5, 1.42057 in decreasing order.\nAnswer: 1.42057, -0.19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o**5 + 1393675*o**4\/2 - 49944960*o**3 - 229717385*o**2\/2 - 77095105*o - 12878220 = 0 for o.\nAnswer: -1, -1\/4, 74, 69612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/144 - b**5\/24 + b**4\/12 + 4*b**2. Let o(d) be the second derivative of y(d). Differentiate o(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 106*p\/3 + 208\/3.\nAnswer: (p + 2)*(p + 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2137, -2112, -2087, -2062, -2037?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q = -404*q - 1080. Let x = -0.2 + 0.1. Which is the nearest to 7? (a) -5 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -2*x. Suppose 99 = -7*c + 4*c. What is the units digit of (-11)\/c + 11\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24600 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + 4*j)*(4 - 2 - 1) + (0 - 2 + 4)*((-13 - 7 - 5)*(2*j + 0*j - 3*j) + 1 - 1 + j + 2*j + 5*j - 2*j).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*y - 2 = 2, -4*y = -z - 3. Let t(n) = n**3 + 10*n**2 + 8*n - 6. Let o be t(-9). Let p = o - z. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiwiwiwiwwiiiiw. What is prob of sequence wiww?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/1287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 0.07, 0.1, -0.8941, -0.028, -11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -501, 0, -1 in descending order.\nAnswer: 21, 0, -1, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g**3\/5 + 196*g**2\/5 - 66*g\/5 = 0. What is g?\nAnswer: -33, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by 18150.\nAnswer: 268\/9075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18105 + -1.18105. Let d = 0 - -2. Let y = 0 - -0.1. What is the nearest to y in d, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*f**5\/4 - 783*f**4\/4 + 4953*f**3\/4 - 409*f**2\/4 - 4716*f - 3177 = 0. Calculate f.\nAnswer: -1, 3, 6, 706\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -398 + 401. Let d(f) = -f**3 + 3*f**2 + 4*f - 1. Calculate d(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = j + 2*b, -2226*j = -2244*j + 2*b - 52 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/10)\/((-7)\/(-35)). Suppose 2*p - 15 = -5*m, 3*p + w - 17 = m. What is the derivative of 2*u**2 - 1 + 4*u**2 - 4*u**2 + p wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 9, -73, 49 in ascending order.\nAnswer: -73, -1, 9, 16, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 18. Let h = -1145 - -1151. Calculate the least common multiple of i and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, 1039, 2840, 5339, 8530, 12407, 16964?\nAnswer: 22195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00095754486 rounded to 7 decimal places?\nAnswer: 0.0009575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10531*x**2 - 1074*x + 9.\nAnswer: 21062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10340 (base 5) to base 2.\nAnswer: 1011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:29 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-18)*(-4)\/(-3). What is the smallest common multiple of 220\/12 + d\/(-6) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382993 divided by -17.\nAnswer: -22529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z**2 - 1\/18*z**4 - 1\/90*z**5 - 3*z + 4\/27*z**3 - 1. Let k(u) be the first derivative of a(u). Factor k(i).\nAnswer: -2*i*(i - 1)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-four fifths of a micrometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 14. Let p be n(-12). Let k be p*((-21)\/(-6) - -1). Solve -3*d - k = 0, 3*a - 4*d - 20 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -641*v - 1934. Give l(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g - 43. Let k be d(6). Suppose -t = k, -t - 124 = -4*i + 3*t. Suppose -251 = -27*j + i*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2 - 2 - 2 + 6 + (2 + 1 - 4)*(0 - 1 + 2) + 1 - 5 + 3 + 8 - 13 - 9)*(-3*b**2 - 4*b**2 + 6*b**2)*(327*b**2 - 327*b**2 - 260*b**3).\nAnswer: -3120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/123)\/((-4)\/80*20))\/((-2)\/6)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/(x**(-33)*x)))\/x)\/x*x**(-4\/3)*((((x\/(x*x\/(x**(4\/3)\/x)))\/x)\/x)\/x*x)**(1\/47))**(6\/5) assuming x is positive.\nAnswer: x**(-9698\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136394102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6111 and 2231?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 452.0587 to the nearest integer.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -77, -2, 0 in decreasing order.\nAnswer: 0, -1, -2, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2 and 14\/1737.\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + b + 3*b. Let a(d) = d**3 + 3*d - 4. Let x(g) = a(g) - 3*p(g). What is the derivative of x(t) wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 3*o + 5*o + 3 - 3 + o + (-4 + o + 4)*(1 + 4 - 4) + 0*o + 4*o - 2*o - 2*o + 0*o + o + 2 - o - 4 + 2*o.\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.058 + 37.942. Let h = b + -33.4. Round h to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 39117*i**2 + 5*i - 5. Let z be v(1). Let x be (-102)\/z - (1 - 1). Do -0.1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 26195.\nAnswer: -16\/26195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (102\/(-8) - (0 + -2))*-113. Let k = t + -1222. Which is bigger: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 195 - 193?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 63. Solve -3*b = -7*b - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2137 - 1956. Calculate the remainder when p is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/52)\/((6432\/64)\/(-67)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 153960, 1231617, 4156686, 9852873, 19243884, 33253425, 52805202, 78822921?\n\"Answer: 153951*s**3 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - (-60)\/(-9))*(-1)\/(1\/(-4)). Which is the biggest value? (a) -4\/5 (b) 95 (c) -2\/13 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*12*((-128954)\/183)\/151?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 43*o + 2. Is 15 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24139 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {v: 14, h: 5}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.2 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 769 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*o + o, o - 44 = -m. Suppose -m = 5*r - 173. Solve -g - r = -6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 254166?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11921 and 0.1404?\nAnswer: -1673.7084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 39. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2841 divided by -97064.\nAnswer: -2841\/97064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -10, 5, -17, 4, 3 in descending order.\nAnswer: 5, 4, 3, -8, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 51*n + 98.\nAnswer: (n - 49)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -281*k + 6. Let q be t(1). Calculate the remainder when 71 is divided by 2\/(-6) + (-3 - q\/15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p**2 + 47*p + 3. Let m(u) = -42*u**2 + 141*u + 9. What is 11*a(n) - 4*m(n)?\nAnswer: 3*n**2 - 47*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/8*6\/9 - -3. Let b(c) = c**2 - 7*c + 10. Let w be b(p). Suppose 5*v + 2*q - 225 = 2*v, 0 = -v + w*q + 89. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from mmmmwmmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 16, -3*w + 1039 = -r + 15489. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/2 + 15*w + 135\/2.\nAnswer: -5*(w - 9)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 0, -3*r + 2*r + j + 123 = 0. Factor 12*d**2 - r*d + 12 + 142*d + 4*d**3 - 2*d**3.\nAnswer: 2*(d + 1)*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 3 + (-3 + 2 + 2)*(2 - 5 + 1) + 1 + 2 - 6)*(-3*c + 3*c + 2*c) in the form z + o*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -188*d. Let f(n) = -9*n. Let k(b) = -14*b. Let i(s) = -5*f(s) + 3*k(s). What is o(i(p))?\nAnswer: -564*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 591, -1, 2\/9, -5\/3, -0.03, 5\/2 in descending order.\nAnswer: 591, 5\/2, 2\/9, -0.03, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-8*(70755\/(-4984))\/53.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*2\/8)\/(-1). Suppose w - 10 = -5*k, -w - 9 + f = -4*k. Solve -5*c - 1 - 15 = -2*y, -2*y = 2*c - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 1. Let v(z) = z**3 - 3*z**2 - 5*z - 6. Let a(c) = 5*g(c) - v(c). Is a(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97148 is divided by 3433.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2*u**2 - 2*u + 4. Let l(o) = 2*o**3 + 5*o**2 - 5*o + 9. Let w be (-10)\/(-5) - (6 - (-2 - -1)). What is w*p(s) + 2*l(s)?\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*t + 544 = 0, 3*d + 2*t + 134 = 4*d. Suppose -5*h + d = 2*o, 4*h + 0*o = 2*o + 96. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -258, -268, -296, -348, -430, -548, -708?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6195, -6187, -6175, -6159, -6139, -6115, -6087?\nAnswer: -6055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 628988 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 smaller than -2\/80073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13*i = -12*i - 14961, -3*b = 2*i - 8971. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -117*h - 376. What is the remainder when m(-5) is divided by 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(-9\/2)*w**0*w**1*((w*w**(2\/7))\/w)**(-15)\/(w**(-2\/5)*w*w*w**(4\/3)) assuming w is positive.\nAnswer: w**(-464\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758 times -2?\nAnswer: -5516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 25*u**2 + 52*u + 259. Determine i(-23).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -376.16 + 374.3671. Let s = -1.899 - i. Round s to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 805089.7ml?\nAnswer: 805.0897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/13, -457, 26 in descending order.\nAnswer: 26, 1, -2\/13, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 - 31*t - 58. Let g be m(-9). Put 20, 5, 2, g, 4 in descending order.\nAnswer: 20, 5, 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1*h)\/h*h\/(h*h*(h\/h**(-3))\/h*h))\/((((h**(2\/21)*h)\/h)\/h)\/h*h*h\/(h*h\/(h**1*h*h))))**(4\/41) assuming h is positive.\nAnswer: h**(-428\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -87706*m**3 + 2 + 6*m**2 + 43853*m**3 - 7*m + 43854*m**3. Let s(u) = u**3 + u**2 - u + 1. What is -4*s(o) + x(o)?\nAnswer: -3*o**3 + 2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m + 400 - 1961 - 1267 = 160 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 120?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 11*d**2 - 16*d + 60. Calculate s(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 85, -0.5, 0, -0.336, 2?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 + 1)) + -25 + 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 19*r + 739. Determine c(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-4 - -9 - (-10 - -15))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1535015 and -0.07?\nAnswer: -107451.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9509543?\nAnswer: 9509543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27070 is divided by 88.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-73.\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtxlqdqqatqtadtal. Give prob of picking 1 l, 1 d, and 2 t.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7183757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27691 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*2*-6 - sqrt(114)) + -2*(sqrt(114) - sqrt(114)*2))\/(6*-2*sqrt(384)))**2*-1.\nAnswer: -2299\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/33 + 2129\/462. Let j be (5\/(-8))\/(2*(-207)\/(-16424)). Let o = 385\/23 + j. Find the common denominator of o and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.3 - 25. What is the nearest to 0.1 in -4, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from xxzzlxbzqxcxczcbb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnoocwuncochccc. Give prob of picking 1 w and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 564.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122126357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1 + 4)**2 + sqrt(448) - (-5 + sqrt(56)\/sqrt(8)*3)**2.\nAnswer: -26*sqrt(7) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -149, -155, -161?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -149?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 22*v = -72 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 5*d - 2*d + (0*d + 2*d - d)*(-8 - 6 - 1) - 7*d + 9*d + 2*d + (2 - 1 - 3)*(-2 + 2 + d) to a + y*d and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuiuuuou. Give prob of picking 1 u and 1 o.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-162 - 3*c**2 - 153 + 312)*(-5 + 4 + 2)*(-6*c + 25 - 15 - 7) as m*c + b + i*c**3 + f*c**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 58672068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -4 + 154 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -72 - -65 - (2 + (-3 - 2)) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 163*n**2. Let f(k) = -3*k**3 + 324*k**2. Determine -6*f(m) - 10*i(m).\nAnswer: -2*m**3 - 314*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 340 = 0. Suppose 111 = -2*b - 233. Let y = w - b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than 17\/51294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 1181733.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 23357106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(1\/4)\/q))**(2\/201)*(q**(-2\/3))**(-6\/5))\/((q**(7\/2)*q)\/(q*q*q**5*q))**36 assuming q is positive.\nAnswer: q**(254923\/2010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 - 207*f - 26. Let p be k(26). Let i be (1*-5 - -1)*1. Let h be 0\/((-2)\/i*2). Solve h*a - 3*a - 12 = p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*d + 76 = -31, 105 = -3*m + 3*d. Let o = 35 + m. Factor 4*v**2 - 7*v**2 + 8*v**o - 15*v.\nAnswer: 5*v*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -5, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose -d*l = -9*l + 20. Solve 0*f + l*f - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341213 + -2102213?\nAnswer: -2443431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 11\/24*i**4 + 0*i**3 + 1\/2*i**2 + 0*i + 4. Let d(n) be the second derivative of q(n). Let b(a) = -a**2. Give d(b(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328594909 is divided by 848?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 460697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97285978 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 divided by 5?\nAnswer: -692\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4*-3)\/(-6). Let n = -20.956 - 0.044. Let i = n - -26. Sort -1\/3, r, i.\nAnswer: -1\/3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3842930 divided by 3731\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 14, 45, 110, 221, 390, 629, 950?\n\"Answer: 2*c**3 - c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.08 (b) 0.2367 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38524 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.00000108 - 18. What is m rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*3*40\/(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 1771 = -137*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 1. Let v be 10\/35 - 5\/(-7). Let x(m) = m + 7*m + 2*m + v - 9*m. Determine x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 588, 1178, 1768, 2358, 2948, 3538?\n\"Answer: 590*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148958563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 1.6 (c) -1\/3 (d) 9 (e) -2\/7 (f) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-2 + 6 - 5) + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2508943885 to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -1020 + 7)*1*50. Round q to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815203.\nAnswer: 41, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -24. Let x = -31 + 39. Let y be (36\/x)\/(3\/18). Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose 2*d - d - 66 = -2*u, -4*u + f*d = -152. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -384*x**2 - 2*x - 12 wrt x?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrar when four letters picked without replacement from aswwrrwrlysrswaryrs.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 185b + 1447?\nAnswer: 30a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (11 - 7) + -5 - 19\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9016 - 2641. 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 third derivative of -8162*x**6 - 28*x**2 + 15*x + 1?\nAnswer: -979440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/467, 0.5, 3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*l + 60, -596 = 5*z - 516 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2887926 and 113\/20.\nAnswer: 28879260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 625*s + 7783. Calculate v(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 30 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14c0 + -c?\nAnswer: -14cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x + 789 = 59*x - 88 - 788 for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7218.2 + -7216.8999996. Let d = m - 1.3. What is d rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/3175 and 34\/352425.\nAnswer: 352425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/11 - 532*f**2\/11 - 1058*f\/11 - 48 = 0. Calculate f.\nAnswer: -264, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 2, j: 1, m: 9}. Give prob of sequence mq.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 102 - 171 = -31. Put -0.1, 0.1, o, 3\/4, 4\/9 in descending order.\nAnswer: o, 3\/4, 4\/9, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 793567, 1587128, 2380689, 3174250, 3967811, 4761372?\nAnswer: 5554933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.664779 centuries to years.\nAnswer: 366.4779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1274573 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -219 divided by 43\nAnswer: -219\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911741 is divided by 5180?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/7 + 5730660*b**3\/7 + 4105075196394*b**2\/7 + 3518613778680*b + 5277909616056 = 0.\nAnswer: -1432662, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 7. Let b be x(5). Let a = b + 32. What is the first derivative of -4*p + 14*p + a*p - 10 - 3*p wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -606, -616, -628, -642, -658, -676, -696?\n\"Answer: -q**2 - 7*q - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5006)\/(-19960) + -3*8\/96. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2127, -4264, -6403, -8544?\n\"Answer: -l**2 - 2134*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63499996 = -5*q + 2*p, 0 = 2*q - q + 3*p + 12700006. What is q rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*3.79\nAnswer: 18.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b - 18*b + 2866*b**4 - 2*b**2 - 2863*b**4 + (-b - 5 + 5)*(2*b**3 - b**3 + 0*b**3) - b**4 - 4*b**4 - 4*b**4.\nAnswer: -7*b**4 - 2*b**2 - 23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose -45 - 27 = -4*k. What is the least common multiple of v and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -7*v**5\/30 + 5*v**3\/2 + 12*v**2. What is the derivative of a(m) wrt m?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133221 (base 4) in base 7?\nAnswer: -23563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78826.34 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*n**3 + 93*n**2 + 2 wrt n?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 - -163. Suppose -19*d + 17*d + 18 = l. Let h be (1*2)\/2 - -26. Calculate the highest common factor of h and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/3 - 1016*r**4\/3 + 124438*r**3\/3 - 2616284*r**2\/3 + 9004552*r\/3 - 8523152\/3 = 0. Calculate r.\nAnswer: -613, 2, 22, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b. Let o(g) = -9*g. Determine o(y(s)).\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -0.9.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/6 + 3*n**2\/2 + n. Let q(g) = -g + 3. Let d be q(-5). Suppose d = 3*y - 5*y. What is u(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-12) - 4 - (-224)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70686 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-4 + -2 - -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 4. Suppose 4*f - 144 = -t*s, 0 = -f - 2*s - 0*s + 33. What is the units digit of 552\/f - (-4)\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(-2))\/((-10)\/(-2520)). Suppose 11*l + w = 22*l. Does 42 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:30 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from padddaagaa. What is prob of picking 1 a and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -844787259 to the nearest ten thousand.\nAnswer: -844790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(1728))**2 - (((sqrt(360) + sqrt(360)*2)\/sqrt(10))\/((sqrt(972) - (sqrt(972) + sqrt(972)*1)) + sqrt(12)))**2.\nAnswer: 442341\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149150 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - -1 - (-7 - (6 - 2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1218\/(-1785) - (-4)\/(-34)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 5*h = 0. Suppose 18 = 6*c - h*c. Solve -5 - 1 = c*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2622000 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9872 + 7296 = 24*o + 5528. What is the least common multiple of o and 582?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*w - 3*w. Let n = w - 3. Suppose -n*d = -3*i + 4*i - 39, 5*d = 5*i - 95. What is the highest common factor of 168 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*o - 5486*o + 1800 = -1830*o - 1789*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - d + 626 = -w, 2*d - 834 = -4*w. Let c = 216 - w. Solve 2*b + 3 = 2*g - c, -4*b = 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 11 + (9 - (2 - -11)) + -37 + 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f - 21*f - 70 = 0. Calculate the greatest common factor of f and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:29 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d - 22*d)*(0*d + 4*d - 3*d) in the form s*d**2 + c*d + f and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6)*0)\/1. Let o(u) be the first derivative of u**3 + 2 + 1 + 1 - 3*u + s*u. Factor o(x).\nAnswer: 3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 183. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 143*r - 144*r - 2075, 3*r = 0. Which is bigger: -419 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-5)*(-45)\/(-9). Suppose a*w = 649 + 27. Suppose 0 = 3*j - c - 3*c - w, -4 = c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - ((-55 - 31) + 30).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d + 30. Let v be ((-2)\/3 - -2)*d. Solve v - 3 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4691 - 11*w**3 + 4691.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 2*a - 1. Let t be k(1). Let j = -203 + 213. What is the highest common divisor of j and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801462846 to the power of 1\/4, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -62 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4, -2\/5, -39 in descending order.\nAnswer: 3\/4, -2\/5, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20)\/(5*(-5)\/150).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3368, 2\/15, -6.5, 0.3 in decreasing order.\nAnswer: 3368, 0.3, 2\/15, -6.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92648?\nAnswer: 2, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*k + 28 = 392*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 58*d**2 + 62*d - 262. Calculate q(57).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2709354 years in months?\nAnswer: 3.2512248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 35. Determine p(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 100*y**4 - 440*y**3 + 1930*y**2 + 14525*y + 12250 = 0. What is y?\nAnswer: -10, -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/64 and -131\/24?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*v - 4*v. Let f(s) = 1 + 7*s**2 + 0 - s**3 - 3*s - 2. Is f(v) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*w**3 + w**2 - 34*w wrt w?\nAnswer: 126*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144523881*l**3*t + 1365599*l**3 - 23*l wrt t.\nAnswer: 144523881*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*x - 2*x + 0*x + x**3 - 11*x**3 to j + b*x**2 + k*x**3 + a*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*v - 147*v - 12 = 0. Which is the closest to -2\/3? (a) 0.2 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157595 + -157601. Let p = 0.4 + -1.2. What is the third smallest value in x, p, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 1, 8?\n\"Answer: 7*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 71295297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-377881)\/(-2331) + -161)*(-3)\/305?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-2 - 2)\/2. Suppose 0 = -q*b - b. Suppose b = 5*x - 2*t - 12, -2*t - 24 = -3*x - 5*t. Solve -x*s - 5*l = 15, -10 = s + 4*l + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 19 = -4*t - 17, 24 = 2*s - 4*t. Suppose -5*a - 20 = 5*i, 3*i - 2*a - 1 = s. Which is greater: -3\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**4*z + 59587*r**4 - 119*r**2 - 391*z + 1 wrt r?\nAnswer: 48*r*z + 1430088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a18 - -14315?\nAnswer: 15232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16752723 rounded to four dps?\nAnswer: -0.1675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*98838\/137275.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 32 + 22. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -66497180355?\nAnswer: 66497180354.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 81. Let l = 3.7 + 21.3. Let o = h - l. Which is smaller: o or -3\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 66464*d**2 + 164*d + 163. List the prime factors of i(-1).\nAnswer: 66463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*108\/(-18)*(-3)\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/13 (c) 16\/7 (d) -248\/861 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 2\/5 (c) 8\/7 (d) 0 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p)*(-3 + 6 + 0)*(229 - 443 + 170).\nAnswer: -264*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaavkbpkebbb. Give prob of picking 3 a and 1 k.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s - 2. Calculate m(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2630 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4 - 9*d**2 - 2*d**4 - 12*d**4 wrt d?\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 24*v**3)*(3*v - 1 + 1).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/17, 0.4 in increasing order.\nAnswer: -6, 1\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 6*f - 5*w + w, -3*w + 1015 - 982 = -4*f - 0*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 357.99789 + -358. Round m to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 20*z + 24. Calculate i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7813 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 5*z**2 + z**2 - z**2 - z**2 + 0*z**2 + (-2 + 2 + z)*(-2*z + 4*z - 4*z))*(2*z**2 - 4*z**2 - z + z**2).\nAnswer: 2*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = 5*a - 92. Suppose 0 = -2*n + 3*r + 55, -3*r = -4*n + 2*r + a. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.39 - 18.47. Put o, -2\/3, 0.3, 93 in decreasing order.\nAnswer: 93, 0.3, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**4 - 214*m - 642.\nAnswer: -4*m**3 - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 16. Let q be g(14). Let m be q + 0 + (-12)\/(-4). Let y(x) = -x**3 + 5 + 4*x**2 - 7 + 4*x - 1. Calculate y(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d**2 + 11*d + 4. Let v(o) = -15*o**2 - 6*o - 2. Let q(i) = -14*i**2 - 6*i - 2. Let b(a) = 5*q(a) - 4*v(a). Give -11*b(k) - 6*f(k).\nAnswer: -4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 15, 989*b + 3*g = 985*b + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 454 = 191*z. Let j(a) be the first derivative of -1\/5*a**5 + 1\/4*a**4 + 8 + z*a + a**3 - 5\/2*a**2. Suppose j(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02805337 rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in -33, -0.3, -4\/3, 2, 3\/4?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9755a (base 11) to base 7\nAnswer: -1130166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1127 + 1339. What is the remainder when w is divided by 194?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 + 3 = 0. Calculate the remainder when 39 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*26054\nAnswer: 130270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(9\/2)*g**(-18)*((g*g**28*g)\/g)**(-33) assuming g is positive.\nAnswer: g**(-1941\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15381 - 15453. What is the smallest value in -0.06, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 + 39*p - 4. Let u be z(-5). Let t be (u\/90)\/(-5 - 32\/(-6)). Which is bigger: 9 or t?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 + 11 = 0. Let r be (-3)\/12 - 49\/n. Let p = -10 + r. Solve 3 = l + p*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 5}. What is prob of picking 2 e and 1 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -22) + -6 + -21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37547 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k + 12 = -2*b, 2*b - 28 = 5*k. Let u be -1 + -6 + (-4)\/(-1). Let j = u + b. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4\/2 + 10*w**3\/3 - 3*w**2\/2 + 5*w - 2715. Calculate a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17095, 17001, 16749, 16261, 15459, 14265?\n\"Answer: -13*i**3 - i**2 + 17109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 15*j**2 + 7*j + 11. Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 7722*i - 758443.\nAnswer: (i - 7819)*(i + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42002\/4)\/(2511\/(-360) + 7). Let m = 2471020 - l. Round m to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (sqrt(19) - sqrt(19)*1)) + 1)*2)**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 60343.31374 to 0 dps.\nAnswer: 60343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*q - 15, -2*v + q = -5*v - 5. Suppose 1050*z - 1049*z = 3. Put z, 0, v, -1 in descending order.\nAnswer: z, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1291 - -1311. Let n(h) = 10*h**2 + 5*h. Let y be n(-4). Let s = y + -81. Calculate the remainder when s is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 183)\/(-360)*-2*29*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 + 2*l**3 + 6*l + 1. Let a be t(-6). What are the prime factors of 12\/18 - (-26)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604 divided by -5.\nAnswer: -604\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.12 + -2.88. Which is the nearest to 12? (a) 0 (b) g (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.767 + -12.7636. Let s = 0.1 + -2.1. Let r = s + y. What is r rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9590*l. Let a(o) = 7*o - 2. What is f(a(v))?\nAnswer: -67130*v + 19180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 take away 0.0326?\nAnswer: -40.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 4*w**2 - 2*w - 1. Let h(c) be the third derivative of c**4\/24 - c**2. Let v be h(-4). Give n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197335?\nAnswer: 5, 43, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 791, 662, 319, -346, -1441, -3074?\nAnswer: -5353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35863 * 1.197.\nAnswer: -42928.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1460, 1458, 1468, 1496, 1548, 1630, 1748, 1908?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*v - 2*v, -9 = -3*y + 4*v. Let b be -98 + 2\/(-2)*y. Let h = b + 256. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:15 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/24 - z**3 - 2*z**2. Suppose 8*a + 63750 - 63726 = 0. Calculate f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -3. Suppose 3*k = -k - h. Let y = 55\/4 + -14. Put 0.3, y, k in decreasing order.\nAnswer: 0.3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*2)\/sqrt(10))\/(sqrt(288) - (sqrt(288) + (-4*sqrt(288) - sqrt(288))) - sqrt(2)).\nAnswer: 2*sqrt(3)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 287, 779, 1593, 2801?\nAnswer: 4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -117, -195, -279?\n\"Answer: -3*s**2 - 63*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213554 is divided by 30504?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/42 + v**3 + 7*v - 1. Suppose d(a) = 0. What is a?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 34*p**2 + 108*p + 173. Let o be l(37). Let k = -57 + 336. What is the highest common factor of o and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/45 in 0.4, 1, -7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/16 in 4, 6, -3, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14389697 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 x when three letters picked without replacement from hxxyxxxho?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1316, -1319, -1322, -1325?\n\"Answer: -3*n - 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/25, -2, 0.098, -1\/5, -24\/5 in increasing order.\nAnswer: -24\/5, -2, -6\/25, -1\/5, 0.098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 48*q**2 + 23*q + 82. Let u be s(-5). Suppose 1341 = 38*t - u. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00281982 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460479474?\nAnswer: 2, 3, 7, 13, 73, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.67 - -1.33. What is the biggest value in 0.1, 2\/3, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 0.073489894356526.\nAnswer: -0.126510105643474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135*r**2 - 16*r**3 - 135*r**2)*(0*r + 4*r - r).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*i + 9 + 9, i = 4*g - 19. Solve w - g*t = -0*w - 5, 0 = -4*w - 4*t - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19779008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 913 and 127181813?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3294 by 9.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*t**3 + 17*t**3 + 2*t**3 - 9*t**3.\nAnswer: 59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + (-2*sqrt(170))\/sqrt(10) - (sqrt(170)\/((sqrt(20) - sqrt(320))\/sqrt(2)))**2) + 3)*-2.\nAnswer: -4*sqrt(17) + 110\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h + 3. Let y be i(-3). Suppose b = -t + 3, -22*t + 16*t + 4*b - 12 = 0. Sort -7, y, 3, t.\nAnswer: -7, y, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**4 - 7*c**3 - c**2. Let h(a) = 7*a**4 + 25*a**3 + 196*a**2 + 138*a. Let n(s) = h(s) - 5*m(s). Factor n(y).\nAnswer: -3*y*(y - 23)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25931 in 7\/10, 0.98, -2?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 419 - 672. Let v = n - -253.0000372. Round v to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70.94 or 0?\nAnswer: 70.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -268.248 - -1.248. Is 0.1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/3 (b) 2\/17 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2116 (base 9) to base 14\nAnswer: -7d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -584725320 divided by -23\nAnswer: 25422840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371 + -371.2. What is the nearest to w in -0.1, -3, -1, -1.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 20092*y**3 - 8*y**2 + 6*y + 2. What are the prime factors of m(1)?\nAnswer: 2, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27015 times 5\nAnswer: -135075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t. Let r be ((-2)\/(-4))\/((-2)\/(-4)). Let p be -3 + r - (0 - 4). Suppose -b - b = p. Determine n(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 1484.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6970558 to the power of 1\/2, to the nearest integer?\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/4*14\/154)\/(10\/3). Let b = 140\/627 - -8\/57. Let l = b - i. Sort 0, 5, -3, l in increasing order.\nAnswer: -3, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2009.4 and 0.058.\nAnswer: 2009.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*f + 86*f - 42. Let s(q) = -2 + q - 2*q**3 + 2*q**2 - 6*q**2 + 3 + 3*q**3. Is 9 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -2\/7, 3.\nAnswer: -2\/7, 3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/156 and -75\/2942888.\nAnswer: 8828664","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert 20134 (base 7) to base 9.\nAnswer: 6617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 5*h + 6. Let r be o(4). Suppose 0 = r*k + 6, -2*k + 6 = -u - 2*u. What is the units digit of -1*(2 + u\/2) - -183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10)*2))\/(2*sqrt(648)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292032 is divided by 649?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -92.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 187. Let i be l(20). Which is bigger: -68 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 2756*m\/5 - 5472.\nAnswer: -2*(m - 1368)*(m - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553402 is divided by 858.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 172*o**2 + 3403*o - 3446. Give s(-190).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1)*1410\/(-4). Suppose 0*f = -5*f + i. What is the tens digit of (-4 + 5)\/(3\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:36 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.144 (b) -1\/64 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.39. Let o = p - -0.47. Sort 1, o, 2 in increasing order.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 114*m\/5 - 236\/5.\nAnswer: 2*(m - 59)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2687496*t**2*z**3 + 579*t**2*z**2 - 1216*t**2 + z wrt z.\nAnswer: 16124976*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 4, 6, -3 in descending order.\nAnswer: 6, 4, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 60\/24*((-9)\/3)\/3\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let i(a) = -16*a - 157. Let m be i(-10). Suppose -d = -m*d - 4*d. Put -2, s, d, 3 in decreasing order.\nAnswer: s, 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4230850?\nAnswer: 2, 5, 13, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/2 - 2809*p**2\/2 - 987012*p - 985608 = 0. What is p?\nAnswer: -1404, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 933038950 to the nearest one million.\nAnswer: 933000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 2*q**2 + 5*q - 2. Let k be y(3). What is the first derivative of -130 + 43*b**k + 211 - 103 wrt b?\nAnswer: 172*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*g - 45. Let q be 4\/14 + (-4662)\/(-147). Let u = g - q. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/54 - 233*d**3\/27 - 26*d - 2. Factor c(i).\nAnswer: 2*i*(i - 233)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/5 + 6*f**4\/5 + 3*f**3\/5 - 2*f**2.\nAnswer: f**2*(f - 1)*(f + 2)*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -63*z - 120*z - 902 + 4166 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 561 + 561. Solve -10*k = -u*k - 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*f - 162*f = 4*l - 1302, -3*f = -4*l + 1326. Is l greater than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3587*m**3 + 1762*m**3 + 1822*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*n = -0*q - 9, -2*q + 19 = 3*n. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 21*a**5 - 4*a + 5*a**3 - 23*a**5 + 2*a**4 - 4*a**4 + 2*a**2 + a**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/2)*a**35)\/(a*a*a**28*a\/a**(-1\/2)))**(-2\/47) assuming a is positive.\nAnswer: a**(-10\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 1. Let t = n + -24. Factor 1\/2*g**3 + t + 6*g + 3*g**2.\nAnswer: (g + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 192.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 142. Differentiate -7*a - 16 - 30 + 20*a**3 - 15*a**m - 56 wrt a.\nAnswer: 15*a**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*(-42)\/4. Let z be (0 + -1)*(8 + i). Let a be 11 - z\/2*-4. Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 8 = -10*d. Suppose d*x - 2*h = -2, 20*x = 18*x + h. Solve 2 = p + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j + 101*j = -181 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 17. Let s be k(-11). Let w be 2\/5 + 16\/10. Suppose 0 = o + 2 + w. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(500) - sqrt(500)))**2 + sqrt(500) + sqrt(10)\/(-2*sqrt(10)\/sqrt(5)).\nAnswer: 499*sqrt(5)\/2 + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6497317\/198 - -32815. Find the common denominator of 57\/374 and d.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(sqrt(63))**2.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 23220623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509104, 1018083, 1527062, 2036041, 2545020, 3053999?\nAnswer: 3562978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.24204.\nAnswer: 0.024204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*r = -18, -3*q + 3*r + r = -34. Suppose 0*o = -o + 4*v - 1, 0 = -o + 3*v + 2. Let k = 0 + o. Calculate the least common multiple of k and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose 0 = -5*y + 4*w + 2150000, 3*w + 546781 = r*y - 313219. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**4 + 68*q**3 - 72*q**2 = 0. What is q?\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 v when four letters picked without replacement from yyvvyyvyyvyyyyvyvyv.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06234 + -3.0145?\nAnswer: -2.95216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/((-49)\/30) + 56\/(-196). Let f(z) = 7*z**2 - 4*z. Let k(p) = -13*p**2 + 9*p. Determine c*k(j) + 9*f(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65131\/12 - -5432. What is the common denominator of 19\/336 and s?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -163, -351, -703, -1273, -2115, -3283, -4831?\nAnswer: -6813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*x + 3*y, -3*y = x - 2*x + 2. What is the remainder when 43 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 + 7 = 0. Suppose -4*y - 2*l - 22 = -8*y, -4*y + 7 = a*l. Let i = -83 - -86. Solve -j = -i*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225612 + 332790 = 13*u. Suppose -5*t - u = -177954. What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1537*s**3 + 10*s**2 + 9.\nAnswer: 9222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by 83308?\nAnswer: -245\/83308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -15, -2, 1, -5, 0.12?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 6*y - 2. Is h(10) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10004 (base 7) to base 11\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 1\/2, -438, -8, 27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049233 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111338 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7368\/11 + -669. Let u = k + -16\/33. Factor 1\/2*q**4 - 1\/3*q**2 - u*q**3 - 1\/6*q**5 + 1\/2*q - 1\/6.\nAnswer: -(q - 1)**4*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 103, 2\/29.\nAnswer: 2\/29, 3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 5. Suppose -21 = -3*h + 3*q, -7 = -0*h - h - 2*q. List the prime factors of o(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**2 - 7*k + 9. Let s(d) = -d + 1. What is -f(r) + 6*s(r)?\nAnswer: -12*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in -0.33, -2, -6\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20476257*t**3 - 17906210*t**2 wrt t.\nAnswer: -122857542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaqykqkkaaq. Give prob of picking 1 k and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1045 and 3080?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12044 + -133?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -5*1*sqrt(363) - (-5*-1*sqrt(363) - ((sqrt(363) + 0)*1 + sqrt(363)))) + -4)*-3*3)**2.\nAnswer: 28512*sqrt(3) + 1882116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -33?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 919\/18282 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 10 + (4 - 8). Suppose 0 = -g + c - 16. Let f(b) = b**3 + 8*b**2 + 5*b - 6. Calculate f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18191403 a multiple of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h**3 + 129*h**2 - 124*h - 645. Give p(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -585\/4 + 147. Suppose 4*g = 0, 0*x + 2*g + 8 = 2*x. Let o(n) = -n**2 - 357*n - 4803. Let y be o(-14). Sort y, x, c, 2 in descending order.\nAnswer: x, 2, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 + 193 + 2 + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.436114787 rounded to three dps?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 50.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/72*-4)\/((-17)\/561)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 11) in base 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 5*b + 6, 685 = -2*b + 4*f + 681 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*2)\/(sqrt(16)\/sqrt(8)*-6).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -169 (b) 2\/3 (c) -13 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -62*t**2 + 0*t**3 + 0 + 1\/3*t**4 + 0*t. Let j(y) = -3*y. Give j(i(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 33779163 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 7)\/2 - (-174)\/29?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, a: 2, c: 1, g: 1, w: 2}. Give prob of sequence gac.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15, j + 1122 = -9*d + 14*d. Suppose l + 2*l = d. What is the remainder when l is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19758.\nAnswer: 2, 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8)**(-3\/25)\/((g*g**(10\/7)\/g)\/((g*g\/(g\/g**(-2\/71))*g)\/g)))**(-49) assuming g is positive.\nAnswer: g**(123221\/1775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920724 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 15*m - 7. Let z(o) = o**2 + 8*o + 4. Suppose 0 = 5*x - 4*y - 67, -x - 5*y + 7 = 11. Calculate x*z(p) + 6*h(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.52975, 3, 1\/3, 6, 1\/9 in descending order.\nAnswer: 6, 3, 1\/3, 1\/9, -0.52975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(45\/6)*-3. Suppose -f + 12 = w*p, -f + 8 = 4*p - 14. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -4, -34 in decreasing order.\nAnswer: 0.1, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 18 = -4*u - 0*u, 0 = -z + u - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1.06.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004033714061 to 7 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*n**2 + 81*n**2 + 94*n**2 + 94*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - (16 + -30)) - 13.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -1\/12*q**4 + 2*q + 0*q**5 - 24 + 3\/5*q**6 - 3\/2*q**2 + 1\/6*q**3. What is the second derivative of p(y) wrt y?\nAnswer: 216*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*r + 4*s + 7, 0 = -3*r + 4*s + 60. Suppose -r - 5 = -l. Let o = 7 + -2. Solve -o*m - l = -1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688532?\nAnswer: 2, 13, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, -68, -174, -284, -398, -516?\n\"Answer: -2*g**2 - 96*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010 (base 2) in base 4?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-49)*70\/(-75))\/(-8 + (-126)\/35)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.0144.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*s**5 + 5 + (-s + s - s)*(-17 + 17 + 29*s**4) + s**5 + 0*s**5 + s**5.\nAnswer: -29*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -m. Suppose m*q + 402 = 6*q. What is the remainder when q is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*d**5 + 52*d - 104*d + 52*d + 1 - 66*d**2 wrt d?\nAnswer: 6300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6869266 - -549513137\/80. Let g = -1407\/4 - y. Let w = g + 121\/1040. Which is the biggest value? (a) w (b) -2\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -463 + 902. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-1408)\/11))\/(50\/16)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 + 10*q**4 - 8*q**3 = 0 for q.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116663416*w**2 - 116663416*w**2 + 81*w**3.\nAnswer: 81*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -75, -113, -153, -195, -239?\n\"Answer: -x**2 - 33*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4145 divided by 78\nAnswer: -4145\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:24 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 19 = 2*s. Suppose -5 = -z + 5. Calculate the remainder when s is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + 2*sqrt(187) + sqrt(187))*5)\/sqrt(11).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllilillllllii. What is prob of picking 3 l?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 36*n + 167. What is the smallest common multiple of 9 and u(36)?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626262919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 882 + -313. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d + 6*d - 56*d + 3)*(d**2 + d - d).\nAnswer: -38*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 3*c + 11. Give n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 1, -1\/12 in decreasing order.\nAnswer: 41, 1, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76528008, -306112047, -688752112, -1224448203, -1913200320?\n\"Answer: -76528013*q**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**5\/5 - 3*d**4\/2 + 607*d**2\/2 + 3532*d + 4859. What is the derivative of z(i) wrt i?\nAnswer: 8*i**3 - 18*i**2 + 607","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7720?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a6 - -7988?\nAnswer: 77b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 6. Suppose -f*b + 28 = 5*b. Suppose -z = 3*t - 18, z + b*z - 35 = -4*t. Solve w + i + 15 = 5*w, t*w - 21 = 2*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 54*m + 13. Let y be i(-2). Let d = -56 - y. Suppose 0*q = r + q - 191, r = 4*q + 201. What is the remainder when r is divided by d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302*f**2 - 9*f - 26 wrt f?\nAnswer: -604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -585308*d**2*p**2 - 231363*d*p**2 wrt d?\nAnswer: -1170616*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*v + 2\/5*v**2 - 2.\nAnswer: 2*(v - 5)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14469\/(-13091))\/((-2)\/38).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-21)*13\/(715\/33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 10*u + 90036 = -9*u. What are the prime factors of u?\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71974 and 35564662.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -4638.\nAnswer: 278.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 5, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2770847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52773?\nAnswer: 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 4 (c) -0.4 (d) 1\/5 (e) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 8*j - 4*j + 182504, 109495 = -3*u + 5*j. Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3051 and 667039.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/20 + r**4\/2 - 4*r**3\/3 - 3*r**2\/2 + 5*r. Let c be s(-7). Let j(q) = q**3 - q + 1 + 0*q**3 - 3 - 4*q**2. What is j(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 104*i**2 + 37698*i - 1435896 = 0.\nAnswer: -132, 37, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 202223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1 + 0 - 1 + 4 - 2 - z. Let c(a) = 5*a - 13. Determine 6*c(y) + 39*f(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 and 87\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -452*o - 109. What is the tens digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023754 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 199, 291, 453, 709?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**6\/3 - p**4\/12 - 16*p**3\/3 - p**2\/2 + 10*p. What is the second derivative of t(l) wrt l?\nAnswer: -120*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*g + 123 = -418*g + 282*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) 6 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 2, y: 6}. What is prob of sequence ry?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (27 - (19 + 2))) + (0 - 0 - 58)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(-1 + 1 + r + (-3*r - r + 2*r)*(4 - 4 + 2) + 4*r + r + 7*r)*(0 + 0 - 3)*(3 - 4 - 5).\nAnswer: 324*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 6 - (-5 + -1). Suppose -o - 1 = -x. Suppose -6 = -d - o. Do d and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 3. Let h be w(-12). Let p = -21 - h. Let a(i) = i**3 - 7*i**2 + 6*i - 4. What is a(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1350358842 to the nearest 100000.\nAnswer: -1350400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21034543 (base 7) to base 12.\nAnswer: 71646a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -584, -1135, -1686?\n\"Answer: -551*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 16329, 0 in decreasing order.\nAnswer: 16329, 41, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1482, 5947, 13520, 24309, 38422, 55967?\n\"Answer: 18*y**3 + 1446*y**2 + y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -144348647010 and 0.2?\nAnswer: 144348647010.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amsaaamya. Give prob of picking 1 y and 3 a.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 452*i\/3 + 1248.\nAnswer: -2*(i - 234)*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxxxxxxxmttxcdxxct. What is prob of sequence tm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*y**2 + 165*y**2 - 17*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c50 (base 15) to base 2.\nAnswer: -101011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 75. Let c(h) = h + 1. Let y be c(-22). Let b = 26 + y. Solve 0 = -b*d - 2*p + 5 + 5, 0 = 5*d + 3*p - i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6739 - -5.3261. Which is the fourth biggest value? (a) 1 (b) g (c) -4 (d) 19 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 4. Let k be i(3). Let t be 42\/(-20) - -2*k. Let o be 12\/15 - 1 - 252\/(-210). Is o equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344776078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 17, -8.48.\nAnswer: -8.48, 17, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 - 4*y + 4*y**2 - y**3 + 6*y**3. Let o(q) be the second derivative of q**3\/3 + 9*q**2\/2 - 5*q. Let h be o(-7). Give p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 158 = -t. Let s = t - 1768\/9. Which is the biggest value? (a) s (b) -2\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 11*g**2 + 4*g + 27. Let f be w(11). Let a = f + 84. Suppose 3*v + 0*q - q = 115, 4*v - q = a. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 56 + 16 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 4.162?\nAnswer: -4.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21035.2*1.25\nAnswer: -26294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 370, 741, 1112, 1483?\n\"Answer: 371*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 243?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.84 and 2.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -0.1, 13, -3\/5, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 2*m + 24. Let o(f) = -5*f**2 - f - 22. Let n(p) = 3*j(p) + 2*o(p). Determine n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**4 + 2*y**4 + 0*y**4)*(-4 + 4 - 2) - 2*y**4 + 1 - 1 + 8355*y**2 - 8355*y**2 - 1214*y**4 as g*y**4 + h*y + j*y**3 + t*y**2 + b and give g.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 + 91*c**2 + 2*c + 449508 with respect to c.\nAnswer: 3*c**2 + 182*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -141530 (base 6) to base 4\nAnswer: -3100332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 11*f**2 - f + 14. Let p be g(11). Solve -p*b - 8 = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - b - 5*b)*(2*b**2 - b**2 - 3*b**2) in the form d*b**3 + x + k*b**2 + w*b and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 9*x + 12. Let y be w(9). Suppose 0 = 3*a - 27 - y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:27 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let m = x + 3. Suppose -90 = -m*g + g. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 451*f**2 + 7 + 452*f**2 - 33*f + 6 to the form m*f + t + u*f**2 and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 7*o - 1. Let m be i(-3). Does 3 divide 5\/(-4)*(-60)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28717 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 37, 12, -43, -140, -291, -508, -803?\n\"Answer: -2*f**3 + 3*f**2 - 2*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -2, -11, -24, -41?\n\"Answer: -2*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147864 - 31633. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68576 is divided by 473?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -4. Let z = 8 + s. Suppose -z - 7 = -2*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.9203 + -0.0697. Let u = l + 13. Let y = 0.09 + u. What is the closest to y in 5, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)*-3*-2)\/(sqrt(250)*2 + (2*sqrt(50))\/sqrt(5)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 - 4*y**2 - 2*y - 7. Is c(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2 - (-35)\/30)\/(-414 + 379).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.1209492 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from gvtqsvi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 - 21843*d\/5 + 12845748\/5.\nAnswer: -3*(d - 547)*(d + 7828)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-663)\/85*86\/258?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*c + 5 + 13, q + 3*c - 12 = 0. Suppose 0*t + q*t - 111 = 0. Let m = -103 - -116. Calculate the remainder when t is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 709921.0699 and -52.3?\nAnswer: 709973.3699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1288100 to the nearest 10000.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10961551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 5, 0.6, 2\/5, 1\/4 in decreasing order.\nAnswer: 5, 0.6, 2\/5, 1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 36.0561 kilometers?\nAnswer: 36056.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 24*a**3 + 3*a**2 - 24*a.\nAnswer: -3*a*(a - 8)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5*m - 15*m**3 - 7*m + m + 6 to i*m**2 + r + a*m + o*m**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120934 is divided by 443?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) - 215\/45. What is the third smallest value in 3, s, -4, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0562365g?\nAnswer: 56236.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/19, -0.4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-21))\/((-2)\/7). Let i(g) = -3*g + 2. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - 1.4. Which is the third smallest value? (a) -1 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/329 and 13\/42?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.248 + -1.752. Put 5, p, 1, 2\/9 in descending order.\nAnswer: 5, 1, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/5 in 2, -19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -20*f - 2*t - 14 - 9, 7*f = -3*t - 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 8 = -36*x. Let i = 0.02 + 3.98. Which is the third smallest value? (a) i (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 267*f - 39. Is m(4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/5 - -5)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -570, -1131, -1706, -2301, -2922?\n\"Answer: -w**3 - w**2 - 551*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 2*o - 1. Let n(f) = -f**2 + f - 1. Suppose 3*s - 2*k + 16 = 0, 4*s + 0 + 24 = 4*k. Let j(m) = s*n(m) - x(m). Determine j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**6\/90 + 4*s**3 + 6. Let h(o) be the third derivative of k(o). Let q(p) = 4*p**2. Calculate h(q(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 11 = -4*c. Suppose 52000 = -c*q - 2*q. What is q rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -12303?\nAnswer: 12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487490942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 16*v + 39. What is y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 403384 and 2823696\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363648 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 - 1650*c - 680625 = 0.\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3226668?\nAnswer: -1\/806667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by -2\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -433?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.428 - 0.438. What is the nearest to -0.1 in a, 4, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejgeuvj. What is prob of picking 1 j and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 1261*n**2\/3 + 142714*n\/3 - 270368.\nAnswer: (n - 1136)*(n - 119)*(n - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9\/2)\/l)**(4\/17) assuming l is positive.\nAnswer: l**(-22\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 54, 78, 100?\n\"Answer: -a**2 + 29*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242640553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + 88?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 23*o**2 - 31*o + 19. Let y be t(24). Let p = y - -151. Solve -w = -p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 31, -2, 5, 1, 2.\nAnswer: -2, 1, 2, 3, 5, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142453 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/15, 1, -250, -3.\nAnswer: -250, -3, -0.5, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1741*j + 121693. Calculate q(70).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 40, 59, 78, 97, 116?\n\"Answer: 19*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 288*g + 50. Suppose -38*b - 5*w = -35*b - 16, -b + 4*w + 28 = 0. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4615 to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010100000 (base 2) in base 14?\nAnswer: -26ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 65*l + 16 = -61*l, -4 = q - l. Let n = -3 - -2.96. Which is the closest to 1? (a) n (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 14082.\nAnswer: 70410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 641421\/5 or 128283?\nAnswer: 641421\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 332405252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2701 = -v, v = 14*h - 16*h + 2695. What are the prime factors of v?\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/13*(3*1\/(-27) + (-2205)\/2025)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l + 1. Let u(k) = 7*k + 1. Let q = -167 - -161. Determine q*b(d) + 5*u(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728705 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -97.966.\nAnswer: -98.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12. Let t(w) = -w + z + 3*w**2 - w**2 - 3*w**2. Determine t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n - 74*n = -3. Suppose -w - 2*l + n = 0, w - 5*l = -w - 16. Which is the biggest value? (a) -0.1 (b) -0.02 (c) w (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:00 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 805489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 378056717 a multiple of 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12765 + -4.12765. Let y = -1.4 + -0.4. Let l be 1\/2*(-8)\/20. What is the nearest to y in l, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:36 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*i = b + 104, 4*b - 122 = -2*i. Suppose m - 3*d + 14 = -m, 0 = -4*m + 4*d - b. Let n(g) = g**3 + 7*g**2 - g + 5. What is the tens digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 28 = -4*y + 90, 3*g - 119 = -5*y. Let f be (0 + -1 + g)*-1. Let x = f - -39. Solve x*p - 2 - 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-18) + 6\/4. What is the biggest value in -1\/4, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/11, -4\/5, 5 in descending order.\nAnswer: 5, 3\/4, -2\/11, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6)*-1281*(1 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - d - 1. Let y(v) = -v**3 - 44*v**2 + 3485*v + 205. What is the remainder when y(-85) is divided by q(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 32. Let t be 1 - p - 2*-2. Solve f - 5*f = -t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14417108 to the nearest integer?\nAnswer: 3797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1253\/8 + 157. Let s = -7\/24 - d. Which is the closest to 0? (a) s (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 82232 - 5*c + 82232)*(c**2 - 5*c**2 + c**2) + (2*c**2 + c**2 - c**2)*(3*c - 3*c + 2*c) + 6*c**3 + 0*c**3 - 5*c**3.\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/(-3))\/(-4) + -2. What is the smallest value in -4, 5, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/2 + 12*t**5\/5 + 39*t**4\/20 - 8*t**3 - 96*t**2\/5 + 115*t. Determine s so that i(s) = 0.\nAnswer: -8\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2734 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s\/(s*s**10*s))\/s)\/s)\/s)\/s**13)**(-40) assuming s is positive.\nAnswer: s**1040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -3 - (-220)\/10. What is i in -8*i**4 + g*i**4 + 28*i**3 - 8*i**5 - 2*i**2 - 32*i**3 = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 8. Let p be y(-4). Let f be p\/22 + (-589)\/(-209). Solve -4*h - 3*u = 1 + f, -2*h - 2 = 5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*u + 183, -4*u + 55 = i + u. Suppose -i = -15*p - 0*p. Solve 4*a = f - 5 + 2, p*a - 3*f = 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199479, -398110, -596741, -795372, -994003, -1192634?\nAnswer: -1391265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -25*z - 50. What is the derivative of -24 + 58 + 53 + 1 + z*d**3 wrt d?\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - -1)*(-1 + 0). Let x(v) = v**2 + 39*v + 9. Let p(o) = -2*o - 1. Let h(n) = -15*p(n) - x(n). Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 19002*s - 19002*s. Let f(r) = 188*r. Give f(j(y)).\nAnswer: -188*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 8:01 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15919, -15749, -15579, -15409, -15239, -15069?\n\"Answer: 170*k - 16089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Suppose o - 4*q = 15, 4*o = o + 5*q + 17. Let g be n(o). Find the second derivative of g*k**3 - 3*k**3 - k - k wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/5 - 14*x**2\/5 - 53*x\/5 - 8 = 0.\nAnswer: -8, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001578031138 rounded to 7 decimal places?\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3857 and -9\/1064.\nAnswer: 30856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 59*s - 17*s - 12*s - 17*s - 14*s. Let j(h) = -h**2 + 359*h. Calculate j(o(c)).\nAnswer: -c**2 - 359*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -735 + 741. Which is the fourth biggest value? (a) 1\/12 (b) 5 (c) w (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrp when three letters picked without replacement from {r: 8, d: 10, p: 1}.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 0 + 2*x**3 + 4*x**4 + x**3 in the form n*x**4 + c*x**2 + h*x + w*x**3 + i and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/209 or 21\/38764?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 19*z = 5. List the prime factors of ((-1)\/2)\/((-726)\/(-732) - z).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/(-42) - (16 + -12)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z + 4. Let s be v(-3). Suppose 255 - 1076 = -f. Let a = f - 820. Is s greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-78)*8\/(48\/(-9))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, z: 1, l: 2, r: 6, u: 1}. Give prob of sequence zl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/11 - 397908*p**3\/11 - 2398914984*p**2 - 53026416227620*p + 159100839894414.\nAnswer: -2*(p - 3)*(p + 66319)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/20 + 2*b**3\/3 + 6*b**2\/5 - 72*b\/5 - 64. Suppose f(a) = 0. Calculate a.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 53750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.89.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75444 - 57554?\nAnswer: 15670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 64 in ascending order.\nAnswer: -7, 1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5 and -15\/161396.\nAnswer: 806980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3172 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22974200 to the nearest ten thousand.\nAnswer: -22970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11476, 9, 0.64.\nAnswer: -0.11476, 0.64, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbdobiwbdizoiow. What is prob of picking 1 b, 1 i, 1 w, and 1 o?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 13*j**2 - 21*j + 13. What is the remainder when 11 is divided by l(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-355)\/(-292) + -5 + 12\/3 and -7\/12?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpptpttptpoppqqpppp. What is prob of picking 1 q and 2 t?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292296229.\nAnswer: 292296229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7396 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (43 - -8) - 71?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1924, 1925, 1926, 1927, 1928?\n\"Answer: l + 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2414 or 2419?\nAnswer: 2414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 28 = q - 4*b, -q - 4*b = 13. Solve q*j = -5*z + 16, -7*z + 8 = -3*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, u: 2, h: 2, o: 1, q: 1, n: 1}. Give prob of sequence quuo.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 - 28*f\/3 + 686\/9.\nAnswer: -2*(f - 7)*(f + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 25*j - 114. Let c be g(-18). Calculate the highest common factor of 852 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 + 873 = 18*x. Calculate the remainder when 260 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 40.8. Which is the biggest value? (a) 0.5 (b) 46 (c) -4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 14*n + 32. Let a(w) = -35*w + 150. Let u be a(4). Let m be t(u). Sort m, -1, 0, -3.\nAnswer: m, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w. Suppose w*a = -5*a + 65. Let j = -9 + a. Sort j, -4, 5 in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2935 - 14.3?\nAnswer: -2949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -2\/3, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/44 + 63\/4. Suppose 6*g + q = 4*g. Let j(c) = -c**3 - 4*c**2 + 3*c - 9. Is j(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335 by -2.\nAnswer: -335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 4:39 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 9 = -3*q - 30, -4*q = 5*y - 42 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*r - 57, -4*w - r + 91 = w. Sort 2, w, -4.\nAnswer: -4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - -102110020210?\nAnswer: 102110021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j - 23*j = 27*j - 70892. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 126*r**4 - 79*r**4 - 87*r**3 - 50*r**4 as h*r**2 + u + f*r**4 + z*r**3 + v*r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-30))**(-17)*(l**(-2\/9)\/l)**(-37) assuming l is positive.\nAnswer: l**(4844\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 54120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a + a**2 + 4*a**2 - 6*a**2 + 0*a**2 - a**2 + 3*a**2 - 3*a**2 + (-a + 2 - 2)*(5*a - 3*a + 0*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35 and 14.11?\nAnswer: 20.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 2. Let p be b(7). Let o(u) = -5*u**2 - 4*u - 2. Let g be o(-2). What are the prime factors of p\/7 - 4\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40 + 326\/(-8))\/(3\/(-340)). Solve g = 33*w + 52 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3 - 3 - -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000001011 - 1000010?\nAnswer: -100001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let l(u) be the third derivative of 1\/12*u**4 + 0*u - 1\/6*u**3 + 1 - 3\/20*u**5 - 10*u**2. Determine l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 208111860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 658987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*a - 55727 + 132465 + 63500 = 2290*a for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3389 - 9*c + 1661 + 1684)*(-10*c**2 + c**2 - c**2 + (-2*c + 1 - 1)*(3*c - 2*c - 3*c) + c + 2*c**2 - c).\nAnswer: 36*c**3 + 176*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12151291 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00813748 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -312475.6.\nAnswer: 312475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, g: 1, n: 6}. Give prob of picking 1 n and 2 u.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**3 + 17*z**2 - 20*z - 17. Let y(p) = -p**3 - p. Let j(h) = -2*h**3 - 6*h**2 + 3*h + 6. Let f(m) = -j(m) + 4*y(m). What is -17*f(d) + 6*l(d)?\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50282 - 331093\/6. Suppose 4*v = -v + 24570. Let g = o + v. Find the common denominator of g and 45\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 1, -1\/217, 2\/11 in descending order.\nAnswer: 1, 2\/11, -1\/217, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 7. Let i = x - -12. Solve -1 = h - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1018926 - p - 1018926. Let y be 1*(7\/((-21)\/6) - -7). Determine g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 233 - 1449. Let j = w + 835. Calculate the remainder when j is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 8285699*i\/2 + 68652807918601\/4.\nAnswer: (i + 8285699)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -87, -131, -199, -297, -431, -607?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*r + 71*r = -405 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 1734*i**2 - 6972*i - 6984 = 0 for i.\nAnswer: -2, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 596237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**3 - 54*m**2 - 538*m wrt m.\nAnswer: 42*m - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 1, -2.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12937*h - 4080*h**3 - 1527 + 1527 - 2*h**4 + 3096*h**3 wrt h?\nAnswer: -24*h**2 - 5904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -v + 27, 2*j = -2*v - j + 51. Let q be ((-2)\/4)\/((-3)\/v). Solve -q*x - 6 = -2*k, -7 = -4*x + 2*x + 3*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - ((-6)\/174)\/((-23)\/((-113183)\/57))?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 2*v + 2. Let y be z(-1). Let m be y\/((-5)\/10) + -58. Let j be m\/(-6) + 6 + (-128)\/24. Solve 4*d - 4*u + 8 = 0, -4*d + 3*u - j = u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 - -0.3.\nAnswer: -122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745852337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19540 is divided by 215?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = -18. Suppose -3*a = 2*h - 221, -p*a - 5*h + 296 = -3*h. Suppose a = 3*o - 81. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 + s + 8. Let o be n(-6). Suppose 15 = o*z + 3*z. Suppose c = 3*a + 3*c - 18, 3*c = -z*a + 18. Solve a*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a + 4. Let j(s) be the third derivative of s**4\/24 - s**3\/6 + 12*s**2. What is 3*j(u) + v(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -99 - 3?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-124)\/(-12) + 1\/(-3). Suppose 0 = o + 4*v - 17, -2*v + f = 2*o - 0*o. Let d = o + -1. Solve d = -3*n + 16 - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 26292?\nAnswer: 26292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/2 + 322*m**2 + 20629*m\/2 - 33855 = 0?\nAnswer: -610, -37, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 5. Let q(g) be the second derivative of g**3\/6 + 2*g**2 + 7*g. Suppose 0*x + 56 + 7 = -21*x. Give x*f(s) + 4*q(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/5 + 9*z**2\/5 + 6*z\/5.\nAnswer: -3*z*(z - 2)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-8) + 6 + -8. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from {j: 5, a: 5, z: 1, s: 1, f: 1, h: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 7*x + 21*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101010001101010011110 (base 2) to base 9\nAnswer: 6483863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443.944 hours in microseconds?\nAnswer: 5198198400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 64, 97, 168, 289?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -0.81\nAnswer: 0.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.105 + -3.895. Let n = 122\/711 - -4\/79. Which is the second smallest value? (a) 0 (b) n (c) -0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -2 (b) 1 (c) 50\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + -4 + 2 + sqrt(300))*-5)**2.\nAnswer: 300*sqrt(3) + 7509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 7*l**2 - 6*l + 5. Let g be o(6). Suppose 15 = 5*a + g. Suppose 32 = a*f - q, 3*q = 3*f - 12 - 30. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2686012 - -3.269. What is v rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m - 61*m + 38*m.\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 - 6*n - 5. Calculate f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 131*x + 318. Let u be w(-63). Which is the closest to -0.2? (a) 240 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*i + 338*i + 86*i - 21*i to s*i + m and give s.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-502*(-4)\/12. Suppose i + 2*p - p - b = 0, -2*i - 4*p = -1006. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -337, -1926 in descending order.\nAnswer: 0, -13, -337, -1926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 - 5*l - 10. Let r(g) = -8*g**2 + 3*g + 10. Let d(s) = -5*n(s) - 4*r(s). Give d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 5*s - 4. Let p be g(6). What is w in w**2 + w**2 - 2*w**2 + 2*w - p*w**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q = -58*q - r - 2640, -4*r = 0. Is 165 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/40*28\/(-6)*1\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*v - 16, 19*d - 67*v + 71*v = -76 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = f - 15*p + 11*p, -3*f + 22*f + 47 - 116 = 3*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7585257223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1265248 and 115.822458.\nAnswer: 1265363.822458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*n - 5*m + 70 = -632*n + 1264*n, -16 = -8*m for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*g - 90, -3*z + 0*z + 270 = 2*g. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 34*i + 17. Let p be b(5). Let c = p - 21. What are the prime factors of c?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - 2*o**3 + (-2*o - o + 4*o)*(23 - 9 + 21)*(5*o**2 - o**2 - 2*o**2).\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13782084?\nAnswer: 2, 3, 1148507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301 - 58 = -215*f + 361 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/60)\/(1\/3). Which is the biggest value? (a) h (b) -2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 8*z + 12. Let t be o(7). Suppose -5*d + 3*f + 76 = 0, t*f - 16 = 2*d - 54. Suppose d*s = 29*s - 120. Solve 3*j + s = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2774002 smaller than -2774004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 - (-4 + 7)) + -2. Suppose -4 = -7*y + v*y. What is the second derivative of -2*p**5 - 41*p**4 + 41*p**y + 5*p wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 238*k + 958. Let b be x(4). Put -1, b, 4, 5, -3 in ascending order.\nAnswer: -3, -1, 4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d**2 + 8*d - 16. Calculate r(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -28. Suppose 3*f - 87 = 15. Let y = f - k. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244186395.\nAnswer: 3, 5, 71, 229283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/20 - -5\/4. Let y be (-10)\/(-4) + -1 - 1. Let x = -0.3 - -0.2. Which is the nearest to x? (a) y (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 3. Suppose -40 = -m*i - n, -3*i + 43 = -3*n + 7*n. Let c = 24 - i. Calculate the greatest common divisor of c and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1505 and 1554?\nAnswer: 334110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 4*i. Let r(n) = n**2 + 5*n + 2. Let u be r(i). Suppose -2*k + 4 = u*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(891) + 3)*4 + -4*(0 + sqrt(891))**2*2 + -4.\nAnswer: -7120 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/178, -0.4, 1\/53, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k - 8. What is the biggest value in -5, -1\/13, k?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -31*g**2 + 7*g - 20. Let b(f) = 60*f**2 - 15*f + 46. Calculate 3*b(n) + 7*p(n).\nAnswer: -37*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 34*p - 67. Let d be w(36). Solve 5*o - 3*i - 2*i + 25 = 0, -4*o = -d*i + 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-104)\/(-64) - (-3)\/(-4). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h = -34*h - 528 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 - 6*b - 1. Let l(w) = -19*w**2 + 13*w + 3. Let h(p) = 3*l(p) + 7*z(p). What is h(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 609603708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000576 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-y + 2*y - 2*y) - y + y + 11*y to the form u + a*y and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (-6 + -2 + 1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1395, 1394, 1385, 1362, 1319, 1250?\n\"Answer: -j**3 + 2*j**2 + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 + -95. Let q = -7 - -15. Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + p**2 - 6 - 3686*p**3 - 1 + 3557*p**3 + 2*p to z*p**3 + j*p**2 + k + u*p and give z.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-15)*30\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/18)\/(-4))\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, o: 1}. Give prob of picking 2 q and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 14*k - 5*k)*(2*k + k - 5*k)*(1 + 1 - 4)*(-k + 0 + 0 + (-k - k + 8*k)*(6 - 2 - 2) - 3 - 4*k + 3).\nAnswer: 196*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -74, -103, -148, -215, -310?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:07 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = 4*n + 26*n - 468 - 942 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**5 - 20*m**4 + 8*m**3 + 40*m**2 - 4*m - 20 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -1.2. Suppose -5*w + 4*w + 5*d = -12, 5*w - 5*d = -20. Let p be (-104)\/(-16) + (w - -1). What is the fourth biggest value in k, -1\/6, p, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:02 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbbeebebebbee. Give prob of sequence eebb.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**2\/2 + k + 120826. Let w be 20\/9 + 2\/(-9). Let c be 1 + (w - (-4)\/2). Calculate a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6*d + 16. Solve 5*w - d = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 4. Let q(a) be the third derivative of a**4\/24 - 5*a**3\/6 + a**2 - a. Calculate 4*q(y) + 5*u(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-686)*-7)\/(28\/49).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h - 1 + 3*h - 2 - 2*h. Let b be u(6). Solve 4*t - 21 = 5*r, 0 = 3*t - 6*t + b*r + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**(-1\/2)*j)**43)**21*(j**(-4)\/(j*j\/(j*j**(-2)*j)))\/(j\/j**(-2)*j*j\/(j\/(j**(1\/3)\/j))) assuming j is positive.\nAnswer: j**(24325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 - 2 = 0. Let m = 0.1 + 0. Let o = m + -3.1. Which is the closest to 1? (a) o (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 10 = 5*n. Suppose 6*w**2 + 8*w**n + 30*w - 11*w**3 + 9*w**3 + 18 + 4*w**3 = 0. Calculate w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d8 + -75d9?\nAnswer: -7401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*d - 17*d - 14*d - 27*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}