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2*f**4)*(0 + 0 + 3). 3*f**4 - 339 Expand 2*w**2 + 4*w**4 + 3*w**4 - 10*w**4 + 1 - w**4 - 1 + (-3*w**3 + 0*w**3 + w**3)*(0*w - 2*w + 3*w) + 0*w**4 + 2*w**4 - w**4. -5*w**4 + 2*w**2 Expand -3*w - 3*w + 4*w + 3*w - 6*w + 2*w + (w + w + 0*w)*(2 + 1 - 2) + 2*w + 1 - 1 + 12833 + 9*w - 12833. 10*w Expand (-72 - 649 - 536)*(3*a**5 - 2*a**5 + a**5). -2514*a**5 Expand (0*b - b - b)*(31 - 68 + 74) + (-1 + 4 - 5)*(b - 12 + 12). -76*b Expand (1 - 1 + 2)*(16*f**2 + 15*f**2 + 13*f**2) - 5*f**2 + 4*f**2 + 0*f**2 + 2*f + 2. 87*f**2 + 2*f + 2 Expand (3 - 5 + 4)*(8 - 40*x - 44*x + 86*x). 4*x + 16 Expand (-6*m + 0*m + m)*(20*m**2 - 57*m**2 + 20*m**2). 85*m**3 Expand -3 - q**2 + 3 + (-329 - 32*q + 329)*(-q + q + 2*q) + 1 + q**2 - 1. -64*q**2 Expand -5 + 0 + 4 + 5*w + w + 0*w - 2*w + (w + 3*w - 3*w)*(1 - 1 + 2). 6*w - 1 Expand -p**4 - 2*p**4 + p**4 + (1 + p**2 - 1)*(-3*p**2 + 6*p**2 - 2*p**2) + (0*p + p + 0*p)*(0*p**3 + p**3 - 3*p**3) + 30*p**4 + 1178 - 1178. 27*p**4 Expand 21 - 21 + 6*t + 2*t**2 + (-2 + 2 + 4)*(t - 4*t + 0*t)*(-1 + 1 - 2*t). 26*t**2 + 6*t Expand (j + 1 - 1)*(-j**4 - 15 - 5 + 19 - j**2). -j**5 - j**3 - j Expand -c**3 - c**3 + 3*c**3 + (7*c**3 - 2*c**2 + 2*c**2)*(0 - 2 + 3) - c**3 + 0*c**3 - 2*c**3 + (c**2 - c**2 + 3*c**2)*(2 - 2 + 2*c). 11*c**3 Expand (5 + 19 - 3 + u)*(-3*u + u + 4*u + (0 + 2 - 3)*(2*u - 3*u + 5*u)). -2*u**2 - 42*u Expand (-c + 15 - 15)*(4*c**2 - 4*c**2 - c**2)*(49*c**2 - 49*c + 49*c). 49*c**5 Expand (1250 + 554*y**2 - 550*y**2 - 321)*(-5*y + 3*y + 0*y). -8*y**3 - 1858*y Expand (6 - 1 - 3)*(-6*z + 3*z + z) + 6*z + 6*z + 4*z + 2*z - 2*z - 5*z. 7*z Expand 0*t - t - 5*t - 8 + 8 + 2*t + (-4 + 1 + 1)*(-5 + 4 - 1)*(-3*t + 7*t + 0*t). 12*t Expand (5*w - 2*w - w)*(3*w - 6*w - w) - 2*w**2 - 155*w + 155*w + (-4 + 4 - w**2)*(-3 + 4 - 3) - 4 + 3*w**2 + 4. -5*w**2 Expand 4*x**2 - 4*x**2 - 11*x**2 + (2*x - 2*x - x)*(4*x - 4*x + 2*x). -13*x**2 Expand (91 - 34 + 430 - 53)*(-2*p + 0*p + 10*p). 3472*p Expand (-10 + 10 + 6*b)*(2 - 2 - 6*b**2 + (-3*b + 0*b + b)*(b - 5*b + 3*b)). -24*b**3 Expand (-i**3 + 0*i**3 + 2*i**3)*(32 + 16 - 16)*(-2 - 2 + 3)*(2*i + 3*i - 2*i). -96*i**4 Expand (-43 + 8*o + 43)*(2 - 1 + 0)*(-9 + 9 + 3*o) + (0 + 0 + 2*o)*(o + 0*o + o). 28*o**2 Expand (-l + 2*l - 4*l)*(-2*l**2 + 3*l**2 + l**2)*(-2*l + 6*l - 6*l)*(-2*l - 4 + 2 + 0). -24*l**5 - 24*l**4 Expand (-u - 4*u + 3*u)*(-u**2 - u**2 - u**2) + (-1 + 4 - 1)*(0*u**3 + 0*u**3 + u**3) - 1 + 2*u**3 + 1 + (-3*u + 1 - 1)*(-2*u**2 + 2*u**2 + 2*u**2). 4*u**3 Expand -17*i**5 - 51 + 51 + (-9*i**2 + 6 - 6)*(4*i + i**3 - 4*i). -26*i**5 Expand (-2 - 12 + 13 + 25*h)*(-h**2 - h**2 + 4*h**2). 50*h**3 - 2*h**2 Expand 1 + 1 - 1 - f + (0*f + 4*f + 0*f)*(-1 + 0 - 3). -17*f + 1 Expand (-1 + 0 + 3)*(-5 + 3 - 2)*(70 - 70 - 39*q). 312*q Expand -h**4 + h**5 + h**4 + (-3*h**2 + 3*h**2 - 4*h**3)*(-4*h**2 + 3*h**2 + 5*h**2) + (-3*h + 0*h + 4*h)*(-5 + 2 + 7)*(h**4 + 0*h**4 + h**4). -7*h**5 Expand (166 + 2*d**2 + 101 + 151 - d)*(0*d + 0*d - 2*d**2). -4*d**4 + 2*d**3 - 836*d**2 Expand 2*h**4 - 3*h**4 - h**4 + (-h**2 + h - h)*(9*h**2 - 5*h**2 - 5*h**2). -h**4 Expand -3*m + 5*m + 2*m + 2*m + 0*m - 3*m + (0*m - 2*m + m)*(1 - 4 + 1). 5*m Expand (-7 - 2*b - 8 + 13)*(14*b**3 + 176*b - 176*b)*(-4 + 4 - 2*b). 56*b**5 + 56*b**4 Expand (5 - 4 + 1)*(-2 - 1 + 2)*(232 - 465 + 348)*(2 + 3 - 3)*(-4*p**2 - 2*p**3 + 4*p**2). 920*p**3 Expand (6*l - l - 4*l)*(-2*l - l - 2*l)*(-37*l - 9*l - l). 235*l**3 Expand (-1 + 2 + 1 + (0 + 3 - 2)*(-1 + 0 + 3) + 3 + 2 - 2 - 1 + 3 - 3)*(-1 - 3 + 1)*(0*d - 4*d + 2*d)*(-2 - 3 + 2). -108*d Expand (-443 + 30 - 828 + 197)*(3*n + 0*n - 4*n). 1044*n Expand 47 + 2*v**2 - 47 - v**3 + (-2*v**2 - 2*v**2 + 5*v**2)*(-3 + 3 + 2*v). v**3 + 2*v**2 Expand (-4*y + 0*y + 2*y + (-4 + 2 + 4)*(-4*y + y + 2*y) + (3 - 3 - 1)*(y - 3*y + 0*y) - 24 - y + 24)*(18*y - 130*y - 9*y). 363*y**2 Expand -24*r + r**2 + 5*r**3 + 24*r + (14*r**2 + 0*r**2 + 0*r**2)*(r - 5 + 5). 19*r**3 + r**2 Expand (2 - w - 2)*(1 - w + 14*w**2 + 27*w**3 - 74*w**3 + 44*w**3). 3*w**4 - 14*w**3 + w**2 - w Expand (0*p - 3*p + 4*p - 1)*(-4 + 4 - p**2)*(1 - 3 + 1) + p - p + p**3 + (-17 + 6*p + 17)*(4 - 4 + 2*p**2). 14*p**3 - p**2 Expand -5*k**3 + 5*k**3 - 2*k**3 + 2*k**2 - 2*k**3 - 2*k**2 + (0*k - k**2 + 0*k)*(-k + 2*k - 4*k). -k**3 Expand (-3 + 2*y + 3)*(0 + y + 0) - 143*y**2 - 99 + 99. -141*y**2 Expand -y + 4*y - 2*y + 1 - 1 - 2*y + (-5 + 1 - 1)*(3 - 3 + 2*y) - 7 + 7 + 5*y. -6*y Expand (-4*z**4 + 0*z**4 + 8*z**4 + (-1 + 0 + 2)*(-20*z**4 + 5*z**4 - 2*z**4))*(3*z - 2*z + z). -26*z**5 Expand 5 - 4 + 2*b**2 + 8*b**2 + (-2*b**2 + b**2 - b**2)*(5 + 2 - 3). 2*b**2 + 1 Expand (-675 + 308 - 711)*(0*y - y + 2*y). -1078*y Expand (3*k**2 + 4*k**2 - 6*k**2)*(129*k + 310*k - 83*k). 356*k**3 Expand (-3*h + 2*h + 0*h)*(5 - 25 - 2074*h + 18 + 2). 2074*h**2 Expand 0*k**3 + 8*k**3 + 2*k**3 - 3*k**2 + 3*k**2 - k**3 + (k + 3*k - 6*k)*(-3*k**2 + 0*k**2 + k**2) - 117 - 14*k**3 + 117. -k**3 Expand (-4*f + 4*f + f)*(6 - 2 - 3) + 2*f - 6*f - 7*f - 21*f + 14*f + 9*f. -8*f Expand 0*f**5 + 2*f**5 + 3*f**5 + 3*f**5 - 3*f**5 - f**5 + 4*f**3 - 4*f**3 - 2*f**5 + (-f**4 - 2*f**4 + 4*f**4)*(0*f - 2*f + 0*f) + 0*f**5 + 0*f**5 - 2*f**5. -2*f**5 Expand (-1 + 56*u - 149*u + 2)*(0 - 2 + 4). -186*u + 2 Expand (14*j - 8*j + 10*j + 4*j - 9*j - 9*j - 5*j + 5*j + 2*j - 3*j + 2*j + 2*j + (0 + 5 - 2)*(3 - 2*j - 3))*(4 - 4 + j**2). -j**3 Expand (l**4 + 0*l + 0*l)*(-24 - 23 + 26 - 2*l)*(-7 + 144 - 25). -224*l**5 - 2352*l**4 Expand (-b + 0 + 0)*(0 - 2*b + 0) - 251 + 251 - 28*b**2. -26*b**2 Expand (-5*w**2 - 18 + 18)*(-17*w + 362 - 363 - 10*w - 3*w). 150*w**3 + 5*w**2 Expand (144043*d**3 - 248*d**5 - d**4 - 144043*d**3)*(2 - 4 + 0). 496*d**5 + 2*d**4 Expand (a**2 + 4*a**2 - 2*a**2)*(115 - 115 + 7*a) + 2*a**3 + 2*a - 2*a. 23*a**3 Expand (-k**3 - 7*k**2 + 7*k**2)*(11*k - 3*k - k)*(-1 + 0 + 2) + 3*k**4 + 3*k**4 - 4*k**4. -5*k**4 Expand (-f + 2*f + 2*f)*(-1 + 1 - 3)*(-1 - 1 + 3)*(97 - 11*f**4 - 97). 99*f**5 Expand (0*m**3 + 0*m**3 + m**3)*(129*m + 94*m - 476*m - 1035*m). -1288*m**4 Expand (-11 + 11 - 29*t)*(-6*t - t**2 + t + t). 29*t**3 + 116*t**2 Expand (-16 - 34 - 118)*(2 - 2 + 1)*(4*t**4 - 5*t**3 + 5*t**3). -672*t**4 Expand (-2*p**2 + 3*p**2 - 2*p**2)*(2*p**2 + 0*p**2 + 2196*p**3 - 7*p - 2197*p**3 - 1). p**5 - 2*p**4 + 7*p**3 + p**2 Expand (2*m**2 + 0 + 0)*(-4*m**2 + m**3 + 4*m**2) - 605*m**4 - 3*m**5 - 2*m**3 + 605*m**4. -m**5 - 2*m**3 Expand (-2*u - 4*u + u)*(-3*u + 7*u - 2*u + u - 4 + 4 + (0 + 2 - 4)*(3*u - 4*u + 0*u) + u - 1 + 1 - 9*u + 5*u + 13*u) - 5 - u**2 + 5. -76*u**2 Expand -10*a**5 + 0*a**5 + a**5 - 2*a**5 + (-5 + 4 - 5)*(-14*a**5 + 11*a**5 + 10*a**5). -53*a**5 Expand (227*z**2 - 410*z**2 - 711*z**2)*(-z**2 + 5*z**2 - 2*z**2 - z**2 + 2*z**2 + 0*z**2 + (2 + 1 - 1)*(2*z**2 + 0 + 0)). -6258*z**4 Expand -2 + 2 + 4*n**2 + (-2*n + 2*n - 2*n)*(-3*n + 1 - 1) + 3*n**2 + 6*n**2 - 2*n**2. 17*n**2 Expand 4*b**4 - 2*b**4 - b**4 + (3702 - 179*b**3 - 3702)*(16*b + 21 - 21). -2863*b**4 Expand (-2*h**2 - h**3 + 2*h**2 + (-3*h**2 + 2*h**2 - h**2)*(2 - 2 - h))*(49*h - h + 26*h)*(0*h - h - 3 + 1). -74*h**5 - 148*h**4 Expand 18 - 18 + 143*k**2 - 10*k**2 + (2 - 2 + 1)*(6*k**2 - 4*k**2 - 4*k**2). 131*k**2 Expand (0*s - 5*s + 4*s)*(-5 + 2 - 2 + 2 - 4 + 1 + 0 + 1 - 3 + (-4 + 3 + 2)*(-2 - 1 + 4))*(s**3 + 3*s**3 - 2*s**3). 14*s**4 Expand (1 - 1 - 2)*(-11 - 3 + 5)*(3*l**3 + 3*l**3 - 3*l**3) + 2*l**2 - 4*l**3 + 2*l**3 + l**3. 53*l**3 + 2*l**2 Expand -49*c + 19*c + 26*c + (19*c + 27*c - 19*c)*(-2 + 3 - 3). -58*c Expand (-3*d - 2*d + 6*d)*(90 - 73 + 196) + 5*d + d - 3*d + (2*d - d + d)*(-2 + 0 + 3). 218*d Expand -3 + 3 + 5*p - p - p + 4*p + (-3 + 2 + 3)*(-3*p + 6*p - 4*p) - p - p + 3*p - 4 + p + 4 + 0*p - 5 + 0*p - 2*p. 5*p - 5 Expand (-4 + 4 + 2*f)*(-51*f**2 - 99*f**2 - 74*f**2 + 169*f**2). -110*f**3 Expand (1 - 1 + 2*z)*(-3 + 3 - 2)*(-1072*z**3 - 224 + 224). 4288*z**4 Expand ((-10 + 7 - 3)*(-4 + 1 + 2) - 4 + 4 - 1 - 7 + 3 + 2)*(2*a**3 - 2*a**3 + 2*a**5). 6*a**5 Expand i**4 + i - i + (4*i - 4*i - 2*i**3)*(-2*i + 5*i - i) + ((2*i - 2 + 2)*(-5*i + 3*i + i) - 3 + 3 + 12*i**2)*(-3*i**2 - 3*i**2 - 2*i**2). -83*i**4 Expand (2 - 3 + 0)*(2 + 2*d - 2)*(2*d - 7 + 7)*(-3 - 2 + 7). -8*d**2 Expand (2*h + 5*h - 5*h)*(5 - 1 - 2) - 50*h + 36 + 55*h - 50. 9*h - 14 Expand (-7*o**2 + 4*o**2 + 0*o**2)*(-12 - 8 - 10). 90*o**2 Expand -
{ "pile_set_name": "DM Mathematics" }
t is the third smallest value in a, -343.2, -1, 1/6? -1 Let n = 14428 + -13668. Which is the biggest value? (a) -0.4 (b) -4 (c) 1 (d) n d Let i be (((-590)/75)/1)/(-1). Let k = -8 + i. Let y be 2*((-2)/6)/1. Which is the biggest value? (a) -0.2 (b) k (c) y b Let l = -15.8 + 16.09. Which is the fourth biggest value? (a) 2/9 (b) 21 (c) 0 (d) l c Let o be (3 - 2)*1 - 5. Let p be (15/4)/(153/(-36) - -4). Let y = p + 16. What is the second smallest value in y, o, -1? -1 Suppose 4*v = -5*s + 14, -11 = -2*v + 2*s + 5. Let x(o) = -o**2 + 7*o - 9. Let p be x(v). Let d = 20/3 + -22/3. What is the biggest value in -3/2, p, -5, d? d Let z = 8.6 - 9. Suppose 0 = -45*v + 53*v - 32. Which is the fourth smallest value? (a) z (b) -1/3 (c) -3/7 (d) v d Let x = 1.4097 - 1.2297. Which is the smallest value? (a) 0 (b) -2 (c) x (d) -9 d Let n = -222.9 + -0.1. Let k = -229 - n. What is the third biggest value in 2, 1/3, k, -4? -4 Let g be 39/(-90) + (-1)/(-3). Let d = -3961 + 3956. What is the third smallest value in g, 7, -0.5, d? g Let t be ((2 - 49/28)*20)/25. Which is the fourth biggest value? (a) -2/17 (b) 2 (c) 0.11 (d) -5 (e) t a Let k = -1644 + 2382.2. Let r = k + -738. Which is the smallest value? (a) -0.19 (b) r (c) -0.2 (d) -1 d Let a = 1 - 1.1. Let n be ((-55)/(-6))/(-5)*(-30)/(-120). Let w = n + -7/8. What is the second biggest value in 2/11, a, w? a Let u = 53 + -53.392. Let y = u - -0.42. Let s = y + 2.972. Which is the second smallest value? (a) s (b) -1/2 (c) 0.1 (d) -6 b Let m be 4864/(-54) - (-350)/4725. Which is the biggest value? (a) 4 (b) m (c) 0 a Let x = -16.8 + 14.05. Let j = x + 2.7. Let i = 414/5 - 82. What is the second biggest value in i, j, -1? j Let v = 415 - 413. Suppose -2*j = d + 2*j - 2, v*j = -2*d + 4. What is the second biggest value in d, -3, 7/2? d Let o be (3/(-5))/((-13270)/5300 - 15/(-6)). Let x = 71.2 + -71. Which is the second biggest value? (a) 5 (b) o (c) x a Let o = 876948 - 876949. Let q = -223.7 - -208. Let f = q - -15. Which is the smallest value? (a) f (b) 0 (c) o c Let d = -4 + 4.2. Let t = d - 4.2. Let p = 14 + t. Which is the third biggest value? (a) 1 (b) p (c) -1 c Let i be 14/(-24) + 1/4. Let h = 12035 + -84251/7. Which is the smallest value? (a) h (b) 3 (c) i (d) 2/3 a Let r = -9.2 - 0.8. Let m = 0.0982 - -0.4018. Which is the second biggest value? (a) -1/6 (b) m (c) r (d) -5/3 a Let p = -504.5 - -504.2. What is the fourth biggest value in 44, p, -1/4, -2/9? p Let c = -17 - -12. Let v = -1.15476 - -0.65476. What is the smallest value in v, 2, c, 7.5? c Let v = 5264/299 - 230/13. Let t be 34/40 + 12/(-20). Which is the third smallest value? (a) 2/5 (b) v (c) -1/3 (d) t d Let p = 189/772 - -1/193. Let o = 2.3 - 2. What is the third biggest value in o, p, 1/6, -10? 1/6 Let z = 60.69 + -61. Let x = 0.81 + z. Let i(s) = 3*s**2 + 37*s - 116. Let y be i(-15). Which is the second biggest value? (a) x (b) 2 (c) 3 (d) y c Let n = 7 + -5. Let g be 0 + 0 - 6 - ((-11040)/(-140))/(-12). Which is the second biggest value? (a) -0.5 (b) g (c) n (d) -0.06 b Let v = -1 - 3. Let q be 6*(v/9)/2. Let z be -11 + (-13 - (10 + -30)). What is the fourth smallest value in z, -1/3, q, -3/8? -1/3 Suppose 0 = 5*z - 10, -s - z + 3*z + 30 = 0. Let o be 2/1*(2 - 70/s). Let t = -8 + 10. What is the second smallest value in 0.1, o, -6, t? o Let s = 169/6 - 503/18. What is the third smallest value in 2/5, -9, s? 2/5 Let j be 18/4 - (1 + -5 + 2) - 4. Let t = -0.6 + 0.1. Which is the third smallest value? (a) j (b) 3 (c) t (d) 1 a Let h = -34.9 - -40. Let r = h - 5. Let m = -591 - -584. What is the smallest value in -3/2, r, m? m Let v = 1739 + -1739.5. Which is the second smallest value? (a) 6/7 (b) -47 (c) v (d) 0 c Let f = 11.045 + -10.965. Let t = -1 - 3. Which is the fourth smallest value? (a) f (b) -0.5 (c) t (d) -5 a Let h = 72 - 53.6. Let s = h + -18.33. What is the biggest value in -5, s, -4? s Let t = 16446 - 16462. Let g = -192.6 + 177. Let v = t - g. Which is the third biggest value? (a) -4 (b) v (c) 2/3 (d) 2 b Let l = 0.059 - 56.059. Let m = l + 50.6. Let p = -4.7 - m. Which is the third biggest value? (a) -3 (b) p (c) -0.04 a Let i be (6/10)/((-2)/(-10)). Let t = -2 - i. Suppose 2*w = s - 9, s - 6*w + 0*w - 21 = 0. Which is the second biggest value? (a) t (b) -4 (c) s (d) 5/4 d Let f = 746.3 + -746. Suppose -4 = -q - 3. Let y(o) = 4*o**3 + o**2 - 1. Let h be y(q). Which is the third biggest value? (a) 1 (b) -7 (c) f (d) h c Let t = 2729/144 - -3215/16. Let p = t + -220. Which is the third smallest value? (a) -1 (b) p (c) 6 c Let i be 121/(-22)*(-3)/66. What is the third smallest value in 0.5, i, 5, 12, 3/5? 3/5 Let p = 2.0887 - 37.0887. Let y = 0.3 + -1.3. What is the second smallest value in -1/4, y, p, 0? y Let c = -28 - -83/3. Let o be (-18)/153*(-6 - 20/(-4)). What is the fourth smallest value in 1, 33, c, o? 33 Suppose -y + 7 = -s, -y = -0*y - 2*s - 10. Suppose -35 + 79 = 44*r + 264. Which is the second smallest value? (a) -0.06 (b) y (c) r a Let w = -14643 + 131783/9. What is the fourth smallest value in -5/2, w, -15, 5? 5 Let g = 225 - 44. Let i = -180.95 + g. Which is the smallest value? (a) 2 (b) 0.1 (c) i (d) -3 d Let y = 5847 - 5843. What is the smallest value in y, 2/39, -0.1, 7? -0.1 Let p = 0 - -12. Let u = p - 25/2. Let l be (-1 - (-3)/4)/(6/8). Which is the smallest value? (a) u (b) l (c) 0.3 a Suppose 5*j - 2*f - 2*f = -19, -5*j - 14 = f. Suppose s - 3 = 2*m, 4*m = 25*s - 30*s + 29. What is the third biggest value in -7/2, j, 1/6, s? j Let a = -1681.5 + 985. Let k = 696 + a. Let j be 5/(-50) - (-2)/4. What is the third biggest value in k, j, -3/2? -3/2 Let x = 3445/357 - -2/119. Let u = 189594 - 189594.2. Which is the third smallest value? (a) 2/7 (b) 0.4 (c) x (d) u b Let f(w) = -9*w - 70. Let n be f(-9). Suppose 0 = -3*p - v + n, 10 = 4*p - v - 0. Which is the third biggest value? (a) p (b) -2/3 (c) -10/7 c Let y = 44575/9 - 4953. Which is the fourth biggest value? (a) 2/5 (b) -1 (c) -0.08 (d) -0.5 (e) y d Let s = -131 + 144. Let t = -13.2 + s. Which is the fourth biggest value? (a) t (b) -0.3 (c) -4 (d) 4/9 c Let y be (1 + -6)/(-1 - (-4 + 4)). Let w be (-600)/y - (3/(-3) - 1). Let k = -116 - w. Which is the smallest value? (a) k (b) 1/4 (c) 9 b Let u = 740.3 + -739.8. Which is the third biggest value? (a) u (b) -4 (c) -14 (d) 1.6 b Let d = -66/119 - -317/357. Which is the third smallest value? (a) 7 (b) -1/14 (c) d a Let s(m) = -14*m**2 - 4*m - 17. Let p(u) = 12*u**2 + 5*u + 16. Let q(y) = -6*p(y) - 5*s(y). Let w be q(-3). What is the second biggest value in 35, 3/7, 2/9, w? w Suppose 3*x + 1 = -4*z, 3*x + 234*z - 233*z + 7 = 0. Let j = -0.06 + 0.1. Let b = 2 - 1. What is the smallest value in b, j, -0.5, x? x Suppose 4*i + 2*w = w - 21, i + 2*w = -7. Which is the fifth smallest value? (a) i (b) -1/2 (c) 1/17 (d) 0.5 (e) -3 d Let q = 386.32 + -386.72. What is the fourth smallest value in q, 6, -5, 2/171, 2? 2 Let j = 1.2 - -1.8. Let y be -4 - ((-8)/5)/((-2)/5). Let t = -0.0246 + 0.1246. Which is the smallest value? (a) t (b) j (c) 0.2 (d) y d Suppose 40 = -4*f - 3*x, -x = 10*f - 12*f. Let w be (1/14)/(2/16). Which is the third biggest value? (a) -3 (b) f (c) w b Suppose 33*a = -16 - 512. What is the smallest value in -0.02, -1, 3, a? a Let k = 813 - 811. What is the biggest value in -1, k, 3.5, 2/3? 3.5 Suppose 3*j = -2*j + 5*y - 220, 3*y - 46 = j. Let o = -173/4 - j. Let i = -5 + 5. What is the fourth biggest value in i, -3/4, -2, o? -2 Let t = 120 + -136. Which is the fourth smallest value? (a) 4 (b) 3/2 (c) 0 (d) -6 (e) t b Let z = -115/76 + 1/76. Which is the third smallest value? (a) z (b) 1/8 (c) 6/71 (d) -2 (e) 0.4 c Let w(a) be the third derivative of a**4/24 - 7*a**3/6 - 2*a**2. Let i be w(6). Let d = 1/1389 - 4195/38892. What is the second smallest value in 1/4, d, i? d Let j = 1.7073 - 33.7073. What is the smallest value in 0.4, -0.28, 4, j, 5? j Let u be ((-58)/8)/((-99)/12). Let i = -6/11 + u. Let m = -210 + 209. What is the second smallest value in 2/9, m, i? 2/9 Let c be ((27/2)/(-3))/(-3). Let i be 1 - (-23 + 2912/128)/((-3)/15). What is the
{ "pile_set_name": "DM Mathematics" }
2 wrt k? -28 Let q(w) be the first derivative of 8*w**5/5 - 13*w + 5. Differentiate q(b) with respect to b. 32*b**3 Find the third derivative of -306*u**3 - 2*u**2 + 14*u**2 + 320*u**3 wrt u. 84 Let c(r) be the second derivative of 3*r + 0*r**2 + 0 - 1/3*r**3 - 1/6*r**4. What is the second derivative of c(v) wrt v? -4 Find the second derivative of 5*m**3 + 20*m**4 + 18*m - 24*m**4 + 30*m wrt m. -48*m**2 + 30*m What is the derivative of 16*y**4 - 22 - 9*y**4 - 24 wrt y? 28*y**3 Let o(k) = 4*k**3 - 6*k - 2. Let a(m) = 3*m**3 - 5*m - 3. Let f = 5 + 0. Let v(r) = f*o(r) - 6*a(r). Differentiate v(n) wrt n. 6*n**2 Let l(m) be the first derivative of -11*m**5/5 - 2*m**3 - 3. Find the third derivative of l(n) wrt n. -264*n Let n(x) = x**4 + 5*x**2. Let m(b) = b**4 + 8*b**2. Let v(h) = 5*m(h) - 7*n(h). What is the third derivative of v(u) wrt u? -48*u Let r(v) be the first derivative of -2*v**3/3 - 11*v**2/2 - 5. What is the second derivative of r(s) wrt s? -4 Let b(x) be the second derivative of x**3/3 + 3*x**2 + 15*x. What is the derivative of b(s) wrt s? 2 Let t(f) = -12*f - 18. Let k = 12 - 6. Let r be (-16)/24*k/4. Let l(b) = -b - 1. Let i(z) = r*t(z) + 15*l(z). Find the first derivative of i(a) wrt a. -3 Let d = 26 - 14. Suppose f + d = 5*f. Differentiate 3*o**3 + o**f - 2*o**3 + 2 wrt o. 6*o**2 What is the second derivative of -9*f**3 + 12*f - 15*f**3 + 6*f wrt f? -144*f Let x(b) be the first derivative of 3*b**4/2 - 3*b**2 + 1. Find the second derivative of x(q) wrt q. 36*q Let k(s) = -7*s**2 - s + 4. Let d(z) = -7*z**2 - z + 3. Let m(q) = -4*d(q) + 3*k(q). What is the second derivative of m(v) wrt v? 14 Suppose g = x - 4*g - 12, -4*g - 10 = -x. Let c = 14 - 10. What is the derivative of -3*w**c + 3*w**4 - w**4 + x wrt w? -4*w**3 Find the second derivative of -8*i - 13*i**5 + 19*i + 3*i**5 wrt i. -200*i**3 What is the second derivative of -4*t**5 - 4*t - 8*t + 3*t**5 - 10*t wrt t? -20*t**3 Let z = -6 - -9. What is the second derivative of 0 + 11*u - 10*u + 0 - z*u**4 wrt u? -36*u**2 Let l(q) be the second derivative of q**5/120 + q**4/24 - q**3/6 - q. Let c(j) be the second derivative of l(j). Differentiate c(o) with respect to o. 1 What is the third derivative of -m**6 - 5*m**2 + 4*m**2 - m**6 - m**6 wrt m? -360*m**3 Let t(x) be the second derivative of -2*x**6/15 + 7*x**2/2 - 7*x. Differentiate t(b) with respect to b. -16*b**3 Suppose 0 = -0*k - 2*k + 8. Let j = k - 3. Differentiate 1 + j - m**4 - m**4 with respect to m. -8*m**3 Let a(n) be the third derivative of 3*n**8/112 + 3*n**5/20 - 6*n**2. What is the third derivative of a(b) wrt b? 540*b**2 Let j(s) be the first derivative of 5*s**4/4 + 7*s**3/3 - 5. What is the third derivative of j(r) wrt r? 30 Let t be (-4)/(-4) + 1/1. Find the third derivative of y**4 + 2*y**4 - 2*y**2 + 2*y**2 - 4*y**t wrt y. 72*y Let j(a) = -a + 1. Let s(b) = 36*b**2 - 13*b + 5. Let x(d) = 5*j(d) - s(d). Find the second derivative of x(m) wrt m. -72 Let h(d) be the third derivative of -7*d**6/24 - 3*d**4/8 + 34*d**2. What is the second derivative of h(f) wrt f? -210*f What is the third derivative of 1 + 0 - 1 + 6*l**2 - 14*l**5 wrt l? -840*l**2 Let v(t) be the third derivative of t**8/28 + t**5/20 - 2*t**2. Find the third derivative of v(l) wrt l. 720*l**2 Suppose -3*n + 16 = 1. Find the third derivative of -26*c**2 + 25*c**2 - c**n - 2*c**5 wrt c. -180*c**2 Let h(b) = -b**3 + b**2 + 1. Let n(t) = -4*t**3 + 27*t**2 + 38*t + 5. Let r(i) = 5*h(i) - n(i). Find the second derivative of r(k) wrt k. -6*k - 44 Let u(n) be the first derivative of -n**6/6 - 13*n**4/4 - 2*n**3/3 - 9*n - 67. Find the third derivative of u(d) wrt d. -60*d**2 - 78 Differentiate -13*z + 1 + 4 - 4 - 2 with respect to z. -13 Let i(y) be the second derivative of -y**7/168 - y**6/36 + 11*y**3/6 - 6*y. Let k(x) be the second derivative of i(x). Find the third derivative of k(s) wrt s. -30 Let a(x) be the second derivative of x**3 - 5*x**2 - 4*x. Find the first derivative of a(o) wrt o. 6 Let i(h) = -h**4 - h**3 + h**2 + 1. Let t(l) = -14*l**4 - 5*l**3 + 5*l**2 - l + 5. Let m(j) = -5*i(j) + t(j). Find the second derivative of m(a) wrt a. -108*a**2 Let t(f) be the first derivative of -f**7/21 + f**4/6 + f - 3. Let u(l) be the first derivative of t(l). What is the third derivative of u(y) wrt y? -120*y**2 Suppose -13 = -2*b - 4*v - v, -5*v - 15 = -5*b. Suppose 3*x = -b*z + 2, 4 = x + 2*z - 4*z. Find the first derivative of -3*y + x*y + 0 + 2 wrt y. -1 Let b be (-2 - -6)*1*2. Differentiate -2 - 3*f**4 + b*f**4 + 6 with respect to f. 20*f**3 Let r be 12 + -6 + (0 - 0). Let b be (3/(-3))/((-2)/r). What is the second derivative of 3*j**b + j**3 + 0*j - 4*j wrt j? 24*j Let o(q) be the third derivative of 0*q**3 + 0*q + 1/4*q**4 - 2*q**2 + 0 + 0*q**5 + 1/20*q**6. What is the second derivative of o(k) wrt k? 36*k Let w(o) be the third derivative of o**7/280 + o**6/40 - o**3/3 + 8*o**2. Let k(h) be the first derivative of w(h). What is the third derivative of k(l) wrt l? 18 Let s(q) be the second derivative of 37*q**4/12 - 37*q**2/2 - 11*q - 2. Differentiate s(z) with respect to z. 74*z Let y(i) be the first derivative of 8/3*i**3 + 0*i**2 - 6 - 2*i. What is the first derivative of y(f) wrt f? 16*f Let z(c) be the third derivative of -7*c**5/60 + 13*c**4/24 - 16*c**2. Find the second derivative of z(b) wrt b. -14 Find the third derivative of 28*q**3 - 19*q**2 - 25*q**3 + 18*q**3 wrt q. 126 Let p(x) = x**2 - x + 1. Let u(o) = 2*o**2 - 3*o - 2. Let c(r) = 6*p(r) - 2*u(r). Find the first derivative of c(j) wrt j. 4*j Let u be (-12)/(-8)*(-8)/(-3). What is the second derivative of -19*s**2 + 32*s**2 - 13*s**2 + 7*s - 6*s**u wrt s? -72*s**2 Let i(c) be the first derivative of -c**6/10 - c**2 + 3*c - 4. Let f(j) be the first derivative of i(j). What is the first derivative of f(w) wrt w? -12*w**3 Let y(v) = -14*v + 21. Let n(s) = -5*s + 7. Let q(k) = -17*n(k) + 6*y(k). Let j be q(-5). Find the third derivative of z**2 + z**2 + j*z**6 - z**2 wrt z. 240*z**3 Let n(s) be the second derivative of -s**6/30 - 9*s**2/2 - 8*s. Differentiate n(j) with respect to j. -4*j**3 Let t(c) = 5*c**2 + 3*c - 3. Let j(q) be the first derivative of -2*q**3 - 2*q**2 + 3*q - 7. Let r(h) = 3*j(h) + 4*t(h). Differentiate r(m) with respect to m. 4*m Let b(w) be the third derivative of w**7/210 + w**6/8 - w**4/8 - 11*w**3/3 + 26*w**2. Find the second derivative of b(m) wrt m. 12*m**2 + 90*m Let w(a) be the third derivative of -a**6/60 + a**3/3 - 8*a**2. What is the derivative of w(v) wrt v? -6*v**2 Let o(r) be the first derivative of r**7/420 - 3*r**4/8 - 3*r**3 - 5. Let y(p) be the third derivative of o(p). Find the first derivative of y(v) wrt v. 6*v**2 Let s(l) = -115*l**2 + 354. Let w(x) = -23*x**2 + 71. Let h(d) = -2*s(d) + 11*w(d). What is the first derivative of h(p) wrt p? -46*p Suppose 0 = 2*r - 4*b + 6, -4*r + b - 29 = -9*r. Suppose 1 = -r*t + 11. What is the second derivative of -t*w**3 + 2*w - 3 + 3 wrt w? -12*w Suppose -v + 0*h - 2*h = 6, 2*v - h - 13 = 0. Suppose -3 = -v*u + 1. Find the second derivative of 3 - 2 - u + o - o**2 wrt o. -2 Let z(v) = -9*v**4 + 15*v**2 + 4*v + 4. Let u(l) = 10*l**4 - 15*l**2 - 3*l - 3. Let j(b) = 4*u(b) + 3*z(b). Find the third derivative of j(w) wrt w. 312*w Suppose -a + 5*o - 2 = 0, 3*a - 2*o - 5 = 2*o. Let i = 5 - a. What is the third derivative of 7*w**i + 2*w**3 - 10*w**2 + w**3 wrt w? 18 Let c be 1*(0 + -1)*-3. Suppose 2*z - 3*z = -c. What is the derivative of w + 1 - 2*w - 3*w**z + w wrt w? -9*w**2 Let q(a) be the first derivative of -15*a**4/4 - 3*a + 8. Differentiate q(j) wrt j. -45*j**2 Let v(n) = -n + 1. Let r(j) = 8*j**3 + 10*j**2 - 10*j + 10. Let p(w) = -r(w) + 10*v(w). Find the third derivative of p(c) wrt c. -48 Let h(t) be the second derivative of 7/20*t**5 + 0*t**4 + 0*t**2 + 0 + 10*t - 1/6*t**3. Find the second derivative of h(r) wrt r. 42*r Find the third derivative of 24*l**2 + 18*l**2 - 28*l**2 - 49*l**3 wrt l. -294 Let a(q) = q**2 + 2*q - 3. Let m be a(-4). Let i be 2/(-4) + (-10)/(-4). What is the third derivative of -u**2 + m*u**4 + i*u**2 - 4*u**4 wrt u? 24*u Let a(w) = 3*w**4 - 9*w**3 - 9*w**2 + 5. Let i(f) = 2*f**4 - 4*f**3 - 4*f**2 + 3. Let q(x) = -4*a(x) + 9*i(x). Differentiate q(z) with respect to z. 24*z**3 Sup
{ "pile_set_name": "DM Mathematics" }
14*l + (0*l + 0*l + l)*(-1 - 1 + 4). -32*l Expand (-1415 + 1686 + 178 + 1132)*(-4*k + k + 4*k) + (-k - k + 0*k)*(-1 - 1 + 1). 1583*k Expand (-5 + 5 + 6)*(-171*f**2 + 7*f**4 + 5*f**4 - 13*f**4). -6*f**4 - 1026*f**2 Expand (-46*c - 4 + 18*c - 12*c)*(0 - 2*c + 0). 80*c**2 + 8*c Expand (-16*l + 24*l + 3 - 7*l)*(4*l**3 - 4*l**3 + 6*l**3) + l**4 + 2*l - 2*l. 7*l**4 + 18*l**3 Expand (2*s - 2*s + s)*(15 - 9 + 19) + (0*s - 4*s + s)*(2 + 0 - 4). 31*s Expand (2*y + 1 - 1)*(-6 + 2 + 2) + 7363 - 786*y - 7363. -790*y Expand (51*o - 841 + 841)*(4 - 3 - 3 + (2 - 1 + 1)*(-1 + 3 - 1) - 4 + 0 + 6). 102*o Expand -n**5 + 0*n**5 - n**5 + (-3*n + 3*n - n**4)*(372 - 135*n - 372). 133*n**5 Expand (77*o**3 + 41*o**3 - 36*o**3)*(2*o**2 - 2*o**2 - o**2)*(4 + 2 - 7) + (-3*o + 4*o + o)*(-3*o**4 + o**4 + 3*o**4). 84*o**5 Expand (d + 2 - 2)*(-7 + 5 + 17)*(d - d**3 - 4*d**3 + 7*d**3). 30*d**4 + 15*d**2 Expand (232*h - 116*h + 86*h)*(2 - 5*h + 5*h - h**2). -202*h**3 + 404*h Expand (2*q - 2*q - 2*q)*(-60 - 260 - 118). 876*q Expand (0*c - 2*c + 0*c)*(-1 + 3 + 15)*(-2*c + 8 - 8). 68*c**2 Expand -y**3 + 0*y**3 - y**3 + (6*y - 10*y + 6*y)*(2*y - 2*y + 5*y**2) - y**3 + y**3 - 2*y**3. 6*y**3 Expand (12*k + 33 - 33)*(12*k + 5*k + k). 216*k**2 Expand (-d**3 + 5*d**3 - 2*d**3)*(4*d - d - 18*d) - d**4 + 3*d**4 + 7*d**4 + (2*d**3 + 2*d**2 - 2*d**2)*(5*d + d - 5*d). -19*d**4 Expand (14 + 3 + 7)*(-2*m**2 + 2*m**2 - 3*m**2). -72*m**2 Expand (-12 - 4 + 3*j + 19)*(-3*j + 7*j - 3*j). 3*j**2 + 3*j Expand (l**3 + l**4 - l**3 + (2 + 1 - 5)*(7*l**4 - 2*l**4 - 3*l**4))*((3 - 2 - 3)*(-2 + 2 + 1) - 3 - 3 + 4 + 1 + 1 - 7). 27*l**4 Expand (0 - 2*z + 0)*(62*z - 72*z + 50*z) + (z**2 + z**2 - 4*z**2)*(-1 + 1 + 3). -86*z**2 Expand (-378 + 195 - 2*b + 188)*(3*b + 1 - 1). -6*b**2 + 15*b Expand (4*h - 4*h + 141*h**3 - 57*h**3)*(3*h - 2 + 2). 252*h**4 Expand (16*d**3 + 92*d**3 - 29*d**3)*(-2*d**2 + 4*d**2 + 0*d**2) + (-3*d + 2*d**2 + 3*d)*(d - d + 3*d**3). 164*d**5 Expand (-s**2 + 0 - 7387*s - 2 + 7572*s)*(s - s + s**3). -s**5 + 185*s**4 - 2*s**3 Expand (-117 + 246 - 122 - 3*j)*(0 + 5 - 2). -9*j + 21 Expand -243*z**2 - 229*z**2 + 456*z**2 + (-3*z**2 + 2*z**2 - z**2)*(-3 + 3 + 2) - 3*z**2 + 0*z**2 + 4*z**2. -19*z**2 Expand (-2 - 2 + 6)*(-14 + 5 - 6)*(-h - 4*h - h). 180*h Expand -2*u**5 + 3*u**4 - 3*u**4 + (2 - 2 + u)*(-4 + 5 - 36)*(0*u - 3*u**4 + 0*u). 103*u**5 Expand -1015*a**2 + 1015*a**2 - 22*a**4 + 0*a**4 + 0*a**4 - a**4 + (0*a**3 - a**3 - a**3)*(0*a - 5*a + 3*a) + (-5*a**3 + 4*a**3 - 2*a**3)*(a - a - a). -16*a**4 Expand (-1 + 6 - 3)*(w + w**2 - w) + 226*w**2 - 1130*w**2 - 325*w**2 + 51*w**2 - 557*w**2. -1733*w**2 Expand -1 + 1 - x + 3*x + 3*x - 4*x + (-2*x - 4*x + 4*x)*(2 - 2 - 2) - 2*x + 2*x + 2*x + 21416 - 21416 - 570*x. -563*x Expand (6*t - t - 4*t)*(2 - 2 + t**3) + (-t + t + t**2)*(1810*t - 1810*t + 43*t**2). 44*t**4 Expand (-2*x**2 + 0*x + 0*x + (-x + 0*x + 0*x)*(0*x - 7*x + 6 + 9*x))*(2*x**3 - x**3 + x**3). -8*x**5 - 12*x**4 Expand (-3 + 5 - 3)*(-5 - 1 + 4 + (-1 + 3 - 1)*(0 + 3 - 2) + 2 + 4 - 4 - 3 + 4 - 3 - 54 - 66 + 55)*(-4 + j + 4). 66*j Expand (16*o - 101*o - 16*o)*(o**2 - 4*o - 1 + 4*o). -101*o**3 + 101*o Expand (5 + 2*o**2 - 5 + (0 - 1 + 2)*(0 - o**2 + 0) + 2*o**2 + 4*o - 4*o + 0*o**2 - o**2 - 3*o**2)*(-46*o + 46*o + 49*o**2). -49*o**4 Expand (-2*u + 0*u + 3*u)*(4*u**4 + 0*u**4 - 2*u**4) + 0*u**5 - 4*u**5 + 3*u**5 + 34*u**5 + 44*u**5 + 34*u**5 - 9*u**5. 104*u**5 Expand (-4*a + 7*a - 2 - a)*(3 - 2 + 7)*(2 + 0 - 3). -16*a + 16 Expand (18*t - 3*t**4 + 10246*t**3 - 10246*t**3)*(-3 + 1 + 8). -18*t**4 + 108*t Expand (30*l + 2 - 12*l - 14*l)*(0*l + 2*l + 0*l). 8*l**2 + 4*l Expand -1 + 3*t + 1 - 1 + 1 + 2*t + (-3 + 2 + 3)*(-t + t + 2*t) + 433*t + 119269 - 119269. 442*t Expand (1 - 190*k**2 + 1561*k**2 - 1)*(-4*k + 5*k - 2*k). -1371*k**3 Expand (-4 + 3 + 3)*(979 - 337 + 2*f - 117). 4*f + 1050 Expand p**5 + 3*p**5 - 6*p**5 + (20 + 4 + 10)*(-p**5 + 3*p**5 - 3*p**5). -36*p**5 Expand (2 + 3 - 4 + (6 - 2 - 2)*(6 - 2 - 3))*(-16*m**3 + 40*m**3 + 10*m**3)*(1 + 2 - 9). -612*m**3 Expand (-s**2 + s**2 + s**2)*(-147*s**2 + 272*s**2 - 994*s**2)*(4*s - 3*s + 0*s). -869*s**5 Expand (-z + 3*z**2 + z)*(-3 - 4 + 6) - 5*z**2 - 2*z**2 + 2*z**2 + (2*z + 0 + 0)*(-4*z + 2*z + z) - 2 - 7*z**2 + 2. -17*z**2 Expand (2*v**3 + 0*v**3 + 10*v**3)*(-97 + 42 + 9). -552*v**3 Expand (1 + 1 + 0)*(2693*v**5 + 7*v**4 + 4*v**4 - 2692*v**5 + 11). 2*v**5 + 22*v**4 + 22 Expand 198*i - 198*i - 7*i**5 + (0*i**3 + 2*i**4 + 0*i**3)*(-2*i + 4*i + 0*i) + 3 + i**5 - 3. -2*i**5 Expand 0*t + 4*t - 3*t + 2*t + 1 - 1 + (-5*t + 2*t + t)*(-6 + 3 + 2) + 6 + 63*t + 63*t - 129*t. 2*t + 6 Expand (1 - 1 + 2)*(3*l**2 - 3*l**2 + l**2 + (-7 + 13 + 1)*(2*l**2 - 5*l**2 - 3*l**2)). -82*l**2 Expand (-2 + 4 - 4)*(-u + 2*u + u + 2*u + 2*u - u + 2*u + u + 0*u + 0*u + 0*u - u + (-5 + 3 + 0)*(u + 0 + 0) + 3*u + 2*u - 4*u + 5*u + 11 - 11). -22*u Expand (20 + 167 + 218)*(-2*o**4 - o**4 + 4*o**4). 405*o**4 Expand (5*z - 4*z + 4*z)*(-33*z**2 - 20*z + 20*z) + 3*z**3 + 0*z**3 - z**3. -163*z**3 Expand (-74*v**2 + 3*v**4 + v**3 + 75*v**2 + v**3 - v)*(v + 2 - 2)*(1 - 6 + 4). -3*v**5 - 2*v**4 - v**3 + v**2 Expand (38*j + 33*j - 87*j)*(2*j**3 - 5*j**3 + 2*j**3)*(-j - 3*j + 2*j). -32*j**5 Expand ((-3*h - h + 2*h)*(46*h**2 - 69*h**2 - 69*h**2) - h - h**3 + h)*(6*h + 0*h - 4*h). 366*h**4 Expand (y**2 + 0*y**2 + 0*y**2)*(5886*y**2 - 22*y**3 - 5886*y**2 - 2). -22*y**5 - 2*y**2 Expand 4*q**3 + 15*q - 2*q**3 - q**2 + 0*q**2 + (-4 - 4*q + 4)*(-q**2 + 0 + 0). 6*q**3 - q**2 + 15*q Expand (-d + 4*d - 47*d)*(-7*d**3 + d**3 + 0*d**3). 264*d**4 Expand (-4 - 6 - 4)*(22*b - 11*b - 4*b)*(-5*b**2 + 4*b**2 - b**2). 196*b**3 Expand 4*s**2 + s**2 - 7*s**2 + (-3 + 3 + 1)*(23*s**2 + 22*s**2 - 18*s**2). 25*s**2 Expand (5*k**2 - 4*k**2 + k**2)*(-2 + 4 - 3)*(258*k - 258*k + 4*k**2). -8*k**4 Expand (1 - 2 + 2)*(3 - 3 - 4*w) + 3*w - 7*w + 3*w + 5*w - 3*w - w + (-2*w + 6*w - 3*w)*(-4 + 2 + 3) + 4*w + 3*w - 5*w + 0*w + 0*w - 3*w. -4*w Expand (6293 - 2833 - 3012)*(3*k + k - 5*k)*(-3 + 0 + 1). 896*k Expand (-3*r - 9*r - 4*r)*((0 - 2 + 3)*(-1 + 3 - 1) - 2 - 1 + 1 + (16 - 10 - 10)*(0 - 2 + 3)). 80*r Expand (6 + 2*x - 6)*(3 - 2 + 0)*(3 + 0 - 1)*(-9 - 6 + 22). 28*x Expand (-2*v + 0*v - 3*v)*(24*v**2 - 10*v**2 + 5*v**2)*(-3*v - 2*v + 3*v). 190*v**4 Expand (0 + 6 - 5)*(3*l + 0*l - l)*(-3*l + 2*l - 3*l). -8*l**2 Expand (-d**3 + d**2 - d**2)*(0*d - 2*d - 5*d)*(2*d + 2*d - d) - 9*d**5 - 5*d**5 + 5*d**5. 12*d**5 Expand (-44 - 16 + 27)*(-5*d**3 + 2*d**3 + d**3). 66*d**3 Expand 503*x - 35528 + 35528 + x**4 + (x - x - x)*(-3*x**3 + 0*x**3 + 2*x**3). 2*x**4 + 503*x Expand (-3*q**2 + q**2 + q**2 + (2 - 2*q - 2)*(0 + 2*q + 0) - 20*q + 20*q + 2*q**2 + (-2 + 2 + q**2)*(1 + 4 - 3) + 2*q**2 + 26*q**2 + 0*q**2)*(-q + 2*q + q). 54*q**3 Expand (-1 + 2*k**2 + 1)*(k**2 - 2*k**2 - k**2) + (2 - 3 - 1)*(1 + k**4 - 1) + 165*k**4 - 1067*k + 1067*k. 159*k**4 Expand (-m**2 + 2 - 2)*(2*m**2 + 0*m**2 + 0*m**2) + 0*m**4 - 3*m**4 + m**4 + 27*m**4 - 554*m**3 + 554*m**3. 23*m**4 Expand (-2 + 2 + g**4)*(-4 + 1 + 2) + 2*g**4 + 2*g**4 + 0*g**4 - g**4 + 0*g**4 - g**4 + 1 + 0*g**4 - 2*g**4 + 1. -g**4 + 2 Expand (-2*s**2 + 0*s**2 + 4*s**2)*(2*s + s - 4*s) - s**3 - s**3 + 0*s**3 + 28 + 72*s**3 + 23*s**3 - 27. 91*s**3 + 1 Expand (35*u + 53*u**4 - 35*u)*(-4 - 5 + 0). -477*u**4 Expand (-477*y + 8*y**2 + 477*y)*(-2 + 4*y**2 + 2). 32*y**4 Expand (2*g**2 - 48 - 5*g**2 + 39)*(-g + 1 - 1). 3*g**3 + 9*g Expand 14*b**2 - b**3 - 27*b**2 + 2 + 21*b**2 + (b**2 - b**2 - 5*b**2)*(b + b + 0*b). -11*b**3 + 8*b**2 + 2 Expand -1 + 7*p - 2*p + 0*p + (2 - 5 + 4)*(-3*p + 0*p + p). 3*p - 1 Expand (3*n - n - n)*(98*n**2 + 194*n**2 + 2009 - 2009). 292*n**3 Expand -2*z**3 + 2 - 2 + z**3 - 2 + 0*z + 0*z + (-5*z**2 - 4*z**2 - z**2)*(-3*z - 1 + 1). 29*z**3 - 2 Expand (-2*v - 4*v + 19*v)*(1 - 2*v - 1)*(10 - 10 + v)*(-3 - 3 + 0). 156*v**3 Expand (4*h - 2*h - h)*(-3*h**3 + 4*h**3 - 2*h**3) - 4*h**4 - 9*h**4 + 3*h**4. -11*h**4 Expand (15*w - w - 4*w)*(w**4 + 0*w + 0*w) - w**5 + 75 - 6*w**3 - 157 + 80. 9*w**5 - 6*w**3 - 2 Expand (-14*l**2 - 4*l**2 + 4*l**2)*(-2 + 1 + 3)*(l + 3*l - 3*l + 4*l + 0*l - 6*l + (2*l - 1 + 1)*(3 + 0 - 1) + 4*l - 3*l + l). -140*l**3 Expand (-105*w**2 - 188*w**2 + 46*w**2)*(w**2 - 3*w**2 + w**2). 247*w**4 Expand ((o + 4*o - 3*o)*(2*o - o + o) + (4*o - 11*o + 3*o)*
{ "pile_set_name": "DM Mathematics" }
d the third derivative of -2*g**5 - 30743*g**4 + 23*g**3 - 139*g**2 + 94*g - 30. -120*g**2 - 737832*g + 138 Differentiate -24619903*g + 5056747 wrt g. -24619903 What is the second derivative of -96279*u**5 + 885*u**4 - u + 156786147 wrt u? -1925580*u**3 + 10620*u**2 What is the third derivative of -379961995*q**3 - 3163354*q**2 + 2*q - 6? -2279771970 What is the second derivative of o*r**3 + 6978*o*r**2 - 2*o*r + 72*o + 34*r**3 - 6*r - 4331 wrt r? 6*o*r + 13956*o + 204*r What is the second derivative of -3*q*s**2*x - 27*q*s*w**2*x + 3*q*s - 862*q*w**2*x + 101506*s**2*w**2*x + 18*s*w**2*x wrt s? -6*q*x + 203012*w**2*x What is the third derivative of 3637465*t**3 - 19001834*t**2? 21824790 Find the second derivative of 23649913*x**2*y - 3*x*y - x - 14300*y wrt x. 47299826*y What is the derivative of -31*p**2*z + 40632*p*z + 61*z + 1574 wrt p? -62*p*z + 40632*z What is the second derivative of 10521752*x**5 + 447*x + 3867 wrt x? 210435040*x**3 Find the third derivative of 764365*n**3*u**3 - 2*n**3*u**2 - 2*n**2*u - 211*n*u + 4*u**3 + 3*u**2 + 27*u - 9 wrt u. 4586190*n**3 + 24 Find the second derivative of 29364984*w**5 + 5601*w - 221. 587299680*w**3 Differentiate 2*o**3 + 1807655*o + 2263497 wrt o. 6*o**2 + 1807655 What is the derivative of -49310281*r - 49832587? -49310281 What is the third derivative of -17848481*u**5 + 33637443*u**2? -1070908860*u**2 Differentiate -36*m**4 - 3128*m**2 - 9735361. -144*m**3 - 6256*m What is the third derivative of 27747*f**5*g - 1640*f**3*g**3 - 1136*f**2*g**3 - 2243*g**3 wrt f? 1664820*f**2*g - 9840*g**3 What is the second derivative of 5258251*p**2 - 14*p + 249123 wrt p? 10516502 Find the first derivative of -916396*x**2 - 4*x + 12688531. -1832792*x - 4 Find the third derivative of -481832661*b**4 + 521670080*b**2 wrt b. -11563983864*b What is the third derivative of 555*f*o**4 + 3639*f*o**3 - 16*f*o**2 + 65625*f - o**2 wrt o? 13320*f*o + 21834*f Find the first derivative of -59274*v**2 + 56*v + 143922358 wrt v. -118548*v + 56 Differentiate -15056*o**2 - 167*o - 9406985 wrt o. -30112*o - 167 Find the second derivative of 118338*t**4 + 221*t**3 - 78333253*t. 1420056*t**2 + 1326*t What is the third derivative of 1444771*g**5 - 4*g**4 - g**3 + 330628744*g**2 wrt g? 86686260*g**2 - 96*g - 6 Find the second derivative of -266784990*n**3 - 92520911*n. -1600709940*n What is the second derivative of -93908522*f**3 - 162103803*f? -563451132*f What is the first derivative of -8*c**2 - 806206*c - 1135555292 wrt c? -16*c - 806206 Find the second derivative of -572029*a**2*l**2 + 11*a**2 - 18212*a*l**2 - 5*a*l - 2*a - 2*l**2 + 2 wrt a. -1144058*l**2 + 22 Find the first derivative of 6778998*c**2*d**2*o + 2*c**2*d**2 + 10*c**2*o**2 + 841505*c**2 + 8*c*d**2 + 1 wrt o. 6778998*c**2*d**2 + 20*c**2*o What is the first derivative of 454*b**4 + 342*b**2 + 3*b + 12654654 wrt b? 1816*b**3 + 684*b + 3 What is the second derivative of -233272324*l**4 + 2*l + 104151099? -2799267888*l**2 Find the third derivative of -3943528*q**6 - 2*q**2 + 682428*q wrt q. -473223360*q**3 Differentiate 3*p**2*w + 151917755*p**2 + 79121*p*w - 2*w with respect to w. 3*p**2 + 79121*p - 2 Find the third derivative of 234805*n**6 - 8*n**5 - n**2 + 76761*n - 224 wrt n. 28176600*n**3 - 480*n**2 What is the derivative of 7750*a**4*x**2 + 2199*a*x**2 - 11323369*x**2 + x + 7 wrt a? 31000*a**3*x**2 + 2199*x**2 Find the first derivative of 22*i*o**2 + 2335335*i*s + 10*o**2*s - o**2 - 355*o*s - 13*o + 4 wrt i. 22*o**2 + 2335335*s Find the first derivative of -314*z**4 - 9375*z**2 - 3*z - 376476142. -1256*z**3 - 18750*z - 3 What is the derivative of -n**4 + 2*n**3 - 287*n**2 + 6*n + 8553387? -4*n**3 + 6*n**2 - 574*n + 6 What is the second derivative of -28962*a**4 - 660*a**2 + 2191*a - 2413 wrt a? -347544*a**2 - 1320 What is the third derivative of m*u**4 + 2*m*u**3 - 8923518*m*u**2 - 14*m*u - 569*u**4 - 1307*u**3 wrt u? 24*m*u + 12*m - 13656*u - 7842 What is the derivative of 7932418*a**3*p - 4490114*a**3 wrt p? 7932418*a**3 Find the second derivative of -1219*g**2*p*u**2 - 35*g**2*p*u - g*p*u - g*u**2 + 67695*g*u - 1233*p*u**2 wrt u. -2438*g**2*p - 2*g - 2466*p What is the second derivative of 24646661*h**3 - 5012975*h wrt h? 147879966*h Differentiate -1685*w**2 - 8652*w + 21358084 wrt w. -3370*w - 8652 What is the derivative of -15582293*b + 9468784? -15582293 What is the third derivative of 10*v**3*w**3 - 251*v**3*w + 3*v**3 - 2*v**2*w + 3*v**2 - 34973*v*w**3 + 142*v*w**2 + 25*w**3 - w wrt w? 60*v**3 - 209838*v + 150 Find the third derivative of -582195626*s**5 + 6*s**2 - 2824670*s + 2. -34931737560*s**2 Find the first derivative of 63894626*u + 115866920 wrt u. 63894626 What is the third derivative of -229209706*g**3 + 277207737*g**2? -1375258236 What is the second derivative of 5745153*k**4*x**3 - 37*k*x**3 + 2*k*x**2 + 2*x**3 + 6*x + 8268 wrt k? 68941836*k**2*x**3 Find the second derivative of 120606*c**4 + 2*c**3 - 2*c**2 - 12848*c + 43 wrt c. 1447272*c**2 + 12*c - 4 Differentiate j**2*s**2 - 192763*j**2*s - 2474264*j**2 + 2*j*s**2 with respect to s. 2*j**2*s - 192763*j**2 + 4*j*s Find the second derivative of 432370*k**2*s**2 + 53*k**2*s*w**2 + k**2*s - 7*k*s*w**3 + 28*k*s*w + 6*k*w**2 - 122*s**2*w**3 - 32*w wrt s. 864740*k**2 - 244*w**3 What is the first derivative of -13918*q**2 - 225*q - 23400430 wrt q? -27836*q - 225 Find the second derivative of 10347574*p**4 - 4*p**2*q**3 - p*q**3 - 2*p*q - 14*p - 69*q**3 + q - 397 wrt p. 124170888*p**2 - 8*q**3 What is the derivative of 6743217*d**2 - 324545793? 13486434*d Find the third derivative of 269258317*k**5 + 13008401*k**2 - 3 wrt k. 16155499020*k**2 Differentiate 185948185*z + 432486920. 185948185 Find the second derivative of -11*r**3 + 68875*r**2 - 39376453*r. -66*r + 137750 Find the third derivative of -74*m**6 - 692312*m**5 - 217993658*m**2. -8880*m**3 - 41538720*m**2 Find the second derivative of 117*l*r**3*w - 207972*l*r**2*w**2 - 2*l*r**2*w + 6*l*r*w + 10*r**3*w**2 + 3*r**3*w + r**2 - 38*r*w wrt w. -415944*l*r**2 + 20*r**3 Find the third derivative of -243935*m**6 + 82*m**3 - 104041793*m**2 wrt m. -29272200*m**3 + 492 Differentiate -8*v**4 + 340007*v**3 - v + 8483655 wrt v. -32*v**3 + 1020021*v**2 - 1 Find the second derivative of -897604381*g**3 + 1345328*g - 71. -5385626286*g Find the third derivative of 6152693*n**4 + 46*n**3 + 3*n**2 + 47210096*n + 2. 147664632*n + 276 Find the first derivative of -314995184*n**3 + 758890599 wrt n. -944985552*n**2 Find the second derivative of 62527019*b**3 - 65*b + 262976. 375162114*b What is the first derivative of -32353404*a - 52104032 wrt a? -32353404 Differentiate 25253849*j**2 - 15325685 wrt j. 50507698*j Differentiate 5729458*c*f**3 - 2*c*f + 11*c + 253300 wrt f. 17188374*c*f**2 - 2*c What is the third derivative of 21654429*r*t**3 - 283475*r*t**2 + 36*r wrt t? 129926574*r Find the first derivative of 8970*x**4*z + 102*x**2*z**2 - 3*x + 44336*z**2 wrt x. 35880*x**3*z + 204*x*z**2 - 3 Find the third derivative of -76648*t**3*u**2 + 245*t**3 + 2*t**2*u**2 - 12*t**2*u - 2*t**2 + 7*t*u**2 - t*u + 397*t wrt t. -459888*u**2 + 1470 Find the third derivative of -2*a**3*r**3 + 169*a**3*r**2 + 13684*a**2*r**3 + 731*a*r**3 - 323752*a*r**2 wrt r. -12*a**3 + 82104*a**2 + 4386*a Find the third derivative of 216*f**6 + 1334*f**4 - 1109*f**2 + 9200*f - 2 wrt f. 25920*f**3 + 32016*f Find the second derivative of 3*p*z**5 - 3626051*p*z**2 - 490996*p*z - 3*z wrt z. 60*p*z**3 - 7252102*p Differentiate 269*t**2 - 4*t*v**3 + 817*t*v**2 - 75267164*v**3 wrt t. 538*t - 4*v**3 + 817*v**2 What is the derivative of 710699346*c**3*g - 86813615*c**3 wrt g? 710699346*c**3 What is the third derivative of -17764063*x**3 - 3493416*x**2 wrt x? -106584378 What is the third derivative of 28309228*a**4 - 18800439*a**2 wrt a? 679421472*a Find the first derivative of 9524*o**3*v + 4*o**3 - o**2*v - 837262*o + 169*v - 1 wrt v. 9524*o**3 - o**2 + 169 What is the third derivative of -1722972*w**3*y + 2*w**3 + 9*w**2*y + 374462*y wrt w? -10337832*y + 12 Find the third derivative of 47697984*l**5 - 14*l**2 + 470755. 2861879040*l**2 Differentiate 860805592*a + 533778680. 860805592 What is the first derivative of 188891626*p - 409058317 wrt p? 188891626 Find the second derivative of 115307309*s**2
{ "pile_set_name": "DM Mathematics" }
e smallest common multiple of v and 40? 40 Suppose -4*x - 20 = 0, 0 = 2*t + 5*x - 21 + 8. Let b = -2 - t. What is the smallest common multiple of 12 and (54/b)/(2/(-14))? 36 Let h = -15 + 142/9. Let b = 3/1706 + -50339/6824. Find the common denominator of h and b. 72 Suppose 2*j + 15954 = 2028. Let q = j - -69547/10. What is the common denominator of q and 99/4? 20 Suppose 5*w - 2*w = 4*v - 18, 2*w = -2*v + 2. Find the common denominator of (15/(-25))/((-9)/(-6)) and ((-63)/10 - w) + -2. 10 Suppose y - 18 = 5*o, 2*o + 3 = y - 9. Let h = 0 - -1. What is the least common multiple of y and h? 8 Suppose 0 = -3*o + 4*a + 8839, -5592 = -4*o - 3*a + 6185. Calculate the common denominator of o/(-300) - (-6)/15 and 29/6. 12 Let d(y) = 2*y - 8. What is the lowest common multiple of d(7) and 20? 60 Let w = 50 - 39. Calculate the lowest common multiple of 64 and w. 704 Suppose -2 = -3*x + b + 7, 5*b + 13 = -x. Let i(l) = 11*l. Suppose -5*r + 8 = -42. What is the least common multiple of r and i(x)? 110 What is the common denominator of 1 + 0 + 319/77 and -107/6? 42 Suppose 4*p - 26 = -2*b - 0*b, -41 = -4*p + 3*b. Suppose 21*d - 19*d = 10. Calculate the lowest common multiple of p and d. 40 Let j be (-463)/(-4) + (-5)/(-20). Suppose 2*m = 6*m - j. Find the common denominator of m and -125/6. 6 Suppose -33 = l - 4*l. What is the lowest common multiple of 6 and l? 66 Suppose 2*y - 4 = 6. Suppose -12 = -3*u, -5*v + 0*v + 20 = -y*u. Let c = -12 - -22. What is the least common multiple of v and c? 40 Let a = -46 - -68. Calculate the least common multiple of (6/(-18))/((-1)/18) and a. 66 Let r = -4535/12 - -1141/3. Suppose -3*h - 12 = -h. Calculate the common denominator of 435/(-72) + 2/h and r. 24 Suppose -14 = 4*z + 42. What is the lowest common multiple of (-2 - -6)*z/(-8) and 51/15 - (-2)/(-5)? 21 Suppose 2 = -f + m, -f + 3*f + 16 = 5*m. What is the lowest common multiple of (f/(-4))/(1/(-4)) and 22? 22 Let x be ((-1533865)/86640)/((-7)/(-10)). Let b = 607/24 + x. Let r = 53057/25270 + b. What is the common denominator of -91/10 and r? 10 Let w(m) = 2*m**2 + 2*m. What is the lowest common multiple of 10 and w(-3)? 60 Suppose -z - t = -3, -2*z + 3*t + 14 - 3 = 0. Calculate the smallest common multiple of z and 12. 12 Let a be 1*(2 - -12)/(-2). Let x be ((-904)/1)/(a/2). Let p = 10603/42 - x. Find the common denominator of p and 33/20. 60 Suppose -w - 4*i + 442 = -9*i, -2240 = -5*w - 5*i. Let k = 929/2 - w. Find the common denominator of 3/(-5) - 634/60 and k. 6 Suppose 6*z = 3*z + 3. What is the smallest common multiple of 12 and (15/(-20))/(z/(-24))? 36 Let c(j) = -j**2 - 5*j + 40. What is the smallest common multiple of c(-9) and 19? 76 Let d(j) = -j - 24. Let z(v) = v + 36. Let q(f) = 8*d(f) + 5*z(f). What is the smallest common multiple of 4 and q(-8)? 12 Let t = -737/72 - 1/72. Find the common denominator of t and -73/8. 8 Suppose -2*f + 3*f = 6. Calculate the lowest common multiple of f and 8. 24 Let a(p) = 2*p**3 - p**2 + p - 1. Let c(s) = -s**3 - 9*s**2 + 1. Let w be c(-9). Calculate the smallest common multiple of a(w) and 11. 11 Suppose 5*n = 4*h + 20, 6*n - n + 40 = -2*h. What is the common denominator of 77/2 and 2/h + 254/(-55)? 22 Let h(m) = 4*m + 3. Let p be h(2). Let b = 33 - p. Suppose -2*a + 6 = -22. Calculate the least common multiple of b and a. 154 Let h = 1605 - 4882/3. What is the common denominator of -14/5 and h? 15 Let d(i) = -6 + 4*i**2 - 3*i**2 - 5*i + 0*i**2 + 2. What is the smallest common multiple of d(6) and 11? 22 Let c = 6 - 2. Suppose -35 = -c*l + 5. Calculate the lowest common multiple of 22 and l. 110 Let f = -125 + 155. What is the smallest common multiple of 22 and f? 330 Suppose -29 = -2*l - 2*v - 7, l - 9 = -2*v. Suppose 2*s - l = 3*y, -y - 4 = -2*s + 11. What is the lowest common multiple of 5 and s? 40 Find the common denominator of (1 + -6)/((-10)/(-85)) and (242/(-5))/(-8 - 0). 20 Let r = 7 - 0. Calculate the least common multiple of (-2)/r + 174/21 and 10. 40 Let t = 1 + 11. Let c(n) = 0 + t - 1 + n. What is the lowest common multiple of 4 and c(-8)? 12 Let c(a) = -a**3 - 6*a**2 - 2*a + 4. Let s be c(-6). Let i = s + -6. Find the common denominator of (-171*(-1)/i)/(-3) and 109/6. 30 Let d be ((-244)/(-14))/((-2)/4). Let h = -1765/42 - d. What is the common denominator of 97/16 and h? 48 Let y = 34294/9 - 3816. What is the common denominator of (-2)/(-10) + (-366)/(-120) and y? 36 What is the lowest common multiple of ((-1)/(-3))/(1/54) and 10? 90 Let z = -12406781/6 + 2062556. Let k = -5227 - z. What is the common denominator of k and -27/14? 42 Let n be 4/(-3)*531/(-6). Suppose -4*x - n = 5*y, -2*x + 8 - 2 = 0. Let h = -15 - y. What is the lowest common multiple of h and 6? 66 Suppose 33 + 3 = 4*o. What is the smallest common multiple of (-10)/15 + (-26)/(-3) and (-980)/(-45) + 2/o? 88 Let x = 6 - 12. Let u(v) = v + 6. Let a be u(x). Suppose -5*t - 3*j + 1 = -0, 3*t - 4*j - 18 = a. What is the least common multiple of 10 and t? 10 Let r = 2853 + -19918/7. Calculate the common denominator of 45/112 and r. 112 Let t = 3 - -17. What is the least common multiple of t and 14? 140 Let q(a) = -a**3 - 15*a**2 - 16*a - 14. Calculate the smallest common multiple of q(-14) and 63/6 - 2/4. 70 What is the common denominator of 3095/220 - ((-18)/33)/3 and 53/10? 20 Let u(b) = b + 1. Let o(q) = 17*q. Let f(d) = o(d) - 3*u(d). Let l be f(-4). What is the common denominator of -8 + 8 - l/9 and -56/3? 9 Suppose -p + 0 = 100. Calculate the common denominator of (5/p)/(1/138) and 19/8. 40 Suppose 2 = 4*h - 6. Let s(o) = -5*o + 5. Let a be s(-5). What is the lowest common multiple of h and 162/a - (-4)/(-10)? 10 Let t = 3559 + -106849/30. What is the common denominator of ((-39)/(-8))/((-15)/18) and t? 60 Let f be 18/(-4) - 5/(-10). Let d = f - -12. What is the smallest common multiple of 4 and d? 8 Let f = 1385 + -16555/12. What is the common denominator of 10/9 and f? 36 Let u(j) = j - 1. Let z be 1*(-2 - -4) + 1. Let m = 8 - 4. Calculate the lowest common multiple of m and u(z). 4 Suppose 27 = 4*z - 13. Suppose -q = 2 - 4. What is the lowest common multiple of z and q? 10 Suppose 0 = -3*v + 6. Suppose 0*n - v*n = -5*j + 13753, -n = j - 2745. Let x = -19198/7 + j. What is the common denominator of x and 39/8? 56 Let s = 43 + -16. What is the lowest common multiple of s and 24? 216 Find the common denominator of 3/10 and (-427)/70 - (0 - -1). 10 Let g = -4 - -8. Suppose g*z = 7*z - 6. Calculate the smallest common multiple of z and (0 + -5)/((-2)/8). 20 Let l(w) = w**2 - 5*w - 4. Let y be 38/5 - (-4)/10. Let v be l(y). Suppose k - v = -k. Calculate the lowest common multiple of k and 4. 20 Let g = 2/2019 + -167581/4038. Suppose 0 = -3*h + 6. Find the common denominator of g and (-118)/12 + h/(-6). 6 Let y = -991/7 + 137. Find the common denominator of -3 and y. 7 Calculate the common denominator of 95/2 and (-3 + (-158)/48)*-2. 12 Let o be (-2)/11 - 180/(-22). Let p = o - 4. Find the common denominator of p/176*(-4)/(-2) and 33/16. 176 Let x = 20459/6 - 3398. Let o be (-6087)/15 - (2 + -2). Let c = o + 411. Find the common denominator of c and x. 30 Suppose 0 = -3*c + 4*c, 4*c + 108 = 3*d. What is the smallest common multiple of 10 and d? 180 Suppose 0 = -4*j + 4*w + 56, -5*w + 13 = 4*j - 7. Let q(i) = i**2 + 3*i. Let b be q(-3). Let z = b + 3. Calculate the smallest common multiple of j and z. 30 Suppose -r - 4*h + 2 = -10, 29 = 2*r + 3*h. What is the lowest common multiple of 4 and r? 16 Let m be 4/30*(-36)/(-10). Let o = -1001/50 - m. Let q = -3/2627 + 328411/31524. What is the common denominator of q and o? 12 Let f = 74863/12 + -6243. What is the common denominator of f and 2/(-6) - 95/300? 60 Let w(f) = f**3 + 6*f**2 - 7*f - 5. Let m be w(-4). Suppose -g + 6*g - m = 0. What is the least common multiple of g and 4? 44 Let c = -16 + 23. What is the lowest common multiple of c and 10? 70 Let o = 56725/12 - 4734. Calculate the common denominator of o and (-495)/(-108) - (-20)/4. 12 Let s = -4 - -7. Calculate the least common multiple of 27 and s. 27 What is the smallest common multiple of (-46)/(-6) + 2/(-3) and 2/(-10) + (-328)/(-40)? 56 Let s = -3/859 - 42851/28347. Calculate the common denominator of 29/6 and s. 66 Let f
{ "pile_set_name": "DM Mathematics" }
54*g Find the third derivative of 36715*k**4 + 274*k**3 + 11784612*k**2 - 2 wrt k. 881160*k + 1644 Find the first derivative of -3383*v**2*z + 3*v**2 - 506*z + 2333033 wrt z. -3383*v**2 - 506 What is the derivative of -107445419*h**2 - 201820222 wrt h? -214890838*h Find the second derivative of 9883894*q**2 - 80390*q wrt q. 19767788 Find the second derivative of -a**4 - 18*a**3 + 14177*a**2 - 197663862*a wrt a. -12*a**2 - 108*a + 28354 What is the second derivative of 20980854*p**3 - 5026*p - 491 wrt p? 125885124*p What is the second derivative of 53608968*t**3 + 2*t - 39419059 wrt t? 321653808*t Find the second derivative of -204497*d**2*j + 12*d**2 + 9540423*d - 3*j wrt d. -408994*j + 24 Find the second derivative of 91259418*z**4 + 10*z + 4477466 wrt z. 1095113016*z**2 What is the third derivative of -3039103*d**3 - 3967*d**2 - 150*d wrt d? -18234618 What is the derivative of -79459204*a**2*z**2 - 15309*a**2 + 2*a*z**4 + 313 wrt z? -158918408*a**2*z + 8*a*z**3 What is the third derivative of 9358251*c**6 + c**4 - 39144966*c**2? 1122990120*c**3 + 24*c What is the second derivative of -5*c**5 - 38*c**4 + 1595*c**2 - 65*c - 31193 wrt c? -100*c**3 - 456*c**2 + 3190 What is the third derivative of -c*k**4 + c*k**2 - 148*c*k - 287*c + 4222*k**4 + 80*k**3 - k**2 + 2 wrt k? -24*c*k + 101328*k + 480 Differentiate -34423577*a*c + 114783016*c - 2 wrt a. -34423577*c Find the first derivative of -100873916*s**3 - 98432315 wrt s. -302621748*s**2 What is the third derivative of -1992*z**4 - 246*z**3 - 7825712*z**2 wrt z? -47808*z - 1476 What is the third derivative of 22*d**4*l - 21*d**4 - 2603*d**3*l + 25*d**2 + 137821*d*l wrt d? 528*d*l - 504*d - 15618*l What is the second derivative of -586*b**5 + 119100*b**2 - 1590925893*b? -11720*b**3 + 238200 Differentiate 3*j*l**3 + 301594*j + 45*l**3 - 1188*l**2 - 15 wrt j. 3*l**3 + 301594 What is the third derivative of 19*i**4*k*w - 10516*i**4*w + 14*i**3*k + 2295*i**2*k*w - 10152*i*w wrt i? 456*i*k*w - 252384*i*w + 84*k Differentiate 3*b**2 - 1867870*b*o + 7494631*o with respect to b. 6*b - 1867870*o What is the derivative of -422665532*x**2 - 115283043? -845331064*x Find the second derivative of 117211409*f**2 - 229430*f - 18 wrt f. 234422818 Find the third derivative of -1418492*s**3 + 67797755*s**2. -8510952 What is the third derivative of -1293757*h*o**3*w**2 - 2018*h*o**2*w - 14*h*o*w - 11*h*w**2 + 2*w**2 wrt o? -7762542*h*w**2 Find the third derivative of 3156507*v**4 + 13*v**2 - 104025 wrt v. 75756168*v Find the first derivative of -238*g*h**3*x + 26*g*h**2 + 8*g*h*x - 2*h**3*x - 7010*h**3 + 2*h**2*x - x + 4 wrt g. -238*h**3*x + 26*h**2 + 8*h*x What is the second derivative of 11*a**2*d*w**2 - 3865951*a**2*d*w - 2*a*d*w**2 + 610*a*d*w + 2*a*w - 277*d*w**2 + 2*d*w - 6 wrt a? 22*d*w**2 - 7731902*d*w Differentiate -24378765*y**2 - 5*y + 447637346. -48757530*y - 5 What is the second derivative of -174114*b**4 - 88*b**3 - 2459*b - 10413 wrt b? -2089368*b**2 - 528*b What is the second derivative of -125783858*c**2 + 126161220*c? -251567716 Find the third derivative of -15641560*d**6 + d**5 + 3*d**2 + 4834*d + 695. -1876987200*d**3 + 60*d**2 Find the third derivative of -4007996*i**6 + 449009*i**2. -480959520*i**3 What is the third derivative of 17420428*p**3*q - 95*p**2 - 287585*q wrt p? 104522568*q What is the second derivative of 1044*c**2*m**3*y**3 - 194974*c**2*m*y**3 - 1390534*c*m*y**3 + 5*c*y**3 + 4*m**3 wrt c? 2088*m**3*y**3 - 389948*m*y**3 Find the second derivative of -1032060*l**2*z**2 - 3*l**2*z - 42211*l**2 + 3*l*z**5 - l*z + 7 wrt z. -2064120*l**2 + 60*l*z**3 What is the derivative of 192823175*m**2 - 77622539? 385646350*m What is the second derivative of -3754*j**3 + 11575*j**2 - 90590031*j wrt j? -22524*j + 23150 What is the third derivative of -11402833*z**3 + 85*z**2 - 5039*z wrt z? -68416998 Find the second derivative of -3*c**2*f**3 - 869713*c**2 + 5880*c*f**3 + 2*c*f - 870 wrt c. -6*f**3 - 1739426 Differentiate 29373884*m**3 + 16387993. 88121652*m**2 What is the first derivative of 2951475*o - 8118902? 2951475 Find the third derivative of -p**6 + 395*p**5 + 1867*p**3 + 78*p**2 - 41*p - 1572 wrt p. -120*p**3 + 23700*p**2 + 11202 What is the third derivative of v**4 - 4589576*v**3 + 29727928*v**2 wrt v? 24*v - 27537456 Find the second derivative of 30108368*p**3 + 1092389*p - 18 wrt p. 180650208*p What is the second derivative of 2*d*w**3 - 5463946*d*w**2 + 3*d*w - 683189*d - 3*w wrt w? 12*d*w - 10927892*d Differentiate 25423*g**3 + 4*g**2 - 36*g - 12043628 wrt g. 76269*g**2 + 8*g - 36 Find the second derivative of -716*f**2*n*z**2 - 41*f**2*n*z + 87364*f*n*z**2 + 101121*f*n wrt z. -1432*f**2*n + 174728*f*n Find the third derivative of -5514900*x**6 - 1613812*x**2 + 2 wrt x. -661788000*x**3 Find the third derivative of s**5 - 2*s**4 - 31396804*s**3 + 1106139588*s**2 wrt s. 60*s**2 - 48*s - 188380824 What is the third derivative of 21670157*r**2*z**3 - 274*r**2*z**2 + 18*r**2*z + 9*r*z**2 + 2*r wrt z? 130020942*r**2 Find the first derivative of -g*i**2*o + 4*g*i**2 - 1344*g*o - 14*g + 163*i**2*o - 3*i**2 - 2*i*o + o - 511 wrt g. -i**2*o + 4*i**2 - 1344*o - 14 Find the third derivative of -136451391*r**4 + 21166053*r**2 wrt r. -3274833384*r What is the first derivative of 169620*t**2 - 3*t - 18851418 wrt t? 339240*t - 3 What is the third derivative of 940080*d*u*v**5 + 5688*d*u*v + 164*d*u + 5*u*v**4 - u*v**2 wrt v? 56404800*d*u*v**2 + 120*u*v What is the second derivative of -16555931*d**2*f*i**2*z + 74*d**2*f - 2*d**2*i**2 - 3*d*f*i - 36*d*f*z - d*i + 2*f*i*z - 17*f wrt i? -33111862*d**2*f*z - 4*d**2 Differentiate 3589867*i + 4059308 wrt i. 3589867 What is the second derivative of -78515683*a**2 + 67611374*a wrt a? -157031366 Find the first derivative of 7919*w**3 - 2*w**2 - 244*w + 26775020. 23757*w**2 - 4*w - 244 What is the third derivative of -121293776*q**4 - 80090511*q**2 wrt q? -2911050624*q What is the first derivative of 2*z**4 + 2*z**3 + 486*z**2 - 48*z + 60800115 wrt z? 8*z**3 + 6*z**2 + 972*z - 48 Find the second derivative of -i*u**3 - 72843*i*u + 14*i + 4853*u**3 - 1383*u**2 + 3*u + 2 wrt u. -6*i*u + 29118*u - 2766 Find the second derivative of 42729511*j**2 - 51255437*j wrt j. 85459022 Find the second derivative of 2*a*d**2 - 21*a*d + 3408471*d**2 - 28095*d wrt d. 4*a + 6816942 What is the derivative of 13*g**2*h - 4*g**2*l + g*l - 2*g - 1567010*h*l + 838501*l - 1 wrt h? 13*g**2 - 1567010*l Find the third derivative of -23807*k**3*v**3 + 678*k**3 - 57*k**2*v**3 - k**2*v + k*v**2 + k*v + 23*v**3 + 1472*v wrt k. -142842*v**3 + 4068 What is the third derivative of 855*v**5 - 3338*v**4 + 9*v**3 - 118173*v**2 + 80*v - 4 wrt v? 51300*v**2 - 80112*v + 54 What is the derivative of -73811236*g - 75587737 wrt g? -73811236 What is the third derivative of -189*d**4*h + 19*d**4 - 12*d**3*h - 10*d**3 - 107*d**2*h - 110*d - 740*h wrt d? -4536*d*h + 456*d - 72*h - 60 Find the first derivative of -3*h*k**2*z - 518*h*k + 2*h - 2790605*k**2*z + 71*k**2 + 3*k + 3 wrt z. -3*h*k**2 - 2790605*k**2 Find the second derivative of 4057*o**4 - 17*o**3 - 591*o**2 + 711832934*o wrt o. 48684*o**2 - 102*o - 1182 What is the third derivative of 95159123*a**3 + 108715298*a**2 wrt a? 570954738 What is the second derivative of 176373835*m**2 + 237*m - 137384 wrt m? 352747670 What is the third derivative of -4373*g**5 - 3*g**4 + 88*g**3 - 16*g**2 - 3594059? -262380*g**2 - 72*g + 528 Find the third derivative of -3*m**3*u**3 - 6304601*m**3 + 4*m**2*u**3 - 2*m**2*u**2 - 1560*m*u**2 - 38*m*u - u**3 wrt m. -18*u**3 - 37827606 What is the third derivative of -872716912*u**4 + 169144859*u**2 + 1 wrt u? -20945205888*u Differentiate -5*a**2*p - 26678182*a**2 + 7*a*p + 647530*p + 2 with respect to p. -5*a**2 + 7*a + 647530 What is the third derivative of 3101*b**5 + 194*b**4 - 2*b**3 - 360303*b**2 - 2? 186060*b**2 + 4656*b - 12 What is the first derivative of -279598*r**2 + 307*r + 131925776 wrt r? -559196*r + 307 What is the second derivative of 848258*d*z**2 - 3004648*d*z + 5*z**4 + 2*z wrt z? 1696516*d + 60*z**2 What is the third derivative of -19332319*t**3 + 4797*t**2 + 20*t - 22? -115993914 Differentiate -6252615*k + 6242422 wrt k. -6252615 What is the second derivative of 23852*u**5*v - 7494*u**3*v - 6955456*u
{ "pile_set_name": "DM Mathematics" }
+ 2439 + 3*i**2 + 528 - 2967 + 4*i**2. 7*i**2 Collect the terms in -116 + 215 - 28 - 71 + 129*o. 129*o Collect the terms in -104*q**2 - 279*q**2 + 412*q**2 - 104*q**2 + 78*q**2. 3*q**2 Collect the terms in 5767*s**3 - 3*s**2 + 5732*s**3 + 3*s**2 - 11498*s**3. s**3 Collect the terms in 34*p**3 + 2700*p - 306*p + 1842*p - 33*p**3 - 159*p. p**3 + 4077*p Collect the terms in -749043*d**3 - 422 + 422. -749043*d**3 Collect the terms in 117951 - 16663*z + 8334*z + 8335*z - 117951. 6*z Collect the terms in 32870*r**2 - 1 - 146811*r**2 + 1. -113941*r**2 Collect the terms in -44*c**3 - 115*c**3 + 1 + 3 - 99*c**3 - 4. -258*c**3 Collect the terms in -2 + 5 - 101066*u**3 + 5 - 8. -101066*u**3 Collect the terms in -7*d - 2*d + 5*d - 1548 + 3*d + 3*d. 2*d - 1548 Collect the terms in 75 - 60*g + 204*g - 95*g - 56*g. -7*g + 75 Collect the terms in 334*z - 35552*z**2 - 35566*z**2 + 71098*z**2 - 334*z. -20*z**2 Collect the terms in 4*h + 0*h + 297258381*h**2 - 4*h - 297258396*h**2. -15*h**2 Collect the terms in -238611*d**2 - 5 + 725673*d**2 - 2*d + 2*d. 487062*d**2 - 5 Collect the terms in 1958 + q - 1001 - 326*q**3 - 955. -326*q**3 + q + 2 Collect the terms in -23*r**3 - 286598563 + 147*r**2 - 147*r**2 + 286598563. -23*r**3 Collect the terms in 834 + 16278*a - 2*a**2 - 16278*a. -2*a**2 + 834 Collect the terms in -219 + 31 + 98 - 2*v. -2*v - 90 Collect the terms in 37*s - 18*s - 33*s + 110*s + 22*s**3 + 61*s - 3*s**2. 22*s**3 - 3*s**2 + 157*s Collect the terms in t - 130 + 409 - 58 - 100. t + 121 Collect the terms in -2730*g**2 + 8252*g**2 - 2752*g**2 - 2752*g**2. 18*g**2 Collect the terms in 73*c - 45*c**2 + 68*c + 52*c**2 + 59*c - 200*c. 7*c**2 Collect the terms in 14429 + 38537*o**2 - 38533*o**2 - 7258 - 7254. 4*o**2 - 83 Collect the terms in y + y**2 + 6*y**2 + y + 199 - 11*y**2 - y. -4*y**2 + y + 199 Collect the terms in 175*a + 173*a - 7165*a**2 - 348*a. -7165*a**2 Collect the terms in -28*w**2 - 8*w**2 - 56*w**2 - 14*w**2 - 1068*w + 1069*w. -106*w**2 + w Collect the terms in 2*s**2 + 2*s**2 + 0*s**2 + 4*s**2 - 15317749 + s**2 + 15317749. 9*s**2 Collect the terms in -125874*d + 62884*d + 62976*d. -14*d Collect the terms in -2*m + 2 + 0 + 11 + 44 - 39 + 4*m. 2*m + 18 Collect the terms in 630*d**3 + 613*d**3 + 609*d**3 + 658*d**3 - 2463*d**3. 47*d**3 Collect the terms in -271*t**2 + 1 + 946*t**2 - 307*t**2 - 1. 368*t**2 Collect the terms in -138*u**2 + 78*u**2 - 12*u + 2 + 39*u**2 + 59*u**2 + 12*u. 38*u**2 + 2 Collect the terms in 418*f**2 - 406*f - 224*f**2 - 192*f**2. 2*f**2 - 406*f Collect the terms in -582202571 - 2*t - 582202569 + 1164405140. -2*t Collect the terms in -380*t**3 + 2675*t**3 - 2016*t**3. 279*t**3 Collect the terms in 268*c + 286*c - 894*c - 701*c - 532*c. -1573*c Collect the terms in -p + 153218*p**3 - 152873*p**3 + p + 4. 345*p**3 + 4 Collect the terms in -10*b**3 + 189015040 - 189015040. -10*b**3 Collect the terms in -627659965*i**2 - 25*i**3 + 627659965*i**2 - 125*i**3. -150*i**3 Collect the terms in 1948*c + 1369*c - 1068*c. 2249*c Collect the terms in 79590*d - 26526*d - 26529*d - 26524*d. 11*d Collect the terms in -6*a - 7 - 6*a + 4*a - a + a - 7*a. -15*a - 7 Collect the terms in 67781*n + 5340 + 38336*n - 5340. 106117*n Collect the terms in 544*l**3 - 1366*l**3 + 430*l**3. -392*l**3 Collect the terms in m + 8*m - 9*m - 38861*m**3 + 38679*m**3. -182*m**3 Collect the terms in 49*c**3 + 96*c**3 + 10*c**3 - 152*c**3. 3*c**3 Collect the terms in -84*o - 46*o + 40*o - 20*o**2 - 78*o**2 - 209*o. -98*o**2 - 299*o Collect the terms in 7*y - 470861 - 471075 + 941936. 7*y Collect the terms in m + 1134 - 2857 + 1712 + 9*m. 10*m - 11 Collect the terms in 386*q**3 - 7*q - 146*q**3 - 128*q**3 + 43 - 135*q**3 - 36 - 4*q. -23*q**3 - 11*q + 7 Collect the terms in -108774*f**3 - 108799*f**3 + 217551*f**3. -22*f**3 Collect the terms in 22890252*v - 22890251*v + 3 - 55 - 1. v - 53 Collect the terms in 1007*h**2 + 8*h**3 - 13*h**3 - 529*h**2 - 572*h**2. -5*h**3 - 94*h**2 Collect the terms in 58 - 17*z**3 - 3*z + 61 + 52 - 222 + 51. -17*z**3 - 3*z Collect the terms in -5362*q - 1225*q + 37 + 9 + 1310*q. -5277*q + 46 Collect the terms in 2854819 - 1427400 - 17*z - 1427419. -17*z Collect the terms in 372*h + 344*h - 1843*h + 372*h + 379*h + 378*h. 2*h Collect the terms in 12*a**2 + 28*a - 63*a + 31*a - 22*a**2 + 91. -10*a**2 - 4*a + 91 Collect the terms in 41 - 226828*m - 107 + 30 + 33. -226828*m - 3 Collect the terms in -44 - 19*l + 65*l - 107*l + 60*l. -l - 44 Collect the terms in -92 + 24 + 67*i + 15 + 24 + 29. 67*i Collect the terms in -3803*r**2 - 3607*r**2 + 7759*r**2. 349*r**2 Collect the terms in 2819*r + 5 - 5 - 866*r. 1953*r Collect the terms in 11766*p - 23*p**2 - 22*p**2 + 46*p**2 + 2*p**3. 2*p**3 + p**2 + 11766*p Collect the terms in -2*f**3 + f**3 - 2*f**3 - 3*f**3 + 5*f**3 - 341*f**2 - f**3. -2*f**3 - 341*f**2 Collect the terms in 1962*n**2 + 850*n**2 - 3529*n**2. -717*n**2 Collect the terms in -6941*v - 6*v**2 + 4138*v + 2803*v. -6*v**2 Collect the terms in -41*j**2 - 5*j**3 + 50*j**2 + 93*j**2 + 36*j**2. -5*j**3 + 138*j**2 Collect the terms in -552997*j + 276980*j + 276026*j. 9*j Collect the terms in 3468*g**2 - 8593*g**3 - 1718*g**2 - 1750*g**2 + 8597*g**3. 4*g**3 Collect the terms in -8985*l - 8482*l - 12836*l. -30303*l Collect the terms in -5 - 7 + 5 + 2 - 176*k**2 + 5. -176*k**2 Collect the terms in -866*x - 818 - 851 - 1932*x + 1668. -2798*x - 1 Collect the terms in -2095*d**2 - 2109*d**2 - 2094*d**2 - 2084*d**2 + 12546*d**2 - 2103*d**2 - 2107*d**2. -46*d**2 Collect the terms in -33*p - 28*p + 2*p - p - 27*p + 82*p. -5*p Collect the terms in 41*m**3 - 40*m**3 + 1049*m + 0*m**3. m**3 + 1049*m Collect the terms in 1425749324 - 8*y**2 - 1425749324. -8*y**2 Collect the terms in 38 - 40*c**2 - 102 - 39*c**2 + 64 + 148*c**2. 69*c**2 Collect the terms in -105 - 106*z**3 + 20 + 14 + 71. -106*z**3 Collect the terms in -28*x - 1046*x**2 + 58*x + 25976*x**2 - 30*x. 24930*x**2 Collect the terms in -50 - 48*q**3 - 44*q**3 + 154*q**3 - 28 + 78 - 59*q**3. 3*q**3 Collect the terms in 4511*s**3 - 41730 + 41729 - 919*s**3. 3592*s**3 - 1 Collect the terms in 1531*c**3 - 569 - 376*c**3 + 558. 1155*c**3 - 11 Collect the terms in 3*m**3 - 6*m - 14*m + 4*m - 4*m - 42*m. 3*m**3 - 62*m Collect the terms in -211066*o**2 + 105700*o**2 + 105681*o**2. 315*o**2 Collect the terms in -981*d**3 - 8373*d**3 + 37286*d**3 + 10164*d**3. 38096*d**3 Collect the terms in -2943*i + 8373*i - 5283*i. 147*i Collect the terms in 466*b**2 + 1202*b**2 - 4*b - 213 - 178 + 391 + 5*b. 1668*b**2 + b Collect the terms in -3136*c - 7517*c**2 + 3136*c + 7515*c**2. -2*c**2 Collect the terms in -6486*v**3 + 1687854587*v + 6488*v**3 - 1687854587*v. 2*v**3 Collect the terms in -506 - 498 - 55*v**2 - 76*v**2 + 985 - 74*v**2. -205*v**2 - 19 Collect the terms in 821 + 823 + 829 - t + 830 + 823 - 4126. -t Collect the terms in 71318*m - 23768*m - 23761*m - 23786*m. 3*m Collect the terms in 2 + 1593*a - 2*a**2 - 303*a - 1. -2*a**2 + 1290*a + 1 Collect the terms in 3 + 499619*r - 166536*r - 166541*r - 166530*r. 12*r + 3 Collect the terms in -1349*r**2 - 34195*r**2 + 2104*r**2. -33440*r**2 Collect the terms in -11335*p + 22184*p - 11232*p. -383*p Collect the terms in -68*d - d + 18*d + 16 + 22*d. -29*d + 16 Collect the terms in -319867*f**2 - 319883*f**2 + 959643*f**2 - 319892*f**2. f**2 Collect the terms in 2586673*s + 2 - 2444272*s - 9528389*s - 940342*s. -10326330*s + 2 Collect the terms in -4 + 4 + 6272*o - 9850*o. -3578*o Collect the terms in -1588484*p**2 + 3177095*p**2 - 1588610*p**2. p**2 Collect the terms in -193 + n**2 - 75*n + 186 - 181 + 75*n + 188. n**2 Collect the terms in 50 + 996*t - 150 + 51 + 49. 996*t Collect the terms in -13214*y + 38*y**2 + 310*y**2 - 13172*y + 26388*y. 348*y**2 + 2*y Collect the terms in 386 - 2127*x**3 + 4668*x**3 - 2496*x**3 - 388. 45*x**3 - 2 Collect the terms in 2 + 173*b + 7*b**3 - 357*b + 184*b - 2*b**3. 5*b**3 + 2 Collect the terms in -1 - 66*r**2 + 17*r**2 + 7*r**2 - 15*r + 4 + 1 - r**3. -r**3 - 42*r**2 - 15*r + 4 Collect the terms in -494*j**2 - 9*j**3 - 1 + 27*j**3 + 56*j**2 - 3*j**3. 15*j**3 - 438*j**2 - 1 Collect the terms in 40800 + 40804 + 40810 + 41176 + 2*x**2 - 163590. 2*x**2 Collect the terms in -10935 - 575*u + u**2 + 2*u**2 - 5*u**2 +
{ "pile_set_name": "DM Mathematics" }
3 + sqrt(343) + -5 + 3 + 4 + ((sqrt(448) - sqrt(28))/sqrt(4) - (sqrt(175) + 2))))**2. 1080*sqrt(7) + 6624 Simplify -1 + (-5*sqrt(384)*-1)/(sqrt(1200)*1). -1 + 2*sqrt(2) Simplify ((sqrt(234)*4 + sqrt(26) + sqrt(26)*2*6)/(-6*sqrt(32) - sqrt(36)/sqrt(2))*-3)**2. 8125/81 Simplify 2 + 2 + ((sqrt(24) - sqrt(48)/sqrt(2))/sqrt(8) - (sqrt(6)/sqrt(2) + 4)) + 5 + 1 + sqrt(363) + (sqrt(120)/sqrt(10))**2. 10*sqrt(3) + 18 Simplify -4*(1 + -3 + sqrt(1568) + -1 + (0 + sqrt(1568))**2 + 3)*4. -25088 - 448*sqrt(2) Simplify (-6*(5*-6*-3*(-3 + 2*sqrt(343)) + 2))**2. -24312960*sqrt(7) + 402660864 Simplify ((-4*2*(sqrt(1300) - (sqrt(1300) + (sqrt(1300) - -1*sqrt(1300) - sqrt(1300)))))**2 - (4 + (-3 + 3*sqrt(1300) + sqrt(1300))**2)) + -2. 240*sqrt(13) + 62385 Simplify 5 + -6*(sqrt(34)/sqrt(2) - sqrt(17))**2 + 4*sqrt(153) + (sqrt(204) - 6*sqrt(204)*2)/(sqrt(108)*1). 5 + 25*sqrt(17)/3 Simplify (((sqrt(21) + sqrt(189)*1 + sqrt(63)/sqrt(48))*3)/(((-2*sqrt(216))/sqrt(9))/(sqrt(24)/(sqrt(3) + (-2*sqrt(3) - sqrt(3))))))**2. 18207/256 Simplify 1 + ((-5 + (sqrt(931)*1*4 - (sqrt(931) + sqrt(931) + -1 + 5)))*-2)**2. -1008*sqrt(19) + 15221 Simplify (sqrt(27)*2*2)/(sqrt(441) - 2*sqrt(441)) + ((sqrt(162) + 2*sqrt(162))/sqrt(6) - (sqrt(96)/(sqrt(32)/sqrt(4)))/sqrt(4)). 52*sqrt(3)/7 Simplify -3*((sqrt(80))**2 + -3 + sqrt(5) - (1 + sqrt(80))**2) + -4*((-4 + sqrt(20) - sqrt(5)) + (sqrt(5) - (sqrt(5) - (-2 + sqrt(5)))*4)). 13*sqrt(5) + 60 Simplify -1 + 3*(((3 + sqrt(245))*2)**2 - (0 + sqrt(500) + 1*sqrt(20))**2) + 2. 889 + 504*sqrt(5) Simplify -3*(-1 + sqrt(17) + -1 - sqrt(136)/(sqrt(16)/sqrt(2)))**2 + -3 + sqrt(119)/((2*sqrt(42))/sqrt(6)) + (sqrt(2057)*1 - sqrt(2057) - sqrt(17)*2*-1). -15 + 5*sqrt(17)/2 Simplify (-4 + 6*((-2 + sqrt(612) + -2 - sqrt(612))**2 - (sqrt(612) - (sqrt(612)*-2 + -2))**2))*-6 + 3. 2592*sqrt(17) + 197883 Simplify (-2*sqrt(88)*4 - (sqrt(88) - (sqrt(88) - (sqrt(88) - (sqrt(88)*3 - sqrt(88)) - sqrt(88))))*4)/(sqrt(512)*-3 - (sqrt(88)*2)/sqrt(11)). 0 Simplify (-5 + ((6*sqrt(4)/sqrt(2) + sqrt(2))**2 - (sqrt(2) - (0 + (sqrt(2) - sqrt(2)*-2) + sqrt(2))**2)) + sqrt(22)/(sqrt(11) - (sqrt(11) + sqrt(539)*-4)))*6. -81*sqrt(2)/14 + 750 Simplify (0 + sqrt(252) + 0 + 1*sqrt(252)*5)**2 + 2 + (((sqrt(252) - (sqrt(252) - (2 + sqrt(252))) - sqrt(252)) + -4)*6)**2. 9218 Simplify ((sqrt(180)/(sqrt(6)/sqrt(2)))/sqrt(5))/(6*-2*sqrt(4)*-4)*3. sqrt(3)/16 Simplify (-4*((-2*sqrt(80)*5 - sqrt(20)/((sqrt(192)/sqrt(4))/sqrt(12))) + -2))**2*6. 15744*sqrt(5) + 807264 Simplify -4 + (sqrt(1539) + -3)*-5 + ((sqrt(19) + (sqrt(19) - sqrt(171)))**2 + -3)*5 + 5. -45*sqrt(19) + 96 Simplify -4*(2 + ((sqrt(19) + -1 + -3)*-1 - (4 + (sqrt(304))**2 + -5)))*-5*-6. 120*sqrt(19) + 35640 Simplify -1 + 4 + (sqrt(1100) + -2 + sqrt(1100) - (sqrt(44) - (sqrt(44) - (sqrt(44) + 0 + sqrt(44)))*3))**2 + -2. -48*sqrt(11) + 1589 Simplify (-3*(sqrt(432) + sqrt(432)*2*2))/(4*((sqrt(144)/sqrt(4))/sqrt(6) - (-2*sqrt(66))/sqrt(11))). -15*sqrt(2)/2 Simplify 1 + ((3*(3*(sqrt(500) + sqrt(500)*-2) + -4) + 0)*-5 + 0)**2. 54000*sqrt(5) + 1016101 Simplify -4*((sqrt(19) - (sqrt(57) + 1*sqrt(57) + sqrt(57) + sqrt(57))/sqrt(3)) + -5 + sqrt(19) + 3 - 3*6*sqrt(190)/sqrt(90)). 8 + 32*sqrt(19) Simplify 1*(-2 + sqrt(152)/sqrt(200) + (sqrt(190)/sqrt(10) + sqrt(19))**2*3 + -4). sqrt(19)/5 + 222 Simplify (3*(sqrt(80) + sqrt(80) + -1)*4*4*5*4 + 0)**2 + 1. -14745600*sqrt(5) + 295833601 Simplify (-3*(sqrt(228)*-1*1 - sqrt(228))*5)/(sqrt(1200) - -2*sqrt(1200) - (sqrt(48) + (sqrt(144)/sqrt(3) + sqrt(48))*-5)) + 5. 5*sqrt(19)/8 + 5 Simplify ((sqrt(150)*1*-4*5)/(sqrt(75)*1*-2 + sqrt(75)))**2 + -5. 795 Simplify (5*(2*sqrt(192) + -1*sqrt(12)*-1))/(sqrt(64)*-2 - (sqrt(484) - -1*sqrt(484))). -3*sqrt(3)/2 Simplify (-3*sqrt(209)*-6*5*-4)/(sqrt(704)*-3 - (sqrt(11) - -2*sqrt(44))). 360*sqrt(19)/29 Simplify (sqrt(90)/sqrt(3)*-6 - (sqrt(180) - (-3*sqrt(180) + sqrt(180)))/sqrt(6))/(sqrt(360)*2 - (2*sqrt(1000) + sqrt(1000))) + -5. -5 + sqrt(3)/2 Simplify (-5*6*(sqrt(72) + -2*(sqrt(72) + -3) + sqrt(72) - -3*(sqrt(72) + 5)))**2*4. 2721600*sqrt(2) + 3920400 Simplify (sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-3)) + sqrt(512)*5)/((sqrt(704)*-1 - sqrt(44))/(6*sqrt(44))). -408*sqrt(2)/5 Simplify -4 + (sqrt(128) + 1)*5*-2 - (-1 + (2 + (sqrt(128)*-1)**2)*2). -273 - 80*sqrt(2) Simplify -6*(sqrt(1792) - (sqrt(1792) + -1)*-6) - (0 + sqrt(1792) + 5 + 2*(sqrt(1792) + -1))**2. -16101 - 960*sqrt(7) Simplify ((sqrt(650)*4)/(sqrt(22)/sqrt(176)) + -3 + sqrt(1300) + 2 + -5 + 4)**2. -360*sqrt(13) + 105304 Simplify 4*(0 + -2*sqrt(288) + sqrt(288) - sqrt(288))**2 + (sqrt(288) - (0 + (sqrt(288) - (sqrt(288) + -1)))**2) + -2 + 0 + -3 + -1. 12*sqrt(2) + 4601 Simplify ((-3*sqrt(76) - sqrt(76))*1*1)**2 + (sqrt(76)*1 - sqrt(76)) + 2 + 1 + 0. 1219 Simplify ((sqrt(1100) - ((2*sqrt(1100) - sqrt(1100)) + -1 - sqrt(1100)) - sqrt(1100)*1*-2)*-1 + 0 + sqrt(1100) + 0 + sqrt(1100) + 4 + 3)**2 + -4. -120*sqrt(11) + 1132 Simplify 3 + ((-5*(0 + sqrt(300)) - (-2*sqrt(300) + -4))**2 + (sqrt(300) + (sqrt(300) + 0)**2*2)*-4)*-6. -1893 + 1680*sqrt(3) Simplify ((2*sqrt(500) + 3 + sqrt(125))*-3)**2 - (4*5*(sqrt(320) - (sqrt(320) - (sqrt(320) + -2 - sqrt(320))))*-6)**2. -29394 + 1350*sqrt(5) Simplify sqrt(180) - sqrt(180)*-5 - sqrt(25)/sqrt(125) - (sqrt(45) + 2*(sqrt(180)/sqrt(4) + sqrt(45)))**2*-6. 179*sqrt(5)/5 + 6750 Simplify -3 + ((sqrt(1331) - (sqrt(1331) - -2*sqrt(1331))*-3 - sqrt(1331) - (-1 + sqrt(1331) + -5))*1 + -1)**2. 880*sqrt(11) + 85206 Simplify (4*sqrt(11) + -5 - sqrt(1331)*-6)**2 + (-1 + (-6*(sqrt(11)*4 - sqrt(11)))**2)*-5. -700*sqrt(11) + 36110 Simplify ((2 + sqrt(425) + 0 + -1 - (-5 + 3*sqrt(425)*3))*-6)**2. -17280*sqrt(17) + 980496 Simplify -4 + (sqrt(88) + 1*sqrt(88)*-5 + -1*(sqrt(88)*-1 - sqrt(88)))/(sqrt(8)*-6*1*6). -4 + sqrt(11)/18 Simplify -2*4*((sqrt(847) + -2)*-4 - (3 + sqrt(847))*-6)*-5. 1040 + 880*sqrt(7) Simplify (4 + 5*(sqrt(1053) + (sqrt(1053) + 3)*-5 + -2*sqrt(1053) + 3)*4)**2. 509760*sqrt(13) + 15218896 Simplify (3 + (3*sqrt(175) + sqrt(175) - sqrt(175)) + -3 + -1 - ((4 + (sqrt(175) - (sqrt(175) + 1)) - sqrt(175)) + -4)*-4)**2. 50*sqrt(7) + 200 Simplify ((2 + (-3*sqrt(2057)*-5 - (sqrt(2057) + (2 + sqrt(2057) + 3 - sqrt(2057)))))*-2 + 1)**2. -4312*sqrt(17) + 1612737 Simplify 1*(sqrt(200) - (sqrt(200) + 1*sqrt(200))**2 - sqrt(200))*-3 + 6*(-3*(4 + sqrt(2)) + 3). -18*sqrt(2) + 2346 Simplify ((sqrt(200) + 0)*3*-3*-1 + (-3*sqrt(2000) + sqrt(2000))/((sqrt(10) + sqrt(90))*-5))**2. 16562 Simplify (3*sqrt(1296)*-2)/(5*(sqrt(3) + sqrt(27)/sqrt(9))*1). -36*sqrt(3)/5 Simplify (((-3*(4 + (sqrt(200) - (sqrt(200) + -2)) + sqrt(200)) - (2 + 0 + sqrt(200) + -4)) + -5)*-1)**2. 1680*sqrt(2) + 3641 Simplify 6*(-1*sqrt(1377) + 4 + -1 + sqrt(1377) + -5 + (-2*sqrt(1377) + -3 + (sqrt(1377) - (-1 + 2 + sqrt(1377) + sqrt(1377))))**2). 1296*sqrt(17) + 74442 Simplify (-2*sqrt(140)*-2 - sqrt(140) - -6*(sqrt(140)*-2 - sqrt(140)))/((-1*sqrt(1210))/((sqrt(256) + sqrt(16))/sqrt(8) - sqrt(2))). 120*sqrt(7)/11 Simplify 5 + ((2 + sqrt(252))**2 + -4 - (sqrt(252) + 0 + -1)) + -5 + -1. 18*sqrt(7) + 252 Simplify ((1*(sqrt(84)*2 + sqrt(84)) - ((sqrt(84) - (2*sqrt(84) - sqrt(84))*-2) + sqrt(84)))/(1*sqrt(96)/sqrt(8)*6))**2. 7/36 Simplify ((sqrt(8208) - (sqrt(8208) + -2*2*sqrt(8208) + sqrt(8208)))*3)/((sqrt(126)/(sqrt(6)*-2))/(1*sqrt(175))). -1080*sqrt(19) Simplify ((-5*sqrt(170)*-1)/(-5*-1*sqrt(10)) + ((sqrt(102) + -2*sqrt(102))*4)/sqrt(1350))**2. 2057/225 Simplify 1*((sqrt(12)/sqrt(4) + 2 + sqrt(3))**2 - sqrt(3)) + 3 + -2*(sqrt(432) + (-1*sqrt(432) - sqrt(432)) + -5)**2. -895 - 233*sqrt(3) Simplify ((sqrt(156) + -3*sqrt(156)*-2)*-5)/(sqrt(27)/((sqrt(90)*1)/sqrt(10)))*-6. 420*sqrt(13) Simplify (((sqrt(405) + 1)*2 + -3 + -1*sqrt(405) + sqrt(405) + sqrt(405) - (sqrt(405) + (1 + sqrt(405))*-3 + sqrt(405) + -1 + -5)*-3)*2)**2. 3136 Simplify (sqrt(66) - (-3*3*sqrt(66) + sqrt(66)) - sqrt(66))/(-2*2*sqrt(6)) + 5*(sqrt(1100) + 0 + -1 + 0). -5 + 48*sqrt(11) Simplify -1 + ((sqrt(102) - -1*sqrt(102)*-3) + -1*((sqrt(102) + sqrt(102)*-1 - sqrt(102)) + sqrt(102)))/((sqrt(30)/(sqrt(30)/sqrt(6) + sqrt(5)) + sqrt(6))*-1). -1 + 4*sqrt(17)/3 Simplify (-4 + sqrt(180)/sqrt(9) + -5 + 1 + (sqrt(180)/(-1*sqrt(3)))/sqrt(12))**2 + 0. -16*sqrt(5) + 69 Simplify 6*((sqrt(6)/(sqrt(450)/sqrt(6) - sqrt(3) - sqrt(3))*-5 - ((sqrt(162) - (sqr
{ "pile_set_name": "DM Mathematics" }
(-8) and u/10 - (-2355)/(-1050). 112 Calculate the common denominator of 8/(-52) - (9/12 + (-163444)/185107) and -101/4. 1964 Let w be 0*(1 - (-8)/(-10)). Let q(h) = 14*h + 102. Calculate the smallest common multiple of q(w) and 33. 1122 Let c = -142860 + 55429725/388. Calculate the common denominator of c and 3/8. 776 Suppose 3*u = 2*u + 6. Calculate the lowest common multiple of (-151)/(-17) + (-28 - 21988/(-782)) and (-2)/4 + 93/u. 45 Let i = 56 - 36. Let f(w) = -w**2 - 7*w - 12 + 17*w + 10. Calculate the least common multiple of i and f(2). 140 Let n(u) = 8*u**2 - 18*u - 10. Let s be (-7)/(196/148) + (-4)/(-14). Let v be n(s). Calculate the common denominator of 1455/(-18)*(-8)/v and 53/14. 42 What is the lowest common multiple of 6 and (15*597)/(381/254)? 5970 Let l(y) = 15*y**2 + 612*y - 4200. Calculate the smallest common multiple of l(7) and 3. 819 Calculate the common denominator of (-39)/(-91)*(-45)/153 and 67/9. 1071 Suppose 3278 = 3*m + 5*o, 4*m - 4*o + 1119 = 5479. Suppose 3*y = -18188 + m. Let z = y + 34319/6. Calculate the common denominator of z and -19/36. 36 Let m = 27 - 15. Let r(l) = 4*l**2 + 4*l - 4. Let b be r(-4). Suppose 0 = -3*k + b - 2. Calculate the lowest common multiple of k and m. 84 Suppose 2*a - 2*x - 32 = -0*a, 0 = 5*a - 2*x - 71. Find the common denominator of a/78 + (-73)/(-3) and -95/12. 12 Suppose -8*z = 7*z + 720. What is the common denominator of 64/33 and (548/z*-4)/(-12)? 396 What is the smallest common multiple of -27 + 28 + (-206)/(-12) + (-3)/18 and 136? 1224 Let w = 21865/34524 - 350/411. Find the common denominator of 13/588 and w. 1764 Let x = 53125/12 + -4433. Find the common denominator of (465/(-1550))/(4/(-5)) and x. 24 Let f be (2*1)/(3/6). Suppose 195 = u + f*u. Calculate the smallest common multiple of 458/(-5954) + 313/13 and u. 312 Let t be 21/(1 + (-25)/10). Find the common denominator of -10/11 and 2 + 11 + t + (-31)/(-15). 165 Let f = -13 - -27. Let k(i) be the first derivative of i**4/4 - 9*i**3 + 27*i**2/2 - 12*i + 110. What is the lowest common multiple of k(26) and f? 14 Let k = -47243/156 - -3605/12. Let c(i) = -i - 3. Let d be c(-1). What is the common denominator of k and -137*1/24*d? 156 Let v = -173255/354 - 265/118. Let x = v + 10454/21. Suppose 5*t - 122 = 23. What is the common denominator of t and x? 7 Let v be 7204/18 - (-2)/(-9). Suppose -32*j = -7*j - v. Calculate the least common multiple of 88 and j. 176 Suppose -60*h - 44*h = -18*h - 430. Calculate the lowest common multiple of h and 1485. 1485 Let d = 2891 + -4120. Let w = d - -19569/16. What is the common denominator of w and -51/20? 80 Let f = 4899 - 29243/6. Calculate the common denominator of (-10)/(-24)*(49 - -1) and f. 6 Let y = -1680949/46 + 36544. Let f = -130 - -334/3. What is the common denominator of f and y? 138 Let d = 782 - 420. Let n = -1483/4 + d. Find the common denominator of n and (-10)/(-35) + (-26)/(-252). 36 Suppose 6*u = 27*u - 12390. What is the common denominator of (-646)/252 - 2/(-7) and u/756 + (-12)/28? 54 Let m(a) = 14522*a**2 - 4*a. Let w be m(-1). Let x = -1176547/81 + w. What is the common denominator of x and -31/6? 162 Let z(w) be the first derivative of -w**4/4 + 2*w**3 + 21*w**2/2 - 28*w - 147. Calculate the smallest common multiple of z(8) and 33. 132 Calculate the least common multiple of 16 and ((-2352)/(-18) - -8)/(1/12). 1664 What is the common denominator of 73/152 and (1/24)/((-7868)/166914)? 2128 What is the common denominator of 67/12 and 6/(-39)*7208/1908? 468 Let t(w) = -w**2 - 13*w + 8. Let i be t(-8). Let c = 206 - 250. Let y = c + i. Calculate the least common multiple of y and 88. 88 Let d = 11163 + -122751/11. Find the common denominator of d and 3/((-27)/34) - -1. 99 Let i = 1839359 + -10705069247/5820. Calculate the common denominator of i and 85/6. 5820 Let w be 90/(-60) + (-2 - (-99)/2). Let z be 9*-2*2/(-12). Suppose -5*v + 65 = -d, -4*d = -z*v - 2*d + w. Calculate the lowest common multiple of v and 30. 60 Let j be 3928720/1800 + (-4)/18. Let u = j - 2175. Calculate the common denominator of u and 7/6. 30 Suppose w + 2*u - 5 = 34, 0 = -5*w - 5*u + 220. Suppose -5*q + 0*j - w = j, 2*j = -2*q - 18. Find the common denominator of 61/8 and 20/q - 374/(-48). 24 Let o(u) = 3*u**2 - 120*u + 804. Calculate the least common multiple of o(7) and 629. 1887 Let m = -191 + 78. Let p = m + 155. Calculate the lowest common multiple of 54 and p. 378 Suppose 61*t + 105*t - 10*t = 55692. What is the lowest common multiple of t and 1190? 3570 Let g = 17243/19446 + -8/1389. Find the common denominator of g and 17/966. 966 Suppose -39*p + 79098 = -39462. Find the common denominator of -99/50 and 15827/p - (4 + 1). 800 Let s(u) = -u**3 + 5*u**2 + 153*u - 29. Calculate the smallest common multiple of 1036 and s(15). 4144 Let u = 112639/36 + -45010/9. Let v = 1855 + u. What is the common denominator of v and 3/20*15/(-14)? 56 Let s = -8038 - -530611/66. Let b = -5833/330 + 53/3. What is the common denominator of s and b? 330 Let j(o) = -3*o**2 - 27*o + 4. Let g = 88 + -97. Let z be j(g). Calculate the least common multiple of 15/10 + 22/z and 10. 70 Let h(g) = g**3 + 20*g**2 - 3*g - 26. Let u be h(-20). Suppose -2*s + u = 98. Find the common denominator of s/80 - 814/40 and -71/2. 4 Suppose -58*c + 56*c + 510 = 100*c. Suppose -2*i = -3*g - 144, -4*i + 144 = -2*i + 2*g. What is the smallest common multiple of i and c? 360 Let a = 1490 + -1295. Calculate the least common multiple of 30 and a. 390 Suppose 32 - 6 = -2*k - 4*u, 2*k + 16 = -2*u. Find the common denominator of -43/9 and (-472)/96 - 2*k/2. 36 Let o = -21949/40 - -548. What is the common denominator of o and (-15)/(10 + (-42)/7)? 40 Let j = -5376221/19470 + 6075/22. What is the common denominator of j and 163/30? 1770 Let g = -18 - -34. Let q(v) = 32*v + 306. Calculate the lowest common multiple of q(-9) and g. 144 Calculate the common denominator of -43/272 and (-180)/14144*550/125. 3536 Let s = 54 - 43. Suppose 1 = 2*p + 3. What is the lowest common multiple of p/(-4) - s/(-4) and 10? 30 Let z = 27/2 - 48. Suppose -2*h + 99 = h + 3*d, -9 = -3*d. What is the common denominator of h/(-12)*(-59)/175 and z? 70 Let s(i) = i**3 + 3*i**2 - 7*i - 4. Let c be s(-4). What is the least common multiple of 5019/28 + 1 + (-2)/c and 60? 180 What is the smallest common multiple of -4 + (-2*3)/((20/(-8))/5) and 946? 3784 Let k(u) = 654*u + 1122. Calculate the lowest common multiple of k(5) and 6. 4392 Let k(x) = -x**3 - 6*x**2 + 5*x. Let v(d) = -6*d - 26. Let h be (18/4)/9*-12. What is the least common multiple of v(h) and k(-7)? 70 Let j = 0 + 3. Suppose -6*x = -2*x - 5*p - 27, -j*x = -4*p - 21. Calculate the smallest common multiple of 16 and x/20*5 + (-109)/(-4). 112 Suppose 49 = 110*i - 103*i. Suppose 8*s - 15 = -i*s. Calculate the least common multiple of 20 and s. 20 Let f = -49/3 - -95/3. Calculate the common denominator of 65/51 and f. 51 Let u(c) = -2*c**3 - 27*c**2 + 57*c - 114. Calculate the smallest common multiple of 70 and u(-16). 8890 Suppose -291*y = -292*y + 150. Find the common denominator of 103/40 and (-15)/10*(-118)/y. 200 Let k = 2955 + -898. What is the common denominator of 87/2 and -2 - 15/(-12) - k/44? 2 Suppose -327726 = -84*c + 453138. Calculate the smallest common multiple of 20 and c. 46480 Calculate the lowest common multiple of 378 and 135/(-10)*(-728)/26. 378 Let h = -14 + -87. Let x = 101 + h. Suppose x = 4*q - m + 5*m - 4, -3*m = 5*q - 15. What is the smallest common multiple of q and 54? 54 What is the smallest common multiple of 189 and 483/63 + 2/(-3)? 189 Calculate the common denominator of (-558)/180 + (4 + (-102)/10 - -5) and -61/2860. 2860 Suppose -5*g - r + 5613 = 0, 59*g - r = 56*g + 3363. Calculate the least common multiple of g and 12. 2244 Let y = 479193 + -240554805/502. Calculate the common denominator of y and 22. 502 Let z(b) = b**3 - 4*b**2 - 19*b + 73. Let f be z(5). Suppose 9*p = -f*v + 11*p + 36, 3*v - 3*p - 33 = 0. What is the lowest common multiple of 14 and v? 14 Let b be -2 - -3 - 894251/21. Let n = b + 11654681/273. Let l = n - 736/7. Find the common denominator of l and -30/11. 143 Let n(j) = 26*j - 6*j - 10*j - 9*j + 7. Let d be n(-4). Suppose d*z - 3*q + 18 = 4*z, -2*q =
{ "pile_set_name": "DM Mathematics" }
nominator of 91/20 and 59/80? 80 What is the least common multiple of 90 and 25? 450 Calculate the lowest common multiple of 350 and 20. 700 Calculate the common denominator of 47/1020 and 137/612. 3060 Find the common denominator of 9/35 and 1/1500. 10500 Calculate the common denominator of -109/18 and -91/184. 1656 Calculate the smallest common multiple of 9 and 315. 315 Calculate the least common multiple of 18 and 204. 612 Calculate the lowest common multiple of 182 and 2. 182 Calculate the lowest common multiple of 256 and 80. 1280 Calculate the common denominator of -67/7098 and 40/141. 333606 What is the smallest common multiple of 204 and 238? 1428 What is the common denominator of 37/170 and 9/35? 1190 What is the lowest common multiple of 88 and 352? 352 Calculate the common denominator of 61/210 and 109/42. 210 Find the common denominator of -3/8 and -91/18. 72 What is the smallest common multiple of 2590 and 1554? 7770 Calculate the lowest common multiple of 2028 and 11. 22308 Calculate the least common multiple of 186 and 16. 1488 Calculate the least common multiple of 336 and 336. 336 Find the common denominator of -107/52 and -51/10. 260 What is the common denominator of -69/52 and 1/8? 104 What is the smallest common multiple of 357 and 102? 714 Find the common denominator of -97/24 and -23/2943. 23544 Calculate the smallest common multiple of 13 and 1. 13 What is the least common multiple of 452 and 226? 452 Find the common denominator of 113/96 and 13/2. 96 Find the common denominator of 79/54 and -83/378. 378 Calculate the smallest common multiple of 70 and 196. 980 What is the smallest common multiple of 119 and 7? 119 What is the least common multiple of 2262 and 6786? 6786 Calculate the common denominator of -11/351 and 77/351. 351 Calculate the common denominator of -35/114 and -31/2628. 49932 What is the common denominator of 113/114 and 13/96? 1824 What is the least common multiple of 16 and 34? 272 What is the least common multiple of 12 and 136? 408 What is the common denominator of 37/44 and 37/84? 924 Calculate the common denominator of 67/4074 and -73/6. 4074 What is the common denominator of 85/212 and 43/40? 2120 Calculate the lowest common multiple of 3864 and 112. 7728 Calculate the smallest common multiple of 22 and 984. 10824 What is the least common multiple of 319 and 4060? 44660 Calculate the lowest common multiple of 8998 and 220. 89980 What is the common denominator of -32/109 and 35/9? 981 Calculate the least common multiple of 498 and 747. 1494 Calculate the lowest common multiple of 65 and 255. 3315 What is the common denominator of -59/1160 and -61/1856? 9280 What is the common denominator of -11/135 and -53/135? 135 What is the common denominator of 53/480 and -35/128? 1920 What is the smallest common multiple of 2690 and 50? 13450 What is the lowest common multiple of 588 and 12? 588 Calculate the common denominator of 61/45 and 49/324. 1620 Calculate the least common multiple of 114 and 76. 228 Calculate the lowest common multiple of 8098 and 2. 8098 What is the common denominator of 23/11 and -50/29? 319 Calculate the common denominator of -39/46 and 73/22. 506 Calculate the common denominator of -103/52 and -61/56. 728 Calculate the common denominator of 37/15 and 2/14555. 43665 What is the smallest common multiple of 479 and 10? 4790 Find the common denominator of 107/1254 and -97/6. 1254 Calculate the smallest common multiple of 20 and 12. 60 What is the common denominator of 47/100 and -4/25? 100 Calculate the smallest common multiple of 4565 and 4565. 4565 Calculate the least common multiple of 219 and 24. 1752 What is the least common multiple of 9045 and 24? 72360 What is the common denominator of 77/12 and -31/105? 420 Calculate the common denominator of 77/4 and -31/15. 60 Find the common denominator of 55/48 and 119/228. 912 What is the smallest common multiple of 3567 and 1189? 3567 What is the common denominator of -5/734 and -11/18? 6606 Calculate the common denominator of -151/6 and 4/3135. 6270 What is the smallest common multiple of 195 and 45? 585 Calculate the smallest common multiple of 36 and 3. 36 Calculate the common denominator of 111/10 and -37/3407. 34070 Calculate the common denominator of -53/96 and -89/36. 288 Find the common denominator of -29/45 and -13/1255. 11295 Calculate the least common multiple of 252 and 18. 252 Calculate the common denominator of -5/174 and -14/27. 1566 Find the common denominator of 63/16 and -33/34. 272 What is the common denominator of 47/54 and -61/66? 594 Calculate the smallest common multiple of 2870 and 280. 11480 Calculate the least common multiple of 12 and 4. 12 What is the lowest common multiple of 158 and 6? 474 What is the common denominator of -45/20204 and -67/6? 60612 What is the lowest common multiple of 18 and 4778? 43002 What is the least common multiple of 2100 and 11970? 119700 Calculate the least common multiple of 30 and 460. 1380 Find the common denominator of 49/594 and 43/29. 17226 Find the common denominator of 47/3368 and 45/3368. 3368 What is the lowest common multiple of 2114 and 84? 12684 Find the common denominator of -11/85 and 38/119. 595 What is the least common multiple of 7 and 5827? 40789 What is the least common multiple of 1244 and 8? 2488 Calculate the least common multiple of 804 and 201. 804 Find the common denominator of -133/6 and 50/167. 1002 Calculate the common denominator of 21/104 and 13/82. 4264 Calculate the common denominator of 23/168 and -55/24. 168 What is the common denominator of 115/84 and -143/48? 336 What is the smallest common multiple of 168 and 189? 1512 What is the common denominator of 107/180 and 27/160? 1440 Calculate the lowest common multiple of 63 and 153. 1071 Calculate the common denominator of -39/136 and -101/1870. 7480 Calculate the common denominator of -53/44 and 97/144. 1584 Find the common denominator of -58/4215 and -43/12. 16860 Calculate the least common multiple of 2700 and 2700. 2700 Calculate the common denominator of -23/28 and -59/175. 700 What is the lowest common multiple of 63 and 9? 63 What is the smallest common multiple of 566 and 22? 6226 Calculate the least common multiple of 520 and 520. 520 What is the least common multiple of 18 and 240? 720 Calculate the least common multiple of 12 and 662. 3972 Calculate the smallest common multiple of 352 and 1. 352 What is the lowest common multiple of 1215 and 3600? 97200 Calculate the lowest common multiple of 632 and 40. 3160 What is the common denominator of 29/42 and 173/540? 3780 Find the common denominator of -11/60 and 11/95. 1140 What is the smallest common multiple of 103 and 1442? 1442 What is the least common multiple of 2472 and 18? 7416 Find the common denominator of -125/18 and -27/232. 2088 What is the common denominator of -161/3894 and -85/2478? 27258 Find the common denominator of 89/224 and -57/196. 1568 Calculate the least common multiple of 18 and 3432. 10296 Calculate the least common multiple of 77 and 77. 77 Calculate the common denominator of -43/712 and 5/89. 712 Calculate the common denominator of 55/9 and 41/32. 288 What is the common denominator of 125/12 and -29/50? 300 Calculate the smallest common multiple of 102 and 153. 306 Calculate the lowest common multiple of 3 and 81. 81 Find the common denominator of 19/3613 and 13/7. 25291 Find the common denominator of 49/716 and 46/5. 3580 Find the common denominator of 7/4 and -25/6. 12 Find the common denominator of -149/240 and -89/112. 1680 What is the least common multiple of 1404 and 117? 1404 What is the least common multiple of 5478 and 88? 21912 Calculate the common denominator of -44/699 and -181/30. 6990 Find the common denominator of 11/119 and 36/7. 119 Calculate the smallest common multiple of 196 and 2058. 4116 Calculate the lowest common multiple of 24 and 147. 1176 What is the smallest common multiple of 28 and 84? 84 Find the common denominator of 31/2020 and 3/2222. 22220 Find the common denominator of -11/27 and 22/51. 459 What is the smallest common multiple of 20 and 4? 20 What is the lowest common multiple of 44 and 20? 220 Calculate the lowest common multiple of 4 and 88. 88 Calculate the common denomi
{ "pile_set_name": "DM Mathematics" }
2. Let s = m + -6. Calculate the common denominator of -145/6 and 20/50 + 22/s. 30 Let q = 8367 + -2068. Let a = q - 125937/20. What is the common denominator of -59/138 and a? 1380 Suppose 20 = -0*o - 4*o - 4*g, -3*o = -5*g + 23. What is the common denominator of -79/18 and (-26)/(-32) - o*(-5)/10? 144 Calculate the lowest common multiple of (2/(-7 + 1))/(2/(-48)) and 72. 72 Let h = 1576/9 - 7141/36. Calculate the common denominator of h and -2/81. 324 Suppose -4*k = 5*l - 15, -5*l - 2*k - 9 = -24. What is the lowest common multiple of l and 99? 99 Suppose 5*v + 3*b = 35, b + 1 - 2 = v. Suppose v*u + 9 = 5*z + 21, 5*z = -4*u + 52. Calculate the lowest common multiple of 6 and u. 24 Let s = -3158195/68 + 46445. Calculate the common denominator of -13*6/(-144)*-22 and s. 204 Suppose -113 + 23 = -5*o. Calculate the smallest common multiple of 14 and (-88)/(-6) + (-12)/o. 14 Let t be (-3)/(15/(-125)) + (-6)/(-2). Suppose 4*a = -2*c + t, 0*c - 3*c + 44 = 5*a. Calculate the least common multiple of c and 6. 18 Let k = 115 + -109. Calculate the lowest common multiple of 34 and k. 102 Let o(k) = -k**2 + 2*k + 4. Let t be o(0). Suppose -5*n + 19 = 4*j + t, 4*n - 53 = 5*j. Suppose 4*m - 31 = -n. Calculate the lowest common multiple of 8 and m. 24 Let g be 6/5*(-100)/(-30). Let y be 11/g + 12/(-16). Suppose n - 4*i = 32 - 8, 30 = 2*n - y*i. Calculate the lowest common multiple of n and 34. 204 Let y = -1 - -30. Let o = -290 - -340. Let b = y - o. Find the common denominator of 63/4 and b. 4 Let k(u) = -u**2 + 5*u + 1. Let p be k(4). Suppose -3*g = -p - 10. Suppose -b + 11 = i, -b + g + 9 = 4*i. What is the least common multiple of 2 and b? 10 Let c = 3 + 17. Calculate the smallest common multiple of c and 40. 40 Calculate the common denominator of 143/5577*318/(-32) and 89/78. 624 What is the common denominator of (20/(-44)*-14)/(-6) and 67/72? 792 Let q = 39/223 - 16184/2007. Calculate the common denominator of q and 47/17. 153 Let z = 49 + -45. Suppose 0*v + 2*v = -5*i + 24, -z*v = 12. Calculate the smallest common multiple of (3/9)/((-1)/(-3)) and i. 6 Let v = 1317/88 - 57/22. What is the common denominator of v and ((-2)/(-36))/(4/(-202))? 72 Suppose -11 = c - 14. Calculate the least common multiple of 42 and c. 42 Let c(j) be the third derivative of -j**5/30 - 5*j**4/24 + 7*j**3/6 - 2*j**2. Let d be c(10). Calculate the common denominator of 4 - d/(-12) - 0 and -91/16. 16 Let l(s) = s - 2. Let b be l(9). Suppose -5*t - 4*w = -608, -4*t + 511 = -b*w + 2*w. Calculate the least common multiple of 6 and t. 372 Find the common denominator of 76/33 and ((-18)/(-3132))/(1/76). 957 Let t = 19 + -3. Suppose -2*p + 4*l + 6 = -t, l + 2 = 0. Calculate the lowest common multiple of 4 and p. 28 Let r = -1387 + 6969/5. Calculate the common denominator of 4/(-108)*-3*-55 and r. 45 Calculate the common denominator of 7/5 + 10602/(-1980) and -48/55. 110 Let b = 9751 - 146353/15. Let z = 1/295 + 389/118. Find the common denominator of z and b. 30 Let f = -56587/10836 + 510/301. What is the common denominator of 11/104 and f? 936 Suppose 5*y - 3*i = 111, -111*y + 107*y = -2*i - 90. Let g = -25 - -37. What is the smallest common multiple of y and g? 24 Suppose -101*y - 324 = -110*y. What is the lowest common multiple of 6 and y? 36 Let h(w) = -w + 1. Let v(p) = 12*p - 7. Let q(d) = -22*h(d) - 2*v(d). Let r be q(-8). What is the least common multiple of (r/(-10))/(4/(-20)) and 22? 44 Let h = -188 + 191. What is the smallest common multiple of 4 and h? 12 Let q = -9/74 + -2253/185. Let a = 8581 - 51631/6. Find the common denominator of a and q. 30 Let f = 48 - 46. Suppose -4*m + 39 = 5*l, f*m - l - 63 = -26. Calculate the least common multiple of 10 and m. 80 Calculate the common denominator of (-102)/18*(-18)/(-128) and 3/2. 64 Let g(z) = -2*z**2 - 26*z - 37. Calculate the lowest common multiple of g(-11) and 2. 14 Let s = -790 - -823. What is the least common multiple of s and 72? 792 Let l = 22018 - 616417/28. Find the common denominator of -40/21 and l. 84 Let d(y) = y**3 - 2*y**2 + 8*y - 7. What is the least common multiple of 10 and d(2)? 90 Let w = -55 - -107. Let i = -40 + w. Calculate the least common multiple of i and 74. 444 Let q = 104/107 + -12667/2354. Suppose -2*y = 3*u + 38, -3*u = -4*y + 20 - 6. What is the common denominator of q and (2/u)/((-8)/(-364))? 110 Suppose -o - 6 = -0*o - 3*w, -3*o - 2*w + 37 = 0. What is the least common multiple of 10 and o? 90 Let f(v) = -3*v**2 + 17*v. Let l be f(7). Calculate the smallest common multiple of (4 + 30/(-8))/((-1)/l) and 4. 28 Let n be 2 + (-15740)/16 + 2. Let y = n - -973. What is the common denominator of y and 0 - 0 - (-104)/72? 36 Calculate the common denominator of 3/(-27) + (2 - 1) and (7/(-420)*-5)/((-10)/(-536)). 45 Let g = 13 + -27. What is the common denominator of 123/10 and ((-5)/60 - 0)*284/g? 210 Suppose -5*z + 169 = 19. What is the common denominator of -32/7 and (-1)/(-2) + (z/28)/1? 7 Let k(o) = 13*o + 27. Let n be k(-5). Find the common denominator of n/8*15/54*-3 and 43/21. 168 Let n = 4 - -1. Suppose 0 = -n*s - 3*o - 17, -4*s = 6*o - 3*o + 13. What is the common denominator of 79/10 and (570/(-16))/(33/s)? 110 Let z = 5645/36 - 157. Calculate the common denominator of -9/8 and z. 72 Suppose 3*u + g - 93 = 0, -3*g = -1478*u + 1475*u + 81. Calculate the least common multiple of u and (-2)/7 + (-128)/(-7). 90 Suppose 12*q - 2*q = 5*y + 75, 0 = q - 2*y - 3. What is the least common multiple of 5 and q? 45 Suppose 0 = 1297*x - 1296*x - 6. Let a(b) = -3*b**3 - 2*b**2 - 2*b - 1. Let l be a(-1). Suppose -l*z + 10 = 2. What is the smallest common multiple of x and z? 12 Let y(l) = -7 + 3*l**2 - 12*l**2 + 10*l**2. Calculate the smallest common multiple of y(-3) and (1 + 1)/2*22. 22 What is the least common multiple of ((-7120)/12)/(-10) + (-6)/(-9) and 36? 180 Let k(n) = n**3 - 7*n**2 - 6*n - 11. Let c be k(8). Let f be c*12*6/(-20). Find the common denominator of 53/8 and -3 - (-165)/f - 0. 24 Let o = 96/5 - 823/40. What is the common denominator of o and -3 - (-4)/((-64)/712)? 8 Let m = 1/1640 + 8149/83640. What is the common denominator of 8/3 and m? 51 What is the lowest common multiple of 25 and (0 - 1)*(-10 - 13 - 2)? 25 Suppose 42 = -q - 6*q. Let w = q + 11. What is the lowest common multiple of 1 and w? 5 Let y be (6 - 5 - -3) + -155. Let t = -129 - y. Calculate the smallest common multiple of t and 4. 44 Let m = 813 - 618. What is the least common multiple of m and 75? 975 Let i(u) be the first derivative of u**2/2 - u + 20. Calculate the lowest common multiple of i(2) and 3. 3 Find the common denominator of (-74)/(-200)*(-35)/(-14) and -42/95. 760 Suppose 0 = y - 4*y, -2*t + 3*y + 8 = 0. Suppose -34 = -3*n + t*x, 5*n + 10 - 61 = x. What is the smallest common multiple of n and 4? 20 Let f(z) = 15*z**3 + 2*z - 1. Let b = -1069/100 + -3/50. Find the common denominator of b and f(1). 4 Suppose 2*u + s = -3 + 42, -5*u + 4*s = -104. Let z = 10273/32976 + 2/2061. Find the common denominator of z and 1 + (-2 - 94/u). 80 Suppose 29*d + 182 = 1806. What is the lowest common multiple of d and 14? 56 Suppose 2*i + 75 = 3*w, 3*i = -2*i - w - 213. Calculate the common denominator of 1*(-303)/i + -2 and (-3 + 2)*(-7)/18. 126 Calculate the common denominator of 2*65/(-26) - 3518/(-728) and -56/9. 3276 Suppose 0 = -216*q + 212*q + 56. Calculate the least common multiple of q and 196. 196 Let t = 41 + -5. Let b(c) = -2*c + 5. Let a(s) = s - 1. Let v(n) = -a(n) - b(n). What is the smallest common multiple of t and v(12)? 72 Suppose 1105 = 5*v + 5*c, 9*c - 3 = 6*c. What is the least common multiple of v and 495? 1980 Let w = -7465837/205 + 36419. Calculate the common denominator of w and 26/5. 205 Let v(g) = g**3 - 12*g**2 + 10*g + 5. Let b be v(11). Let r(x) = x**3 + 8*x**2 + 8*x - 4. Let j = 61 - 39. Calculate the smallest common multiple of r(b) and j. 220 Let b(w) = 5*w**2 - 17*w + 56. What is the least common multiple of 4 and b(6)? 268 Let z(g) = -7*g - 12. Let x = -48 - -68. What is the least common multiple of x and z(-2)? 20 Let k(i) = 2*i**2 + 2*i**3 - 10*i**3 - 3*i**2. What is the lowest common multiple of 6/(-1)*2*132/(-176) and k(-1)? 63 Let t(h) be the first derivative of h**4/4 + 19*h**3/
{ "pile_set_name": "DM Mathematics" }
-20*u**2. Calculate k(r(i)). -80*i**2 Let d(h) = -26*h. Let x(l) = -2*l. Determine x(d(y)). 52*y Let u(w) = 2*w**2. Let f be ((-12)/(-3) - 2)/1 - 2. Let d(c) be the second derivative of -1/6*c**3 + f + 0*c**2 - c. Give u(d(z)). 2*z**2 Let g(n) = -40*n**2 - 43*n**2 + 82*n**2. Let b(v) = -2*v. What is g(b(r))? -4*r**2 Let n(m) be the third derivative of -m**5/30 + 15*m**2. Let l(d) = -d + 4 + 3 - 5. Let s(v) = -3*v + 5. Let c(p) = 10*l(p) - 4*s(p). Calculate c(n(z)). -4*z**2 Suppose 2*u - 7 = 3. Suppose s + 4*m - m + 3 = 0, -u*s = -3*m - 21. Let b(g) = -5*g + s*g + g. Let y(c) = c. Give b(y(j)). -j Let t(u) = 3*u**2. Let h(z) = 3*z**2 + 1. What is t(h(b))? 27*b**4 + 18*b**2 + 3 Let h(r) = 2*r. Let j(v) = 5*v**2 - 1984*v. What is j(h(w))? 20*w**2 - 3968*w Let n(j) = 133 - 3*j - 133. Let l(i) be the first derivative of -i**5/120 - i**3/3 - 1. Let s(o) be the third derivative of l(o). Calculate s(n(a)). 3*a Let p(c) = -7*c - 2*c - c + 7*c. Let f(x) = 3*x**2. Calculate p(f(t)). -9*t**2 Let o(q) = 18*q**2 + 4. Let w(g) = -35*g**2 - 7. Let s(i) = 7*o(i) + 4*w(i). Let v(u) = -u - u + u + 0. Determine v(s(f)). 14*f**2 Let k(q) = 254*q. Let t(c) = -18*c. Give t(k(y)). -4572*y Let q(r) = -21*r. Let z(y) = 434*y - y**2 - 434*y. Determine q(z(v)). 21*v**2 Let n(s) = s**2 - 6*s**2 + 2*s**2. Let q(j) be the second derivative of j**4/6 + 3*j. What is n(q(c))? -12*c**4 Let n(i) = 5*i**2. Let q(d) be the third derivative of d**5/30 + d**2. Determine q(n(z)). 50*z**4 Let s(p) be the third derivative of p**5/30 - 38*p**2. Let i(w) = -w. Give i(s(b)). -2*b**2 Let y(n) = 127 - 63 - 64 + n**2. Let l(p) = 8*p. Determine l(y(m)). 8*m**2 Let u(h) = h**2 - 1. Let z(o) = 8*o**2 - 4. Let m(k) = -4*u(k) + z(k). Let q(l) = 136*l**2 - 68*l**2 - 70*l**2. Calculate m(q(d)). 16*d**4 Let p(y) = 105*y**2 - 25*y + 25. Let u(w) = -13*w**2 + 0*w**2 - 2 - 5 + 4 + 3*w. Let n(g) = -3*p(g) - 25*u(g). Let i(j) = j. Calculate n(i(l)). 10*l**2 Let z(p) be the first derivative of 5*p**3/3 + 10. Let o(l) = l**2. Determine z(o(r)). 5*r**4 Let m(n) be the third derivative of n**6/360 - n**3/2 - n**2. Let c(t) be the first derivative of m(t). Let d(o) = -2*o**2. Determine c(d(y)). 4*y**4 Let o(r) be the first derivative of -r**2 + 1. Let x = 2 + -2. Let n(p) = p + 0*p + x*p. Calculate n(o(y)). -2*y Let u(g) = -9*g**2. Let p(x) = -22*x**2. Determine u(p(d)). -4356*d**4 Let h(x) = -19*x**2. Let o(w) = 22*w. Determine h(o(n)). -9196*n**2 Let d(z) be the first derivative of 11*z**2/2 - 1. Let s(c) = 2*c. Determine d(s(j)). 22*j Let p(z) = -32*z. Let l(k) = -k**2 + 44. Calculate l(p(x)). -1024*x**2 + 44 Let q(n) be the third derivative of n**6/360 + n**3/6 + n**2. Let b(s) be the first derivative of q(s). Let t(c) = c**2. What is b(t(a))? a**4 Let s(w) = -2*w. Suppose 5*m - 28 + 8 = -5*z, -5*z = -3*m - 4. Let n(p) = -p + p**2 - p + z*p. Determine n(s(q)). 4*q**2 Let i(s) = 6*s. Let v(t) be the third derivative of 0 + 0*t**3 + 0*t + 1/24*t**4 - 2*t**2. Calculate v(i(a)). 6*a Let x(d) = 15*d**2. Let t(m) = -1183*m**2. Give t(x(g)). -266175*g**4 Let g(s) = 28*s - 7. Let i(y) = -2*y**2. What is i(g(c))? -1568*c**2 + 784*c - 98 Let s(y) = -3*y**2. Let a be 1/(-2) - (-84)/24. Let z(l) be the third derivative of 0*l - 1/12*l**4 + 0 + 0*l**a - 2*l**2. What is z(s(r))? 6*r**2 Let s(d) = 3*d. Let y = 451/1860 - 7/31. Let c(z) be the third derivative of 0 - y*z**5 + 0*z + 0*z**4 + 0*z**3 + 2*z**2. Give s(c(v)). -3*v**2 Let a(h) = -6106*h - 172. Let o(y) = -177*y - 5. Let t(i) = 5*a(i) - 172*o(i). Let n(d) = d**2. Determine n(t(k)). 7396*k**2 Let q(i) = 43*i. Let m(h) = -4*h**2. Calculate m(q(l)). -7396*l**2 Let t(i) = -5*i. Let x(v) = 5 - 3*v - 13 + 8. Give t(x(a)). 15*a Let m(u) = u. Let d(o) = -o - 757. Determine m(d(h)). -h - 757 Suppose 0*c = 2*c + 6. Let m(j) = 5*j**2 + 3. Let p(l) = 11*l**2 + 7. Let f(r) = c*p(r) + 7*m(r). Let a(b) = 2*b. Determine a(f(y)). 4*y**2 Let c(m) = -m**2 + 84*m - 84*m. Let w(p) = 9*p**2 + 5*p - 5. Let f(g) = -10*g**2 - 6*g + 6. Let b(z) = -5*f(z) - 6*w(z). Calculate c(b(o)). -16*o**4 Let p(u) = -3*u**2. Let k(h) be the second derivative of h**3/3 - 7*h. Calculate p(k(c)). -12*c**2 Let s(f) = -2*f**2. Let r(u) be the first derivative of -1/3*u**3 + 0*u**2 + 0*u - 3. Give r(s(w)). -4*w**4 Let b(s) = 6*s + 11. Let h(c) = 2*c + 4. Let g(n) = n**3 + 6*n**2 + 2*n + 8. Let z be g(-6). Let a(y) = z*b(y) + 11*h(y). Let u(p) = 4*p. Determine a(u(q)). -8*q Let z(c) = 2*c. Let g(h) = 4*h - 2. Let y(n) = 5*n - 3. Let o(u) = -3*g(u) + 2*y(u). Calculate z(o(b)). -4*b Let c(n) = 8*n**2 + 14. Let a(y) = 3*y**2 + 5. Let s(f) = 14*a(f) - 5*c(f). Let u(v) = -11*v. Calculate s(u(x)). 242*x**2 Let j(s) = -1 + 1 + 2*s**2. Let i be 46/11 - (-6)/(-33). Let b(w) = 4 + 3*w - i. What is j(b(c))? 18*c**2 Let y(c) = -2*c**2 + 4 - 4. Let f(n) = 2*n**2 + 2. Let t(l) = -1. Let w(z) = -f(z) - 2*t(z). Calculate w(y(o)). -8*o**4 Suppose 0*y + 4*y - 8 = 0. Suppose -o = l - 1 - y, -o + 4*l = 2. Let a(q) = -3*q**o - 2*q**2 + 4*q**2. Let h(z) = 2*z. Determine h(a(r)). -2*r**2 Let d(r) be the second derivative of r**4/12 + r. Let x(w) = -5*w - 12*w - 11*w + 24*w. Determine d(x(q)). 16*q**2 Let b(p) = 2*p**2. Suppose 3*v = 6*v - 6. Let t(g) = 3*g**v - g**2 - 5*g**2. Give b(t(c)). 18*c**4 Let p(g) be the third derivative of g**5/10 - g**2. Let f(m) = m. Calculate f(p(x)). 6*x**2 Let h(c) = -c**2. Let u(m) = 7*m**2 + 3*m - 3. Suppose 3*x = -12, x + 3*x + 19 = z. Let i(q) = q**2 + q - 1. Let n(s) = z*i(s) - u(s). Give h(n(j)). -16*j**4 Let i(z) be the first derivative of -7*z**2/2 - 6. Let u(j) = -2*j. Determine i(u(q)). 14*q Let k(g) = 2. Let r(m) = -2. Let i(y) = 2*k(y) + 3*r(y). Let d(c) = -c - 1. Let w(h) = 2*d(h) - i(h). Let q(u) = -u - 3*u + u. Calculate q(w(j)). 6*j Let w(n) = n**2. Let k(b) = -b + 7*b - 7*b. Give w(k(p)). p**2 Let l(o) = 4*o. Let t(w) = 5994*w. What is l(t(p))? 23976*p Let v(x) = -2*x**2. Let w(c) = -c**2 + 7*c + 3. Suppose -4*p + 30 = s, -5*p + 3*s + 1 = -28. Let b be w(p). Let q(r) = 2 - b*r - 2. Determine v(q(l)). -18*l**2 Let x(t) = 87*t + 39. Let a(m) = -m. What is x(a(k))? -87*k + 39 Let r(f) = -228*f**2 + 111*f**2 + 114*f**2. Let c(s) = 3*s - 3*s + s. What is c(r(t))? -3*t**2 Let x(p) = 0*p + p - 3*p. Let q(v) be the second derivative of -v**6/120 + v**3/3 - 2*v. Let b(l) be the second derivative of q(l). Calculate b(x(i)). -12*i**2 Let r(a) = 31*a - 2. Let y(i) = -2*i**2. What is y(r(t))? -1922*t**2 + 248*t - 8 Let v(h) = 2*h. Let m(g) be the first derivative of 4*g**2 - 5*g + 17. Give v(m(z)). 16*z - 10 Let t(r) = r**2. Let x(g) = -4*g**2. Let p(j) = -3*t(j) - x(j). Let f(b) = b**2 + 1. Let v(n) = 14*n**2 + 21. Let l(h) = 21*f(h) - v(h). Calculate p(l(a)). 49*a**4 Let n(x) = -6*x**2 + 3*x. Let b(f) = 5*f**2 - 2*f. Let a(i) = 3*b(i) + 2*n(i). Let t be (-12)/(-9)*6/4. Let s(j) = j**t + 2*j**2 - j**2. Calculate a(s(k)). 12*k**4 Let r(s) = -2*s**2. Let k(y) = -534*y. Determine r(k(l)). -570312*l**2 Let v(i) = -2*i. Let u(p) = -p. Let x(b) = -4*u(b) + v(b). Let s(c) = 8*c - 4*c + 2*c. What is x(s(f))? 12*f Let m(t) = 2*t**2. Let l = -4 + 10. Let n(v) = -2*v - l*v + 4*v. Give m(n(i)). 32*i**2 Let w(c) = -c**2. Let t(h) = h**2 + 2*h. Let q(n) = 3*n**2 + 7*n. Let j(a) = 2*q(a) - 7*t(a). Calculate w(j(z)). -z**4 Let j(n) = -n**2. Let a(w) = 27 - 12 + 3*w - 15. Give j(a(p)). -9*p**2 Let j(d) be the third derivative of d**5/30 + 3*d**2. Let c(p) = p**2 + 2*p. Let o(q) = q**2 + 3*q. Let x(r) = -3*c(r) + 2*o(r). What is x(j(n))? -4*n**4 Let r(d) = 2*d - 4 - 2 + 6. Let v(z) = 8*z. Calculate v(r(y)). 16*y Let s(d) = -2*d**2. Let l(q) = -q**2 + q. Let x(t) = -9*t**2 + 2*t. Let g(p) = -2*l(p) + x(p). Let w(a) = -8*a**2. Let c(y) = 6*g(y) - 5*w(y). What is c(s(m))? -8*m**4 Let d(o) = -2*o**2. Let z(x) = 44*x**2 - 11. Give z(d(n)). 176*n**4 - 11 Let q(k) be the second derivative of -k**4/12 - 8*k. Let g(s) be the third derivative of -1/12*s**4 - 3*s**2 + 0*s**3 + 0*s + 0. Give q(g(h)). -4*h**2 Let w(l) = -3*l. Let m(v) be the third derivative of v**4/12 + 7*v**2. What is w(m(u))? -6*u Let m(a) = 6*a + 11*a - a + 0*a. Let s(l) = -2*l. What is s(m(b))? -32*b Let q(k) = -40*k. Let h(a) = -3*a**2. Give q(h(r)). 120*r**2 Let z(h) = h**3 - 3*h**2 - 3*h - 1. Let i be z(4). Let k = 5 - i. Let q(y) = -4*y + 13*y
{ "pile_set_name": "DM Mathematics" }
= 1/20 + -51/220. Which is the second biggest value? (a) r (b) x (c) -0.4 b Let v be ((-1)/7)/(5/10). What is the second smallest value in v, 5, 1/2, -5? v Let s = 20/157 - 4777/36267. Let f = s + -197/231. Which is the biggest value? (a) f (b) 0 (c) 0.4 c Let m = -0.18 - 6.82. Let j = 26.8 + -34. Let p = j - m. Which is the biggest value? (a) 0.5 (b) 0.4 (c) p a Let h = -8 - -11. Let w = 4 - h. Which is the biggest value? (a) -0.5 (b) w (c) -1/10 b Let f = -7 + 8. Which is the second smallest value? (a) 4 (b) f (c) -5 b Let h = -92.1 - -93. Which is the second smallest value? (a) 1 (b) h (c) 2/3 b Let j = 95 - 84. What is the third smallest value in 3/4, 1/6, j, -4/5? 3/4 Let q = 2.6 - 1.6. Let u = -11 - -7. Which is the third biggest value? (a) u (b) 3 (c) q a Let c = 3.99 + 0.01. Let k = -2.0197 - -0.0197. What is the third smallest value in c, -5/6, k? c Let g = -77 - -233/3. What is the smallest value in g, 3, 1/4? 1/4 Let h = -6 + 8. Let y = -33 - -31.3. Let s = y + h. What is the third biggest value in 1, s, 2? s Let j = -18 + 17.6. Let u = 0.35 + -0.05. Which is the second smallest value? (a) 2 (b) j (c) u c Let k(j) be the second derivative of -j**5/20 + j**4/2 + j**3 + 4*j**2 + 2*j. Let g be k(7). What is the third biggest value in -3, g, -0.4? -3 Let w(z) = -z**2 - 2*z - 1. Let y be w(-3). Let h = 0.07 - 0.37. Which is the biggest value? (a) -1 (b) y (c) h c Suppose d = 4*q - 7, -3 = 5*q + 3*d + 1. What is the second smallest value in q, 2, -8, -3? -3 Let j = -0.1 - 0.7. Let d = 10.8 + -14. Let m = j + d. What is the smallest value in m, 0, 3/2? m Let z(u) = -3*u + 3. Let d be z(2). Let o = -4 + 6. Let p = o + -3. Which is the smallest value? (a) p (b) d (c) 2 b Let x = 10.11 - 10. Let n = -2.89 - x. Let s = 1 - 0.8. What is the biggest value in -0.4, s, n? s Suppose -f + 3*f = 5*k + 10, -5*f - 3*k - 37 = 0. Let c be (-6 - -2)*f/(-6). Let s = c - -55/12. What is the biggest value in 3, -3/8, s? 3 Let n = -4 - -8. Let s = 0.031 - 0.031. What is the third smallest value in n, s, -2/13? n Let o = -3291/13 - -253. Let d = 1237/7 - 177. Which is the second biggest value? (a) o (b) -0.1 (c) d a Let n be 68/(-144) + 6/27. Let o = 7/12 + n. Which is the third smallest value? (a) o (b) -0.4 (c) -2/11 a Let f be 4*(9/4)/9*-5. Which is the second biggest value? (a) f (b) -0.2 (c) -0.1 (d) 5 c Suppose 2*v + 0*v = 2*z - 4, 0 = -3*z - v + 6. Suppose z*y - 5 = 5. What is the third smallest value in -1/6, -3, y? y Suppose 0*f - f - 2*j - 4 = 0, 5*f + j = 16. Suppose f*l + 13 = -h, 4*l = l + 4*h - 5. What is the second biggest value in l, -4, 2/11? l Let y be 3 - 1 - 7/4. Let n = 1/34 - 19/68. Which is the third biggest value? (a) n (b) 3 (c) y a Let l = 1072/9 + -119. What is the third biggest value in 1/5, -2/9, l, -0.4? -2/9 Let c = -6 + 11. Let y = c - 5.2. Let d = 0 + y. What is the second biggest value in d, 5, -3? d Let r = -30 + 27. Which is the biggest value? (a) -2 (b) 3/5 (c) 2/19 (d) r b Suppose -4*w + w = 0. Let p be (4 - w)*(-3)/18. Let v = 0.015 + 4.985. Which is the smallest value? (a) -0.1 (b) p (c) v b Let s = -109 + 106.83. Let x = s + 0.17. What is the smallest value in 2/7, x, -2/11? x Let n = 3 - 7. What is the biggest value in -1/3, 0.5, n? 0.5 Suppose 5*z - 15 = -4*n, -5*z = -5*n + n + 65. What is the second biggest value in n, 3, 2/9? 3 Let z be -1 + 1 - 4/16. Let h = 80/399 + -2/21. Which is the third smallest value? (a) 0.4 (b) z (c) h a Let t = 13 - 0. Let o be (-2)/11 + t/11. Which is the second biggest value? (a) o (b) -3 (c) -0.3 c Let a = 21.2 + -18. Let c = 0.06 - -0.74. Let q = c + a. What is the second biggest value in q, -2/5, -0.3? -0.3 Let l be 6/60 - (-63)/(-30). Which is the third biggest value? (a) l (b) -5 (c) 4 (d) 1 a Let w = 7 - 6. Let l = w + 1. Let a(x) = 2*x + 9. Let n be a(-6). What is the third smallest value in n, l, 5? 5 Let i be (-10)/(-4)*18/(-30). Let n = 3.2 + -3. Which is the third biggest value? (a) n (b) i (c) -1/2 b Let f = 0.34 + 0.06. Let x = 0.3 + 0.2. Let u = f - x. Which is the third biggest value? (a) 2 (b) u (c) 4 b Let m be 10/8*1/(-5). Let k = -36 + 3. Let h = k - -34. Which is the second biggest value? (a) h (b) m (c) -5 b Let f = 5.61 - 6.01. Let g(l) = -l**2 - 5*l + 5. Let v be g(-6). Let d be 1*(v/9 - 0). What is the third biggest value in f, -6/5, d? -6/5 Suppose p + 0 = 1. What is the second biggest value in p, -2, 0? 0 Let z = 189 - 184.05. Let d = z + 0.05. Which is the third smallest value? (a) d (b) 0.2 (c) 1 a Let n = 22 + -25.6. Let k = n + 0.6. Let c = -0.3 - 0.2. What is the second smallest value in -2/7, c, k? c Suppose 2*i + 7 = -5. Let p = i + 7. What is the biggest value in 3, p, 4? 4 Let h = 1.3 - 1.14. Let y = 0.04 + h. What is the third smallest value in -1, -4/3, y? y Let w = 29.3 + -29. Which is the biggest value? (a) -0.3 (b) w (c) 4 c Let q be 4/(-3)*((-5)/2 + 1). Which is the biggest value? (a) -0.02 (b) q (c) -0.5 b Suppose 0 = 11*a - 3*a - 8. What is the third smallest value in a, 6/7, -1/4, -2/7? 6/7 Let s = 11 - 13. Let f = -6.9 - -7. What is the biggest value in -1, f, s? f Let g = -1378.82 - -1367. Let v = g + 9.9. Let u = v - 0.08. Which is the second biggest value? (a) 4 (b) -2/3 (c) u b Let x be (8/6)/((-1)/3). Let l be -2 + (-33)/(-21) + 1. Let z = 2.06 + -0.06. Which is the second smallest value? (a) z (b) x (c) l c Let k(n) = n**2 - 5*n - 9. Let l be k(-7). Let x = -827/11 + l. Which is the second smallest value? (a) 1 (b) -0.5 (c) x c Let f = 2 - 1. Let k = 1 + f. Let o = 2 + -1.5. Which is the biggest value? (a) o (b) k (c) -0.3 b Suppose -n = 2 - 0. Let s = 3.5 + -3. Which is the second smallest value? (a) n (b) 0.4 (c) s b Let n be -2 + (-66)/4*1/(-6). Which is the biggest value? (a) -0.4 (b) n (c) -0.5 (d) 3/8 b Let z = 2 - 2.5. Let n = 1 + -2. Let h = n + 5. What is the second smallest value in h, z, -0.4? -0.4 Let c = -17.1 + 13.1. What is the third smallest value in -7/4, c, -0.1, -3? -7/4 Let s = 0.01 - -1.99. Let r = s - 1.9. Let u = -13/8 - -33/40. Which is the third smallest value? (a) u (b) -0.3 (c) r c Let o = -11 - -12. What is the second biggest value in -0.5, 3, -4, o? o Let x = -327/44 - -90/11. Which is the fourth smallest value? (a) -1/4 (b) -5 (c) 0.5 (d) x d Let o = -0.36 + 0.06. Let z be (-33)/(-6) + -3 + -2. Which is the smallest value? (a) 2 (b) o (c) z b Let l = -3 + 2.8. Let p = 5 - 5.1. Which is the second biggest value? (a) p (b) l (c) 4 a Let f = -0.4 + 0.1. Let t be (-4 + (3 - 0))*0 + -16. What is the second smallest value in 2, f, t? f Let w = -6.231 + 0.031. Let q = -6 - w. Let m = -7 + 2. What is the third smallest value in m, q, 0.5? 0.5 Let u = -59/10 - -42/5. Let f(b) = b**2 - 9*b - 4. Let r be f(7). Let k be (-30)/r*2/(-10). What is the third smallest value in k, -0.1, u? u Let l = -5.3 - -5.1. Let t = 1 + 0. Let v = -2 + t. What is the third biggest value in v, 0.1, l? v Let v = 26 - 21. Let z = -4.5 + 4. Which is the third biggest value? (a) z (b) v (c) -5 c Let f = 0.09 + 0.41. Let m be (-4)/(-6) + 16/12. What is the third biggest value in 1, m, f? f Let j(r) = r**3 + 2*r**2 + r. Let o be j(-3). Let z be (2 - o/(-8))*2. Which is the biggest value? (a) 5 (b) 0.5 (c) z a Let o = 1 + -1.03. Let k = o - 0.37. Let w = k - -0.2. What is the smallest value in 0.2, -3/2, w? -3/2 Let l = 17.2 - 3.4. Let f = 14 - l. Which is the third biggest value? (a) -2 (b) f (c) -4 c Let l = -53574/59 + 908. Let h = 75/472 + l. Let k be -2 + 1 + -3 - -2. What is the second smallest value in -1/4, k, h? -1/4 Let r = 13/60 - -9/20. Let z = -1.54 - -1.74. Which is the second biggest value? (a) r (b) z (c) -4 b Let a = 3.1 + -3.09. What is the second biggest value in a, -4, -5? -4 Suppose -5*t + 2*g + 37 = 0, 0 = -g - 3*g - 4. Let r be (-2)/(-7) - 5/t. Let j = -0.1 + -0.4. What is the third biggest value in j, r, -0.2? j Let h(o) = -o**3 + 10*o**2 + 10*o + 10. Let z be h(11). Which is the second smallest value? (a) 3 (b) -0.3 (c) z b Let b = -12.94 + -0.06. Let j = 13.4 + b. What is the second smallest value in j, -2/13, 6? j Let s be (-4)/(-10)*(-110)/(-198). Which is the second biggest value? (a) -0.
{ "pile_set_name": "DM Mathematics" }
divisor of 35 and 91. 7 What is the greatest common factor of 16 and 1? 1 What is the greatest common divisor of 190 and 20? 10 What is the greatest common divisor of 36 and 126? 18 Calculate the highest common divisor of 3498 and 66. 66 What is the greatest common factor of 44 and 5654? 22 Calculate the greatest common factor of 1225 and 75. 25 What is the greatest common divisor of 550 and 88? 22 Calculate the highest common divisor of 1078 and 112. 14 What is the greatest common divisor of 128 and 24704? 128 Calculate the highest common factor of 1278 and 12. 6 Calculate the highest common factor of 35 and 5495. 35 What is the highest common divisor of 2 and 577? 1 Calculate the highest common divisor of 70 and 1390. 10 What is the greatest common factor of 5548 and 876? 292 What is the highest common factor of 55 and 880? 55 What is the greatest common divisor of 338 and 2? 2 Calculate the highest common factor of 24 and 600. 24 What is the highest common factor of 4033 and 763? 109 Calculate the greatest common divisor of 222 and 51837. 111 Calculate the highest common divisor of 114 and 798. 114 Calculate the highest common divisor of 51 and 5712. 51 What is the highest common divisor of 964 and 12? 4 Calculate the highest common divisor of 448 and 616. 56 Calculate the highest common factor of 999 and 189. 27 What is the greatest common factor of 1854 and 12? 6 What is the greatest common divisor of 238 and 742? 14 Calculate the greatest common factor of 402 and 138. 6 Calculate the greatest common divisor of 135 and 108. 27 Calculate the highest common divisor of 60 and 24. 12 Calculate the highest common factor of 201 and 9447. 201 Calculate the highest common divisor of 102 and 34. 34 What is the greatest common factor of 36 and 1756? 4 Calculate the greatest common divisor of 1500 and 744. 12 What is the highest common factor of 738 and 36? 18 What is the highest common divisor of 2691 and 741? 39 What is the highest common factor of 104 and 152? 8 Calculate the greatest common divisor of 725 and 975. 25 What is the greatest common factor of 416 and 128? 32 What is the highest common factor of 536 and 8? 8 Calculate the greatest common factor of 320 and 16. 16 Calculate the greatest common divisor of 12 and 3552. 12 What is the highest common divisor of 26 and 2028? 26 Calculate the greatest common divisor of 342 and 306. 18 What is the highest common divisor of 324 and 405? 81 What is the highest common divisor of 89 and 89? 89 Calculate the greatest common factor of 945 and 4275. 45 Calculate the highest common divisor of 342 and 19. 19 What is the highest common divisor of 5 and 405? 5 What is the greatest common factor of 1156 and 1666? 34 What is the greatest common factor of 10 and 2390? 10 Calculate the highest common divisor of 7885 and 19. 19 What is the greatest common divisor of 256 and 272? 16 Calculate the highest common divisor of 162 and 234. 18 What is the highest common divisor of 160 and 3920? 80 Calculate the greatest common divisor of 189 and 216. 27 What is the highest common divisor of 247 and 104? 13 What is the highest common divisor of 3164 and 28? 28 What is the greatest common divisor of 10854 and 9? 9 Calculate the greatest common factor of 108 and 1356. 12 What is the greatest common divisor of 75 and 5800? 25 What is the greatest common factor of 15 and 807? 3 What is the highest common factor of 100 and 80? 20 What is the greatest common divisor of 57 and 57? 57 Calculate the highest common divisor of 6 and 114. 6 What is the greatest common divisor of 1107 and 1599? 123 Calculate the highest common divisor of 4994 and 22. 22 Calculate the greatest common divisor of 2230 and 10. 10 What is the highest common factor of 1687 and 14? 7 What is the highest common factor of 310 and 2759? 31 Calculate the greatest common factor of 1156 and 4. 4 Calculate the greatest common divisor of 63 and 567. 63 Calculate the greatest common factor of 465 and 195. 15 What is the highest common factor of 846 and 54? 18 Calculate the highest common factor of 605 and 165. 55 Calculate the greatest common divisor of 272 and 2754. 34 What is the highest common divisor of 42 and 98? 14 What is the greatest common factor of 374 and 17? 17 What is the highest common factor of 55 and 506? 11 Calculate the greatest common divisor of 28 and 23492. 28 What is the greatest common divisor of 1962 and 4? 2 What is the greatest common factor of 44 and 1760? 44 What is the greatest common factor of 2779 and 21? 7 Calculate the highest common factor of 1240 and 2108. 124 Calculate the highest common divisor of 75 and 240. 15 Calculate the greatest common factor of 72 and 120. 24 What is the greatest common divisor of 32 and 92? 4 What is the highest common factor of 14 and 4298? 14 What is the greatest common factor of 840 and 56? 56 Calculate the highest common divisor of 147 and 343. 49 What is the greatest common divisor of 12034 and 154? 22 What is the highest common factor of 94 and 15322? 94 Calculate the highest common divisor of 64 and 1424. 16 What is the highest common divisor of 9 and 72? 9 Calculate the highest common factor of 686 and 8. 2 Calculate the greatest common factor of 170 and 3145. 85 What is the greatest common factor of 68 and 374? 34 What is the greatest common divisor of 6298 and 940? 94 What is the greatest common factor of 414 and 2277? 207 What is the highest common factor of 176 and 128? 16 Calculate the greatest common factor of 1508 and 65. 13 Calculate the highest common factor of 1320 and 48. 24 Calculate the highest common divisor of 216 and 162. 54 What is the greatest common factor of 80 and 190? 10 Calculate the highest common divisor of 50 and 330. 10 Calculate the greatest common factor of 114 and 6. 6 Calculate the highest common factor of 625 and 25. 25 What is the highest common divisor of 316 and 8? 4 What is the highest common divisor of 165 and 132? 33 What is the greatest common divisor of 52271 and 313? 313 What is the greatest common divisor of 56 and 40? 8 Calculate the highest common factor of 48 and 132. 12 Calculate the highest common factor of 10 and 5165. 5 What is the greatest common factor of 684 and 532? 76 What is the greatest common factor of 77 and 539? 77 What is the highest common factor of 330 and 3036? 66 What is the highest common factor of 1157 and 13? 13 What is the highest common divisor of 36 and 153? 9 Calculate the greatest common factor of 17 and 68. 17 Calculate the highest common divisor of 476 and 588. 28 Calculate the greatest common factor of 12 and 132. 12 Calculate the highest common factor of 3179 and 33. 11 What is the greatest common factor of 50 and 20? 10 What is the greatest common divisor of 135 and 1755? 135 What is the highest common divisor of 575 and 25? 25 Calculate the greatest common factor of 559 and 39. 13 What is the greatest common factor of 12 and 7116? 12 Calculate the greatest common divisor of 14041 and 19. 19 What is the highest common divisor of 234 and 108? 18 What is the highest common divisor of 136 and 3434? 34 What is the highest common factor of 535 and 50? 5 Calculate the greatest common divisor of 32315 and 115. 115 What is the greatest common factor of 208 and 13? 13 Calculate the greatest common factor of 535 and 107. 107 What is the highest common divisor of 2702 and 238? 14 What is the highest common divisor of 20 and 32? 4 What is the highest common divisor of 29 and 1? 1 What is the highest common divisor of 1600 and 200? 200 What is the greatest common divisor of 12 and 456? 12 Calculate the greatest common divisor of 22 and 99. 11 What is the highest common factor of 17 and 799? 17 What is the greatest common factor of 100 and 950? 50 Calculate the greatest common divisor of 15 and 60. 15 What is the greatest common divisor of 175 and 420? 35 What is the greatest common factor of 132 and 1353? 33 Calculate the greatest common divisor of 28 and 350. 14 Calculate the highest common divisor of 25 and 45. 5 What is the greatest common factor of 3360 and 42? 42 What is the greatest common divisor of 50 and 8950? 50 Calculate the highest common divisor of 59 and 177. 59 Calculate the highest common factor of 50 and 625.
{ "pile_set_name": "DM Mathematics" }
t d(q) = -3*c(q) + 10*h(q). Factor d(x). -5*(x - 3)*(x - 1)**2*(x + 1) Let j = 393/3208 - -1/401. Factor 0 + 1/8*u - j*u**3 + 1/4*u**4 - 1/4*u**2. u*(u - 1)*(u + 1)*(2*u - 1)/8 Let b(i) be the first derivative of -1 + 1/42*i**4 + 0*i**3 - 1/7*i**2 + i. Let l(m) be the first derivative of b(m). Factor l(c). 2*(c - 1)*(c + 1)/7 Let t(j) be the second derivative of 0*j**2 + 1/3*j**4 + 2/3*j**3 - 67/20*j**5 - 13/3*j**6 - 5*j - 3/2*j**7 + 0. Determine k, given that t(k) = 0. -1, -2/7, 0, 2/9 Factor 27/5*i + 3 + 12/5*i**2. 3*(i + 1)*(4*i + 5)/5 Let i(n) be the third derivative of n**8/168 - n**6/60 - 3*n**2. Suppose i(x) = 0. Calculate x. -1, 0, 1 Let m = 9 - 9. Let q = 5 + m. Find z, given that z - 3*z**2 - z**q + 4*z**5 + 9*z**3 - z - 9*z**4 = 0. 0, 1 Let x(j) be the third derivative of 0 + 1/210*j**5 - 4*j**2 + 1/84*j**4 + 0*j + 0*j**3. Factor x(g). 2*g*(g + 1)/7 Let a(x) be the second derivative of x**5/30 - x**4/12 + 2*x**2 + x. Let u(k) be the first derivative of a(k). Factor u(i). 2*i*(i - 1) Let h(q) = 1. Let x(f) = -f**2 - 4*f**2 + 4*f + 12 + 9*f**2 - 4. Let o(d) = -8*h(d) + x(d). Factor o(c). 4*c*(c + 1) Let r(f) = 76*f**3 - 77*f**2 + 16*f + 3. Let n(q) = -75*q**3 + 78*q**2 - 15*q - 4. Let h(w) = 5*n(w) + 6*r(w). Factor h(c). (3*c - 1)**2*(9*c - 2) Let g = -24 - -28. Let m(v) be the first derivative of -2/35*v**5 + 1/7*v**g + 0*v**2 + 0*v - 2/21*v**3 - 2. Solve m(t) = 0 for t. 0, 1 Determine l, given that -14*l + 5*l + 5*l + 20*l**2 = 0. 0, 1/5 Let r(q) be the first derivative of -1/4*q**2 + 1/2*q**3 + 0*q + 5/8*q**4 - 1/3*q**6 - 9 - 3/10*q**5. Determine d so that r(d) = 0. -1, 0, 1/4, 1 Suppose 4/9*r + 0 - 2/9*r**2 = 0. What is r? 0, 2 Suppose -15*s = -0*s. Factor 1/3*w**4 + 0*w + 0*w**3 + s + 0*w**2. w**4/3 Suppose 4*d = -2*p - 2, -p + 9 + 0 = -3*d. Let 21/2*k**4 + 9/2*k**5 + 0 + 8*k**p + 2*k**2 + 0*k = 0. What is k? -1, -2/3, 0 Let b(x) = -x**2 - x + 14. Let m be b(0). Suppose 5*o = 1 + m. Factor q**2 - q**o + 2 - 4 + q + 1. -(q - 1)**2*(q + 1) Suppose 20/3*l - 5 - 5/3*l**2 = 0. What is l? 1, 3 Let t = 4 + 1. Suppose 4*a - 18 = -t*l, -a = -4*l + a + 4. Determine f so that -44*f**3 + f**l - f**2 + f**4 + 43*f**3 = 0. 0, 1 Let l be ((-1032)/(-56))/3 - (-6)/(-1). Factor -l*g**2 - 1/7*g**3 + 1/7*g + 0 + 1/7*g**4. g*(g - 1)**2*(g + 1)/7 Let s(j) be the third derivative of -j**6/360 + j**5/60 - 4*j**3/3 + 8*j**2. Let l(m) be the first derivative of s(m). Solve l(r) = 0. 0, 2 Let s = 52/21 - 8/7. Find t, given that -s*t**2 - 2/3*t**3 - 2/3*t + 0 = 0. -1, 0 Let y(r) be the second derivative of -r**7/336 - r**6/120 + r**5/80 + r**4/24 - r**3/48 - r**2/8 - 10*r. Solve y(b) = 0 for b. -2, -1, 1 Let q = -5 - -7. Suppose 3*j - 5*o = 21, -3*j - 4*o = o + 9. Let -3*w**j + w**2 + w**q = 0. What is w? 0 Let a = -2 + 6. Let p(y) = 3*y**4 + 1 - 4*y**3 + 2*y - 2*y**a + 2*y. Let r(j) = -2*j**4 + 9*j**3 - 9*j - 3. Let m(l) = 5*p(l) + 2*r(l). Factor m(x). (x - 1)**3*(x + 1) Factor -2/9*g**4 + 0*g**2 - 8/9*g + 0 + 2/3*g**3. -2*g*(g - 2)**2*(g + 1)/9 Let l(o) = -o**2 - o. Let q be l(-1). Suppose -3*w + 8 + 1 = q. Find g, given that g**2 - 2*g - 3*g + g**2 + w*g = 0. 0, 1 Let t(o) = -5 + 2*o - 1 + 3 + o**2. Let i be -1 + -2 + 3 - -2. Let l(n) = -5*n**2 - 11*n + 16. Let v(j) = i*l(j) + 11*t(j). Solve v(w) = 0 for w. -1, 1 Let j(c) be the second derivative of c**6/40 + 3*c**5/40 - c**4/4 - c**3/4 + 9*c**2/8 + 30*c. Suppose j(x) = 0. What is x? -3, -1, 1 Let d(p) be the second derivative of p**7/720 + p**6/288 - p**5/120 - p**4/6 - 7*p. Let y(a) be the third derivative of d(a). Determine n, given that y(n) = 0. -1, 2/7 Let p(z) be the third derivative of z**6/120 + z**5/20 - z**4/24 + z**3/2 + 3*z**2. Let l(t) = -2*t**2 - 2. Let r(v) = -3*l(v) - 2*p(v). Factor r(k). -2*k*(k - 1)*(k + 1) Let g(p) be the first derivative of 5*p**4/4 + 5*p**3/3 - 5*p**2/2 - 5*p - 25. Suppose g(z) = 0. What is z? -1, 1 Suppose -4*j = 4*u - 8, -2 = -j + 4*u - 10. Factor 0*r**2 + 1/4*r**5 + 0 - 1/8*r**4 - 1/8*r**3 + j*r. r**3*(r - 1)*(2*r + 1)/8 Suppose -8 = j - 3*c, 2*j = 5*j + 3*c - 24. Let k = j - 2. Factor -k*u - 1/2*u**2 - 2. -(u + 2)**2/2 Let p = 12/17 + -43/85. Find b such that -2/5*b + p*b**2 + 1/5 = 0. 1 Suppose 5*l - 7 - 3 = 0. Suppose 3*x + l = 11. What is z in 4/3*z**2 + 0 + 2/3*z + 2/3*z**x = 0? -1, 0 Let a(q) be the first derivative of q**6/480 - q**4/96 - 3*q**2/2 - 3. Let f(v) be the second derivative of a(v). Solve f(t) = 0. -1, 0, 1 Let k + 0 + 1/2*k**3 + 3/2*k**2 = 0. What is k? -2, -1, 0 Let q = -5 + 7. Find y such that 7*y + 3*y**q - 6*y**3 - 13*y**2 + 8 + y = 0. -2, -2/3, 1 Let b(h) be the first derivative of -h**7/49 - 2*h**6/105 + 3*h**5/70 + h**4/21 - 5*h + 7. Let g(l) be the first derivative of b(l). Let g(d) = 0. Calculate d. -1, -2/3, 0, 1 Suppose -4*h = g + h - 9, -h = -1. Let m(u) be the second derivative of 0 + 1/18*u**g + u - 1/3*u**2 + 0*u**3. Find w, given that m(w) = 0. -1, 1 Let c(h) = h**3 - 5*h**2 + 6*h - 11. Let i(t) = 1. Let u(g) = c(g) + 5*i(g). Let k be u(4). What is w in 1/5 + 1/5*w**3 + 3/5*w**k + 3/5*w = 0? -1 Suppose 4*p = -0*p + 20. Factor -6*a**4 + 6*a**2 + a**5 - 3*a + 5*a**5 - 3*a**p. 3*a*(a - 1)**3*(a + 1) Let i(s) be the second derivative of s**6/75 - s**5/50 - s**4/10 + s**3/15 + 2*s**2/5 - 18*s. Factor i(o). 2*(o - 2)*(o - 1)*(o + 1)**2/5 Let a be (3 + 5)*1/2. Let m be (-2 + (-2)/a)*-2. Let -s**2 - 5 - s**3 + 3 - 3*s**2 - m*s = 0. Calculate s. -2, -1 Let m(g) be the second derivative of 0*g**2 + 0 + 4/15*g**6 - 1/21*g**7 - 1/3*g**3 - 3*g + 2/3*g**4 - 3/5*g**5. Find l, given that m(l) = 0. 0, 1 Suppose -m - 4 + 1 = -a, 4*a = 20. Factor -14*z**3 + 10*z**2 - 2*z - 3*z**2 + z + 0*z**m + 8*z**4. z*(z - 1)*(2*z - 1)*(4*z - 1) Let b(h) be the second derivative of 0*h**4 - 2*h - 1/300*h**5 + 1/30*h**3 + 0 + h**2. Let v(m) be the first derivative of b(m). Solve v(n) = 0. -1, 1 Let c(f) be the first derivative of -f**7/350 + 3*f**5/100 - f**4/20 - f**2/2 + 8. Let k(j) be the second derivative of c(j). Factor k(a). -3*a*(a - 1)**2*(a + 2)/5 Suppose c + 15 = 2*p, -2*c - 4*p + 10 = -0*p. Let n(h) = h**3 + 6*h**2 + 5*h + 2. Let s be n(c). Factor -3*m**2 - 2*m - m**2 + s*m**5 + 0*m**4 + 4*m**4. 2*m*(m - 1)*(m + 1)**3 Let k(v) = v**2 + 4*v + 9. Let a(m) = -45 + m**2 - 7*m**2 + m**2 - 19*m. Let n(w) = 6*a(w) + 33*k(w). Factor n(r). 3*(r + 3)**2 Let a(c) be the second derivative of c**7/42 - c**6/10 + c**5/10 + c**4/6 - c**3/2 + c**2/2 - 16*c. Factor a(r). (r - 1)**4*(r + 1) Suppose t - 3 = -9. Let i = t + 9. Solve -6*z**3 + 3*z + 6*z**4 + 6*z**2 - i*z - 4*z**2 - 2*z**5 = 0. 0, 1 Let m be (-1)/(-3) - 2/6. Let v(k) = k**3 - k + 2. Let j be v(m). Suppose n**2 - n**4 + j*n**2 + n**3 - 3*n**2 = 0. Calculate n. 0, 1 Let y(c) be the first derivative of -c**5/40 + c**4/24 + c**3/12 - c**2/4 - 4*c + 1. Let f(d) be the first derivative of y(d). Factor f(p). -(p - 1)**2*(p + 1)/2 Let g(u) be the second derivative of 0*u**3 + 0 - 6*u + 1/6*u**4 + 1/10*u**5 + 0*u**2. Let g(d) = 0. What is d? -1, 0 Let s(c) be the first derivative of c**4/8 - c**3/6 - c**2/2 - 4. Factor s(l). l*(l - 2)*(l + 1)/2 Let v(d) be the first derivative of -4/15*d**3 + 0*d**4 - 1/5*d**2 + 4/25*d**5 + 1/15*d**6 + 1 + 0*d. Factor v(b). 2*b*(b - 1)*(b + 1)**3/5 Let v(y) = y**3 - y**2 + 1. Let z(d) be the second derivative of d**7/14 - 7*d**5/20 + d**4/12 + d**3/2 - d**2/2 - 9*d. Let i(g) = v(g) + z(g). Factor i(n). 3*n*(n - 1)**2*(n + 1)**2 Suppose 0 = -3*v - 12, -p - v + 6 = -6*p. Let s be -3 + (35/p)/(-5). Find g, given that -1/4*g + 1/4*g**4 - 1/4*g**5 - 1/2*g**2 + 1/4 + s*g**3 = 0. -1, 1 Solve -23/6*i - 2/3 + i**2 = 0 for i. -1/6, 4 Let d(b) be the second derivative of 0 - 1/20*b**5 + 0*b**2 - 1/12*b**4 + 1/42*b**7 + 0*b**3 + 9*b + 1/30*b**6. Factor d(i). i**2*(i - 1)*(i + 1)**2 Let t(z) be the third derivative of -1/6*z**4 + 0*z + 0 + 2*z**2 - 1/3*z**3 + 1/180*z**6 + 1/60*z**5. Let y(p) be the first derivative of t(p). Factor y(v). 2*(v - 1)*(v + 2) Let a = 13 - -9. What is y in 18*y**3 + 2*y**2 + 2*y**2 - a*y**4 - 6*y**2 + 8*y**5 - 2*y = 0? -1/4, 0, 1 Factor 14*r + 3*r**2 + r**2 - 6*r + 4. 4*(r + 1)**2 Let c(m) be the first derivative of m**3/6 - 7*m**2/4 - 4*m + 30. Find f, given that c(f) = 0. -1, 8 Let b = -2 + 2. Let c = 82 - 80. Solve -2/5*f + 6/5*f**c + b + 2/5*f**4 - 6/5*f**3
{ "pile_set_name": "DM Mathematics" }
- a = 2. Suppose y + g = -21. Are y and -22 unequal? False Suppose -2*u - 2*u - 20 = -4*i, -2*i = -10. Let m = 1 + u. Let n = -133/11 - -12. Is n at most as big as m? True Suppose 0 = 7*u - 77 - 42. Let x = -17 + u. Is x less than -4? False Suppose 10*w - 2 = -12. Is -2/23 at most w? False Let b be (-19518)/(-1053) + 2/(-27). Which is bigger: 19 or b? 19 Let r be 12/(-2) + 6468/630. Which is smaller: 4 or r? 4 Suppose -2*b = 3*s + 35, -3*s + b - 2*b = 34. Let f = s + 12. Let d be (-8)/3*(-4 + f). Is 6 greater than d? False Let z(d) = 4*d + 11. Let j be z(8). Let q = j + -31. Suppose 0 = -3*o - 0 - q. Which is greater: o or -5? o Let u = 477.36 + -477. Which is greater: -15 or u? u Let r = 131 - 131. Let t = -551 - -12671/23. Which is greater: r or t? r Let t(c) = 4*c**2 + c + 1. Let j(f) = -7*f**2 - 3*f - 1. Let q(w) = 6*j(w) + 11*t(w). Let b be q(2). Let h be (-300)/(-148) + 2*-1. Which is bigger: b or h? h Let m be 318/1855*(-14)/(-382). Is 0 > m? False Let k = -180.5 + 178.398. Which is smaller: k or -1/3? k Let q be (-5 - (-312)/42) + 1. Is q greater than or equal to 4? False Let h = -152 + 157. Suppose -j - 18 = -h*a, 5*a - 8*a = 4*j + 3. Is 4 not equal to a? True Let t = -10 + 9. Let y = -566 - -14146/25. Which is smaller: y or t? t Let o(j) = j**3 + 2*j**2 - j - 1. Suppose -13 = -2*g + 1. Suppose -c - 2*k + g*k = 27, 4*c + 3*k - 7 = 0. Let a be o(c). Which is greater: 0 or a? a Let x = 2/179 + 171/716. Which is bigger: -77 or x? x Let b = 18 - 37. Let z = 17 - 4. Suppose -15 + z = 2*v. Is b at least v? False Let p = -30 - -32. Let l be (-2 - (-6)/p) + 53/(-47). Which is smaller: -1 or l? -1 Suppose 24 = 4*b - 4*v, b + 4*v = -0*v - 4. Suppose 151 = -3*y - b*l, 0 = -3*y + 2*l - 228 + 47. Is y < -57? False Let n = 4 + -9. Let b be (-4)/16 - n/4. Let t be ((-6)/(-3) - 2)*b. Is 0 at most t? True Suppose 0 = 3*v - 2*u - 58, 0*v = 3*v - 5*u - 55. Let l be (v/8 - 3)*4. Which is smaller: l or -15/8? l Let n be (-273)/(-126)*(40/18)/(-5). Which is smaller: -0.2 or n? n Let s = 59 + -106. Let u = -28 - s. Let p = u - 19.1. Which is smaller: p or 18? p Let c be ((9/(-2))/(-3))/((-18)/(-24)). Let m be (6/12)/((-2)/8*c). Let v be (-232)/(-530) + (-4)/10. Is m <= v? True Suppose 0 = -15*y + 7*y + 40. Let p be y - (1 - -5) - 5. Suppose -2*k + j + 12 = -5*k, 3*k + 2*j + 15 = 0. Is k greater than or equal to p? True Let z be 5 + 8 + 7 - 22/(-121). Which is bigger: z or 19? z Let i be 1/(-2)*12/1086. Which is greater: i or -1? i Let r(z) = -5*z**2 + 2*z + 19. Let f be r(-4). Let u be f/(-46)*1/3*16. Which is bigger: 7 or u? u Let q = 292 - 292. Is 0.26 at most q? False Let h(d) = -d - 6. Let v be h(-9). Suppose 0 = -18*m + 15*m - v. Let k be 0 + -9*2/14. Which is bigger: k or m? m Let l(c) = c**3 - 7*c**2 + 3*c + 7. Let y be l(6). Let t be 8/6*(y - -14). Which is greater: 30/11 or t? t Let m be 0 + 1 + (2 - 5). Let a be (-27)/360 - m/10. Let v(y) = -y - 3. Let h be v(-3). Is h at least as big as a? False Let s = 440/7 + -4798/77. Let f be 11 + 1 + 2 + 0. Suppose -5*h - 2*x = -f, 2*h = -0*h - 2*x + 8. Which is greater: h or s? h Let h = 1.61 - -0.29. Let q = h + 0.1. Which is greater: q or -5? q Let q be 10*((-8)/(-10) + 0). Suppose 6*s - 4 = q. Let x be 28/(-12) + s + 1. Is x equal to -6? False Let b = -147 - -387. Let w = -153 + b. Let u = 517/6 - w. Which is smaller: -1 or u? -1 Suppose -2*f - 2*f + 4 = 0. Suppose 0 = -5*a - 10, i + 2*a - f = 3*a. Let o be 1/1 + i - 1. Which is greater: -2/7 or o? -2/7 Let i be 208/728*714/4. Which is bigger: 0.13 or i? i Let z(l) = 4*l**2 - l - 5. Let s be z(6). Let b = s - 6119/46. Which is smaller: 1 or b? b Let s be ((-8)/20)/(16/(-40)) + -715. Is -715 >= s? False Let h be 2/(-13) - (-4)/26. Let c = 23 + -23. Is c at most h? True Let r = -74 + 667/9. Let m = 1109 - 1109. Which is greater: r or m? r Let a = 381 - 430. Which is bigger: -243/5 or a? -243/5 Let j = -76 + 60. Which is smaller: -19 or j? -19 Suppose g + v - 15 = 0, -6*g + 4*v + 76 = -2*g. Let y = 67 - 50. Do g and y have the same value? True Let r = -0.7 + 0.4. Let k = r - 2.7. Let d be (3/12)/(5/(-4)). Is d equal to k? False Let d = 198 + -217. Is d at least as big as -20? True Let o be (7 - 184/28) + 5481/(-784). Are -7 and o equal? False Let k = -3.14 + 2.94. Which is smaller: k or 7.2? k Let z = -6/6413 + -43541/1442925. Is z > -1? True Let g = -6567221057182/188700476962305 + -2/2678312071. Let z = 5606 - 7181288/1281. Let i = z + g. Does 1 = i? False Let v = 1.7 - 2. Let s be (21/(-12) + 9/12)*15. Let z(g) = -g - 17. Let n be z(s). Which is smaller: n or v? n Suppose 8*v - 7*v + 2 = 5*z, -z - 4*v + 13 = 0. Is z > 25/29? True Let z = 4814 + -4848.63. Let w = 0.37 - z. Which is greater: w or -1? w Let h = 175 - 217. Is h less than or equal to -1? True Let r = -288.342 - -288. Let s = r - -0.042. Is 0 at least as big as s? True Let p = 35.77 - 0.77. Let g = -21 + p. Which is smaller: g or 0? 0 Let d = 43/28 + -9/7. Which is smaller: -128 or d? -128 Let u = -1259 - -1178. Which is smaller: u or -244/3? -244/3 Let l = -0.11 - -0.16. Let r = -13.05 + l. Let j = 12.9 + r. Which is bigger: 1/2 or j? 1/2 Let t = -0.8 + -7.2. Let k = t + -15. Let g = -22.9 - k. Which is greater: 0.4 or g? 0.4 Let y = -339 + 576. Is y equal to -1? False Let r(o) = o**3 + 8*o**2 + 7*o + 2. Let j be r(-7). Let l be 1 + -6 - (-6)/2. Let w = 4 + l. Is j less than w? False Let a be (-4)/12 + 50/15. Suppose 4*q = -4*x - 24, a*q + 23 = x + x. Is -7 at least q? True Let o = -1282/33291 - -20/243. Is 1 equal to o? False Let p = -123/22 + 19/2. Which is smaller: 4 or p? p Let z be 77/1089 + 3/27. Do z and -4/41 have the same value? False Let x = -2/2409 - 4013/2409. Which is smaller: x or 0.51? x Let q = 9 + 4. Let r = -25.1 + 12.4. Let i = r + q. Are -2/11 and i equal? False Let t(y) = y**2 - 6*y + 9. Let f be t(6). Suppose -108 = 8*v - 180. Is f at least v? True Let o be 10/55 + (-2 - (-62)/22). Let t = 36 + -72. Let u be 24/t + 82/114. Which is bigger: u or o? o Let k(n) = 3 - 3 + 4*n. Let f be k(-2). Suppose 0 = -4*w + w - b - 20, 5*b = 6*w + 47. Is f less than or equal to w? True Let j be 5*(-1 - 3/5). Let u(c) = c**2 + 20*c + 20. Let g be u(-19). Suppose g = h + 8. Which is greater: h or j? h Suppose 0 = -5*f - 3*b + 31, 4*f = b - 4*b + 26. Suppose -4*j + 14 = 5*g, -f*g + 0*j = j - 26. Is g < 7? True Let h be (-1)/2 + (-28)/(-8). Suppose -z + 6 = h. Suppose 2*n - 10 = 3*m + 2*m, -z*m - 3*n - 27 = 0. Which is smaller: -3 or m? m Suppose 0 = -4*x - 2*b - 12, x = b + 2*b + 11. Let f be 0/x*(2 + 3/(-2)). Which is greater: f or -3/20? f Let j = 1 - -1. Suppose 18 = -j*z - z. Let h be (-2)/z + 2/6. Are 1 and h equal? False Let u be 2*((-282)/(-142) - 2). Let l(g) = -g - 5. Let w be l(-5). Is u > w? False Suppose 10 = -4*h - j, -247 = 3*j - 253. Which is bigger: h or -79/26? h Let n be 5 + -2 + -2 + 0. Let x = 1825 + -129577/71. Is x smaller than n? True Let f be (-45 + 47)*(-45)/(-2). Which is greater: 43 or f? f Suppose 4*n - 10 - 2 = 0. Suppose -3*t - n = 21. Let v be 2/t + 135/(-36). Is v >= -4? True Let c = -1799 - -1804. Let l = -3.7 - -4. Is l <= c? True Let b = 2.36 - -5.24. Is 1 > b? False Let s = -3/83 + 1586/249. Is 7 != s? True Suppose -4*v = 18 + 70. Let h be v/(-8) - (-3)/12. Suppose 0 = -4*x - o + 17, 3*x + 4*o - 14 = 15. Is x bigger than h? False Let a(j) = 6*j**2 + 38*j + 159. Let z be a(-5). Which is bigger: z or 123? 123 Suppose -2*s + 12 = 3*h + s, 5*h = 5*s - 10. Let i = -157 - -6125/39. Is h less than i? False Let j(y) = -y**2 - 3*y + 10. Let h be j(7). Let g be 35/h + (-1)/4. Is -1 greater than g? False Let h = 851 - 537. Which is smaller: 627/2 or h? 627/2 Suppose -5 = -2*y - 3. Suppose -a + 4 = 3*a. Let f be 3/1*5/3 - a. Is y <= f? True Let o(p) = -p**2 + 7*p - 5. Let n be o(0). Are n and -43/7 non-equal? True Let t = 94 + -56. Let b = t + -37.9. Which is smaller: b or -0.7? -0.7 Let o = -206 - -205. Are o and -72/5 nonequal? True Let w = -889 + 977. Is w greater than -3? True Let r = 25 - 29. Let l be r + (-5)/((-4)/4). Which is bigger: l or -1/16? l Let h = -3 - -57. Suppose a - h = -2*a. Which is greater: a or 56/3? 56/3 Suppose x + 10 = 2*s - 2*x, -17 = 5*s + 3*x. Let h(z) = -2*z**2 + 1. Let q be h(s). Let c be (14/63)/(11/(-3)*-1). Is q >= c? False Let
{ "pile_set_name": "DM Mathematics" }
22/219 What is 7379805 divided by 1319? 5595 What is -1363611699 divided by -3? 454537233 What is -3 divided by -1568205? 1/522735 What is 27485 divided by -264? -27485/264 Divide -38 by -1254877. 38/1254877 -45523212 divided by -641172 71 Divide 13562200 by -1. -13562200 What is 4 divided by -3023463? -4/3023463 Divide -104128112 by -1892. 55036 What is 15216 divided by 4243? 15216/4243 -42959 divided by 347 -42959/347 What is 750 divided by -21820? -75/2182 What is -54 divided by 3601? -54/3601 What is 22943970 divided by 6454? 3555 What is 607070832 divided by -151767708? -4 Divide 12159714 by -4053238. -3 Calculate 68471 divided by 3. 68471/3 -39279708 divided by 351 -111908 Divide 1 by 26007150. 1/26007150 What is -3091284 divided by -32886? 94 Divide 6995703 by -23. -304161 -4367882964 divided by 6 -727980494 Calculate 17159732 divided by 67558. 254 Divide -23889 by 909. -7963/303 -47675943 divided by -17 47675943/17 What is 20820 divided by 163? 20820/163 What is -898571 divided by 3? -898571/3 255575232 divided by 120384 2123 Divide 19204 by -3306. -9602/1653 57997755 divided by -5 -11599551 What is -3286800 divided by 15? -219120 Calculate -44477 divided by -15284. 44477/15284 Calculate -4 divided by -10975453. 4/10975453 Calculate 7 divided by -6242739. -7/6242739 Divide 9449160 by 6. 1574860 Calculate 8074700 divided by 2018675. 4 What is 10355210 divided by 609130? 17 What is -17629016 divided by -2? 8814508 -780076 divided by -877 780076/877 What is -10841716 divided by 2710429? -4 What is 677739680 divided by -249169? -2720 Calculate 20208942 divided by -3. -6736314 Divide 7550532 by 6. 1258422 -16961490 divided by 2470 -6867 4 divided by -52915 -4/52915 What is -15408765 divided by -6543? 2355 Calculate 1234 divided by -14765. -1234/14765 What is -6 divided by -1878594? 1/313099 Calculate 272688309 divided by -4671. -58379 36 divided by 1225076 9/306269 -5456198 divided by -2 2728099 Divide 1214 by 22264. 607/11132 Divide 115535 by -16505. -7 Divide 77861 by 172. 77861/172 What is -135315054 divided by 22552509? -6 Divide -5058452 by 17. -297556 -28247657 divided by -23 1228159 16 divided by 207425 16/207425 -138962 divided by 7 -138962/7 Divide 141 by 13744. 141/13744 Divide -43 by -365806. 43/365806 Divide -45307563 by -15102521. 3 Calculate 268802094 divided by -134401047. -2 What is 92352 divided by -226? -46176/113 205 divided by -9758 -5/238 Divide -8459000 by -275. 30760 -4541 divided by 2798 -4541/2798 Calculate -5909102 divided by -2. 2954551 -7176440 divided by -897055 8 Calculate 7885350 divided by -66. -119475 Divide 22588060 by 110. 205346 -126235 divided by 85 -25247/17 Divide -6 by 10124932. -3/5062466 What is 4 divided by -105688? -1/26422 Calculate -39996279 divided by -39996279. 1 -481794 divided by 6 -80299 -312 divided by -187418 156/93709 Divide -62258705 by -231445. 269 18416 divided by 1592 2302/199 What is -5 divided by -136901030? 1/27380206 What is 8165 divided by 11717? 8165/11717 3 divided by -453390 -1/151130 66865 divided by -6206 -66865/6206 -55000272 divided by 1145839 -48 What is 1327976103 divided by 109? 12183267 What is -44 divided by -2972957? 44/2972957 What is -293869356 divided by 6? -48978226 Divide -84771829 by 4. -84771829/4 Divide 9510 by 5. 1902 What is 311672449 divided by -311672449? -1 What is 0 divided by 26506854? 0 Calculate 0 divided by 2055321. 0 Calculate -294 divided by -1007025. 98/335675 -184989795 divided by -5 36997959 Calculate -22164675 divided by -3175. 6981 Divide 1 by 42464804. 1/42464804 Divide -39032595 by 21. -1858695 Calculate -2365772 divided by 27. -2365772/27 Divide -294 by -45882. 49/7647 0 divided by -12114323 0 What is -13797970 divided by 2759594? -5 What is 65123157 divided by 1973429? 33 Calculate 77606555 divided by 15521311. 5 What is 4190 divided by -111086? -2095/55543 What is -35168123 divided by -3? 35168123/3 12305865 divided by -1118715 -11 Divide -216537516 by 616916. -351 Divide -592854 by 8. -296427/4 Divide 15526732 by 298591. 52 -1623 divided by -280 1623/280 Divide 184631967 by 7839. 23553 Calculate 218305620 divided by -780. -279879 What is -16827500 divided by -1060? 15875 What is 28 divided by 277864? 7/69466 Calculate -123238 divided by -2. 61619 Calculate 693058998 divided by 231019666. 3 Divide -2698860 by 4353. -620 Calculate 27301135 divided by -281455. -97 Divide -11349972 by -4. 2837493 Divide 124339225 by 223. 557575 What is 1600524 divided by -7732? -207 -17688840 divided by -897 19720 What is 1327428 divided by 4097? 324 5025172 divided by 1256293 4 Divide 97261668 by -2646. -36758 Divide -28030320 by 14015160. -2 What is 187661028 divided by 99926? 1878 What is -100348768 divided by -1042? 96304 What is -57800436 divided by 4308? -13417 Divide 1199127483 by -50873. -23571 -495936 divided by -27552 18 Divide 1 by -5559490. -1/5559490 Divide 173904390 by -5. -34780878 Divide 1 by 34590561. 1/34590561 What is -66 divided by 10612527? -22/3537509 What is 5961807 divided by 3? 1987269 -323089440 divided by 930 -347408 What is -18381376 divided by 2? -9190688 Divide -60028320 by -181904. 330 What is 13563 divided by -1233? -11 What is -276 divided by 28318? -138/14159 16018047 divided by -27 -593261 Calculate -1 divided by -3048500. 1/3048500 What is 84511 divided by -672? -12073/96 What is -15166444 divided by -43? 352708 Calculate 9712197 divided by -882927. -11 Divide 78480335 by -15696067. -5 27464451 divided by -83 -330897 What is -88961 divided by 15333? -88961/15333 Calculate 24640340 divided by -11590. -2126 Calculate -3423 divided by 42384. -1141/14128 1 divided by 15392987 1/15392987 2467 divided by 18418 2467/18418 Divide 46 by -45617. -46/45617 What is -21 divided by -184584? 7/61528 What is -4279616 divided by -4? 1069904 -2104 divided by -3910 1052/1955 What is 0 divided by 215725? 0 Divide -2812836 by -9633. 292 Calculate 12701340 divided by -2. -6350670 36438856 divided by -844 -43174 93584192 divided by -832 -112481 -17637380 divided by -205 86036 What is -576095068 divided by -4? 144023767 4977 divided by -31159 -4977/31159 What is -151908957 divided by -17? 8935821 -1231 divided by -411985 1231/411985 Calculate 9408788 divided by 2352197. 4 What is -12849716 divided by -22? 584078 What is -32033508 divided by 26? -1232058 -4347752 divided by -2731 1592 Divide 191 by -347883. -191/347883 14017773 divided by -95359 -147 Divide 12582125 by 955. 13175 Divide -630507 by 3. -210169 What is 13968240 divided by 15873? 880 -437608149 divided by -3 145869383 Calculate 635853132 divided by -4. -158963283 Calculate 594239 divided by 1389. 594239/1389 72691540 divided by -18172885 -4 What is -7829478 divided by 13833? -566 Divide 29548278 by -183. -161466 Divide -735 by -7979. 735/7979 Divide 44 by -863425. -44/863425 What is 9063144 divided by -2265786? -4 Divide -51 by 1484017. -51/1484017 What is 40861400 divided by 152? 268825 Calculate 467 divided by -32413. -467/32413 Divide -690057576 by 172514394. -4 -108118947 divided by 3 -36039649 What is -12521844 divided by 1917? -6532 -1315308 divided by -85 1315308/85 104860214 divided by 5 104860214/5 Divide 53648838 by -6. -8941473 What is -83368564 divided by 20842141? -4 Divide -98657886 by -32885962. 3 -61335630 divided by 18 -3407535 Calculate 400475248 divided by 25029703. 16 What is 214909486 divided by -12386? -17351 What is 190562922 divided by -1623? -117414 What is -168 divided by 5813? -168/5813 Divide 4704080 by 2540. 1852 -248604 divided by 62151 -4 -24 divided by 2942319 -8/980773 Calculate 43 divided by 8563. 43/8563 What is 26690124 divided by -6? -4448354 What is 0 divided by 2106780? 0 What is 2 divided by 186194038? 1/93097019 Divide 1 by 37234701. 1/37234701 Calculate -71649 divided by -139. 71649/139 -241 divided by 964635 -241/964635 Calculate 138452 divided by -1161. -138452/1161 Calculate -17 divided by -1930401. 1/113553 Calculate 386443 divided by -56. -386443/56 -301 divided by 74526 -301/74526 37042 divided by 9572 18521/4786 Calculate 92981 divided by 64. 92981/64 What is -276819279 divided by 6? -92273093/2 Divide 2 by 12862235. 2/12862235 -4 divided by 5871960 -1/1467990 What is -6503415 divided by -285? 22819 Divide 0 by 54494936. 0 Divide
{ "pile_set_name": "DM Mathematics" }
d by 756021. 18 What is 2273216735 divided by -5? -454643347 What is 46808412 divided by -23404206? -2 Divide -116268315 by 23253663. -5 Divide 21268408 by -1. -21268408 Calculate 19747564 divided by 6. 9873782/3 What is -586 divided by -39578? 293/19789 What is -10411398 divided by 1735233? -6 What is -31869 divided by 535? -31869/535 Divide -196235 by -209. 196235/209 Divide -102187841 by 5. -102187841/5 -120311184 divided by -6 20051864 108590 divided by -725 -21718/145 What is 69002472 divided by 3? 23000824 -14793 divided by -21586 14793/21586 What is -12 divided by -1230800? 3/307700 What is 83990 divided by -3145? -454/17 Calculate -131219690 divided by -131219690. 1 60655167 divided by -97 -625311 Divide 68 by -139717. -68/139717 42291740 divided by 9 42291740/9 -190071 divided by -2 190071/2 -25009 divided by -529 25009/529 -1786632 divided by -348 5134 Calculate 17198 divided by -24681. -17198/24681 Calculate 2 divided by 41151869. 2/41151869 Calculate 47335847 divided by -1. -47335847 Calculate 65647588 divided by -1. -65647588 Calculate -125596920 divided by 4. -31399230 What is 37116588 divided by 12? 3093049 Calculate 625 divided by -6154. -625/6154 Calculate -9367364 divided by 12358. -758 -4247152 divided by -14 303368 178 divided by -438406 -89/219203 What is 17368982 divided by -5? -17368982/5 26024 divided by 426 13012/213 What is -44816850 divided by 191525? -234 What is -12773655 divided by 5? -2554731 Calculate -6 divided by -1546206. 1/257701 Calculate -4537397 divided by -13. 4537397/13 What is 67 divided by -497100? -67/497100 -9349500 divided by 75 -124660 Calculate 1657 divided by 776180. 1657/776180 What is 43099714 divided by -5567? -7742 Divide 77292600 by 3091704. 25 What is 345290197 divided by 21089? 16373 Calculate 2105514 divided by 123. 17118 Divide 4373460 by -32396. -135 What is -9213 divided by 309? -3071/103 What is 2959856 divided by -43? -2959856/43 What is -1074246 divided by 3? -358082 Divide -376 by -13320. 47/1665 Divide -10600496 by 662531. -16 -21096124 divided by 14 -1506866 What is 32403992 divided by 2? 16201996 -4 divided by -1082619 4/1082619 Calculate -57481545 divided by 9339. -6155 Calculate -4 divided by 11178666. -2/5589333 Calculate 76270 divided by 125. 15254/25 What is 4981550 divided by 199262? 25 What is -10754935 divided by -2? 10754935/2 What is 53 divided by -593537? -53/593537 Calculate -7441047 divided by -6. 2480349/2 What is 34144967 divided by -1? -34144967 What is -855570 divided by -570? 1501 Calculate 51212319 divided by 17070773. 3 Calculate 47372850 divided by -567. -83550 Calculate -16994 divided by -102. 8497/51 What is 4731278 divided by 8? 2365639/4 Divide 5149581 by -5. -5149581/5 Calculate 1148 divided by 25947. 1148/25947 -3287410 divided by 7 -469630 What is 433060388 divided by -1? -433060388 What is 17477622 divided by 2? 8738811 What is -8286248 divided by 2071562? -4 -5377 divided by 136 -5377/136 Divide -1 by 4258742. -1/4258742 What is -875 divided by 42963? -875/42963 Calculate 5 divided by 17762573. 5/17762573 Calculate 3688334 divided by 3688334. 1 What is -123715000 divided by -227000? 545 Calculate 2236344 divided by -3. -745448 What is 1975570910 divided by -5? -395114182 3881016 divided by 24 161709 What is -7529996 divided by -134? 56194 -847539 divided by 165 -25683/5 Calculate -15621660 divided by 12. -1301805 30302 divided by -16 -15151/8 Divide 585192 by -308. -146298/77 Calculate 33028030 divided by -1990. -16597 -56924100 divided by -13050 4362 Divide -408 by 309211. -408/309211 -2 divided by -18383 2/18383 Calculate -193013591 divided by 22031. -8761 -665 divided by 95739 -95/13677 -151250 divided by 218 -75625/109 What is 1 divided by -9256447? -1/9256447 Divide 37238 by -3372. -18619/1686 What is -1017 divided by 1004? -1017/1004 18285353 divided by -56611 -323 What is 29196312 divided by -17868? -1634 -55607519 divided by 196493 -283 What is 61 divided by 1519441? 61/1519441 What is 1429053 divided by -101? -1429053/101 -6508 divided by 63801 -6508/63801 What is -10983600 divided by 30? -366120 Calculate -52 divided by 91142. -26/45571 What is 5 divided by -3946287? -5/3946287 -104 divided by 592303 -104/592303 What is -31788660 divided by -7947165? 4 Divide -1 by -12413944. 1/12413944 What is 99406692 divided by -225412? -441 Divide -44946 by -441. 4994/49 What is 22479124 divided by 3? 22479124/3 Divide -826 by 2377. -826/2377 29 divided by 28356866 29/28356866 Calculate 24904440 divided by -90. -276716 -1734578766 divided by 3 -578192922 What is -188388103 divided by 5? -188388103/5 -879448428 divided by -3 293149476 Calculate 7 divided by 45311624. 7/45311624 Divide 1404520 by 140452. 10 What is -1908905 divided by -3? 1908905/3 What is 9860438 divided by -194? -50827 Divide 438285978 by -2. -219142989 What is -4057516 divided by -2028758? 2 What is -5985057 divided by 19? -315003 What is 31823 divided by 6? 31823/6 Calculate 48360672 divided by -6. -8060112 What is 106367 divided by 27? 106367/27 Calculate -8587776 divided by -192. 44728 Calculate 23497092 divided by 11748546. 2 Divide -3992960 by -46976. 85 Divide 1412753022 by -3. -470917674 47981160 divided by -5020 -9558 Calculate -353672148 divided by -3. 117890716 What is 79 divided by 12883? 79/12883 What is 654951016 divided by -163737754? -4 Calculate -276980 divided by -39. 276980/39 200232 divided by -301 -200232/301 Calculate -17636037 divided by 5878679. -3 -19700 divided by -93 19700/93 Calculate -328379353 divided by 3. -328379353/3 What is 21 divided by -3695197? -21/3695197 856407478 divided by -1776779 -482 What is 199515000 divided by -14100? -14150 Divide 12 by -110. -6/55 Calculate 21 divided by -5040374. -21/5040374 Divide -155677500 by 9435. -16500 Calculate -2 divided by -6420643. 2/6420643 Calculate 12573 divided by 4195. 12573/4195 Calculate -44217307 divided by -1. 44217307 What is -38 divided by 42547? -38/42547 Calculate 8737592 divided by 2184398. 4 -5275236 divided by -12 439603 -3 divided by 386180218 -3/386180218 289 divided by 45860 289/45860 Divide 50736 by -2337. -16912/779 What is 218756634 divided by -6? -36459439 Divide 114 by 437965. 114/437965 61438650 divided by -20479550 -3 -3171731 divided by -46 3171731/46 Divide -517025420 by -11260. 45917 -105085330 divided by 10 -10508533 120 divided by 2495015 24/499003 -70410048 divided by 733438 -96 Divide -210576453 by -3. 70192151 Divide 110198816 by -5822. -18928 What is 277735660 divided by -69433915? -4 Calculate 23547015 divided by 60845. 387 What is 18457440 divided by -60? -307624 What is -21789 divided by -116? 21789/116 Calculate 1259 divided by -8569. -1259/8569 Calculate 12815565 divided by 2563113. 5 Calculate 0 divided by -2072489. 0 What is -64 divided by 888065? -64/888065 3 divided by -24202215 -1/8067405 Divide 2 by -1779023. -2/1779023 What is 1326643981 divided by 102049537? 13 Divide -25731080 by 643277. -40 What is -163438560 divided by -567495? 288 What is 32745144 divided by -5457524? -6 -8347136 divided by 30688 -272 Calculate 143538248 divided by -732338. -196 Calculate 5 divided by 18653791. 5/18653791 Calculate -42464850 divided by 566198. -75 Divide -460010 by -10. 46001 Divide 14520 by -726. -20 What is -249042604 divided by -4? 62260651 What is -267897465 divided by -27519? 9735 Calculate -134 divided by -2232908. 67/1116454 Calculate -1427723039 divided by 4. -1427723039/4 Divide -181439243 by -1. 181439243 What is -10087753 divided by -12721? 793 What is -3959660 divided by 116? -34135 4 divided by 4407665 4/4407665 What is -20442 divided by 19804? -10221/9902 Calculate 569426322 divided by -3. -189808774 -244830850 divided by -120310 2035 What is -2884992 divided by 360624? -8 What is 107597 divided by -2333? -107597/2333 What is -130302525 divided by -130302525? 1 Calculate -368304035 divided by -55. 6696437 Divide -1955850 by 650. -3009 What is 0 divided by -2908631? 0 What is 22196733 divided by -12311? -1803 What is 481357620 divided by -73? -6593940 Divide -2 by -47640016. 1/23820008 What is -45886756 divided by 1? -45886756 Calculate -9031663 divided by -1. 9031663 Calculate 2829096 divided by 9. 314344 -49497195 divided by 9899439 -5 2724970 divided by 8
{ "pile_set_name": "DM Mathematics" }
t b(l) be the third derivative of -l**7/105 + 7*l**5/5 + l**4/8 + 31*l**3/6 - 4*l**2 + 16. Find the second derivative of b(o) wrt o. -24*o**2 + 168 What is the second derivative of -939*y - 39 - y**5 - 7*y**3 + 1878*y - 934*y wrt y? -20*y**3 - 42*y Let v(u) = -174*u - 315. Let t(y) = -6*y - 6*y - 45 - 4*y - 9*y. Let g(z) = -27*t(z) + 4*v(z). Differentiate g(h) with respect to h. -21 Let v(b) be the third derivative of 0*b + 0*b**4 - 26*b**2 - 11/20*b**5 + 0 - 29/6*b**3. Differentiate v(s) wrt s. -66*s Let t(a) be the second derivative of 0*a**4 + 8*a**2 + 1/10*a**5 - 3/10*a**6 + 0*a**3 - 36*a + 0. Differentiate t(w) with respect to w. -36*w**3 + 6*w**2 Let i = 10 + -10. Let v(w) be the first derivative of 4 - 1/3*w**3 + 3*w**2 + i*w. Find the second derivative of v(u) wrt u. -2 Find the second derivative of 178*d - 50*d**3 + d**2 + 6*d**3 - 65*d**3 wrt d. -654*d + 2 Suppose -6 = k - 3*k + 3*m, -3*k - 4*m + 9 = 0. Find the first derivative of 6*a**k + 705*a**2 - 705*a**2 - 6 wrt a. 18*a**2 Find the first derivative of 509*q - 509*q - 221 + 71*q**2 wrt q. 142*q Let d(p) = -19*p**3 + 10. Let s(v) = 19*v**3 - 11. Let z be 5/((-2)/(-2)) + 0. Let x(r) = z*d(r) + 6*s(r). What is the first derivative of x(f) wrt f? 57*f**2 Let b(j) = 149*j**2 - 15. Let n(r) be the first derivative of -37*r**3/3 + 4*r - 11. Let y(v) = -2*b(v) - 9*n(v). Find the first derivative of y(s) wrt s. 70*s Let m(g) be the third derivative of -109*g**5/60 - 131*g**4/24 - 2*g**2 - 5. Find the second derivative of m(z) wrt z. -218 Let b = 33 - 23. Suppose 5*x = b, 2*x - 6 = -u - x. What is the second derivative of u*y**4 - 3*y - 9*y**4 + 4*y wrt y? -108*y**2 Let o(a) be the third derivative of 113*a**5/60 + 8*a**4/3 - a**3/6 - 32*a**2. Find the second derivative of o(r) wrt r. 226 Let l(p) = -41*p**4 - p**2 + 28*p - 6. Let i(t) = -40*t**4 - t**2 + 27*t - 5. Let k(z) = -6*i(z) + 5*l(z). What is the second derivative of k(n) wrt n? 420*n**2 + 2 Let m = -4 + 6. Suppose 0 = 2*g - 6*g + 12. What is the third derivative of 5*a**2 + g*a**6 - 2*a**6 - 2*a + m*a wrt a? 120*a**3 Let i(a) = 17*a**2 + 13*a + 52. Let m(l) = 9*l**2 + 6*l + 26. Let s(f) = 6*i(f) - 13*m(f). Differentiate s(p) with respect to p. -30*p Let j be 8/20 + 18/5. Let d be (-6)/j*(-2 + 0). Differentiate 8 + 6*n**3 + 6*n**d - 6*n**3 with respect to n. 18*n**2 Suppose 4*r = l - 0*r - 16, -2*l - 4*r - 4 = 0. Suppose 21 + 0 = 7*p. Differentiate 0*a**3 + a**3 - l*a**3 + 6 - 2*a**p with respect to a. -15*a**2 Let v(s) = -6*s**3 + 13*s**2 + 101. Let h(q) = 19*q**3 - 40*q**2 - 304. Let x(l) = -2*h(l) - 7*v(l). What is the derivative of x(d) wrt d? 12*d**2 - 22*d Let c(w) = -4*w**3 + 69*w + 250. Let v(u) = -3*u**3 + 46*u + 167. Let d(a) = 5*c(a) - 7*v(a). Differentiate d(j) with respect to j. 3*j**2 + 23 Let u(n) = -237*n**5 - 5*n**3 - 8*n + 7. Let s(i) = 119*i**5 + 2*i**3 + 4*i - 4. Let q(a) = -5*s(a) - 2*u(a). Find the second derivative of q(l) wrt l. -2420*l**3 Suppose 4*y = l + 19, 4*l - 29 = -3*y - 2*y. Suppose 0 = -5*c + m + 6, -2*c - 3*c = y*m - 30. What is the third derivative of 0 + 3*q**4 + 7*q**c - 9 + 9 wrt q? 72*q What is the third derivative of -3*v**3 - 569*v**5 + 21*v - 2*v**2 + 575*v**5 + 0*v**2 wrt v? 360*v**2 - 18 Differentiate -64*a**3 - 40 - 5*a**4 + 27*a**3 + 38*a**3 wrt a. -20*a**3 + 3*a**2 Let z(d) be the first derivative of -d**3 + 2*d**2 + 34*d + 69. Find the first derivative of z(o) wrt o. -6*o + 4 Let b(i) = 593*i**2 + 934*i - 14. Let a(q) = 297*q**2 + 465*q - 8. Let g(w) = -7*a(w) + 4*b(w). What is the second derivative of g(l) wrt l? 586 What is the second derivative of 34 + 9*f + 8*f - 2*f**2 - 16*f + 0*f wrt f? -4 Suppose 0 = 26*w - 23*w - 6. Find the third derivative of -3*i**2 - 17*i**3 + 4*i**w - 2*i**2 wrt i. -102 Let x = 25 + 3. Let z = 31 - x. What is the third derivative of 12*l**z + l**2 - l**2 - 3*l**2 - 6*l**2 wrt l? 72 Let d = -15 - -11. Let g = d + 8. Find the third derivative of -2*n**4 + 6*n**2 + g*n**2 + 10*n**4 - 2*n**2 wrt n. 192*n Let q(v) = v**2 + 6*v + 4. Let y be q(-6). Differentiate -y*b**3 - 1 - 16 + 5 + 0*b**3 wrt b. -12*b**2 Suppose o + 2*o + 51 = -3*y, 0 = -5*o + 2*y - 50. Let h = o + 15. Find the second derivative of 3*d**3 - d**2 + 2*d**h + 8*d + d**2 wrt d. 30*d Differentiate h**3 - 13 + 2*h**3 - 716*h + 682*h with respect to h. 9*h**2 - 34 Let x(o) be the second derivative of -35*o**6/3 + o**5/20 + o**4/4 + 73*o**3/2 - 1065*o. What is the third derivative of x(l) wrt l? -8400*l + 6 Let j(k) be the second derivative of -7*k**6/144 - k**5/24 - 7*k**4/2 + 18*k. Let y(x) be the third derivative of j(x). Find the first derivative of y(d) wrt d. -35 Let r(q) be the second derivative of -q**7/315 + q**5/15 + 7*q**4/3 - 12*q. Let w(h) be the third derivative of r(h). What is the derivative of w(i) wrt i? -16*i Let b(x) be the second derivative of -61*x**8/56 - x**4/3 - 2*x**3/3 - 81*x. Find the third derivative of b(r) wrt r. -7320*r**3 Find the second derivative of 46*w + 82*w**2 + 11718 - 11718 wrt w. 164 Suppose 5*j + m - 18 = -0*m, 4 = -2*m. Suppose -7*s + 1 = 2*k - 10*s, k + 4*s = 17. What is the derivative of k + 5*u**2 - j*u + 4*u + 0*u wrt u? 10*u Let z(i) be the second derivative of 3*i**8/2240 - i**5/30 - 2*i**4/3 + 20*i. Let j(p) be the third derivative of z(p). What is the derivative of j(x) wrt x? 27*x**2 Let p(f) = -f. Let t(y) = -165*y**3 - 4*y + 26. Let n(d) = 4*p(d) - t(d). What is the derivative of n(m) wrt m? 495*m**2 Suppose -18*k + 14 = -16*k. Let z be 12/k*77/22. What is the second derivative of -c**2 + 13 - 13 - z*c**2 - 11*c wrt c? -14 Let a(q) = 7*q - 12*q - 19*q**2 + 3 + 9*q + 4*q. Let m(b) = -39*b**2 + 15*b + 5. Let l(f) = -5*a(f) + 3*m(f). Find the second derivative of l(c) wrt c. -44 Suppose -17 = -4*v + 3. What is the third derivative of 52*a**4 + v*a**2 + 50*a**4 - 104*a**4 wrt a? -48*a Find the second derivative of 402*g + 10*g**5 + 145*g**5 - 411*g - 4 wrt g. 3100*g**3 Let w(x) be the first derivative of -41*x**5/20 + 39*x**2/2 - 17*x - 14. Let d(m) be the first derivative of w(m). Differentiate d(v) wrt v. -123*v**2 Let m(o) = o**2 + 13*o + 2. Let c be m(-13). What is the first derivative of -7*j**4 - 8*j**4 + c - 1 wrt j? -60*j**3 What is the second derivative of -782*x**2 + 348 - 353 + 229*x**2 - 46*x wrt x? -1106 Find the second derivative of 166 + 4*a - a**2 - 85 - 83 wrt a. -2 Let c(v) be the second derivative of v**4/3 + 2*v. Let f be c(-1). What is the derivative of -1 - f + 1 + 3*r wrt r? 3 Let p be (-237)/(-4) - (-8)/(-32). Find the third derivative of -59 + p + 24*r**5 + 18*r**2 wrt r. 1440*r**2 Suppose -3*k - o = 4*o - 253, -194 = -2*k + 3*o. Find the third derivative of -6*j**6 + k*j**2 - 56*j**2 + 2*j**6 wrt j. -480*j**3 What is the third derivative of -95*y**4 - 95*y**2 - 11704 + 4*y**6 + 11704 - 57*y**4 wrt y? 480*y**3 - 3648*y Let f = 198 - 193. Let k(q) be the second derivative of 0*q**f + 4*q - 2/15*q**6 + 0*q**4 + 5/2*q**2 + 0 + 0*q**3. Find the first derivative of k(y) wrt y. -16*y**3 Suppose 2*x + 0*x = -4*k + 8, 5*k = 0. What is the first derivative of 11 + 12 + 27*w**x + 4 wrt w? 108*w**3 Let u = -71 - -108. Let y = 22 + 23. What is the derivative of -u + y - 4*h**3 + h**3 wrt h? -9*h**2 Let q(a) = -4*a**3 - 2*a**2 - 3*a - 2. Let g be q(-1). Find the second derivative of -9*i**3 + 27*i**g + 36*i - 49*i wrt i. 108*i Let d = -3 + 10. What is the second derivative of -d*s**3 + 11*s**3 + 2*s**2 + 1 + s - s**2 wrt s? 24*s + 2 Find the second derivative of -2*f**2 + 2*f - 68*f**3 - 30 - 38 - 21*f**3 + 63 wrt f. -534*f - 4 Let d(c) be the second derivative of 19/56*c**8 + 1/12*c**4 + 0*c**3 + 0*c**6 - 19*c + 0*c**2 + 0 + 0*c**5 + 0*c**7. What is the third derivative of d(x) wrt x? 2280*x**3 Let l = 12 + -17. Let m(w) = -w**2 - 7*w - 7. Let v be m(l). What is the third derivative of 8*j**4 - j**4 - 2*j**2 + v*j**2 wrt j? 168*j What is the derivative of 12 + 3*i - 6*i**2 - 23 - 29 wrt i? -12*i + 3 Let a(h) = -h**2 - 3*h + 3. Let q be a(-3). Differentiate -5*f**q + 10*f**3 - 8 - 6*f**3 with respect to f. -3*f**2 Let q be 11/(-2)*(-3 + -1). Let n = q - 19. What is the third derivative of 2*s**2 + 0*s**2 + 7*s**5 - 5*s**5 + n*s**5 wrt s? 300*s**2 Let d(x) be the first derivative of 0*x**5 - 7 + 0*x + 0*x**2 + 0*x**4 + 2/7*x**7 +
{ "pile_set_name": "DM Mathematics" }
*s. Is u composite? True Let z be (-2 - (-2 - 1))*-78. Let j = 131 + z. Is j a prime number? True Let r = 239 - -743. Is r prime? False Let w(v) = -47*v + 3. Is w(-8) prime? True Let w(l) be the second derivative of -3*l**3/2 - l**2/2 + 2*l. Is w(-6) prime? True Suppose 0 = 3*t - 5*t + 8. Suppose -t = v + 5*m + 2, 2*v = m - 12. Is (0 - -2)*(-165)/v a prime number? False Let d = 148 + -84. Suppose -33 - d = -s. Is s composite? False Let s = 0 + 5. Suppose 3 = -3*w, -s*g - w - 2*w + 12 = 0. Is g composite? False Let q = 76 + -40. Suppose 3*n - 2*r - 4 = -0, -5*r + q = 4*n. Suppose n*u = u + 93. Is u a composite number? False Let c be 1/1 - 0 - -119. Suppose -2*l + o = -201, -4*o - c - 66 = -2*l. Let t = l + -54. Is t a composite number? True Suppose 0 = 4*h, 3*g - 3*h - 22 = -7. Suppose -g*k = -3*k - 222. Suppose -2*j - j + k = 0. Is j a prime number? True Let v = -30 - -326. Suppose -2*d = -0*j - 4*j - 150, 0 = -4*d + 4*j + v. Let h = d + -50. Is h a prime number? True Let y(b) = -b**3 + 6*b**2 + b - 1. Let f be y(6). Let x = 336 - 224. Suppose -f*i + x = -c + 5*c, -4*i = -16. Is c a composite number? False Let g(a) = -384*a**2 + 2*a - 2. Let w be g(-3). Is w/(-16) - 1/(-2) prime? False Suppose -2*o + 24 + 242 = 0. Is o prime? False Let w(l) be the second derivative of 0 + 1/6*l**3 + 2*l - 1/6*l**4 + 0*l**2 + 4*l**5. Is w(1) prime? True Let z = -5 + 7. Let l = 37 + -91. Is ((-3)/3 - l) + z a prime number? False Is 6/(-2) - (-474 + (-16)/8) composite? True Let s = 6503 - 3234. Is s prime? False Suppose 125 = 9*h - 8*h - o, -2*h + 246 = -4*o. Is h prime? True Suppose 6*q - q = -5. Let j(u) = -148*u + 1. Is j(q) a prime number? True Suppose 3*f - 432 = -3*s, 0 = -s + 5*f - 16 + 190. Is s a composite number? False Let c = 227 + -100. Is c composite? False Suppose 2*t + t + 72 = 0. Let i = 51 + t. Suppose i = -2*q + 169. Is q composite? False Let b be ((-2)/(-4))/(2/8). Let f(g) = -g**3 + 4 - 4*g + 3*g + b. Is f(0) a prime number? False Let g = -14 - -29. Suppose 39 = -2*v - 5. Is (v - -1)*(-10)/g a composite number? True Let s be ((-2)/(-4))/((-1)/(-4)). Let k be s - (-1 + 1) - -60. Suppose 0 = 5*y - 63 - k. Is y a composite number? True Let a = -144 - -779. Is a prime? False Let i(k) = -2*k + 2. Let m be i(-3). Let u(a) = m*a - 4 - 2 + 5. Is u(3) composite? False Let n(t) = 4*t**2 - 1. Let z be n(-1). Let y = 11 - 7. Suppose -m - z = 0, y*h + 6*m = 3*m + 19. Is h composite? False Suppose -4*h + 3*i = 4, 3*h + 3*i = -2*h + 22. Suppose k - 101 = 3*u - u, h*k - 196 = u. Is k a composite number? False Let p = 59 - -154. Let w = -130 + p. Is w a composite number? False Suppose -970 = -2*x + 7*x. Let b = x + 271. Suppose -2*o + b = 2*t + o, -5*t + 145 = -2*o. Is t a prime number? True Is (1 - (-3 - -1)) + 748 a composite number? False Let h(s) = -s**3 + 2*s**2 - s + 1. Let o be h(1). Is (1/o)/(19/11077) composite? True Suppose -u = -4*d + 4*u + 353, -4 = 4*u. Suppose -c + r = -d - 135, -2*r + 671 = 3*c. Is c a prime number? True Let q(h) be the third derivative of h**6/90 - h**5/40 - h**4/24 - h**2. Let j(t) be the second derivative of q(t). Is j(2) prime? True Let h be 6*(-2)/6*-3. Let y(r) = r**2 + 3*r - 8. Is y(h) a composite number? True Suppose -40 = 4*m - 0*m + 2*y, 4*m = -5*y - 34. Let z = m + 60. Is z prime? False Suppose 3*w - 4*w = -4. Suppose 2*j + j = -w*n - 24, 5*n = -15. Let s(a) = -a**3 + 2*a**2 - 5*a - 5. Is s(j) prime? False Suppose -5*t = 25, -4*t = -0*v + 3*v - 685. Is v prime? False Suppose -27*h + 293 = -26*h. Is h composite? False Let f(a) = a + 12. Let l be f(-10). Suppose -135 = -l*b - b. Is b/(-6)*(-2)/1 a prime number? False Let n(t) = -17*t - 21. Is n(-16) a prime number? True Let j = 544 - 129. Is j a prime number? False Suppose -s + 4*j = -9, 4*s + 4*j + 44 = -0*s. Is (-831)/s + 6/21 a prime number? False Let j = -4 - -11. Suppose 10*g = j*g + 357. Is g composite? True Suppose 3*i = 2*z - 954 - 1606, -6383 = -5*z - i. Is z prime? True Let u(q) = -53*q - 3. Let m be u(-2). Let w = 258 - m. Suppose -3*s = 50 - w. Is s a prime number? False Suppose 25*r = 33*r - 12088. Is r a prime number? True Let w(p) be the third derivative of -p**4/24 - p**3/3 + 3*p**2. Let l be w(-5). Suppose -l*k - 1 = -274. Is k a prime number? False Let f be (0 - -815)*9/15. Is f*4/36*3 prime? True Let z(p) = 10*p**2 + 8*p + 9. Is z(-5) a composite number? True Let x(t) = t**3 - 7*t**2 - 7*t - 2. Let j be x(8). Suppose -1520 = n - j*n. Is n/14 - (-4)/14 a prime number? False Let a(u) = 458*u + 1. Let y be 2/(-5) - 9/15. Let x be a(y). Let w = -120 - x. Is w a composite number? False Suppose -3*h - a + 21 = 2*a, 0 = h + 4*a - 16. Suppose -h*g = -g - 69. Is g a composite number? False Let d be ((-9)/6)/(1/(-14)). Let m(u) = 127*u**2 - u + 1. Let q be m(1). Suppose -4*b + d = -q. Is b prime? True Let d = 24 - 13. Let u be 4266/d + 8/44. Suppose l - 5*l + u = 0. Is l composite? False Let g(m) = -2*m**3 - 13*m**2 + 12*m + 25. Is g(-12) a composite number? True Let w(l) = -l**2 + l - 8. Let v(q) = q + 1. Let o(z) = -6*v(z) - w(z). Let n be o(7). Suppose -2*s - 283 = -3*r - s, 380 = 4*r - n*s. Is r prime? False Let c = -8 - -105. Suppose 7*n = 3*q + 3*n - c, 5*q + 3*n = 152. Is q a composite number? False Let x = -9 + 23. Let k = 81 + x. Is k prime? False Let t = -1849 - -5403. Is t prime? False Let u = 0 + 301. Is u prime? False Let r(p) = 3*p**2 + 3*p - 2. Let h(f) = -2*f**2 - 3*f + 2. Let v(m) = 3*h(m) + 4*r(m). Is v(-5) prime? False Let z be (-2 - (-1 - 0))*7. Let x = z - -11. Is 10/(-15)*(-42)/x a composite number? False Let m(d) = -d**3 - 5*d**2 + 4*d - 8. Let s be m(-6). Suppose 0 = 4*p - s, 3*j - 5*p - 7 = -0*p. Suppose j*v - 59 = 3*a, -1 - 4 = 5*a. Is v composite? True Is (-4)/(-6)*(-1743)/(-14) prime? True Let s be (3 - (-4)/(-2))*0. Let m be (s/(-3))/3 + 461. Let h = m + -306. Is h composite? True Let h = 1 + 0. Let g be (-492)/9 - 4/(-6). Is h/(-2) + g/(-4) a prime number? True Let s(j) = -j**3 - 7*j**2 - 2*j - 1. Let z be s(-7). Let k = 10 + 22. Let o = k - z. Is o prime? True Suppose -1520 = 3*u + 2*u. Let q be u/(-14) + 2/7. Suppose 0 = 4*d - q - 30. Is d a composite number? False Is -681*27/(-33) - 4/22 a composite number? False Let i(a) = 8*a**2 - 4*a + 5. Let j be (-1)/(-1) - (-2 - 3). Is i(j) a prime number? True Let o(m) = 2*m + m + 3*m - 7. Is o(10) composite? False Let f = 237 - 168. Is f a composite number? True Let z(d) = 3*d - 9. Let x be z(7). Suppose -3*q - x = -45. Is q a prime number? True Let t = 3 - 2. Is ((-21)/9)/(t/(-3)) a prime number? True Suppose 5*z = 5115 + 5380. Is z a prime number? True Let w = 7 + -10. Let j be -4*w/6 - 1. Suppose j = -n + 24. Is n a composite number? False Let h be -2 + -2 + 3 + 0. Is h - -125 - 3/(-1) a prime number? True Let b(j) = 7*j**3 - j**2 - 2. Let a be b(2). Suppose -3*i - a = -8*i. Suppose 4*z - 306 = i. Is z a composite number? False Let w = 858 + -227. Is w prime? True Suppose -t - 1614 = -3*t. Is t composite? True Let h = -6 - -46. Let u = h - 9. Is u prime? True Let w(s) = -15*s**2 + 5*s + 1. Let x(a) be the first derivative of 44*a**3/3 - 7*a**2 - 3*a + 1. Let m(o) = 17*w(o) + 6*x(o). Is m(-2) a prime number? False Suppose -8*n - 3639 = -11*n. Is n composite? False Suppose 3*i + 15 = 3*z, 2*z - 3*i - 5 = 2. Let w be ((-52)/z)/(2/(-156)). Is w/9*6/2 a composite number? True Is 853 - 0 - (-6 + 4) - 2 prime? True Let l be (8/(-3))/((-10)/15). Suppose -l*o + 9*o = 20, 0 = -4*f - 2*o + 52. Is f composite? False Suppose 3*r + 6*f - f + 64 = 0, -4*r - 47 = -f. Let b(x) = x**2 + 5*x - 13. Is b(r) a composite number? True Let j(c) = -11*c**3 - 4*c**2 + c - 3. Let o(s) = 10*s**3 + 4*s**2 + 3. Let a(h) = -4*j(h) - 5*o(h). Is a(-2) a composite number? False Let i = 19 - 67. Let z = i + 175. Is z prime? True Suppose -2*r = -10 - 10. Is r a prime number? False Let a = 288 + -160. Is (6/2 + a)*1 a prime number? True Suppose -j + 8 = -5*t, -6 = 5*t - 2*t - j. Let v(m) = -200*m**3 - 2*m**2 - m. Is v(t) prime? True Let s(q) = -23*q - 3. Let g = -13 - -22. Let w = g + -13. Is s(w) composite? False Let u(t) = -t**3 - 13*t**2 - t - 11. Let w be u(-13). Is (w/(-3))/((-10)/3165) prime? True Suppose 416 = 2*c - 470. Is c composite? False Suppose -6*r + 2*r = -8. Suppose 3*w + 3*d - 48 = 219, -r*w - d + 17
{ "pile_set_name": "DM Mathematics" }
) = l**3 + 9*l**2 + 10*l + 95. Give s(-9). 5 Let u(t) = 45*t + 297. Give u(-6). 27 Let u(i) = 114*i**2 - 337*i - 9. Give u(3). 6 Let v(p) = -27*p + 212. Determine v(10). -58 Let x(m) = m**3 - 14*m**2 - 61*m + 1083. Determine x(11). 49 Let r(y) = 3*y**2 + 7*y - 18. Calculate r(-7). 80 Let t(l) = 42*l + 18. What is t(-1)? -24 Let d(f) = -f**2 - 21*f - 174. Give d(-27). -336 Let z(b) = b**3 - 16*b**2 - 142*b + 60. Calculate z(22). -160 Let m(x) = -3*x**2 - 51*x + 108. Give m(2). -6 Let j(g) = -2*g**3 - 13*g**2 - 5*g + 25. What is j(-6)? 19 Let o(v) = -4*v**2 - 3*v + 22. Determine o(-3). -5 Let q(a) = -2*a + 16. Determine q(16). -16 Let w(t) = -96*t + 149. Give w(6). -427 Let b(v) = -18*v**2 - 332*v + 1013. What is b(3)? -145 Let o(f) = -387*f - 1546. Determine o(-4). 2 Let m(x) = 29*x - 985. Give m(27). -202 Let c(v) = -9*v**2 - 25*v - 161. Determine c(-4). -205 Let o(v) = 18*v + 1701. What is o(-96)? -27 Let o(l) = 8*l**2 + 18*l - 18. Calculate o(4). 182 Let u(y) = 69*y - 168. What is u(5)? 177 Let b(x) = 5*x**3 + 51*x**2 - 27*x - 37. Determine b(-11). -224 Let u(a) = 174*a**2 - 5. What is u(1)? 169 Let c(h) = h**3 - 15*h**2 + 23*h + 18. Give c(14). 144 Let m(a) = -a**2 + 11*a - 29. What is m(5)? 1 Let o(q) = 1007*q + 1920. Calculate o(-2). -94 Let d(c) = -c**3 + 12*c - 22. Calculate d(5). -87 Let d(m) = -5*m**3 - 40*m**2 - 35*m + 6. Give d(-7). 6 Let q(k) = 4*k**3 - 18*k**2 - 21*k + 68. Determine q(5). 13 Let k(u) = -379*u - 3041. What is k(-8)? -9 Let t(v) = -3*v**3 - 72*v**2 - 130*v + 60. What is t(-22)? 16 Let h(q) = 44*q - 7. Give h(1). 37 Let k(n) = 31*n + 432. Calculate k(-14). -2 Let b(w) = w**3 - 19*w**2 - 14*w - 143. Give b(20). -23 Let w(d) = -2*d**2 + 29*d + 191. Give w(-5). -4 Let o(f) = -924*f + 931. What is o(1)? 7 Let c(q) = q**3 - 89*q**2 + 130*q - 3706. What is c(88)? -10 Let n(z) = z**2 - 44*z + 727. Give n(29). 292 Let y(b) = -b**3 - 13*b**2 - 4*b - 97. Give y(-13). -45 Let n(a) = 90*a + 2262. Give n(-25). 12 Let y(a) = 1850*a + 98046. Give y(-53). -4 Let n(f) = 7*f**2 - 1024*f - 1024. What is n(-1)? 7 Let b(i) = -i**3 + 16*i**2 - 19*i + 9. Calculate b(15). -51 Let f(l) = -340*l + 215. Determine f(-1). 555 Let z(t) = 2*t**2 - 24*t - 1273. Give z(32). 7 Let r(k) = -k**2 - 84*k - 469. Determine r(-6). -1 Let k(p) = p**3 + 55*p**2 + 64*p + 300. Give k(-54). -240 Let w(i) = -47*i + 156. Calculate w(5). -79 Let q(s) = -s**3 + 76*s**2 + 586*s - 405. Calculate q(83). 10 Let g(n) = -n**3 + 2*n**2 - 310*n + 2411. Determine g(7). -4 Let t(p) = p**2 - 65*p + 671. Give t(47). -175 Let l(w) = -69*w + 726. Give l(14). -240 Let p(x) = -x**3 - 51*x**2 - 247*x - 235. Determine p(-4). 1 Let o(s) = s**3 + 34*s**2 + 257*s - 131. Give o(-22). 23 Let j(f) = -3*f**2 - 108*f + 153. What is j(-38)? -75 Let n(m) = 4*m**3 - 33*m**2 + 24*m + 180. Calculate n(6). 0 Let v(g) = -4*g**3 + 46*g**2 + 14*g - 426. Determine v(11). -30 Let p(k) = k**3 + 5*k**2 + 20*k + 41. Calculate p(-4). -23 Let w(t) = -t**3 + 60*t**2 + 191*t + 2. Give w(-3). -4 Let f(m) = 21*m - 552. Determine f(17). -195 Let t(a) = 2*a**3 + 22*a**2 - 240*a + 35. What is t(-19)? -1181 Let s(a) = 4*a**2 + 283*a + 4977. Calculate s(-38). -1 Let o(q) = -2*q**3 - 66*q**2 - 3*q - 96. Determine o(-33). 3 Let h(v) = -v**3 - 26*v**2 + 80*v - 216. Give h(-29). -13 Let c(g) = 50*g**3 - 302*g**2 + 7*g + 21. Determine c(6). -9 Let l(p) = -p**3 - 12*p**2 - 20*p - 41. Give l(-11). 58 Let v(z) = z**2 - 26*z - 967. Give v(47). 20 Let x(b) = 45*b**2 + 16*b + 25. What is x(-4)? 681 Let g(f) = -47*f + 36. Calculate g(4). -152 Let m(u) = -u**3 + 3*u**2 + 7*u - 24. Calculate m(2). -6 Let b(v) = -9*v**2 + 7*v + 8. Give b(-3). -94 Let k(o) = -2150*o - 6457. Calculate k(-3). -7 Let h(j) = -j**3 + 10*j**2 - 22*j + 100. What is h(6)? 112 Let k(t) = -11*t**3 + 56*t**2 - 25*t + 96. Calculate k(5). -4 Let i(d) = 415*d - 105001. Determine i(253). -6 Let k(i) = -i**2 + 87*i + 136858. What is k(416)? -6 Let l(r) = -3*r**3 - 3*r**2 - 369*r + 739. Calculate l(2). -35 Let h(t) = t**3 - 21*t**2 - 332*t + 7040. Determine h(20). 0 Let x(l) = 3*l**3 + 13*l**2 + 39*l + 38. What is x(-2)? -12 Let m(h) = 6*h - 15. What is m(12)? 57 Let p(x) = 19*x**2 - 570*x + 3. Calculate p(30). 3 Let c(k) = -38*k - 976. What is c(-33)? 278 Let i(w) = 129*w + 805. Calculate i(-6). 31 Let z(h) = 9*h**2 - 756*h - 3066. What is z(-4)? 102 Let g(r) = -34*r - 1097. What is g(-32)? -9 Let u(b) = -b**2 + 21*b - 130. Give u(13). -26 Let u(v) = -20*v + 1792. What is u(93)? -68 Let k(w) = -86*w + 1127. Give k(18). -421 Let j(u) = -63*u - 63. Determine j(-1). 0 Let t(b) = -71*b - 1060. Determine t(-16). 76 Let l(f) = -17*f**3 - 15*f**2 + 66*f + 2. Determine l(3). -394 Let s(n) = -2*n**3 + 2*n**2 + 57*n + 20. Give s(-5). 35 Let b(l) = l**3 - 12*l**2 - 9*l + 114. Give b(7). -194 Let q(y) = -y**3 + 15*y**2 + 22*y + 36. Calculate q(16). 132 Let d(r) = r**3 - r**2 - 64*r + 194. Calculate d(6). -10 Let m(q) = q**3 - 33*q**2 - 105*q - 164. Determine m(36). -56 Let g(o) = 3463*o - 3448. What is g(1)? 15 Let y(f) = -12*f**3 + 2*f**2 - 27*f - 29. Give y(-1). 12 Let c(a) = a**2 - 72*a - 3886. Determine c(-36). 2 Let s(o) = o**3 - 29*o**2 + 82*o - 108. What is s(26)? -4 Let c(d) = -d**3 + 22*d**2 + 12*d - 265. Give c(22). -1 Let a(s) = -s**3 + 88*s**2 + 45*s + 3946. Calculate a(89). 30 Let o(m) = m**3 + 34*m**2 + 59*m - 84. Determine o(-32). 76 Let d(i) = -i**2 + 49*i + 377. Determine d(53). 165 Let v(h) = 311*h - 2887. Calculate v(9). -88 Let t(m) = -m**3 + 69*m**2 - 264*m + 259. What is t(65)? -1 Let o(f) = 72*f + 277. Give o(-4). -11 Let a(t) = t**3 + 8*t**2 + 361*t + 3308. Give a(-9). -22 Let v(u) = 26*u - 640. Give v(7). -458 Let f(k) = -72*k + 383. Calculate f(-5). 743 Let a(y) = -19*y**2 + 1391*y - 376. Determine a(73). -84 Let z(d) = -2*d**3 - 6*d**2 + 12*d + 10. Calculate z(4). -166 Let v(z) = -z**3 + 19*z**2 + 33*z - 606. Calculate v(19). 21 Let f(q) = 2*q**3 + 156*q**2 + 158*q + 299. What is f(-77)? -9 Let p(q) = q**3 + 19*q**2 + 14*q - 21. What is p(-18)? 51 Let z(d) = 56*d + 815. What is z(14)? 1599 Let d(p) = -86*p + 6. Give d(0). 6 Let o(q) = 27*q - 3089. Determine o(114). -11 Let g(b) = -b**3 + 16*b**2 + 338*b - 5426. Determine g(18). 10 Let v(u) = -196*u - 9832. Determine v(-50). -32 Let u(y) = -6*y**2 - 9*y + 25. What is u(-7)? -206 Let d(l) = 4*l**2 + 25*l - 57. Determine d(5). 168 Let n(j) = -340*j - 6111. Give n(-18). 9 Let u(a) = a**2 - 55*a - 19. Determine u(51). -223 Let b(d) = -17*d - 173. Give b(-9). -20 Let t(o) = -o**3 + 15*o**2 - o - 52. Give t(14). 130 Let k(o) = -o**2 + 9*o - 38. Give k(5). -18 Let z(h) = 6*h**2 + 6*h - 8. Calculate z(-5). 112 Let q(s) = -93*s - 311. Determine q(-3). -32 Let g(p) = p**3 - 21*p**2 + 10*p + 211. Calculate g(20). 11 Let w(z) = -z**3 - 26*z**2 + 34*z + 1458. Calculate w(-25). -17 Let s(t) = t**2 - t + 39. Determine s(5). 59 Let m(j) = -1330*j - 13295. What is m(-10)? 5 Let f(n) = -n**2 - 24*n - 71. Calculate f(-24). -71 Let c(j) = -11*j - 678. Give c(-80). 202 Let w(i) = -8*i**3 - 23*i**2 - 41*i - 1. Give w(-2). 53 Let v(l) = 3*l**3 + 9*l**2 + 9*l + 8. Give v(-2). 2 Let v(z) = -z**2 + 105*z - 209. Determine v(2). -3 Let z(u) = 51*u - 960. Determine z(16). -144 Let q(m) = -3*m**2 + 122*m + 20. Calculate q(41). -21 Let a(b) = -b**3 + 93*b**2 + 189*b + 91. What is a(95)? -4 Let f(o) = 13*o**2 + 7*o + 774. Calculate f(0). 774 Let o(r) = -6*r**2 - 55*r - 339. What is o(-9)? -330 Let f(a) = -15*a**2 + 622*a + 43. Give f(42). -293 Let j(n) = -29*n**2 + 14*n + 50. Give j(-3). -253 Let x(c) = 3*c**2 + 397*c - 395. Calculate x(1). 5 Let d(b) = -44*b + 733. Calculate d(16). 29 Let m(s) = 6*s + 382. Determine m(-51). 76 Let z(p) = 1751*p + 7002. Give z(-4). -2 Let w(g) = -g**3 - 73*g**2 + 386*g - 333. Determine w(-78). -21 Let b(z) = z**3 + 11*z**2 - 12*z - 9. Calculate b(-5). 201 Let g(h) = 30*h + 178. Determine g(-1). 148 Let v(l) = l**2 + 26*l - 106. Determine v(-20). -226 Let y(x) = x**3 - 19*x**2 - 72*x. What is y(-4)? -80 Let o(q) = 203*q + 432. What is o(-2)? 26 Let i(w) = -81*w - 186. Give i(-2). -24 Let p(x) = 25*x + 16. Calculate p(-4). -84 Let r(g) = 29*g**3 - 233*g**2 + 22*g - 112. Determine r(8). 0 Let a(b) = 1692*b - 27075. Give a(16). -3 Let h(k) = k**3 + 80*k**2 + 1536*k + 2. What is h(-48)? 2 Let q(n)
{ "pile_set_name": "DM Mathematics" }
k**a - 24*k - 5*k**2 + 24*k wrt k. 360*k Suppose k = 6*k - 25, 3*k = -4*l + 35. Suppose 4 = -l*t + 19. What is the second derivative of -7*f**3 + 6*f + f**t - 2*f**3 wrt f? -48*f Let d(b) be the second derivative of 0*b**6 - 1/12*b**4 + 139/6*b**3 + 0*b**2 + 27 + 17/21*b**7 - b + 0*b**5. What is the second derivative of d(q) wrt q? 680*q**3 - 2 Let q(c) be the first derivative of -512*c**3 + 5419*c - 4920. Differentiate q(g) wrt g. -3072*g Let b(y) = -7672*y**3 + 14*y**2 - 860*y. Let q(r) = 7673*r**3 - 12*r**2 + 849*r. Let a(n) = 6*b(n) + 7*q(n). What is the second derivative of a(u) wrt u? 46074*u Let i(a) be the first derivative of 0*a**2 + 0*a**3 - 32 + 0*a**4 + 3/5*a**5 + 48*a. Find the first derivative of i(t) wrt t. 12*t**3 What is the derivative of -1364*d**4 - 938 + 10*d**2 + 8*d**2 + 2764 - 18*d**2 wrt d? -5456*d**3 Suppose 5*u = 0, 4*v - 3*u = -u + 12. Let r be 2*(8 + -4 - v). What is the first derivative of 12*t + 9*t**3 - 5*t - 7*t + r wrt t? 27*t**2 Let p(r) be the first derivative of -r**4/4 - r**3/3 - r - 68. Let a(v) = 59*v**3 + 3*v**2 - 47. Let x(i) = -a(i) - 3*p(i). Differentiate x(u) wrt u. -168*u**2 Let x(q) = 282*q - 107. Let j(t) = -2. Let g(o) = 279*o - 102. Let f(d) = -g(d) - 3*j(d). Let b(i) = -3*f(i) - 2*x(i). Differentiate b(p) with respect to p. 273 Let a(x) = x**2 - 9*x + 22. Let z be a(6). Suppose 3*u - i = z, -4*i + 2*i = -4. Find the second derivative of 6 - 10*m + 6*m - 38*m**u - 6 wrt m. -76 Suppose 6*v = 11*v - 20. Let a = 8 - v. Differentiate -55 + 4*b**a + 2*b**4 + 39 with respect to b. 24*b**3 Let i(b) = -2*b - 10. Let y be i(-7). Suppose y*s - c - 13 = 0, 0 = 2*s - 3*c - 8 - 1. Find the first derivative of -s*l + 0 - 6 + 1 + 3 wrt l. -3 What is the third derivative of -10*t**4 - 1440*t**4 - 1254*t**4 - 56*t**4 + 0 + 8*t**2 + 5 wrt t? -66240*t Let p(t) be the first derivative of -15*t**4/4 - t**3/3 - 10*t**2 + 4321*t - 6662. Differentiate p(d) wrt d. -45*d**2 - 2*d - 20 Let l = -397 - -492. Differentiate -20*s - 53*s - 22*s - l with respect to s. -95 Let l(f) be the second derivative of 11*f**6/30 - 34*f**5/5 - f**4/6 + 10*f**3/3 - 11*f**2/2 + 5230*f. What is the third derivative of l(i) wrt i? 264*i - 816 What is the derivative of 530*r**3 - 2859*r**3 - 2841 - 1082*r**2 + 2*r + 536*r**2 + 546*r**2 wrt r? -6987*r**2 + 2 Let m(h) be the second derivative of -36*h + 1/6*h**3 + 0*h**6 + 44/21*h**7 + 0 + 0*h**5 - 13/2*h**2 + 0*h**4. What is the second derivative of m(k) wrt k? 1760*k**3 Let r(p) be the second derivative of 0*p**2 + 25/6*p**3 - 29/12*p**4 + 123*p + 0. Find the second derivative of r(k) wrt k. -58 Let s(o) be the first derivative of 14 - 12*o**3 + 39/4*o**4 + 0*o + 0*o**2. Find the third derivative of s(i) wrt i. 234 Let l(a) be the third derivative of -19*a**9/72 - a**8/336 - 25*a**5/3 + 554*a**2 + 2*a. Find the third derivative of l(r) wrt r. -15960*r**3 - 60*r**2 Let i(r) = 2 - 2*r**3 + 16*r**2 - 15*r**2 + 3*r - 16*r**3. Let p be i(-1). What is the third derivative of -6*f - p*f**2 + 12*f - 6*f - 3*f**6 wrt f? -360*f**3 Let m(x) be the second derivative of 1324*x**3/3 + 2217*x**2/2 + x + 28. Differentiate m(u) with respect to u. 2648 Let v = 357 + -353. What is the third derivative of -r**3 + 23*r**v - 36 + 22 + 8*r**2 - 13*r**4 + 13*r**4 wrt r? 552*r - 6 Let v(b) = 8*b + 66. Let p be v(-7). What is the derivative of -38*x**3 + 3*x**3 - p - 3*x**3 wrt x? -114*x**2 Let i = -1416 + 2035. Let a = -392 + i. What is the first derivative of 8*u - a - 221 + 443 wrt u? 8 Let v(n) = 2294*n**3 - 4*n + 868. Let t(k) = -6881*k**3 + 11*k - 2602. Let z(u) = -4*t(u) - 11*v(u). Find the first derivative of z(f) wrt f. 6870*f**2 Let c(t) be the third derivative of -949*t**6/120 - 601*t**5/60 + 2*t**2 - 158. What is the third derivative of c(r) wrt r? -5694 Let a = 443/14 - 183/7. Let w(r) be the first derivative of 0*r - 13 - a*r**2 - 11/3*r**3. Find the second derivative of w(v) wrt v. -22 Let w = -26 + 31. What is the third derivative of 23*p**w + 2*p**3 - 56*p**2 - 54*p**2 + 29*p**2 wrt p? 1380*p**2 + 12 Suppose 0*x = -7*x + 21. Find the third derivative of -24*m**x - 12*m**2 - 28*m**2 - 20*m**2 wrt m. -144 Let y(g) = 11642*g**2 - 93*g - 401. Let t(b) = 11644*b**2 - 79*b - 401. Let n(s) = -7*t(s) + 6*y(s). What is the second derivative of n(v) wrt v? -23312 Let c(z) be the second derivative of -309*z**5/20 - 869*z**3/6 + 78*z + 3. What is the second derivative of c(p) wrt p? -1854*p Let q(y) = 0*y**2 - 3 - y**2 + y + 3 + 4. Let x be q(0). Find the third derivative of p**6 + 13*p**2 + 10*p**2 - x*p**2 + 3*p**6 wrt p. 480*p**3 Let a(r) = r**2 + 5*r + 2. Let j be a(0). What is the second derivative of 0 + 1 + 42*z**j - 4 + 5 + 5*z**2 - 58*z wrt z? 94 Let l be 546/(-54) - (-2)/18. Let p(j) = j + 15. Let b be p(l). What is the second derivative of 23*o**b - 6*o**5 + 0*o**5 + 5*o wrt o? 340*o**3 Differentiate -72 - 365*n + 49 + 1819*n - 107 wrt n. 1454 Let a(s) be the third derivative of 209*s**5/30 - 7993*s**4/24 + 2*s**2 - 19*s + 18. Find the second derivative of a(r) wrt r. 836 Let i(d) = 515*d**3 - 270*d**2 - 4*d + 4. Let c(w) = -2*w**2 + w - 1. Let k(g) = -4*c(g) - i(g). What is the third derivative of k(n) wrt n? -3090 Suppose -17*a - 9*a = -2392. Find the second derivative of 9*r + a*r**2 - 16 - 7*r - 4 - 3*r wrt r. 184 Let o be (20/(-26))/(675/117 + -6). Let c(l) be the first derivative of -11 + 0*l**2 + 18*l - o*l**3. What is the first derivative of c(v) wrt v? -20*v What is the third derivative of 58 + 58 - 4374*d**2 + 352*d**3 - 116 - 1945*d**2 wrt d? 2112 Let k(c) be the second derivative of 0*c**6 - 6*c + 0*c**5 + 0 + 139/56*c**8 + 47/6*c**4 + 0*c**2 + 0*c**3 + 0*c**7. What is the third derivative of k(m) wrt m? 16680*m**3 What is the third derivative of -v**2 - 113*v + 889386 - 889386 + 286*v**6 wrt v? 34320*v**3 Let f = -17 - -21. Find the third derivative of 0*z**2 + 10*z**4 + 19*z**2 + z + 8*z**3 + f*z**3 - 7*z**3 wrt z. 240*z + 30 Find the second derivative of 49 + 7965*m**2 - 22 - 21 - 170*m - 6736*m**2 wrt m. 2458 Let n be 5 - 0*(-1)/3. Let s be n - (3 - 0) - -1. Find the third derivative of -25*v**2 + 9*v**2 - s*v**6 + v**5 - v**5 wrt v. -360*v**3 Let c = 4 + -106. Let p = c - -117. Differentiate 6 - p*w**2 + 13 + 11 - 29 wrt w. -30*w Let x(o) = 1269*o**3 + 43*o**2 + 8*o - 54. Let z(n) = -635*n**3 - 22*n**2 - 5*n + 24. Let h(c) = 4*x(c) + 9*z(c). What is the third derivative of h(q) wrt q? -3834 Suppose -3*s = -4*o - 224 + 6, -o + 208 = 3*s. What is the second derivative of 15*w**3 - 79*w**3 - s - w + 52 wrt w? -384*w Differentiate -689 - 30143*x - 446 + 366*x**2 + 30146*x wrt x. 732*x + 3 Suppose 17 = 15*d - 28. Differentiate 3*g + 113 + g**3 - 94 - d*g - 5*g with respect to g. 3*g**2 - 5 Let l be 13/3 + (-18)/54. Suppose 0 = 5*t - l*t. Differentiate 8 + t + 0*u + 8*u - 6*u wrt u. 2 Let b = -32 - -35. Let q(i) = -5*i - 3 + 1 + 6 + 1518*i**b - 1524*i**3. Let r(y) = -y**3 - y. Let w(v) = q(v) - 5*r(v). Differentiate w(m) with respect to m. -3*m**2 Find the third derivative of 11660*z**2 + 312*z**4 + 294*z**4 + 17*z**5 - z**3 - 580*z**4 - 6*z**5 wrt z. 660*z**2 + 624*z - 6 Let d be 5/(-120)*4*(-33)/12. Let g(k) be the third derivative of -6*k**2 - d*k**4 + 0*k - 8/3*k**3 + 0. Differentiate g(l) wrt l. -11 Suppose 131*r = 130*r - k + 158, -134 = -r + 5*k. Find the second derivative of -703*q**5 + 636*q**5 - r*q + 2*q**4 + 0*q**4 wrt q. -1340*q**3 + 24*q**2 Suppose -8 = -4*d + 40. Let p = -8 + d. Find the second derivative of -3*y**4 + 7*y + 7*y**p + y**4 + 4*y**4 wrt y. 108*y**2 What is the derivative of 2*r**2 + 347 + 3015*r - 2176*r + 117 wrt r? 4*r + 839 Let a(c) be the first derivative of 12*c**3 - 11*c - 33 + 16 + c + 24*c**3 + 25. What is the derivative of a(m) wrt m? 216*m Let x(n) = -7*n**3 + 3124*n**2 + 1360*n - 4. Let j(l) = 3*l**3 - 1563*l**2 - 679*l + 2. Let d(c) = -5*j(c) - 2*x(c). Find the second derivative of d(g) wrt g. -6*g + 3134 Suppose 3*a + 471 = -456. Let j = -131 - a. Differentiate 7 - j*y**4 + 161*y**4 - 3 with respect to y. -68*y**3 Suppose -12 = -8*i + 5*i. Let b(x) be the first derivative of -9 - 5*x - i*x**3 + 37*x - 21*x. Differentiate b(m) wrt m. -24*m Differentiate -666 - 404*m**3 + 1300 - 298*m**3 + 1132 with respect to m. -2106*m**2 Let b be (68/42)/((-36)/
{ "pile_set_name": "DM Mathematics" }
ascending order. w, 2, 4, 35 Let l = 5 - 3. Let n = -1.87 + 0.67. Let o = 3.8 - n. Sort -3/5, l, o. -3/5, l, o Let h = -5.9 - -6. Let y = -1.1 + h. Let w = 1 + 12. Sort 4, y, w in increasing order. y, 4, w Let v = 4227.069 + -4221. Let k = v + -0.069. Put k, -2, 2/5 in ascending order. -2, 2/5, k Let l = -677.4 - -677. Sort 0.03, -4, l, -0.5. -4, -0.5, l, 0.03 Suppose -y + 5 = 7. Let a = -420 - -419.8. Sort y, 7, a in decreasing order. 7, a, y Let o be (-3)/(-12)*(1 - (6 + -2)). Sort o, 11, 4, -0.1. o, -0.1, 4, 11 Let p be (-6)/28 - 4/14. Let r = -163 + 159. Put p, r, 12 in increasing order. r, p, 12 Let b = 0.07 - 0.09. Let w(d) = d + 1. Let v be w(-3). Put v, -0.4, b in ascending order. v, -0.4, b Suppose -5*u + 10*u - 55 = -5*x, 4*u + 5*x - 47 = 0. Suppose 0 = -3*o - o - u. Put -5, o, 5 in decreasing order. 5, o, -5 Suppose 0 = -3*n + 2*o + 4, -3 = 5*n + 4*o + 5. Let h(p) = 3*p - 34. Let w be h(9). Put 1, w, n in ascending order. w, n, 1 Let k = -1.7 + 1.89. Let w = -0.29 + k. Put w, -2, -5/4 in descending order. w, -5/4, -2 Let p be (8*2/(-460))/((-18)/(-15)). Put 3, -2/5, p in descending order. 3, p, -2/5 Suppose 4*d - w = -0*d + 4, 0 = 3*d - 2*w - 3. Suppose f + 5*o = 13, -5*f - o - 3*o + 2 = 0. Put f, -1, 16, d in decreasing order. 16, d, -1, f Suppose -80 = 5*w + 5*k + 35, -2*k = 4*w + 94. Let f be 0 - (-2 - -34)/(-2). Let j = w + f. Put j, 3, 1 in descending order. 3, 1, j Let z = 45344375/15656 - 165067/57. Let o = -2/309 + z. Put -1/4, o, 0 in ascending order. -1/4, 0, o Suppose 8*b - 25 = 3*b. Let n = 3 - -5. Suppose 3*w - n = -2. Put -2, b, w in decreasing order. b, w, -2 Let x = 31 - 33. Let r = -62.95 - -54. Let j = 9 + r. Put -3/8, x, j in ascending order. x, -3/8, j Suppose -33 = -2*u + 95. Let g = u - 125/2. Let m = -4.32 + 0.32. Put g, -1, m in descending order. g, -1, m Let l be -4*(20/8)/(-5). Let r(s) = -3*s**2 - 3 + 3*s**l + 4 + 5*s**2. Let j be r(-1). Sort j, 2, 0.2 in descending order. j, 2, 0.2 Let b be (-332)/108 + -1 - -4. Put -1/4, -0.1, b, 3 in descending order. 3, b, -0.1, -1/4 Suppose 0*x = 3*z - x - 8, 0 = -2*z + 5*x + 14. Suppose -6*h + h = -g - 21, 2*h + z*g = 6. Sort h, -3, 2 in descending order. h, 2, -3 Let n = 366 - 362. Put -3, n, 3, 13 in decreasing order. 13, n, 3, -3 Let r = -4 - -3. Let q = -37 - -37.33. Let l = q - 0.33. Put 5, l, r in descending order. 5, l, r Let f(x) = -x**3 + 3*x**2 + 3*x - 4. Let q be f(1). Put q, -3, -111 in decreasing order. q, -3, -111 Suppose 0*w + 3*w = -0*w. Sort w, -3, 2, 5/6. -3, w, 5/6, 2 Let b(r) = r + 3. Let k be b(2). Sort -2, k, -26 in decreasing order. k, -2, -26 Suppose 0 = q - 9 - 5. Let l = -18 + q. Suppose 2 = -17*v + 15*v. Sort 0, l, v in decreasing order. 0, v, l Let m be 4*((-150)/12 - -5). Let j be 12/m - (1 + 3/5). Suppose 0 = 2*i - i - 3. Put j, i, 2 in ascending order. j, 2, i Let t = -1.58 - -0.73. Let x = -0.65 - t. Sort 1, 2, 0.4, x in decreasing order. 2, 1, 0.4, x Suppose x - 150 = -4*x. Let j = x - 32. Sort -5, j, 9, 0 in ascending order. -5, j, 0, 9 Let m = 2257/7 - 323. Put m, -12, 5 in descending order. 5, m, -12 Let h(p) = p**3 + 10*p**2 - p - 6. Let d be h(-10). Suppose 0 = 5*b - 5*m - 15, d*b = b - 3*m + 9. Let k be (17 - (-711)/(-45))*(-20)/6. Sort k, b, 0. k, 0, b Let b(w) = w**2 - w - 16. Let z be b(4). Let u = -49 - -53. Sort z, u, -1, -2/5 in descending order. u, -2/5, -1, z Suppose 0 = -0*f + 3*f - 6, -4*k - 2*f = -24. Suppose 0 = -2*b + d - 10, 3*b - 4*d + 5 + k = 0. Let a = 2 + b. Sort a, -1, 0 in decreasing order. 0, -1, a Let i = -1 + 20. Let p = i + -19. Put 1, 13, -5, p in ascending order. -5, p, 1, 13 Let l be 4/3 + 2/3. Sort -1, 7, l in decreasing order. 7, l, -1 Suppose 5*n = -4*u - 427, n + 437 = -4*u + 6*n. Let m be 4/18 - 300/u. Sort -13, 5, m in ascending order. -13, m, 5 Suppose -7*r = -2*r - 5. Sort r, -5, 20 in descending order. 20, r, -5 Let g = 396.5 - 396. Put g, -5, 1, -2 in ascending order. -5, -2, g, 1 Let x(j) = -2*j**2 - 7*j + 6. Let n be x(1). Suppose a - 10 = 2*l - 4, 0 = -5*l - 4*a - 2. Sort 2, n, -8, l in descending order. 2, l, n, -8 Let d = 25 - 29. Sort 3, -5, d, -6 in decreasing order. 3, d, -5, -6 Suppose 0 = 2*p - 3*p + 3. Suppose p*m = -5*a - 30, -4*a + 4*m = 2*m + 24. Let v be (a/(-4))/((-9)/(-18)). Sort -3, -1, v. -3, -1, v Let n(p) = 21*p + 19. Let b be n(-1). Let r = 6 - 3. Sort r, 5, b in decreasing order. 5, r, b Let z = 274 + -274. Sort 55, 2, z in decreasing order. 55, 2, z Let j(m) = -2*m - 15. Let y be j(-13). Let i(v) = -v**2 + 8*v + 3. Let x be i(8). Put x, y, -1 in ascending order. -1, x, y Let h = -9/14 - -15/14. Sort 0.4, h, -12 in descending order. h, 0.4, -12 Suppose 2*h = 3*h. Suppose -5 = a - h. Suppose 6*f = 14*f + 32. Sort f, a, 1 in increasing order. a, f, 1 Suppose 19*p - 3*p = 160. Sort -3, -1, 1, p. -3, -1, 1, p Let s = 0.48 + -0.2. Put 0.1, 1, s in descending order. 1, s, 0.1 Let t be (1/(-6))/(2/4). Let a = -23.6 - -23.7. Put -0.2, 1/4, a, t in increasing order. t, -0.2, a, 1/4 Let r = -513.2 + 513. Put -0.4, -5, r in increasing order. -5, -0.4, r Suppose 5*n - i = 0, i + 3 = -2*n + 2*i. Let c be n/(-2) + (-49)/14. Let v be (-12)/(-9) - 5/15. Put v, c, 5 in decreasing order. 5, v, c Let m = -24.9 - -25.9. Put -2.7, m, 1/3 in ascending order. -2.7, 1/3, m Let h = 1 + -0.8. Let t = -9.1 + 8.8. Put h, -1, t in decreasing order. h, t, -1 Suppose 11*w = -0*w + 55. Sort -40, 3, w in increasing order. -40, 3, w Let z = -977/13 - -75. Let m = 57 + -288/5. Sort -3/2, m, z. -3/2, m, z Let j = 499/4 - 125. Let x = -44 - -43.5. Sort 0.2, j, 0.1, x in descending order. 0.2, 0.1, j, x Let n = -11.6 - -12. Put n, 8, -2, -5 in decreasing order. 8, n, -2, -5 Let c be (-5 - (7 + -65)) + -6 + -1. Sort 1, c, -18. -18, 1, c Let h be (-51)/(-57) + (-1 - 0). Let a = -14.4 - -13. Let i = -1.5 - a. Put -3/7, i, h in descending order. i, h, -3/7 Let j(n) = 38*n - 105. Let l be j(3). Let t(h) = -h**3 - 5*h**2 + 7*h + 2. Let s be t(-6). Sort s, l, 5 in increasing order. s, 5, l Let k(b) = 3*b**3 - b**2 - 4*b + 3. Let r be k(2). Let h(m) = -5*m**2 + 1. Let o be h(1). Put -1, r, o, 2 in ascending order. o, -1, 2, r Let q be 2*(2 + -12) - 6/2. Sort -2, -1, 1, q in increasing order. q, -2, -1, 1 Let l(i) = i. Let g be l(4). Let y be 2 + (-72)/(-8) + -4. Put g, y, 5 in descending order. y, 5, g Let p = -23.5 - -24.2. Let g = -5 - -3.8. Let y = p + g. Put -3, y, 0.05 in decreasing order. 0.05, y, -3 Let p(l) = -l + 2. Let w be p(7). Let u be 1/4 + (-793)/52. Let i = u + 13. Put -1, w, i in increasing order. w, i, -1 Let v = 21.91 + -22. Let f be 6/5 - 16872/12210. Put v, 1, f in descending order. 1, v, f Let z = 399 + -403. Sort -0.11, z, -5. -5, z, -0.11 Let m be 6/10 - 0/(-1). Let o = -14 - -13.5. Put m, o, 0, -3 in decreasing order. m, 0, o, -3 Let x = 5.4 - -27.6. Let r = x - 27. Sort 1, r, 5/2 in descending order. r, 5/2, 1 Let d = 577 + -584. Put d, -10, -4, -2 in ascending order. -10, d, -4, -2 Let c = 127.2 + -127. Let f = -2 - -2.4. Put -4, -0.4, f, c in increasing order. -4, -0.4, c, f Suppose -8*v = -3*v + 3*i, 2*v - 5*i = 31. Suppose 6 = v*p + 4*x, 0 = -4*p + x + 6 - 17. Let r be 6/1 - 6/p. Put -4, r, 1 in increasing order. -4, 1, r Let f be (-4)/14 + 0 + 0. Let h be 41/5 + 12/(-60). Let w be (-2)/(-10) - 3*h/(-30). Sort w, f, 6 in descending order. 6, w, f Let x = 987 - 983. Sort x, -1, -39, 1 in descending order. x, 1, -1, -39 Suppose -3*d = 4*k - 31, -3*d + 25 = -2*d + 5*k. Let h = 14 - d. Sort 3, h, 2, 1 in descending order. h, 3, 2, 1 Let y = 188/3 + -62. Let p = 0.5 - 0.4. Let c = p + -1.1. Put 0, c, y in increasing order. c, 0, y Suppose -4*d = 5*l - 2*l + 14, -3*l + 1 = d. Let u = -6.3 + 11.3. Put u, -3/2, 4, l in decreasing order. u, 4, l, -3/2 Let b = -381 - -381.5. Put 9, -0.4, b, 3/4 in descending order. 9, 3/4, b, -0.4 Let p be 2*(2 + -3) + 0. Let u be (-8)/p - 0/(-4). Put u, -3, -1 in increasing order. -3, -1, u Let w = -0.384 + 0.384. Sort -24, -1/6, w, 2. -24, -1/6, w, 2 Let o = -0.71 - -3.61. Let r = o + -3.9. Let v = -11 + 6. Sort 0.2, v, r in decreasing order. 0.2, r, v Let f(z) = -z**2 + 1. Let a(p) = 7*p**2 - 5*p - 8. Let d(q) = -a(q) - 6*f(q). Let u be d(6). Suppose 12*j - 45 = 3. Sort j, u, 5. u, j, 5 Suppose -5*h - 5*p = -6*h + 22, 2*h - 5*p = 19. Put h, 10, 1 in des
{ "pile_set_name": "DM Mathematics" }
is positive. h**(571/14) Simplify s**(-4)/s**(2/9)*((s*s**(2/3)/s)/s)**(-1/29) assuming s is positive. s**(-1099/261) Simplify ((q/(q**(-3)*q))/((q/(q/(q*q**6)))/q))/(q**(4/7)*q/q**(-3)) assuming q is positive. q**(-53/7) Simplify (i**(-3)/(i*(i*i*i/i**(1/3)*i*i)/i))/((i*i**(-1/10))/i**(3/4)) assuming i is positive. i**(-469/60) Simplify ((((y*y*((y*y*y/((y/y**(1/15)*y)/y)*y*y)/y*y)/y*y*y)/y)/y*y)**(-9/7))**(-6/25) assuming y is positive. y**(234/125) Simplify v*v**16*((v/(v/v**(-13/4)))/v)/v assuming v is positive. v**(47/4) Simplify ((z**(-1/3))**(-36))**49 assuming z is positive. z**588 Simplify (((c*c**2*c)/c)/c**(-1/5))**22 assuming c is positive. c**(352/5) Simplify ((((i*i*i**3*i)/i)/i)/i)**(-1/19) assuming i is positive. i**(-3/19) Simplify (n*(n*(n**10/n)/n*n)/n)/n**(3/10) assuming n is positive. n**(97/10) Simplify (o**(-2/43)/(o**(-11)/o*o))**(-32) assuming o is positive. o**(-15072/43) Simplify t/t**(1/2)*t*t**(-19)*t*t assuming t is positive. t**(-31/2) Simplify (w*w**(-1/2)*w)**(-1/3)*w/((w*w/w**(-1/7))/w*w)*w**(5/3) assuming w is positive. w**(1/42) Simplify j*j**(2/3)*j*(j*j**(2/9))/j assuming j is positive. j**(26/9) Simplify (v**(3/5)/v**(2/5))/(v/v**0)**(2/7) assuming v is positive. v**(-3/35) Simplify (w**(-6)*w*w*w**4)**(-7/13) assuming w is positive. 1 Simplify (w**(-1/34))**(-28) assuming w is positive. w**(14/17) Simplify g**20/(((g*g**19*g)/g)/g) assuming g is positive. g Simplify v*v/(v/(v/v**(-3/2)))*v**(-2)/v*(v**(1/3)/v)**(-5/4) assuming v is positive. v**(4/3) Simplify (j/(j*j**(2/5)))**(-33)/(((j*(j*j**(1/5))/j)/j)/(j**0*j)) assuming j is positive. j**14 Simplify ((s/(s/(s/(((s/(s*s**6*s*s*s)*s)/s)/s))))/(s*s/s**(1/11)*s))/(((s**(-2/3)/s)/s)/(s*s**5)) assuming s is positive. s**(553/33) Simplify ((a*a**(-2))**(-17/6))**(-8) assuming a is positive. a**(-68/3) Simplify ((p/p**(5/3))/(p*p*p/((p**(-5/2)/p)/p)*p))**(2/21) assuming p is positive. p**(-55/63) Simplify (b/b**(-17)*b)**(11/6) assuming b is positive. b**(209/6) Simplify d**(-2/31)*d/d**(-3/8) assuming d is positive. d**(325/248) Simplify ((u*u*u**(-1/3)*u)**(-20))**(-4) assuming u is positive. u**(640/3) Simplify w/(w*w**(2/73)*w)*w*w**31 assuming w is positive. w**(2261/73) Simplify (d**4*d/(d**(-8)*d*d))**50 assuming d is positive. d**550 Simplify (m*m/m**0)**(1/3) assuming m is positive. m**(2/3) Simplify i/i**26*i/((i*i**33)/i) assuming i is positive. i**(-57) Simplify ((l**(-1))**(-1/65))**(-39) assuming l is positive. l**(-3/5) Simplify ((g**(-1)*g)/g)**20/((g*g/(g/(g/((g/(g*(g**2*g*g*g)/g))/g*g))))/g)**(-42) assuming g is positive. g**190 Simplify (a**1)**(-6/17)*(a/(a**(-1/4)*a))**7 assuming a is positive. a**(95/68) Simplify n/n**(3/4)*n*n*((n/n**6*n)/n)/n*n**(-3/5)/n**(-5) assuming n is positive. n**(13/20) Simplify ((d**(-5))**35)**(-20) assuming d is positive. d**3500 Simplify (o**1*o)**(-9/2)/((o*o**(1/3))/o**(-1/7)) assuming o is positive. o**(-220/21) Simplify (n**(-4))**14 assuming n is positive. n**(-56) Simplify (j**(-2/3))**46/((j*j**(-7/4)/j)/(j*j**5)) assuming j is positive. j**(-275/12) Simplify ((i**(1/17)*i)/i)/i*i**(-27) assuming i is positive. i**(-475/17) Simplify u**(3/7)/(u*(((u/(u*u**(-19))*u)/u)/u*u)/u*u) assuming u is positive. u**(-137/7) Simplify d**(3/16)/(d*d*d**(-10)) assuming d is positive. d**(131/16) Simplify (m*m/((m*m**22)/m*m))/m**(-3) assuming m is positive. m**(-18) Simplify (s/(s*s/(s*(s**(-9)/s)/s)))/((s*s*s**(2/7)*s)/s)*((s**1*s)/s)**10 assuming s is positive. s**(-23/7) Simplify q*q*q/((q/q**4)/q)*q/(q**(12/7)*q) assuming q is positive. q**(37/7) Simplify (m*m/(m/((m/((m/m**(-2/7))/m))/m*m)))/((m*m**(-1/5)*m)/m*m*m)*(m/m**(2/7))**(-27) assuming m is positive. m**(-713/35) Simplify l**9*l*l**11 assuming l is positive. l**21 Simplify z**(-1/3)*z*z**(3/2)*(z/(z/(z**(1/2)/z)))/(z*z/z**(-6)) assuming z is positive. z**(-19/3) Simplify w**5/w**(-3)*(w*w**(1/3))/w*w/((w*w**1)/w*w) assuming w is positive. w**(22/3) Simplify z**16*z*z/(z*z**(1/2)*z*z) assuming z is positive. z**(29/2) Simplify f**16/((f**21/f)/f*f) assuming f is positive. f**(-4) Simplify (l**(1/4))**(-4/29)*l**(4/3)*l*l**(2/13) assuming l is positive. l**(2774/1131) Simplify (g**(-2/7))**(-3/11)/(g/(g**3*g*g))**(1/53) assuming g is positive. g**(626/4081) Simplify ((t*t**(1/2)*t*t*t)/t)**(-18/13)/(t*t**(-2)*t)**(-40) assuming t is positive. t**(-63/13) Simplify (p/p**(-1/6)*(p/p**(4/3))/p)**(-1/32) assuming p is positive. p**(1/192) Simplify r/(r/(r/(r*r**(-2/61))))*((r*r**(6/13))/r)/r assuming r is positive. r**(-401/793) Simplify b**(-7)/b**(6/7) assuming b is positive. b**(-55/7) Simplify (g**(2/5)*g**5*g)**(-8) assuming g is positive. g**(-256/5) Simplify (f**(-6/11)/((f/(f**(-2/5)*f))/f*f*f))/(f**(-1)*f*f**(-2/5)) assuming f is positive. f**(-17/11) Simplify (g*g/g**(-18)*g*g)**33 assuming g is positive. g**726 Simplify (n*n*n**(-2/21))/(n**(1/6)*n*n) assuming n is positive. n**(-11/42) Simplify (i*i**8*i)**(2/27) assuming i is positive. i**(20/27) Simplify ((b**(-1/5)*b)**(-46))**(8/5) assuming b is positive. b**(-1472/25) Simplify ((w**(-1/4)/w)**(1/19))**45 assuming w is positive. w**(-225/76) Simplify ((z**(-1)/z)/z)**36/(z/(z**(-1/8)*z)*(z*z*z**(-1/2)*z*z)/z) assuming z is positive. z**(-885/8) Simplify ((s*s/s**(-2/7))**(-2/49))**(7/2) assuming s is positive. s**(-16/49) Simplify ((y*y/(y/(y*y**(1/43))*y)*y*y)/((y*y**(-1/34))/y))**(-17) assuming y is positive. y**(-4463/86) Simplify (t**5*t)**(7/5) assuming t is positive. t**(42/5) Simplify o**23*o**(-18) assuming o is positive. o**5 Simplify (v**15/v*v)/(v*v*v**10) assuming v is positive. v**3 Simplify (x**(-4)*x**(-2/3))/((x*x/(x*x*x**(2/13))*x)/(x*(x/(x/x**(1/5)))/x*x)) assuming x is positive. x**(-841/195) Simplify (y/(y**(-1/11)/y))/y*y**(-4)*y**5*y**(1/8) assuming y is positive. y**(195/88) Simplify (f*f**34*f)**(-13/3) assuming f is positive. f**(-156) Simplify ((k*k/((k**(-5)*k)/k))/k*k)**3 assuming k is positive. k**21 Simplify (o**(-1/12)/o)**(2/11) assuming o is positive. o**(-13/66) Simplify (a*a/a**(-2/5)*a/a**4)/(((a**8/a)/a)/(a/a**(-1/2))) assuming a is positive. a**(-51/10) Simplify (s/s**(3/14)*s**12)**(-3) assuming s is positive. s**(-537/14) Simplify (((v*v*v**(-2/17)/v)/v)**(-2/11))**34 assuming v is positive. v**(8/11) Simplify (p**(-21))**9 assuming p is positive. p**(-189) Simplify g**1*g*g**(2/9)/g*((g/(g**(2/5)/g*g))/g)**31 assuming g is positive. g**(-503/45) Simplify x**(-5)/(x**(-4)/x)*(x**(2/3)*x*x)/(x**(-1)/x) assuming x is positive. x**(14/3) Simplify ((k**(2/7))**(-1))**(-6/17) assuming k is positive. k**(12/119) Simplify (j/(j**(-41/3)*j))/(j**(-16)/j*j) assuming j is positive. j**(89/3) Simplify (l**(2/3))**(-1)/(l*l*l**(2/11)/l*l)**(-15/11) assuming l is positive. l**(838/363) Simplify a/a**(1/17)*a/a**(-20) assuming a is positive. a**(373/17) Simplify (f**25*f)/f*f*f/(f**(-2)*f) assuming f is positive. f**28 Simplify (d**(2/3)*d/(d*d/((d**(-2)*d)/d)))**(-17) assuming d is positive. d**(119/3) Simplify ((((x*(x*x*(x/((x/(x/(x*x/((x/(x*x*x*x**(-2)/x))/x))))/x))/x)/x)/x*x*x)/x)/(x*x*x*x**(3/7)))**(-1/10) assuming x is positive. x**(17/70) Simplify (s**3/(s*s**8))/(s*(s/(s*(s**(-1/5)*s*s)/s*s))/s)**(-43) assuming s is positive. s**(-417/5) Simplify (l**(-2/7))**(11/4)/((l/(l/l**(-5)*l))/(l*l**(-5))) assuming l is positive. l**(17/14) Simplify (n*n**(1/3))**(-15/2) assuming n is positive. n**(-10) Simplify t**(-2)/(t*t/((t*t**(2/3)*t)/t))*(t/(t*t/(t*t/t**(-1))))**(4/5) assuming t is positive. t**(-11/15) Simplify (m**(8/3)*m)/((m/(m**1*m*m))/m) assuming m is positive. m**(20/3) Simplify (k**(2/3)*k**(-1/3))**(-42) assuming k is positive. k**(-14) Simplify ((i*i/i**(-14))/i)/i*i/i**(-2/19) assuming i is positive. i**(287/19) Simplify (u**(-2/5)/u*u)**(2/97) assuming u is positive. u**(-4/485) Simplify (n**(2/3)*n*n*n**(3/16)/n)**(-2/23) assuming n is positive. n**(-89/552) Simplify z/(z/((z*z/z**(-6))/z)*z)*z/(z*z**(-1/5))*z*(z/((z/(z/z**(-4)))/z))/z*z**(-5)*z assuming z is positive. z**(41/5) Simplify (p/(p/(p*p**(-25))*p))/(p*p**(6/11)) assuming p is positive. p**(-292/11) Simplify h**(-32)/(h/((h/((h**(-9/2)/h)/h)*h)/h)) assuming h is positive. h**(-51/2) Simplify (k**(-3/2)/k*k)**48 assuming k is positive. k**(-72) Simplify (g*(g**1*g*g)/g*g)**(-49)*
{ "pile_set_name": "DM Mathematics" }
1952216 What is the common denominator of -31/8 and 131/23372736? 23372736 Calculate the lowest common multiple of 12680 and 2256. 3575760 Calculate the common denominator of -109/80111460 and 133/186. 2483455260 Find the common denominator of 61/13332915 and -52/27. 39998745 What is the least common multiple of 1004247 and 1450579? 13055211 What is the common denominator of 1/1656 and 47/70474760? 634272840 Calculate the lowest common multiple of 3276 and 73695. 80474940 Calculate the least common multiple of 136 and 1047776. 17812192 What is the smallest common multiple of 5481336 and 7350? 137033400 Calculate the least common multiple of 418010 and 4723513. 47235130 What is the common denominator of 101/6714 and -19/517782? 579398058 Calculate the lowest common multiple of 656 and 310698. 2485584 What is the lowest common multiple of 8 and 12664234? 50656936 Find the common denominator of 11/2786292 and -95/309588. 2786292 Calculate the lowest common multiple of 1949058 and 18. 1949058 Calculate the common denominator of -23/17402985 and 123/170. 34805970 Calculate the smallest common multiple of 23370 and 744724. 11170860 Find the common denominator of 53/4 and 7/8837438. 17674876 Find the common denominator of -11/364983120 and -39/160. 729966240 Calculate the common denominator of 197/2040 and -139/4026390. 273794520 What is the lowest common multiple of 67599810 and 45066540? 135199620 What is the smallest common multiple of 660 and 278070? 6117540 What is the common denominator of -26/735747 and 73/28448884? 85346652 Calculate the common denominator of -57/80 and 137/1087800. 2175600 Find the common denominator of 7/1914 and -53/76525722. 841782942 Calculate the common denominator of -109/386130 and 11/2638555. 15831330 Calculate the common denominator of 43/1351281 and 40/12161529. 12161529 What is the common denominator of 121/219500 and -29/169500? 74410500 Calculate the lowest common multiple of 2070020 and 5692555. 22770220 What is the common denominator of 83/36218 and 1/209209? 83265182 What is the common denominator of 1/26010 and 37/217448802? 1087244010 Find the common denominator of 37/2256 and 51/38941192. 233647152 Calculate the common denominator of 48/680105 and 47/133028538. 665142690 Calculate the least common multiple of 26594 and 318. 4228446 Find the common denominator of 56/194577 and -4/73069. 17317353 Find the common denominator of 94/3213 and 32/29558529. 88675587 What is the least common multiple of 854226 and 891? 9396486 What is the lowest common multiple of 9 and 30605501? 275449509 Calculate the least common multiple of 775215 and 2104155. 14729085 What is the common denominator of 23/112 and 119/20161872? 141133104 What is the smallest common multiple of 3681540 and 2249830? 40496940 Calculate the lowest common multiple of 10584 and 362502. 1450008 What is the smallest common multiple of 6258 and 39298? 17566206 What is the lowest common multiple of 3076156 and 426? 655221228 Calculate the least common multiple of 118146 and 9612. 189269892 What is the common denominator of 32/69 and 19/1258362? 28942326 What is the least common multiple of 216 and 65110656? 585995904 Calculate the common denominator of -163/70899660 and -191/21060. 638096940 Find the common denominator of 21/704 and 21/22847176. 182777408 What is the common denominator of 173/11088 and 113/38808? 77616 What is the common denominator of -33/766702 and -59/124? 47535524 Find the common denominator of -1/95571630 and -151/7722. 1242431190 Calculate the smallest common multiple of 1859542 and 40134. 5578626 What is the smallest common multiple of 226210 and 990? 22394790 What is the common denominator of 13/4968 and 91/2605440? 23448960 Calculate the lowest common multiple of 281242176 and 96. 281242176 What is the least common multiple of 28336 and 11483164? 45932656 What is the lowest common multiple of 385 and 721479? 25251765 What is the least common multiple of 6 and 2611002? 2611002 What is the common denominator of -1/3045003 and 17/31135? 15225015 What is the smallest common multiple of 2112 and 8387280? 33549120 What is the lowest common multiple of 11584960 and 240? 34754880 What is the smallest common multiple of 1210 and 101565? 24578730 Calculate the smallest common multiple of 8973542 and 64. 287153344 Calculate the common denominator of -11/1974 and -59/54890. 54176430 What is the common denominator of -11/1340 and 83/44610? 5977740 Calculate the lowest common multiple of 618633 and 245803512. 737410536 What is the common denominator of -4/1861203 and 49/123? 76309323 Calculate the lowest common multiple of 500642 and 610. 152695810 What is the common denominator of -27/5530 and -41/14277354? 71386770 What is the common denominator of 17/1440 and -97/3384315? 108298080 What is the common denominator of 1/4 and 89/32148436? 32148436 What is the common denominator of -103/488160 and -23/55935? 5369760 What is the common denominator of 47/3 and -31/9021963? 9021963 Find the common denominator of 69/4340 and -58/6852085. 191858380 What is the lowest common multiple of 39070 and 47997495? 95994990 Find the common denominator of -31/9407715 and 47/1217469. 103484865 What is the smallest common multiple of 130515 and 1845855? 12920985 What is the lowest common multiple of 121 and 6009718? 66106898 What is the common denominator of -8/3789 and -47/7464330? 7464330 What is the common denominator of 8/270799767 and 62/707049? 270799767 Calculate the least common multiple of 4608 and 1536. 4608 Find the common denominator of 43/359548 and -45/9271202. 129796828 Find the common denominator of 103/156128 and -3/560. 780640 Calculate the common denominator of -29/254584 and 103/13068. 6873768 What is the lowest common multiple of 5264176 and 9344? 42113408 What is the common denominator of -34/186525 and 53/253674? 6341850 Calculate the common denominator of -7/6448068 and 31/8. 12896136 What is the common denominator of 48/133 and 19/9588152? 182174888 Calculate the common denominator of -11/4559077 and -103/2145448. 36472616 Calculate the lowest common multiple of 1525 and 8386463. 209661575 Calculate the common denominator of 16/6350823 and 23/2118. 12701646 Calculate the smallest common multiple of 34460 and 4169660. 4169660 What is the common denominator of 125/12 and 81/650956916? 1952870748 Calculate the common denominator of -47/9930 and -71/32100. 10625100 What is the smallest common multiple of 32508 and 251916? 97491492 Calculate the smallest common multiple of 45 and 5114725. 46032525 What is the common denominator of 79/2 and 95/51948286? 51948286 What is the common denominator of -109/38858436 and 83/7526634? 1670912748 Calculate the common denominator of 107/2748 and 125/634194. 290460852 What is the smallest common multiple of 84 and 31713724? 95141172 What is the common denominator of -28/27 and 95/2166978? 19502802 Calculate the smallest common multiple of 968120 and 54311532. 543115320 Calculate the common denominator of 107/4780384 and 40/72751469. 2328047008 Calculate the least common multiple of 440770 and 14104640. 14104640 Calculate the least common multiple of 193066 and 1429732. 52900084 Find the common denominator of 11/74750 and 99/32500. 747500 What is the lowest common multiple of 107675 and 5605? 2045825 What is the lowest common multiple of 2 and 10604712? 10604712 Find the common denominator of 77/8336088 and -155/792. 91696968 What is the common denominator of -1/419580888 and 77/139860296? 419580888 Find the common denominator of 101/4377708 and -53/21. 30643956 Calculate the smallest common multiple of 2039354 and 10196770. 10196770 What is the common denominator of 4/10365 and 19/40384113? 201920565 Calculate the least common multiple of 22 and 23564. 259204 Calculate the smallest common multiple of 2011 and 618. 1242798 Find the common denominator of 107/9580 and 17/2747065. 10988260 What is the lowest common multiple of 19656810 and 405? 58970430 What is the smallest common multiple of 688 and 30916? 5317552 What is the common denominator of 59/2980 and -35/27488? 20478560 What is the lowest common multiple of 66484 and 8756? 13230316 Calculate the least common multiple of 151322 and 15654. 453966
{ "pile_set_name": "DM Mathematics" }
e the second derivative of -y**4/12 - y**3 - 3*y**2 + 2*y. Let w(z) = -2*z**2 - 11*z - 11. Calculate n*k(f) - 6*w(f). f**2 Let q(o) = 2*o**2 - 2*o + 1. Suppose -d + 3*f = -6, 3*d = -3*f - 0*f - 18. Let j(t) = -t**2 + t - 1. Determine d*q(s) - 5*j(s). -s**2 + s + 2 Let a(s) = -s**3 - 9*s**2 + 2*s - 2. Let j(q) = -6*q**3 - 45*q**2 + 11*q - 11. Let b be (-5)/((-715)/(-312)) - (-4)/22. Calculate b*j(k) + 11*a(k). k**3 - 9*k**2 Let a(g) = 2*g + 2. Let q(y) = -y - 145. Give -3*a(z) - 3*q(z). -3*z + 429 Let r(d) = d**3 - 6*d**2 + 7*d - 14*d + 3*d + d - 5*d**3. Let x(z) = -7*z**3 - 11*z**2 - 5*z. Let l be ((-6)/(-12))/(2/(-24)). Determine l*x(i) + 11*r(i). -2*i**3 - 3*i Let g = 297 - 291. Let o(t) = 4*t**2 + 10*t. Let s be (-3 - 0/(-4)) + -17. Let j(x) = x**2 + 3*x. What is g*o(k) + s*j(k)? 4*k**2 Let i(a) = -a + 2. Let o(b) = -238*b + 6. What is -4*i(t) + o(t)? -234*t - 2 Let j(o) = 22010*o**3 + 1278*o. Let p(f) = -69*f**3 - 4*f. Calculate -2*j(z) - 639*p(z). 71*z**3 Let b(i) = 3*i + 3*i**2 - 2*i - 2*i**2. Let v(p) = -4*p + 31 + 10*p + 3*p**2 - 31. Determine 6*b(j) - v(j). 3*j**2 Let r(i) = 829*i**2 - 3*i - 24. Let t(n) = 276*n**2 - n - 9. Calculate 3*r(g) - 8*t(g). 279*g**2 - g Let g(r) = -r + 1. Let v(m) = 114*m. Determine 2*g(i) + v(i). 112*i + 2 Let q(i) = 18*i**2 - 39*i + 6. Let a(y) = 22*y**2 - 38*y + 7. Give -4*a(l) + 5*q(l). 2*l**2 - 43*l + 2 Let g(y) = -3*y**2 - 9*y + 1. Let r(p) = -p**2 + 112*p - 5. Let w(u) = 21*u - 1. Let d(h) = 4*r(h) - 22*w(h). Give 5*d(n) - 8*g(n). 4*n**2 + 2*n + 2 Let g(t) = 1 + 8*t + 7*t**3 - 2 - 7 + t. Let w(d) = 15*d**3 + 19*d - 17. Calculate -13*g(p) + 6*w(p). -p**3 - 3*p + 2 Let f(a) = -a**2 - 4*a - 4. Let x = 3 - 8. Let m(l) = 5*l**2 + 2*l + 2. Let y(b) = 14*b**2 + 7*b + 7. Let h(q) = -8*m(q) + 3*y(q). Give x*f(c) - 4*h(c). -3*c**2 Let g(w) = -w. Let z(l) = 91*l. What is 26*g(k) - z(k)? -117*k Let q(h) = -h**3 + h**2 - 1. Let c(j) be the third derivative of j**6/24 - j**5/12 + 2*j**3/3 + 140*j**2. Determine 2*c(b) + 9*q(b). b**3 - b**2 - 1 Let x(i) be the first derivative of -13*i**2/2 + 5*i + 2932. Let z(b) = -6*b + 2. Let j(f) = -f**3 + 3*f**2 + 6*f - 5. Let q be j(4). Determine q*x(y) - 7*z(y). 3*y + 1 Let b(o) = -2*o. Let f(g) = g - 6. Let r(c) = -c + 7. Let p(a) = -a - 2. Let x be p(5). Let z(n) = x*f(n) - 6*r(n). What is 4*b(v) - 5*z(v)? -3*v Let j(p) = 128*p + 7. Let d(r) = -254*r - 16. Give -3*d(l) - 7*j(l). -134*l - 1 Let d(c) = 28*c**3 - 4*c**2 + 2*c - 2. Let a(g) = 4*g**3 - g**2 + g - 1. Determine -2*a(j) + d(j). 20*j**3 - 2*j**2 Let y(x) = 4*x**2 - 15*x - 1. Let s(z) = -z**2 + 2*z + 1. Let w(u) = -5*s(u) - y(u). Let q(b) = b**2 + 6*b - 5. Give 5*q(o) - 6*w(o). -o**2 - 1 Suppose -2*l + 71 = -a - 3*l, a - 2*l + 65 = 0. Let o = a + 75. Let m(w) = -8*w**2 - 17*w + 17. Let h(t) = -t**2 - 2*t + 2. What is o*m(i) - 51*h(i)? 3*i**2 Suppose -6*s = -2*s - 360. Let d be 25/9 - 4*(-5)/s. Let o(k) = k**2 - k. Let t(f) = f**2 - 5*f + 1. Determine d*o(b) - t(b). 2*b**2 + 2*b - 1 Let p be (-6)/(8/((-176)/(-3))). Let j = p - -43. Let o(z) = -8*z**2 + z - 5. Let u(c) = -3 - c**2 + 3 + 3 - 4. Determine j*o(g) + 6*u(g). 2*g**2 - g - 1 Let v(m) = 20*m**3. Let z(t) = 17*t**3 + t. Calculate -5*v(h) + 6*z(h). 2*h**3 + 6*h Let g(p) = p**2 - p - 1. Let z(i) = -i**3 + 6*i**2 - 2*i - 2. Let y be z(5). Let w = y - 9. Let q(u) = 5*u + u**2 - w*u - 4 - u. Calculate 2*g(j) - q(j). j**2 - 2*j + 2 Let g(n) = -119*n. Let i(p) = -1310*p. Calculate 45*g(b) - 4*i(b). -115*b Let h(x) = -8*x - 23. Let y(n) = 357*n + 1037. What is -136*h(q) - 3*y(q)? 17*q + 17 Let m(u) = -15*u + 28. Let y be m(2). Let i(t) = 3*t**3 - 2*t**2 - 3*t - 3. Let j(h) = -h**2 + 3*h**3 + 0*h**3 - 2*h + 11 - 13. Calculate y*i(b) + 3*j(b). 3*b**3 + b**2 Let i(w) = 424*w**3 - 4*w**2 - 4*w + 8. Let c(t) = -2*t**3 - t**2 - t + 2. Calculate -4*c(a) + i(a). 432*a**3 Let u(r) = 11*r**2 - 178*r - 2. Let o(q) = 13*q**2 - 175*q - 3. What is 5*o(y) - 6*u(y)? -y**2 + 193*y - 3 Let k(b) = 44*b - b**2 - 5*b - 39*b + 0*b**2. Let s(z) = -5*z**2. Give -2*k(w) + s(w). -3*w**2 Let h(g) = 9*g**2 - 7*g + 7*g**2 + 11*g**3 - 22*g**2 + 12*g**2. Let w(x) = -x**3 - x**2 + x. Give -h(k) - 6*w(k). -5*k**3 + k Let g(o) = 14*o. Let c be -9*(-3 - -2) + -20. Let n(v) = -55*v. Give c*g(i) - 3*n(i). 11*i Let i(w) = 2*w**2 - 3 - 3*w**2 - 19*w + 22*w. Let t(p) = 9 + 6*p**2 + 0 - 16*p + 7. What is -16*i(b) - 3*t(b)? -2*b**2 Let k(s) = 7*s**3 + 3*s**2 + 2*s - 4. Let m(x) = 12*x**3 + 5*x**2 + 4*x - 7. Give -5*k(j) + 3*m(j). j**3 + 2*j - 1 Let i(v) = -89*v + 27. Let t(r) = -90*r + 23. Give 5*i(f) - 6*t(f). 95*f - 3 Let r(m) = -5*m - 9. Let s(q) be the third derivative of q**4/24 + q**3/6 - 25*q**2 - 2. Determine r(l) + 3*s(l). -2*l - 6 Let x(z) = -3*z + 4. Let f(t) = -3*t + 6. Determine 3*f(v) - 4*x(v). 3*v + 2 Let k(q) = 90*q**3 - 3*q**2 - 7*q. Let a(o) = 90*o**3 - 2*o**2 - 5*o. What is 3*a(t) - 2*k(t)? 90*t**3 - t Let u(b) = -b**2 - 7*b + 2. Let a(v) = v - 1. Let l(h) = h**2 - 7*h + 6. Suppose 14 = -0*i + 4*i - 2*f, 5*i = -4*f + 37. Let z be l(i). Give z*a(p) - u(p). p**2 + 3*p + 2 Let x(k) = k + 2. Let n(m) = 1063*m**3 - 5*m - 10. Determine n(d) + 5*x(d). 1063*d**3 Let h(m) = 207*m - 12*m**3 - 5*m**2 - 202*m + 0 + 0. Let r(c) = -11*c**3 - 4*c**2 + 4*c. Determine 4*h(x) - 5*r(x). 7*x**3 Let r(x) = -4*x**3 + 13*x**2 + 5*x + 10. Let p(g) = 2*g**3 - 6*g**2 - 3*g - 5. Determine -11*p(m) - 6*r(m). 2*m**3 - 12*m**2 + 3*m - 5 Let g(k) = 405*k**3 - 24. Let p(i) = 202*i**3 - 10. What is 2*g(v) - 5*p(v)? -200*v**3 + 2 Let g(d) = -10*d**2 - d - 1. Let u(h) = -h**2 - h + 1. Calculate -g(q) + u(q). 9*q**2 + 2 Let x(d) = 6*d**3 - 3*d**2 - 3. Let n(a) = 23*a**3 - 6*a**2 - a**2 - 2*a**2 + 2123 - 2*a**2 - 2134. Calculate -6*n(v) + 22*x(v). -6*v**3 Let l(c) = -c + 1. Let p(r) be the third derivative of 5/24*r**4 - 16*r**2 - r**3 + 0 + 0*r. Calculate -6*l(o) - p(o). o Let t(h) = -5*h + 4. Let w(r) be the first derivative of r**3/3 - 3*r**2/2 - 33*r - 23. Let i be w(7). Let z(y) = 4*y - 4. What is i*t(c) - 6*z(c)? c + 4 Let k(r) = -52*r**3 + 32*r**2 + 32. Let g(s) be the first derivative of -2*s**4 + 5*s**3/3 + 5*s - 126. What is -32*g(d) + 5*k(d)? -4*d**3 Let p(g) = -g + 5. Let w(n) = -6*n + 24. Suppose -22*x = 3 + 41. Give x*w(l) + 11*p(l). l + 7 Let n(q) = 98*q**2 - 198*q**2 + 99*q**2 - 4 - 2*q. Let o(c) = -4*c**2 - 7*c - 13. Determine -7*n(v) + 2*o(v). -v**2 + 2 Let b(r) = -2*r - 1. Let t(h) = 22*h. What is -3*b(n) - t(n)? -16*n + 3 Let x(i) = 2*i**3 - 3*i**2 + 3. Suppose 3*f - 4*o - 29 = 0, -4 = 5*f + 4*o + 1. Let g(z) = -7*z**3 + z**f - 3 + 2 + 5*z**3 + z**2. What is -3*g(k) - x(k)? k**3 Let k(v) = -14*v**2 - 9*v**2 - 14*v**2 + 1 - v + 43*v**2. Let t(p) = 5*p**2 - p. Determine -3*k(z) + 4*t(z). 2*z**2 - z - 3 Let t(z) = -11*z**2 - 2*z + 4. Let m(i) = -5*i**2 - i + 2. Suppose -15 + 18 = y + q, 4*y - 4*q = 28. Determine y*m(o) - 2*t(o). -3*o**2 - o + 2 Let p(t) be the first derivative of -2*t**3/3 + t**2/2 + 6*t - 152. Let x(n) = 1. Let w be (2/(-4)*2)/(-1). What is w*p(d) - 6*x(d)? -2*d**2 + d Let l(a) = -a + 1. Let r(v) be the third derivative of -v**4/3 + 7*v**3/6 - 2*v**2 + 56. Determine -6*l(s) + r(s). -2*s + 1 Let z(p) = -3*p - 44. Let j(s) = -2*s - 23. Calculate -11*j(x) + 6*z(x). 4*x - 11 Let i(z) = -1. Let j(g) = 18*g + 4. Let r(v) = 14*v + 4. Let f(o) = 3*j(o) - 4*r(o). Give f(n) - 2*i(n). -2*n - 2 Let i(r) = 3094*r**3 + 7*r**2 - 7*r - 7. Let l(b) = 1031*b**3 + 2*b**2 - 2*b - 2. Give -2*i(k) + 7*l(k). 1029*k**3 Let r be (1 + 8)*6/9. Let p(t) = -t**2 - 1. Let h(b) = -1280*b + 2584*b - 7*b**2 - 6 - 1302*b. Determine r*p(k) - h(k). k**2 - 2*k Let t(p) = p - 3. Let w(d) = -4*d + 10. Suppose -3*s = -l + 17, 0*s + l - 13 = 2*s. Give s*w(r) - 14*t(r). 2*r + 2 Let f(g) be the first derivative of g**3 - 3*g**2 - 5*g - 29. Let t(n) = 4*n**2 - 7*n - 6. Determine -6*f(r) + 5*t(r). 2*r**2 + r Let o(j) = 3*j - 32. Let w(y) = 12*y - 127. What is -9*o(b) + 2*w(b)? -3*b + 34 Let u(k) = -16*k**3 - 2*k**2 - 2*k - 2. Suppose 39*c = 15 - 93. Let x(j) = -81*j**3 - 11*j**2 - 10*j - 11. Calculate c*x(p) + 11*u(p). -14*p**3 - 2*p Let u(j) be the third derivative of -j**4/8 - j**3/2 + 443*j**2. Let q(l) = -2*l - 1. Determine 10*q(d) - 6*u(d). -2*d + 8 Let j(g) be the third derivative of -g**4/12 + 5*g**3/2 + 12*g**2. Let l be j(7)
{ "pile_set_name": "DM Mathematics" }
o - 3 What is the o'th term of -308, -621, -934? -313*o + 5 What is the l'th term of -22, -19, -14, -7? l**2 - 23 What is the v'th term of 186, 223, 258, 291, 322, 351? -v**2 + 40*v + 147 What is the r'th term of 1, -17, -71, -179, -359? -3*r**3 + 3*r + 1 What is the l'th term of -97, -183, -269, -355, -441, -527? -86*l - 11 What is the s'th term of 1, -10, -31, -62, -103, -154? -5*s**2 + 4*s + 2 What is the z'th term of -9, -57, -133, -237, -369, -529, -717? -14*z**2 - 6*z + 11 What is the z'th term of 277, 283, 301, 337, 397, 487, 613, 781? z**3 - z + 277 What is the d'th term of -4, -12, -16, -16? 2*d**2 - 14*d + 8 What is the l'th term of 58, 36, -12, -92, -210, -372? -l**3 - 7*l**2 + 6*l + 60 What is the n'th term of -30, -37, -38, -39, -46, -65, -102? -n**3 + 9*n**2 - 27*n - 11 What is the w'th term of 320, 329, 352, 395, 464, 565, 704, 887? w**3 + w**2 - w + 319 What is the h'th term of -96, -87, -76, -63, -48? h**2 + 6*h - 103 What is the z'th term of -683, -689, -691, -683, -659, -613, -539, -431? z**3 - 4*z**2 - z - 679 What is the n'th term of 39, 64, 95, 138, 199? n**3 - 3*n**2 + 27*n + 14 What is the j'th term of 1313, 1298, 1283, 1268? -15*j + 1328 What is the n'th term of 5, 2, -5, -16, -31, -50, -73? -2*n**2 + 3*n + 4 What is the l'th term of 5, 8, 13, 20, 29? l**2 + 4 What is the q'th term of -559, -1104, -1649, -2194? -545*q - 14 What is the a'th term of -5643, -5640, -5627, -5598, -5547, -5468? a**3 - a**2 - a - 5642 What is the k'th term of 683, 1360, 2037, 2714? 677*k + 6 What is the j'th term of -58, -124, -194, -262, -322, -368, -394, -394? j**3 - 8*j**2 - 49*j - 2 What is the o'th term of -15, -8, 11, 48, 109? o**3 - 16 What is the h'th term of 15, 31, 47, 63, 79, 95? 16*h - 1 What is the t'th term of -608, -1176, -1736, -2282, -2808, -3308? t**3 - 2*t**2 - 569*t - 38 What is the r'th term of -178, -1470, -4972, -11788, -23022, -39778, -63160? -184*r**3 - r**2 - r + 8 What is the o'th term of -4568, -4564, -4560, -4556, -4552? 4*o - 4572 What is the y'th term of -13, -5, 45, 167, 391, 747, 1265, 1975? 5*y**3 - 9*y**2 - 9 What is the u'th term of -67, -133, -187, -223, -235, -217, -163? u**3 - 73*u + 5 What is the u'th term of -926, -923, -918, -911, -902, -891? u**2 - 927 What is the w'th term of -82, -140, -198, -256, -314? -58*w - 24 What is the d'th term of -737, -732, -715, -680, -621, -532? d**3 - 2*d - 736 What is the o'th term of 8, 7, 6, 5, 4? -o + 9 What is the s'th term of 32, 51, 74, 101, 132, 167, 206? 2*s**2 + 13*s + 17 What is the r'th term of -3826, -3820, -3814, -3808? 6*r - 3832 What is the b'th term of -1472, -1474, -1476, -1478, -1480? -2*b - 1470 What is the k'th term of -27, -51, -87, -141, -219? -k**3 - 17*k - 9 What is the w'th term of -53, -55, -27, 55, 215, 477, 865? 4*w**3 - 9*w**2 - 3*w - 45 What is the u'th term of 67, 70, 83, 112, 163, 242, 355, 508? u**3 - u**2 - u + 68 What is the x'th term of -77, -177, -313, -503, -765, -1117? -3*x**3 - 79*x + 5 What is the m'th term of -312, -1265, -2856, -5085, -7952? -319*m**2 + 4*m + 3 What is the a'th term of -12, -33, -66, -111? -6*a**2 - 3*a - 3 What is the d'th term of -18, 3, 24, 45, 66, 87? 21*d - 39 What is the v'th term of -56, -115, -174, -233, -292? -59*v + 3 What is the k'th term of 1889, 3708, 5515, 7304, 9069, 10804? -k**3 + 1826*k + 64 What is the w'th term of -2, -5, 2, 25, 70, 143? w**3 - w**2 - 7*w + 5 What is the q'th term of 2787, 2786, 2785? -q + 2788 What is the c'th term of -9685, -19371, -29057, -38743, -48429, -58115? -9686*c + 1 What is the w'th term of -1356, -1355, -1354? w - 1357 What is the r'th term of 53, 41, 29, 17, 5, -7? -12*r + 65 What is the y'th term of 770, 1561, 2352, 3143, 3934? 791*y - 21 What is the h'th term of 21, 26, 33, 42, 53? h**2 + 2*h + 18 What is the h'th term of -2186, -2184, -2182, -2180? 2*h - 2188 What is the d'th term of 618, 622, 630, 642? 2*d**2 - 2*d + 618 What is the s'th term of 70, 139, 208, 277, 346? 69*s + 1 What is the k'th term of -1058, -1061, -1064, -1067? -3*k - 1055 What is the v'th term of -4, -9, -18, -31, -48? -2*v**2 + v - 3 What is the l'th term of 396, 412, 452, 528, 652, 836? 2*l**3 + 2*l + 392 What is the w'th term of 127, 255, 383, 511, 639, 767? 128*w - 1 What is the q'th term of 61, 57, 53? -4*q + 65 What is the g'th term of -45, -37, -25, -9? 2*g**2 + 2*g - 49 What is the p'th term of -7, -53, -123, -211, -311? p**3 - 18*p**2 + p + 9 What is the r'th term of 2, 10, 18, 26? 8*r - 6 What is the w'th term of -7, 20, 95, 242, 485, 848? 4*w**3 - w - 10 What is the p'th term of 716, 705, 692, 677, 660, 641? -p**2 - 8*p + 725 What is the j'th term of -2, 2, 8, 16, 26? j**2 + j - 4 What is the d'th term of 26, 74, 118, 152, 170, 166? -d**3 + 4*d**2 + 43*d - 20 What is the w'th term of 310, 312, 314? 2*w + 308 What is the m'th term of -13, -19, -35, -67, -121, -203? -m**3 + m**2 - 2*m - 11 What is the v'th term of 2980, 5954, 8928, 11902, 14876? 2974*v + 6 What is the c'th term of -5568, -11136, -16706, -22278, -27852, -33428, -39006? -c**2 - 5565*c - 2 What is the g'th term of 20, 24, 28, 32, 36, 40? 4*g + 16 What is the a'th term of -527, -1114, -1689, -2246, -2779, -3282, -3749? a**3 - 594*a + 66 What is the s'th term of 59, 118, 177, 236, 295, 354? 59*s What is the a'th term of -1694, -6772, -15236, -27086? -1693*a**2 + a - 2 What is the l'th term of -622, -1271, -1922, -2575? -l**2 - 646*l + 25 What is the v'th term of -27, -38, -73, -144, -263, -442? -2*v**3 + 3*v - 28 What is the m'th term of -73, -146, -219, -292, -365? -73*m What is the k'th term of -60, -40, 0, 66, 164? k**3 + 4*k**2 + k - 66 What is the s'th term of 10837, 21676, 32515, 43354? 10839*s - 2 What is the q'th term of 31, 42, 61, 88, 123? 4*q**2 - q + 28 What is the r'th term of -7, -12, -15, -10, 9? r**3 - 5*r**2 + 3*r - 6 What is the v'th term of 1232, 1201, 1158, 1097, 1012, 897, 746, 553? -v**3 - 24*v + 1257 What is the v'th term of 176, 135, 94, 53, 12? -41*v + 217 What is the n'th term of -133, -260, -387, -514, -641? -127*n - 6 What is the q'th term of -19569, -19567, -19565, -19563, -19561? 2*q - 19571 What is the v'th term of 23, 65, 137, 245, 395, 593, 845? v**3 + 9*v**2 + 8*v + 5 What is the d'th term of 68, 233, 514, 917, 1448, 2113, 2918, 3869? d**3 + 52*d**2 + 2*d + 13 What is the u'th term of -455, -461, -477, -509, -563, -645, -761, -917? -u**3 + u**2 - 2*u - 453 What is the v'th term of 4, 0, -4, -8? -4*v + 8 What is the f'th term of 242, 228, 218, 224, 258, 332? 2*f**3 - 10*f**2 + 2*f + 248 What is the r'th term of 242, 993, 2242, 3983, 6210, 8917, 12098? -r**3 + 255*r**2 - 7*r - 5 What is the s'th term of -20, -48, -74, -98, -120, -140? s**2 - 31*s + 10 What is the c'th term of 75, 162, 251, 342, 435, 530? c**2 + 84*c - 10 What is the y'th term of 62, 60, 58, 56? -2*y + 64 What is the a'th term of -658, -664, -672, -682, -694, -708? -a**2 - 3*a - 654 What is the p'th term of 560, 551, 532, 497, 440, 355, 236? -p**3 + p**2 - 5*p + 565 What is the l'th term of -28, -50, -86, -142, -224, -338? -l**3 - l**2 - 12*l - 14 What is the c'th term of 7716, 7710, 7694, 7662, 7608, 7526, 7410, 7254? -c**3 + c**2 - 2*c + 7718 What is the w'th term of 23, 20, 17? -3*w + 26 What is the p'th term of -440, -432, -424, -416? 8*p - 448 What is the f'th term of 0, 32, 100, 216, 392, 640? 2*f**3 + 6*f**2 - 8 What is the f'th term of -8, 10, 54, 136, 268, 462? 2*f**3 + f**2 + f - 12 What is the g'th term of -44, -101, -154, -203, -248, -289? 2*g**2 - 63*g + 17 What is the b'th term of 12, 11, 18, 39, 80? b**3 - 2*b**2 - 2*b + 15 What is the f'th term of 136, 135, 132, 127, 120? -f**2 + 2*f + 135 What is the w'th term of 1354, 1361, 1370, 1381, 1394, 1409? w**2 + 4*w + 1349 What is the x'th term of 57, 114, 171, 228, 285, 342? 57*x What is the f'th term of -449, -861, -1273, -1685? -412*f - 37 What is the r'th term of -185, -756, -1701, -3014, -4689, -6720, -9101, -11826? r**3 - 193*r**2 + r + 6 What is the m'th term of -5, 0, 19, 58, 123, 220? m**3 + m**2 - 5*m - 2 What is the l'th term of -58, -247, -564, -1009? -64*l**2 + 3*l + 3 What is the j'th term of 126, 142, 144, 126, 82, 6, -108? -j**3 - j**2 + 26*j + 102 What is the q'th term of 3, 1, -11, -39, -89, -167, -279? -q**3 + q**2 + 2*q + 1 What is the
{ "pile_set_name": "DM Mathematics" }
2. 1164 Find the common denominator of 139/396 and -187/360. 3960 What is the least common multiple of 16 and 466? 3728 Find the common denominator of -103/328 and -97/44. 3608 Find the common denominator of -103/56 and 83/4. 56 What is the common denominator of 54/175 and -143/1120? 5600 What is the smallest common multiple of 9 and 33? 99 What is the least common multiple of 8 and 640? 640 Find the common denominator of 32/33 and 71/93. 1023 Find the common denominator of -11/60 and -41/540. 540 What is the common denominator of 1/4572 and -73/27? 13716 Find the common denominator of -77/32 and -75/44. 352 Calculate the common denominator of -73/64 and 49/464. 1856 Calculate the least common multiple of 25 and 15. 75 Calculate the smallest common multiple of 72 and 243. 1944 Find the common denominator of -59/4870 and 35/4383. 43830 What is the smallest common multiple of 660 and 462? 4620 Calculate the common denominator of 39/2173 and -34/53. 2173 Calculate the common denominator of -23/968 and 61/7040. 77440 Calculate the smallest common multiple of 520 and 1170. 4680 Calculate the least common multiple of 1290 and 40. 5160 Find the common denominator of 59/52 and -61/156. 156 What is the lowest common multiple of 20 and 6? 60 What is the smallest common multiple of 22 and 110? 110 What is the smallest common multiple of 9 and 63? 63 Calculate the common denominator of 14/711 and 28/15. 3555 What is the common denominator of -89/110 and -3? 110 Find the common denominator of -59/238 and 35/2278. 15946 What is the smallest common multiple of 400 and 10? 400 What is the lowest common multiple of 512 and 4? 512 What is the smallest common multiple of 160 and 68? 2720 Find the common denominator of -16/21 and -73/180. 1260 What is the smallest common multiple of 18 and 156? 468 Calculate the common denominator of -119/80 and -57/6910. 55280 What is the common denominator of -1/1964 and 97/6? 5892 Calculate the common denominator of -5/54 and 19/54. 54 Calculate the common denominator of -57/52 and -21/13. 52 What is the least common multiple of 3508 and 32? 28064 Calculate the common denominator of 29/312 and 17/14. 2184 Calculate the common denominator of 81/20 and -51/874. 8740 Find the common denominator of -41/13294 and 145/6. 39882 What is the least common multiple of 8 and 462? 1848 Find the common denominator of -127/1980 and 127/60. 1980 Calculate the smallest common multiple of 45 and 27. 135 Calculate the lowest common multiple of 33 and 10. 330 What is the common denominator of -11/356 and -7/10? 1780 What is the lowest common multiple of 144 and 30? 720 Find the common denominator of 11/1764 and 73/36. 1764 Calculate the smallest common multiple of 205 and 369. 1845 What is the least common multiple of 20 and 166? 1660 Find the common denominator of 17/72 and -19/10. 360 What is the smallest common multiple of 12 and 68? 204 What is the common denominator of 81/212 and -95/848? 848 Find the common denominator of -65/16 and 151/18. 144 What is the smallest common multiple of 2432 and 192? 7296 What is the common denominator of -37/10 and 12/145? 290 Calculate the common denominator of -95/14 and 17/24. 168 Calculate the least common multiple of 1650 and 231. 11550 What is the smallest common multiple of 11335 and 10? 22670 Calculate the smallest common multiple of 3 and 291. 291 Calculate the common denominator of -29/328 and -49/451. 3608 What is the least common multiple of 2510 and 12? 15060 Find the common denominator of -5/2648 and 89/6. 7944 Calculate the smallest common multiple of 32 and 1700. 13600 What is the common denominator of 89/18 and -31/472? 4248 Calculate the common denominator of 69/2 and -17/62. 62 What is the common denominator of 199/2040 and 89/32? 8160 Calculate the smallest common multiple of 2 and 12. 12 What is the smallest common multiple of 147 and 1470? 1470 Calculate the lowest common multiple of 1408 and 660. 21120 What is the lowest common multiple of 11460 and 12606? 126060 Calculate the common denominator of -43/330 and -33/8. 1320 Find the common denominator of -101/50 and -23/30. 150 What is the common denominator of 107/442 and -33/8? 1768 What is the least common multiple of 12 and 52? 156 What is the lowest common multiple of 21 and 3480? 24360 What is the smallest common multiple of 6 and 3? 6 Find the common denominator of -31/2070 and -37/6. 2070 What is the common denominator of -7/8 and 37/254? 1016 What is the common denominator of -21/2524 and 28/5679? 22716 What is the smallest common multiple of 81 and 297? 891 Calculate the common denominator of 1/39 and 25/18. 234 What is the lowest common multiple of 51 and 2040? 2040 What is the smallest common multiple of 50 and 25? 50 Calculate the least common multiple of 6 and 963. 1926 Find the common denominator of 41/446 and -47/16. 3568 Find the common denominator of -23/11 and -57/7. 77 Calculate the smallest common multiple of 40 and 484. 4840 Calculate the least common multiple of 7 and 9. 63 Calculate the common denominator of -50/7 and 20/737. 5159 Calculate the lowest common multiple of 900 and 132. 9900 Calculate the least common multiple of 99 and 27. 297 Calculate the lowest common multiple of 200 and 888. 22200 What is the common denominator of 77/68 and -59/68? 68 Calculate the smallest common multiple of 33 and 81. 891 Calculate the lowest common multiple of 225 and 150. 450 Calculate the common denominator of 127/42 and 5/56. 168 Calculate the common denominator of -5/54 and 55/1134. 1134 What is the common denominator of -31/3668 and 13/8? 7336 What is the common denominator of -39/2500 and 43/875? 17500 Calculate the least common multiple of 9 and 7909. 71181 Calculate the smallest common multiple of 2472 and 15. 12360 What is the common denominator of -113/1254 and 107/10? 6270 What is the lowest common multiple of 14 and 88? 616 What is the least common multiple of 351 and 351? 351 What is the common denominator of 43/66 and -6/5? 330 Calculate the common denominator of -101/290 and 71/230. 6670 Calculate the smallest common multiple of 100 and 6. 300 What is the lowest common multiple of 1280 and 480? 3840 What is the lowest common multiple of 53 and 15? 795 What is the common denominator of -48/11 and 8/727? 7997 Calculate the least common multiple of 68 and 24. 408 What is the least common multiple of 36 and 126? 252 Calculate the common denominator of -79/4 and 57/8. 8 What is the smallest common multiple of 18 and 32? 288 Find the common denominator of -25/772 and -41/20. 3860 What is the smallest common multiple of 7585 and 370? 15170 Calculate the smallest common multiple of 90 and 36. 180 What is the lowest common multiple of 18 and 168? 504 Calculate the common denominator of 49/4 and -31/7. 28 What is the common denominator of -77/12 and -63/1816? 5448 What is the lowest common multiple of 1116 and 48? 4464 What is the smallest common multiple of 608 and 3496? 13984 Calculate the common denominator of -39 and -63/6266. 6266 Calculate the common denominator of 29/327 and 113/102. 11118 What is the lowest common multiple of 18 and 33? 198 What is the common denominator of 107/30 and -137/420? 420 Calculate the smallest common multiple of 1533 and 2190. 15330 Calculate the common denominator of 57/116 and 7/116. 116 What is the lowest common multiple of 237 and 9? 711 Calculate the common denominator of 53/28 and -151/546. 1092 What is the smallest common multiple of 12 and 120? 120 Calculate the lowest common multiple of 14 and 5. 70 Find the common denominator of 5/132 and -69/8. 264 Calculate the common denominator of 79/1276 and 57/16. 5104 What is the common denominator of 41/4292 and 63/20? 21460 What is the common denominator of -35/2634 and -19/60? 26340 What is the lowest common multiple of 3 and 4458? 4458 What is the lowest common multiple of 364 and 18? 3276 What is the lowest common multiple of 130 and 10? 130 What is the common denominator of -17/9 and 23/2? 18 Calculate the common denominator of -113/56 and -127/70. 280 Calculate the lowest common multiple of 45 and 90. 90 Calculate the common denominator of -49/30 and -151/3498. 17490 What is the common denominator of -49/68 and -149/72? 1224
{ "pile_set_name": "DM Mathematics" }
of 1101 to the nearest integer? 10 What is the third root of 101 to the nearest integer? 5 What is the fourth root of 769 to the nearest integer? 5 What is 512 to the power of 1/2, to the nearest integer? 23 What is the third root of 8979 to the nearest integer? 21 What is the sixth root of 57226 to the nearest integer? 6 What is the cube root of 6419 to the nearest integer? 19 What is 4657 to the power of 1/2, to the nearest integer? 68 What is the third root of 30281 to the nearest integer? 31 What is 24611 to the power of 1/3, to the nearest integer? 29 What is the square root of 733 to the nearest integer? 27 What is 2365 to the power of 1/8, to the nearest integer? 3 What is 129393 to the power of 1/3, to the nearest integer? 51 What is the cube root of 104848 to the nearest integer? 47 What is 12370 to the power of 1/3, to the nearest integer? 23 What is 5073 to the power of 1/8, to the nearest integer? 3 What is 53 to the power of 1/2, to the nearest integer? 7 What is the fourth root of 520 to the nearest integer? 5 What is 706 to the power of 1/2, to the nearest integer? 27 What is 10661 to the power of 1/2, to the nearest integer? 103 What is the seventh root of 2908 to the nearest integer? 3 What is the fourth root of 8353 to the nearest integer? 10 What is 62 to the power of 1/3, to the nearest integer? 4 What is 53702 to the power of 1/10, to the nearest integer? 3 What is the square root of 2522 to the nearest integer? 50 What is 5888 to the power of 1/2, to the nearest integer? 77 What is the third root of 7343 to the nearest integer? 19 What is 30868 to the power of 1/2, to the nearest integer? 176 What is the third root of 52290 to the nearest integer? 37 What is 328 to the power of 1/2, to the nearest integer? 18 What is the seventh root of 401 to the nearest integer? 2 What is 410 to the power of 1/10, to the nearest integer? 2 What is 10765 to the power of 1/3, to the nearest integer? 22 What is the tenth root of 1280 to the nearest integer? 2 What is 17969 to the power of 1/2, to the nearest integer? 134 What is 1199 to the power of 1/9, to the nearest integer? 2 What is the third root of 1327 to the nearest integer? 11 What is 27584 to the power of 1/2, to the nearest integer? 166 What is the cube root of 1792 to the nearest integer? 12 What is 3246 to the power of 1/3, to the nearest integer? 15 What is the fourth root of 8225 to the nearest integer? 10 What is 665 to the power of 1/3, to the nearest integer? 9 What is the square root of 57771 to the nearest integer? 240 What is 10636 to the power of 1/2, to the nearest integer? 103 What is the fifth root of 113037 to the nearest integer? 10 What is 16441 to the power of 1/2, to the nearest integer? 128 What is 7011 to the power of 1/8, to the nearest integer? 3 What is the seventh root of 5633 to the nearest integer? 3 What is the third root of 598 to the nearest integer? 8 What is the third root of 2740 to the nearest integer? 14 What is the tenth root of 3755 to the nearest integer? 2 What is the square root of 1951 to the nearest integer? 44 What is 697 to the power of 1/2, to the nearest integer? 26 What is the square root of 12147 to the nearest integer? 110 What is 1312 to the power of 1/9, to the nearest integer? 2 What is 7966 to the power of 1/5, to the nearest integer? 6 What is the square root of 102450 to the nearest integer? 320 What is the cube root of 17866 to the nearest integer? 26 What is the cube root of 4191 to the nearest integer? 16 What is the square root of 2289 to the nearest integer? 48 What is the ninth root of 8468 to the nearest integer? 3 What is 2259 to the power of 1/2, to the nearest integer? 48 What is the cube root of 39827 to the nearest integer? 34 What is the seventh root of 52 to the nearest integer? 2 What is the ninth root of 2175 to the nearest integer? 2 What is 2935 to the power of 1/4, to the nearest integer? 7 What is 661 to the power of 1/9, to the nearest integer? 2 What is 41515 to the power of 1/3, to the nearest integer? 35 What is the ninth root of 271 to the nearest integer? 2 What is the cube root of 369 to the nearest integer? 7 What is the square root of 139351 to the nearest integer? 373 What is the square root of 4834 to the nearest integer? 70 What is the cube root of 834 to the nearest integer? 9 What is the cube root of 881 to the nearest integer? 10 What is 1354 to the power of 1/10, to the nearest integer? 2 What is 1810 to the power of 1/2, to the nearest integer? 43 What is the third root of 10063 to the nearest integer? 22 What is 1932 to the power of 1/3, to the nearest integer? 12 What is 876 to the power of 1/2, to the nearest integer? 30 What is 3592 to the power of 1/4, to the nearest integer? 8 What is 6506 to the power of 1/3, to the nearest integer? 19 What is 1745 to the power of 1/3, to the nearest integer? 12 What is the third root of 627 to the nearest integer? 9 What is 4777 to the power of 1/3, to the nearest integer? 17 What is the square root of 620 to the nearest integer? 25 What is 3598 to the power of 1/8, to the nearest integer? 3 What is 1664 to the power of 1/2, to the nearest integer? 41 What is the square root of 4036 to the nearest integer? 64 What is the square root of 38791 to the nearest integer? 197 What is 38292 to the power of 1/2, to the nearest integer? 196 What is 40079 to the power of 1/9, to the nearest integer? 3 What is the square root of 5282 to the nearest integer? 73 What is the third root of 3130 to the nearest integer? 15 What is 1896 to the power of 1/2, to the nearest integer? 44 What is the third root of 4528 to the nearest integer? 17 What is the square root of 94507 to the nearest integer? 307 What is 2689 to the power of 1/3, to the nearest integer? 14 What is 37783 to the power of 1/4, to the nearest integer? 14 What is the square root of 5505 to the nearest integer? 74 What is the square root of 4525 to the nearest integer? 67 What is the cube root of 1097 to the nearest integer? 10 What is the ninth root of 2717 to the nearest integer? 2 What is 86601 to the power of 1/7, to the nearest integer? 5 What is 79111 to the power of 1/2, to the nearest integer? 281 What is the fifth root of 1654 to the nearest integer? 4 What is the seventh root of 34956 to the nearest integer? 4 What is 2615 to the power of 1/3, to the nearest integer? 14 What is 506 to the power of 1/9, to the nearest integer? 2 What is 1140 to the power of 1/5, to the nearest integer? 4 What is the third root of 696 to the nearest integer? 9 What is 79812 to the power of 1/2, to the nearest integer? 283 What is the fourth root of 136888 to the nearest integer? 19 What is the cube root of 6575 to the nearest integer? 19 What is the third root of 17674 to the nearest integer? 26 What is the cube root of 2775 to the nearest integer? 14 What is 11483 to the power of 1/2, to the nearest integer? 107 What is 89913 to the power of 1/2, to the nearest integer? 300 What is the cube root of 3920 to the nearest integer? 16 What is 3382 to the power of 1/4, to the nearest integer? 8 What is 2197 to the power of 1/3, to the nearest integer? 13 What is the eighth root of 3836 to the nearest integer? 3 What is the third root of 2544 to the nearest integer? 14 What is the cube root of 22703 to the nearest integer? 28 What is the cube root of 2583 to the nearest integer? 14 What is the cube root of 3543 to the nearest integer? 15 What is the sixth root of 794 to the nearest integer? 3 What is the ninth root of 7683 to the nearest integer? 3 What is the seventh root of 29050 to the nearest integer? 4 What is 3757 to the power of 1/3, to the nearest integer? 16 What is the third root of 29452 to the nearest integer? 31 What is 1067 to the power of 1/2, to the nearest integer? 33 What is 14479 to the power of 1/3, to the nearest integer? 24 What is the square root of 26852 to the nearest integer? 164 What is the sixth root of 1100 to the nearest integer? 3 What is 2630 to the power of 1/3, to the nearest integer? 14 What is 45089 to the power of 1/2, to the nearest integer? 212 What is 5874 to the power of 1/8, to the nearest integer? 3 What is the third root of 142659 to the nearest integer? 52 What is
{ "pile_set_name": "DM Mathematics" }
e hundred thousands digit of 4479198? 4 What is the thousands digit of 311080? 1 What is the units digit of 758396? 6 What is the thousands digit of 3102030? 2 What is the millions digit of 1732184? 1 What is the ten thousands digit of 238609? 3 What is the hundreds digit of 2752898? 8 What is the ten thousands digit of 18058? 1 What is the units digit of 1229439? 9 What is the ten thousands digit of 222342? 2 What is the hundred thousands digit of 1655063? 6 What is the units digit of 353210? 0 What is the hundreds digit of 15816104? 1 What is the thousands digit of 44590? 4 What is the thousands digit of 4447094? 7 What is the tens digit of 16011485? 8 What is the tens digit of 18000681? 8 What is the hundreds digit of 11626056? 0 What is the thousands digit of 234372? 4 What is the ten thousands digit of 90164? 9 What is the ten thousands digit of 88089? 8 What is the units digit of 321610? 0 What is the millions digit of 14619256? 4 What is the millions digit of 4925346? 4 What is the hundreds digit of 2865337? 3 What is the hundred thousands digit of 351113? 3 What is the hundreds digit of 4929994? 9 What is the hundred thousands digit of 5442045? 4 What is the units digit of 240258? 8 What is the millions digit of 1759922? 1 What is the units digit of 855896? 6 What is the units digit of 110629? 9 What is the units digit of 27015? 5 What is the units digit of 1845797? 7 What is the units digit of 5589610? 0 What is the thousands digit of 1949495? 9 What is the hundreds digit of 78704? 7 What is the hundred thousands digit of 816787? 8 What is the hundreds digit of 2229705? 7 What is the hundred thousands digit of 36755311? 7 What is the hundreds digit of 586271? 2 What is the ten thousands digit of 637647? 3 What is the tens digit of 26071515? 1 What is the tens digit of 9124923? 2 What is the thousands digit of 5444030? 4 What is the tens digit of 4885543? 4 What is the units digit of 1307314? 4 What is the hundred thousands digit of 172784? 1 What is the units digit of 10161082? 2 What is the millions digit of 2803422? 2 What is the units digit of 29552? 2 What is the units digit of 829991? 1 What is the ten thousands digit of 4985827? 8 What is the hundreds digit of 2137706? 7 What is the ten thousands digit of 16520554? 2 What is the tens digit of 111009? 0 What is the units digit of 64654? 4 What is the units digit of 17153926? 6 What is the hundred thousands digit of 2821975? 8 What is the tens digit of 7894275? 7 What is the ten thousands digit of 22607? 2 What is the tens digit of 253576? 7 What is the units digit of 1675592? 2 What is the ten thousands digit of 121813? 2 What is the units digit of 229261? 1 What is the hundreds digit of 730720? 7 What is the ten thousands digit of 1121559? 2 What is the hundreds digit of 10802219? 2 What is the units digit of 299322? 2 What is the hundred thousands digit of 393584? 3 What is the tens digit of 7505962? 6 What is the ten thousands digit of 122603? 2 What is the thousands digit of 1017? 1 What is the units digit of 6859746? 6 What is the hundreds digit of 30459119? 1 What is the millions digit of 10001706? 0 What is the units digit of 34463496? 6 What is the thousands digit of 320719? 0 What is the thousands digit of 696001? 6 What is the thousands digit of 6709113? 9 What is the ten thousands digit of 24239055? 3 What is the hundred thousands digit of 225030? 2 What is the thousands digit of 3457724? 7 What is the millions digit of 1487947? 1 What is the tens digit of 146993? 9 What is the thousands digit of 671583? 1 What is the tens digit of 312036? 3 What is the hundred thousands digit of 3457697? 4 What is the tens digit of 4765962? 6 What is the ten thousands digit of 907777? 0 What is the tens digit of 11211434? 3 What is the hundred thousands digit of 11009398? 0 What is the hundred thousands digit of 165353? 1 What is the hundred thousands digit of 11408017? 4 What is the hundred thousands digit of 935919? 9 What is the tens digit of 151847? 4 What is the ten thousands digit of 331205? 3 What is the hundreds digit of 1166837? 8 What is the hundred thousands digit of 7017410? 0 What is the units digit of 43308? 8 What is the hundreds digit of 564411? 4 What is the ten thousands digit of 9491970? 9 What is the units digit of 19879509? 9 What is the units digit of 3430405? 5 What is the ten thousands digit of 248005? 4 What is the tens digit of 383931? 3 What is the units digit of 3821339? 9 What is the ten thousands digit of 7158195? 5 What is the hundreds digit of 257921? 9 What is the hundreds digit of 172632? 6 What is the ten thousands digit of 18152843? 5 What is the units digit of 6450453? 3 What is the ten thousands digit of 17110635? 1 What is the thousands digit of 7979677? 9 What is the ten millions digit of 30774327? 3 What is the thousands digit of 298746? 8 What is the hundred thousands digit of 3078010? 0 What is the hundred thousands digit of 26047895? 0 What is the tens digit of 835154? 5 What is the ten thousands digit of 250871? 5 What is the hundreds digit of 21856094? 0 What is the units digit of 4868275? 5 What is the units digit of 2241721? 1 What is the ten thousands digit of 12425348? 2 What is the millions digit of 2093713? 2 What is the hundreds digit of 340270? 2 What is the hundreds digit of 132364? 3 What is the millions digit of 27259836? 7 What is the units digit of 256255? 5 What is the ten thousands digit of 10508332? 0 What is the hundred thousands digit of 14465325? 4 What is the hundred thousands digit of 3631467? 6 What is the hundred thousands digit of 258835? 2 What is the ten thousands digit of 14378610? 7 What is the millions digit of 2628450? 2 What is the ten thousands digit of 1032678? 3 What is the ten thousands digit of 125809? 2 What is the ten thousands digit of 1543396? 4 What is the tens digit of 450496? 9 What is the thousands digit of 24369156? 9 What is the ten thousands digit of 40502? 4 What is the thousands digit of 16534098? 4 What is the units digit of 4715394? 4 What is the hundred thousands digit of 618856? 6 What is the units digit of 1912246? 6 What is the hundred thousands digit of 2379406? 3 What is the hundred thousands digit of 165117? 1 What is the millions digit of 1386318? 1 What is the units digit of 4845653? 3 What is the ten thousands digit of 265625? 6 What is the tens digit of 3898711? 1 What is the thousands digit of 282916? 2 What is the thousands digit of 301615? 1 What is the units digit of 18790846? 6 What is the ten thousands digit of 15845182? 4 What is the millions digit of 2369542? 2 What is the millions digit of 12495141? 2 What is the hundred thousands digit of 803651? 8 What is the hundred thousands digit of 4620433? 6 What is the hundreds digit of 2770939? 9 What is the ten thousands digit of 15017757? 1 What is the ten thousands digit of 832579? 3 What is the tens digit of 366134? 3 What is the hundreds digit of 606460? 4 What is the millions digit of 5226645? 5 What is the thousands digit of 4115116? 5 What is the hundreds digit of 518643? 6 What is the hundred thousands digit of 134826? 1 What is the thousands digit of 209660? 9 What is the millions digit of 26091251? 6 What is the ten thousands digit of 2173572? 7 What is the hundred thousands digit of 4655620? 6 What is the ten thousands digit of 1552647? 5 What is the thousands digit of 127588? 7 What is the tens digit of 2070651? 5 What is the ten thousands digit of 18691048? 9 What is the hundreds digit of 71390? 3 What is the millions digit of 5502025? 5 What is the tens digit of 4504341? 4 What is the millions digit of 3164394? 3 What is the thousands digit of 13105290? 5 What is the tens digit of 8485451? 5 What is the hundreds digit of 33338? 3 What is the hundred thousands digit of 23083145? 0 What is the hundred thousands digit of 10611554? 6 What is the tens digit of 3261? 6 What is the thousands digit of 1929653? 9 What is the ten thousands digit of 807089? 0 What is the hundreds digit of 1859924? 9 What is the hundreds digit of 17474? 4 What is the ten thousands digit of 5522475? 2 What is the hundreds digit of 666560? 5 What is the hundreds digit of 4547329? 3 What is the units digit of 604954? 4 What is the tens dig
{ "pile_set_name": "DM Mathematics" }
replacement from {a: 1, r: 5, s: 3, p: 1}. 1/6 Two letters picked without replacement from kqqaqaqqaqqqqqkqq. What is prob of sequence qk? 3/34 What is prob of sequence wo when two letters picked without replacement from {t: 1, y: 6, o: 2, x: 6, w: 2}? 1/68 Four letters picked without replacement from cwwwcww. Give prob of sequence wwwc. 1/7 What is prob of sequence jz when two letters picked without replacement from dzoohoohjhoqoqz? 1/105 Three letters picked without replacement from {e: 1, q: 7, n: 2, s: 2}. What is prob of sequence nne? 1/660 Four letters picked without replacement from yssysyrry. What is prob of sequence rssr? 1/252 What is prob of sequence kwfd when four letters picked without replacement from {o: 1, f: 3, d: 1, z: 5, k: 2, w: 3}? 1/1820 Calculate prob of sequence dpd when three letters picked without replacement from dupwwdstpddt. 1/55 Calculate prob of sequence pnvv when four letters picked without replacement from iipvhvwvhhwnvn. 1/1001 Three letters picked without replacement from yuyeeyyuevv. Give prob of sequence vvy. 4/495 Three letters picked without replacement from wvhxn. What is prob of sequence nvw? 1/60 Three letters picked without replacement from {b: 1, t: 3, c: 2, e: 1, m: 7}. What is prob of sequence ecb? 1/1092 Two letters picked without replacement from {q: 1, o: 2, t: 6, c: 5, a: 3}. What is prob of sequence co? 5/136 Three letters picked without replacement from {v: 1, h: 1, q: 1, g: 2, r: 2, o: 1}. Give prob of sequence vrv. 0 Three letters picked without replacement from {y: 1, d: 3, a: 1, n: 4, l: 2}. What is prob of sequence lnn? 4/165 What is prob of sequence zvi when three letters picked without replacement from {q: 4, v: 2, i: 3, z: 2, t: 3, y: 4}? 1/408 Four letters picked without replacement from {j: 5, e: 4, v: 3}. What is prob of sequence ejej? 2/99 What is prob of sequence cco when three letters picked without replacement from fccocockkkokk? 3/143 Three letters picked without replacement from piipii. Give prob of sequence pii. 1/5 Calculate prob of sequence kf when two letters picked without replacement from {k: 12, f: 6}. 4/17 Two letters picked without replacement from {q: 5, g: 2}. Give prob of sequence qg. 5/21 Two letters picked without replacement from eolwwe. Give prob of sequence lw. 1/15 What is prob of sequence jg when two letters picked without replacement from jjgjjjgggjj? 14/55 Two letters picked without replacement from uttuuuuuuuu. What is prob of sequence ut? 9/55 Three letters picked without replacement from wwssssswwwss. Give prob of sequence ssw. 7/44 Four letters picked without replacement from xxxmxxxxxxxxxxxxxx. Give prob of sequence xmxx. 1/18 Calculate prob of sequence vv when two letters picked without replacement from vfvvvvvv. 3/4 Three letters picked without replacement from swswswlww. Give prob of sequence slw. 5/168 Calculate prob of sequence as when two letters picked without replacement from {p: 1, d: 2, s: 1, a: 4, h: 1}. 1/18 What is prob of sequence ty when two letters picked without replacement from {t: 3, y: 1, f: 4}? 3/56 Four letters picked without replacement from jgfppppii. Give prob of sequence iijf. 1/1512 Four letters picked without replacement from {o: 7, x: 5}. What is prob of sequence oxxo? 7/99 Two letters picked without replacement from tcbtbbtttcqrtbbbcqb. Give prob of sequence qc. 1/57 What is prob of sequence bguu when four letters picked without replacement from {u: 5, g: 8, b: 7}? 28/2907 Four letters picked without replacement from angaaasp. What is prob of sequence sppp? 0 What is prob of sequence sk when two letters picked without replacement from {i: 4, s: 4, k: 6}? 12/91 What is prob of sequence wtjt when four letters picked without replacement from wwtwjwtjjtwjjtjjjjw? 9/1292 Two letters picked without replacement from xvvlvxlllvlsvdvd. Give prob of sequence dv. 1/20 Three letters picked without replacement from {t: 2, n: 2, p: 10}. Give prob of sequence tpt. 5/546 Two letters picked without replacement from yynyyyyyyyyyy. What is prob of sequence yy? 11/13 Four letters picked without replacement from xnxnnnxnonxernnnox. Give prob of sequence xnre. 1/1632 Two letters picked without replacement from pbpbpkbbakbpbakg. Give prob of sequence ap. 1/30 Three letters picked without replacement from {f: 1, m: 3, g: 2, j: 1}. What is prob of sequence jgg? 1/105 Three letters picked without replacement from {a: 18, c: 2}. Give prob of sequence cca. 1/190 Two letters picked without replacement from wwllllwwwl. Give prob of sequence ww. 2/9 Three letters picked without replacement from zlqllzqqqlqz. What is prob of sequence lzz? 1/55 Four letters picked without replacement from {h: 3, v: 4, w: 6}. What is prob of sequence wwhh? 3/286 Three letters picked without replacement from {n: 1, y: 1, o: 3, x: 4, t: 4}. Give prob of sequence xyt. 4/429 Four letters picked without replacement from aaaafaaaaaoaao. Give prob of sequence oafo. 1/1092 What is prob of sequence cnci when four letters picked without replacement from {i: 2, c: 4, m: 1, n: 2, p: 5, k: 1}? 2/1365 Three letters picked without replacement from {g: 7, o: 2, c: 3}. Give prob of sequence ccg. 7/220 Three letters picked without replacement from mfnfnfnfnnfbfbfffbn. Give prob of sequence mbn. 1/323 Two letters picked without replacement from {a: 2, h: 3, x: 1, k: 4, c: 2}. What is prob of sequence ca? 1/33 What is prob of sequence gao when three letters picked without replacement from {b: 4, o: 2, r: 2, g: 4, a: 1, x: 2}? 4/1365 Three letters picked without replacement from {v: 13, x: 2, a: 3}. Give prob of sequence vav. 13/136 Two letters picked without replacement from {g: 1, l: 2, d: 1, x: 1, f: 1, u: 1}. What is prob of sequence ug? 1/42 Four letters picked without replacement from {y: 3, f: 3}. Give prob of sequence fyyy. 1/20 Three letters picked without replacement from {h: 1, o: 3}. Give prob of sequence hoo. 1/4 Three letters picked without replacement from itjti. What is prob of sequence jit? 1/15 Four letters picked without replacement from eekkzszzxzezsnszxeez. What is prob of sequence knsx? 1/9690 Three letters picked without replacement from dddyjeod. What is prob of sequence yeo? 1/336 Calculate prob of sequence dhdv when four letters picked without replacement from {d: 3, v: 11, h: 1}. 11/5460 What is prob of sequence rpp when three letters picked without replacement from {p: 2, c: 4, r: 8}? 2/273 Two letters picked without replacement from {g: 6, j: 4, b: 2}. What is prob of sequence bj? 2/33 Three letters picked without replacement from tijijiiik. Give prob of sequence tjk. 1/252 What is prob of sequence ct when two letters picked without replacement from {d: 1, t: 4, c: 3, a: 2}? 2/15 Two letters picked without replacement from dddd. Give prob of sequence dd. 1 Two letters picked without replacement from {p: 1, q: 2, v: 1, x: 2, n: 5, s: 2}. What is prob of sequence qp? 1/78 What is prob of sequence mi when two letters picked without replacement from {p: 4, g: 1, d: 1, i: 2, m: 2, n: 7}? 1/68 What is prob of sequence fjd when three letters picked without replacement from {j: 2, f: 1, d: 2, a: 1, t: 1}? 2/105 Calculate prob of sequence et when two letters picked without replacement from tteettettet. 14/55 Three letters picked without replacement from eveccecice. What is prob of sequence cce? 1/15 Three letters picked without replacement from yeeeeyee. What is prob of sequence eyy? 1/28 Calculate prob of sequence mnm when three letters picked without replacement from nnmmnm. 3/20 Two letters picked without replacement from nmqfmnmm. Give prob of sequence mq. 1/14 Four letters picked without replacement from llubblublub. What is prob of sequence lbbu? 1/55 What is prob of sequence qk when two letters picked without replacement from qnkkbbrkbn? 1/30 Two letters picked without replacement from {n: 14, m: 5}. Give prob of sequence mm. 10/171 Three letters picked without replacement from mbmmbmm. What is prob of sequence bmm? 4/21 Three letters picked without replacement from qrrrrqrrrrqrrr. What is prob of sequence qqq? 1/364 Three letters picked without replacement from vvvvvvvvvvvvx. What is prob of sequence vvx? 1/13 Two letters picked without replacement from {a: 7
{ "pile_set_name": "DM Mathematics" }
a = -172 + 176. Let x = a - 0. Solve -5*n + 20 = 0, -25 = -3*q + 6*q - x*n for q. -3 Suppose 6220*t - 6227*t + 14 = 0. Solve -t*k + 3*k = -5*q - 6, -q - 4*k = 5 for q. -1 Suppose 13*o - 1144 + 1105 = 0. Solve 2*h - 7*h - 15 = 2*i, h = -5*i - o for i. 0 Let w(u) = 3*u**3 + 7*u**2 - 6*u - 1. Let l be w(1). Let j = -121 - -130. Solve 0 = 4*y - l*m - 27, -2*y - j + 30 = -3*m for y. 3 Let v = 226 - -62. Suppose -10*n = -2*n - v. Suppose -18*a - n = -24*a. Solve -t - a + 3 = -2*d, 2*d = 2*t for t. 3 Suppose -p + 8 - 12 = 0. Let j be 2/(0 - p/4*1). Suppose 2*u - 3 = -w, j*w + 2 - 8 = 5*u. Solve 0 = -5*h - 3*s - 2 + 4, w*h - s = -10 for h. -2 Let y(p) = p**2 + 11*p + 4. Let g = -72 - -108. Let t = g - 47. Let n be y(t). Solve -4*x - 4 = -n*m, -7 = -m - 2*m + 2*x for m. 5 Suppose 4*w - 188 = -2*s, 4*w - 3 = 1. Let k = -88 + s. Suppose -k + 10 = 3*c. Solve 2 = c*t - 3*n, t + 10 = 2*t + 3*n for t. 4 Let u = 12 + -2. Let r be 28/5 - (-4)/u. Suppose -3*a - 347 = 4*k - 345, 0 = a + k. Solve a*y = 3*z + 2*z - r, z = -y - 3 for y. -3 Let a = 1122 + -1121. Solve 0 = -5*n - i - 11 + a, 0 = 3*i + 15 for n. -1 Suppose 4*g + 0 = -3*k - 2, -3*k = 3*g - 3. Suppose k - 48 = -3*f. Let n = -12 + f. Solve -t + 1 = -u - 2*t, -2*t + 18 = -n*u for u. -5 Let h(o) be the third derivative of -o**4/24 + 4*o**3/3 + 3*o**2. Let c be h(8). Let v be (c/(2/2)*-1)/(-1). Solve v*f - 9 = 3*f - 3*s, 5*f = -4*s + 21 for f. 1 Suppose q - 6*q + 16 = f, 3*q - 10 = -f. Let h be (-10)/q*(-18)/15. Suppose -618*a = -3761 + 53. Solve 2*n - 4*o = -h, 3*n - 3 = o + a for n. 4 Suppose 19 = 3*c + 4*i, 2*i = 2*c + 412 - 420. Solve 21*p - 18*p - 2*v = -3, 4*v = 5*p + c for p. -1 Let l be -2*(-18)/(-16)*980/(-147). Solve 5*k = 2*x - l, -5*x - 3*k - 9 = -3*x for x. 0 Let m(c) = -1941*c - 7759. Let l be m(-4). Solve 0 = l*z + 5*x - 10, -z = -x + 2 + 2 for z. -1 Suppose 3*c - 49 = -2*v, 7*v + 4 = 9*v. Solve 0 = z - j + 2 - 0, -5*j = -c for z. 1 Let y be 1*(-4)/(2*-2). Let x(u) = -3*u**2 + 23*u + 11. Let k be x(8). Suppose -k*o = 9, 4*o = -v + y - 4. Solve 5*m - 2 = -5*f - 12, -3*m + v = 0 for f. -5 Let u be (-22 + 18)/((-8)/22). Suppose 2*w + 0*w - 4*c = 4, 3*w + 3*c + 3 = 0. Solve 0 = y - w*j + j - 7, 5*y - 3*j = u for y. 4 Let b(w) = w**2 + 2*w - 7. Let q be b(11). Suppose -5*h = q + 89. Let z = h + 65. Solve -5*n = 3*m + 10, 0*m = -5*n + 3*m + z for n. 1 Suppose -11*y = 98 + 331. Let p = y + 39. Let n be (15 + 0 + -1)/(1 - p). Solve 2 = 2*r + 2*b, -n + 5 = -3*r + 3*b for r. 2 Suppose 6*f - 4*f - 5*u = 116, -5*f = -u - 336. Suppose 19*q - 8 - f = 0. Solve -b = -4*d - 23, 2*b = -q*d - 0*b - 14 for d. -5 Let l(t) = -t**3 - 7*t**2 + 5*t - 4. Let o be l(-8). Suppose 2*c - 2*b - o = 0, 2*c + 4*b - 1 = -11. Solve -5*p - 16 = w, -w + c*w = -3*p - 13 for w. -1 Let h be (-8)/((-48)/(-27) + -2). Let g be 6/(-15) - h/(-15). Let a = -20 + 23. Solve -5*y - k + 2 = -2*y, -g*y - a*k = -6 for y. 0 Suppose 3*b - 55 = 5*t, 5 = b - 0*t + t. Solve -6*j + 2*d - b = -2*j, j - 2*d + 1 = 0 for j. -3 Let w(t) = -18*t - 14. Let c be w(-3). Let a = c - 38. Suppose -2*r - 50 = -4*y, 0 = 5*y - 2*r - 0*r - 64. Solve -a*f - k = 3*k - y, -4*k = -4*f - 8 for f. 1 Let j be (-1 - 1106/4)*(7 + -5). Let s = -551 - j. Solve -r = 4*l - 23, -4*l - s*r - r + 35 = 0 for l. 5 Suppose 5*s - 159 = -259. Let y be (-2)/(8/1)*s. Solve a = 5*f + 9, 0 = -y*a - 5*f - 10 - 5 for a. -1 Let s be (-50)/(-3) - (-4)/(-6). Suppose -3*j - s = d, -2*d + 4*j - 6 = -14. Let u be d*(-2 - -1) - 2. Solve h - 6*h = -u*m - 3, -3*m = 2*h - 5 for h. 1 Suppose -44*i = -43*i - 2. Suppose 46 = -4*n - 2*o, -2*n = -0*n + i*o + 26. Let f = 14 + n. Solve -f*t + 3*x = 21, 5*t - 3*t + 3 = -x for t. -3 Let v be -101 + ((-3)/6)/((-3)/(-24)). Let o be (-16)/(-10) + 63/v. Solve 5*h - n - 7 = -o, -5*h + 14 = n for h. 2 Suppose 0 = 10*j - 25*j - 82*j. Solve 11*u - 6*u + x + 5 = j, 17 = 4*u + 5*x for u. -2 Suppose 19*d - 396 = -179*d. Solve d*c - c = -2, -2*c = 5*r - 21 for r. 5 Let r = -742 - -754. Suppose 26*l = 22*l - 4, -2*l = d - r. Solve -c + 2*o + 4 = 0, -4*c - o - o - d = 0 for c. -2 Let r = -4131 - -4133. Solve -2*c + 16 = -94*y + 99*y, -r*y = c - 7 for c. 3 Let j = 104 - 95. Suppose -l + 800 = j*l. Let z = -76 + l. Solve -4*c + 5*c - 2*k - 8 = 0, -c - z = 2*k for c. 2 Suppose -46*g - 42*g - 19 + 371 = 0. Solve 10 = g*c + 3*x, 19*c - 5*x = 23*c - 14 for c. 1 Let p be -1*(6 + -19) - (1 + 3). Solve -3*i - p = -2*x, -x = -2*i - 26 + 21 for i. -1 Let a be 637/26 - 10/4. Solve 4*j = 2*g + a, -8*g = -6*g + 10 for j. 3 Let y(s) = s**2 - 8*s - 27. Let q(l) = -12*l**3 - 2*l**2 - l. Let c be q(-1). Let u be y(c). Suppose 5*z = 7*z - u. Solve t + 3*b = -5, 2*b - b = t - z for t. 1 Suppose 0 = -24*l + 25*l - 305. Suppose 0 = 4*o - 2*u - 398, o + 5*u - l = -2*o. Let w = -97 + o. Solve p - 5*r + 22 = -0*r, -w*r = p - 18 for p. 3 Let i(l) = l**2 + 48*l + 5. Let h be i(0). Solve 8*b = 5*k + 49, -7 = -4*k - h*b - 12 for k. -5 Let s(t) = -2*t**3 + 26*t**2 - 26*t + 30. Let y = 437 - 425. Let g be s(y). Solve 3*w = g*w + i - 13, 5*w - 2*i = 18 for w. 4 Suppose -10*r + 201 - 131 = 0. Suppose 3*f - 25 = -5*x, 0 = -5*x + r*f - 2*f - 15. Solve 4*i - 8 = -4*s, 0 = x*s - 9*i + 7*i - 16 for s. 5 Let p(c) = 3*c + 203. Let h(x) = -6*x - 201. Let j(a) = 5*h(a) + 4*p(a). Let g be j(-11). Solve -k + q = 9, 2 = 4*k - g*q + 43 for k. -4 Let q be (-225)/(-135)*(0 + 3). Solve q*r + p - 28 = -0*p, 5*r = -2*p + 31 for r. 5 Let r(z) = 24*z - 41 - 23*z**2 + 15*z**3 - 26*z**3 + 20*z + 12*z**3. Let g be r(21). Solve 0 = 4*v - 2*j, g = 5*v - 3*j + j for v. 1 Let p = -424 + 629. Let d = -203 + p. Solve 3*r - 5*m - d = -3*m, -4*r = 4*m + 4 for r. 0 Let t(v) = -3*v**3 - 17*v**2 - 19*v. Let a be t(-1). Solve -3*n - a*s - 13 = 0, -2*n - 2*n + 4*s = -4 for n. -1 Let s(u) = -3*u - 2. Let f be s(6). Let c = 30 + f. Suppose -1057*o = -527*o - 542*o + 72. Solve 4*j + c = -3*h + o*j, 0 = h + 5*j + 9 for h. -4 Suppose 3*h = 0, -5*h = -2*d + 6 + 4. Suppose -j - 40 = -5*m - 5*j, -4*j = -d*m. Solve a = m*f + 15, -a - 3*f - 11 - 9 = 0 for a. -5 Let r = 4390 - 4383. Solve 4*v - 16 = 5*p, -p - 4*v - r = 1 for p. -4 Suppose -2*x + 345 = 335. Suppose -g = 3*m - 14 + 3, 0 = 5*m + x*g - 35. Solve 0*v = 5*p - 2*v - 18, -m*v - 14 = -4*p for p. 4 Let l be 3220/322*3/10. Solve 0 = g + 5*s, 6*g = 4*g - l*s for g. 0 Let c = 267 - 276. Let i be (-4)/(-10) - c*(-4)/90. Solve -5*z = g + g - 11, -4*g - z - 5 = i for g. -2 Suppose 10*x + d = 16*x - 7, -9 = -2*x - d. Solve 14 = 7*r - 4*r + x*o, -2*o - 14 = -4*r for r. 4 Let z = -506 - -726. Let u be (z/(-35))/((-12)/42). Solve 0 = -4*n - 2*y + u, -4*n - 4*y + 32 = -0*y for n. 3 Let j be -4 - (-1 + 2)*-4. Suppose j = -6*r + 16 + 14. Solve -3*z = r*t + 3, 0 = -5*t + t - 2*z - 2 for t. 0 Let s be 5/(20/126*((-42)/8 + 7)). Solve -13*b = -8*b + 2*p - 5, -b + 3*p + s = 0 for b. 3 Suppose 146*c + 259 = 843. Solve 2*g - 7 = 5*d + 4*g, 4*d + c*g = -20 for d. 1 Let g be (-70)/(-105)*(-72)/2. Let v be (g/9)/4 - 496/(-24). Solve -3*c + v = 4*n, 3*c = -3*n - 0*c + 18 for n. 2 Let k(l) = -66*l**2 + 722*l + 48. Let r be k(11). Solve 0 = 3*d + r*x - 1, -80*d = -83*d - 2*x - 1 for d. -1 Let h be 0*(-8)/32 + -261. Let k = h + 269. Solve 4*m + 7 = -3*r + k*m, 1 = m for r. -1 Suppose 0 = 2*i - 4, -4*c - 3*i - 15 = -57. Solve -65*f + 4*j = -61*f, 0 = -5*f - 4*j + c for f. 1 Let o be (-3 + 39 - -5)*-1. Let g = -38 - o. Solve 0 = g*a - 2*q - 3, -2 - 13 = -4*a - q for a. 3 Let a be 57/76 + 1410/8. Let q = -162 + a. Solve 3*f - z - q = -0, -2*z = f - 5 for f. 5 Let a(t) = t**3 + 6*t**2 + 12*t + 37. Let z be a(-5). Solve -4*q = z*f + 8 - 4, -4*q = -4*f - 8 for q. 0 Let h be (-42)/(-420) + (-1356)/80*-2. Solve h*u - 29*u - 4*d + 20 = 0, 3*u + d = 5 for u. 0 Suppose 0*k = 2*k - 10. Let w = -3 + 7. Let y(f) = -2*f**3 - f**2 + 89*f - 12. Let x be y(-7). Solve -x*z - k*n + 15 = z, w*z + 15 = 5*n for z. 0 Let j be (6 + (-328)/56)/(5/175). Solve 0 = -4*v - f + 8, -38 = -v - j*f - 17 for v. 1 Suppose -4*a + 14 = 5*c - 18, -4*c + 1 = -5*a. Let b be ((-2)/3)/((-12)/108*6) - -20. Solve -4*t = -8, -a*t = -3*y + 6*y - b for y. 5 Let c be 0*(-2 - (1 - 2)). Let i be (-4 + (-7 - -9))*-4*3/12. Solve c*n = -2*n - a - 1, -i*a = 3*n + 2 for n. 0 Suppose 5*p + 13*m = 22*m - 36, m - 4 = -3*p. Solve -o - 14*v + 10*v - 20 = p, 25 = -5*v for o. 0
{ "pile_set_name": "DM Mathematics" }
7/21*-15. Suppose q*d - 15*d = -2430. What is the units digit of d? 0 Let t be 3/2*2 - 18/(-18). Suppose -1 = -t*u + 3. Let w(z) = 203*z**2 + 1. What is the tens digit of w(u)? 0 Let c be (-27)/15 + 1 - 1743/(-35). Let w = c - 46. Suppose 0*m + 21 = 3*m - w*b, 2*m - 19 = 3*b. What is the units digit of m? 2 Suppose -249*o + 610*o - 6388280 = 653386. What is the tens digit of o? 0 Suppose -4*p + 4*w = -452, 3*p - 284 = w + 51. Let x = 113 - p. What is the tens digit of 7/((-35)/(-110)) + x? 2 What is the units digit of 1/(6/(-24)) + (8 - -2332)? 6 Suppose 2*m = m + 3*h + 6, -m = 4*h + 8. Let a(d) be the second derivative of -d**4/12 + 49*d**2 - 1112*d. What is the tens digit of a(m)? 9 Let d = -27 - -34. What is the units digit of (490/d)/((-14)/(-91))? 5 Let v = 7805 + -1957. What is the tens digit of v? 4 Let w be 1*1*39 + 13 + -9. Let n = w + -39. Suppose -4*v + 95 = -r, n = v - r - 19. What is the tens digit of v? 2 Suppose 18*i - 9*i = -1377. What is the tens digit of (73/(-3))/(i/(-162) + -1)? 3 Suppose -7*k - 62802 = -25*k. Suppose 0 = 8*i - k - 303. What is the hundreds digit of i? 4 Let o(u) = -183*u + 282. Let t be o(-11). Let x = t + -1058. What is the units digit of x? 7 Suppose 15 = -4*o - 37. What is the hundreds digit of 27/6*o/(195/(-1880))? 5 Suppose 8*i - 20*i = 1584. What is the tens digit of (520/(-80))/(2/i)? 2 Let h(c) = -9443*c - 162. What is the hundreds digit of h(-1)? 2 Let h(g) = 1165*g**3 - 2*g**2 - 3*g - 3. Let v be h(-1). Let m = 2202 + v. What is the thousands digit of m? 1 Let f = -47 + 29. Let s be 1/2*f/1. What is the units digit of (0 - -1)*(-8 - s)? 1 Let a be (15/(-4) + 3)*-24. Suppose -3*b - 3*b = -a. Suppose -98 = -3*z + 5*h, -b*z + 8*h = 5*h - 102. What is the tens digit of z? 3 Let q be 28/(-10) - (-35)/(-175). What is the tens digit of 1/((-5)/(-1345)) - (q + 8)? 6 Suppose 4*n = 16*n + 20*n - 676064. What is the thousands digit of n? 1 Suppose -14*b + 27 = -43. Suppose 0 = 5*z - 2*q - 2171, -5*z + 2851 = b*q + 701. What is the units digit of z? 3 Let d = -7319 - -41758. What is the tens digit of d? 3 Let j(m) = -4*m**2 + 42*m + 29. Let z be j(15). Let r = 361 - z. What is the hundreds digit of r? 6 Suppose t = -2*t + 9. Suppose -1212*x + 1211*x = -4. Suppose -h + t*p = -20, -x*h + 3*p + 1 + 61 = 0. What is the units digit of h? 4 Let b(c) = -742*c + 92. What is the units digit of b(-25)? 2 Suppose -3*z + 4*v = z - 644, -161 = -z - 5*v. Let a = 659 - z. What is the units digit of a? 8 Let a(g) = 776*g - 227. What is the tens digit of a(9)? 5 What is the hundreds digit of (8849/4)/(((-15)/130)/((-90)/195))? 8 Let c(t) = 21*t + 55. Let a be c(-18). Let o = -203 - a. What is the tens digit of o? 2 Let g(o) = 0*o**2 - 5*o + 29 - 10 - o**3 + 10*o**2. Let y = 3243 + -3235. What is the tens digit of g(y)? 0 Suppose 2*f - 275 = -87. Suppose -f - 54 = -2*r. Suppose 0 = -7*q + 185 + r. What is the tens digit of q? 3 Let x(p) = 57*p**3 - 4*p**2 + 5. Let l be x(3). What is the hundreds digit of 216/(-2)*l/(-174)? 9 Let d(s) = -s**3 + 4*s**2 + 9*s - 5. Let f be d(6). Let k be (f*6)/(12/(-64)). Suppose 4*v + 4*v - k = 0. What is the tens digit of v? 9 Suppose -33*l = 302119 - 1290172. What is the ten thousands digit of l? 2 Let r be 0/(4/2) + 4. Suppose 2*i + 42 = -r*i. What is the units digit of (240/168)/((-1)/i)? 0 Let b(z) = -2*z**2 + 26*z + 88. Let g be b(13). Let a be -2*1*-2 + -1. Suppose 0 = -4*i + a*m + 447, 4*m + g = i + 8*m. What is the units digit of i? 8 Let c = -17963 + 35932. What is the units digit of c? 9 Suppose 9*d = -7*d + 13680. Suppose -774 - d = -9*b. What is the tens digit of b? 8 Suppose 0 = -2*v - 10, 2*t + v + 15 = 18. Suppose -6 = -2*b - 16, 3*n - t*b = 1697. What is the hundreds digit of n? 5 Let d(v) = 2*v**2 + 44*v + 178. Let l be d(-17). Suppose 2792 = l*x - 10280. What is the thousands digit of x? 1 Let s = 281 + -271. Let l(b) = 3*b**2 - 2*b - 45. What is the units digit of l(s)? 5 Let l(b) = -97*b - 2. Let y(m) = 96*m + 1. Let w(q) = -2*q**2 + 10*q - 11. Let g be w(4). Let a(j) = g*l(j) - 2*y(j). What is the tens digit of a(1)? 0 Suppose -3*s - 1267 = -2*i, -5*i - 99*s = -100*s - 3187. Suppose 4*p + p = 2225. Let w = i - p. What is the units digit of w? 3 Let v be (-6)/(-2) - (-4 + 8 + -432). Suppose -v = -c - 5*y, 4*c + 824 = -4*y + 2596. What is the tens digit of c? 4 Let f = -6805 + 14366. What is the tens digit of f? 6 Let u(j) = -79*j**2 + 89*j - 5 - 26*j + 85*j**2. What is the units digit of u(5)? 0 Let v(x) = x**3 + 21*x**2 - 7*x + 76. Let z be v(-24). Let w = -615 - z. What is the units digit of w? 9 Suppose -53560 = -45*d + 41*d - w, 0 = -3*w - 12. What is the hundreds digit of d? 3 Let a(b) = -21*b + 5. Let x = -64 - -67. Suppose 0 = -x*r - v, -5*r + 6 - 5 = 2*v. What is the tens digit of a(r)? 2 Let u = 2326 + -1761. What is the hundreds digit of u? 5 Let l be -5 - -4 - 1*-1. Suppose -r = -4*i - 5*r + 496, -3*r + 612 = 5*i. Suppose -4*u + 204 + i = l. What is the units digit of u? 1 Let d = 3895 + 2339. What is the tens digit of d? 3 Let z = 28 - -38. Let s be (-1)/(15/z) + (-24)/40. Let k = 65 - s. What is the tens digit of k? 7 Let g(c) = -3843*c**3 - 12*c**2 - 18*c - 3. What is the units digit of g(-2)? 9 Suppose 2*g - 58 + 24 = 0. Suppose 0 = -5*c + g - 2. Suppose -c*d - 90 = -5*d. What is the tens digit of d? 4 Let o be (9 - 3)*-10*5. Let n = o - -613. What is the units digit of n? 3 Suppose 2*h = 2*k - 7*k + 75092, -3*k - 37590 = -h. What is the ten thousands digit of h? 3 Suppose b + 1 = -5*j + 15, b + 16 = 5*j. Suppose -j*o - 451 = -14*o. What is the units digit of o? 1 What is the units digit of ((-1090315)/76 + -8)*-4? 7 Let b = -1970 - -2785. Let k = b + -581. What is the tens digit of k? 3 What is the units digit of 11/(715/1586)*95? 8 Let b = -7960 - -14252. What is the thousands digit of b? 6 Suppose 3*s - 7*s = -28. Suppose 8 = s*d - 251. Let r = d + 66. What is the units digit of r? 3 Let c(i) = -i**3 + 4*i**2 + 4*i + 5. Let x be c(4). Suppose b + 18 = x. What is the units digit of b? 3 Let t = -4267 - -6988. What is the thousands digit of t? 2 Let x(u) = -34*u**3 - 6*u**2 + 5*u - 5. Let s be x(2). Let q = s + 420. What is the units digit of q? 9 Let l = -289 - -293. Suppose 0 = -4*c + i + 753 + 952, 5*c - 2134 = l*i. What is the hundreds digit of c? 4 Suppose -9*b + 2282 + 2910 = -18991. What is the units digit of b? 7 Let k be (6 - 8)/((-4)/118). Let j = -15 + -18. Let l = j + k. What is the units digit of l? 6 What is the tens digit of (149190/(-150))/(16/20 + -1)? 7 Suppose -4*o + 32*o + 24612 = 0. Let s = o - -1023. What is the units digit of s? 4 Let f(x) = -4*x - 75. Let i be f(-20). Suppose 2*z + r - 886 = 0, -2*z + i*r + 2215 = 3*z. What is the hundreds digit of z? 4 Let o be ((-2)/4)/(1/(-4)). What is the thousands digit of (-3)/o*(-5)/((-60)/(-8408))? 1 Let c be (-9265)/34*6/5. Let g = c - -341. What is the units digit of g? 4 Let y(p) = -p**3 + 6*p**2 + 12*p - 30. Let z be y(7). Suppose n = -0*r + z*r + 428, 2*r + 1730 = 4*n. What is the units digit of n? 3 Let z(v) = v**2 + 1. Let p be z(-2). Suppose p*k - 64 = 13*k. What is the units digit of (42/k)/(24/(-128))? 8 Suppose -72*d = -68*d - 73536. What is the ten thousands digit of d? 1 Suppose -g = -3*g - 8. Let u(b) = -11*b**2 + 35*b + 8. Let h be u(3). What is the tens digit of g/(-14) - (-1074)/h? 7 What is the thousands digit of (-54710)/(-12) + 16 + 2425/(-150)? 4 Let v be (-18)/12 - (-147)/6. Let o(k) = 17*k - 80. Let w be o(v). Let u = -65 + w. What is the hundreds digit of u? 2 Let o(m) = m**2 + 5*m - 6. Let w be o(-6). Let t be (-377)/(-65) + (-5 - (-124)/20). Suppose -16 = -3*f - t, w = -5*l + 2*f + 24. What is the units digit of l? 6 Let i(v) = 2*v + 75. Let d be i(0). Let z be -2 - (-1 - (0 + 6)). Suppose d = a - 4*f, -37 = 5*a - z*f - 442. What is the units digit of a? 3 Suppose 0 = 5*b + 4*a - 27494, -7230 = -2*b - 3*a + 3776. What is the thousands digit of b? 5 Let z = -453 - -454. What is the units digit of ((-1932)/126)/(z/141*-2)? 1 Let d = 29 - 11. Let g = d + -54. What is the tens digit of (-6)/g + 1019/6? 7 Let q(v) be the third derivative of 0*v + 5/2*v**3 - 42*v**2 - 13/12*v**4 + 0. What is the units digit of q(-7)? 7 Let s = -7487 - -10457. What is the hundreds digit
{ "pile_set_name": "DM Mathematics" }
n -750 + 2247 - 756 + 6*k**3 - 741. 6*k**3 Collect the terms in -464 - 5*w + 1316 - 374 - 478. -5*w Collect the terms in -16*y**2 - 127*y**2 - 58*y**2 - 244*y**2. -445*y**2 Collect the terms in 7011 + 3*q + 19*q - 482 + 6*q. 28*q + 6529 Collect the terms in 4*f + 14*f**2 - 4*f**2 - 87*f**2 + 1. -77*f**2 + 4*f + 1 Collect the terms in 22345 - 22345 - 4670*o**2. -4670*o**2 Collect the terms in 64525*r**3 - r**2 - 64549*r**3 + r**2. -24*r**3 Collect the terms in 60 - 8*z**2 - 8*z**2 - 12*z**2 - 4*z. -28*z**2 - 4*z + 60 Collect the terms in 13500*u + 20*u**2 - 13500*u + 21*u**2. 41*u**2 Collect the terms in 669950647*n - 669950647*n - 10*n**3. -10*n**3 Collect the terms in 4*f - 10*f - 99*f**2 + 8*f. -99*f**2 + 2*f Collect the terms in -13*m**2 - 200599990*m + 200599990*m. -13*m**2 Collect the terms in 8*r - 6*r - 279 - 35. 2*r - 314 Collect the terms in 36*i**2 - 36*i**2 + 24*i**2. 24*i**2 Collect the terms in -2833*a - 27 - 18 + 45. -2833*a Collect the terms in 3325*x + 7*x**2 - 3325*x. 7*x**2 Collect the terms in -642 - 146*a**3 + 2*a**2 + 642 - 2*a**2. -146*a**3 Collect the terms in 77*x**3 - 11*x**3 - 54*x**3 - 16*x**3. -4*x**3 Collect the terms in 10*r**2 - 1 - 136*r**2 + 4 - 3. -126*r**2 Collect the terms in 2305*w**2 + 4 - 6905*w**2 - 4 + 2301*w**2 + 2302*w**2. 3*w**2 Collect the terms in 16*s**2 + 37*s - 9*s**2 + 24*s**2 + 15*s. 31*s**2 + 52*s Collect the terms in -10 + 612*y**3 - 18 + 415*y**3 + 28. 1027*y**3 Collect the terms in 326325*n**2 + 27997*n**2 + 145760*n**2. 500082*n**2 Collect the terms in 2*m**3 + 20646343*m**2 - 20646343*m**2. 2*m**3 Collect the terms in 27*f - 63 - 15*f - 17*f. -5*f - 63 Collect the terms in 173*l - 173*l + l**3 - 89. l**3 - 89 Collect the terms in 24*n**2 - 20*n**2 + 19*n - 2*n - 17*n. 4*n**2 Collect the terms in -691*v + 2084*v - 7*v**3 - 698*v - 695*v. -7*v**3 Collect the terms in 7 - 191*i + 191*i - 69*i**2. -69*i**2 + 7 Collect the terms in 163*b**3 + 180*b**3 + 248*b**3. 591*b**3 Collect the terms in -928*l + 928*l + 130*l**3. 130*l**3 Collect the terms in 56*y**3 + 414 - 52*y**3 - 414. 4*y**3 Collect the terms in -545*w**2 + 253*w**2 + 488*w**2. 196*w**2 Collect the terms in a + 0*a**3 + a**3 - 136*a - 44*a. a**3 - 179*a Collect the terms in -48*g**2 - 56*g**2 + 108*g**2. 4*g**2 Collect the terms in 52*s**2 + 560*s**2 - 72 - 14*s + 72. 612*s**2 - 14*s Collect the terms in -11*o**3 - 4*o + 9*o**3 - 7*o. -2*o**3 - 11*o Collect the terms in -145*x**2 + 34*x**2 + 54*x**2 + 30*x**2 + 29*x**2. 2*x**2 Collect the terms in -3770*b + 7543*b + 429*b**2 - 3773*b. 429*b**2 Collect the terms in -2*x - 57*x - 114*x - 16*x + 22*x. -167*x Collect the terms in 1361*u + 7 + 967*u + 45*u - 6. 2373*u + 1 Collect the terms in -33624*v - 13*v**2 - 33608*v + 67232*v. -13*v**2 Collect the terms in -38784*z**3 + z**2 - 48965*z**3 - z**2. -87749*z**3 Collect the terms in 27*u + 40*u - 7*u - 2*u. 58*u Collect the terms in -2816*p**3 + 10020*p**3 + 3*p - 3*p. 7204*p**3 Collect the terms in -18002*l**2 + 36021*l**2 - 3*l + 5*l - 17982*l**2 - 2*l. 37*l**2 Collect the terms in 30049*r - 15052*r - 14995*r. 2*r Collect the terms in -122*q + 119*q + q + q - 2*q. -3*q Collect the terms in 2 - 3 + 4 - 6*q**2 + 4*q**2 - 11*q**2. -13*q**2 + 3 Collect the terms in -418999*a + 49096*a - 225023*a. -594926*a Collect the terms in -3822*j**2 + 17*j**3 + 3822*j**2. 17*j**3 Collect the terms in 221*w**2 + 196*w**2 + 220*w**2 + 213*w**2 + 222*w**2 - 1067*w**2. 5*w**2 Collect the terms in -276847*l**2 + 29*l**3 + 18 + 276850*l**2 - 18. 29*l**3 + 3*l**2 Collect the terms in -2*s + 2*s + 87*s**2 - 45*s**2 - 49*s**2. -7*s**2 Collect the terms in 4*v**2 - 3*v**3 + 5*v**2 - 22*v**2 + 5*v**2. -3*v**3 - 8*v**2 Collect the terms in -3*h**3 + 407301012745 - 407301012745 + 4*h**3. h**3 Collect the terms in 127*k**3 + 52*k**2 + 129*k**3 + 126*k**3 - 386*k**3. -4*k**3 + 52*k**2 Collect the terms in 40*k**3 - 52*k**3 - 25*k**3. -37*k**3 Collect the terms in -60*m**2 + 46*m**2 - 3*m - 8*m + 11*m. -14*m**2 Collect the terms in -2330758 + 2330758 + 279*q**3. 279*q**3 Collect the terms in 258 + 46*n**3 - 519 + 261 - 14*n**3. 32*n**3 Collect the terms in 2*n - 2*n + 1899006*n**2. 1899006*n**2 Collect the terms in 3*f - 962321054 + 962321054. 3*f Collect the terms in -s**3 + 3*s**2 + 4*s**3 + 6877 - 3*s**2. 3*s**3 + 6877 Collect the terms in -3 + 2085*f - 4209*f + 3 + 2115*f. -9*f Collect the terms in -7 + 23*l + 24 - 17 - 54*l. -31*l Collect the terms in -2862*v - 6808*v - 1134*v. -10804*v Collect the terms in -35*i**2 - 57*i**2 + 67*i**2. -25*i**2 Collect the terms in 39*v**3 + 10*v**3 + 21*v**3 - 4*v**3 - 3*v**3. 63*v**3 Collect the terms in -28 - 38 - 2506*x + 89*x. -2417*x - 66 Collect the terms in 415 - 207 + 13*a**3 - 206. 13*a**3 + 2 Collect the terms in -2 + 10 + 1 + 8 + 7 + 9 - 2*f. -2*f + 33 Collect the terms in -1707555 + 3*u**3 + 1707555. 3*u**3 Collect the terms in -15*v - 46*v**3 + 2*v + 13*v. -46*v**3 Collect the terms in 526*k - 5*k**2 - 1052*k + 0 - 1 + 526*k. -5*k**2 - 1 Collect the terms in -309*d**3 + 1 - 112*d + 113*d - 1 + 373*d**3. 64*d**3 + d Collect the terms in -4 - 14 + 30*j + 5*j**2 - 50*j + 20*j. 5*j**2 - 18 Collect the terms in -2 + 138*i - 278*i - 357*i**2 - 75*i**2 + 138*i. -432*i**2 - 2*i - 2 Collect the terms in 115*k**2 - 39*k**2 - 39*k**2 - 38*k**2. -k**2 Collect the terms in -41247*u + 83410*u - 42159*u. 4*u Collect the terms in -4676*x**3 - 5 + 5. -4676*x**3 Collect the terms in 143*h**2 + 118*h**2 + 151*h**2 - 708*h**2 + 151*h**2 + 144*h**2. -h**2 Collect the terms in -11717*v + 11717*v - 8039*v**2. -8039*v**2 Collect the terms in 10646 - 4*i**2 - 21265 + 10619. -4*i**2 Collect the terms in 62*z - 62*z - 403*z**3 + 761*z**3 - 399*z**3. -41*z**3 Collect the terms in 26140*c**3 - 36404*c**3 - 87344*c**3. -97608*c**3 Collect the terms in 50*s**3 - 142*s**3 + 69*s**3 + 39*s**3. 16*s**3 Collect the terms in -120 + 517 + 41*i - 87*i + 45*i. -i + 397 Collect the terms in -65474*w - 65620*w + 131094*w + 2*w**3 - 4*w**3. -2*w**3 Collect the terms in -6 + 3 - 124*f + 1 + 5. -124*f + 3 Collect the terms in 634*i**3 - 2625*i**3 + 764*i**3 + 737*i**3 + 657*i**3. 167*i**3 Collect the terms in -3 + o + 2*o + 10*o**2 - 11*o - 5*o**2. 5*o**2 - 8*o - 3 Collect the terms in -18 + 7 + 2662*u**2 - 2669*u**2 + 11. -7*u**2 Collect the terms in -37*m + 59*m + 278*m**3 - 751*m**3 + m**2 - 22*m. -473*m**3 + m**2 Collect the terms in -145*x - 154*x + 270*x - 1. -29*x - 1 Collect the terms in -322*k + 2 - 342*k - 3 - 176*k**2 + 664*k. -176*k**2 - 1 Collect the terms in 101*c**2 + 18*c**2 - 226*c**2 + 100*c**2. -7*c**2 Collect the terms in 11313*h - 5642*h - 5668*h. 3*h Collect the terms in 1905*w - 636*w - 641*w - 635*w. -7*w Collect the terms in 42*z**3 - 146*z**3 + 2*z**2 + 44*z**3 + 45*z**3. -15*z**3 + 2*z**2 Collect the terms in 466*o + 4752*o - 511*o + 20 - 20. 4707*o Collect the terms in -9*u**3 - 4*u**3 - 15*u**3. -28*u**3 Collect the terms in -1817*j - 1809*j - 1819*j + 5445*j - 7*j**3. -7*j**3 Collect the terms in -23*h**3 + 3*h**3 - 8*h**3 - 12*h**3. -40*h**3 Collect the terms in 198 + 2058*c**3 - 2059*c**3 - 98 - 100. -c**3 Collect the terms in 31286*o**2 - 15682*o**2 - 15555*o**2. 49*o**2 Collect the terms in -2*n**2 - 24 + 4 + 3*n**2 + 263*n. n**2 + 263*n - 20 Collect the terms in 3344*t**2 - 9 + 9 + 4288*t**2 - 339*t**2. 7293*t**2 Collect the terms in -11*v**2 - 65486*v + 65486*v. -11*v**2 Collect the terms in -286*z - 300*z - 287*z + 876*z. 3*z Collect the terms in 28 - 8 + 13*i**3 - 21. 13*i**3 - 1 Collect the terms in -758*r - r**2 + 758*r - 175*r**3. -175*r**3 - r**2 Collect the terms in -9 + 1 + l + 17 + 43*l**3. 43*l**3 + l + 9 Collect the terms in 74*y**2 - 6631*y - 38*y**2 - 35*y**2 + 6631*y. y**2 Collect the terms in 4196*n**2 + n - 4317*n**2 - n + 0*n. -121*n**2 Collect the terms in -538 + 42*r + 538 - 22*r + 97*r. 117*r Collect the terms in 1 + 1 - 23*l**3 + 1 - 3. -23*l**3 Collect the terms in 267*x**3 + 397*x**3 - 769*x**3 + 420*x**3. 315*x**3 Collect the terms in 120 - 381 - 154*j + 133 + 128. -154*j Collect the terms in -405*h**2 + 19525*h + 576*h**2 - 19525*h. 171*h**2 Collect the terms in 277*g + 250*g + 366*g + 6*g. 899*g Collect the terms in -44189308*f**2 + 22094653*f**2 + 22094654*f**2. -f**2 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
ive prob of picking 1 s and 1 t. 8/45 Three letters picked without replacement from {v: 1, u: 1, i: 1, x: 3, l: 1}. What is prob of picking 1 v, 1 x, and 1 i? 3/35 What is prob of picking 2 u when two letters picked without replacement from nxxbxnnxxnxxnnxunnun? 1/190 Two letters picked without replacement from {l: 2, h: 2}. Give prob of picking 2 h. 1/6 Calculate prob of picking 1 a, 1 f, and 1 n when three letters picked without replacement from zxyfafzyfynyy. 3/286 Two letters picked without replacement from {f: 1, b: 7, p: 2, g: 4, j: 3}. Give prob of picking 1 g and 1 f. 1/34 What is prob of picking 3 n when three letters picked without replacement from nrnnnnrrnnnrnnnnnnnr? 91/228 What is prob of picking 3 b when three letters picked without replacement from {b: 11, d: 9}? 11/76 Two letters picked without replacement from reerarcaererarrcrae. Give prob of picking 1 a and 1 e. 20/171 Three letters picked without replacement from ddcccccd. Give prob of picking 3 d. 1/56 Three letters picked without replacement from hfffffffrerhf. What is prob of picking 2 h and 1 f? 4/143 Calculate prob of picking 1 t, 1 l, and 1 w when three letters picked without replacement from xtslcxwtw. 1/21 Three letters picked without replacement from ndndndprrrdddn. What is prob of picking 1 p, 1 n, and 1 r? 3/91 Four letters picked without replacement from {c: 2, i: 3}. What is prob of picking 3 i and 1 c? 2/5 Calculate prob of picking 1 a, 2 p, and 1 h when four letters picked without replacement from {h: 2, a: 6, o: 2, l: 3, p: 5}. 2/51 Three letters picked without replacement from {r: 3, b: 7}. Give prob of picking 3 b. 7/24 Calculate prob of picking 1 o and 2 y when three letters picked without replacement from noyyyyxnnxyonyynyn. 7/102 Calculate prob of picking 2 d and 2 g when four letters picked without replacement from ddddddddddddgggddg. 91/510 Four letters picked without replacement from zzzzzzzzgzgwzgz. What is prob of picking 3 z and 1 w? 11/91 Two letters picked without replacement from {h: 1, o: 1, l: 4, k: 4, p: 1}. What is prob of picking 2 l? 6/55 Three letters picked without replacement from htohxhhhvxoxtorthvt. What is prob of picking 1 r, 1 t, and 1 x? 4/323 What is prob of picking 2 n, 1 q, and 1 k when four letters picked without replacement from {k: 8, r: 3, v: 2, q: 1, n: 2, j: 4}? 8/4845 Two letters picked without replacement from {g: 2, f: 1, e: 11}. What is prob of picking 1 f and 1 e? 11/91 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from bvdhzohd. 1/14 Two letters picked without replacement from eeeee. What is prob of picking 2 e? 1 What is prob of picking 1 x, 1 a, and 1 p when three letters picked without replacement from {a: 1, o: 1, h: 1, p: 1, x: 1}? 1/10 Calculate prob of picking 2 j when two letters picked without replacement from {j: 11, v: 7, d: 2}. 11/38 Four letters picked without replacement from {o: 2, q: 4, n: 1, e: 2}. What is prob of picking 1 e and 3 q? 4/63 Two letters picked without replacement from {t: 3, u: 11}. What is prob of picking 2 u? 55/91 What is prob of picking 2 x when two letters picked without replacement from zjxppxc? 1/21 Two letters picked without replacement from {s: 1, t: 3, j: 2, v: 1, c: 3}. What is prob of picking 1 t and 1 s? 1/15 What is prob of picking 4 a when four letters picked without replacement from aaaaaaaaa? 1 What is prob of picking 1 d and 1 k when two letters picked without replacement from wdkkdkwiedkdddkki? 9/34 Calculate prob of picking 1 d, 2 l, and 1 f when four letters picked without replacement from {d: 9, e: 1, o: 3, l: 2, f: 2}. 9/1190 Calculate prob of picking 2 x when two letters picked without replacement from {x: 7}. 1 Three letters picked without replacement from hahhahah. Give prob of picking 2 h and 1 a. 15/28 Four letters picked without replacement from {i: 9}. Give prob of picking 4 i. 1 Two letters picked without replacement from rrraarr. What is prob of picking 1 a and 1 r? 10/21 What is prob of picking 2 o when two letters picked without replacement from okjllo? 1/15 What is prob of picking 1 g, 1 s, and 2 j when four letters picked without replacement from {x: 1, j: 2, z: 3, g: 4, s: 4, h: 1}? 16/1365 Two letters picked without replacement from {y: 7, i: 4, a: 5}. What is prob of picking 1 y and 1 i? 7/30 Two letters picked without replacement from hdhh. Give prob of picking 2 h. 1/2 Calculate prob of picking 2 r, 1 b, and 1 a when four letters picked without replacement from {a: 2, b: 1, r: 2}. 2/5 Two letters picked without replacement from {g: 7, h: 1, t: 4, n: 2, a: 2}. Give prob of picking 1 g and 1 t. 7/30 Two letters picked without replacement from addeauudacai. What is prob of picking 1 a and 1 i? 2/33 Four letters picked without replacement from xxxxwxxxww. Give prob of picking 3 x and 1 w. 1/2 What is prob of picking 1 w, 1 m, and 1 q when three letters picked without replacement from wwkmmwqsmmmm? 9/110 Calculate prob of picking 1 g and 3 d when four letters picked without replacement from {d: 14, g: 1}. 4/15 Two letters picked without replacement from {h: 19, y: 1}. Give prob of picking 1 y and 1 h. 1/10 Three letters picked without replacement from {k: 3, g: 12}. Give prob of picking 2 g and 1 k. 198/455 What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 1, q: 1, j: 2}? 1/3 Four letters picked without replacement from {k: 10}. Give prob of picking 4 k. 1 What is prob of picking 2 m and 2 l when four letters picked without replacement from llhlyymlmlyhylllllll? 22/1615 Three letters picked without replacement from dlubddvbddybbdbuby. Give prob of picking 1 v, 1 y, and 1 u. 1/204 Calculate prob of picking 2 j and 2 h when four letters picked without replacement from hhjkhkhhukkjhkhh. 1/65 Calculate prob of picking 4 a when four letters picked without replacement from vvvaaaa. 1/35 What is prob of picking 1 t and 2 o when three letters picked without replacement from {o: 13, t: 5}? 65/136 Four letters picked without replacement from lyxlyylllyyxyyyllxy. Give prob of picking 1 x and 3 y. 21/323 Three letters picked without replacement from bfcbbcxbfubccbcu. What is prob of picking 1 x and 2 u? 1/560 What is prob of picking 1 g and 1 z when two letters picked without replacement from gzgzgdygzzdgzzzdzz? 5/17 Two letters picked without replacement from {d: 1, o: 4, h: 3, x: 2}. Give prob of picking 1 x and 1 o. 8/45 Calculate prob of picking 2 q when two letters picked without replacement from {l: 2, k: 3, q: 4, p: 1, w: 1}. 6/55 Two letters picked without replacement from {c: 2, y: 1, p: 4}. Give prob of picking 1 p and 1 c. 8/21 What is prob of picking 1 t and 1 b when two letters picked without replacement from {m: 1, b: 1, t: 1}? 1/3 Two letters picked without replacement from {q: 3, i: 1, e: 1}. What is prob of picking 1 q and 1 i? 3/10 Three letters picked without replacement from irimyzyziyyyl. What is prob of picking 1 z, 1 y, and 1 r? 5/143 Three letters picked without replacement from qbnqnrndddbqboqr. What is prob of picking 1 r, 1 n, and 1 b? 9/280 Calculate prob of picking 1 o, 1 i, and 2 g when four letters picked without replacement from gihiioiighohiii. 16/1365 What is prob of picking 1 d, 1 s, and 1 k when three letters picked without replacement from {u: 1, k: 2, d: 3, t: 3, s: 2, e: 4}? 12/455 Three letters picked without replacement from {f: 1, r: 2, v: 4, d: 1}. Give prob of picking 2 v and 1 f. 3/28 What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 15, c: 3}? 5/17 What is prob of picking 3 h and 1 j when four letters picked without replacement from jjjhjjjjhjjjjhjjhjj? 5/323 Three letters picked without replacement from hhhhghhgghhhhhgghh. Give prob of picking 3 g. 5/408 What is prob of picking 1 i and 3 c when four letters picked without replacement from ccicccdccccu? 28/165 Two letters picked without replacement from bpp. What is prob of picking 1 p and 1 b? 2/3 What is prob of picking 2 y and 1 z when three letters picked without replacement from yyyyzyzy? 15/28 Calculate prob of picking 2 c, 1 e, and 1 u when four letters picked without replacement from cueeceeeee. 1/30 What is prob of picking 1 t and 1 j whe
{ "pile_set_name": "DM Mathematics" }
2141928*f**2 - 36*o What is the first derivative of -926*f**3 - 90*f**2 - 2*f - 130873084? -2778*f**2 - 180*f - 2 What is the third derivative of -651847051*r**3 + 15865*r**2 - 4196? -3911082306 What is the third derivative of -57702451*h**4 - 20*h**2 - 3088012 wrt h? -1384858824*h What is the second derivative of -871*l**2*z**2 - 7808*l**2*z - l**2 - 190427*l*z**2 + 74*l wrt l? -1742*z**2 - 15616*z - 2 Differentiate 33*k**2*z**3 - 149622313*k**2 + 1198*k*z**2 + 598*z with respect to z. 99*k**2*z**2 + 2396*k*z + 598 What is the second derivative of 7*s**3 + 10876922*s**2 + 564982850*s wrt s? 42*s + 21753844 Find the second derivative of 300101064*c**2 - 8*c - 3349764. 600202128 Find the third derivative of 26*s**5 + 150*s**4 - 21*s**3 - s**2 - 35122596*s wrt s. 1560*s**2 + 3600*s - 126 What is the first derivative of 27716105*y**2 - 493245916 wrt y? 55432210*y What is the third derivative of -16*c**3*m**3 - 261327*c**3*m + 2*c**2*m**3 + 2*c*m - 137054*m**3 wrt c? -96*m**3 - 1567962*m Find the second derivative of 12*s**3 - 4859838*s**2 - 23*s - 569103. 72*s - 9719676 What is the second derivative of -2594784*m**2 + 5598608*m? -5189568 Find the third derivative of 4*g**5 - 12381*g**4 - 4*g**3 - 7590359*g**2 wrt g. 240*g**2 - 297144*g - 24 What is the third derivative of 5938*h**5 - 101*h**4*q - h**2 + 2258*h + 1087*q wrt h? 356280*h**2 - 2424*h*q Find the second derivative of -2863*a*l**4 + 13*a*l**3 - 8221188*a*l wrt l. -34356*a*l**2 + 78*a*l Find the second derivative of 92672*a*s**2 + 4*a*s - 4*a - 415*s**2 + 38*s + 16131 wrt s. 185344*a - 830 What is the third derivative of -3715340*u**5 + 169100*u**2 - u + 3 wrt u? -222920400*u**2 What is the third derivative of -82*a**5*z - 91265*a**5 + 85391*a**2*z - 10*z - 1 wrt a? -4920*a**2*z - 5475900*a**2 What is the second derivative of i**4 - 480736*i**3*j**2 - i*j**2 - i + 903*j**2 - 3*j + 105 wrt i? 12*i**2 - 2884416*i*j**2 What is the first derivative of -41121319*w + 33936362? -41121319 Find the third derivative of 13742366*i**3 + 139630942*i**2 wrt i. 82454196 Find the second derivative of 114790093*h**3 - 32655*h + 822. 688740558*h Find the third derivative of 513345677*m**2*r**3 + 335*m**2*r**2 - 135750*m*r**2 wrt r. 3080074062*m**2 Differentiate -649296676*o + 322389985 wrt o. -649296676 What is the third derivative of -171254304*l**3 + 564094818*l**2? -1027525824 What is the third derivative of 11396010*q**4 + 4*q**2 + 788347? 273504240*q Differentiate 89699680*i + 96255155 wrt i. 89699680 Find the third derivative of -401397781*l**2*x**3 - 22812*l**2 - l*x**2 + 43*l*x wrt x. -2408386686*l**2 Differentiate -33*j**4 - 2*j**3 + 5219*j**2 + 7471411 with respect to j. -132*j**3 - 6*j**2 + 10438*j Differentiate 16989*h**2*s**2 - 13*h**2*s - 2*h**2 - h*s**2 - 328352*h - 3 with respect to s. 33978*h**2*s - 13*h**2 - 2*h*s What is the third derivative of 197553*j**3*p**2 - 20*j**3*p - 19802*j**2 + 116*p**2 wrt j? 1185318*p**2 - 120*p What is the first derivative of -10*r*t + 1482830*r*w - 704*t*w - t - 771*w + 5 wrt r? -10*t + 1482830*w Differentiate 125329*o*t + 144229771*o + 259*t with respect to t. 125329*o + 259 Find the second derivative of 785284681*y**4 - 39604831*y + 4. 9423416172*y**2 Find the second derivative of -11*g**5 - 60513*g**4 - 33*g**2 + 121001439*g wrt g. -220*g**3 - 726156*g**2 - 66 What is the first derivative of 489894023*s - 159684204? 489894023 Find the second derivative of 1083*m**3 - 2300*m**2 + 15935565*m. 6498*m - 4600 Differentiate 19*f**4*u**2 - 115322*f**4*u + 1966618*u**2 wrt f. 76*f**3*u**2 - 461288*f**3*u Differentiate 47631*d**3 - 189*d**2 + 26355988 with respect to d. 142893*d**2 - 378*d What is the derivative of 6343528*a**3 - 2*a*q**2 + 21757078*q**2 wrt a? 19030584*a**2 - 2*q**2 Find the third derivative of 2*c**6 - 186955808*c**5*u - c**2*u + 14*c**2 - 3*c*u + 2*c - 81*u + 764 wrt c. 240*c**3 - 11217348480*c**2*u Find the second derivative of -4*k**2*o + 10*k**2*v**2 - 1530*k**2*v - 2*k**2 - 635*k*o*v**2 - 42*k*o*v - 6*k*v**2 wrt k. -8*o + 20*v**2 - 3060*v - 4 What is the third derivative of -14283*d**3*n**3 + 3*d**3*n + 9*d*n**3 + 565644*n**2 wrt n? -85698*d**3 + 54*d What is the third derivative of -22*a**5*m + 8*a**4 + 58*a**3*m + 32930*a**2*m - 5*a**2 wrt a? -1320*a**2*m + 192*a + 348*m What is the second derivative of -17564069*t**3 - 7610*t + 164? -105384414*t Find the second derivative of 178487691*d**2 - 91998538*d. 356975382 What is the third derivative of -12255695*c**4 - 695*c**2 - 18084*c wrt c? -294136680*c What is the first derivative of 4985682*i**3*n + i**3 - i*n + 12532735 wrt n? 4985682*i**3 - i What is the first derivative of 2948515*i*z + 84468*i + 1 wrt z? 2948515*i Find the third derivative of 159981775*x**4 - 94911274*x**2. 3839562600*x Find the first derivative of -2746656*n**2 + n - 14096209 wrt n. -5493312*n + 1 What is the second derivative of 17*k**2*n**3 + 35*k**2*n**2 - 3*k**2*n - 519*k**2 - 3058*k*n**2 - 4*k*n - n**3 - 4*n**2 + 2*n wrt k? 34*n**3 + 70*n**2 - 6*n - 1038 What is the third derivative of -83987429*c**3*v + 1314*c**2 + 6*c*v - 45*v wrt c? -503924574*v Find the second derivative of 15987906*j**4 + 266392*j wrt j. 191854872*j**2 Find the second derivative of 2880780*l**4 - 10*l**2 + 655655812*l. 34569360*l**2 - 20 What is the second derivative of 1677761*g**2 + 2*g + 1706391 wrt g? 3355522 Differentiate 15*u**3 + 115073*u - 60434912 wrt u. 45*u**2 + 115073 Find the second derivative of 264853016*x**4 + 5555*x - 7901. 3178236192*x**2 What is the second derivative of -37562730*l**5 - 23578850*l wrt l? -751254600*l**3 Differentiate 467702920*s + 1464052 wrt s. 467702920 Find the third derivative of -46826379*r**3 + 22688832*r**2. -280958274 What is the third derivative of -70*i**5 + 147869*i**3 - 28636591*i**2 wrt i? -4200*i**2 + 887214 Find the third derivative of 1462648*v**4 - 8*v**3 + v**2 + 10*v + 7309 wrt v. 35103552*v - 48 Find the third derivative of -7523996*u**4 + 59*u**2 + 2195 wrt u. -180575904*u Find the second derivative of 7447*d**4 - 160*d**2 - 1114*d + 2047. 89364*d**2 - 320 What is the first derivative of -k**4 + 90*k**2 - 69709*k - 12738765 wrt k? -4*k**3 + 180*k - 69709 Differentiate 6*c**4 + 288*c**3 - 7*c**2 - 6*c + 2497331 wrt c. 24*c**3 + 864*c**2 - 14*c - 6 What is the third derivative of -20*b**4 - 856079*b**3 - 21575718*b**2? -480*b - 5136474 What is the second derivative of -99460623*b**2 - 143325430*b wrt b? -198921246 Find the second derivative of 300186*g*q**5 - 947*g + 6*q - 291 wrt q. 6003720*g*q**3 What is the second derivative of -20537067*m**2*v**2 + 2*m**2*v - 23*m**2 - 14*m*v - 2*m - 12*v + 2 wrt v? -41074134*m**2 What is the second derivative of -104137*o**5 - 116*o**2 - 89599628*o wrt o? -2082740*o**3 - 232 Find the second derivative of -2778174*g**4 + 56*g**3 + 502763462*g. -33338088*g**2 + 336*g Find the third derivative of -2*i**4 + 22360719*i**3 + 11537635*i**2 wrt i. -48*i + 134164314 Differentiate -143716*p**2 + 1303*p - 97179265 wrt p. -287432*p + 1303 Find the first derivative of -8133161*n**4 + 28322962 wrt n. -32532644*n**3 Find the third derivative of 3*g**4 + 6189*g**3*z**2 + 426*g**3*z + 292*g**2*z + g**2 - 16*g*z**2 - 76*z**2 wrt g. 72*g + 37134*z**2 + 2556*z Find the third derivative of -37795286*y**5 - 27114296*y**2. -2267717160*y**2 What is the third derivative of 1346729917*c**5 + 203618668*c**2? 80803795020*c**2 What is the third derivative of 200789069*j**4 + 1255*j**2 + 35112*j wrt j? 4818937656*j Differentiate 2*j*p**2 + 19*j*p + 281518391*j + 37*p**2 - 109*p wrt p. 4*j*p + 19*j + 74*p - 109 Find the first derivative of 467467318*m - 1197611147. 467467318 What is the third derivative of -3*i**6 + 1176655*i**3 - 2*i**2 - 6671401*i wrt i? -360*i**3 + 7059930 Find the third derivative of -7194*j**3*o**3 + j**3*o**2 + 5*j**3 - 15441*j**2*o**2 + 3318*j*o**3 - 2*j + 2*o**3 - o**2 - 13*o wrt o. -43164*j**3 + 19908*j + 12 Find the second derivative of 185879562*y**2 + 117940031*y + 1 wrt y. 371759124 What is the second derivative of -50303*l**3 + 2053*l**2 - 299070665*l? -301818*l + 4106 What is the first derivative of 15188087*n**3 + 9252828? 45564261*n**2 What is the second derivative of -11*g**4 - 15*g**3 + 58*g**2 - 14353763*g wrt g? -132*g**2 - 90*g + 116
{ "pile_set_name": "DM Mathematics" }
ppose 9*c + 2964 = 5*l + 10*c, 2*c + 595 = l. List the prime factors of l. 593 Suppose 0 = u - 31*u + 33300. What are the prime factors of u? 2, 3, 5, 37 Let g(u) = -u + 20. Suppose -4*d + i = -29, 4*i = -2*d + 4*d - 4. List the prime factors of g(d). 2, 3 Suppose 8*m - 3*h = 3*m - 26, 24 = -4*m + 4*h. Let a be 0/m + 0 + 0. Suppose 5*z - 33 - 227 = -5*i, a = -i - 3. What are the prime factors of z? 5, 11 Suppose -3*r + 3*i = 15, 0*i + 20 = r + 4*i. Suppose 3*d - 80 = -a, -a + r*d = 5*d - 84. What are the prime factors of a? 2, 37 Suppose -2*d + 53 = -11. Let l(m) = 8*m - d*m - 19*m - 11*m + 3. List the prime factors of l(-1). 3, 19 What are the prime factors of (-1679)/(-4) - 2 - 51/68? 3, 139 What are the prime factors of (-6474)/(-21) + 6/(-21)? 2, 7, 11 Suppose 6*n - 2504 = -2*n. List the prime factors of n. 313 Let f = -742 + 1751. What are the prime factors of f? 1009 Let h(w) = w**2 - 17*w - 1. List the prime factors of h(-8). 199 Suppose q - 10 = -q. Let r be (-6)/(8/(5 - 9)). Suppose -q*l - 17 + 78 = r*w, 4*l - 5*w = 71. List the prime factors of l. 2, 7 Let v = 404 - 194. What are the prime factors of v? 2, 3, 5, 7 Let y = 17 - 12. List the prime factors of (-627)/(-15) - (-1)/y. 2, 3, 7 Suppose 0 = x - 2*p - 88, 0*x + p + 387 = 4*x. List the prime factors of x. 2, 7 Suppose -10*s + 5890 = 21*s. What are the prime factors of s? 2, 5, 19 Let d(o) = 13*o**3 + o**2 + 3*o + 1. Let k be d(-2). Let r = 194 + k. List the prime factors of r. 89 Suppose -n + 4*l + 3884 = 0, -n + 5*l = -3610 - 276. What are the prime factors of n? 2, 3, 17, 19 List the prime factors of ((-1136)/6)/((-48)/72). 2, 71 Let a(b) = 91 + 19*b - 32*b + 17*b. List the prime factors of a(0). 7, 13 Suppose -b = -6*b, 0 = -3*y - 4*b - 309. Let d = y - -213. What are the prime factors of d? 2, 5, 11 Let r = 1791 + -528. What are the prime factors of r? 3, 421 Suppose 0*v + v - 20 = -4*j, 3*j - 32 = -5*v. Suppose -12 = v*c - 6*c. What are the prime factors of 32 + (-5)/10*c? 29 Let a = 16 - 8. Suppose a*u + 37 = 7*u. Let n = 69 + u. List the prime factors of n. 2 Let x be -3 + 2 - (0 + -1). Suppose -p + 2*b = -17, 0 = -2*p - x*b + 5*b + 35. List the prime factors of p. 3, 5 Suppose -5*q - 2*r = r - 1150, r = -5*q + 1150. Suppose -8*f + 408 = 80. Suppose 4*w - f - 143 = 2*y, -5*w + 4*y = -q. List the prime factors of w. 2, 23 Let s be (-1 - 10/(-14)) + 1292/14. Suppose -d = 3*d - s. List the prime factors of d. 23 Let y be -10 + 6 - (-1 - -9). Let z(f) = -f**2 - 15*f - 1. What are the prime factors of z(y)? 5, 7 Suppose x - 15 = -5*f - 2*x, 2*f = x + 17. List the prime factors of (f/27 + 48/27)/1. 2 Suppose -5*t - 3285 = -5*n, -4*t - 1 = -5. List the prime factors of n. 2, 7, 47 Let d(u) = u**3 - 13*u**2 + 15*u + 10. Let x(y) = 2*y + 21. Let f be x(5). Let m = -19 + f. List the prime factors of d(m). 2, 23 Let p(k) = 3*k**2 - 5*k - 3. Let y be p(4). Let w(u) = u**3 - u**2 - 4*u - 4. Let r be w(3). Suppose 3 + y = r*a. What are the prime factors of a? 2, 7 What are the prime factors of ((-831)/6*-6)/((-19)/(-19))? 3, 277 Let t be (-321 - 0)/(1*2/(-4)). Suppose -8*x = -14*x + t. What are the prime factors of x? 107 Suppose -2*b - 5*t + 1524 + 498 = 0, 0 = 4*t - 8. What are the prime factors of b? 2, 503 Suppose 0 = -5*v - 3*y + 172, 49 + 57 = 3*v - y. Suppose -q + v = -2*q. What are the prime factors of 4/(-6) - q/3? 11 Suppose -3249 = -17*s + 168. What are the prime factors of s? 3, 67 Let j(g) = -501*g - 5. What are the prime factors of j(-1)? 2, 31 List the prime factors of (7488/54 - 5)*(1 - -20). 7, 401 Let q(b) = -2*b**3 - 25*b**2 - 29*b - 27. What are the prime factors of q(-12)? 3, 59 Suppose 51 = r - 608. List the prime factors of r. 659 Let s = 34 + -31. Suppose -s*t + 96 = t. List the prime factors of t. 2, 3 Let m be 616/4 + 2/(-1). Suppose f - 8 + 4 = 0. Suppose -q + z = -15, f*q + 4*z = m - 60. List the prime factors of q. 19 Let z be (-2)/(-4) - (-19)/(-2)*-5. Suppose 0 = -2*n - n + 3*k + z, -42 = -3*n + 5*k. List the prime factors of n. 19 Suppose 8 = 2*i - c - 0, -5*c - 22 = -i. Suppose -i*h + 7*h = 345. List the prime factors of h. 3, 23 Let y = 0 - 0. Let p(l) = -l - 6 + 0*l + 28. List the prime factors of p(y). 2, 11 Suppose 9*j - 874 = 7*j. Suppose 4*i = j - 125. List the prime factors of i. 2, 3, 13 Let y(z) = -61*z + 49. List the prime factors of y(-17). 2, 3, 181 Let n(k) = -21*k - 102. What are the prime factors of n(-25)? 3, 47 Suppose -315 = -4*k + 225. Suppose -5*p = -505 + k. What are the prime factors of p? 2, 37 Suppose 27*u = 24*u. Suppose u*j - 16 = -4*j. Suppose -4*z + 244 = -m, -4*z + j*m + 244 = -0*m. List the prime factors of z. 61 Let p = 4562 + -3194. What are the prime factors of p? 2, 3, 19 Suppose 760 = z - 18*d + 23*d, -4*z + 3084 = -2*d. What are the prime factors of z? 2, 5, 7, 11 Suppose 0*v + 3*o = -v - 2, 0 = 3*v + 4*o + 1. Let c be -2 + 6 + v + -87. Let b = c + 127. List the prime factors of b. 3, 5 Let t(j) = 85*j + 2. Let b be t(-2). Let f = b + 240. List the prime factors of f. 2, 3 Suppose 7*r - 43*r = -38268. List the prime factors of r. 1063 Let u(f) = 2*f**2 + 7*f + 5. Let c be (-6)/9 - (-20)/(-6). Let n be u(c). What are the prime factors of (20 - n)/(2 + -1)? 11 Let w(h) = 55*h**2 - 29*h - 157. What are the prime factors of w(-5)? 29, 47 Let o(s) = -571*s + 123. What are the prime factors of o(-5)? 2, 1489 Suppose -10782 = -31*o + 22*o. List the prime factors of o. 2, 599 Let p be ((-2)/(-3))/((-6)/(-27)). Suppose -5*a + m - p*m - 217 = 0, -5*a + 2*m = 233. List the prime factors of (3 + 0)/(a/(-300)). 2, 5 Let t = -20 - -100. List the prime factors of t. 2, 5 Let y(f) = 150*f - 317. List the prime factors of y(5). 433 Let d(i) = i**3 - 17*i**2 + 23*i + 128. What are the prime factors of d(16)? 2, 3, 5 Let b(d) be the second derivative of d**4/12 - 2*d**3/3 + 5*d**2/2 - 7*d. Let r(s) = s**2 + s. Let q be r(-3). What are the prime factors of b(q)? 17 Let f = 10 - 4. Suppose -5*z + 369 = -q, z - 70 = f*q - 2*q. What are the prime factors of z? 2, 37 Suppose -5*k - 4*o = -122, -4*k - 71 + 179 = -2*o. Suppose 5*t - 134 = k. Suppose 4 = 3*n - t. What are the prime factors of n? 2, 3 Let j(a) = -2*a**3 - 2*a**2 + a + 72. What are the prime factors of j(0)? 2, 3 Suppose -o + 3*o - 3*v - 774 = 0, 4*v + 774 = 2*o. List the prime factors of o. 3, 43 Suppose 0 = -10*f + 2*f + 40. Suppose 9 = t + 2*b - 45, -f*b - 195 = -3*t. What are the prime factors of t? 2, 3, 5 Let v be 33 + 0/2 + 2. Suppose 8*p = 6*p - a + 15, 0 = 4*a + 20. Suppose 0 = 5*y - p - v. What are the prime factors of y? 3 What are the prime factors of -3*(-5)/(15/(-4))*-52? 2, 13 Let f(m) = -m**3 + 7*m**2 + 2*m - 7. Let n be f(7). Suppose 0 = -n*y + 5*y + 88. Suppose -2*w + 0*w + y = 0. List the prime factors of w. 2, 11 Suppose -w + 0*h = -2*h - 8, -16 = 4*h. Suppose w = a - 12 - 2. What are the prime factors of a? 2, 7 Suppose -11*z + 2406 = -344. Suppose -5*n + 38 + 617 = 5*y, 2*y - z = 2*n. List the prime factors of y. 2 Let g(m) = -3*m**3 - 12*m**2 + 3*m - 8. Let x(f) = -2*f**3 - 11*f**2 + 2*f - 9. Let b(j) = 3*g(j) - 4*x(j). What are the prime factors of b(5)? 2, 23 Suppose 16 = y - k + 1, 0 = k + 4. Let u = -39 + y. Let v = -11 - u. List the prime factors of v. 17 Let d be 93/2*(-544)/51. Let w = 694 + d. List the prime factors of w. 2, 3, 11 Let q be ((-3)/4)/(5/60). Let x(i) = i**3 + 9*i**2 - 8*i + 6. Let p be x(q). Suppose 0 = -2*t - t + p. List the prime factors of t. 2, 13 Let z be (-7)/(-1) - (-27)/(-9). Let s = -1 + z. Suppose 24 = i - s*g - g, 4*i - 180 = -5*g. List the prime factors of i. 2, 5 Let y(x) = -3*x + 5. Suppose 4*i + 26 = -5*k, 4*i + 2*k = 4*k - 40. Let p be y(i). Suppose -4*o + p = 3*q, -6*q = -2*q - 5*o - 22. List the prime factors of q. 2 Suppose 155 = 5*g - 620. Suppose 2*i - g = i. Suppose 4*c = -5*x + 3*c + 139, 5*x - i = -5*c. List the prime factors of x. 3 Suppose -2*z - 23 = 5. Let c = 18 + z. What are the prime factors of (-15)/c*(2 - 6)? 3, 5 Let s(y) = -y**2 - 15*y - 38. Let d be s(-11). List the prime factors of 1244/d + (-68)/(-102). 2, 13 Suppose 0 = -5*a + b - 1320, -2*a + 2*b = -221 + 749. Let u = -83 - a. List the prime factors of u. 181 Let d be ((-15)/10 + 3)*(-8)/(-6). Suppose -4*t = d*k - 558, -2*k - 4 = -14. List
{ "pile_set_name": "DM Mathematics" }
r d. -5 Solve -4*l - 5*y + 7 = 0, 2*y = -5*l - 2*y + 2 for l. -2 Solve 3*q = 2*h + 8, -5*h + 240 - 253 = -4*q for q. 2 Solve 4*m - 11 = 3*x, -x = -3*m + 2 + 5 for x. -1 Solve -5*c - 8 = -3*c - 2*b, -8 = -4*b for c. -2 Solve -3*t - 15 = 4*b, 3*b - 15 = 3*t + 4*b for t. -5 Solve -8*d = -s - 3*d - 16, 5*s - 1 = -2*d for s. -1 Solve 0 = 5*d - 3*i + 13, 88*d - 2*i - 23 = 91*d for d. -5 Solve -3*k + 19 = -2*z, -19 = -3*k - 4 for z. -2 Solve -3*p = 9, 5*m + 39*p = 34*p - 25 for m. -2 Solve 11*a + 48 = 7*a - 7*b, 5*b + 45 = -5*a for a. -5 Solve 3*j = 2*m - 13, 4*j + 10 = 5*m - 6*m for m. 2 Solve 9*b - 10*b = -3*p + 14, 2*p = 2*b + 8 for b. 1 Solve 3*o - 2*p - 2 = 0, 3*o + 2*p - 2 - 8 = 0 for o. 2 Solve 4*x - 12 = 0, a + 37*x - 20 = 32*x for a. 5 Solve -11*h + 9*h - 9 = -5*n, 0 = h - n + 3 for h. -2 Solve -t = -3*p - 11, 2*t = p - 3*t + 27 for p. -2 Solve 3*l = 4*v - 8, 4*v - 13*l = -8*l + 8 for v. 2 Solve -62*f - 1 = -p - 61*f, 0 = 4*p + 5*f + 14 for p. -1 Solve j - 19 + 0 = 5*s, -2*s = -j + 10 for s. -3 Solve -v + 3*v = q - 4, 0 = -3*v + 5*q + 1 for v. -3 Solve -4*l = 4*g - 8, 6*g + 3 = 10*g - l for g. 1 Solve -29*c + 24*c + 4*z = -1, -20 = 5*z for c. -3 Solve -5 = -n + 8*q - 3*q, 5*n + 4 = -4*q for n. 0 Solve -3*k - 12 = 3*m, -2*k + 3 = 3*m + 10 for k. -5 Solve 5*p + 7 - 30 = -y, -5*y = -5*p + 5 for p. 4 Solve -5 = -g + 2*b, 14*b - 17*b = -2*g + 8 for g. 1 Solve -3*r - 19 = 19*o - 17*o, 3*r - 6 = 3*o for o. -5 Solve 20 = h - 5*m, -m = -3*h + 3*m + 27 for h. 5 Solve -5*u = 2*k + 13, -12 = 5*u + 3*k - 0 for u. -3 Solve 40 = -5*i - 5*q, -6*q - 18 = 3*i - 5*q for i. -5 Solve 4 = -s + x, 11*s + 4*x - 12 = 13*s for s. -2 Solve -z = -4*m - 3, m - 3*m = -2*z for z. -1 Solve -y = -5*u - 26, -24*u - 5*y - 10 = -21*u for u. -5 Solve -4*n + 46 = -5*r + 19, -5*r - 21 = -2*n for r. -3 Solve -2*t - 13 = 3*c, 3*c + 4*t = 5*c - 18 for c. -1 Solve -3*x = -o - 16, 0 = 5*x - 2*o - 37 + 9 for x. 4 Solve -2*h + 5*m - 4 = m, -5*m = 5 for h. -4 Solve 0*r + 4 = 4*r + 4*u, 4*u - 4 = -r for r. 0 Solve -3*m + 5*g = -6*m - 29, -3*g = 2*m + 18 for m. -3 Solve -3 - 23 = -5*u + y, 18 = 3*u - 3*y for u. 5 Solve -2*j = -3*x + 4*x - 2, -4*x - 4 = 4*j for j. 3 Solve 5*y = -s + 5, -4*y + s + 19 = 6 for y. 2 Solve -3*n = -0*a + 4*a - 3, 0 = -n - 3*a + 1 for n. 1 Solve 5*y + 40 = -4*h, 22 = 3*y - 6*y - 2*h for y. -4 Solve 5*z = 2*d - 11, -27 = 2*d + z - 20 for d. -2 Solve -2*h = 2*n + 6 - 8, -3*n - 5*h = -5 for n. 0 Solve -4*o = -2*h + 14, -2*h + 5*o = -3*h for h. 5 Solve 0*g - 3 = 4*i + g, 4*g = 4*i + 8 for i. -1 Solve 4*n + 18 = -2*z, -7 = 2*n - 3*z + 2*z for n. -4 Solve -4*m + a + 2 = -2, -2*m - 4 = -2*a for m. 2 Solve -2*c = 5*q - 6 - 1, -3*c + 5*q = 2 for c. 1 Solve 2 - 6 = -2*v + z, 6 = -3*z for v. 1 Solve -2*m + 0*c - 2 = 4*c, c - 7 = -2*m for m. 5 Solve 2*c + 1 = -g, -3*c + 3 - 7 = -g for c. -1 Solve 0 = -5*g + 9*y - 12*y + 17, 5*g - 3*y = -7 for g. 1 Solve -12 = 5*w + s - 0, -w - s - 4 = 0 for w. -2 Solve 2*h - 3 = -3*c, -4*h - 3 = -c - 16 for h. 3 Solve -l + 3*l = -3*n + 5, 0 = -4*n + 12 for l. -2 Solve -3*p + u + u + 3 = 0, 21 = 4*p + 3*u for p. 3 Solve -5*c + 63*r - 68*r + 10 = 0, r + 10 = 3*c for c. 3 Solve -2*i + 32 = -5*f + 2*i, -3*f = 4*i for f. -4 Solve -5*l - 2*h = 26, -173*h = -174*h - 3 for l. -4 Solve -u = 2*z - 10, z - 6*z - 4*u = -28 for z. 4 Solve 13*m - 2 = 17*m - 2*o, -3*o + 3 = 0 for m. 0 Solve -9*c + 4*c - 5*z + 5 = 0, -2*c = z - 4 for c. 3 Solve 4*q + 20 - 37 = -m, 0 = -2*m - 4*q + 22 for m. 5 Solve -2*s = -o + 6, 6*s - 10*s - 3*o = 2 for s. -2 Solve 3*f = 5*k + 20, 389 = -3*k + 2*f + 377 for k. -4 Solve 0 = -3*b + 2*j + 8, 30*b + 4*j + 16 = 29*b for b. 0 Solve -11*w - 15 = -8*w - v, -w - 2*v - 5 = 0 for w. -5 Solve 40*z = 38*z + 8, 4*z = 2*l + 6 for l. 5 Solve 8*b + 4*j + j + 45 = 0, 0 = -4*b + 2*j - 18 for b. -5 Solve -6 = -p - 3*f - 1, f + 7 = 4*p for p. 2 Solve 5*p + 5*r - 5 = 0, p - 6*r + 2*r + 19 = 0 for p. -3 Solve -5*m + 3*w = -32, w = m - 4*m + 8 for m. 4 Solve 0 = -j - s + 1, -10 = -16*j + 12*j + 2*s for j. 2 Solve 3*v - 2 = -2*g, -24*v = -4*g - 22*v + 4 for g. 1 Solve -24 = -3*v + 3*o, -4 = 2*v - o + 4*o for v. 4 Solve -3*d = 4*g - 11, 0 = 5*d - 2*d + g - 14 for d. 5 Solve -4*g - 22 = -3*g - 4*p, 0 = -3*g - p - 1 for g. -2 Solve -4*x = -n - 4*n + 9, 6 = -3*x + 3*n for x. -1 Solve -3*k - 5*m - 53 = -60, -5 = -k + m for k. 4 Solve -2*r + 2*w - 8 + 4 = 0, 3*w = -5*r + 30 for r. 3 Solve -d + 0*l = -5*l + 29, 0 = 2*d + l + 3 for d. -4 Solve 5*a + 20 = 80*x - 85*x, 2*x = 2*a - 12 for x. -5 Solve -3*r - 2*k + 17 = 0, 18 = r - 4*k + 17 for r. 5 Solve -4*l = -9*l + 2*p - 8, 0 = -4*p + 16 for l. 0 Solve -3*f = 4*n - 20, 2*n = -f + n + 5 for f. 0 Solve -4 = -4*i - 4*z + 8, -5*z = -15 for i. 0 Solve -5*b + 94*u - 95*u = 7, 0 = -4*b - 2*u - 14 for b. 0 Solve 2*w = 5*h - 31, -9*h + 5*h = -20 for w. -3 Solve -3*s = -5*w + 14, 0*s - 17 = 4*s - 5*w for s. -3 Solve 7 = h - n, -3*h - 3*n + 34 = 25 for h. 5 Solve -5*u = 3*m - 22, 3*u + 7 = 5*m - 7 for u. 2 Solve -32*n - r + 12 = -30*n, -2*r = -2*n for n. 4 Solve 4*q + 9 = -l + 25, -5*q + 4*l + 41 = 0 for q. 5 Solve -110*w - c - 28 = -105*w, w + 5*c = -20 for w. -5 Solve 10 = 5*z, 0 = 3*h - z - 5 + 4 for h. 1 Solve 4*c + o + 9 = 2*o, -3*o - 12 = c for c. -3 Solve -5*g = -25, 25 = -5*r - 418*g + 423*g for r. 0 Solve -n + h = -4, 2*n + 95*h - 92*h = -2 for n. 2 Solve 0 = q + 20*w - 17*w + 4, 4*q = -2*w - 6 for q. -1 Solve -8 = 3*o - y, 3*o + 0*y = -5*y + 4 for o. -2 Solve -5*m - 8 = 3*g - 1, 5*g + m + 19 = 0 for g. -4 Solve 4 = 11*v - 13*v, 5*i - 15 = -5*v for i. 5 Solve 2*f + 8 = g, 4*g - 2*g = -5*f - 2 for f. -2 Solve -11*c + 2*l = -19*c + 16, 5*c - 4*l + 11 = 0 for c. 1 Solve -d - 2*x = -6*d - 9, -6 = 3*d - x for d. -3 Solve 3*n + 19 = 4*i, 0 = i + 5*n - 4*n + 4 for i. 1 Solve 0 = 4*j + 5*w + 13, j = -6*w + 3*w - 12 for j. 3 Solve 2*m = -5*y + 1 + 1, 5*m + 4*y + 12 = 0 for m. -4 Solve j + 2*a - 2 = 0, 152*j - 24 = 155*j - 4*a for j. -4 Solve r - 3*o = 7, 4*r + o = 8*r - 17 for r. 4 Solve s + 3*r = 4*r - 4, 2*s = -5*r - 15 for s. -5 Solve -c = -2*n, 2 = 2*c + n - 3 for c. 2 Solve 3*h = -4*q - 14, -3*q + 4 = 177*h - 182*h for h. -2 Solve -9*w + c = -10*w - 3, 3*w + 5*c = -11 for w. -2 Solve c + 21 = 2*k + 4*c, -5*c = 2*k - 31 for k. 3 Solve 5*x - 4*n - 2 = -7, -2*x - 2*n - 20 = 0 for x. -5 Solve -5*u - 2*z + 20 = 0, 3*u - 2*z = -0 - 4 for u. 2 Solve 19*v = 20*j - 15*j - 9, -4 = 4*v for j. -2 Solve t - 17 = -5*v, -7*v + 2*v + 5 = 5*t for t. -3 Solve 0 = -4*t - 4*r - 16, 3*t + r + 5 = 3 for t. 1 Solve -j - 4 = -2*i - 6, -3*j + 6 = 2*i for j. 2 Solve u - 9 = 3*c, -4*u - 13*c + 20 = -17*c for u. 3 Solve w + 3*i + 5 = 0, -3*w - 5*i - 6 + 3 = 0 for w. 4 Solve 0 = -3*w + 53*t - 55*t - 15, 3 = w - 2*t for w. -3 Solve -a - 2*g = 4*a + 20, -3*a - 2*g - 16 = 0 for a. -2 Solve -t + 2*d - 12 = 0, -10*d = 5*t - 11*d + 24 for t. -4 Solve -3*z + 5*w = 1 + 4, 2*z + 5*w + 20 = 0 for z. -5 Solve 2*v = 4*h + 4*v + 18, 17 = -4*h - 3*v for h. -5 Solve -3*t - 6 = -p, 0 = -4*p + 76*t - 75*t + 13 for p. 3 Solve 6*u - 2*u = 3*t + 9, -5*u - 2*t - 6 = 0 for u. 0 Solve -m = 4*g - 17, -3*g - g - 4*m + 32 = 0 for g. 3 Solve 5*k = -m + 48, -2*k - 6*m = -m - 33 for k. 9 Solve 6 = 2*h - x, 2*h = -5*x - 5 + 11 for h. 3 Solve -4*h + 6 = 3*s - 4, 4*s + 12 = h for h. 4 Solve -30*y + 27*y - 7 = -4*p, -5*y + 7*p = 12 for y. -1 Solve -5*c + 5*h - 10 = 0, -2*h + 17 = -5*c + 10 for c. -1 Solve 0 = -y + 5*k + 22, -3 = -4*y - k - 20 for y. -3 Solve 0 = 2*v - l + 2, -v - 4*l = v + 2 for v. -1 Solve 9 = 3*w + 5*i, 5*i = -3*w + 2*w + 13 for w. -2 Solve 5*r - 4*a + 21 = 0, -3*r = -a - 2 + 16 for r. -5 Solve -2*a - 4*r + 7 + 1 = 0, a - 4 = 2*r for a. 4 Solve -15 = -2*l + 5*k, 12 = -l - 0*l - 4*k for l. 0 Solve 5*j + 4*k - 23 = 0, j = 2*j + 4*k - 11 for j. 3 Solve -22 + 10 = -5*n + 2*j, -4*j = 4 for n. 2 Solve -22 = -w + 2*w - 5*m, 5*m = 25 for w. 3 Solve 4*t = -3*q + 15, -3*t = -0*t + 5*q - 25 for t. 0 Solve 4*f + 0*s - 24 = 2*s, -4 = s for f. 4 Solve 4*w + 2*u + 2 = -4, -u = -2*w + 7 for w. 1 Solve 2*n - 7 = w - 3*n, -4*w + 22 = 5*n for w. 3 Solve -4*p - y = -6, 4*p - 5*p - 3*y = 4 for p. 2 Solve -h + 4 = -3*i, 10*h + i = 8*h + 8 for h. 4 Solve 236*y - 235*y - 7 = -3*i, 12 = 4*y + 4*i for y. 1 Solve 2*v = -8, 5*v - 5 + 15 = -2*b for b. 5 Solve 5*q = -5*b + 15, q
{ "pile_set_name": "DM Mathematics" }
. Let u be r(-3). Let g = u + -43. What are the prime factors of g? 2, 3, 11 Suppose 686*g = 692*g - 4866. Let u = g - 290. What are the prime factors of u? 521 Suppose 2*h = 11*h + 18. Let z(a) = -a**2 - 2*a + 4. Let p be z(h). Suppose -p*j + 78 = -3*j. List the prime factors of j. 2, 3, 13 Let f(r) = -184*r**3 - 2*r - 1. Let b be f(-1). Let h = 53 + b. Suppose 5*q = 387 + h. What are the prime factors of q? 5 List the prime factors of (-48)/12 - (9 - 50*370). 7, 19, 139 Suppose 102 = -5*s - 183. What are the prime factors of 5/((-15)/45 + (-20)/s)? 3, 5, 19 Let r = 31529 - 20202. List the prime factors of r. 47, 241 Let u(x) = 3*x**2 - x - 11. Let y be u(4). Suppose 0 = y*i - 31*i - 830. List the prime factors of i. 5, 83 What are the prime factors of (2/12)/(26/446004)? 3, 953 Let n(d) = d**3 + 11*d**2 + 18*d + 6. Let t be n(-11). List the prime factors of (-9)/(2 - (-393)/t). 2, 3 Let p = 1682 + -200. Let v = 3096 - p. What are the prime factors of v? 2, 3, 269 Suppose 4 = 12*k - 8*k. Let t be (k/3)/((-185)/(-30) - 6). Suppose 0 = -3*n - 12, 2*n + 0*n = t*s - 34. List the prime factors of s. 13 Let m(d) be the second derivative of d**5/20 - 7*d**4/6 + 6*d**3 - 9*d**2/2 + 8*d + 2. List the prime factors of m(12). 3, 5 Let o(x) = -2*x**2 - 91*x - 261. List the prime factors of o(-36). 3, 47 Suppose -y + 90 = 5*y. Suppose -5*a = -v - y + 40, 2*v = -4*a - 6. What are the prime factors of 24/5*v*(-20)/(-8)? 2, 3, 5 Let a = 38 - 38. Suppose -3*l + 3 - 3 = a. Suppose 6*h - h - 405 = l. What are the prime factors of h? 3 Let c = 2885 + 2098. What are the prime factors of c? 3, 11, 151 Let r = 222 + -199. Suppose 5244 = r*i - 4*i. List the prime factors of i. 2, 3, 23 Let r = 12810 - 8670. Let o = -2761 + r. List the prime factors of o. 7, 197 Let i be 1/((-28)/(-55416)) + (-1)/7. Let w = i - 1335. What are the prime factors of w? 2, 7, 23 Suppose 5*c - 1555 = 2*k, 0 = 11*c - 13*c - 5*k + 651. Let y = 655 - c. List the prime factors of y. 2, 3, 19 Suppose -12*k + 4129 = j - 10*k, -4*j + 16510 = 5*k. What are the prime factors of j? 3, 5, 11 Suppose 17 = 5*b - 28. Suppose 5*i + o = b*i - 2572, -4*o + 2572 = 4*i. What are the prime factors of i? 643 Let b(f) = 34*f**2 + 17*f - 10. List the prime factors of b(-6). 2, 139 Suppose -851*q = -847*q + 5*v - 90390, -22566 = -q + 4*v. List the prime factors of q. 2, 3, 5, 251 Let d(h) = h**3 + 7*h**2 + 7*h + 2. Let t be d(-4). Suppose w - 7*g = -2*g - 17, 0 = 4*w - 2*g - t. List the prime factors of (106/w)/((-3)/(-36)). 3, 53 Let p(n) be the first derivative of -n**3/3 + 3*n**2 - n + 3. Let t be p(6). Let a(d) = -38*d**3 + 2*d + 2. List the prime factors of a(t). 2, 19 Let f(x) = 14*x - 23. Suppose 75 = 10*w - 5. Let b be f(w). Suppose -j - 5*s + b = 0, -2*j + 0*s = 4*s - 172. What are the prime factors of j? 2, 3, 7 Suppose -p = 9*l - 6*l - 275, 2*p = -2*l + 530. Let r = p - -553. What are the prime factors of r? 3, 271 Suppose 5*s + w = 334, 2*s - s = 2*w + 69. Let c = -64 + s. Suppose -c*b = -363 + 66. List the prime factors of b. 3, 11 Let q = -12956 + 22004. What are the prime factors of q? 2, 3, 13, 29 Let g(c) = 63*c**3 - 2*c**2 - 3*c + 1. Let x be g(-2). Let v = x + 892. List the prime factors of v. 3, 43 Suppose -k + 214 - 213 = 0. Let v be 1 + k - (-10 + 7). What are the prime factors of ((-358)/(-12) + v/30)*7? 2, 3, 5, 7 Let y(k) be the third derivative of -k**5/60 + k**4/8 - k**3/6 - 21*k**2. Let j be y(3). What are the prime factors of (-69 - 16)/((-2)/(-4) + j)? 2, 5, 17 Let b be (-7)/(-21) + 2/3. Let s be (b + 0)*(1 - -2*2). Suppose 1209 = s*p + 254. What are the prime factors of p? 191 Let v be ((1 - 3) + 0)*5/(-10). Let q(w) = 7*w + 3 + 4 - 7 + v. What are the prime factors of q(4)? 29 Let y = 533 + -143. Suppose -2*k - 2*u = -4 - 12, 4 = 3*k - u. Suppose 0*b + k*b - y = 0. What are the prime factors of b? 2, 5, 13 Suppose u + 29 - 164 = 0. Suppose 5*v - u = -4*v. What are the prime factors of v/(-2)*(-540)/50? 3 Let s be 3/(24/(-7864)) + -5. Let a = s + 2085. What are the prime factors of a? 1097 Suppose -7*o + 4*o = 462. List the prime factors of ((-66)/(-2))/(21/o*-1). 2, 11 Let n(g) = -g**3 + 6*g**2 + g - 4. Let b be n(6). Suppose -2*t - 3*l = -547, b*t - 2*l + 43 = 595. What are the prime factors of t? 5, 11 Suppose 182*r - 3575613 = -37*r. What are the prime factors of r? 29, 563 Let s = 13018 + -3926. What are the prime factors of s? 2, 2273 Let m be (-16 + 11 + -167)*1*-1. Let x = 334 - m. List the prime factors of x. 2, 3 Let i(q) = -64*q**3 + 8*q**2 + q + 10. List the prime factors of i(-5). 3, 5, 547 Suppose 4*f = 3*k + 2582, -8*f + 2568 = -4*f + 4*k. Let i = f - -218. List the prime factors of i. 2, 431 Let n be (-2 - (-6 - -5)*105) + 4. Let a = 262 - n. What are the prime factors of a? 5, 31 Suppose -4*m + 260 = -9*a + 6*a, -a = 3*m - 182. Suppose -h = -5*h + 16. Suppose 2*i = 5*i - 5*g - 203, i = -h*g + m. What are the prime factors of i? 2, 3, 11 Suppose 0 = 157*n + 50502 - 2602380. What are the prime factors of n? 2, 3, 7, 43 What are the prime factors of (-5115)/31*1*31*-5? 3, 5, 11, 31 Suppose 3*q + 44179 = 4*o, -q + 45322 = 4*o + 1147. List the prime factors of o. 2, 11, 251 Let p(n) = n**3 + 3*n**2 - 8*n + 118. Let r be p(13). Suppose -17*q = -8*q - r. What are the prime factors of q? 2, 151 Let s be -3 + -4 + (223 - 1). Let i be 42/35*s/2. Suppose 5*y - i = -0*y - 4*u, -79 = -3*y - 2*u. List the prime factors of y. 29 Suppose -26*m + 28*m - 14 = 0. Suppose -m*x - 16*x + 6578 = 0. What are the prime factors of x? 2, 11, 13 Let k(a) = 2377*a - 3257. What are the prime factors of k(6)? 5, 31, 71 Let h(l) = l**2 - 9*l + 10. Let k be h(1). Suppose 4*q = -4*r + 1544, 0*r = q - k*r - 392. What are the prime factors of q? 2, 97 Suppose 2*b + 4*t = 7*b + 285, 2*b + 126 = 4*t. Let v = -47 - b. List the prime factors of (v/15)/((-2)/(-600)). 2, 3, 5 Let y be (-16)/(-6)*(25/(-2) - 1). Let o = -33 - y. Suppose d + 322 = 2*r, -o*d + 644 = 4*r - 8*d. What are the prime factors of r? 7, 23 Suppose 160 = p + 4*o, -7*o = -3*o + 20. Suppose -5*h + 1518 = k, h + p - 480 = k. List the prime factors of h. 3, 101 Suppose 6*t + 7*t = -78. Let z(c) = c**3 + 4*c**2 - 7*c - 9. Let f be z(t). Let k = f + 155. List the prime factors of k. 2, 29 Suppose -10*d = -3*d - 4942. Let n = d + -430. List the prime factors of n. 2, 3, 23 Suppose 43 = -2*h + 595. Suppose -2*u + h = -570. List the prime factors of u. 3, 47 Let z = 538 - 148. Let s(q) = -q**3 - q**2 - 4. Let m be s(-2). Suppose m = 10*u - 5*u - z. List the prime factors of u. 2, 3, 13 Let q = 5619 - -2110. List the prime factors of q. 59, 131 Let l(z) be the first derivative of z**3/3 - 5*z**2 + 43*z - 61. What are the prime factors of l(17)? 2, 3 Let u(n) = -n**3 - 7*n**2 - 12*n - 2. Let l be -2 + (13 - 1)/(-4). List the prime factors of u(l). 2 List the prime factors of (16952/(-78))/((-8)/264). 2, 11, 163 Let v(x) = x**3 + 17*x**2 + 2*x + 44. Let d be v(-17). Let u(i) = 26*i - 155. What are the prime factors of u(d)? 3, 5, 7 Let r = -1551 + 7341. List the prime factors of r. 2, 3, 5, 193 Let v(f) = 221*f**2 - 2*f + 118. What are the prime factors of v(19)? 79861 Let n be ((-34)/14 - -3)/(6/42). Suppose 6*b - n*d - 936 = 4*b, 5*b - 4*d - 2322 = 0. What are the prime factors of b? 2, 3, 7, 11 Suppose 3*d - 4*z = 23, 3*d - 5*d + 20 = 2*z. Suppose -d*j + 228 = -240. What are the prime factors of j? 2, 13 Let b = -1278 + 6562. Suppose 5*y + 2059 - b = 0. List the prime factors of y. 3, 5, 43 Suppose -17*a = -2*u - 22*a + 24516, u - 12243 = 5*a. What are the prime factors of u? 12253 Suppose -6*x + 3*x + 6 = 0. Suppose -6*c = -x*c - 12, -13 = -g - 3*c. Suppose -8*d + g*d = -16. What are the prime factors of d? 2 Let p(n) = 7*n - 9. Let i be p(3). Let f = -18 + i. What are the prime factors of (4/f)/((-10)/735)? 7 Let l be -8*((-6)/(-4) - 4/2). Suppose -4*g - 12 = 4*c, -l*c + 4*g - 24 = 2*g. What are the prime factors of ((-20)/6)/c + 530/6? 89 What are the prime factors of ((-8)/20)/((-5)/427300)? 2, 4273 Let m(p) = 13*p**2 - 14*p - 34. Let a be m(11). Let n = -545 + a. What are the prime factors of n? 2, 3, 5, 7 Suppose -10*d = -782 - 328. Suppose 2725 = -d*y + 116*y. List the prime factors of y. 5, 109 Suppose -4*n + 47265 = h, -3*n - 4042
{ "pile_set_name": "DM Mathematics" }
Simplify ((sqrt(10) + sqrt(20)/sqrt(2))*-1 - -4*1*sqrt(10))/(6*(sqrt(242) + (-2*sqrt(242) - sqrt(242))) - sqrt(242)). -2*sqrt(5)/143 Simplify (sqrt(95)/(sqrt(25)/sqrt(5))*-5 - sqrt(76)/(sqrt(4) + sqrt(36)/(sqrt(72)/sqrt(8)) + sqrt(4)))**2. 4864/9 Simplify (((sqrt(70) - (sqrt(70)*-1 - sqrt(70)))*3 - sqrt(70)*2*-4)/(sqrt(90) - (sqrt(90) + 4*(sqrt(90) - 3*sqrt(90)))))**2. 2023/576 Simplify (sqrt(21) - sqrt(189)*-1)/sqrt(7) - (2*sqrt(243))**2*-5. 4*sqrt(3) + 4860 Simplify -1*(sqrt(20)/(sqrt(4) - (sqrt(100) - (sqrt(100) - -1*sqrt(100)))) + (sqrt(80) - (1 + sqrt(405)))). 1 + 29*sqrt(5)/6 Simplify ((2*sqrt(5808))/(sqrt(12)/sqrt(12))*1)**2*-1. -23232 Simplify 6*(sqrt(51)/(sqrt(9)/sqrt(3)) - ((-1*sqrt(119))/sqrt(7))**2) + (0 + 0 + sqrt(1088))**2 + -1. 6*sqrt(17) + 985 Simplify 4*(sqrt(693)/(sqrt(11) + sqrt(1100)*1 + sqrt(1100)) + -4*(sqrt(63) + 0) + 6*-1*sqrt(63))**2. 174724/7 Simplify (1*-6*(sqrt(66) - (sqrt(66) + (sqrt(66) - 2*sqrt(66) - sqrt(66)))))/(sqrt(162)/sqrt(3) + (sqrt(84)/sqrt(2))/sqrt(7) + sqrt(6)) + -5. -12*sqrt(11)/5 - 5 Simplify (2*(2 + sqrt(3) + 3) + -3)*-2. -14 - 4*sqrt(3) Simplify (1*(sqrt(11) - -2*sqrt(1584)))**2 - (((sqrt(11) + sqrt(66)/sqrt(6))*6)**2 + 3). 5288 Simplify -5 + (5 + 2*sqrt(684))**2*1 + 0. 120*sqrt(19) + 2756 Simplify 4*((1 + (sqrt(147) - sqrt(3)))**2 + -4 - (2*4*sqrt(147))**2). -37212 + 48*sqrt(3) Simplify (1*(sqrt(85) - 1*2*sqrt(85)))/(-6*sqrt(125)*-1). -sqrt(17)/30 Simplify (4*(-1 + sqrt(539) + -1))**2 + 4*((sqrt(539)*2 + 0 + sqrt(539))**2 - sqrt(539)) + -4. -476*sqrt(11) + 28088 Simplify sqrt(7) - sqrt(42)/sqrt(6)*-4 - sqrt(252)*3 - 5*((5*(sqrt(7)*-1)**2 - sqrt(7)) + sqrt(7) + sqrt(7) + (1 + sqrt(7) - sqrt(7))*2 + sqrt(7)). -185 - 23*sqrt(7) Simplify (sqrt(192)/((sqrt(24)/sqrt(3) + sqrt(8))*2))/((sqrt(768) - sqrt(768)*-2)*4). sqrt(2)/384 Simplify (-5 + 2 + sqrt(17) - (-2 + sqrt(272))**2)*-6. -102*sqrt(17) + 1674 Simplify (1 + -6*-6*(sqrt(1372) + -1) + 3)**2. -32256*sqrt(7) + 1779136 Simplify ((3*sqrt(135))/sqrt(9))/sqrt(3) - (sqrt(5)*1 + -2 + 0). 2 + 2*sqrt(5) Simplify (-1*(-2 + sqrt(1900))*-1)**2 + -5. -40*sqrt(19) + 1899 Simplify -3 + (6*(sqrt(162) + -4 + sqrt(162)*1 + sqrt(162)) + -5)**2*-4. -213319 + 37584*sqrt(2) Simplify 4 + ((sqrt(684) + -1)*2 + sqrt(684) - (3*(-2 + sqrt(684)))**2) + 3. -6187 + 234*sqrt(19) Simplify ((sqrt(432) + sqrt(432) + 1)*6 + -4 + sqrt(75) + 3)**2. 1490*sqrt(3) + 66628 Simplify (6*(4 + 3*(0 + sqrt(1088)) + sqrt(1088) + (sqrt(1088) + -1 + sqrt(1088))*-6) + 1)**2. -46848*sqrt(17) + 2510473 Simplify (((-3*-2*sqrt(66))/sqrt(6) - ((sqrt(1331)*-1 - sqrt(1331)) + 2))*3)**2. -1008*sqrt(11) + 77652 Simplify ((1*sqrt(2057) + 0 + 4 + sqrt(2057) + -1 + sqrt(2057))*5*-5)**2. 123750*sqrt(17) + 11576250 Simplify ((sqrt(567) - 3*sqrt(567))/sqrt(9))/(3*sqrt(225)). -2*sqrt(7)/15 Simplify (sqrt(75)*-1 - (sqrt(72)/sqrt(2))/sqrt(12) - (1 + -3 + sqrt(147)))**2*5. -260*sqrt(3) + 2555 Simplify (sqrt(245) + 1 - ((sqrt(245)*-1)**2 + sqrt(245))) + (sqrt(625)*2 + sqrt(625) - sqrt(625))/sqrt(5) + -5. -249 + 10*sqrt(5) Simplify (sqrt(1404) - 2*sqrt(1404))/(sqrt(3)*2*-6). sqrt(13)/2 Simplify (sqrt(1300) + (2*sqrt(1300))**2*-6)*-5 - ((6*(sqrt(1300) - (sqrt(1300) + 0)))**2 + -3). -50*sqrt(13) + 156003 Simplify ((sqrt(10) - (sqrt(50)/sqrt(5) + sqrt(10)))*5 - sqrt(10))/((sqrt(10)*-2)/sqrt(2)) + -1. -1 + 3*sqrt(2) Simplify -4*(2 + (sqrt(11) - sqrt(11)*-2) + sqrt(11)) + -1 + sqrt(275) + sqrt(22)/(sqrt(2) - (sqrt(2) - (sqrt(32) + sqrt(2)))). -54*sqrt(11)/5 - 9 Simplify (-5 + ((sqrt(117)*2 + sqrt(117))*1 + sqrt(117))/(2*sqrt(81)))*-3. -2*sqrt(13) + 15 Simplify 4*((2*(2 + sqrt(363) + 4))**2 + -5 + 1). 2112*sqrt(3) + 6368 Simplify -3 + -3 + 4*(sqrt(847) + (sqrt(847) + 2 + sqrt(847))**2). 396*sqrt(7) + 13562 Simplify -1 + (-5*(sqrt(272)*-3 + 1))**2. -600*sqrt(17) + 61224 Simplify ((sqrt(576) - (sqrt(576) - (2*sqrt(576) - sqrt(576)))*-4)/(-3*1*sqrt(968) - sqrt(968)))**2. 9/242 Simplify (0 + sqrt(99)*1 - (sqrt(99) - (-3 + sqrt(99)*-1) - sqrt(99)))**2*-3 + 1. -26 Simplify (2 + sqrt(52))*-2 + (sqrt(13) + ((sqrt(91)*1)/sqrt(7))**2)*-2. -30 - 6*sqrt(13) Simplify 4*(sqrt(468) - (sqrt(468) + 3*sqrt(468))*-6)**2. 1170000 Simplify -2 + ((sqrt(44) - (sqrt(352) + sqrt(352) + -2*sqrt(352))/sqrt(8))*-3 - ((sqrt(396) + sqrt(396) + sqrt(396)*-2)*-6)/sqrt(9))**2. 394 Simplify (1*(1 + 4*(2 + 0 + sqrt(75))))**2. 360*sqrt(3) + 1281 Simplify (((2*(sqrt(357) - (sqrt(357) - (sqrt(357) - (sqrt(357) - (sqrt(357) - sqrt(357)*-1))))))/sqrt(7))/(6*(-1*sqrt(243) - sqrt(243))))**2. 17/729 Simplify -5 + (sqrt(3) - (sqrt(75) - sqrt(75)*-2) - (-2 + sqrt(15)/sqrt(5)))*-6. -17 + 90*sqrt(3) Simplify 2 + (sqrt(128) - ((sqrt(128)*-1)**2 + sqrt(128))*1) + -3. -129 Simplify -2*(((sqrt(38) - (sqrt(38) + sqrt(114)/sqrt(3)))*-3)/sqrt(2))**2*-5. 1710 Simplify (((sqrt(441) - (-1*sqrt(441) - sqrt(441)))*-2 - sqrt(441))/sqrt(9))/(4*-2*(sqrt(7) + sqrt(28))). 7*sqrt(7)/24 Simplify ((((sqrt(108)/sqrt(3) + sqrt(36))/sqrt(2))/sqrt(9) - ((sqrt(1152)*2)/sqrt(4))**2) + -5)*-6. -12*sqrt(2) + 6942 Simplify ((sqrt(2299)*2 + -3 + -2 + sqrt(2299) + -2 + sqrt(2299))*-2)**2. -2464*sqrt(19) + 147332 Simplify (((sqrt(64)*-2 - sqrt(64))*-3 + sqrt(64))/sqrt(8))/(1*(-2*sqrt(16) + sqrt(4))). -10*sqrt(2)/3 Simplify -2*(((3 + sqrt(153))*-3 - sqrt(153)*3*-6) + 2)**2. -68948 + 1260*sqrt(17) Simplify (4*(sqrt(475) + (sqrt(475) - (0 + -2*sqrt(475))) + (sqrt(475) - ((sqrt(475) + -2*sqrt(475))*1 + sqrt(475)))))**2*-6 + -2. -1140002 Simplify (sqrt(352)*5 - sqrt(352))/(-1*sqrt(176)). -4*sqrt(2) Simplify (sqrt(2736) + -1 + 4)**2*2 + -6*sqrt(38)/sqrt(2)*-3*-4. 72*sqrt(19) + 5490 Simplify ((-2*sqrt(495))/(1*sqrt(396)))**2. 5 Simplify -6*(4*-3*sqrt(66))/(sqrt(3888)/sqrt(8) + sqrt(6)). 36*sqrt(11)/5 Simplify (-2 + (sqrt(1377) + -1)**2)*-1 - (-1*sqrt(1377)*-1 + 5)**2. -2778 - 72*sqrt(17) Simplify 4 + (-2 + ((2*sqrt(280))/sqrt(8))/(5*-5*sqrt(5)))**2. 8*sqrt(7)/25 + 5028/625 Simplify (5*1*sqrt(2) - sqrt(288))*-5. 35*sqrt(2) Simplify ((-2*(sqrt(4) - sqrt(4)*1))/(sqrt(64)/sqrt(2)))**2 + ((sqrt(6)/sqrt(3) + -1)**2 - (sqrt(10)/(sqrt(45) + sqrt(5)) + sqrt(2))). -13*sqrt(2)/4 + 3 Simplify (5*(-2 + (sqrt(19) + sqrt(95)/sqrt(5))*2))**2*-3. -23100 + 1200*sqrt(19) Simplify -1 + 4*(4 + sqrt(98)) + 3. 18 + 28*sqrt(2) Simplify -5 + (5 + sqrt(80)*-1 - ((sqrt(80) - (sqrt(80) + 2)) + 1))**2. -48*sqrt(5) + 111 Simplify ((sqrt(65) + (sqrt(65) + sqrt(65)*2*-3 - sqrt(65)) - ((1*2*sqrt(65) - sqrt(65)) + sqrt(65)))/(sqrt(20)*-1 - (sqrt(405)*-2 - sqrt(405))))**2. 637/625 Simplify ((3 + 2 + sqrt(180) + sqrt(180) + -1)*-3*-5)**2. 21600*sqrt(5) + 165600 Simplify 2 + 4*(-1*sqrt(375) - sqrt(15))/((sqrt(363) - sqrt(363)*-1) + sqrt(363)). -8*sqrt(5)/11 + 2 Simplify ((5*sqrt(288))/sqrt(12))/(sqrt(80)/(sqrt(10)*-5)). -25*sqrt(3) Simplify (-5*((sqrt(176)*-4)/sqrt(4)*6 + -2))**2. 4800*sqrt(11) + 633700 Simplify 4 + sqrt(22)/sqrt(2)*-6 + 5 + 1. -6*sqrt(11) + 10 Simplify (sqrt(80)/(sqrt(4)*2) - (-2*sqrt(2880) + sqrt(2880) - sqrt(2880))**2)*6*-4. -24*sqrt(5) + 276480 Simplify (-4*((sqrt(390) + -2*sqrt(390))/sqrt(10) + sqrt(39)))/((4*(sqrt(48) + sqrt(3)) + sqrt(3))*-5) + 2. 2 Simplify sqrt(68)/((sqrt(144) - (sqrt(144) + sqrt(144)*-2)) + sqrt(4)) + 2 + 3*1*sqrt(17). 2 + 40*sqrt(17)/13 Simplify (4*sqrt(832) + 5 - (-5*(-2 + sqrt(832)) + sqrt(832)))*-3. -192*sqrt(13) + 15 Simplify (sqrt(5) - (sqrt(5) - sqrt(35)/(sqrt(28)/sqrt(4)))) + sqrt(500) + 2 + sqrt(500) + (sqrt(45))**2 + 1 + (sqrt(20)*-5)**2. 21*sqrt(5) + 548 Simplify (0 + 1*sqrt(288) + -2*1*sqrt(288) + sqrt(288) + (sqrt(288) + 5 + sqrt(288) + (sqrt(288) - sqrt(288)*2) - (-1 + sqrt(288) + sqrt(288) + 0)))**2. -144*sqrt(2) + 324 Simplify (2 + -2*(2 + sqrt(2))**2)*-4 - ((sqrt(98) + -2 + sqrt(98))**2 + 5 + 4). -365 + 88*sqrt(2) Simplify (-1 + (4 + sqrt(4050))**2)*-6. -24390 - 2160*sqrt(2) Simplify sqrt(432) + (-3*(sqrt(432) + 1))**2 - ((0 + sqrt(432) + sqrt(432))**2 + -3) - (-2 + sqrt(432) + -3)*1. 216*sqrt(3) + 2177 Simplify -5 + -6*((-4 + sqrt(245) + sqrt(245)*1)**2 + (sqrt(245) + 2 + 0)**2). -7475 + 504*sqrt(5) Simplify (sqrt(76) - 2*-2*sqrt(76) - sqrt(76) - (sqrt(76) - (-2*sqrt(76) + sqrt(76)) - sqrt(76))*-4)/(sqrt(36)/(sqrt(99)/(sqrt(11)*-1)))*5. -40*sqrt(19) Simplify (-4 + -2*(sqrt(156)/sqrt(4)*-1)/(sqrt(432)*-1))*-2. sqrt(13)/3 + 8 Simplify (4 + ((sqrt(252) + -1)*-5 + 4 + -4)*-5)**2. -63
{ "pile_set_name": "DM Mathematics" }
-348*c + 4, -4*c + 4 = 5*k. Solve k = -24*t + 28*t - v + 18, 4*v = 4*t + 12 for t. -5 Suppose k - 11 + 5 = -t, -2*t = -3*k - 2. Solve 3*l = k*n - 9, 5*n = 19*l - 20*l - 3 for l. -3 Let s(b) = 1867*b + 7481. Let z be s(-4). Solve -100*w - u + z = -96*w, -5*u - 19 = -w for w. 4 Let k be (0/((-25)/(-5)))/(-4). Suppose -c - 16 = -5*z, 4 = 3*z - k*c - 2*c. Solve 0 = 3*w + 3*g - 18, -g = z*w - 15 + 6 for w. 1 Suppose 21*q - 81 - 45 + 63 = 0. Solve -4*s = -x - 4, -q*s = -136*x + 141*x - 3 for s. 1 Let h be 7 + (43 + -15 - 15). Solve -4*x - 4*r + h = 0, r = 2*x - r + 10 for x. 0 Suppose -48*n + 33*n = 15. Let f be n/(6/(126*-1)). Solve -4*v = s - 7, -f = 5*s - v + 7 for s. -5 Suppose -1 = 2*o - 9. Suppose 4*b = 19 - 3. Suppose 29 = 20*h + 9*h. Solve -5*f + o = b*q, h + 0 = q for f. 0 Suppose -115*i - 15 = -116*i + 3*c, 2*c = -10. Solve 2*g = p - 12 + 16, 4*p - g - 5 = i for p. 2 Let i(u) = u**3 + 4*u**2 + 3*u + 3. Let m be i(-2). Suppose j + 2*r = m, -j - 2*j - r + 15 = 0. Solve -12 = q + 3*o, -5*q - j = -4*o - 2 for q. -3 Let q(j) = -3*j**3 + 7*j**2 - 8*j + 7. Let l be q(4). Let n = 111 + l. Solve r + n = -d, 5*d - 4*r = 4*d + 14 for d. -2 Suppose 0 = 6*h - 11*h + 60. Suppose h*r + 135 = -3*r. Let z(j) = j + 13. Let i be z(r). Solve 3*f - 2*x = -4, -f + 5*x = -i*f - 11 for f. -2 Let z(r) be the second derivative of r**3/6 - 10*r**2 - 99*r. Let i be z(22). Solve 2*a + 28 = 5*v, i*v - 3*a - 11 - 9 = 0 for v. 4 Let b(n) = 5*n**2 + 2*n + 125. Let x(h) = -14*h**2 - 7*h - 375. Let o(j) = 17*b(j) + 6*x(j). Let d be o(16). Solve 3*p + 12 = 4*t, t - 4 = -d*p - 16 for t. 0 Suppose -91*j + 64 + 389 = -366. Solve -5*n - 6 = 2*k, -j*n - 4*k - 12 = -5*n for n. 0 Let k = -17 + 28. Suppose -4*q + 21 + k = 0. Suppose -q*m + 41 + 247 = 0. Solve 2 = 5*n - 5*y - 3, 0 = -4*n - 4*y + m for n. 5 Suppose 2*h + 2*y - 12 = 0, -2*h - 5*y + 20 = -7*y. Solve 7*l - 14 = t + 3*l, 4*l = h for t. -6 Let k be (-2)/6 + 1/3. Suppose k*j = -5*j + b + 220, b = -j + 44. Suppose -10*w + j = w. Solve -5*x = -a - 22, -5*x + w*a = -0*x - 13 for x. 5 Let a(c) = -10*c - 94. Let j be a(-9). Let p be (j/8)/(1/(-4))*1. Solve 3*f - 3*u - 7 - 2 = 0, 1 = -3*f - p*u for f. 1 Let f be (-1)/(-2)*(9 - 3). Let x = -4985 - -4997. Solve f*y - 5*r = 5*y + 9, 4*y + x = -4*r for y. -2 Let i = -19214 + 19218. Solve -i*a + 12 = 2*c, c - 6*a - 10 = -9*a for c. -2 Suppose 6 - 20 = -j. Suppose -2*r + 25*b = 26*b - 1078, -r + 4*b + 557 = 0. Let y = r - 533. Solve -3*o + 13 = 3*x - y*x, o = -2*x - j for o. -4 Let a = -10 + 12. Let h be 6/(-4) - 6/(-4) - 0. Suppose 5*s - 4*o = 16, h*s + o - 9 = -a*s. Solve -5*d - 10 = 0, s*d = -5*n - d - 10 for n. 0 Suppose -w = -4*p - 10 - 56, 3*p - 3*w = -54. Let c be 6 - ((-64)/p - (1 - 1)). Solve -5*k - 5*y + 35 = 0, c*y = k + 5*y - 17 for k. 2 Let m be (-67)/(-3) + ((-544)/51)/8. Solve p + 9 = -4*f, -3*p - f = -5*f - m for p. 3 Let d = -818 - -820. Let z be (-4)/12*(2 - d). Solve z = -f + l - 2, -5*f - l - 10 = l for f. -2 Let s be (-11)/(77/(-28)) + 26. Let z be 49/10 - (-3)/s. Solve -4*a - z - 1 = -o, 2 = 2*a - 3*o for a. -2 Suppose -188*s = -36*s. Solve 4*n - l = 13, s = 3*n - n + l + 1 for n. 2 Let x be 5/((-15)/2) + (-1800)/54 + 38. Solve 5*d = 2*y - 27, 3*y - 55 = x*d - 32 for d. -5 Let x be -344 + 1 + 120/(-40). Let i = -343 - x. Solve -9 - i = -4*f, -5*f = q - 13 for q. -2 Let s(o) = -o**3 + o**2 - o - 2. Let k be s(-3). Suppose -4*n - 8 = -0*n, -3*a = -2*n - k. Let j = a + -9. Solve -4*u + j = x + 6, 0 = u - 4*x + 1 for u. -1 Suppose 0 = 5*t - 6 - 4, 7 = c + t. Suppose 0 = -22*i + 115 - c. Solve -4*u + 3*j - 5 = -5*u, 0 = 4*u - i*j + 31 for u. -4 Let y(l) = 36*l + 507. Let p be y(-14). Let m = -4 + 6. Let v = 0 - -4. Solve -3*a - 7 = -u, 0 = -v*a + p*u - 9 - m for a. -2 Suppose -7*b + 97 = 6. Suppose -b*p - 70 = -304. Solve 3*a = 2*z - p, -8 - 13 = 3*a - 3*z for a. -4 Let k = -1077 - -1091. Solve 5*q - k = -3*b, 2*b - 3*q + 22 = -3*b for b. -2 Let a(x) = -3*x - 9*x + x**2 + 8 - 2*x**2. Let m be a(-12). Suppose 5*q - 2*h = 140, 5*q - 95 - 45 = -3*h. Solve -u + m = u, 4*p = 3*u - q for p. -4 Let j be ((-13688)/(-4640) - 2/(-40))*682/6. Solve 2*h - 2 = j*r - 339*r, h = -4*r + 11 for r. 2 Suppose 3*c - 27 = 3*m, -6 = 2*m - 2. Solve -f = -5*d, c*d - 10*d = 3*f for f. 0 Let q(p) = -p - 1. Let n = 5 - 8. Let v be q(n). Let k = -238 - -241. Solve v*d = 5*i - 16, 3*d + 9 = -k*i - 2*d for i. 2 Let y(u) = 12 + 3 + 5 - u + 25. Let h be y(41). Solve 3*n + 17 = -s, -s + h*n = 5 - 16 for s. -5 Let u(n) = 719*n - 6471. Let b be u(9). Solve 4*d - 3*c + 51 - 56 = 0, -5*d - 3*c + 13 = b for d. 2 Let p be ((-5)/(-4) + -2)*(14 - (61 - 43)). Solve -3*j = -3*r + p, -j = 21*r - 20*r - 7 for j. 3 Let x(d) = d**2 + 6*d + 8. Let u = 22 - 29. Let p be x(u). Let a be (7/7 + (-6)/8)*8. Solve 3*m = -2*m - r + p, 3*r - 19 = -a*m for m. 2 Suppose -34 = -2*c - 44*w + 48*w, 5*w + 35 = -5*c. Let r be 4/10*5 - 0/2. Solve 0 = -q - 5*v - 6, 0*v = r*q - 3*v - c for q. -1 Let k = -275 - -279. Solve f = -4*w + k, -6*f - 2 = -2*w - 3*f for w. 1 Let f be (649/(-22) - -27)*(-12)/10. Solve -2*p - f - 20 = 5*c, -4*c = -p + 8 for p. -4 Let u(m) = -114*m + 11859. Let c be u(104). Let d = -4 + 6. Solve r + 4*v = -9, c*r - d*v + 0 = 1 for r. -1 Let z(m) = -3*m**3 + 419*m**2 + 142*m - 271. Let w be z(140). Solve 6 = 3*r + 2*i, 0 = -w*i + 5*i for r. 2 Let l = 118 - 118. Suppose -37*m + 38 + 110 = l. Solve -b = -2*c - 2*c - 3, -m*c + 12 = 4*b for c. 0 Let j = 1357 - 1351. Let v be 23 + 1 + 0 + 2. Suppose -4*z - v = 3*u - j*u, -17 = 4*u + 5*z. Solve -5*i - 3*m - 13 = 0, i + 9 = u*m - m for i. -5 Let y = 818 - 814. Solve 0 = -3*g - u + 4, g - 2*u + 8 = y*g for g. 0 Let j(x) = 2*x + 37. Suppose -4*l - 4*p - 56 = 0, -26 - 56 = 5*l - p. Let q be j(l). Solve -2*v + 3*o - 14 = 0, q*v + 0*o = 3*o - 17 for v. -1 Suppose q - 3*q = -10. Suppose -4*m = 3*y - 8, 3*m = q*y + m - 22. Let h = 3 + y. Solve -i - 2*w = -0*w, 2*i = 3*w - h for i. -2 Suppose -4*q = -h + 6, -q = h + q. Let m be (8 - 4)/(-8)*-8. Suppose -6*z = -m*z + 2, x = 5*z + 7. Solve -x*t = -2*a - h*a, t = a for t. 0 Suppose 7*w - 10*w = 0. Suppose w = 4*a - 12*a. Solve 4 = p + d - a, -4*p = d - 7 for p. 1 Let r(u) be the third derivative of -u**5/60 + u**4/24 + 2*u**3 - 2*u**2. Let a = -1 + -2. Let q be r(a). Solve 5*z + q*z = -2*c + 12, -5*z = -2*c - 28 for z. 4 Let q be 9*(4 - -6)/(1 - -1). Let g be (120/q)/(32/36). Solve 0 = -3*y - 3, -g*f + y = 5*y + 13 for f. -3 Let z = -19941 + 19942. Solve 0 = -2*x + u + z, -8*u = -3*x - 7*u + 3 for x. 2 Let d(m) = m**3 + 9*m**2 - 12*m - 15. Suppose -4*x + 5*x = -10. Let w be d(x). Suppose -5 = -w*a + 5. Solve 6 = -a*y + t, -2*t - 20 = 3*y + 2*t for y. -4 Suppose -4*k + r = -39, -2*r - 3 = -3*k + 25. Suppose -5*m + 36 - 6 = 0. Let b be (3 - -1) + -1 - 1. Solve -p = -m*p - b*l + k, 5*p = l + 25 for p. 4 Let n be (-2)/(-5 + 7)*-6. Suppose n*t - 130 + 100 = 0. Solve -3*d = t*f + 10, 3*f + 3*d = 2*d - 2 for f. 1 Let l be 0/106*(-4 + (-3)/(-1)). Solve 7 = o + v + 1, l = -o + 3*v - 10 for o. 2 Let i(k) = 13 + 1 + 3*k + 8*k - 43*k**2 + 45*k**2. Let f be i(-4). Solve -5*x + 14 = q, -3*x + f = -q - 0 for q. 4 Let c(i) = 0*i + 8 + 37 + 4*i - 5. Let n be c(-9). Suppose 0 = -2*w + 5*v + 9, n*w - 3*v - 5 = 6. Solve -w*h - u - u = 0, -5*h + 6 = -u for h. 1 Suppose 0 = 18*s + 12*s + 14*s - 528. Solve m = 4*n + 12, n - 5*n = -4*m + s for n. -3 Let s(o) = -o**3 + 13*o**2 - 31*o - 6. Let c be s(10). Let k be -1 + (3/4)/((-12)/c). Solve k = -4*a - 0*a + 3*p + 15, -4*a - 5*p = 25 for a. 0 Let u = -71 + 82. Suppose -2*v - 18 = -u*v. Let n be -1 - 1 - ((v - 3) + -3). Solve n*d = 0, 0 = -4*l - 2*d + 1 + 3 for l. 1 Let n(r) = 468*r**3 - 9*r + 10. Let d be n(1). Let x = d - 464. Solve -2*t + 6*t + 4 = -5*s, -t - 16 = x*s for t. 4 Let q(w) = 6*w + 74. Let i be q(-12). Suppose -i*n = -3*n + 5. Solve -z - 4*z - 28 = s, 2*s - n*z = 19 for s. -3 Let q(j) = 71*j + 65. Let b be q(29). Suppose 2112 = -3*x + b. Solve 0 = -2*f, 5*f + 3 = -x*n + 7 for n. 1 Suppose 52 = 114*c - 101*c. Solve 4*t = -3*u - 3, u = -u - c*t - 6 for u. 3 Suppose -w = -3*r - 31 - 34, 0 = 3*w + 4*r - 130. Let n = 72 + -52. Suppose 5*d - w = 5*l, 3*d - l = 4*d - n. Solve -5*o - i = -0*o + d, 2*i = -10 for o. -2 Let c = 4008 - 4006. Solve t = h + 6*t + 24, -c*h - 2*t - 16 = 0 for h. -4 Supp
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from yyyrzyzz. 3/28 What is prob of picking 1 m and 1 h when two letters picked without replacement from {h: 1, l: 1, j: 1, r: 1, m: 1}? 1/10 Two letters picked without replacement from {s: 3, q: 2, o: 2, n: 6, e: 2}. Give prob of picking 1 e and 1 s. 2/35 Two letters picked without replacement from {x: 3, b: 1, s: 2, u: 1}. Give prob of picking 1 b and 1 s. 2/21 Three letters picked without replacement from ladldlzlddlzldddddl. What is prob of picking 3 l? 35/969 Calculate prob of picking 2 p when two letters picked without replacement from ffpp. 1/6 Four letters picked without replacement from {o: 1, a: 3, e: 1, f: 7}. What is prob of picking 3 a and 1 e? 1/495 Four letters picked without replacement from xexfeefxxennuxx. What is prob of picking 2 x and 2 n? 1/91 Four letters picked without replacement from {r: 1, j: 6, a: 11}. Give prob of picking 4 a. 11/102 Four letters picked without replacement from hhhhhhhaahhhhhaaha. Give prob of picking 1 h and 3 a. 13/306 Four letters picked without replacement from xuaxnanaauaaaaax. What is prob of picking 1 a and 3 x? 9/1820 Two letters picked without replacement from {h: 2, i: 1, b: 1, u: 4, p: 2}. What is prob of picking 1 b and 1 p? 2/45 What is prob of picking 1 l and 3 u when four letters picked without replacement from uuiuuuuuuuuull? 30/91 What is prob of picking 2 g when two letters picked without replacement from {w: 3, g: 3}? 1/5 Three letters picked without replacement from {j: 2, l: 3, c: 1, i: 3, r: 1}. Give prob of picking 1 i and 2 j. 1/40 What is prob of picking 1 d, 1 s, 1 x, and 1 k when four letters picked without replacement from hssdxddxdk? 8/105 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from wwwnwpwwnwewdqnnwwen. 1/38 What is prob of picking 2 t when two letters picked without replacement from {k: 2, t: 17}? 136/171 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {x: 1, k: 4, f: 8, z: 3, r: 3}. 1/57 Four letters picked without replacement from {v: 3, d: 3}. Give prob of picking 2 d and 2 v. 3/5 Two letters picked without replacement from kktwkkkkwtwk. What is prob of picking 2 w? 1/22 Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hjjgjjhgjjgjhjgg. 1/5 Calculate prob of picking 2 f and 1 y when three letters picked without replacement from yffffffffyf. 24/55 Two letters picked without replacement from lddhlprllld. Give prob of picking 2 l. 2/11 Two letters picked without replacement from rzsvyxry. Give prob of picking 2 r. 1/28 Two letters picked without replacement from {e: 1, f: 2}. Give prob of picking 2 f. 1/3 Four letters picked without replacement from {o: 1, y: 2, c: 5, l: 1}. What is prob of picking 3 c and 1 o? 5/63 Calculate prob of picking 1 y and 2 v when three letters picked without replacement from yvvyymyyyymyyy. 5/182 Two letters picked without replacement from iffffiiifff. Give prob of picking 2 f. 21/55 Two letters picked without replacement from yyyyuqqqqququuq. What is prob of picking 2 u? 2/35 Three letters picked without replacement from {e: 3, b: 5}. Give prob of picking 2 b and 1 e. 15/28 Two letters picked without replacement from tklkltkt. Give prob of picking 1 l and 1 t. 3/14 Two letters picked without replacement from xrxrrrxsrjsrcr. What is prob of picking 2 r? 3/13 Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbabbabbab. 30/91 Four letters picked without replacement from msessmsymsnyme. Give prob of picking 1 n, 2 m, and 1 y. 12/1001 Two letters picked without replacement from ppzpppprrppmwgmpzm. What is prob of picking 2 p? 4/17 Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {i: 3, b: 2}. 3/5 Four letters picked without replacement from {w: 7, c: 8, f: 5}. Give prob of picking 3 c and 1 f. 56/969 What is prob of picking 2 o and 1 z when three letters picked without replacement from zzzzzzozzzozzo? 33/364 Two letters picked without replacement from vdwwmwwm. Give prob of picking 2 m. 1/28 What is prob of picking 2 u and 1 h when three letters picked without replacement from uuuuhuuhuhuu? 27/55 Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {d: 7, f: 2, e: 1, u: 2, j: 1, z: 1}. 3/26 What is prob of picking 1 y and 1 o when two letters picked without replacement from yoyoooyyoorooooroorr? 24/95 Calculate prob of picking 2 n and 1 q when three letters picked without replacement from nqqnnnnqnnn. 28/55 Calculate prob of picking 3 l and 1 c when four letters picked without replacement from {c: 6, l: 7}. 42/143 Four letters picked without replacement from {z: 1, x: 1, l: 1, n: 1, c: 1}. Give prob of picking 1 c, 1 x, 1 n, and 1 z. 1/5 Calculate prob of picking 4 m when four letters picked without replacement from mmmammammmmmam. 30/91 Three letters picked without replacement from {x: 2, v: 1, z: 2}. What is prob of picking 1 x and 2 z? 1/5 Two letters picked without replacement from ooooooooo. What is prob of picking 2 o? 1 What is prob of picking 1 t and 1 l when two letters picked without replacement from dnnxtly? 1/21 What is prob of picking 3 s when three letters picked without replacement from sssssssbsssssss? 4/5 Two letters picked without replacement from {r: 3, k: 4}. Give prob of picking 2 k. 2/7 Calculate prob of picking 2 b and 1 r when three letters picked without replacement from jjhjmrjjrjorbobjhmj. 1/323 What is prob of picking 1 b and 1 t when two letters picked without replacement from htvub? 1/10 Calculate prob of picking 2 l when two letters picked without replacement from {n: 1, x: 1, t: 1, l: 1, b: 1}. 0 Three letters picked without replacement from sxxyvxvvyvxyxxvyyyy. What is prob of picking 2 x and 1 s? 5/323 Two letters picked without replacement from hhhocoooghaogfo. Give prob of picking 1 g and 1 c. 2/105 What is prob of picking 1 l, 2 q, and 1 i when four letters picked without replacement from {b: 1, c: 1, i: 1, q: 3, p: 4, l: 4}? 12/1001 What is prob of picking 2 z when two letters picked without replacement from {i: 16, z: 2}? 1/153 Two letters picked without replacement from daadaaaaasasa. Give prob of picking 2 s. 1/78 Two letters picked without replacement from {s: 6, v: 4, f: 3, i: 2, y: 3}. Give prob of picking 1 y and 1 v. 4/51 What is prob of picking 2 l and 1 c when three letters picked without replacement from {c: 2, l: 3, z: 1, b: 4, e: 1, u: 1}? 3/110 Two letters picked without replacement from {t: 5, b: 1, p: 4}. Give prob of picking 2 p. 2/15 What is prob of picking 3 w and 1 o when four letters picked without replacement from {x: 2, w: 3, c: 2, o: 2}? 1/63 Calculate prob of picking 1 i and 1 q when two letters picked without replacement from qqiiq. 3/5 Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {h: 1, k: 4, c: 6, p: 2}. 0 Three letters picked without replacement from ymmmymmmmmmymmmymmm. Give prob of picking 3 m. 455/969 Four letters picked without replacement from {i: 2, x: 10, o: 2, b: 5, l: 1}. What is prob of picking 1 l, 1 i, and 2 o? 2/4845 What is prob of picking 1 s, 1 i, and 2 h when four letters picked without replacement from {j: 1, i: 4, h: 2, s: 2}? 4/63 What is prob of picking 3 r and 1 d when four letters picked without replacement from {d: 1, t: 1, f: 9, r: 1, e: 8}? 0 Two letters picked without replacement from ookookkokoooko. Give prob of picking 2 k. 10/91 Two letters picked without replacement from {j: 2, h: 5, f: 6, i: 1, l: 3, t: 2}. What is prob of picking 2 t? 1/171 Three letters picked without replacement from ebehbeeheeaheyeeyee. Give prob of picking 1 h and 2 b. 1/323 Two letters picked without replacement from buubuugmmdbg. What is prob of picking 1 m and 1 d? 1/33 Two letters picked without replacement from {a: 3, n: 5, x: 7, j: 2, r: 3}. Give prob of picking 1 x and 1 j. 7/95 Calculate prob of picking 3 z when three letters picked without replacement from {u: 2, z: 1, t: 14}. 0 Three letters picked without replacement from aekikeklepla. What is prob of picking 1 l and 2 k? 3/110 Two letters picked without replacement from zwztrre. What is prob of picking 1 z a
{ "pile_set_name": "DM Mathematics" }
0*w + 2*w - 4*w)*(-3 + 6 - 1) + (1 - 5 + 2)*(-4*w + 0*w + 0*w). -9*w Expand s**5 - 19*s**4 + 5*s**4 + 9*s**4 + 2*s**5 - 4*s**5 + s**5 + (-4*s**3 + 4*s**3 - 2*s**3)*(-4 + 4 - s**2). 2*s**5 - 5*s**4 Expand (-2 - 2*b + 2)*(-1 - 4*b**2 + 16*b**2 + 0*b**2). -24*b**3 + 2*b Expand (-5 - 3*d + 3 + 0)*(-23*d + 27*d + 38*d) + 4*d**2 + 0*d**2 - 2*d**2. -124*d**2 - 84*d Expand (-73 - 170 - 32)*(2*v - 5*v + v). 550*v Expand (2 - 7 + 3)*(2*j + 0*j - 6*j) - 3*j + 4*j - 4 + 2. 9*j - 2 Expand (0*v + v - 2*v - 1)*(2 + 3 - 4) + (v + v + 0*v)*(-5 + 4 - 1) - 3*v + 5 - 5 - 2 + 2 - 2*v. -10*v - 1 Expand 4728 - 129*a**5 - 4728 + (4*a**4 - 3*a**4 + 0*a**4)*(-a - 2 + 2). -130*a**5 Expand 0*g**2 + 3*g**2 - 3*g - 4*g**2 + (2*g - 2*g - 2*g)*(-2*g - g + g) - 3*g**2 - 2*g**2 + 2*g**2 + (3 - 3 - g)*(-4*g + 3*g + 2*g) + 37 - 4*g**2 - 37. -5*g**2 - 3*g Expand (367 - 163 - 153)*(-3 - 3 + 2)*(-7 + 3 + 1 + k). -204*k + 612 Expand (-1 + a + 1)*(-a**2 - 2*a**2 + 2*a**2) - 2*a**3 - 2*a**3 + 3*a**3 - 5601*a - 4*a**2 + 22*a**3 + 5601*a. 20*a**3 - 4*a**2 Expand (2*i - i - 4*i)*(2 - 1 - 2) + (-3 + 1 + 3)*(2*i + 26*i + 23*i). 54*i Expand (2 - 2 + 2*z)*(1 + 0 - 3) - 3*z - 3*z + 4*z - z - z + z + (z - 4*z + 5*z)*(3 - 2 - 3) + 48*z - 79*z + 55*z + 19*z - 7*z - 18*z. 7*z Expand (0 + 3 - 1)*(-6*c - 3*c + 2*c) + 5*c - 4 + 4 + (1 - 4 + 4)*(0 + 0 + 2*c). -7*c Expand (4285 - 4285 - 41*c)*(c**3 - 2*c**4 - c**3) + c**5 + 3*c**5 - 5*c**5 + (4*c - 4*c + 2*c**3)*(4*c**2 - 3*c**2 - 2*c**2). 79*c**5 Expand 3 - 2*b - 3 + (75*b - 125 + 125)*(3 + 3 + 1) + 2*b + 3 - 3. 525*b Expand (-1 + 3 + 3)*(-l + 2 - 2)*(-5*l - 7*l**3 + 3*l**3 + 2*l**3)*(-2*l + 6*l - l). 30*l**5 + 75*l**3 Expand (0 - 1 + 2)*(6*y - y - y)*(0*y**2 + 2*y**2 - y**2). 4*y**3 Expand (2*h - 4*h + 3*h)*(2*h - 2*h - h) - 394*h + 241*h**2 + 394*h - h**2 + 0*h**2 + 3*h**2. 242*h**2 Expand (-6 - 5 + 3)*(4 - r - 4)*(-6*r + 3*r - 3*r). -48*r**2 Expand (4 + 1 - 3)*(-3 + 3 - 5*p**4) - 3*p + 3*p - p**4 + 4*p**4 + 0*p**4 - 13*p**4. -20*p**4 Expand (-4 + 4 - 2*b**2 + 2*b**2 - 5*b**2 + 4*b**2 + (4*b + 0*b - 2*b)*(-3*b + 3*b - 2*b) - 8 + 8 + 18*b**2)*(11 - 29*b + 10*b + 16*b). -39*b**3 + 143*b**2 Expand (-5*q**3 - 545*q**2 - 2*q + 545*q**2)*(-3*q - 5*q + q). 35*q**4 + 14*q**2 Expand (g + g + 0*g)*(g**3 + 5*g**4 - g**3) + 49*g + 7*g**5 - 49*g. 17*g**5 Expand (3 - 1 + 1)*(1 + 3 - 3)*(21*s + 3*s + 2*s). 78*s Expand (121*v**2 - 4*v + 229*v**2 + 4*v)*(0*v - 2*v + v). -350*v**3 Expand (3 + 0 - 1)*(2 + 3*k + 0*k - 2*k) + 29*k + 19*k - 6*k - 2*k + k + 3*k. 46*k + 4 Expand (0*x**3 - 4*x**3 + x**3)*(-5 - 2 + 5)*(3*x - 3*x - 3*x). -18*x**4 Expand (-134 + 44 + 53 + 37 + 3020*t)*(1 + 4 - 3). 6040*t Expand (0*f**3 - 2*f**3 + 0*f**3)*(f + 1 - 1) - 8 + 8 - 6*f**4 + 240*f**2 - 240*f**2 + 12*f**4. 4*f**4 Expand -4*g**2 + 0*g**2 + g**2 - 3*g**2 + 2*g**2 + 0*g**2 + (2*g + 2*g**2 - 2*g)*(3 + 0 - 1) - g + g**2 + g - 16*g + 8*g**2 + 16*g. 9*g**2 Expand (-1 - 1 + 9 + (4 - 2 + 0)*(-2 + 2 - 2) + 6 + 0 - 7)*(-3*g**2 - 2*g**2 + 4*g**2). -2*g**2 Expand (2*d - 4*d + 3*d)*(-2 + 3 - 3) + (-2*d + 2*d + 2*d)*(-1 + 3 + 0) + 4 - 7*d + 9*d - 11. 4*d - 7 Expand (-1 - 2*p + 1)*(-3 - 2 + 34) + 8 + 9 - 15 - 10*p + (-2*p - 2*p + 2*p)*(-2 + 4 + 0) - 2*p + 5*p - p. -70*p + 2 Expand (7*b**2 + 12*b**2 - 9*b**2)*(-b - 3*b + 5*b)*(4 - 2 - 6). -40*b**3 Expand 2*t**4 - 7*t**4 + 3*t**4 + (1 - 8 + 11)*(t**4 - 4*t**4 + 4*t**4). 2*t**4 Expand (29*r - 1 - 68*r - 29*r)*(21 + r - 21). -68*r**2 - r Expand (0 + 5 - 3)*(-2 + 2 + u) + 1787 + 40*u - 1787. 42*u Expand (-3*y**2 + 4*y - 9*y**2 - 2*y)*(4*y + y + 0*y). -60*y**3 + 10*y**2 Expand (-5 + 3*v + 5)*(0*v - 2*v + 4*v + (2*v - 2 + 2)*(-1 + 3 - 3) + 30 - 30 - 3*v). -9*v**2 Expand 47*o**5 + 319*o**5 - 69*o**5 + (-1 + 4 - 2)*(2*o**2 + 2*o**5 - 2*o**2) + o**5 + 5*o**5 - 5*o**5. 300*o**5 Expand 79471*l - 500*l**3 - 79471*l + (1 + 0 + 0)*(-2*l**3 + 4*l**3 - 4*l**3). -502*l**3 Expand 61234 - 95*r**3 - 61234 + (-4*r**2 + 2*r**2 + 0*r**2)*(-r + 2*r + r). -99*r**3 Expand -u**5 + 0*u**5 - u**5 + (0*u**5 - 3*u**5 + 2*u**5)*(-5 + 4 + 3) - 2*u**5 + 0*u**5 + 3*u**5 - 2288*u**2 - 742*u**5 + 2288*u**2. -745*u**5 Expand (-3 + 3 - 3*y)*(-1 + 1 + 2)*(-2*y + 2*y + 24*y**2). -144*y**3 Expand (-6 - 6*y**3 + 6)*(-1 + 47*y**2 - 2*y + 41*y**2 - 91*y**2). 18*y**5 + 12*y**4 + 6*y**3 Expand 3*k**5 + 3*k**5 + 2*k**5 + (-3*k**4 + 3*k**4 + k**5)*(-1 + 2 + 1) + (k**2 - k**2 + 2*k**5)*(1 + 3 + 1). 20*k**5 Expand (-414 - 410 + 843)*(2*o - 2*o - o). -19*o Expand (s + 1 - 1 + (0 - 2 + 0)*(-3 + s + 3))*(-s**4 + 4*s**4 - 2*s**4). -s**5 Expand (-5*f - 66 + 66)*(0 + 2 - 1)*(0 - 2 + 1)*(-1 - 3 + 3). -5*f Expand (4*m - 5*m + 2*m)*(-4 - 5 - 6 - 2 - 2 + 5 + 2 - 5 + 1 + (-6 + 1 + 3)*(-3 + 6 - 4) - 2 + 0 + 1 + 0 - 3 + 0). -18*m Expand ((-4 + 1 + 2)*(6*z - 4*z + z) + 3 - 3 + 2*z)*(-3*z + z - 3*z). 5*z**2 Expand (-2*f + f + 3*f)*(-f + 1 - 1) + 46*f**2 + 184*f**2 + 543*f**2. 771*f**2 Expand (6 + 15 + 1)*(0 + 4*s + 0)*(-1 + 3 - 3). -88*s Expand -130*a**2 - 22*a**5 + 130*a**2 + (-3*a**3 + 3*a**3 + 7*a**5)*(3 - 1 - 5). -43*a**5 Expand (12*m + 14*m + 2*m + 2*m**3)*(1 - 1 - 1)*(-2 + 3 + 2) + 0*m**3 + 3*m**3 - m**3. -4*m**3 - 84*m Expand (21 + 4*g**2 - 21)*(5*g**2 - 30 + 30 + (-g + 0*g + 4*g)*(g + g + 0*g)). 44*g**4 Expand 5*k**4 - 3*k**5 - 5*k**4 + (1 + 3 - 2)*(-8 - 8*k**5 + 8). -19*k**5 Expand (-2 - 2 + 2)*(b + 2*b - 2*b)*((-6*b + 2*b + 2*b)*(-4*b**3 + 0*b**3 + 5*b**3) + 7*b**4 - 2*b**4 + 3*b**4) - 3*b**5 + 4*b**5 + 0*b**5. -11*b**5 Expand ((16*a + a - 26*a)*(-3 - 1 + 5) + (-1 - 3 + 2)*(-a - 6*a + 5*a))*(1 - 1 + 2*a**3). -10*a**4 Expand -8*h**2 + 54 - 9*h**2 + 16*h**2 + (-2*h - 2*h + 2*h)*(-3 + 3 - 2*h). 3*h**2 + 54 Expand (-20 + 6 - 8)*(0*a**2 + 0*a**2 + a**2) + a**2 + 4*a**2 - 3*a**2 + (5*a + a - 2*a)*(a + 0*a + a). -12*a**2 Expand 113*n**2 + 94*n**2 - 162*n**2 + (1 + 1 - 3)*(-1 - n**2 + 1) + 3*n**2 - 5*n**2 + 3*n**2. 47*n**2 Expand (-y - 4*y + 3*y + (-2 + 0 - 1)*(-3 + 3 + 5*y))*(2 - 3 + 2)*(0 - 2 + 0). 34*y Expand (-24 + 24 - 4*r)*(0 + 6 - 4)*(-1 + 2 - 3)*(-r + 3*r + 6*r). 128*r**2 Expand (2*q**2 + 4*q**2 + 3*q**2)*(-2 + 0 + 0)*(0 + 0 - 4*q + 2)*(-4*q - 4*q + 6*q). -144*q**4 + 72*q**3 Expand (-50 + 120*x + 355*x + 2913*x + 50)*(-x + 2*x + x). 6776*x**2 Expand 4*y**5 + 4*y**3 - 4*y**3 + (-3 - 2 + 2 - y)*(-2*y**4 - 6*y**4 - y**4) - 2*y**5 - y**5 + 4*y**5. 14*y**5 + 27*y**4 Expand -3*s - 2*s + 2*s + (3 + 1 - 3)*(-2*s + 2*s + 2*s) + 7 - 3*s + 4 - 4. -4*s + 7 Expand ((-2*c + 0 + 0)*(-2 - 3 + 3) - 3*c + c + 3*c)*(218 + 183 - 102). 1495*c Expand (0*g**2 + 0*g**2 + 2*g**3 + (-4*g**2 - 4*g**2 + 7*g**2)*(3*g - 3*g - 2*g))*(-2 + 6*g + 2 + (-2 + 2*g + 2)*(1 - 1 - 1) - 4*g + g + 2*g). 12*g**4 Expand ((0*f - 2*f + f)*(2*f - 2*f + 2*f) - f**2 - f**2 + f**2 - 4 + f**2 + 4 - 1 + 1 - f**2)*(f - 27*f + f). 75*f**3 Expand -3*y**3 + 2*y**3 - y**3 + (3*y - 257 + 257)*(-3*y**2 + 6*y**2 - y**2) - y - y**3 + y + (5*y - y - 3*y)*(y**2 - 4*y**2 + 2*y**2). 2*y**3 Expand (191 - 191 - 57*h**5)*(1 - 2 + 2). -57*h**5 Expand (4*t**2 + 2*t**2 - 4*t**2)*(-2 + 2 - 2*t) - 5*t**3 + t**3 + 14*t**3. 6*t**3 Expand (8*c + 2*c - c + (-3 + 0 + 4)*(-7*c + 5*c + 5*c))*(1 + 4 - 6). -12*c Expand (141*a**2 - 18*a - 139*a**2 + 105*a + 1)*(2 - 2 + 1). 2*a**2 + 87*a + 1 Expand (0*o - 4*o + 3*o)*(-217*o**3 - 4 + 2 + 13*o + 189*o**3 - o**2). 28*o**4 + o**3 - 13*o**2 + 2*o Expand 7*y - 2*y - 3*y + (3 + 0 + 0)*(3 - 3 - y - 2). -y - 6 Expand (-f - 3*f + 2*f)*(3 - 6 + 2) + 0 + 0 - f + 42*f + 6 + 4 - 7. 43*f + 3 Expand 3*w**4 - 3*w**4 + 6*w**4 + (-4*w**3 + 2*w**3 + 3*w**3)*(-4*w + 3*w - w) + (446 + 29*w - 446)*(w**3 - 4*w**3 + 5*w**3). 62*w**4 Expand (-5 + 3 - 2 + 12)*(h - 5*h + 3*h). -8*h Expand -3*i**3 + i**3 - 2*i**3 + (i + i**3 - i)*(-3 - 2 + 4) + 5 - 19 - 3*i**3 + 3. -8*i**3 - 11 Expand (-26 + 6 - 12)*(0*x - 2*x + x) - 3*x + 4*x + 3*x. 36*x Expand (-3*w**3 + w**3 - w**3)*(28 + 9*w**2 - 28)*(5 + 1 - 4). -54*w**5 Expand (-2*r + r + 8*r)*(-228*r + 100*r + 57*r). -497*r**2 Expand -41*o**2 - 13*o**3 + 41*o**2 - 3*o**3 + 5*o**3 - 3*o**3 + (4*o**2 - 2*o**2 + 0*o**2)*(-o - 2*o + 2*o) - 5*o**3 + 0*o**3 + o**3. -20*o**3 Expand (0 - m + 0)*(5 - 1 - 1) - 2*m + 5 - 2 + 0. -5*m + 3 Expand (-1 + 1 - 2*w**2)*(w**3 - w**3 + 5*w**3) + 12*w**5 + 52*w - 52*w. 2*w**5 Expand -4*q - 5*q**5 + 4*q**5 + 3*q + (-2*q**3 - 2*q**3 + 3*q**3)*(61*q**2 - 143*q + 143*q). -62*q**5 - q Expand (-4 +
{ "pile_set_name": "DM Mathematics" }
83997 to the form d + z*v and give z. -17944 Rearrange 13602957 + 997*k**2 - 13602957 to c + h*k + y*k**2 and give c. 0 Express 35 + 65*l - 13*l - 41*l in the form r*l + k and give k. 35 Express 6*p**4 + 3*p**2 - 2 - 11*p**3 - 27*p**4 - 30*p**4 + 66*p**4 as r + d*p**4 + z*p**2 + f*p + s*p**3 and give s. -11 Rearrange ((6*u - 2*u - u)*(-10 + 1 + 20) - 6*u + 4*u + 6*u)*(-4*u**3 + 3*u**3 - u**3) to the form t*u**4 + v*u + o*u**3 + i*u**2 + b and give t. -74 Rearrange 173 + 22*i - 14*i + 18*i + 43*i to the form w + n*i and give w. 173 Rearrange -4 - 55 - 2*w - 52 + 18*w**2 - 5 + 27 to the form n*w + u + p*w**2 and give n. -2 Express 5*g - 756964*g**4 - 22*g + 756991*g**4 - g**3 - 4*g**3 as x*g + y*g**3 + p*g**2 + l + z*g**4 and give p. 0 Rearrange (9*m - 487 + 286 + 320)*(-5 + 5 - 2) to n*m + b and give n. -18 Express 236*p**4 + 8*p**3 - p**2 - 3*p - 2 - 237*p**4 + 0*p**3 + 1 as l + t*p**2 + j*p**3 + h*p**4 + o*p and give o. -3 Express 2 - 21*q**3 - 44*q - 127*q + 169*q as k + v*q**3 + c*q**2 + b*q and give b. -2 Rearrange 22*m - 861*m**3 + 1538*m**3 - 17 - 678*m**3 - 3*m**2 to the form n*m**2 + y*m**3 + x + o*m and give n. -3 Express -42 + 31*h + 2871 + 31*h - 61*h in the form p + g*h and give g. 1 Rearrange (c - 2*c + 8*c + (-5 + 1 + 3)*(-8*c - 67 + 67))*(3*c**3 - 6*c**3 + 4*c**3) to n*c**4 + s*c**2 + q*c + g + r*c**3 and give n. 15 Rearrange ((y + 0 + 0)*(0*y - 2*y - y) + 0*y**2 - 4*y**2 + 3*y**2)*(664852 - 664852 + 665*y) + y**3 - 2*y**3 + 3*y**3 to m*y**2 + w*y**3 + x*y + r and give m. 0 Rearrange 15669 - 267*k - 31349 + 15678 to the form j*k + b and give j. -267 Express 2*m**2 + 0*m**2 - 3*m**2 + (-5*m - 9*m - 5*m)*(-19 - 17*m + 19) in the form k*m + i + x*m**2 and give x. 322 Express -u**2 + 3*u - 2*u**4 - 36384 + 18191 + 18207 - u**3 as v*u**3 + f*u**4 + g*u**2 + p*u + j and give g. -1 Express 27*u**3 - 11 - 4*u**2 - 22*u**3 - 3*u**2 + 17*u**2 - 12*u**2 in the form x + w*u + z*u**3 + k*u**2 and give x. -11 Rearrange -9042*z**4 + 9039*z**4 - 268*z**3 + 292*z**3 + 1 - 6*z**2 + z to the form y*z**3 + n + m*z**2 + w*z + r*z**4 and give w. 1 Rearrange ((1 + 0 + 1)*(0 - 2*l + 0) - 4*l + 4*l - l + l + l + l - 3*l - 1 + 1)*(32 + 20 - 15) to the form x + m*l and give m. -185 Rearrange 0*s**2 + 121868 - 122715 + 2*s**2 + s**2 to g + n*s + k*s**2 and give g. -847 Express -f**3 - 2*f**2 + 8997*f**4 - 8991*f**4 + 0*f**2 - 6*f**3 in the form n*f**2 + p*f**3 + c + r*f**4 + x*f and give n. -2 Express 2*h - 2*h + h + (0 - 3 + 2)*(-1 - 3*h + 1) + (-4 + 2 - 1 + (3 - 20 - 8)*(5 - 4 + 0))*(-2*h - 3*h + 4*h) - 2*h + 4*h - h in the form v + j*h and give j. 33 Express -3*m**4 + 364*m**3 - 1 - 5*m**2 - 15*m - 362*m**3 + 0 + 2*m**2 as a*m**2 + w + z*m**4 + g*m**3 + n*m and give w. -1 Express 76*v**2 + v**4 - v**3 + 748400*v - 748402*v + 24*v**2 + 88*v**2 - 7 as i*v**3 + m*v**4 + f*v + a*v**2 + s and give i. -1 Express (3*g**3 - g**3 + 0*g**3)*(-5620162 + 5620162 + 10020*g) as a + l*g**2 + n*g + j*g**4 + r*g**3 and give j. 20040 Rearrange -1290 - 18*z**2 + 1087 + 591 to c*z + y*z**2 + k and give k. 388 Express -92*o**3 + 120*o**4 + o - 70*o**3 - 14*o**3 - 117*o**4 - 2*o**2 in the form j*o + d*o**4 + w*o**2 + g + b*o**3 and give b. -176 Rearrange 6165 + 2039*p - 6165 + 2*p**2 to the form m*p**2 + d*p + i and give m. 2 Express 258 + 258 + 267 + 18772*l + 253 - 1034 in the form t*l + c and give c. 2 Express -362*f - 110*f + 205*f in the form a + x*f and give x. -267 Express 19 + 15 + 1167*o**2 - 36 + 1078*o**2 + 1215*o**2 in the form k*o**2 + q + h*o and give k. 3460 Rearrange 188360*n**2 - 188360*n**2 - 486*n**4 + 3*n**3 - 2 - 2*n to the form a*n**2 + o + m*n + r*n**4 + w*n**3 and give r. -486 Rearrange -1526*f**2 + f - 2448*f**2 + 7069*f**2 - 1561*f**2 - 6 to g + k*f**2 + s*f and give k. 1534 Express (0*p - 2*p**3 + 0*p)*(-63 + 8613 - 4280) + p**3 - 3 + 3 as v*p + r*p**2 + n + a*p**3 and give a. -8539 Rearrange -l**2 - 2 + 2 + (-113 + 113 - 126*l**2)*(-2 - 1 + 2)*(-10 + 0 - 4) to the form q + m*l + g*l**2 and give g. -1765 Rearrange (-m - 6*m + 5*m)*(-353 + 369 + 4*m - 5*m) to t + c*m**2 + z*m and give z. -32 Rearrange (2*h - 5*h + 6*h)*(-27 - 34 - 16) + (0*h - 2*h + 3*h)*(0 + 3 - 4) to the form c*h + l and give c. -232 Express ((-1 + 7 + 0)*(293 - 69 + 76) + 11 + 4 - 4)*(z + z**2 - z) as q + f*z + d*z**2 and give d. 1811 Rearrange (2*n - 32 + 32)*(3*n + 3*n - 3*n) - 2*n + 2*n - n**2 - 4*n**2 - 9*n**2 - 3*n**2 - 4*n**2 - 4*n + 4*n to r*n**2 + b*n + q and give q. 0 Rearrange 85 - 85 - 93*o**2 + 1985*o**2 to p*o + f + w*o**2 and give f. 0 Express 6*k**2 + 2 + 0*k + 2*k + 5 + 14000*k**3 - 14005*k**3 in the form l + t*k**3 + x*k + r*k**2 and give r. 6 Express -16*f - 89 + 10*f + 214 + 195 - 57 as g + z*f and give z. -6 Rearrange (3849 - 8480 + 4077)*(-2*s**2 - 1 + 1) - 2*s + 2*s - 2*s - 3*s**2 to y + f*s**2 + u*s and give u. -2 Express 0*d**2 - 2*d**2 - 172 - 3*d**2 - 194 + 6*d**2 as x + g*d + i*d**2 and give i. 1 Express -63 - 4*g**2 - 69 + 2*g + 91 as l*g**2 + t + x*g and give l. -4 Rearrange -664*i + 664*i - 10 + 20*i**3 + 79 - 19*i**2 + 16*i**2 to r*i + o*i**3 + y + b*i**2 and give y. 69 Rearrange (3*c + 20382 - 20384 + 2*c + (-10 + 8 - 6)*(3*c - c + 7*c))*(5*c**2 - c**2 - 5*c**2) to l*c**2 + j + s*c + k*c**3 and give l. 2 Rearrange (618*s - 5871 + 3989 - 617*s)*(2*s - s + 0*s) to z*s**2 + m + x*s and give x. -1882 Rearrange 20 - 387*q - 20 - 277*q to the form y*q + r and give y. -664 Rearrange ((-6 + 0 + 3)*(1339*n - 9*n - 120*n) - n - n + 0*n)*(2*n + 0*n + n) to z*n + i*n**2 + m and give i. -10896 Express (-3661*q**4 - 2743*q**4 - 6643*q**4)*(0 + 1 - 3) in the form w*q**4 + y*q + s*q**3 + h*q**2 + f and give f. 0 Express (-15 + 19*r + 15)*(242 + 243 - 743*r**2 + 236 - 721) as b*r**2 + q*r**3 + z + h*r and give b. 0 Rearrange 17 - 12*w + 106435*w**4 - w - 106437*w**4 + w**2 to the form d*w**4 + t*w**2 + g*w**3 + r + u*w and give r. 17 Express -2 - 3286*v + 6560*v - 3276*v + 776*v**2 in the form b*v + c + r*v**2 and give c. -2 Rearrange -2236*g - 3155*g - 2822*g + 1520*g - 6121*g to the form h*g + p and give h. -12814 Express -51*w + 61*w - 1 + 116*w**2 - 14*w + 2 in the form t*w + q + j*w**2 and give j. 116 Express (-s + s + s)*(-s - 2 + 2) + 8*s**2 - 114*s**2 - 37*s**2 - 85*s**2 + 2*s as v + b*s**2 + q*s and give b. -229 Express -1846*b**2 - 95*b**3 + 1870*b**2 - 39*b**3 as y*b**2 + t*b**3 + z*b + g and give t. -134 Rearrange -z - 75*z**3 + 123*z**3 + 115*z**3 + 305*z**3 to i*z**3 + o*z + l + s*z**2 and give i. 468 Express 3935*j**2 + 2878*j - 2877*j - 4 + 3 + 1 as f + m*j**2 + d*j and give m. 3935 Express 128*d**3 + d**2 - d**2 + 1622*d + 137*d**3 - 266*d**3 in the form b*d**2 + q*d**3 + m*d + w and give m. 1622 Rearrange (34 - 263*k + 37 - 71)*(4 - 1 - 2)*(-34 - 14*k - 17*k + 33) to the form t*k**2 + f + j*k and give f. 0 Rearrange -4*x - 94*x**2 - 252*x**2 - 120*x**2 - 158*x**2 - 228*x**2 to the form v*x + s*x**2 + g and give v. -4 Rearrange 3 + 6537*r - 120*r**2 - 13065*r - 3 + 6533*r to p + w*r + q*r**2 and give p. 0 Rearrange (-w**3 - w**2 + 2*w**2 + 0*w**2)*(-3*w - w + 2*w) - 94*w**4 + 17*w - 72*w**4 + 214*w**4 to y*w**4 + h + n*w**2 + g*w**3 + s*w and give h. 0 Rearrange 4 - 2*i**2 - 2*i**4 + 3*i**2 + 2*i - 2 + 0*i - 3 to g + u*i**3 + b*i**2 + q*i**4 + h*i and give q. -2 Express -24973*f + 0*f**2 + 24970*f - 2*f**2 + 5*f**3 - 139*f**3 as l + j*f + n*f**2 + t*f**3 and give t. -134 Rearrange -816*m - 12200*m - 3 + 2193*m + 3 to the form q*m + t and give q. -10823 Rearrange -491 - 493 + 1008 - 4*s - 88*s to q + z*s and give q. 24 Rearrange 162*x + 4211*x**2 - 52*x - 58*x - 52*x to the form f*x + g + z*x**2 and give g. 0 Rearrange -9*i**3 - 11*i**3 + 3*i**3 + (-6 + 6 - i**2)*(i - 3*i + 3*i) + 79*i - 79*i + 3*i**3 to the form f + r*i**2 + c*i + q*i**3 and give q. -15 Express -81*b + 7*b - 2*b**2 + 13 + 90*b - 2*b**3 as l*b + d*b**3 + s*b**2 + o and give d. -2 Express (-3*c**2 + 17*c**2 + 6*c**2)*(34 - 2*c - 34 + (2*c + 0*c - 3*c)*(1 + 2 + 1) - 4*c - 8*c - c) as p + q*c**2 + b*c**3 + u*c and give b. -380 Rearrange (-35*i**2 - 40*i**2 + i**2)*(11*i + 15*i - 35*i) + 4*i**3 - 42 + 42 + 3*i**2 to u + b*i + c*i**3 + w*i**2 and give w. 3 Express (2*b**2 - 16*b**4 + 5810*b - 2907*b - 2905*b)*(156 - 98 + 65) in the form q*b**2 + d + m*b**3 + x*b**4 + w*b and give q.
{ "pile_set_name": "DM Mathematics" }
1. Put i, d, z in descending order. d, i, z Let c be ((-28)/70)/(10/(-10475)). Let f = -414 + c. Sort -4/3, -1.3, f in descending order. f, -1.3, -4/3 Suppose s = -33 + 365. Suppose 7*o - 304 = -s. Put -2, o, 1, 8 in decreasing order. 8, 1, -2, o Let f be (3/1)/(4880/305*(2 + -1)). Let a = 0.6 - -2.4. Let c = 3.1 - a. Put c, f, 5 in ascending order. c, f, 5 Let r(m) = -2*m - 21. Suppose -5*v - 10 = 0, 0 = -2*w - w + 5*v - 35. Let o be r(w). Suppose -6 = -3*f - o. Sort 8, -2, f, -4 in descending order. 8, f, -2, -4 Let s = 852 + -850. Let u = -4 + 9. Put u, 4, s in descending order. u, 4, s Let j(l) = -88*l**2 - 673*l - 1. Let c be j(-7). Sort -5, -2, 0, c in descending order. c, 0, -2, -5 Let k = 564.3536 + -564. Let u = k - 0.0536. Sort 5, -1/5, u, -4 in descending order. 5, u, -1/5, -4 Let f(x) = x**2 + 22*x + 3. Let h(o) = o**2 + 24*o + 2. Let v(y) = -6*f(y) + 5*h(y). Let z be 0 + 2 + 26/(-2). Let u be v(z). Put -1, u, 1 in decreasing order. u, 1, -1 Let j = -0.42 + 0.02. Let z(p) be the second derivative of -p**5/10 + 7*p**4/12 + p**3/3 + 3*p**2/2 - 2*p + 7. Let a be z(4). Put a, 0.5, j in decreasing order. 0.5, j, a Suppose x + 5*z = 23, 21 = -3*x + 3*z - 0*z. Let u(r) = -15*r - 135. Let v be u(-9). Put 5, x, -5, v in ascending order. -5, x, v, 5 Suppose -4*v + 36 = -16*v + 24. Sort v, -5, 23, -4, -10 in decreasing order. 23, v, -4, -5, -10 Let s = -1.8668 - -9.8668. Let n = 3/14 - 43/70. Let w = 1.3 - 6.3. Sort w, s, 2, n in increasing order. w, n, 2, s Let f be (-1691)/(-890) + (-15)/6. Sort -324, -4, f, -0.2. -324, -4, f, -0.2 Let c = -8963.83 + 8964. Sort -0.5, c, -12, -0.3 in ascending order. -12, -0.5, -0.3, c Let z(v) = -3*v - 19. Suppose 0 = -g + 107 - 115. Let o be z(g). Put 0.5, 0.2, -0.3, o in increasing order. -0.3, 0.2, 0.5, o Let v = -5500 + 5488. Put -2, -1, v, 16, -5 in decreasing order. 16, -1, -2, -5, v Let y(h) = -h**3 - h**2 + 48*h + 60. Let l be y(7). Put -7, 23, l in ascending order. -7, l, 23 Let q be 1 - ((-14)/1 - 4). Suppose -q*g + 42 + 53 = 0. Sort 6, -2, 0, g in decreasing order. 6, g, 0, -2 Let c(q) = q + 4. Suppose 3*v = -0*v - 4*j + 4, 5*v - j = -24. Let l be c(v). Suppose l = -p - p. Sort -1, p, -7 in ascending order. -7, -1, p Let z(d) be the first derivative of d**4/2 - 28*d**3/3 + 14*d**2 - 29*d + 101. Let g be z(13). Sort 3, 1, g, 4 in decreasing order. 4, 3, 1, g Let r(s) = -2002*s + 82072. Let i be r(41). Let q = -1 + 1. Sort i, -3, q, -4 in descending order. q, -3, -4, i Suppose -36*d = 115 - 115. Put 93, 2, -5, d in ascending order. -5, d, 2, 93 Let r = -3751 + 3753. Put r, -7, -98/5 in decreasing order. r, -7, -98/5 Let g = 8 - 3. Suppose j + b = -2, 14*b - 11*b = -2*j - 4. Let i(l) = l**2 + 3*l. Let f be i(-4). Sort j, g, f in decreasing order. g, f, j Let z = -0.205 - 2.795. Let b = 123 - 125. Put 2, z, -0.9, b in descending order. 2, -0.9, b, z Let w be (-2 - (-260)/(-39))*(29 + 1). Let z = -1037/4 - w. Sort -0.1, 5, z in descending order. 5, z, -0.1 Suppose 3*x - 4*d + 19 = 4*x, 4*d = -4*x + 4. Let h(k) = -3*k**3 - k**2 + k. Let n be h(1). Sort 8, x, n, 3 in ascending order. x, n, 3, 8 Let b = 0.3691 + -0.3691. Sort 1/16, -0.2, b, 3, 2 in ascending order. -0.2, b, 1/16, 2, 3 Let r = -28.149 + 28.239. Sort 1, r, -1, 17, -2/9. -1, -2/9, r, 1, 17 Let c(g) = -187*g - 1310. Let b be c(-7). Put b, -5, 16, 4 in descending order. 16, 4, b, -5 Let v be ((-40)/50 - (-42)/15)/(-5 + -2). Let k = 0.8 - -0.2. Sort 12, k, v. v, k, 12 Let w = 325 - 1943/6. Let r = -2 + 1.4. Sort 5, r, w in decreasing order. 5, w, r Let l be (44/55)/(12/10). Suppose -15 - 9 = 6*a. Put 4/7, a, l, -0.3 in ascending order. a, -0.3, 4/7, l Suppose -91*l - 251 = 113. Put 5, -1, l, -21 in increasing order. -21, l, -1, 5 Suppose c - 5*c + 4 = 0, 5*q = -2*c + 17. Suppose 0*h - 4*u = 4*h - 8, h - q = -2*u. Sort h, 14, 2 in decreasing order. 14, 2, h Let u be 3/(-21)*-4 + 8088/28. Let h be (289*1 - -1) + 0. Let c = h - u. Sort 2, 3/5, c in decreasing order. 2, 3/5, c Let l(b) = -b**3 + b - 2. Let v be l(-2). Put v, -5, -2, 9 in decreasing order. 9, v, -2, -5 Let f = 43.36 - 48.36. Put 0, 74.6, -1/7, f, -2 in decreasing order. 74.6, 0, -1/7, -2, f Suppose -49*c - 831 = -978. Put 336, 4, c in descending order. 336, 4, c Suppose -5*f + 4*f = 2*f - 63. Put -6, 2, f, -1 in ascending order. -6, -1, 2, f Let h = -661 - -574. Put 5, h, 2, 0 in descending order. 5, 2, 0, h Let p = -1987/4 - -1609/4. Let f = p - -94. Let t = -51/344 - -1/43. Put t, f, -4, 0 in increasing order. -4, f, t, 0 Let w = -29 - -48. Suppose 11 = -5*r - w. Let d be (1 - 2)*-9 + 17955/(-2025). Put -0.1, d, r in decreasing order. d, -0.1, r Let y be (1*2/(-2))/(2/2). Let i = -2/87 - -91/174. Put y, -0.4, i, -1/4 in decreasing order. i, -1/4, -0.4, y Suppose 0*g + 16 = -4*g. Let r(s) = s**2 + 31*s - 12. Let f be r(-14). Let m = 224 + f. Sort g, m, -5 in increasing order. m, -5, g Let b be (-3*(-4)/(-18))/(153/27). Suppose 3*u - 5*p = -224, 4*p - 12 = p. Let y be u/(-51)*(-6)/10. Sort 17, 3, b, y in descending order. 17, 3, b, y Let o(h) = 7*h + 38. Let l be o(-14). Let z be (18/15)/((-18)/l). Sort z, 2, 0 in descending order. z, 2, 0 Let o be 15 - (5 + 13)*1. Sort -4, o, -437 in decreasing order. o, -4, -437 Let j = -8/3413 + -2242309/13652. Let q(h) = -55*h + 2. Let l be q(3). Let m = j - l. Sort -3, -2/9, m in descending order. -2/9, m, -3 Let n be ((-8)/(-3))/(194/291). Sort -3, -5, n, -7. -7, -5, -3, n Let o = 0.0274 - 44.4274. Let g = -0.051 - 42.949. Let x = g - o. Put x, -3/5, 2 in increasing order. -3/5, x, 2 Let g = 0.608 - 0.7. Let o = g - 2.188. Let f = -0.28 - o. Put 1, f, -2 in increasing order. -2, 1, f Let f = 0.8 - -3.2. Let q be (-2)/52*(9 + -7)*54. Let l = 136/39 + q. Sort f, 2/5, l in decreasing order. f, 2/5, l Let u be 2 - (0 + -2 + 7). Suppose 26 = 2*x + 2*y, 186*y = 189*y - 30. Put x, u, -11 in increasing order. -11, u, x Suppose -39*y = -18*y. Suppose y = 100*p - 92*p. Put 49, p, 5 in descending order. 49, 5, p Let k be 0/(-3) + 2/8. Let c = 459/4 + -115. Sort c, -8, k in decreasing order. k, c, -8 Suppose 15*r + 1291 + 577 = -577. Put r, 6, 5 in descending order. 6, 5, r Let x(w) = -w**3 + 31*w**2 + 20*w - 624. Let b be x(31). Sort -5, 4, 5, b, 3 in descending order. 5, 4, 3, b, -5 Let s = 8068 - 8061. Put s, 36, -0.2 in ascending order. -0.2, s, 36 Let n = -30245 - -30240. Sort -2, -3, n, 0, 2. n, -3, -2, 0, 2 Let x(p) = p**3 + 21*p**2 + 22*p + 28. Let z be x(-20). Let v be z/(-42) + 932/(-28). Let b = -33 - v. Put 1, b, 3 in increasing order. b, 1, 3 Let f be (-20)/32*3/(-10). Let z = -9/16 - f. Let u = 109.7 + -110. Sort u, -2/13, z. z, u, -2/13 Let h = 3 + -9. Let n = h + 4.8. Let j = -1.81 + 6.81. Put j, 1/3, n in ascending order. n, 1/3, j Suppose -5*d + 28 = -4*x, -d + 0*d = 4*x + 4. Let c be 1/12*x + (-136)/48. Put -5, -90, c in descending order. c, -5, -90 Let q = -632 + 638. Sort 4, q, -0.9 in decreasing order. q, 4, -0.9 Let p = 21 + -21. Let k = 0.3 + 0.1. Suppose -5*n - 4*l - 6 = -8, n - 3*l - 8 = 0. Put n, p, k, 0.1 in decreasing order. n, k, 0.1, p Suppose 0 = -35*y + 316 - 1226. Put y, 0, 15 in decreasing order. 15, 0, y Let q = 0.1 + -0.2. Suppose 3*c = 2*a - 17, 4*a + 155 = -32*c + 17*c. Let i be 3*(1 + 21/(-27)). Sort -1, a, i, q in increasing order. a, -1, q, i Let b be (-15)/35 - (-2307)/(-7). Let f be 1/14*-2 + b/42. Suppose -5*r = 3*g + 22, g = -3*r - 2*r - 24. Put f, r, 2 in descending order. 2, r, f Let h be 4/((-1)/(-1) + 0). Let j(f) = 3*f**3 - 21*f**2 - f - 24. Let d be j(7). Put d, h, -1, -4 in ascending order. d, -4, -1, h Let c = -79 - -75. Let w(t) = -2*t**2 - 6*t + 12. Let m be w(c). Sort -26, 2, m. -26, 2, m Let l = 966 - 970. Let x = -0.81 - -0.85. Let s = 8 - 4. Sort 0.5, l, s, x in decreasing order. s, 0.5, x, l Suppose 4*a - 66*f = -61*f - 19, 0 = -5*a + f - 50. Sort 2, 0, a, 1, -4/11 in increasing order. a, -4/11, 0, 1, 2 Suppose -4*h = 4*o, -166*o - 30 = -167*o + 4*h. Sort -3, o, -5, -61, 0. -61, -5, -3, 0, o Suppose -25*d = -3*n - 20*d - 3, 6 = 2*d. Sort 0, -4, 1, n, 1069 in decreasing order. 1069, n, 1, 0, -4 Let r = 11.6 + -11. Let n = r - -4.4. Let p(g) = 2*g**2 - 32*g. Let s be p(16). Put -3, 4, n, s in decreasing order. n, 4, s, -3 Let c = 8 + -7. Suppose 5*u = -i + 28 - 5, -2*i = -2*u + 14. Let p be
{ "pile_set_name": "DM Mathematics" }
z**2 + 2*z - 1. Suppose -6*i + 48 = -204. Suppose -261*d = -254*d - i. What is d*u(m) + 17*g(m)? -2*m - 2 Let g(j) be the third derivative of j**6/60 + j**5/5 - j**4/6 - j**3/2 - j**2 + 17*j. Let s(w) = -4*w**3 - 24*w**2 + 7*w + 5. Determine -5*g(o) - 3*s(o). 2*o**3 + 12*o**2 - o Let i(n) = -n**3 + 659*n - 2. Let t(j) = -j**3 + j**2 + 661*j - 3. Give 3*i(g) - 2*t(g). -g**3 - 2*g**2 + 655*g Let o(x) = x**3 - x**2 - 2. Let z(a) = 63*a**3 + 4*a**2 + 28*a + 8. Determine -4*o(j) - z(j). -67*j**3 - 28*j Suppose 0 = 8*v - 15 - 5 - 12. Let k(r) = 2*r + 5. Let g(w) = 4*w + 10. Give v*g(l) - 7*k(l). 2*l + 5 Let z(c) = 263*c. Let o(f) = -7969*f. Calculate 3*o(i) + 91*z(i). 26*i Let s(p) = 3413*p**3 - 5*p**2 - 10*p + 5. Let r(l) = 3414*l**3 - 4*l**2 - 8*l + 4. What is -5*r(w) + 4*s(w)? -3418*w**3 Let s(t) = -t**3 + t**2 + 2*t - 3. Let w = 285 - 261. Suppose 2*m = 6*m - w. Let y(x) = 5*x**3 - 6*x**2 - 11*x + 17. Determine m*y(o) + 34*s(o). -4*o**3 - 2*o**2 + 2*o Let s be (-2)/9 - 33/(-27). Let f(w) = -9*w - 3 + s - 4*w**2 + w + 4*w. Let c(u) = -5*u**2 - 5*u - 2. Give -5*c(q) + 6*f(q). q**2 + q - 2 Let x(d) be the second derivative of -d**3/3 - d**2/2 + 2173*d. Let g(z) = z**2 + z. Determine -4*g(m) - 3*x(m). -4*m**2 + 2*m + 3 Let w(k) = -4*k**2 - 5. Let a(n) = 2*n**2 + 2. Suppose -440 = r - 3*x, -1260 = 3*r - x + 4*x. Let m = 427 + r. Determine m*w(d) + 5*a(d). 2*d**2 Let v(h) = h**3 + h**2. Let b(y) = 48*y + 19. Let c be b(9). Let r = 452 - c. Let s(f) = -7*f**3 + 3*f**2. Calculate r*s(d) - 3*v(d). -10*d**3 Let k(n) = -8*n**3 + 14*n**2 + 4*n + 6. Let b(u) = 8*u**3 - 10*u**2 - 4*u - 4. Determine 3*b(y) + 2*k(y). 8*y**3 - 2*y**2 - 4*y Suppose 5*l + b = 83, 3 = -b + 2*b. Let m(y) = -5*y**3 - 23 - 25 - 26 + 98 - 19 - 3*y**2. Let h(u) = 26*u**3 + 16*u**2 - 26. What is l*m(j) + 3*h(j)? -2*j**3 + 2 Let u(c) = 5*c**2 + 4*c + 2. Let g(i) = 4*i + i**2 - 276 - 3*i + 277. Suppose -10 = -49*n + 39*n. Give n*u(x) - 3*g(x). 2*x**2 + x - 1 Let c(k) = -182 + 10*k + 63 + 64 - 9*k + 54. Let s(h) = -28*h**2 - 8*h + 8. Determine -8*c(p) - s(p). 28*p**2 Let q(s) = 5*s + 2. Let o be q(3). Let h(r) = r**2 - 6*r + 6. Let g(u) = -3*u**2 + 17*u - 17. Let w = -65 + -11. Let y = -70 - w. Calculate o*h(j) + y*g(j). -j**2 Let u(j) = j**2 - j - 4. Let c(v) = 5*v**3 + 11*v**2 - 10*v - 239. Calculate -c(m) + 11*u(m). -5*m**3 - m + 195 Let v(i) = i**2 - i - 6. Let z = -7 + 13. Let u(n) = 120*n**2 + 12*n + 17. Let m(c) = -79*c**2 - 9*c - 17. Let l(t) = 3*m(t) + 2*u(t). Give z*l(p) - 17*v(p). p**2 - p Let d(z) = -z**3 - z**2 + 2*z + 4. Let p(t) = -26*t**3 - 4*t**2 - 2*t - 2. Determine d(u) + p(u). -27*u**3 - 5*u**2 + 2 Let x(l) = 69*l**2 - 7*l - 148. Let z(o) = 47*o**2 - 5*o - 107. Determine -5*x(y) + 7*z(y). -16*y**2 - 9 Let l(o) = -3*o**2 - o + 200. Let u(g) = -g**2 + 1. Calculate l(y) - 4*u(y). y**2 - y + 196 Let d(k) = 11*k**2 - k - 69. Let q(t) = -2*t**2 + t + 1. Give -d(s) - 4*q(s). -3*s**2 - 3*s + 65 Let b(r) = -7*r**3 - 49*r**2 - 9*r + 1527. Let m(i) = -3*i**3 - 22*i**2 - 4*i + 764. Calculate -4*b(h) + 9*m(h). h**3 - 2*h**2 + 768 Let w(o) = -799*o - 54. Let v(b) = 399*b + 32. What is 5*v(u) + 3*w(u)? -402*u - 2 Let j(z) = -54*z - 325. Let r be j(-6). Let u(q) = q**3 - 1. Let h(y) = 15*y**3 + 4*y - 6. What is r*h(k) + 6*u(k)? -9*k**3 - 4*k Let v(l) = -l**3 + 13*l**2 - 60*l + 244. Let r be v(11). Let f(n) = -1015*n**2 + 174*n + 174. Let w(q) = 29*q**2 - 5*q - 5. Calculate r*w(c) - 5*f(c). 29*c**2 Let n(u) = 3*u + 5. Let q be 12*(-6)/(6 + -24). Let s(v) = -25*v - q - 21*v + 44*v. What is 3*n(r) + 4*s(r)? r - 1 Let o(p) = -12*p**2 + 6*p + 2. Let j(r) = -r**2 + 18*r - 39. Let w be j(3). Let a(l) = -11*l**2 + 5*l + 1. Calculate w*a(y) - 5*o(y). -6*y**2 - 4 Let p(y) = -y**2 - 455*y. Let m(i) = 2*i**3 - i**2. What is m(x) - p(x)? 2*x**3 + 455*x Let m(l) = -11*l + 3. Let c(u) = -87*u + 2069. Determine c(h) - 8*m(h). h + 2045 Let o(f) = -5*f**2 + f - 1. Let s be ((-7)/(-2))/(18/36). Let n be s - (-4)/(-6)*3. Let u(y) = -1 + 2 - n - 2*y + 6 + 9*y**2. Give 5*o(i) + 3*u(i). 2*i**2 - i + 1 Let q(a) = 393 + 410 + 391 - 1195. Let d(i) = 0 + 0 + 2*i. Determine d(f) - 3*q(f). 2*f + 3 Suppose 21*c + 47 = -37. Let t(s) = 5*s - 19. Let r(z) = 2*z - 9. Let x(i) = i**3 + 13*i**2 + 16*i + 57. Let d be x(-12). Calculate c*t(p) + d*r(p). -2*p - 5 Let n(y) = 1338*y - 110. Let q(g) = 8029*g - 682. What is 31*n(h) - 5*q(h)? 1333*h Let j(c) = 32*c**3 - 17*c**2 + 2*c. Let d(v) = 4*v**3 - 2*v**2 + v - 3. What is 2*d(l) - j(l)? -24*l**3 + 13*l**2 - 6 Let j(x) = -4*x - 87. Let z(h) = 3*h - 1. What is j(g) + 3*z(g)? 5*g - 90 Let k(s) = 3*s + 31*s - 35*s. Let v(q) = -1. Determine 2*k(z) + v(z). -2*z - 1 Let r(p) = 2*p + 5. Let v(c) = -2*c + 3. Let b(m) = -19*m + 28. Let h(q) = -b(q) + 9*v(q). What is 6*h(g) + r(g)? 8*g - 1 Let b = 2271 + -2267. Let g(u) = -13*u**2 - 4*u. Let a(x) = -272*x**2 - 85*x. Calculate b*a(i) - 85*g(i). 17*i**2 Let d(o) = -9*o**2. Let s(t) = -t**2. Let k(w) = -6*w - 26. Let f be (-60)/(-210) - (1 - (-46)/14). Let h be k(f). What is h*d(u) + 14*s(u)? 4*u**2 Let u(p) = 43*p**2 + 5*p + 6. Let r(j) = -85*j**2 - 10*j - 11. Determine 6*r(f) + 11*u(f). -37*f**2 - 5*f Let c(k) = -1749*k + 14. Let x(o) = -o + 2. What is c(q) - 8*x(q)? -1741*q - 2 Let q(x) be the second derivative of -17*x**3/6 - 3*x**2 - 5*x + 464. Let n(o) = -o + 1. Calculate 5*n(j) + q(j). -22*j - 1 Let w(p) = -469*p - 458. Let i be w(-1). Let q(z) = -177*z**2 + 11. Let b(f) = 59*f**2 - 4. What is i*b(l) + 4*q(l)? -59*l**2 Let h(g) = 2*g**3 - 24*g**2 - 28*g + 335. Let d be h(12). Let i(m) = 13*m - 6. Let x(z) be the third derivative of -z**3/6 + 4*z**2. Give d*i(v) + 6*x(v). -13*v Let n(w) = -50*w - 24. Let b(l) = -106*l - 47. What is -4*b(i) + 9*n(i)? -26*i - 28 Let n(c) = -11*c**3 - c**2 - 9*c - 894. Let j(z) = 9*z**3 + z**2 + 7*z + 901. What is 6*j(q) + 5*n(q)? -q**3 + q**2 - 3*q + 936 Let x(t) = -5*t**2 + 4*t - 9. Let r(s) = 25*s**2 - 15*s + 33. Let k(w) = 6*r(w) + 22*x(w). Let b(q) = 41*q**2 - 2*q. What is 4*b(c) - 3*k(c)? 44*c**2 - 2*c Let g(p) = -12*p**2 + 12*p + 48*p + 16*p + 17 + 25*p**2. Let x(v) = 3*v**2 + 19*v + 4. What is 2*g(s) - 9*x(s)? -s**2 - 19*s - 2 Let p(k) = -21*k + 64. Let i(m) = -m - 3. What is -6*i(x) + p(x)? -15*x + 82 Let h(q) = -127*q + 8 + 2*q**2 - 130*q + 270*q - 9. Let s(z) = -2*z**2 - 14*z + 1. Give 6*h(u) + 5*s(u). 2*u**2 + 8*u - 1 Let g(z) be the third derivative of z**4/12 + z**3 + 22*z**2. Let b = -7084 + 7086. Let w(l) = -l - 6. Calculate b*g(q) + 3*w(q). q - 6 Let d(o) = 16*o**3 - o**2 + 36*o - 27. Let j(r) = 5*r**3 + 14*r - 9. Determine 3*d(w) - 8*j(w). 8*w**3 - 3*w**2 - 4*w - 9 Let u(q) = 7*q**3 + 169*q**2 - 4*q + 4. Let k(j) = 29*j**3 + 678*j**2 - 18*j + 18. What is 2*k(v) - 9*u(v)? -5*v**3 - 165*v**2 Let s(q) = -17*q**3 + 3*q**2 - 234*q - 2. Let g(l) = -14*l**3 + 2*l**2 - 233*l - 2. Calculate -5*g(r) + 4*s(r). 2*r**3 + 2*r**2 + 229*r + 2 Let n(s) = -102*s**3 - 10*s**2 - s + 61. Let d(w) = -102*w**3 - 8*w**2 - w + 47. Determine 4*d(v) - 3*n(v). -102*v**3 - 2*v**2 - v + 5 Let t(d) = 1289595*d**2 + 15645*d + 10430. Let h(p) = -1484*p**2 - 18*p - 12. Calculate 5215*h(u) + 6*t(u). -1490*u**2 Let i(o) = 22*o**3 + 137*o**2 - 4*o + 28. Let d(h) = -20*h**3 - 138*h**2 + 5*h - 35. Calculate 4*d(c) + 5*i(c). 30*c**3 + 133*c**2 Let k(m) = 5*m. Let w(f) = f. Let g be (-55)/(77/(-7)) - (1 + -1). Suppose -g*o - 5*x - 14 = 6, -3*o + 3*x = 0. Calculate o*w(b) - k(b). -7*b Let s(m) = -10*m**3 - 5*m**2. Suppose 5*f - 69479 = 62631. Let r(h) = 2*h**2 + f - 26422 + 5*h**3. Calculate 5*r(i) + 2*s(i). 5*i**3 Let h(y) = y**3 - 78*y**2 + 318*y - 87. Let q be h(4). Let p(u) = -6*u + 14. Let z(c) = 0 + 0 - 1. Determine q*p(f) + 12*z(f). -6*f + 2 Let z(l) be the second derivative of 0 - 7/12*l**4 + 204*l + l**2 - 5/6*l**3 + 1/10*l**5. Let j(c) = 3*c**3 - 11*c**2 - 8*c + 3. Give -5*j(k) + 8*z(k). k**3 - k**2 + 1 Let l(r) = -854*r**3 - 182*r. Let v(w) be the third derivative of -7*w**6/60 - w**4/8 + 1272*w**2. Calculate 6*l(b) - 364*v(b). -28*b**3 Let h(x) = -7*x**2. Suppose 7*v - 18 = 10*v. Let r be (1 - 3)/((-4)/(-10)). Let g(z) = 4*z**2 + 5*z**2 + 10*z**2 - 13*z**2. What is r*h(a) + v*g(a)? -a**2 Let h(p) = 41*p**2 + 9*p**2 + 16*p + 3 + 2*p**3 - 41*p**2 + 5*p**3. Let i(q) = -3*q**3 - 4*q**2 - 8*q - 1. Give -2*h(j) -
{ "pile_set_name": "DM Mathematics" }
-0.01018327 -376.98981673 45871.3 - -9.2 45880.5 What is 3 minus 2387415.35? -2387412.35 Work out -367 - -41856640. 41856273 What is -580289398 minus 4? -580289402 What is -403304.7 plus -0.276? -403304.976 What is the distance between -3.731302 and 0.039? 3.770302 Add together -4 and -13044.16112. -13048.16112 -166.6 + 0.12062 -166.47938 0 + 0.05292972 0.05292972 What is 38244344 take away 4? 38244340 What is 298182.44 less than 0.2? -298182.24 What is 0.208213 take away 0.276? -0.067787 What is 8 - -8266.0139? 8274.0139 -32.9+-0.082192 -32.982192 Subtract 43297.48 from 0.0057. -43297.4743 19 + -155081417 -155081398 What is -662173948 take away -5? -662173943 Total of 4909619 and 0.5. 4909619.5 Add 210.3277 and -7. 203.3277 Calculate 35315 + 2874. 38189 Work out 1.997 - 1221.032. -1219.035 Calculate 0.5 - -177313900. 177313900.5 245126.15133 + 0.5 245126.65133 818643+10 818653 What is the distance between 0 and 1808890281? 1808890281 -41.808 + -195548 -195589.808 Sum 5 and 18614726. 18614731 What is -53.521728 minus 45? -98.521728 What is -0.4 take away -25355650? 25355649.6 Work out -24.7 - -0.340067956. -24.359932044 Calculate -0.12 - 465518442. -465518442.12 What is -2441074.09 minus -0.52? -2441073.57 What is the difference between 14634781 and 0.1? 14634780.9 Put together 25 and 2622.627. 2647.627 What is 16.7033 + 0.0598? 16.7631 Work out 8653907 - -35.59. 8653942.59 What is 35.3799 less than 0.0159? -35.364 What is -7.629742 take away 2019? -2026.629742 Subtract 0.08 from -3625277. -3625277.08 What is -3.09662684 - -1? -2.09662684 What is 44 plus -105533? -105489 -0.1 - 33.250331 -33.350331 Work out -0.80319 - 195.45. -196.25319 What is 126 minus 549442? -549316 Sum 0.0984 and -277654. -277653.9016 17454.337 - -0.003 17454.34 What is 0.018 + -14929.42? -14929.402 What is the difference between -44.6 and -1554.11? 1509.51 Add 138715.74 and 9. 138724.74 What is -1 plus 1.5428261086? 0.5428261086 Subtract 754544 from 0.49138. -754543.50862 Subtract -0.0368 from -21916.9. -21916.8632 What is 41 - 1366400? -1366359 What is the distance between 3291 and 17868? 14577 Total of 2795.449911 and -0.1. 2795.349911 Add -303.301 and -2. -305.301 What is -0.018 less than -8.74589? -8.72789 Add together 0.2479609 and 1758. 1758.2479609 Subtract 13800384 from 0. -13800384 What is 356 minus 46763.099? -46407.099 What is -116.371 take away -6120? 6003.629 What is the distance between 0.0696 and -156597? 156597.0696 -1459809178 + 0.3 -1459809177.7 Subtract -6 from 23409049. 23409055 What is 32034 less than -0.19? -32034.19 Total of -21655152 and -15. -21655167 0.053292 + -1137.59 -1137.536708 Sum 1 and 2.15262458. 3.15262458 Calculate -0.90027 - -3895. 3894.09973 11 + 1140028 1140039 Calculate -1 + 1605.43. 1604.43 Sum 1216.17 and 723. 1939.17 -7+107464027 107464020 Put together 66.3947171 and 1. 67.3947171 -13863.876 + -10 -13873.876 34566396 - -5 34566401 807.46+-48 759.46 Add together -4645 and -7.654. -4652.654 Add together 38524 and 350182. 388706 What is the distance between 103727049 and 0.02? 103727048.98 What is the difference between 0.4 and 0.1869001527? 0.2130998473 Total of 35.2 and -100.05. -64.85 What is 3657898 - 1? 3657897 Subtract -1948963 from -33.06. 1948929.94 What is -7617858691 minus 0.5? -7617858691.5 -12+41.016482 29.016482 Work out -126 + 36.632555. -89.367445 What is 33.3 - -635852? 635885.3 What is -21.77205 - 6807? -6828.77205 Work out -9.2340822357 - -3. -6.2340822357 Calculate -1760 - 199.1. -1959.1 What is the difference between 291471627.3 and -4? 291471631.3 0.47 + 689758 689758.47 What is 39.05 less than -0.4417? -39.4917 Add together -24279596 and 293. -24279303 What is 16 plus -95.1465209? -79.1465209 Subtract -27 from -66968.7222. -66941.7222 Work out 0 - -742044401. 742044401 Subtract -13756310 from 337. 13756647 Work out 0.01597 - -1.11258. 1.12855 What is 7.818 take away 21.987? -14.169 Calculate 11512547 + 3. 11512550 Calculate -0.0415 - -880.4354. 880.3939 Work out -253 - -19784.3. 19531.3 Add 63 and -12677.268. -12614.268 Calculate 1 - -4086.89745. 4087.89745 Add together -1418300 and -53. -1418353 Add -1 and 1182212. 1182211 0.898253 + -721 -720.101747 Work out -100604033 - 0.021. -100604033.021 Work out 131 + -12349. -12218 -7602 - 154.3973 -7756.3973 What is 1963284559 + -13? 1963284546 -0.05+18.92500988 18.87500988 Total of 931549.57 and 9. 931558.57 Work out -4.22 + 3826276. 3826271.78 Work out 94.25 - -0.17291. 94.42291 What is 0.054602 plus 1716? 1716.054602 What is 97.7468 take away 6? 91.7468 2.7 - -85721.05 85723.75 3632636 + -0.5385 3632635.4615 What is -134 take away 4737.166? -4871.166 What is 0.3 minus 1047.0682713? -1046.7682713 Add together 2.8 and -22589304. -22589301.2 0.023154009+0.64 0.663154009 What is -7420.6375 + 446? -6974.6375 What is 0.11782398 - -336? 336.11782398 Calculate -6862487 + -0.1149. -6862487.1149 0.5 + -147.823405 -147.323405 What is -6893 take away 305.22? -7198.22 Add together 36758499 and 3. 36758502 Calculate -0.048 - 663172. -663172.048 What is -78.98 minus 59? -137.98 Total of -9 and -20075001. -20075010 Put together -0.07796 and 415. 414.92204 Work out 52631991 + 3. 52631994 What is the difference between 79390 and 229544? 150154 Calculate 9698.070838 + 0.5. 9698.570838 What is 217 take away -283582? 283799 What is -16.47342287 minus 0.2? -16.67342287 Add -82 and 36.804743. -45.195257 Sum 76.5332 and 0.05. 76.5832 -11046 - -85.3 -10960.7 What is -38.79 minus 1795? -1833.79 What is -6.3 - 89781.1? -89787.4 What is -62506380.58 + -0.1? -62506380.68 What is -11327.79 plus 100? -11227.79 Subtract 0.1 from -1768005317. -1768005317.1 What is the difference between -0.7 and -0.01637786? 0.68362214 Total of 1201308.9 and -1738. 1199570.9 What is -1088 plus -0.01764408? -1088.01764408 Sum 112627633 and 0.2. 112627633.2 Total of 414 and 0.692356. 414.692356 What is -5 - 33359922? -33359927 Work out -94 - -3022397. 3022303 Sum -27025401 and 901. -27024500 What is the difference between 349 and 0.051851797? 348.948148203 Put together 0.157 and -0.086209. 0.070791 Sum -0.1964 and 584828. 584827.8036 What is -0.15 plus -1202903.49? -1202903.64 What is -4 + 24946.2? 24942.2 Calculate -16000038704 + 0.1. -16000038703.9 Work out -987123 - -42. -987081 203.352 - 1.7456 201.6064 What is -310 minus 338286.3? -338596.3 Calculate -294373262 + -0.4. -294373262.4 What is the distance between 8.51 and -4331338? 4331346.51 Work out 2849337 + -10. 2849327 -2 + 5090591 5090589 Work out -6 - 21866.06. -21872.06 What is 7.2 + 0.41517? 7.61517 Total of 0.06 and 25959.79. 25959.85 Work out 15316.655 + -0.02. 15316.635 Total of -135.79742 and -0.06. -135.85742 What is 3 - -2297847384? 2297847387 What is the difference between 3 and -139512.617? 139515.617 What is -0.695699 - 1.02? -1.715699 Add 66 and -33560120. -33560054 1 + -4481005 -4481004 Total of -0.2 and 1629.6793. 1629.4793 -0.0588 + -255692 -255692.0588 Add -135.02 and 86144. 86008.98 Add together -22.720092 and 0.339. -22.381092 What is -7835 minus 1398? -9233 Calculate -139202051 - -0.2. -139202050.8 What is -0.2 take away 1448393915? -1448393915.2 Calculate -0.6 - 19305512006. -19305512006.6 Add together -2.7 and -584464139. -584464141.7 Work out 0.33 - 338068330. -338068329.67 Add together -20216278 and -350.7. -20216628.7 What is the difference between -16 and 13.87931? 29.87931 Work out -91 - -181159. 181068 What is -0.1 plus -1075730684.3? -1075730684.4 Add -3584261259 and 4. -3584261255 What is 31.56 minus 2306313? -2306281.44 1.2 + -59996.591 -59995.391 Work out -35091 + 1146595. 1111504 Subtract 0.06751824 from -975. -975.06751824 Subtract -61790 from -14382. 47408 Total of -0.662 and 0.00137. -0.66063 Sum -321 and 163.29. -157.71 What is 98352.03 less than -2? -98354.03 What is 0.07557113 less than -0.01? -0.08557113 78+5041454 5041532 Subtract 0.02 from 4436.595. 4436.575 Subtract 0.29 from -491317218. -491317218.29 What is 4 less than -0.0662785437? -4.0662785437 Work out 45308103 + 11. 45308114 What is the difference between 225.7792 and 14? 211.7792 Add 0.05 and 10.594853. 10.644853 What is -1 minus 56598955? -56598956 What is -1679097 less than -1819? 1677278 Work out -0.018504 + 175436. 175435.981496 What is -10241392 l
{ "pile_set_name": "DM Mathematics" }
u*n(a) + 5*t(a). 4*a Let q(p) = p + 1. Let y(x) = -4*x - 3. Let l(j) = -3*q(j) - y(j). Let a(h) = h**2 - 12*h + 22. Let k be a(9). Let b(m) = -4*m + 2. Calculate k*l(u) - b(u). -u - 2 Let x(c) = -5*c**2 + 17. Let q(o) = -3*o**2 + 8. What is 13*q(b) - 6*x(b)? -9*b**2 + 2 Let n(f) = 13*f - 3. Let d(b) = -4*b + 1. What is -7*d(l) - 2*n(l)? 2*l - 1 Let n(r) = -16*r + 17. Let p(d) = 24*d - 25. Let q(s) = -8*n(s) - 5*p(s). Let g(t) = -3*t + 4. Suppose x = -5 + 16. What is x*g(f) + 4*q(f)? -f Let b(t) = -5*t**2 + 2*t + 3. Let j(l) = -6*l**2 + l + 4. Let i(r) = -3*b(r) + 2*j(r). Let c(p) = -p**2 + p. What is -4*c(x) - i(x)? x**2 + 1 Let c(l) = -2*l**3 - 2*l. Let m(s) be the second derivative of -3*s**5/20 - s**3/2 + 9*s. Give -5*c(z) + 3*m(z). z**3 + z Suppose -4*s - 23 + 3 = 0. Let j(b) = -b**2 + 8*b + 2. Let k(a) = a. What is s*k(i) + j(i)? -i**2 + 3*i + 2 Let p(b) = -8*b + 5. Let x(m) = -m + 1. What is -p(o) + 6*x(o)? 2*o + 1 Let r(o) = 3*o - 34. Let x(n) = 5*n - 67. Calculate -7*r(m) + 4*x(m). -m - 30 Let p(q) = -q. Let c(n) = 100*n. Determine c(d) + 6*p(d). 94*d Let a(g) = g**2 + 5*g - 5. Let w = -113 - -107. Let p(x) = -x**2 - 6*x + 6. Determine w*a(r) - 5*p(r). -r**2 Let f(o) = 8*o**3 + 5*o**2 + o - 6. Let p(k) = 7*k**3 + 4*k**2 + k - 5. Determine 4*f(i) - 5*p(i). -3*i**3 - i + 1 Let l(f) be the first derivative of -f**3/3 - 3*f**2/2 + 3*f + 9. Let n(b) = 3*b**2 + 7*b - 7. Give -7*l(p) - 3*n(p). -2*p**2 Let a(q) = -12 + 7*q - 1 + 18. Let i(r) = -r - 1. Calculate -a(n) - 6*i(n). -n + 1 Let x(k) = -7 + k + 9 - 2. Let m(a) = a + 1. Determine -m(y) + 2*x(y). y - 1 Let w(n) = -n**2 - n. Let p(o) = -6*o**2 - o + 5. Let k(q) = 5*q**2 + q - 4. Let a(d) = 5*k(d) + 4*p(d). Let v be (-11)/((-11)/2) - 4. Give v*a(g) - 3*w(g). g**2 + g Let u(y) = 4*y. Let a(p) be the second derivative of -p**3/3 + 4*p. What is 5*a(x) + 3*u(x)? 2*x Let z(g) = g - 1. Let v(j) = -9*j + 3. Determine -v(p) - 4*z(p). 5*p + 1 Let k(x) = -3*x**2 - 3*x + 3. Let d(n) = n**2 + n. Let y(o) = -9*o**2 - 10*o + 4. Let c(p) = -6*d(p) - y(p). Determine 3*c(u) + 4*k(u). -3*u**2 Let s(q) = -23*q**3 + 8*q**2 - 3*q + 8. Let p(b) = 15*b**3 - 5*b**2 + 2*b - 5. Calculate 8*p(k) + 5*s(k). 5*k**3 + k Let r(m) = -14*m**2 + 10*m - 2. Let c(k) = 29*k**2 - 21*k + 3. Let z(f) = 3*c(f) + 7*r(f). Let q(y) = -5*y**2 + 3*y - 2. Give -7*q(d) + 3*z(d). 2*d**2 - 1 Let i(c) be the first derivative of -c**2/2 - 2*c - 168. Suppose 0*r - 2*r = 0. Let b = r - -2. Let f(t) = t**2 + 5*t + 8. Calculate b*f(x) + 9*i(x). 2*x**2 + x - 2 Let n(v) be the first derivative of 2*v**3/3 + v**2 - 3*v + 13. Let q(d) = -10*d**2 - 11*d + 16. Calculate -11*n(c) - 2*q(c). -2*c**2 + 1 Let c(t) = t**2 + t + 5. Suppose 2*o + 3 = 7. Let l be o + 1 + 0 + -10. Let n(j) = j**2 + j + 6. Give l*c(s) + 6*n(s). -s**2 - s + 1 Let g = -4 + 7. Let w(c) = -1. Let j(i) = -5*i**2 - 5*i - 5. Let a(b) = -j(b) + 4*w(b). Let y(u) = -9*u**2 - 9*u - 2. Determine g*y(s) + 5*a(s). -2*s**2 - 2*s - 1 Let v(z) = -2*z + 3. Let w(n) = n - 1. Give 5*v(t) + 15*w(t). 5*t Let r(x) = x. Let n(q) = 6*q. Determine -3*n(h) + 16*r(h). -2*h Let h be 6/(-9)*(-33)/2. Let a(t) = 2*t**3 + t**2 + 2*t + 6. Let z = -123 - -117. Let l(j) = 4*j**3 + 0*j**3 + 4*j + 6 + 5 + 2*j**2. Determine h*a(n) + z*l(n). -2*n**3 - n**2 - 2*n Let y(p) = -9*p - 8. Suppose -a + 4*d = -0*d - 23, d + 11 = 2*a. Let u(z) = -3*z - 3. What is a*y(n) - 8*u(n)? -3*n Let i(b) = 13*b**2 - 7*b + 7. Let c(o) = o**2 + 1. Let y(t) = 2*t**2 + 2*t + 4. Let l(j) = -6*c(j) + y(j). Calculate -2*i(h) - 7*l(h). 2*h**2 Let q(u) = 13*u - 2*u - u**2 - 5 - u. Let v = 6 + 3. Let x be q(v). Let z(i) = -2*i**2 + 5*i - 6. Let m(o) = 3*o**2 - 6*o + 7. Determine x*m(k) + 5*z(k). 2*k**2 + k - 2 Let q be ((-2)/(-6))/((-2)/(-18)). Let h(c) = -2*c**3 - 3*c**2 - 2*c - 3. Let i(u) = -2*u**3 - 2 - 2*u**2 - 42*u + 0*u**2 + 40*u. Determine q*i(f) - 2*h(f). -2*f**3 - 2*f Let o(n) = -9*n**2. Let i(c) = -46*c**2. What is 2*i(y) - 11*o(y)? 7*y**2 Let n(m) = 20*m + 25. Suppose o = -7*o + 200. Let x(a) = -a - 1. Calculate o*x(i) + n(i). -5*i Let w(r) = -5*r - 9. Let s(o) = -11*o - 19. Calculate -6*s(h) + 13*w(h). h - 3 Let g(y) = -y**3 - 5*y**2 - 3*y + 6. Let d be g(-3). Let m(f) = 2*f**3 - 3*f**2 + 3*f. Let l(t) = 6*t**3 - 10*t**2 + 10*t. Determine d*l(q) + 10*m(q). 2*q**3 Let u(b) = 5*b**2 + 2. Let d(z) = -z**3 + z**2. Determine -5*d(c) + u(c). 5*c**3 + 2 Let v(b) = 6*b. Let s(y) = 7*y. Suppose -z - 2*p + 4 = -3, -z = 4*p - 9. Give z*s(x) - 6*v(x). -x Let i be (-2)/(-8) + (-2)/24. Let s(b) be the second derivative of -3*b**2 + b + 0 - i*b**3. Let k(g) = -g - 5. Give 7*k(c) - 6*s(c). -c + 1 Let s(h) = 34*h. Let b(n) = -817*n. Determine -4*b(d) - 95*s(d). 38*d Let k(y) = 17*y - 1 + 15*y - 31*y + y**3. Let t(d) = -4*d**3 + 2*d**2 - 3*d + 5. Give 3*k(v) + t(v). -v**3 + 2*v**2 + 2 Let s(p) = -p. Let b(z) = z - 9. What is -b(j) + s(j)? -2*j + 9 Let r(v) = -9*v**3 + 13*v**2. Let l(t) be the first derivative of -t**4 + 2*t**3 + 169. Let c be (0 - 1)/(2/26). Determine c*l(h) + 6*r(h). -2*h**3 Let z be (1/(-4)*-2)/(2/(-24)). Let g(t) = -4*t**3 + 3*t - 3. Let d(o) = -o**3 + o - 1. Determine z*d(r) + 2*g(r). -2*r**3 Let c(u) = -u**2 + u. Suppose -2*o + 5 = 3*s, -3*o + 3*s + 1 = s. Let b(k) be the first derivative of -8*k**3/3 + 5*k**2 + 2*k + 9. Calculate o*b(t) - 10*c(t). 2*t**2 + 2 Suppose 10*c - 3*c = -77. Let m(b) = 2*b - 5. Let p(i) = 10*i - 26. What is c*m(r) + 2*p(r)? -2*r + 3 Let x = 3 + -1. Let k(m) = 10 + m**x - 17 + 3*m**2. Let b(h) = 2*h**2 - 3. Determine -9*b(i) + 4*k(i). -2*i**2 - 1 Let q(f) be the third derivative of f**4/6 - 5*f**3/6 - 3*f**2. Let k(g) = 3*g**2 - 5*g + 3. Let i be k(2). Let s(p) = -5*p + 6. What is i*s(y) + 6*q(y)? -y Let m(l) = 6*l**3 + 10*l**2 - 6*l - 4. Let j(k) = 7*k**3 + 9*k**2 - 7*k - 5. Give -5*j(z) + 6*m(z). z**3 + 15*z**2 - z + 1 Let p(a) be the first derivative of -a**3 - 3*a**2/2 - a + 15. Let z(w) = 9*w**2 + 8*w + 2. What is -8*p(b) - 3*z(b)? -3*b**2 + 2 Let o(g) = 2*g**3 - 11*g**2 - 5*g - 5. Let u(r) be the third derivative of r**6/40 - 4*r**5/15 - 7*r**4/24 - 7*r**3/6 - 33*r**2. What is -7*o(l) + 5*u(l)? l**3 - 3*l**2 Suppose -5*r + 3*n - 31 = 0, 0 = r + n - 1 + 4. Let d(s) = 3*s**2 + 4. Let b(j) = -4*j**2 - 5. What is r*d(h) - 4*b(h)? h**2 Let i(v) = -16*v - 6. Let c(q) = 5*q + 2. Suppose 0 = 37*g - 31*g - 12. Calculate g*i(o) + 7*c(o). 3*o + 2 Let d(t) = -23*t**3 + 3*t**2 - 17*t. Let n(k) = 8*k**3 - k**2 + 6*k. Let z(a) = a**2 + 4*a + 5. Let h be z(-6). Give h*n(s) + 6*d(s). -2*s**3 + s**2 Let k(h) = -83*h + 2. Let p(l) = 125*l - 3. Give -8*k(n) - 5*p(n). 39*n - 1 Let b(u) = 2*u**3 + 5*u**2 + 3. Let g(m) = m**2 + 1. Let o(f) = 0*f - 14 - 7 - f**2 + 6 + 8*f. Let t be o(6). What is t*g(y) + b(y)? 2*y**3 + 2*y**2 Let j(v) = 3*v - 17. Let b(p) = -4*p + 18. Determine -5*b(d) - 6*j(d). 2*d + 12 Let b(o) = o**2 - 9. Let y(d) = -d**2 + 10. Calculate -2*b(m) - 3*y(m). m**2 - 12 Let p(g) = -4*g**2 - 2*g. Let b(a) = a**2. Let v(i) = -i + 10. Let t be v(13). Determine t*b(l) - p(l). l**2 + 2*l Let p(n) = 7*n + 1. Let r(y) = 22*y + 4. Give -7*p(m) + 2*r(m). -5*m + 1 Suppose -1 = y - 15. Let l(z) = z**3 - 3*z**2 + 3. Let p(c) = 7*c**2 + 0*c**3 - 4*c**3 + 5*c**2 - 14 + 2*c**2. Determine y*l(b) + 3*p(b). 2*b**3 Let b(l) = 4*l**2 - 5*l + 1. Let u(w) = -w**2 + w - 1. What is b(h) + 6*u(h)? -2*h**2 + h - 5 Let s(k) = 3*k + 4 - 3*k + 3*k**2 + 3*k + k**3. Let n(r) = -r**3 - 5*r**2 - 5*r - 7. Let t = 12 - 15. Calculate t*n(i) - 5*s(i). -2*i**3 + 1 Suppose 0 = 5*g - 3*g + 2*b - 40, -4*g = 3*b - 82. Let t(k) = 10*k**3 - 13*k**2 + 11*k + 11. Let y(s) = s**3 - s**2 + s + 1. What is g*y(c) - 2*t(c)? 2*c**3 + 4*c**2 Let h(s) = -s**3 + 6*s**2 + 3*s - 8. Let g(f) = -f**3 + f**2 - f. Let x(w) = 6*g(w) - h(w). Let l(i) = -i**3 - 2*i + 2. Calculate 9*l(j) - 2*x(j). j**3 + 2 Let i be (-8)/44 + 72/33. Let w(n) = n**2 - 2*n + 2. Let o(d) = -3*d + 3. Suppose 2*q - 14 = 2*p, -3*p = 2*q + 3 - 2. Calculate i*o(f) + p*w(f). -3*f**2 Let v(o) = o**3 + o**2 + 3*o + 6. Let t(i) = -2*i**3 - i**2 - 5*i - 13. What is -3*t(r) - 5*v(r)? r**3 - 2*r**2 + 9 Let k(d) = 140*d - 5. Let q(l) = -70*l + 3. Determine 3*k(y) + 5*q(y). 70*y Let i(k) = -6*k + 3*k**2 + 3*k**2 - 14 + 0*k. Let d(x) = 2*x - 1. Let o be d(-5). Let c(p) = -4*p + 5 + 2*p - 2*p**2 + 4*p.
{ "pile_set_name": "DM Mathematics" }
7*-279478 38288.486 98 times -0.5815 -56.987 Work out 26035866 * -2. -52071732 Calculate -1675674*-7.08. 11863771.92 What is -308667 times 0.1141? -35218.9047 Calculate -1*17931210. -17931210 Product of 1060533 and -0.4. -424213.2 Calculate -0.01*125850870. -1258508.7 Multiply 7051399 and -5. -35256995 Product of 0.078899 and 1924. 151.801676 Product of -5 and 35522892. -177614460 -164277499 * -3 492832497 -23130885 times -1.2 27757062 Multiply 3444 and -80.4. -276897.6 -0.096329791*0.4 -0.0385319164 Product of -1 and -1791.0852. 1791.0852 Calculate -116.2*-0.07396. 8.594152 What is 0.037 times -1.18997? -0.04402889 What is 0.0601 times 7294.1? 438.37541 1.891115 times 3.1 5.8624565 -33*620968 -20491944 761335*-0.4 -304534 Calculate 2451*-36814. -90231114 Multiply 29081.47 and 141. 4100487.27 98.0189*-0.3 -29.40567 Work out -134 * 258034. -34576556 173123 times 0.374 64748.002 -136*15.4444 -2100.4384 -96611 * -121 11689931 Calculate -0.0512*-0.0703. 0.00359936 7.4 times 0.531913 3.9361562 Multiply 10073 and 20593. 207433289 916.85*-4473 -4101070.05 What is the product of -0.3593379 and 0.2? -0.07186758 -1.665 times -27 44.955 -221 * 88.393 -19534.853 What is the product of 13 and -25208559? -327711267 Product of 0.055482 and -0.969. -0.053762058 0.4 * 37.770678 15.1082712 Work out 0.824 * -585745. -482653.88 Multiply -1484 and -9591. 14233044 What is the product of -2 and 1066181? -2132362 -13.389625 times 0.5 -6.6948125 What is the product of -0.6 and -4.066256? 2.4397536 Product of 1606.15 and -2. -3212.3 What is -6009 times -0.71285? 4283.51565 Work out -2107 * 19170. -40391190 Product of 0.11 and -3728306. -410113.66 Product of -194.581 and -0.28. 54.48268 -51 * -1226.74 62563.74 What is 504.92 times 0.91? 459.4772 -0.2 * -5625059 1125011.8 -14324.638 times 0.06 -859.47828 -2.3 times -87640 201572 0.025*-2719.29 -67.98225 Product of -3685 and -168978. 622683930 -0.4650418*-1.48 0.688261864 What is the product of -0.07 and -5711841? 399828.87 -8284.873*-17 140842.841 -0.13 * -12.28133 1.5965729 Calculate 2*30419.027. 60838.054 Multiply -0.020958 and 78. -1.634724 9477.1 times -1.985 -18812.0435 -12280 * -0.192 2357.76 687046703 * -1 -687046703 Work out 20 * -4.5153. -90.306 -1.001373 times 1.98 -1.98271854 Multiply 7034.7 and 1. 7034.7 Product of -3960.4 and -0.19. 752.476 -0.2*2251.9221 -450.38442 Product of 6.368934 and -17. -108.271878 -4 * 39750.44 -159001.76 Product of -0.0222141 and -1.77. 0.039318957 0.26979*925 249.55575 Calculate -2403.19*0.52. -1249.6588 -4425147 * -2 8850294 0.4*-2815118 -1126047.2 1.813615372*2 3.627230744 What is the product of -14213047.34 and -1? 14213047.34 123067.18 times -2 -246134.36 Multiply 0.087 and 82599. 7186.113 What is -23.216 times 7.1? -164.8336 -0.0546 times -17976 981.4896 -0.3 * -4390024 1317007.2 Work out 7.95396 * -1. -7.95396 Calculate -5345*-96.4. 515258 -188 * -544813 102424844 -0.3 * 83409.31 -25022.793 Calculate 10364*-1802.4. -18680073.6 -5 * 1.315582 -6.57791 Multiply -296 and 651092. -192723232 Calculate -258481*-0.2068. 53453.8708 Product of -15384 and -146.37. 2251756.08 Product of 3992.798 and 0.5. 1996.399 What is the product of 0.11285 and -2414? -272.4199 -1.47324 times 1972 -2905.22928 Calculate 494881.6*0. 0 Multiply -6.798 and -0.99534. 6.76632132 -2.184 * -21575 47119.8 Product of -33 and 9.155382. -302.127606 What is -103724.22 times 0.1? -10372.422 7085.2256*0.1 708.52256 -0.2*2.24246 -0.448492 Work out -0.173197 * -2.11. 0.36544567 -0.9*708.69307 -637.823763 0.156005 times 0.06 0.0093603 Work out -75421091 * 9. -678789819 What is 2 times 66790900? 133581800 Calculate -123668*-0.6148. 76031.0864 Multiply 0 and -1214835.61. 0 Product of -2897068861 and 0. 0 2*-438709.6 -877419.2 Work out -0.5 * 11904895. -5952447.5 825887020 * -0.2 -165177404 Multiply -243 and 51781. -12582783 Calculate 0.2*134.80596. 26.961192 What is -122187 times -91? 11119017 -0.000878583 times 0.1 -0.0000878583 What is the product of -0.062 and -383296? 23764.352 Multiply 0.5347315 and -0.146. -0.078070799 Product of 0 and 66354486. 0 Multiply 61563.1 and -0.05. -3078.155 What is 0.05 times 5434.868? 271.7434 What is the product of 154.4037 and -3? -463.2111 -118.979 times 23 -2736.517 Calculate -6727*69.49. -467459.23 Product of 34.9314 and 0.242. 8.4533988 -0.872054 * 0.8 -0.6976432 0.6733*91.6 61.67428 3376324 * -1 -3376324 Product of 7031 and -3132. -22021092 Multiply 17222 and 663. 11418186 Multiply 0.5 and 417.1889. 208.59445 18*176.9873 3185.7714 Product of -1492 and 6199. -9248908 -7029.6 times 46.53 -327087.288 What is -0.3 times 8018868? -2405660.4 -1066*3987 -4250142 What is -30151 times -820? 24723820 What is -4575456.6 times 0? 0 0.193 * -0.018206 -0.003513758 11 times -0.29984523 -3.29829753 Product of -0.0029884978 and -0.2. 0.00059769956 Multiply 218 and 7924. 1727432 What is the product of -35138 and -0.05024? 1765.33312 What is the product of 8818326 and 0.2? 1763665.2 133297 times 7 933079 What is the product of -10102314 and 1? -10102314 Work out -0.2887926 * 149. -43.0300974 What is the product of 0.83 and 2185702? 1814132.66 Calculate 47676.02*170. 8104923.4 -0.13 times 1961567 -255003.71 Multiply -82111 and -931. 76445341 Work out -2951588 * -5. 14757940 What is the product of 4047.657 and 0.5? 2023.8285 Multiply -5308 and 15.34. -81424.72 157748*0.536 84552.928 0.6 times 59967613 35980567.8 339728082 times -0.4 -135891232.8 What is 0.5 times -0.031338238? -0.015669119 What is the product of 195050 and 7.34? 1431667 1 times -3377044 -3377044 -1702485 * -0.06 102149.1 4235.9*-14128 -59844795.2 Product of -2.5 and 4299291. -10748227.5 Product of 3675176 and -2. -7350352 Product of 3519 and -881. -3100239 What is 859601 times 226? 194269826 Calculate -63504.9*10. -635049 Work out -2064 * 0.197388. -407.408832 Product of -4141088 and 0.3. -1242326.4 What is -5 times 11225.86? -56129.3 -0.2 * -49.60998 9.921996 74 * -0.1984893 -14.6882082 What is the product of 279 and 1007733? 281157507 Multiply 0.046092 and 987. 45.492804 Product of -243 and -0.7588. 184.3884 What is 42074 times 3.7? 155673.8 Calculate -3.609*1735.96. -6265.07964 -331.28951*-18 5963.21118 Multiply -9 and -199679. 1797111 Product of -39860 and -11.5. 458390 Multiply -143191900 and -0.1. 14319190 Work out -1.4 * -1470315. 2058441 Multiply -3021 and -75.2. 227179.2 Work out -0.045592 * 0.0826. -0.0037658992 -76 times 75686 -5752136 -195.7 times 67386 -13187440.2 What is 8679 times 1291.5? 11208928.5 What is the product of 335609 and -0.1? -33560.9 Calculate -2616*-98950. 258853200 Calculate -0.1*-6512133. 651213.3 3 times 7506527 22519581 9093 * 1025 9320325 Calculate -0.3*-2834937.3. 850481.19 8135509*-0.3 -2440652.7 Calculate 9*215403.6. 1938632.4 -0.49842*19.62 -9.7790004 -78454763*-4 313819052 What is 3974 times -174? -691476 Work out 447227.2 * 4. 1788908.8 2 * -122561.007 -245122.014 What is the product of -74323672 and -2? 148647344 Calculate -0.0233*-41.2193. 0.96040969 Multiply -0.3 and -33.1968441. 9.95905323 What is -1.059784 times -21.04? 22.29785536 Calculate -1.1*245614. -270175.4 Multiply -0.078 and 2308. -180.024 0.1 times -907485 -90748.5 -1589406.3 * -2 3178812.6 Calculate -14476120*2. -28952240 Multiply -5851850 and -1. 5851850 -12 times 128.8878 -1546.6536 Multiply -24625199 and -0.4. 9850079.6 Work out -1009740 * -0.025. 25243.5 Multiply 0.2 and 181454664. 36290932.8 What is the product of 264761 and -82? -21710402 Work out -2.7344 * 0.2442. -0.66774048 What is 25306556 times -3? -75919668 1.582 times -1742 -2755.844 Work out -0.1 * -1694181.72. 169418.172 Product of -189.087 and -6. 1134.522 485664*0.048 23311.872 Product of -0.276538 and -459. 126.930942 -0.7124 * -6068 4322.8432 Product of 83287 and 48.4. 4031090.8 Calculate 0.68*1.34429. 0.9141172 -3 * 1.3050977 -3.9152931 Calculate -7.8*26.6315. -207.7257 Multiply 93.02 and 3334. 310128.68 Calculate -235197*-38.6. 9078604.2 Multiply -4964.42 and 2. -9928.84 1.63623066 times -4 -6.54492264 Product of -3303995 and -0.3. 991198.5 Work out -0.6 * 160316.8. -96190.08 What is the product of -0.59592 and -0.15? 0.089388 Product of 3243.3 and 72. 233517.6 -0.4*143328.591 -57331.4364 What is the product of 102754 and 1? 102754 Calculate -4287080*
{ "pile_set_name": "DM Mathematics" }
te -124*d**3*o - d**2*o**2 - 4*d - 2033*o**2 with respect to d. -372*d**2*o - 2*d*o**2 - 4 Find the second derivative of 326*x**5 + 206*x. 6520*x**3 Differentiate 26*c*m + c + d*m + 105*d with respect to m. 26*c + d What is the second derivative of 11*g**5*u**2 + 51*g**5 - 352*g*u**2 + g*u wrt g? 220*g**3*u**2 + 1020*g**3 Find the third derivative of -366*g**4*i + g**3*i - g**2*i - 81*g*i - i wrt g. -8784*g*i + 6*i Differentiate 4*k*p**2*x + 305*k*x + 140*p**2*x + 2*p**2 - 2*p*x - 1 with respect to k. 4*p**2*x + 305*x Find the third derivative of 99*c**2*w**3 + 2*c**2*w**2 - c**2 + 2*c*w**4 - 33*w**5 + 1475*w**2 + w wrt w. 594*c**2 + 48*c*w - 1980*w**2 Find the third derivative of 42*d**5*n - 8*d**3*n - d**3 - 7*d**2*n + 637*d*n wrt d. 2520*d**2*n - 48*n - 6 Find the second derivative of 82*o**2 - 156*o - 1. 164 Differentiate 14*c**3*d - 2*c**3*n - c**3 - 2*c*n - 2*d*n with respect to d. 14*c**3 - 2*n What is the third derivative of 33*b**3 + 4*b**2 - 8*b wrt b? 198 What is the first derivative of -880*b + 593? -880 Differentiate -15972*l + 6221 wrt l. -15972 What is the third derivative of -4*c*g**3 + 2*c - 17*g**5 + 13*g**3 - g**2 - 1043 wrt g? -24*c - 1020*g**2 + 78 What is the third derivative of 5*w**4*y**2 - 6*w**4*y - 2*w**3*y**3 - 2*w**2 + 32*w*y**3 - 2 wrt w? 120*w*y**2 - 144*w*y - 12*y**3 Differentiate 387*a**3*t - 673*a**3 wrt t. 387*a**3 What is the first derivative of 7*x*y**3*z + 28*x*y**2*z + x*y*z**2 + 17*y**3*z**2 + 4*y**3*z + 2*y*z**2 - 2 wrt x? 7*y**3*z + 28*y**2*z + y*z**2 What is the second derivative of 2*d**3*y**2 + 7*d**3 - 4*y**3 - 10*y wrt y? 4*d**3 - 24*y Find the first derivative of 126*m**3*s**2 + 8*m*s**3 + 1191*s**3 - 2*s wrt m. 378*m**2*s**2 + 8*s**3 Find the third derivative of 2*p*y**3 + 344*p*y**2 - 2*p + 185*y**3 wrt y. 12*p + 1110 What is the third derivative of -75*z**3 - 126*z**2? -450 Differentiate 5*d**2*x - 22*d**2 - 3*d*x**2 - 1102*x**2 wrt d. 10*d*x - 44*d - 3*x**2 What is the second derivative of 166*g*r**4 + 2*g*r**3 + 455*g*r wrt r? 1992*g*r**2 + 12*g*r What is the second derivative of 3*g**4 + 23*g**3 - g + 148? 36*g**2 + 138*g Differentiate -l**3*t + 2967*l**3 - 49*l*t**4 wrt t. -l**3 - 196*l*t**3 What is the second derivative of -2*m**5 - 67*m**4*z**2 + 10*m*z**2 - m*z wrt m? -40*m**3 - 804*m**2*z**2 Find the first derivative of -4725*d + 10408 wrt d. -4725 What is the second derivative of -2*m**2*t**3 - 236*m**2*t**2 - 16*m**2 + 2*m*t + o*t**3 - 5*o wrt t? -12*m**2*t - 472*m**2 + 6*o*t Find the second derivative of -5*o**3 - 15*o**2 - 94*o + 2 wrt o. -30*o - 30 What is the first derivative of -1699*c**2 + 4189 wrt c? -3398*c Differentiate -2*a*g**4 + 2490*a*g**2 + 699*a wrt g. -8*a*g**3 + 4980*a*g What is the second derivative of 1141*g**2*r**2 - 82*g**2*r - g*r - 4*r wrt r? 2282*g**2 Find the first derivative of -3*b*j**4 - 509*b*j**3 - 3095*b wrt j. -12*b*j**3 - 1527*b*j**2 Find the third derivative of -1279*x**6 + 1051*x**2 + 1 wrt x. -153480*x**3 Differentiate 2*a*q**3 + 2*a*q**2 + 167*a*q - 2030*a with respect to q. 6*a*q**2 + 4*a*q + 167*a What is the derivative of -f*w**4 + 2*f - 343*m*w**2 + 1018*m + 3*w**4 wrt w? -4*f*w**3 - 686*m*w + 12*w**3 What is the third derivative of -190*d**4*i**3 - 11*d**3*i**2*j - d**2*i**3*j + 73*d*i**3*j + d*i**2*j - 15*j wrt d? -4560*d*i**3 - 66*i**2*j What is the third derivative of 2*f**5 - 588*f**3 + 85*f**2 + 2 wrt f? 120*f**2 - 3528 Find the second derivative of -2*d**5*n**3 - 8*d**2*n**2 - 5*d*n + 2*n**3 + 5*n**2 wrt d. -40*d**3*n**3 - 16*n**2 What is the second derivative of -71*a**2*t**2 + a**2*t*v**2 - 42*a**2*t - 6*a*t**2*v**2 + 3*a*t**2*v - t*v**2 + t wrt t? -142*a**2 - 12*a*v**2 + 6*a*v Differentiate 6*i**2*s**3 + 44*i**2*s - 103*i**2 + 1 wrt s. 18*i**2*s**2 + 44*i**2 What is the second derivative of -2*f**2*k**2 - 444*f**2*k*x**3 - f**2*k - 5*f*k**2*x**2 + 21*f*k - 2*f*x**3 wrt f? -4*k**2 - 888*k*x**3 - 2*k Find the second derivative of 2794*t**5 + 999*t wrt t. 55880*t**3 Find the first derivative of -15*l**3*t*u**2 - 19*l**3*t + l**3*u - l**3 - 2*l*t*u**2 - 62*l*t wrt u. -30*l**3*t*u + l**3 - 4*l*t*u What is the third derivative of -145*n**3 + 13*n**2 + 78? -870 What is the derivative of -104*x**4 - 24*x**2 + 4524? -416*x**3 - 48*x What is the second derivative of -1749*g**2 + 18*g + 24 wrt g? -3498 Find the third derivative of -8*y**4 - 141*y**3 - 2724*y**2 wrt y. -192*y - 846 What is the second derivative of f**2*p**3 - 7*f**2*p**2 + 44*f**2 - 3*f*p**3 - f*p - 2*f wrt p? 6*f**2*p - 14*f**2 - 18*f*p What is the third derivative of 3700*c**6 + c**4 - 20238*c**2? 444000*c**3 + 24*c Find the third derivative of -5*b**3*d**3*r - 30*b**3*r - 7*b**2*d**3*r - b**2*d + 36*b*d**3 - 2*d**2*r wrt b. -30*d**3*r - 180*r Find the second derivative of -617*r**2*u**2 - r**2*u - 21*r*u - 2*u**2 - 2*u wrt u. -1234*r**2 - 4 Find the first derivative of 36*d**3*l*v - 49*d**3 + 3*d**2*v + 3*d*l*v wrt l. 36*d**3*v + 3*d*v What is the first derivative of -4*c*d**2 + 59*c*j - 2*d**2*j - 3*d**2 - 3 wrt j? 59*c - 2*d**2 Find the third derivative of c*f*g**3 - 31*c*g**3 - 3*c*g**2 - 2*f*g**2 + 3*f wrt g. 6*c*f - 186*c Find the second derivative of 34*j*n**2*z - j*n**2 + 15*j*n*z - j*z**3 + 4*n**2*z**3 + n*z - 4*z wrt n. 68*j*z - 2*j + 8*z**3 What is the second derivative of -19*o**3 + 2*o**2 + 437*o - 2 wrt o? -114*o + 4 Differentiate 858*q**3*t + 1290*t wrt q. 2574*q**2*t What is the derivative of -22*h**2 - 4*h + 393 wrt h? -44*h - 4 What is the second derivative of 286*o**3*t**2*z**2 + o**3*z + 4*o**2*t**2*z - o**2*z - 2*t**2*z**2 wrt z? 572*o**3*t**2 - 4*t**2 What is the second derivative of -4281*g**4 - 126*g + 5 wrt g? -51372*g**2 Differentiate j**3*o**3 - 74*j**3*o + 2*j**3 - 155*j**2 with respect to o. 3*j**3*o**2 - 74*j**3 Find the first derivative of -18*j**3*p + 14*j**2*p**3 + 2*p**3 + 10 wrt j. -54*j**2*p + 28*j*p**3 Find the third derivative of 1741*x**5 - 2*x**3 + 2132*x**2. 104460*x**2 - 12 What is the second derivative of -73*m**4 + 8*m - 8? -876*m**2 Differentiate 838*t**4*y**2 + 4*t**4 - 81*y**2 - 2*y with respect to t. 3352*t**3*y**2 + 16*t**3 What is the derivative of -b**3*i*n + b**3*n**2*q - 112*b**3*n**2 - 5*b*i*n*q + b*q + 71*i*n**2*q wrt i? -b**3*n - 5*b*n*q + 71*n**2*q Find the second derivative of 6*d**4*h**3 - 8*d**3*h**3 - d*h**2 - 7*d + 2*h**3 wrt d. 72*d**2*h**3 - 48*d*h**3 What is the derivative of 382*u**4 + 79? 1528*u**3 Find the third derivative of -3060*i**3 + 7*i**2 + 290*i. -18360 Find the third derivative of 7*k**6 + 3*k**3*t - 2*k**3 + k**2*t - k*t + 21*t wrt k. 840*k**3 + 18*t - 12 Find the third derivative of 170*f**4 - 6*f**3 + 4189*f**2. 4080*f - 36 Differentiate -2*f**2*u + 738*f**2 + 185*u with respect to u. -2*f**2 + 185 What is the third derivative of -333*h**3*k**2 - 185*h**2*k + 3*h*k**2 wrt h? -1998*k**2 What is the third derivative of -200*i**2*j**4 + 2*i**2*j**3 - 2*i**2*j**2 - 50*i**2 wrt j? -4800*i**2*j + 12*i**2 What is the second derivative of 159*q**4*u**2 + 2*q**3*u**2 - q**2 + 127*q*u**2 - 2*u**2 wrt q? 1908*q**2*u**2 + 12*q*u**2 - 2 Find the second derivative of 95*c**2*n**2 - 5*c*n**2 + 4*c*n + c wrt c. 190*n**2 Find the third derivative of 8404*r**3 + 5*r**2 + 279. 50424 What is the derivative of -175*l**3*q + l**3 + l*q + 428*q wrt l? -525*l**2*q + 3*l**2 + q What is the first derivative of -356*h**2 - 131 wrt h? -712*h Find the third derivative of f*m**4 - 54*f*m**3 - f*m**2 + 134*f + m**4 + 2*m**2 wrt m. 24*f*m - 324*f + 24*m Find the third derivative of h**3*r**3 + 620*h**3 + 100*h**2*r**3 - 5*h**2*r**2 wrt h. 6*r**3 + 3720 What is the third derivative of 19*h**6*v**2 + 12*h**6 - 4*h**2*v**2 + v wrt h? 2280*h**3*v**2 + 1440*h**3 Find the second derivative of -234*w**5 + 439*w - 1 wrt w. -4680*w**3 What is the second derivative of 5*u**3 - 35*u**2 + 2*u - 6 wrt u? 30*u - 70 What is the derivative of -43*k*q**3*x + k*q**3 - 13*q**3 - 3*q**2*x wrt k? -43*q**3*x + q**3 Find the second derivative of -334*j*r**4 + 3*j + 68*r wrt r. -4008*j*r**2 What is the second derivative of 91*a**2*h - 4*a**2 - 11*a*h + 11*a + 9*h wrt a? 182*h - 8 What is the third derivative of 945*o**3*v**2 + 21*o**2*v - 3*o*v - 3*v**2 wrt o? 5670*v**2 What is the third derivative of -1083*s**3 + 620*s**2? -6498 Find the second de
{ "pile_set_name": "DM Mathematics" }
- 2 - d*r + c. Calculate w(5). 13 Let f(a) = -a**3 - 4*a**2 - 2. Let u be (30/54*-6)/(4/(-18)). Suppose -5*d + 4*o = 20, 2*d + u = 2*o + 7. Calculate f(d). -2 Let n = -6670 - -6677. Let k(r) = 14*r - 8. Let x(f) = 5*f - 3. Let y(t) = 6*k(t) - 17*x(t). Determine y(n). -4 Let o = -14 + 16. Let i(j) = j**3 - 1. Let w(q) = -6*q**3 + 2*q**2 - q + 5. Let p(n) = -5*i(n) - w(n). Calculate p(o). 2 Let i(r) = r**3 - 2*r**2 - 2*r - 3. Let p be (20/6)/((-2)/(-3)). Suppose 8*a = p*a + 6. Let y be (-1)/((-2)/(a + 4)). Give i(y). 0 Let i = -89 - -81. Let p(v) = 20*v + 11. Let d(u) = 7*u + 4. Let c(g) = -17*d(g) + 6*p(g). Let j(n) = 3*n - 5. Let y(z) = i*c(z) + 3*j(z). Give y(4). 5 Suppose 4*b - 25 = -5*p, 3*b + 2*p - 27 = -2*b. Let y(g) = -g**3 + 5*g**2 + g - 3. Give y(b). 2 Suppose -r - 8 = -3*r. Let d(y) = -y. Let o(b) = -3*b + 2. Let k(m) = r*d(m) - o(m). What is k(0)? -2 Suppose 28 = -5*x - 47. Let d(k) = k**2 + 15*k + 4. Let z be d(x). Let m(u) = -1 - 7*u**2 + 6*u**3 - 7*u**3 - z*u - 2*u. Give m(-6). -1 Suppose -2*j - 4*r = 0, 6*j = 4*j - r + 9. Let x(g) = -4 + 2 + 0 - g**2 + 0*g**2 + 0*g**2 + 8*g. Calculate x(j). 10 Let v(i) = i**3 + 7*i**2 - 7*i - 6. Let l(r) = -3*r**3 - 22*r**2 + 21*r + 17. Let a(p) = 2*l(p) + 7*v(p). Suppose -2*u - 15 = -3. Calculate a(u). -2 Let s be -20*((-4)/(-2) + (-12)/5). Suppose -6*p = -10*p - 2*x - 4, 4*p - 4*x = s. Let i(b) = -b**2 + 8. Calculate i(p). 8 Let v(w) be the first derivative of -7 + 0*w**2 - 8/3*w**3 - w. Determine v(-1). -9 Let r(o) = -5*o - 14. Let y(h) = h**2 - 3*h + 1. Let m(d) = r(d) - y(d). What is m(-6)? -39 Suppose 5*s + 18 = d, -5*s - 14 = d - 2. Let x(c) = -c**2 + 10*c**3 - 2*c - 6*c**3 - 3*c**d. What is x(2)? 0 Suppose 13*m - 9*m + 5*f = -21, 3*f = -5*m - 10. Let n(d) be the first derivative of m - 2*d + 3/2*d**2. Calculate n(-3). -11 Let b be 1/(-4) - 1845/492. Let h(w) = w**3 + 5*w**2 + w - 5. Give h(b). 7 Let r(o) be the third derivative of -o**6/120 - o**5/60 + o**3/3 - 36*o**2. Let a = -5 + 8. Suppose 2*v = -a*v. Give r(v). 2 Suppose a - 6 = 2*r - 4, 4*a = 3*r + 13. Let q = 2 + r. Let u(f) = q + 3 - 10 - f. Give u(0). -4 Let t(k) = -2*k**2 - 3*k - 1. Let v(i) = 7*i**2 + 27*i + 7. Let n(h) = 4*t(h) + v(h). Give n(14). 17 Let j(l) = -l**2 - l + 4. Let b = 9 + -5. Suppose -s + b*i + 5 = 0, -5*i + i = 0. Suppose s*k = -2*h + 1, 3*h + 2 = k + 12. Give j(h). -8 Let w(h) = -h**3 + 7*h**2 - 4*h - 1. Let a = -105 - -102. Let i be (-8)/(-10) + 41/5 + a. Determine w(i). 11 Let p(m) = m + 2. Suppose 0 = 4*b - 4*l + 96 - 64, 2*b - 3*l = -17. Determine p(b). -5 Let u be 3/2 - 14/(-4). Let n(w) = w - 6 + 6 - 6. Determine n(u). -1 Suppose -9*v + 7*v + 3*u = -25, -5*v + 5*u = -50. Let o(p) = p**2 - 6*p - 2. Determine o(v). -7 Let q be (-3)/21 + 88/28. Let i(t) = 5 - 29*t**2 - 25*t**2 + 60*t**2 + 11*t - 4*t - t**q. Calculate i(7). 5 Let n = -3 + 2. Let l be (0 - n)*(2 + -6). Let k(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/2 - 3*y**2/2 - 2*y. Calculate k(l). 1 Let j(n) = 2*n**2 + 3*n - 1. Let a(x) = x**2 - x - 1. Suppose -14 = -3*k + 4*k. Let h be (-48)/k + (-12)/28. Let v(w) = h*a(w) - j(w). What is v(5)? -7 Let l(z) be the third derivative of z**5/60 - z**4/8 + z**3/3 - 144*z**2. Let f be 4/6 + (-32)/(-6). Give l(f). 20 Let m(c) = -2*c + 2. Let b be -3 + 8 - 27 - (0 - 0). Let h(i) = -9*i + 2. Let a be h(3). Let f = b - a. Give m(f). -4 Let c(l) = 21*l**2 - 7*l + 4. Let s(z) = -22*z**2 + 8*z - 5. Let a(k) = 6*c(k) + 5*s(k). Let j be (9 + (4 - 14))/1. Calculate a(j). 17 Let x(s) = -s**3 + 7*s**2 - 8*s + 4. Suppose 5*g - 3 = 2. Let n be 6/(g/3*3). Determine x(n). -8 Let v(g) = -g**3 - 13*g**2 - 14*g - 29. Suppose 773 = -102*w - 451. Determine v(w). -5 Let q(l) be the second derivative of -10*l + 1/20*l**5 + 0*l**4 - 3/2*l**2 + 0 - 2/3*l**3. Determine q(-2). -3 Let y(w) = -3*w - 3. Suppose 9 = -3*s, 19*s - 15*s = -2*h - 22. Calculate y(h). 12 Let g(w) = w**3 + 2*w**2 + 2*w - 1. Suppose 4*x + 6*s = 2*s, -3*s = -5*x - 16. What is g(x)? -5 Let n(q) = -6*q**3 - 4*q**2 - 4*q - 8. Let y(p) = -5*p**3 - 4*p**2 - 4*p - 7. Let l(z) = 4*n(z) - 5*y(z). Calculate l(-2). 3 Suppose 5*j = 3*z - 428 + 323, -j = 3*z - 87. Let m(d) = -2*d**2 + 60*d + 6. Determine m(z). 6 Let k be -3*(325/(-15))/5. Let f(q) = -2*q**2 - 5 + k - 13 + 3*q + 3*q**2. Determine f(-4). -1 Let w(p) = -2*p - 1. Let d be -2 - (3 + -1 + -5). Let i(u) = -23*u - 5. Let a(j) = d*i(j) - 6*w(j). What is a(3)? -32 Let m(w) = 3*w**2 - 2. Let q(j) = -j - 13. Let u be q(-15). Suppose 4*o = b - 2*b - 13, u*b = 5*o. What is m(o)? 10 Let b(p) be the third derivative of p**6/120 - 3*p**5/20 + 7*p**4/24 + 5*p**3/6 - p**2. Suppose 0 = 45*o - 15*o - 240. Give b(o). -3 Suppose 0 = -0*g + 2*g - 2. Let c(z) = 2*z + 14. Let q be c(-4). Let k(i) = -q*i - 1 + i**3 + 2*i**3 + 7*i. Calculate k(g). 3 Let r be -1 + 3 - (2 - 2). Suppose 5*j = 4*x + 9, -r*x - 3*j = 3*x + 39. Let d(u) = -u**3 - 7*u**2 - 5*u - 2. Determine d(x). -8 Let u(k) = -5*k + 4. Suppose 419*v = 415*v + 32. Give u(v). -36 Suppose -30 = -39*o + 24*o. Let a(z) = 6*z - 6. Let b(l) = -l + 1. Let d(u) = -a(u) - 3*b(u). Give d(o). -3 Let v(j) = 54*j**2 - 9*j - 12. Let z(k) = 19*k**2 - 3*k - 4. Let w(g) = -6*v(g) + 17*z(g). Calculate w(4). 0 Suppose 2*p = 1 + 5. Suppose 5*r + 3*i - 15 = -2*i, 0 = -2*r - 5*i + 9. Let x(z) = -p*z**r + z**3 + z**2 - 6*z**2 - 9 + 3*z + 5*z. Give x(7). -2 Let m(y) = y**2 - 4*y - 3. Let r be m(-2). Let n(v) = -13*v + 11. Let g(p) = -16*p + 13. Let c(l) = 4*g(l) - 5*n(l). Calculate c(r). 6 Let v be 30/(-42) + 3 - (-2)/(-7). Let u(w) = -6*w**2 - 2*w + 3. What is u(v)? -25 Suppose -g - g = 0. Let h(f) = 2*f - f - 2*f + f**2 - f**3 + g*f**2. Let w(q) = 3*q**3 - 5*q**2 + 5*q - 4. Let r(p) = 4*h(p) + w(p). What is r(0)? -4 Let h(a) = -a**3 - 7*a**2 - 6*a - 6. Suppose -3*t - z = -6*t - 3, -t + 3 = z. Suppose -1 = -4*k + 5*u, 4*k + t*u + u = -29. Give h(k). -6 Suppose 3*o = -4*o + 35. Suppose 2*w - 3 = -o*j - 16, 5*w = -j - 21. Let u(n) = -5*n - 1. Calculate u(j). 4 Suppose 27*v + 4 = 28*v. Let m(j) be the third derivative of 0*j - 5/24*j**v - 1/60*j**5 + 4*j**2 + 0 - 2/3*j**3. Determine m(-4). 0 Let c = -7 + 9. Let t(i) = -4*i**2 + 6*i - 2 + c*i**2 - 3*i - i**3. Determine t(2). -12 Suppose 0 = -5*h - 0*h - 4*j - 3, 2*h = 3*j + 8. Let r(w) = 10*w**2. Give r(h). 10 Let d(o) = -o**3 + o**2 + o - 2. Suppose -5*j = -2*j - 3. Let y be d(j). Let c(p) = -7*p**3 - 1. Calculate c(y). 6 Let r(o) = 3*o + 1. Let i(z) = 3*z + 0*z - 6 + 6. Let w(s) = 3*i(s) - 2*r(s). Calculate w(-4). -14 Let d = 62 + -34. Suppose 4*x + d = 8. Let b(i) = -i**2 - 4*i - 6. Determine b(x). -11 Let w(v) be the first derivative of -v**3/3 - 5*v**2/2 - 2*v + 257. Give w(-3). 4 Let f(o) = 2*o**2 - 8*o + 11. Let z = 2921 - 2917. What is f(z)? 11 Let c(g) = g**2 - 7*g - 8. Let j be 7/21 + 100/6. Suppose -z - 3*a = -j, 5*a - 2*a + 31 = 5*z. Give c(z). 0 Suppose v + 2*p + 7 = -2*v, -10 = 2*p. Let z(g) = -4*g + v - 3 + 6. Let l = 4 + -1. What is z(l)? -8 Let v(s) be the second derivative of s**5/20 - 2*s**4/3 - s**3/6 - 4*s**2 + 3*s. Let q(n) = -n**2 - n. Let j(y) = 2*q(y) - v(y). Determine j(6). 2 Let y(r) be the third derivative of -r**4/12 - 25*r**3/6 + 53*r**2. What is y(-11)? -3 Let u(p) = 2*p**2 + 10*p + 13. Let o(t) = -t**2 - 5*t - 7. Let h = 3 - 0. Let j(i) = h*u(i) + 5*o(i). Let a(r) = 26*r - 57. Let q be a(2). Determine j(q). 4 Let q(b) be the third derivative of b**6/120 - b**5/30 - 5*b**4/24 + b**3/2 + 69*b**2 + 2*b. Give q(3). -3 Let k(w) = 2*w + 3. Suppose 2*y - 124 = 3*d, -d - 3*y = 2*y + 13. Let f = 32 + d. Give k(f). -9 Let b(y) be the second derivative of y**4/12 + 4*y**3/3 + 4*y**2 + y. Let f(u) = 2*u**3 + 11*u**2 - 36*u + 26. Let h be f(-8). Calculate b(h). -4 Let u(y) = 8 + 77*y**2 + y**3 - 26*y + 15*y - 82*y**2. Calculate u(7). 29 Let z be (4/10)/(2/(-20)). Let c(w) = 6*w - 124. Let r(u) = -4*u + 88. Let g(q) = -5*c(q) - 7*r(q). What is g(z)? 12 Let l(q) = -3*q - 8. Let z(t) = -t**2 - t + 6. Let d be z(2). Give l(d). -8 Let z(h) = h + 6. Let u(b) = -b**2 + 8*b. Suppose 0 = 5*r - 0*r + 40. Let v(o) = -o. Let a be v(r). Let m be u(a). What is z(m)? 6 Let y(v) = v**2 - v - 1. Let m be y(0). Let s(c) = -1. Let o(a) = -2*a - 2. Suppose 4 = -47*u + 46*u. Let g(b) = m*o(b) + u*s(b). Give g(-4). -2 Let j(m) = -m**3 +
{ "pile_set_name": "DM Mathematics" }
ller: -0.009 or 330669? -0.009 Is -11003 bigger than -10825? False Which is smaller: -1033/185 or -5/3? -1033/185 Which is greater: 208/7 or -2287009? 208/7 Is 41746713 at least 292226990/7? True Which is greater: 0 or 4/13270501? 4/13270501 Which is smaller: 1754838/13 or 134988? 1754838/13 Is 0 not equal to -12/239259451? True Does 5 = 72644091? False Which is smaller: 0.077314 or 79/19? 0.077314 Is 4/443 not equal to 8/13607? True Which is greater: -0.0589 or 156/25? 156/25 Which is greater: -83206 or 85? 85 Which is greater: 3/4 or 464213? 464213 Are -428 and -216417/505 unequal? True Which is bigger: 3 or 4397773? 4397773 Is 25/985209 smaller than 1? True Do 802.2 and 0.01302 have different values? True Is -5/424 at least -1523? True Which is smaller: -1/692416082 or 1? -1/692416082 Which is greater: -46215/233 or -3? -3 Is 2 > 50698092? False Which is bigger: -24008 or -2136740/89? -24008 Is -12 <= -58/1417? True Which is greater: -45203071 or -45203070? -45203070 Which is smaller: 24375/2674 or 8? 8 Are -5893200 and -1 nonequal? True Is 826 at least as big as -65865? True Is 582315 at most as big as -2/43? False Is 3527 not equal to 11313? True Is 51741391 greater than or equal to 51741392? False Is 3320 equal to 6586? False Which is greater: -19418 or -368938/19? -368938/19 Is 2798151.1 at least as big as 0.1? True Is 73463120 greater than 73463118? True Which is smaller: 5/3 or 638744? 5/3 Which is greater: -6796743 or -6796748? -6796743 Which is greater: 15.6617712 or 0? 15.6617712 Which is greater: -140/29 or 7754? 7754 Is 515/1984133 bigger than 1? False Which is smaller: 1 or -2/7560627? -2/7560627 Is 26272 at most 38981? True Is 1406030 at least as big as 8436187/6? False Which is smaller: -1 or 8/2165647? -1 Which is smaller: -17799509 or -2/21? -17799509 Which is smaller: -39437/616 or -65? -65 Is -43643452 > -43643459? True Which is smaller: 886536 or 19503783/22? 19503783/22 Is 23658375/8 at least 2957298? False Which is greater: 1 or 1/206087? 1 Which is smaller: 116115/1474 or 79? 116115/1474 Which is smaller: 45698 or 45740? 45698 Which is greater: 0 or 1443/359558? 1443/359558 Do -31674910 and -31674900 have different values? True Which is smaller: 15732876 or -1/4? -1/4 Is 0.038 bigger than 173/3740? False Are -434103 and -434106 equal? False Which is smaller: 900328860 or 900328861? 900328860 Which is greater: 271/4584418 or -1? 271/4584418 Is 2637449 > -0.8? True Which is smaller: 1081769 or 28? 28 Which is bigger: 1 or -3/1180696403? 1 Which is bigger: -429297733 or -858595465/2? -858595465/2 Which is smaller: -1008677959 or -1008677958? -1008677959 Which is smaller: 0 or -9003/111215? -9003/111215 Which is bigger: -84122 or -84094? -84094 Is 10458472 < 10458471? False Is 0 != -141/27541313? True Which is smaller: -2022/13667 or -1? -1 Is -5/1750222 at most as big as 0? True Is 892062 bigger than 892086? False Are 10913 and -36353 non-equal? True Which is smaller: -1 or -1/393688469? -1 Is 20609623/4 not equal to 5152407? True Is -1126607/9 > -125179? True Is -15255/731 <= -21? False Which is smaller: 16652541 or 83262706/5? 16652541 Which is greater: -4479 or -112004/25? -4479 Which is bigger: -687 or 682907? 682907 Is -568698 less than -5686977/10? True Do -480/1033 and 44 have different values? True Which is smaller: -1625310/13 or -125025? -125025 Which is bigger: -1.4525 or 24358? 24358 Is -317 at most -279895/881? False Which is smaller: -0.2 or -0.3129227? -0.3129227 Is 35934 greater than or equal to 38672? False Which is bigger: 11 or -1453.5? 11 Is 1590046 <= -229? False Which is smaller: 86618486 or 86618487? 86618486 Is 636033 greater than or equal to 636034? False Are -223 and 5.1398 non-equal? True Which is bigger: -23252 or -23238? -23238 Which is smaller: -3112424/33 or -94316? -94316 Is -69939 < -69609? True Is -571574 less than 2/17? True Which is smaller: -138621 or -138587? -138621 Which is greater: -47729312 or 0? 0 Which is bigger: 144098 or 461? 144098 Is -96066 smaller than -102615? False Which is bigger: -349800045 or -349800046? -349800045 Which is bigger: 168305 or 168158? 168305 Are 786 and 3001 equal? False Is 2759615 greater than or equal to 2759617? False Which is smaller: 0 or -16320/72793? -16320/72793 Which is bigger: 2685036 or -43? 2685036 Is -1 at least as big as 2/13182735? False Which is bigger: -0.6523 or 2.068? 2.068 Do 2382681 and 2382720 have the same value? False Which is greater: 9286998 or 7? 9286998 Which is greater: -8 or -9.0440566? -8 Which is smaller: -79046 or -0.886? -79046 Which is greater: -25770552 or -25770515? -25770515 Is -214807048 less than -214807050? False Is -8376026 at least as big as -259656800/31? False Which is smaller: 98 or -5998.2? -5998.2 Is 7748278 at least 7748277? True Which is greater: 1 or -5/947912? 1 Is -1/19776909 equal to 1? False Does 420757 = 420727? False Which is greater: -188318893 or -376637783/2? -376637783/2 Do 1 and 4/6922777 have different values? True Is 1/264970707 at most as big as 0? False Which is smaller: 3602/69573 or 1? 3602/69573 Which is smaller: -1248435/68 or 1? -1248435/68 Is -1.4 smaller than -4465? False Which is smaller: -347285655/2 or -173642827? -347285655/2 Which is smaller: 542152/41 or 13222? 13222 Is -1 < -4/33896169? True Is 810838 greater than 32? True Which is greater: -44278/16213 or -3? -44278/16213 Which is greater: 25566549 or 102266201/4? 102266201/4 Which is smaller: -9 or 500/74083? -9 Does -32183 = -31392? False Is -67673 greater than or equal to -69368? True Is 1 not equal to -48/15838379? True Is 934424 != 934267? True Is 1 greater than -2/1215499? True Which is smaller: 11.39 or -44846? -44846 Is 359390 smaller than 359340? False Is -6745314 > -6745303? False Does 2135 = -224967? False Which is bigger: -394 or -11/1855? -11/1855 Which is bigger: 19539 or 6639? 19539 Are -0.8 and 12466135 unequal? True Which is smaller: 2/3 or -215322/19? -215322/19 Do -0.1 and 1/178517 have the same value? False Which is greater: 0 or -2/168038713? 0 Is -1 bigger than -2/282447009? False Which is greater: 61807 or 2039612/33? 61807 Which is bigger: -5 or -9386/2159? -9386/2159 Is 34601337 >= -0.1? True Which is smaller: 0.2 or 0.43383596? 0.2 Is -2/49177 bigger than 0.06? False Is 52200201 at least 1/45? True Which is smaller: -38853/17 or 7/3? -38853/17 Is -1 at least -2004/8161? False Is 4190709 <= 4190710? True Which is smaller: 4351868 or 30463074/7? 30463074/7 Is 411 less than -1121? False Is -961544 at most as big as -961556? False Which is smaller: 64738/37351 or 1? 1 Is 0.8 greater than -189039? True Is 3/10 <= -127345492? False Is -214822 > -215264? True Is -273411116 at most as big as -273411116? True Is 112 > 131854? False Which is smaller: 10670 or 10863? 10670 Is 2697.3 less than 55? False Is 59291833/2 at most 29645917? True Which is smaller: 5/539827533 or -1? -1 Is -2497336 <= -2497332? True Which is smaller: 0 or -3/36475081? -3/36475081 Which is greater: -25462 or -3513653/138? -3513653/138 Which is smaller: -3363/10 or 83? -3363/10 Which is greater: -396 or 33385? 33385 Which is smaller: 84 or -1/2114045? -1/2114045 Which is smaller: -335920 or 5.59? -335920 Which is bigger: 715819/220 or 3255? 3255 Which is bigger: -0.9 or -4/18479655? -4/18479655 Which is bigger: -318020 or -205? -205 Which is smaller: 10171 or -9630? -9630 Which is smaller: -21019 or -21079? -21079 Is 2.2 less than 911528.7? True Is 0 bigger than 1/347291673? False Which is smaller: 10.8 or -113.73? -113.73 Is -77844 < 24? True Is 4227793/427 < 9900? False Is 520564 smaller than 518630? False Is -12968 at least -14270? True Is 1 bigger than -4/62397019? True Which is smaller: 108 or -15934/5? -15934/5 Which is bigger: -1 or 52/31782159? 52/31782159 Which is greater: 5.9822 or -31/10? 5.9822 Which is smaller: -43370/96117 or 0? -43370/96117 Which is bigger: -140195 or -139879? -139879 Which is smaller: -134555 or -134593? -134593 Does -0.0019192 = 0.0594? False Which is greater: 0 or -1107/40208? 0 Is -24269679 smaller than -24269678? True Do -12801 and 405 have the same value? False Which is smaller: -1 or 4591/83424? -1 Is -81192568 less than -81192569? False Which is smaller: -9727 or -1870? -9727 Is -10596506 bigg
{ "pile_set_name": "DM Mathematics" }
4) to base 16. -851 What is -10010 (base 5) in base 15? -2c0 24d (base 15) to base 12 377 -901 (base 12) to base 10 -1297 Convert -801a (base 11) to base 2. -10100110101101 8305 (base 14) to base 12 11069 Convert 1321 (base 6) to base 11. 287 63aa (base 12) to base 6 122334 101100001111110 (base 2) to base 8 54176 Convert 34a5 (base 12) to base 7. 23105 What is 14873 (base 10) in base 12? 8735 Convert 10000001 (base 3) to base 11. 170a 1220122 (base 3) to base 14 718 -1847 (base 10) to base 4 -130313 -382 (base 9) to base 6 -1245 What is -103042 (base 6) in base 3? -102120222 324 (base 14) to base 3 211222 4bf (base 16) to base 2 10010111111 Convert -56433 (base 9) to base 10. -37533 Convert 15d7 (base 14) to base 7. 14260 What is 171 (base 15) in base 13? 1c6 202111 (base 3) to base 16 229 Convert 102212220 (base 3) to base 16. 21d8 -21001102 (base 3) to base 11 -3954 -24667 (base 9) to base 15 -4daa Convert -1555 (base 6) to base 16. -1af Convert -106336 (base 7) to base 8. -45137 -35e (base 15) to base 2 -1011111100 What is 121114 (base 7) in base 13? a033 -751 (base 13) to base 8 -2341 What is 4340 (base 9) in base 15? e30 1035 (base 7) to base 12 269 What is 42378 (base 9) in base 2? 110110101110000 What is -8f5 (base 16) in base 8? -4365 Convert 20377 (base 12) to base 8. 122013 Convert 142112 (base 5) to base 8. 13423 Convert -1241 (base 9) to base 15. -41d What is 21763 (base 8) in base 2? 10001111110011 What is -22003 (base 6) in base 10? -3027 What is -121143 (base 5) in base 12? -2770 Convert 6857 (base 13) to base 9. 22028 Convert -322 (base 7) to base 9. -201 What is 100111000101 (base 2) in base 15? b1b Convert -2ca (base 16) to base 11. -59a Convert -8b2 (base 14) to base 7. -5012 Convert 461 (base 13) to base 16. 2f3 Convert 17103 (base 8) to base 13. 36ac -103312 (base 6) to base 4 -2011130 185 (base 11) to base 14 114 -244 (base 12) to base 11 -28a Convert -5535 (base 6) to base 3. -1202112 -133372 (base 8) to base 6 -1000510 Convert 25462 (base 9) to base 6. 211215 What is 122223 (base 4) in base 13? a14 What is -344660 (base 7) in base 5? -3433413 110443 (base 6) to base 2 10010000011011 -10540 (base 8) to base 4 -1011200 -2000011022 (base 3) to base 12 -1aa22 Convert -2a98 (base 13) to base 4. -1201001 What is 1013 (base 6) in base 2? 11100001 What is -264a (base 12) in base 3? -20000011 Convert 4c1 (base 15) to base 14. 573 Convert -4412 (base 12) to base 15. -2352 -10100100001010 (base 2) to base 14 -3b86 2c0 (base 15) to base 12 446 Convert 104244 (base 6) to base 8. 21044 -11182 (base 9) to base 15 -2315 Convert 100110010 (base 2) to base 4. 10302 74d (base 15) to base 16 670 What is 54c (base 13) in base 12? 639 What is 110110111000 (base 2) in base 8? 6670 What is -10000001110111 (base 2) in base 3? -102101211 3404 (base 5) to base 16 1df Convert 5212 (base 7) to base 11. 1407 Convert 12687 (base 9) to base 2. 10000110001000 Convert 1256 (base 10) to base 5. 20011 What is 660 (base 7) in base 15? 176 What is 10631 (base 13) in base 9? 44555 Convert 2124a (base 11) to base 10. 30909 What is 364230 (base 7) in base 6? 1231010 What is -1044032 (base 5) in base 10? -18642 What is -13428 (base 10) in base 6? -142100 Convert 2320 (base 6) to base 9. 673 Convert -2133 (base 13) to base 2. -1000111111101 110100010100 (base 2) to base 16 d14 Convert 45 (base 11) to base 9. 54 What is -45225 (base 7) in base 16? -2cac Convert 1034214 (base 5) to base 11. 12628 What is -113305 (base 7) in base 5? -1123024 What is -540 (base 12) in base 3? -1001110 3012222 (base 5) to base 14 135d2 What is 13124 (base 7) in base 5? 102442 49b (base 14) to base 13 55b Convert -12231 (base 10) to base 4. -2333013 Convert -677 (base 15) to base 16. -5b6 What is -6446 (base 15) in base 16? -52e0 ab83 (base 15) to base 10 36348 What is -207 (base 11) in base 9? -306 What is 1099 (base 13) in base 8? 4423 Convert -6605 (base 8) to base 2. -110110000101 -116 (base 11) to base 10 -138 What is 110110110010001 (base 2) in base 9? 42425 -335556 (base 7) to base 3 -10000210100 What is -6b97 (base 14) in base 12? -aa29 -77032 (base 9) to base 13 -1a318 Convert -3324 (base 9) to base 15. -ad7 Convert 827 (base 12) to base 10. 1183 Convert -2401 (base 6) to base 15. -287 -10046 (base 11) to base 8 -34543 -1e7b (base 15) to base 13 -303b What is 41021 (base 6) in base 14? 1d89 -10231 (base 5) to base 11 -579 What is 100010000011 (base 2) in base 8? 4203 What is -35183 (base 9) in base 12? -11710 -245f (base 16) to base 13 -4313 What is 1020010 (base 3) in base 5? 12034 Convert ca8 (base 15) to base 4. 230222 -201120 (base 3) to base 4 -20100 2b0 (base 13) to base 5 3411 Convert 3102 (base 9) to base 4. 203132 What is 227b (base 15) in base 14? 2948 206420 (base 7) to base 6 434042 What is 10212002 (base 3) in base 14? 104a -706d (base 14) to base 11 -13560 What is 506 (base 10) in base 16? 1fa What is -340 (base 14) in base 4? -22010 What is -107336 (base 8) in base 2? -1000111011011110 Convert 443 (base 9) to base 7. 1026 2088 (base 9) to base 12 a82 What is -2d82 (base 16) in base 8? -26602 Convert 17642 (base 10) to base 2. 100010011101010 201202211 (base 3) to base 10 14413 Convert -362143 (base 7) to base 12. -31b61 Convert 2012 (base 6) to base 13. 27b What is 4278 (base 10) in base 16? 10b6 What is 1320 (base 10) in base 12? 920 -400221 (base 5) to base 8 -30421 Convert 11101000011000 (base 2) to base 11. 101a0 What is 110325 (base 7) in base 5? 1104444 Convert -30050 (base 6) to base 9. -5333 What is 28d2 (base 16) in base 8? 24322 What is -10001100110 (base 2) in base 16? -466 Convert -12201 (base 5) to base 8. -1636 3951 (base 13) to base 2 1111111110010 What is 1233331 (base 6) in base 13? 2458c Convert -335a4 (base 12) to base 15. -15341 -1031012 (base 4) to base 15 -16de -2103412 (base 5) to base 13 -12b34 Convert 170 (base 9) to base 4. 2100 Convert -12142 (base 5) to base 8. -1632 What is 101001101100011 (base 2) in base 9? 32248 Convert -22110 (base 3) to base 11. -198 Convert -36c6 (base 14) to base 13. -4491 Convert -3203 (base 14) to base 5. -234002 What is -48734 (base 9) in base 15? -9a34 Convert -7261 (base 9) to base 7. -21340 810 (base 9) to base 14 34d What is -1631 (base 8) in base 5? -12141 25a0 (base 11) to base 2 110100110001 What is 110012210 (base 3) in base 15? 2989 Convert 1356 (base 7) to base 11. 443 -369 (base 12) to base 7 -1332 What is 230 (base 10) in base 3? 22112 Convert -14260 (base 7) to base 5. -111123 What is 204 (base 7) in base 10? 102 -3362 (base 7) to base 4 -103010 3003320 (base 4) to base 15 3aab What is -1340402 (base 5) in base 16? -6bd2 Convert -2122101 (base 3) to base 2. -11110000111 What is -1024324 (base 5) in base 11? -12137 What is 6179 (base 10) in base 8? 14043 What is 301023 (base 4) in base 16? c4b -101000100101001 (base 2) to base 13 -95c3 Convert 34306 (base 8) to base 7. 60242 Convert -7418 (base 10) to base 9. -11152 What is -3050 (base 8) in base 13? -943 12 (base 13) to base 7 21 What is -15 (base 14) in base 16? -13 -83 (base 13) to base 4 -1223 7673 (base 10) to base 4 1313321 Convert 430 (base 8) to base 5. 2110 Convert -9 (base 14) to base 5. -14 -34130 (base 6) to base 16 -12c6 What is -24a9 (base 11) in base 7? -12343 2114 (base 6) to base 14 262 -1365 (base 7) to base 12 -389 Convert 2718 (base 16) to base 3. 111201200 495 (base 12) to base 10 689 -13230 (base 6) to base 8 -3762 10c9 (base 13) to base 7 6613 What is -9570 (base 10) in base 2? -10010101100010 -120430 (base 8) to base 6 -514532 34141 (base 6) to base 5 123223 42a50 (base 11) to base 3 10011201111 Convert -121110111 (base 3) to base 2. -10111011100001 Convert 2000 (base 14) to base 2. 1010101110000 Convert -899 (base 11) to base 16. -434 What is -4270 (base 9) in base 2? -110001000101 7091 (base 11) to base 8 22311 3619b (base 12) to base 14 1c78b -4132 (base 16) to base 10 -16690 36450 (base 8) to base 14 59c4 4a7 (base 13) to base 16 32d 2160 (base 11) to base 6 21105 Convert -2833 (base 9) to base 5. -32021 What is -2021010 (base 3) in base 2? -11001110010 What is -161 (base 8) in base 14? -81 Convert -11011000110010 (base 2) to base 14. -50b0 -89d (base 15) to base 2 -11110011100 Convert -64b (base 12) to base 1
{ "pile_set_name": "DM Mathematics" }
:26 AM? 11 How many minutes are there between 11:44 PM and 6:52 AM? 428 How many minutes are there between 4:41 AM and 7:15 AM? 154 What is 252 minutes before 11:01 AM? 6:49 AM How many minutes are there between 7:44 AM and 7:58 AM? 14 How many minutes are there between 7:50 AM and 12:54 PM? 304 What is 507 minutes before 9:01 PM? 12:34 PM How many minutes are there between 2:39 AM and 2:50 AM? 11 What is 123 minutes before 3:14 PM? 1:11 PM What is 611 minutes after 3:25 PM? 1:36 AM What is 185 minutes after 1:28 AM? 4:33 AM How many minutes are there between 3:38 PM and 8:29 PM? 291 How many minutes are there between 2:33 PM and 12:20 AM? 587 What is 296 minutes after 12:52 AM? 5:48 AM What is 488 minutes before 1:03 AM? 4:55 PM What is 77 minutes before 10:05 AM? 8:48 AM How many minutes are there between 9:18 PM and 9:38 PM? 20 How many minutes are there between 11:03 AM and 1:42 PM? 159 What is 252 minutes after 3:26 PM? 7:38 PM How many minutes are there between 1:22 AM and 11:05 AM? 583 How many minutes are there between 5:21 PM and 4:37 AM? 676 What is 167 minutes after 12:25 PM? 3:12 PM What is 675 minutes before 11:05 PM? 11:50 AM How many minutes are there between 4:30 PM and 2:48 AM? 618 What is 616 minutes before 3:16 PM? 5:00 AM What is 249 minutes before 6:17 PM? 2:08 PM How many minutes are there between 2:09 AM and 12:18 PM? 609 How many minutes are there between 12:44 AM and 6:51 AM? 367 What is 195 minutes before 1:12 PM? 9:57 AM How many minutes are there between 2:29 PM and 12:34 AM? 605 What is 293 minutes after 5:50 AM? 10:43 AM What is 153 minutes before 10:12 PM? 7:39 PM How many minutes are there between 10:58 PM and 7:10 AM? 492 How many minutes are there between 2:55 PM and 8:05 PM? 310 How many minutes are there between 8:00 AM and 3:54 PM? 474 How many minutes are there between 4:01 AM and 11:24 AM? 443 How many minutes are there between 5:31 AM and 5:41 AM? 10 What is 331 minutes after 3:42 PM? 9:13 PM What is 121 minutes after 1:57 AM? 3:58 AM What is 490 minutes before 1:06 AM? 4:56 PM How many minutes are there between 6:17 AM and 7:46 AM? 89 How many minutes are there between 10:10 PM and 9:07 AM? 657 How many minutes are there between 4:26 PM and 11:11 PM? 405 What is 662 minutes before 3:07 PM? 4:05 AM How many minutes are there between 8:14 PM and 5:00 AM? 526 How many minutes are there between 5:35 AM and 3:45 PM? 610 What is 676 minutes before 10:48 AM? 11:32 PM How many minutes are there between 3:19 AM and 2:59 PM? 700 How many minutes are there between 12:10 AM and 4:08 AM? 238 How many minutes are there between 10:34 PM and 12:10 AM? 96 How many minutes are there between 7:14 AM and 3:35 PM? 501 How many minutes are there between 1:40 PM and 3:35 PM? 115 What is 508 minutes before 8:11 PM? 11:43 AM What is 344 minutes before 2:22 AM? 8:38 PM How many minutes are there between 10:01 PM and 5:10 AM? 429 How many minutes are there between 5:17 AM and 4:34 PM? 677 How many minutes are there between 5:55 PM and 10:53 PM? 298 How many minutes are there between 7:02 AM and 6:42 PM? 700 How many minutes are there between 11:30 AM and 10:48 PM? 678 How many minutes are there between 9:21 PM and 11:18 PM? 117 What is 616 minutes after 5:44 PM? 4:00 AM How many minutes are there between 9:06 PM and 6:42 AM? 576 What is 591 minutes before 7:03 PM? 9:12 AM What is 570 minutes after 10:19 PM? 7:49 AM How many minutes are there between 7:24 AM and 9:15 AM? 111 What is 63 minutes after 11:21 PM? 12:24 AM How many minutes are there between 1:52 AM and 5:55 AM? 243 How many minutes are there between 3:53 AM and 2:53 PM? 660 How many minutes are there between 2:11 AM and 9:19 AM? 428 How many minutes are there between 5:11 PM and 3:00 AM? 589 What is 587 minutes after 11:11 AM? 8:58 PM What is 103 minutes after 7:34 AM? 9:17 AM How many minutes are there between 12:26 PM and 10:10 PM? 584 How many minutes are there between 8:49 AM and 1:03 PM? 254 How many minutes are there between 6:32 AM and 5:59 PM? 687 How many minutes are there between 4:05 AM and 5:05 AM? 60 What is 456 minutes before 12:35 AM? 4:59 PM How many minutes are there between 6:40 AM and 9:13 AM? 153 What is 634 minutes after 10:56 AM? 9:30 PM What is 40 minutes after 11:41 PM? 12:21 AM How many minutes are there between 12:37 PM and 10:48 PM? 611 How many minutes are there between 4:17 AM and 6:49 AM? 152 What is 20 minutes after 11:06 PM? 11:26 PM What is 62 minutes before 6:57 PM? 5:55 PM How many minutes are there between 6:07 PM and 2:57 AM? 530 How many minutes are there between 9:49 PM and 7:54 AM? 605 What is 260 minutes after 5:39 AM? 9:59 AM How many minutes are there between 1:59 PM and 2:32 PM? 33 What is 514 minutes after 9:39 AM? 6:13 PM What is 547 minutes after 9:13 PM? 6:20 AM What is 251 minutes after 6:09 PM? 10:20 PM What is 552 minutes after 4:51 AM? 2:03 PM What is 36 minutes before 11:44 AM? 11:08 AM How many minutes are there between 1:29 AM and 10:53 AM? 564 What is 136 minutes before 11:10 AM? 8:54 AM How many minutes are there between 10:03 AM and 7:19 PM? 556 What is 463 minutes before 3:01 PM? 7:18 AM How many minutes are there between 8:14 AM and 12:20 PM? 246 What is 127 minutes before 1:10 PM? 11:03 AM What is 237 minutes after 3:11 AM? 7:08 AM What is 676 minutes before 7:12 AM? 7:56 PM How many minutes are there between 10:36 AM and 3:10 PM? 274 What is 714 minutes before 4:48 AM? 4:54 PM What is 170 minutes after 6:07 AM? 8:57 AM How many minutes are there between 4:37 AM and 10:04 AM? 327 What is 459 minutes before 1:31 AM? 5:52 PM How many minutes are there between 9:09 PM and 1:00 AM? 231 What is 313 minutes after 10:39 AM? 3:52 PM How many minutes are there between 11:09 PM and 2:36 AM? 207 What is 508 minutes before 1:50 PM? 5:22 AM What is 662 minutes after 5:25 PM? 4:27 AM How many minutes are there between 9:53 PM and 3:38 AM? 345 What is 117 minutes after 3:18 AM? 5:15 AM How many minutes are there between 3:01 AM and 12:46 PM? 585 How many minutes are there between 6:05 AM and 3:46 PM? 581 What is 145 minutes after 11:12 AM? 1:37 PM What is 636 minutes after 2:48 PM? 1:24 AM What is 42 minutes before 1:23 PM? 12:41 PM What is 132 minutes after 1:35 PM? 3:47 PM What is 139 minutes after 7:02 AM? 9:21 AM How many minutes are there between 5:57 PM and 6:51 PM? 54 How many minutes are there between 9:10 AM and 12:14 PM? 184 What is 599 minutes before 2:49 PM? 4:50 AM What is 662 minutes after 8:31 AM? 7:33 PM What is 181 minutes after 6:53 AM? 9:54 AM How many minutes are there between 12:28 PM and 4:26 PM? 238 How many minutes are there between 9:13 PM and 6:41 AM? 568 What is 670 minutes before 7:24 AM? 8:14 PM How many minutes are there between 10:43 AM and 5:37 PM? 414 How many minutes are there between 7:31 PM and 3:14 AM? 463 How many minutes are there between 5:52 AM and 12:42 PM? 410 How many minutes are there between 2:09 PM and 7:32 PM? 323 What is 130 minutes after 6:05 AM? 8:15 AM What is 181 minutes after 9:13 AM? 12:14 PM What is 532 minutes before 4:21 PM? 7:29 AM How many minutes are there between 10:21 AM and 9:42 PM? 681 How many minutes are there between 11:13 AM and 8:32 PM? 559 How many minutes are there between 3:15 PM and 6:39 PM? 204 What is 166 minutes after 1:24 PM? 4:10 PM How many minutes are there between 7:58 AM and 3:26 PM? 448 What is 152 minutes before 7:03 AM? 4:31 AM What is 560 minutes after 9:44 AM? 7:04 PM What is 6 minutes before 9:51 AM? 9:45 AM How many minutes are there between 2:45 AM and 10:21 AM? 456 How many minutes are there between 5:32 AM and 11:57 AM? 385 What is 19 minutes after 1:33 PM? 1:52 PM What is 685 minutes before 12:26 PM? 1:01 AM How many minutes are there between 3:13 PM and 8:36 PM? 323 How many minutes are there between 4:46 AM and 3:14 PM? 628 How many minutes are there between 11:56 PM and 12:35 AM? 39 How many minutes are there between 7:35 AM and 6:27 PM? 652 How many minutes are there between 2:16 AM and 7:57 AM? 341 How many minutes are there between 7:18 PM and 3:45 AM? 507 How many minutes are there between 1:21 AM and 2:23 AM? 62 How many minutes are there between 8:24 PM and 4:51 AM? 507 What is 249 minutes after 9:57 PM? 2:06 AM What
{ "pile_set_name": "DM Mathematics" }
of 15? True Is 98 a factor of 13486590? False Is 63 a factor of 75978? True Is 14 a factor of 136362? False Does 8 divide 145109? False Does 167 divide 90681? True Is 712277 a multiple of 27? False Does 22 divide 10604126? False Is 1023558 a multiple of 31? True Does 17 divide 751162? True Does 83 divide 758703? True Does 747 divide 325506? False Does 28 divide 28784? True Does 80 divide 8001091? False Is 241232 a multiple of 169? False Is 135240 a multiple of 46? True Is 771761 a multiple of 269? True Is 5 a factor of 28670? True Does 378 divide 2626344? True Does 18 divide 338265? False Is 122366 a multiple of 7? False Is 1781296 a multiple of 116? True Is 399235 a multiple of 923? False Is 8 a factor of 6927312? True Does 46 divide 79672? True Is 594 a factor of 3611520? True Is 10 a factor of 45128? False Does 27 divide 9021? False Is 108 a factor of 5548? False Is 40 a factor of 9567120? True Is 562 a factor of 272907? False Does 769 divide 5091700? False Is 19 a factor of 1793790? True Is 1570441 a multiple of 103? True Is 591 a factor of 1516681? False Is 3348432 a multiple of 1104? True Does 15 divide 3388692? False Does 11 divide 1435511? True Is 18 a factor of 3781044? True Is 260620 a multiple of 20? True Does 12 divide 548160? True Is 1096823 a multiple of 378? False Does 22 divide 463797? False Does 110 divide 564849? False Is 632951 a multiple of 16? False Is 57094 a multiple of 34? False Does 764 divide 211628? True Is 2995430 a multiple of 590? True Is 36 a factor of 2388610? False Is 97 a factor of 2555174? True Is 301814 a multiple of 65? False Is 4 a factor of 125509? False Is 453496 a multiple of 4? True Does 803 divide 452892? True Is 9230250 a multiple of 397? True Does 16 divide 3265417? False Is 10 a factor of 808474? False Does 94 divide 396586? True Is 23930153 a multiple of 2119? False Does 201 divide 1504686? True Is 111945 a multiple of 51? True Is 98 a factor of 1343099? False Does 4 divide 913? False Is 547058 a multiple of 37? False Is 3 a factor of 129304? False Is 7 a factor of 246373? False Is 11645 a multiple of 137? True Is 195471 a multiple of 5? False Is 1197952 a multiple of 56? True Is 343240 a multiple of 52? False Does 50 divide 469648? False Is 1225564 a multiple of 268? True Is 43151 a multiple of 5? False Is 1395056 a multiple of 4? True Is 4047400 a multiple of 200? True Is 188037 a multiple of 9? True Does 240 divide 4067040? True Is 612 a factor of 2299284? True Is 57 a factor of 500952? False Is 980223 a multiple of 11? False Is 321393 a multiple of 447? True Is 1739284 a multiple of 327? False Is 13 a factor of 9629202? False Is 503659 a multiple of 42? False Is 22271 a multiple of 40? False Does 28 divide 361284? True Does 69 divide 3819093? False Does 21 divide 4578273? True Is 766073 a multiple of 77? True Does 3 divide 510030? True Is 341295 a multiple of 61? True Is 76 a factor of 4008696? True Is 17 a factor of 1586185? True Is 475330 a multiple of 18? False Is 78200 a multiple of 7? False Does 18 divide 496493? False Is 19055 a multiple of 12? False Is 508567 a multiple of 323? False Is 32 a factor of 1566852? False Does 115 divide 462415? True Is 143262 a multiple of 379? True Is 162466 a multiple of 29? False Is 23 a factor of 3910? True Is 4063294 a multiple of 120? False Is 647017 a multiple of 332? False Is 8 a factor of 92880? True Is 41 a factor of 1528? False Is 7 a factor of 707833? True Is 817150 a multiple of 13? False Is 1021275 a multiple of 255? True Is 685388 a multiple of 421? True Is 52 a factor of 1065740? True Is 8 a factor of 382645? False Does 10 divide 417113? False Is 37001 a multiple of 120? False Is 56 a factor of 2945423? False Does 54 divide 1584198? True Is 69542 a multiple of 32? False Is 16 a factor of 120592? True Does 131 divide 263048? True Is 143 a factor of 481481? True Does 194 divide 10035814? True Is 162 a factor of 725436? True Is 7 a factor of 206542? True Does 12 divide 37861? False Does 7 divide 1260540? False Is 17 a factor of 1575339? True Is 75044 a multiple of 257? True Is 302778 a multiple of 178? True Does 3 divide 116070? True Does 382 divide 310184? True Is 4 a factor of 49683? False Is 373360 a multiple of 104? True Does 7 divide 20394? False Is 197768 a multiple of 31? False Does 273 divide 214429? False Does 14 divide 2382590? True Is 629680 a multiple of 136? True Does 156 divide 19500? True Does 420 divide 5106584? False Does 780 divide 2164500? True Is 676 a factor of 1159340? True Is 78168 a multiple of 12? True Does 148 divide 1632292? True Is 1064 a multiple of 7? True Is 33856 a multiple of 92? True Is 82644 a multiple of 6? True Is 74 a factor of 1341768? True Is 28 a factor of 232732? False Is 30 a factor of 716550? True Is 381 a factor of 73152? True Is 79 a factor of 1747374? False Does 89 divide 924504? False Is 75 a factor of 1367118? False Is 1947414 a multiple of 699? True Does 960 divide 16522560? True Is 98 a factor of 3700679? False Is 21 a factor of 1551837? True Is 12212718 a multiple of 169? False Is 2112416 a multiple of 32? True Is 279540 a multiple of 180? True Is 1365812 a multiple of 28? True Is 176592 a multiple of 13? True Does 9 divide 26393893? False Is 7 a factor of 161791? True Is 1191788 a multiple of 26? True Does 13 divide 8992941? False Does 6 divide 171170? False Is 249571 a multiple of 185? False Does 5 divide 30295? True Is 7 a factor of 4281450? False Is 171741 a multiple of 131? True Is 63 a factor of 4494632? False Is 10 a factor of 113603? False Is 787497 a multiple of 147? False Is 15 a factor of 1462016? False Does 369 divide 63669? False Does 13 divide 3209? False Is 8 a factor of 259744? True Is 88 a factor of 65736? True Is 10 a factor of 27417? False Is 13 a factor of 5020992? False Does 441 divide 155391? False Is 2201825 a multiple of 166? False Is 8134992 a multiple of 16? True Does 39 divide 555207? False Is 250240 a multiple of 320? True Is 16 a factor of 512096? True Does 11 divide 40740? False Is 4 a factor of 6656? True Is 130140 a multiple of 27? True Does 5 divide 115265? True Is 55 a factor of 163515? True Is 240305 a multiple of 3? False Is 2469720 a multiple of 3? True Is 2245 a multiple of 10? False Does 4 divide 6668? True Is 13810800 a multiple of 30? True Is 14 a factor of 107575? False Is 26 a factor of 164793? False Is 46866 a multiple of 73? True Does 86 divide 5361230? False Is 10687 a multiple of 65? False Is 210668 a multiple of 159? False Is 24 a factor of 2449276? False Is 12 a factor of 377580? True Does 31 divide 165914? False Is 5 a factor of 1234222? False Does 62 divide 3308643? False Is 43 a factor of 1476147? True Is 53 a factor of 3159233? False Does 105 divide 48720? True Is 203361 a multiple of 53? True Is 155950 a multiple of 25? True Is 75110 a multiple of 10? True Is 454548 a multiple of 12? True Is 4 a factor of 220320? True Does 44 divide 4109380? True Does 33 divide 152758? False Does 59 divide 624405? False Is 80 a factor of 166400? True Is 19584 a multiple of 9? True Is 839608 a multiple of 308? True Is 5 a factor of 323865? True Does 11 divide 66111? False Does 156 divide 93600? True Is 57 a factor of 13281? True Is 2616810 a multiple of 510? True Is 30 a factor of 135210? True Does 416 divide 3968669? False Is 9 a factor of 1259377? False Is 12467 a multiple of 13? True Is 973 a factor of 3204118? False Is 31 a factor of 2866139? False Is 50 a factor of 383600? True Is 34 a factor of 3318215? False Is 11 a factor of 65392? False Does 543 divide 1477571? False Does 52 divide 32488? False Is 4406387 a multiple of 996? False Is 101517 a multiple of 8? False Does 417 divide 168288? False Is 10 a factor of 2519988? False Is 2552762 a multiple of 132? False Is 1699 a factor of 2478841? True Is 27 a factor of 3937120? False Does 9 divide 653955? False Is 374149 a multiple of 46? False Is 1509546 a multiple of 303? True Is 4355676 a multiple of 52? True Is 39389 a multiple of 17? True Is 195 a factor of 75465? True Is 37 a factor of 702426? False Is 943181 even? False Is 338 a factor of 179816? True Is 48 a factor of 9312? True Does 274 divide 340717? False Is 342083 a multiple of 345? False Is 129900 a multiple of 11? False Is 42 a factor of 1
{ "pile_set_name": "DM Mathematics" }
2? 2 Let o = 0.114 - -0.086. Which is the second biggest value? (a) -4 (b) 0.01 (c) o b Let l(t) = 2*t**2 - 15*t + 15. Let i be l(1). Suppose -5*g + 3*g = -5*d + 5, -10 = 5*d - 5*g. Which is the second biggest value? (a) d (b) 1/2 (c) i c Let i(j) = -j**2 + 4*j + 6. Let h be i(5). Which is the second smallest value? (a) h (b) 3 (c) -0.1 a Let h be (-4 - -6) + (2 - 0). What is the third biggest value in -2, 3, h? -2 Let v be 23/(-1)*1/(-4). Let x = -67/12 + v. What is the smallest value in x, -0.5, -1? -1 Let v = 42 - 43. Which is the third smallest value? (a) 6 (b) v (c) -4 a Let u(o) = 5 - o**3 - 9*o - 2*o**2 - 5*o**2 + 2*o**3. Suppose -6*v = -3*v - 24. Let j be u(v). Which is the second biggest value? (a) -1/4 (b) -5 (c) j c Suppose 3*w = -0*w - v + 2, 2*v - 5 = -5*w. Let m = 0.027 - 0.127. Which is the second biggest value? (a) w (b) m (c) -0.4 c Let o = -0.2 + -0.1. Which is the third biggest value? (a) -0.5 (b) -2 (c) o b Let j = 2 + -5. Let p = j - -3.1. Suppose 0 = -3*l - 2 + 17. What is the smallest value in 0, p, l? 0 Let m = -37 + 255/7. Which is the third biggest value? (a) m (b) 2/21 (c) 3 a Let r = 7 - 3. Suppose r*a - 16 = 4*t, 2*a + 13 = -0*a - 5*t. Let g = 19/4 + -5. What is the biggest value in -1/5, a, g? a Let s = -0.6 - -3.6. Let a = -3 + s. Let j = a - 4. What is the third biggest value in 0.2, j, -3? j Let b(r) = 8*r - r**3 - 6 + 0*r + r**2 + 3*r**2. Let k be b(7). Let u = 295/3 + k. What is the second biggest value in -4, 4, u? u Let g = 1.4 + -1.76. Let f = 3.04 + -3. Let w = f - g. Which is the biggest value? (a) 0 (b) 3/7 (c) w b Let h = -743/1386 + 15/77. Let c = 5/42 + h. Let u = 72 + -67. What is the second biggest value in c, 0.4, u? 0.4 Let y = -4 - -4.1. Let s = -0.6 + y. Let v = s + 0.6. Which is the second biggest value? (a) -3 (b) v (c) 1/5 b Let l = -67 - -68. Which is the third biggest value? (a) -2/25 (b) -24 (c) l b Let m = -0.1 - 0.2. Let x = -34/15 + 18/5. Which is the second smallest value? (a) 2 (b) x (c) m b Let b = -2 + 2.2. Let y = -68 + 68.1. What is the smallest value in b, 3, y? y Suppose -4*u = 12, -m - 32 = -6*m - u. Let h be (-66)/14 + (-2)/m. Which is the smallest value? (a) -2 (b) -3 (c) h c Let m = 2 + -2.2. Let f = 9 + -8.5. What is the second biggest value in m, f, 0.2? 0.2 Let y = -4 - -2. Let s = -133.5 - -128.5. Which is the second biggest value? (a) y (b) 2/9 (c) s a Suppose 45 - 69 = 8*j. Which is the second biggest value? (a) j (b) -2/23 (c) -4 a Let p = 0.2 - 0.2. Let n(o) = -3 - 4*o + 6*o - o. Let q be n(4). What is the second biggest value in q, p, 4? q Let x = -147.3 - -147. Let h = -5.2 - -0.2. What is the second smallest value in -2/3, x, h? -2/3 Let w = 148 + -1330/9. Let d = -6.3 + 6. Which is the smallest value? (a) w (b) -2/5 (c) d b Let g be 4/(-14) + 312/798. Let k be (-2)/(-6)*(2 + 7). Let x be (6/(-9))/((-2)/k). Which is the third biggest value? (a) g (b) 2 (c) x a Suppose i + 2*i = 0. Which is the biggest value? (a) i (b) -5 (c) 0.5 c Let k = -125 - -124.8. Which is the fourth biggest value? (a) -0.4 (b) 2/5 (c) 1/4 (d) k a Suppose 2*f - 6 = 4. Suppose 5*l + 20 = 0, 0*w + w + f*l = -17. Let k = 2 - 5. Which is the third smallest value? (a) 0.1 (b) w (c) k b Let g be ((-3)/(-9))/(-2 + 8 + -5). Which is the fourth biggest value? (a) 0.6 (b) -5 (c) g (d) 0 b Suppose 3*d + 6 = 3*v - 0*d, -v - 3*d - 18 = 0. Which is the smallest value? (a) 0.5 (b) v (c) 5/2 b Let a(t) = -t**3 + t**2 - t + 5. Let b be a(0). Let c = -2.963 - 0.037. What is the biggest value in b, c, -9? b Let t = -4 + 3.9. Let o = -7.7 + 8. Let s = -2.01 - -0.01. What is the second smallest value in o, s, t? t Let m = -6/95 + -83/190. Which is the second biggest value? (a) -5 (b) -2/11 (c) -4 (d) m d Let y be 84/(-43) + (-1 - -3). Let v = y - -39/86. Let g be 1 + -2 + (-1)/(-1). Which is the second biggest value? (a) g (b) v (c) 2/3 b Let x = -14 + 17. Which is the biggest value? (a) 0.3 (b) 7 (c) x b Let h(l) = -l**2 + 15*l - 27. Let g be h(13). Let r be (-4)/10 + 40/225. What is the second biggest value in r, 5, g? r Let k(h) = -h**3 - 7*h**2 + 2*h + 10. Let r be k(-7). Let q(d) = d**2 + 5*d + 3. Let n be q(r). What is the third biggest value in -0.4, n, -5? -5 Let f = -3.06 + -0.94. Which is the second smallest value? (a) f (b) 2 (c) 0 (d) -1/6 d Let o = 12 - 12.1. What is the smallest value in -2, 5, o? -2 Let m = 58 + -58.1. What is the biggest value in 6, m, 4? 6 Let r = -0.1 + 0.12. Let w = r + -4.02. Let z = -25 + 20. What is the smallest value in 5, z, w? z Let m = -0.04 + 0.01. Let g = m + 0.43. Let o = -0.9 - -0.8. Which is the second biggest value? (a) 3 (b) o (c) g c Suppose 0 = -8*z + 5*z - 3. Suppose -6*i + i - 10 = 0. Which is the third smallest value? (a) -0.5 (b) z (c) i a Let s = -0.17 + 9.17. Let d = -14 + s. Which is the second smallest value? (a) d (b) -1/7 (c) 1/4 b Let x = 0 + 2. Let n = -2 + x. Suppose -7*v + 2 = 3*r - 2*v, -5*r + 3*v + 26 = n. Which is the second biggest value? (a) r (b) -0.2 (c) -2 b Let n be 0 - (-1)/((-1)/3). What is the third biggest value in -1/10, 1/11, n? n Let q = -51 - -461/9. What is the smallest value in q, -0.5, -0.005? -0.5 Let g = -0.7 + -2.3. Let z = -3085/21 + 147. Which is the third smallest value? (a) z (b) -4 (c) g a Let s = -0.13 + -1.87. Let q be (-1 + 3)*1/9. Which is the second smallest value? (a) s (b) 3 (c) q c Suppose 0 = 31*b - 50 + 174. Let g = -15 - -11. Let q = g + 3. What is the third smallest value in b, q, -5? q Let f = -2.3 - -2.6. Let k = 0.2 - -0.3. Which is the biggest value? (a) -4 (b) f (c) k c Let d = -16 + 20. Suppose 3*m = -3*o - 24, -8 = 3*m + 4. Let f be o/6*1/(-2). Which is the third smallest value? (a) d (b) f (c) 1/4 a Let y = 0.02 - -0.38. Let v be ((-3)/4)/(2/(-8)). What is the second biggest value in y, 0.3, v? y Let l = 5.05 + -5. Let x = l + -0.25. Let i = -1.2 - x. Which is the second biggest value? (a) -0.1 (b) i (c) -5 b Let d be 3/(-3*1/(-6)). Let s be 33/9 - 4/d. Which is the third biggest value? (a) -3/5 (b) s (c) -3 c Let w = 24 - 24.4. Let y be (-1)/(-2 + (-33)/(-15)). What is the second smallest value in w, y, 0.06? w Let f be ((-1)/4 - 0)*168/63. What is the third smallest value in 3, f, -4/3, -1? f Let f = -4 + 21. Let v = f + -12. Suppose v*t + 5*m + 9 + 11 = 0, m + 5 = -2*t. What is the second smallest value in -3, t, 0.3? t Let y = -119 - -98. Which is the smallest value? (a) 0.2 (b) y (c) -2 (d) 3 b Let g = 1.97 + 0.03. Let r(s) = 4*s**2 - 5*s - 7. Let x be r(6). Let a = x - 532/5. What is the third smallest value in a, g, -2/7? g Let m = 10 - 5. Let y = 0.4 + -1.4. Let t = y - -0.6. Which is the third smallest value? (a) t (b) m (c) 0.4 b Let i = -0.2 + 0.1. Let m be 24/(-32) + (-74)/(-56). Which is the biggest value? (a) i (b) m (c) 4 c Let z = 8.4 - -1.6. Let g = z - 6. What is the second biggest value in 5/2, g, -1? 5/2 Let p be ((-32)/(-24))/(11 - 1). What is the second biggest value in 1/3, p, 1? 1/3 Let a(o) = o**2 + 5*o + 1. Let p be a(-5). Suppose h = 5*h. Let j be (0 - (-6)/8) + h. What is the second smallest value in j, p, 1/5? j Let x(i) = -i**2 - 6*i - 5. Let t be x(-5). Suppose -4*d - 12 = -t. What is the third smallest value in 3, d, 1/7? 3 Let t be 94/4 + 6 + -6. Suppose 7*s - 5 = 2*s, 5*s - 120 = 5*d. Let x = d + t. What is the second smallest value in x, -0.2, -5? -0.2 Let s be (69/(-6))/(1/2). Let v be s/(-5) - (-4)/10. What is the third biggest value in 1/2, v, -0.1? -0.1 Let v = -40 - -40.2. What is the biggest value in 0.5, -3/4, v, -0.1? 0.5 Let u = -0.1 - -0.4. Let y = -1 + -5. Let h = -4 - y. Which is the third smallest value? (a) u (b) h (c) -2/7 b Let q = 24 - 23. Let z = -0.5 + 0.3. What is the biggest value in z, -0.1, q? q Let y = 1 + -5. Let n be y/110*15/3. Suppose -2*f + 20 = 3*f. Which is the second smallest value? (a) 1 (b) n (c) f a Let u = -20 + 5. Let o = u - -11. Let d be (0 - 4/5) + 1. Which is the smallest value? (a) d (b) o (c) -1 b Let t = -3.8 + 4. Let g = 0.3 + t. Which is the biggest value? (a) 1/4 (b) g (c) -3 b Let p = -1 + 2. Suppose 4*x + 9 = -7. Let w be x/6*(-9)/(-8). Which is the biggest value? (a) 0 (b) p
{ "pile_set_name": "DM Mathematics" }
rt(121) + 1*sqrt(121)))*-2 + sqrt(121))/(sqrt(33)/(sqrt(15)/sqrt(5))) + 3*sqrt(99)/(sqrt(9) + sqrt(54)/sqrt(486)). 57*sqrt(11)/10 Simplify ((sqrt(3) - (sqrt(3) - ((sqrt(180)/sqrt(5))/sqrt(12) + sqrt(3)))) + sqrt(48) + 3 + sqrt(48))**2 - ((sqrt(192)*4 - sqrt(192))**2 - (2 + sqrt(363))). -1417 + 71*sqrt(3) Simplify (sqrt(60)/(-1*-2*sqrt(10))*2)/(((-2*sqrt(216))/sqrt(8) - sqrt(27))/sqrt(576)). -8*sqrt(2)/3 Simplify 5 + (-3*(0 + sqrt(567)))**2 + 0 - (1 + (3*sqrt(567) - sqrt(567)) + sqrt(567) + 0 + 5)**2. -324*sqrt(7) - 31 Simplify -4*(-5 + -2*sqrt(108) + 1 + 0 + 2*(-1*sqrt(108) + sqrt(108)))**2*-2 + 5. 768*sqrt(3) + 3589 Simplify -6*(sqrt(45)*1*5 - (sqrt(180) - (sqrt(180) + sqrt(180)*1)))/(sqrt(324) + -1*(sqrt(324) + sqrt(324)*1)). 7*sqrt(5) Simplify (((sqrt(168) + -2*sqrt(168)*1 + sqrt(168) - sqrt(168))/sqrt(8)*-3)/((sqrt(1008) + 3*sqrt(1008) + sqrt(1008))*-6*-5))**2. 1/120000 Simplify (-4*(-2*2*sqrt(78) + sqrt(78) + -5*(-2*sqrt(78) - sqrt(78) - sqrt(78))))/((sqrt(18)*3)/sqrt(3) + sqrt(12)/(sqrt(4)/sqrt(2))). -17*sqrt(13) Simplify ((sqrt(102) - (-2*sqrt(102) + sqrt(102) - sqrt(102)))/sqrt(3))/(-1*sqrt(128)) + (sqrt(51)*-1*-3)/(-1*sqrt(432)). -5*sqrt(17)/8 Simplify ((-2*sqrt(96))/sqrt(2)*-5)/((sqrt(196) - (-3*2*sqrt(196) - sqrt(196)))*-2). -5*sqrt(3)/28 Simplify ((sqrt(33)/((sqrt(36)*-2)/sqrt(12)) - ((-1*sqrt(99)*4)/sqrt(9))**2) + -2)*4. -712 - 2*sqrt(11) Simplify ((-2*(sqrt(132) + sqrt(132) + (sqrt(132) - 5*2*sqrt(132)) - -6*(sqrt(132) + sqrt(132)*2 + sqrt(132))))/(-5*(sqrt(972) - -1*sqrt(972)*3)))**2*-6. -3179/1350 Simplify (3*-4*(sqrt(33) - sqrt(132)/sqrt(4)*-6))/(1*sqrt(108)*3 + (1*sqrt(108) + sqrt(108))*-5 + sqrt(108)). 7*sqrt(11)/3 Simplify 4 + -2 + 0 + (1 + 1 + 0 + sqrt(684))**2 + 3 + -2. 24*sqrt(19) + 691 Simplify -3*(1 + ((-1 + -4*(sqrt(175) - (-1 + sqrt(175))))**2 - (-1*sqrt(175)*5 + -3))). -75*sqrt(7) - 87 Simplify (-1 + -1*sqrt(153) - (sqrt(1088) - (sqrt(1088) + -1 + sqrt(1088) - sqrt(1088))*-3))**2 - (sqrt(68)*-2*1 + sqrt(68))/(sqrt(16)/sqrt(4)*-2)*-2. -139*sqrt(17) + 20829 Simplify (((sqrt(190) - (5*sqrt(190) + sqrt(190))*-5) + (sqrt(190) - -3*-3*sqrt(190)))/((sqrt(150)/sqrt(108))/sqrt(5)*-6))**2. 10051 Simplify ((2*(sqrt(363) + sqrt(363)*2*-1) - -2*(sqrt(363) + 2)*-5) + -3)**2. 6072*sqrt(3) + 52801 Simplify (1 + ((-4*(-1 + sqrt(17)) - 2*sqrt(1088))**2 - -5*(sqrt(272) + -1)) + -2)*6. -840*sqrt(17) + 40860 Simplify (sqrt(187) - (-5*1*sqrt(187) + sqrt(187)) - 2*sqrt(187)*-1)/(sqrt(55)/(sqrt(5) - sqrt(20)) - sqrt(55)/sqrt(125)). -35*sqrt(17)/6 Simplify (((1*sqrt(114) - sqrt(114)) + sqrt(114))*3 - -5*(1*sqrt(114) + sqrt(114)))/((1*sqrt(48)*-1)/(5*sqrt(16)/sqrt(2))). -65*sqrt(19) Simplify 5 + (sqrt(70)/(sqrt(8)/sqrt(4)) - (sqrt(35) + sqrt(70)/sqrt(2))*6)/(sqrt(28)/(5*sqrt(64))). -220*sqrt(5) + 5 Simplify (sqrt(12) + sqrt(1452)*-1 + sqrt(72)/sqrt(6)*-4)/(-5*((sqrt(150)*4 + sqrt(150))*5 - sqrt(150))). 7*sqrt(2)/300 Simplify ((sqrt(972) + (sqrt(972) - sqrt(972)*2) + sqrt(972))*2 - (sqrt(972)*1 + 0) - (6*(0 + sqrt(972)) + 1))**2 + 3. 180*sqrt(3) + 24304 Simplify -3 + -2*(-2*(6*(sqrt(425) + 1) + -2 + 0))**2. -122531 - 1920*sqrt(17) Simplify (sqrt(45)/(sqrt(5)*-2) - (sqrt(27)*2)/sqrt(3))/(sqrt(1728)*1 + sqrt(1728)) + 5. -5*sqrt(3)/96 + 5 Simplify 3 + (((sqrt(121) - (sqrt(121) - (sqrt(121)*-3 - sqrt(121)))) + sqrt(121))*4)/(sqrt(176)*-4) + -4. -1 + 3*sqrt(11)/4 Simplify 1*(-1*(sqrt(33) - (-3*((sqrt(33) - sqrt(33)*3) + sqrt(33)) - sqrt(33))))/(2*sqrt(11)*-5 - (sqrt(110)*1)/sqrt(10)). -sqrt(3)/11 Simplify (-1*sqrt(143)*1 - sqrt(143) - sqrt(143)*1*-4)/(-3*((sqrt(704)*2 + sqrt(704))*-6 + sqrt(704) - sqrt(704))). sqrt(13)/216 Simplify (sqrt(495)/(4*1*sqrt(11) + sqrt(11)))/(sqrt(108)/(sqrt(108) - sqrt(12))*-5)*1. -2*sqrt(5)/25 Simplify ((sqrt(7) + -1*(sqrt(7) + 0) - (sqrt(56)/sqrt(2))/sqrt(4)) + 4)*6 + (sqrt(63) + 2 + -3)*3 + 0. 3*sqrt(7) + 21 Simplify 1*(6*(3 + (3*sqrt(1584))**2) - (2 + (sqrt(66)/(sqrt(42)/(sqrt(7)*-2)))**2)). 85508 Simplify -4*((-1*(1 + sqrt(343)) + -5*(sqrt(343) + 1))**2 + 4*(-3 + sqrt(343) - sqrt(343))*-3)*-6. 12096*sqrt(7) + 298080 Simplify (2*(sqrt(12) + sqrt(192) + sqrt(12)))/(sqrt(48)/(sqrt(432) - sqrt(12) - sqrt(12)) + sqrt(4)) + (2*sqrt(243) + 2 - -1*sqrt(192)*-4)**2. -232*sqrt(3)/5 + 592 Simplify (5*(sqrt(114) + sqrt(114)*-4*-6)*-3)/((sqrt(324)*-2 - sqrt(324))/(sqrt(30)/(sqrt(15)/sqrt(3)))). 125*sqrt(19)/3 Simplify 4*(-5 + -2*sqrt(108) + -2*(-1 + sqrt(108) + sqrt(108)) - ((sqrt(108) - (sqrt(108) + 0 - sqrt(108))) + 3 + 0)**2)*-5. 2400 + 1440*sqrt(3) Simplify -3 + (((sqrt(56) - -2*sqrt(896))/sqrt(7))**2 - (0 + (sqrt(72) - (-4 + sqrt(72))) + -2)). 643 Simplify (-1*-3*sqrt(512) - -3*sqrt(512)*5)/(-3*sqrt(196) - sqrt(44)/(sqrt(11)*2)). -288*sqrt(2)/43 Simplify (6*(-1 + ((sqrt(162) - (sqrt(10)/sqrt(5) + -4)) + (-2*sqrt(1936))/(sqrt(8) + sqrt(32)/(sqrt(4)*-2 - sqrt(4))))*-5))**2. -189000*sqrt(2) + 1140876 Simplify ((sqrt(4)/(sqrt(2)*1) + sqrt(100)/sqrt(2))*2 + 5)**2 + (sqrt(108)*1)/(sqrt(12)/sqrt(2)*-3 - sqrt(6)). 477*sqrt(2)/4 + 313 Simplify (((sqrt(55)*2)/sqrt(5) - (2 + sqrt(44)/sqrt(4))) + 1 + sqrt(1331) + sqrt(1331) + -1 + -3 + 1)**2. -184*sqrt(11) + 5835 Simplify 1 + sqrt(10)/(sqrt(5)*2)*-1 + -2*(-2 + 1*sqrt(32)). -17*sqrt(2)/2 + 5 Simplify 2 + ((sqrt(190) - (sqrt(190) + sqrt(190) + 2*sqrt(190))*-4)/(sqrt(10)*-1*2))**2 + (4*(2*sqrt(2299) + 0 + 0 + sqrt(2299) + -3))**2. -3168*sqrt(19) + 1330299/4 Simplify (3*sqrt(99)*1*-3)/(4*(sqrt(441) - (-4*sqrt(441) - sqrt(441)))). -3*sqrt(11)/56 Simplify -4 + (sqrt(78)*-1*-6)/sqrt(6) + (-1*sqrt(6292)*2)**2. 6*sqrt(13) + 25164 Simplify ((1*(0 + 0 + 1*sqrt(1872))*-2 + 2)*-2)**2*6. -2304*sqrt(13) + 179808 Simplify -5*((-4*sqrt(1368) + sqrt(1368) + sqrt(1368))*-5)/(4*sqrt(242)*-1). 75*sqrt(19)/11 Simplify (sqrt(3087)*-1)/((sqrt(9) + sqrt(27)/sqrt(3))*-2) + (2*sqrt(49)*2)/(sqrt(28)*-6 - sqrt(7)). 75*sqrt(7)/52 Simplify (-5*(-2*sqrt(800)*-6 + sqrt(800)))/((-2*sqrt(288))/(sqrt(8) - sqrt(72)*2)) + -1. -1625*sqrt(2)/3 - 1 Simplify -5 + (sqrt(567)*-2 + 5 - (sqrt(7) - (sqrt(7) - (sqrt(7) + (sqrt(21) - ((sqrt(21) - (sqrt(21) + sqrt(84))) + sqrt(21)))/sqrt(3) + sqrt(7))))*-2)**2*6. -600*sqrt(7) + 4345 Simplify 2*-1*sqrt(1088)*4 - (sqrt(272) + -1 + 2 + sqrt(272) + (0 + sqrt(272))*-2)**2. -64*sqrt(17) - 1 Simplify ((sqrt(11) - sqrt(88)/(sqrt(8)*-2)) + sqrt(11) + -2*sqrt(704) - (1 + sqrt(1584) + -5 + sqrt(99)) - (-3 + 6*(sqrt(176)*1 + 3)))**2. 1155*sqrt(11) + 121759/4 Simplify -5*3*(-1 + sqrt(68))**2*4 - (sqrt(68) + sqrt(68) + -6*(1 + sqrt(68))**2 - sqrt(68) - -2*sqrt(68)*1). -3726 + 258*sqrt(17) Simplify (0 + (sqrt(495)/sqrt(9))/sqrt(11))*2 + sqrt(720) + (sqrt(720) - (sqrt(720) - (4*sqrt(720))**2)) + -1 + 0. 14*sqrt(5) + 11519 Simplify ((2*-2*(1 + sqrt(1900)) - 5*((-3 + sqrt(1900))*-5 - sqrt(1900))) + 2)**2. -40040*sqrt(19) + 1290329 Simplify 3*(1 + sqrt(252) + -2 + sqrt(448)) - (sqrt(28) - (1*sqrt(280))/sqrt(10))/(-2*sqrt(64)). -3 + 42*sqrt(7) Simplify ((5*3*sqrt(204)*3*-3)/(1*(sqrt(1728) + -4*(sqrt(1728) + sqrt(1728)*-2 + sqrt(1728) + sqrt(1728)))))**2. 3825/16 Simplify 4 + (4*sqrt(162)*2*-1)**2 - (sqrt(4)/((sqrt(30)/sqrt(3))/sqrt(5)) + (-3 + sqrt(56)/sqrt(7))**2). 11*sqrt(2) + 10355 Simplify (2 + 4 + (2*(sqrt(117) - -3*sqrt(117)) - 5*(-1*sqrt(117) - sqrt(117))) + -5)**2. 108*sqrt(13) + 37909 Simplify -4*((sqrt(180)*1 - (sqrt(125)*-1 + sqrt(5)))*1 + -3 + 1*(sqrt(5) + sqrt(45)) + -3)**2. -4064 + 672*sqrt(5) Simplify 3 + (3 + -1 + sqrt(7200) + sqrt(7200) + sqrt(7200) - -6*sqrt(7200)*-1) + -5 + 1 + (-1*sqrt(7200))**2 + sqrt(7200) + sqrt(7200). -60*sqrt(2) + 7201 Simplify -5*(sqrt(1872) - (sqrt(1872) + 6*4*sqrt(1872)) - -6*(3 + sqrt(1872)))**2*1*2. -6068520 + 77760*sqrt(13) Simplify (2*sqrt(1664))/(sqrt(2) - 6*sqrt(2)*-1) - -4*(3 + sqrt(52)/sqrt(16)). 12 + 30*sqrt(13)/7 Simplify ((sqrt(35) - (-2*sqrt(245))/sqrt(7)) + (-1*sqrt(35) + sqrt(35))*-1)/(((sqrt(20)/sqrt(2) + sqrt(10))*-6)/(sqrt(2) - (sqrt(2) + -1*sqrt(2)*1))). -sqrt(7)/4 Simplify -6*(sqrt(175)*2 + 4)*4 + 1 + 5*(sqrt(700) + sqrt(700)*2*4 + sqrt(700) + sqrt(700)). -95 + 310*sqrt(7) Simplify 2 + 1 + ((sqrt(475)*1 + sqrt(475))*-6 - sqrt(475))*6 + (-3 + sqrt(475) + -2*(1*sqrt(475) - sqrt(475)))**2. -420*sqrt(19) + 487 Simplify (sqrt(36) + 1*(1*sqrt(36) - sqrt(36)))/((-2*sqrt(108))/sqrt(9)) + (-2*sqrt(900))/(sqrt(48)/sqrt(4)*5). -5*sqrt(3)/2 Simpl
{ "pile_set_name": "DM Mathematics" }
from tmtmtmdmmdunmn. 1/2002 Four letters picked without replacement from {m: 1, d: 2, i: 6, w: 6, g: 1, v: 2}. Give prob of sequence dwvi. 1/510 Four letters picked without replacement from {a: 9, h: 3, g: 4, u: 4}. Give prob of sequence hauh. 3/1615 Three letters picked without replacement from {d: 1, n: 2, f: 1, l: 2, v: 1, p: 1}. What is prob of sequence dfp? 1/336 Three letters picked without replacement from bjbjdbejjbdjj. What is prob of sequence dde? 1/858 Calculate prob of sequence wwww when four letters picked without replacement from {w: 9}. 1 Three letters picked without replacement from {s: 3, r: 5, v: 3, k: 3, o: 1}. What is prob of sequence kvk? 3/455 Calculate prob of sequence cmpr when four letters picked without replacement from exxxecmxemmpepxecmrc. 1/4845 Calculate prob of sequence aa when two letters picked without replacement from {a: 10}. 1 Calculate prob of sequence yvyv when four letters picked without replacement from {v: 9, d: 2, y: 6}. 9/238 Calculate prob of sequence xxey when four letters picked without replacement from yyyxxxxexxxxxiyxxyx. 55/7752 Two letters picked without replacement from lawwwwaylyl. Give prob of sequence yy. 1/55 What is prob of sequence pip when three letters picked without replacement from ipiiiiipcic? 7/495 Four letters picked without replacement from {a: 6}. Give prob of sequence aaaa. 1 Calculate prob of sequence rah when three letters picked without replacement from {h: 9, r: 1, c: 2, a: 1}. 3/572 Three letters picked without replacement from {z: 5, l: 9}. Give prob of sequence zll. 15/91 Calculate prob of sequence is when two letters picked without replacement from qssvssqsvjsisijvssis. 3/38 What is prob of sequence cr when two letters picked without replacement from hmrrcmdxc? 1/18 Two letters picked without replacement from {g: 2, l: 6}. Give prob of sequence gg. 1/28 Two letters picked without replacement from jjufkfjuuuuu. What is prob of sequence jk? 1/44 What is prob of sequence iii when three letters picked without replacement from iiiiiiiii? 1 Calculate prob of sequence wbo when three letters picked without replacement from {b: 1, w: 2, e: 1, p: 1, n: 1, o: 1}. 1/105 Calculate prob of sequence je when two letters picked without replacement from {h: 1, e: 1, k: 1, j: 4, a: 3, y: 2}. 1/33 What is prob of sequence uh when two letters picked without replacement from kkufuuh? 1/14 What is prob of sequence jbb when three letters picked without replacement from bjbjjbjjbjjbbzj? 8/91 What is prob of sequence eeg when three letters picked without replacement from {g: 10, e: 3, z: 2}? 2/91 Four letters picked without replacement from owowoooowowwokwoo. Give prob of sequence okoo. 3/238 Three letters picked without replacement from {g: 5, u: 2}. What is prob of sequence guu? 1/21 Calculate prob of sequence ppx when three letters picked without replacement from {p: 11, x: 2}. 5/39 Three letters picked without replacement from eoeeeoow. What is prob of sequence oee? 3/28 What is prob of sequence gc when two letters picked without replacement from {g: 16, c: 2}? 16/153 Two letters picked without replacement from {o: 3, h: 4, m: 1, t: 1, f: 1, s: 5}. What is prob of sequence st? 1/42 Calculate prob of sequence be when two letters picked without replacement from bee. 1/3 Three letters picked without replacement from {j: 1, r: 1, c: 1, i: 1, m: 1}. What is prob of sequence imr? 1/60 Calculate prob of sequence dodo when four letters picked without replacement from {d: 4, o: 2}. 1/15 Two letters picked without replacement from qpqqaqqqpmap. What is prob of sequence qq? 5/22 Calculate prob of sequence ra when two letters picked without replacement from {a: 1, h: 1, u: 2, r: 1}. 1/20 What is prob of sequence jgf when three letters picked without replacement from wamjgmf? 1/210 Two letters picked without replacement from ryyyrrrrry. Give prob of sequence ry. 4/15 Four letters picked without replacement from {a: 2, h: 2, w: 1, b: 7, m: 4}. Give prob of sequence wabb. 1/520 Three letters picked without replacement from yfzffpfrnnnyf. What is prob of sequence fpy? 5/858 Three letters picked without replacement from {k: 2, h: 2, t: 1, q: 1, z: 6, e: 3}. What is prob of sequence hzt? 2/455 Two letters picked without replacement from {x: 2, b: 1, g: 4, f: 1, j: 1}. Give prob of sequence jf. 1/72 Four letters picked without replacement from hmxeubhbebxbmxemx. Give prob of sequence umhx. 1/2380 What is prob of sequence za when two letters picked without replacement from xxvxvvxmvzax? 1/132 Two letters picked without replacement from {i: 3, a: 1, s: 7, e: 1, z: 1}. What is prob of sequence ia? 1/52 Two letters picked without replacement from {s: 7}. What is prob of sequence ss? 1 Calculate prob of sequence ooy when three letters picked without replacement from {y: 3, u: 4, l: 4, o: 3}. 3/364 Three letters picked without replacement from ggogzzgzzaa. What is prob of sequence gag? 4/165 Two letters picked without replacement from {i: 6, h: 2, g: 7}. What is prob of sequence gg? 1/5 Calculate prob of sequence cmmc when four letters picked without replacement from cmmmmmcmcccm. 7/99 Calculate prob of sequence bn when two letters picked without replacement from {x: 1, n: 9, i: 3, h: 1, b: 2, g: 2}. 1/17 What is prob of sequence gg when two letters picked without replacement from {e: 12, g: 7}? 7/57 Calculate prob of sequence iic when three letters picked without replacement from vvicin. 1/60 Three letters picked without replacement from rnrnnrrrrrrr. Give prob of sequence rnr. 9/55 What is prob of sequence fu when two letters picked without replacement from ulaffueeufueefr? 8/105 What is prob of sequence tzvf when four letters picked without replacement from vfzzzfzvftzzvsvz? 1/520 Three letters picked without replacement from jhm. What is prob of sequence jmh? 1/6 What is prob of sequence ci when two letters picked without replacement from {c: 12, i: 1}? 1/13 Four letters picked without replacement from vvvvlvavavvvaaaavaa. What is prob of sequence vvla? 5/646 Three letters picked without replacement from aauuauuauuasauusasu. What is prob of sequence ass? 7/969 What is prob of sequence llv when three letters picked without replacement from {v: 6, l: 2, h: 2, t: 1, g: 7}? 1/408 What is prob of sequence fs when two letters picked without replacement from fftctlfsfl? 2/45 Three letters picked without replacement from {y: 5, w: 8, v: 2, c: 1}. Give prob of sequence vyc. 1/336 Four letters picked without replacement from wwwwnwwwwnww. Give prob of sequence nnww. 1/66 Two letters picked without replacement from sssssssss. What is prob of sequence ss? 1 Calculate prob of sequence iihh when four letters picked without replacement from {o: 1, h: 5, i: 12}. 11/306 What is prob of sequence hhpp when four letters picked without replacement from {p: 12, h: 7}? 77/1292 What is prob of sequence aaf when three letters picked without replacement from {f: 1, v: 5, a: 7}? 7/286 What is prob of sequence ie when two letters picked without replacement from {i: 13, k: 3, e: 1}? 13/272 Four letters picked without replacement from mcydmyfyadd. Give prob of sequence dayy. 1/440 What is prob of sequence vv when two letters picked without replacement from uuvvuuvvvvuuv? 7/26 Calculate prob of sequence ggh when three letters picked without replacement from {k: 10, g: 4, h: 5}. 10/969 Calculate prob of sequence jj when two letters picked without replacement from qjjqjjqjjj. 7/15 Two letters picked without replacement from yvvvvyylvyvjjvjvvvl. Give prob of sequence ll. 1/171 What is prob of sequence ac when two letters picked without replacement from cqqqcriqa? 1/36 Three letters picked without replacement from {o: 4, x: 3}. What is prob of sequence xox? 4/35 What is prob of sequence nax when three letters picked without replacement from {q: 1, a: 3, x: 2, n: 4}? 1/30 What is prob of sequence and when three letters picked without replacement from {a: 1, p: 10, d: 1, n: 2, f: 3}? 1/2040 Two letters picked without replacement from nncccncnnnnncncnnn. What is prob of sequence nn? 22/51 Three letters picked without replacement from {b: 1, h: 4, z: 1, a: 2}. What is prob of sequence zah? 1/42 What is prob of sequence ey when two letters picked
{ "pile_set_name": "DM Mathematics" }
+ 93*v**2 - 2*v + 11 What is the f'th term of -3555, -7107, -10667, -14235, -17811? -4*f**2 - 3540*f - 11 What is the k'th term of 26, 68, 106, 140, 170, 196? -2*k**2 + 48*k - 20 What is the y'th term of -800, -836, -920, -1076, -1328, -1700? -4*y**3 - 8*y - 788 What is the c'th term of -1469, -2888, -5261, -8594, -12893, -18164? -c**3 - 471*c**2 + c - 998 What is the f'th term of -1451801, -1451788, -1451759, -1451708, -1451629? f**3 + 2*f**2 - 1451804 What is the t'th term of 272530, 272529, 272528, 272527, 272526? -t + 272531 What is the x'th term of -17, 141, 403, 769, 1239, 1813? 52*x**2 + 2*x - 71 What is the a'th term of -156, -61, 22, 93, 152? -6*a**2 + 113*a - 263 What is the n'th term of -2551823, -2551825, -2551827? -2*n - 2551821 What is the b'th term of 2720, 2838, 2956, 3074, 3192? 118*b + 2602 What is the t'th term of -1222, -2454, -3698, -4954? -6*t**2 - 1214*t - 2 What is the d'th term of -15, -114, -419, -1032, -2055, -3590? -17*d**3 - d**2 + 23*d - 20 What is the t'th term of 225, 275, 341, 429, 545, 695, 885? t**3 + 2*t**2 + 37*t + 185 What is the u'th term of 10105, 20211, 30315, 40417? -u**2 + 10109*u - 3 What is the c'th term of -10279, -41092, -92443, -164332? -10269*c**2 - 6*c - 4 What is the n'th term of -26521, -53049, -79577? -26528*n + 7 What is the z'th term of -281, -715, -1435, -2441, -3733, -5311? -143*z**2 - 5*z - 133 What is the z'th term of 13, -2, -19, -32, -35? z**3 - 7*z**2 - z + 20 What is the x'th term of 505, 566, 681, 850, 1073, 1350? 27*x**2 - 20*x + 498 What is the f'th term of -182, -383, -730, -1223, -1862, -2647? -73*f**2 + 18*f - 127 What is the u'th term of -13, -25, -39, -49, -49, -33, 5, 71? u**3 - 7*u**2 + 2*u - 9 What is the l'th term of 1049, 2157, 3273, 4403, 5553, 6729? l**3 - 2*l**2 + 1107*l - 57 What is the s'th term of 804, 674, 542, 408? -s**2 - 127*s + 932 What is the c'th term of 1960, 2558, 3158, 3760, 4364, 4970, 5578? c**2 + 595*c + 1364 What is the c'th term of -797, -864, -977, -1136, -1341, -1592? -23*c**2 + 2*c - 776 What is the w'th term of -1766, -1886, -2088, -2372, -2738, -3186, -3716? -41*w**2 + 3*w - 1728 What is the v'th term of 2634, 3245, 4264, 5691, 7526? 204*v**2 - v + 2431 What is the x'th term of -274, -595, -962, -1375, -1834? -23*x**2 - 252*x + 1 What is the j'th term of 2271, 8834, 19695, 34860, 54335, 78126? j**3 + 2143*j**2 + 127*j What is the w'th term of -32, -119, -238, -389, -572, -787, -1034? -16*w**2 - 39*w + 23 What is the q'th term of 7521, 15093, 22665, 30237? 7572*q - 51 What is the p'th term of 1945, 1956, 1975, 2002, 2037, 2080, 2131? 4*p**2 - p + 1942 What is the h'th term of 488, 2340, 5548, 10112? 678*h**2 - 182*h - 8 What is the r'th term of -65, -322, -579, -836? -257*r + 192 What is the z'th term of 24, 106, 232, 384, 544? -3*z**3 + 40*z**2 - 17*z + 4 What is the o'th term of -144, -159, -174? -15*o - 129 What is the h'th term of 1202989, 1202991, 1202993? 2*h + 1202987 What is the t'th term of -18558, -18557, -18556, -18555? t - 18559 What is the o'th term of -205, -412, -649, -928, -1261, -1660? -2*o**3 - 3*o**2 - 184*o - 16 What is the y'th term of -62, -157, -268, -401, -562? -y**3 - 2*y**2 - 82*y + 23 What is the q'th term of -24, 407, 1294, 2637, 4436? 228*q**2 - 253*q + 1 What is the t'th term of 9196, 18390, 27596, 36820, 46068, 55346, 64660? t**3 + 9187*t + 8 What is the u'th term of 18301290, 18301288, 18301286? -2*u + 18301292 What is the z'th term of -1017, -6090, -19861, -46680, -90897, -156862, -248925, -371436? -725*z**3 + z**2 - z - 292 What is the g'th term of 1372, 5612, 12678, 22570, 35288? 1413*g**2 + g - 42 What is the q'th term of 598309, 1196624, 1794949, 2393290, 2991653, 3590044, 4188469, 4786934? q**3 - q**2 + 598311*q - 2 What is the j'th term of 140285, 280576, 420869, 561164, 701461, 841760? j**2 + 140288*j - 4 What is the r'th term of 113126, 113124, 113122, 113120, 113118? -2*r + 113128 What is the q'th term of 396, 428, 408, 312, 116, -204? -4*q**3 - 2*q**2 + 66*q + 336 What is the s'th term of 15474, 15484, 15498, 15516, 15538, 15564, 15594? 2*s**2 + 4*s + 15468 What is the d'th term of 5817, 5835, 5865, 5907? 6*d**2 + 5811 What is the p'th term of -23, -91, -283, -671, -1327? -12*p**3 + 10*p**2 - 14*p - 7 What is the l'th term of 3012, 6024, 9040, 12060, 15084? 2*l**2 + 3006*l + 4 What is the y'th term of -401171, -1604675, -3610515, -6418691, -10029203, -14442051? -401168*y**2 - 3 What is the n'th term of 40602, 81195, 121788, 162381, 202974? 40593*n + 9 What is the c'th term of -55, -119, -219, -355, -527? -18*c**2 - 10*c - 27 What is the p'th term of -9643, -9652, -9661, -9670? -9*p - 9634 What is the y'th term of 70, 24, -92, -314, -678, -1220, -1976, -2982? -6*y**3 + y**2 - 7*y + 82 What is the s'th term of -2159, -4192, -6225, -8258, -10291, -12324? -2033*s - 126 What is the m'th term of 5677, 5666, 5647, 5620, 5585? -4*m**2 + m + 5680 What is the x'th term of -1876, -14945, -50404, -119449, -233276, -403081, -640060? -1866*x**3 + x**2 - 10*x - 1 What is the r'th term of -479587, -959174, -1438761, -1918348? -479587*r What is the l'th term of -13622, -13598, -13578, -13568, -13574, -13602, -13658? -l**3 + 4*l**2 + 19*l - 13644 What is the p'th term of -284, -590, -946, -1352, -1808, -2314? -25*p**2 - 231*p - 28 What is the w'th term of 24644, 49289, 73934, 98579, 123224? 24645*w - 1 What is the v'th term of -28986, -28989, -28992, -28995, -28998? -3*v - 28983 What is the g'th term of -838, -1603, -2368, -3133, -3898? -765*g - 73 What is the n'th term of 441, 873, 1295, 1707, 2109, 2501? -5*n**2 + 447*n - 1 What is the l'th term of 86, 120, 176, 254, 354, 476, 620? 11*l**2 + l + 74 What is the a'th term of 22, 104, 300, 664, 1250? 9*a**3 + 3*a**2 + 10*a What is the f'th term of 41236, 82474, 123712, 164950? 41238*f - 2 What is the p'th term of -29, -37, -57, -83, -109, -129? p**3 - 12*p**2 + 21*p - 39 What is the f'th term of -10599, -10581, -10561, -10539, -10515? f**2 + 15*f - 10615 What is the j'th term of -1670, -1680, -1694, -1712, -1734, -1760, -1790? -2*j**2 - 4*j - 1664 What is the p'th term of -1416, -2777, -4108, -5403, -6656, -7861? p**3 + 9*p**2 - 1395*p - 31 What is the r'th term of 179, 474, 957, 1622, 2463, 3474, 4649, 5982? -r**3 + 100*r**2 + 2*r + 78 What is the g'th term of -167762, -335527, -503292, -671057, -838822? -167765*g + 3 What is the n'th term of -2792, -4798, -6818, -8858, -10924, -13022, -15158, -17338? -n**3 - n**2 - 1996*n - 794 What is the k'th term of 44829, 44858, 44887, 44916, 44945? 29*k + 44800 What is the o'th term of -231458, -231460, -231462? -2*o - 231456 What is the k'th term of 14752, 14768, 14800, 14854, 14936, 15052, 15208, 15410? k**3 + 2*k**2 + 3*k + 14746 What is the r'th term of 399800, 399797, 399794, 399791? -3*r + 399803 What is the x'th term of -163708, -327413, -491118, -654823? -163705*x - 3 What is the n'th term of -211, -650, -1309, -2188, -3287? -110*n**2 - 109*n + 8 What is the r'th term of -63197, -63178, -63159, -63140, -63121? 19*r - 63216 What is the i'th term of 589, 874, 1187, 1528, 1897, 2294? 14*i**2 + 243*i + 332 What is the j'th term of 5284, 10562, 15840, 21118, 26396, 31674? 5278*j + 6 What is the m'th term of 254858, 509703, 764548, 1019393, 1274238? 254845*m + 13 What is the v'th term of -12541, -12391, -12241? 150*v - 12691 What is the m'th term of 17, -42, -197, -496, -987, -1718? -8*m**3 - 3*m + 28 What is the s'th term of 83, 88, 183, 440, 931, 1728, 2903, 4528? 12*s**3 - 27*s**2 + 2*s + 96 What is the n'th term of -13, 61, 163, 305, 499, 757, 1091? 2*n**3 + 2*n**2 + 54*n - 71 What is the t'th term of 3759, 3735, 3697, 3639, 3555, 3439? -t**3 - t**2 - 14*t + 3775 What is the d'th term of -339181, -678364, -1017547, -1356730, -1695913? -339183*d + 2 What is the p'th term of -4749, -4714, -4679, -4644, -4609, -4574? 35*p - 4784 What is the n'th term of 9, 148, 395, 762, 1261, 1904? 2*n**3 + 42*n**2 - n - 34 What is the o'th term of 2863, 11383, 25567, 45403, 70879, 101983? -2*o**3 + 2844*o**2 + 2*o + 19 What is the c'th term of -3542, -14170, -31884, -56684? -3543*c**2 + c What is the y'th term of -24463, -48933, -73403? -24470*y + 7 What is the n'th term of 784, 836, 960, 1192, 1568? 6*n**3 + 10*n + 768 What is the k'th
{ "pile_set_name": "DM Mathematics" }
110/39. Find the common denominator of r and -2*21/150*(-3080)/(-231). 45 Let i = -6 - -11. Suppose 60 = h + i*h. Find the common denominator of 4/h - (-73)/(-10) and 99/4. 20 Let b(y) = 8*y**2 + 18*y - 66. Let u(h) = -h - 2. What is the smallest common multiple of b(3) and u(-8)? 60 Let s = 149 - -1428. Let x = 6347/4 - s. Find the common denominator of x and 37/4. 4 Suppose 0 = -4*r + 3*r - 2. Let n = 18 - r. Calculate the smallest common multiple of 2 and n. 20 Let s = -4 + 7. Let o = -4162 + 4172. What is the smallest common multiple of o and s? 30 Suppose -5*v + 0*r + 5*r = 55, -r - 4 = 0. What is the least common multiple of -2 - v/9 - (-50)/6 and 4? 8 Suppose 0 = 5*z + 36 + 9. Calculate the common denominator of ((-285)/40)/(z/(-30)) and 43/16. 16 Suppose -2*y + 5 + 1 = -2*l, 2*y = 10. Suppose -84 = -3*p + 6. Suppose -p = -j - 2*j. What is the lowest common multiple of l and j? 10 Suppose -2*g + 27 + 13 = 0. Suppose -2*b - b = 2*t - 14, -3*b + t + g = 0. What is the least common multiple of b and 4? 12 Let x = -172837/27 + 6400. Find the common denominator of x and -37/144. 432 Find the common denominator of 10083/1260 + (-17 - -9) and -17/189. 3780 Let u be (-4)/(-10) + 234/15. Suppose 1 = -5*h + u. What is the smallest common multiple of (9 + (-152)/16)*(-16 - 0) and h? 24 Suppose -3*v - 691 = 2*d, 2*v - 3*d = -752 + 274. Suppose 3*n = 4*n - 54. Find the common denominator of 23/16 and v/144 + 12/n. 48 Let f = -8129/8 + 1019. Let q = 8885 + -17425/2. Let i = -177 + q. What is the common denominator of f and i? 8 Let q = -19075 + 229091/12. Let h = q - 16. Calculate the common denominator of h and 83/21. 84 Let c = -49 + 26. Let s = 69 + -102. Calculate the common denominator of s and 4/(20/c) + 2. 5 Find the common denominator of -43/202 and (-94)/10 + (-9)/(-30)*10. 1010 Let m be ((-9353718)/(-420))/9 + (-4)/(-10). Let d = -2467 + m. Find the common denominator of 67/14 and d. 14 Let k = 1324 + -29047/22. Let y(h) = 378*h**3 + h**2 - h - 1. Let q be y(-3). Let z = 122441/12 + q. What is the common denominator of z and k? 132 Suppose -5 = -p, -3*p = 2*r + 659 + 7178. Let c = -23407/6 - r. Find the common denominator of (-6)/(-80)*125/2 and c. 48 Let b be 4/10 + 78/5. Suppose -t + 4*x = b, 7 - 2 = -2*t - x. What is the common denominator of 1/12 and 4 - (-434)/(-44) - t? 132 Let w(p) = -p**2 + 6*p + 6. Suppose -4 = -2*f + 14. Let j be w(f). Let l = j + 37. Calculate the lowest common multiple of l and 6. 48 Suppose -3*j + 4*n = -5, -j + 2*j + n - 4 = 0. Suppose -j*l + 21 = -15. Let i = 4 - -4. What is the lowest common multiple of l and i? 24 Calculate the lowest common multiple of 14/(-119) + (-2042)/(-17) and 3. 120 Let x be 4 + 3 + -6 + 132. Find the common denominator of 6/(1 + (-19)/(-13)) and 3 + x/(-22) - 0. 176 Suppose -5*s + 107 = 2*t, -275 = -5*t - 7*s + 2*s. Let o = t - 88. Let m = -26 - o. What is the least common multiple of 8 and m? 24 Let i(k) = 2*k - 25. Let j be i(11). Calculate the lowest common multiple of 6 and (-60)/(-9) + 2/j. 6 Let v(r) = r**2 + 17*r - 8. Calculate the smallest common multiple of v(-20) and 13. 52 Let p = 37957249595/117998 - 39565274/123. Let n = 3/4268 - -8487/6141652. Let d = p + n. What is the common denominator of 113/10 and d? 30 Let r = -1007/15 - -67. Calculate the common denominator of r and -50/7. 105 Let j = -6257 - -75029/12. Let r = 281915271530 + -45565965336052351/161630. Let l = r - 2/16163. Find the common denominator of j and l. 60 What is the common denominator of 121/18 and (-180640)/(-248000) - (-4)/(-5)? 13950 Let r(x) = x**3 + 21*x**2 + 23*x + 65. Calculate the smallest common multiple of r(-20) and 169. 845 Let q = 6005359/40 + -772198/5. Let d = q + 4316. What is the common denominator of 41/18 and d? 72 Suppose 0 = -0*p - 2*p + 26. Let o = -20 + 34. Suppose -5*x - 4*y + 22 = -2*y, -4*x + 2*y = -o. Calculate the smallest common multiple of p and x. 52 Let z = 5989 + -36085/6. Let y = 41257/29295 + -1/1085. Calculate the common denominator of z and y. 54 Let d = -1091 + 1111. Calculate the smallest common multiple of d and 96. 480 Let g = 241987/74 + -3270. Let f = -2513 + 9983/4. Calculate the common denominator of g and f. 148 Let l(z) = 4 + 4 - z**3 + z - 6. What is the lowest common multiple of l(0) and 141/6 + (-36)/8 + 5? 24 What is the common denominator of ((-140)/735)/(11/(66/20)) and (-1)/3 - (-939)/90? 70 Suppose -2663 - 105 = -8*r. What is the lowest common multiple of 8 and r? 1384 Let r(x) = x**3 + 8*x**2 + 3*x. Let l be r(-8). Let g = l + 35. What is the least common multiple of 5 and g? 55 Calculate the common denominator of -61/6 and -4 + ((-1)/4 - 30693/(-7748)). 894 Suppose -49*h + 110 = -47*h. Let d = 66 - h. What is the least common multiple of d and 3? 33 Suppose 4*v - 80 = 2*c, 3*v - 4*c - 50 = -0*c. Let f(b) = -b**2 + 9*b + 2. Let w be f(8). Let h = w - 4. Calculate the lowest common multiple of v and h. 66 Let o = -16326 + 261129/16. Let r = 20 + -8. Calculate the common denominator of 31/r*3/(-4) and o. 16 Suppose 6 = -2*t + 2. Let c = 6/175 - -10289/1050. Find the common denominator of c and 753/108 - t/(-9). 12 Let f = 1006 - 394. Calculate the lowest common multiple of f and 16. 2448 Suppose -5*w + 5*r + 19 = -w, 4 = 4*r. What is the least common multiple of w and 22? 66 Suppose 61 = 22*l - 137. What is the least common multiple of (4/(-6))/(4/(-18)) and l? 9 Let t = -15271 - -229349/15. Let l = 2737/120 - t. What is the common denominator of 63/10 and l? 40 Let h = -119 + 220. What is the common denominator of h*(1/40 - 0) and 91/18? 360 Let x(h) be the first derivative of -h**2/2 + 7*h - 1. Let c be x(6). What is the smallest common multiple of (4 - 0) + (c - 1) and 2? 4 Let f = 152 + 28. Calculate the lowest common multiple of 20 and f. 180 What is the common denominator of -29/60 and ((-28)/(-21))/(2/42*-10)? 60 Suppose -4*q - 8 = -24. Suppose q*p + 0*l - 46 = 2*l, 4*p = 4*l + 44. What is the lowest common multiple of p and 30? 60 Let h be ((-19)/(-8))/((-1)/386). Let v = h + 922. What is the common denominator of -53/8 and v? 8 Let n = -66159/2063173 + 26/821. Let m = 103027/15078 - n. Let c = 11475/8 - 1427. Find the common denominator of c and m. 24 Suppose 9*a - t + 74 = 14*a, -5*a = -5*t - 50. What is the least common multiple of 338 and a? 2366 Let a(d) = d**2 - d - 12. Let u = 23 - 11. Suppose 2*w - w = -h + 16, -w - 2*h + u = 0. What is the lowest common multiple of a(6) and w? 180 Let m = -54083911/306 - -176745. What is the common denominator of m and -57/68? 612 Suppose 116 = 4*v - 124. Let x = -57 + v. Calculate the smallest common multiple of x and 18. 18 Let l = 27 + -17. Suppose -2*i + 15*i = 208. Calculate the lowest common multiple of l and i. 80 Let u = 108319/10 - 10821. Let j = 13/632 - 10911/315368. Let k = j + -36315/7984. What is the common denominator of k and u? 80 Let q(n) be the first derivative of n**3/3 - 7*n**2/2 + 3*n - 5. Let v be q(7). Suppose 0 = -v*s - 4 + 16. What is the least common multiple of s and 10? 20 Let c be (1 - 82/(-6))*(-9)/(-6). Let q = 25 - c. What is the smallest common multiple of 10 and q? 30 Suppose 4*f - 2*l = -5*l + 713, -3*l + 349 = 2*f. What is the smallest common multiple of 2 and f? 182 Let y be (9/(-36))/((-10)/(-163)). Let q = y + 29/20. Calculate the common denominator of q and -121/10. 40 Let o(b) = 21*b - 185. Calculate the lowest common multiple of 12 and o(9). 12 Suppose -3*w + 8*w = -9460. Let z be (9/(-3) - 0) + 67224/(-36). Let y = w - z. What is the common denominator of y and -77/2? 6 Let n be 0*(-4 - -3)*-1 + 75. Find the common denominator of 43*(220/n - 3) and 14/33. 165 Let g(o) = -7*o - o - o + 11*o**2 + 6*o. Calculate the least common multiple of g(1) and 8. 8 Let r = -199 - -255. Calculate the least common multiple of r and 70. 280 Suppose -4*n - 306 = 262. Let s = 201 + n. Calculate the common denominator of 48/5 and (s/6)/(6/(-9)). 20 Suppose 2*x - 12 = -2*x. Suppose x*f = -166 - 851. What is the common denominator of 79/10 and (-2 - -1) + f/(-66)? 110 Suppose f - 18 - 11 = 0. Let u = f + -25. Calculate the least common multiple of u and 9/((-1 + -1)/(-2)). 36 Let k = 18248301/39790 - 80832/173. Let s = -81/23 - k. Calculate the common denominator of s an
{ "pile_set_name": "DM Mathematics" }
. Calculate o. -991 Determine x so that -3*x**4 - 294*x**3 + 1848*x**2 - 2496*x = 0. -104, 0, 2, 4 Let -5*f**2 - 400*f - 395 = 0. What is f? -79, -1 Solve -4*m**2 + 40*m + 44 = 0 for m. -1, 11 Let 3*r**4/5 + 234*r**3/5 + 6183*r**2/5 + 12636*r + 43740 = 0. Calculate r. -30, -9 Determine y so that -7*y**4/5 - 24*y**3/5 + 54*y**2/5 + 216*y/5 + 81/5 = 0. -3, -3/7, 3 Factor 10*f**2/7 + 68*f/7 + 48/7. 2*(f + 6)*(5*f + 4)/7 Factor z**4/7 - 34*z**3/7 + 108*z**2/7 + 360*z/7. z*(z - 30)*(z - 6)*(z + 2)/7 Factor -5*l**4 + 130*l**3 - 125*l**2. -5*l**2*(l - 25)*(l - 1) Factor -5*d**2 - 65*d - 150. -5*(d + 3)*(d + 10) What is t in -2*t**2/3 + 22*t/3 + 140 = 0? -10, 21 Solve 3*g**5/2 + 15*g**4 + 36*g**3 - 24*g**2 - 168*g - 144 = 0. -6, -2, 2 Factor -2*h**4/13 - 12*h**3/13 - 16*h**2/13. -2*h**2*(h + 2)*(h + 4)/13 Factor 3*n**5 - 27*n**4 + 39*n**3 + 135*n**2 - 150*n. 3*n*(n - 5)**2*(n - 1)*(n + 2) What is a in 3*a**3 + 33*a**2 - 180*a = 0? -15, 0, 4 Solve -5*p**5 - 290*p**4 + 635*p**3 + 2120*p**2 + 1200*p = 0. -60, -1, 0, 4 Factor -2*f**2/9 - 130*f/9 - 124/3. -2*(f + 3)*(f + 62)/9 Factor -9*u**2 - 1455*u + 486. -3*(u + 162)*(3*u - 1) Solve 5*s**3 + 305*s**2/2 + 60*s - 450 = 0. -30, -2, 3/2 Factor -b**5/3 + b**4/3 + 5*b**3/3 - b**2/3 - 8*b/3 - 4/3. -(b - 2)**2*(b + 1)**3/3 Factor 5*o**2 + 80*o + 300. 5*(o + 6)*(o + 10) Suppose 4*r**3/3 - 28*r + 80/3 = 0. What is r? -5, 1, 4 Factor -x**2/8 - 17*x/2 + 36. -(x - 4)*(x + 72)/8 Solve -6*o**2 - 62*o + 44 = 0 for o. -11, 2/3 Find u such that 8*u**5/19 - 10*u**4/19 - 14*u**3/19 + 4*u**2/19 = 0. -1, 0, 1/4, 2 Factor q**3 - 3059*q**2 - 6121*q - 3061. (q - 3061)*(q + 1)**2 Factor -5*o**3 - 90*o**2 - 480*o - 800. -5*(o + 4)**2*(o + 10) Factor 2*j**3/5 + 64*j**2/5 - 56*j + 288/5. 2*(j - 2)**2*(j + 36)/5 Find q, given that 2*q**5/5 - 21*q**4/5 + 58*q**3/5 - 68*q**2/5 + 36*q/5 - 7/5 = 0. 1/2, 1, 7 Factor 2*j**4 + 220*j**3 + 214*j**2 - 436*j. 2*j*(j - 1)*(j + 2)*(j + 109) Find s, given that -3*s**5 - 9*s**4 + 24*s**3 + 36*s**2 - 48*s = 0. -4, -2, 0, 1, 2 Factor -5*u**2 + 55*u. -5*u*(u - 11) Solve 4032*l**4 - 480*l**3 + 100*l**2/7 = 0. 0, 5/84 Factor t**2/4 + 15*t/2 + 81/4. (t + 3)*(t + 27)/4 Let -68*c**2 - 1488*c + 176 = 0. What is c? -22, 2/17 Let 3*z**4 - 162*z**3 + 2487*z**2 - 8100*z + 7500 = 0. What is z? 2, 25 Determine n, given that -n**4/4 - 3*n**3 + n**2 + 12*n = 0. -12, -2, 0, 2 Solve -9*v**3/5 + 21*v**2/5 + 108*v/5 + 12 = 0 for v. -2, -2/3, 5 Determine z so that 6*z**2/7 + 3*z - 12/7 = 0. -4, 1/2 Let p**5/2 - 5*p**4/2 - 12*p**3 - 2*p**2 + 16*p = 0. What is p? -2, 0, 1, 8 Determine q so that q**5/3 - q**4/3 - 101*q**3 - 765*q**2 - 1134*q = 0. -9, -2, 0, 21 Factor -4*s**3 + 6768*s**2 - 3817152*s + 717624576. -4*(s - 564)**3 Factor g**2/3 + 14*g + 80/3. (g + 2)*(g + 40)/3 Factor -3*o**4 - 30*o**3 + 9*o**2 + 96*o + 60. -3*(o - 2)*(o + 1)**2*(o + 10) Determine p, given that p**4/6 + 3*p**3 + 59*p**2/6 + 7*p = 0. -14, -3, -1, 0 Solve -20*x**4 - 96*x**3 + 60*x**2 + 472*x - 96 = 0 for x. -4, -3, 1/5, 2 Factor -3*g**3 + 813*g**2 - 54672*g - 55488. -3*(g - 136)**2*(g + 1) Factor -5*p**3 + 635*p**2 + 5320*p + 10800. -5*(p - 135)*(p + 4)**2 Factor -4*l**2 + 64. -4*(l - 4)*(l + 4) Solve 3*p**5 - 18*p**4 - 21*p**3 = 0. -1, 0, 7 Factor -m**3/3 + 190*m**2/3 - 377*m/3 + 188/3. -(m - 188)*(m - 1)**2/3 Factor 25*u**2 + 2015*u - 810. 5*(u + 81)*(5*u - 2) Find t such that 13*t**2 + 63*t - 10 = 0. -5, 2/13 Suppose 2*f**2/5 + 22*f/5 + 36/5 = 0. What is f? -9, -2 What is j in 2*j**4 - 23*j**3 + 64*j**2 - 67*j + 24 = 0? 1, 3/2, 8 Factor -3*w**2 - 207*w - 204. -3*(w + 1)*(w + 68) Factor 2*m**3/7 + 156*m**2/7 + 582*m/7 - 740/7. 2*(m - 1)*(m + 5)*(m + 74)/7 Find f such that -f**2/5 - 6*f/5 - 9/5 = 0. -3 Find o, given that -o**3 + 35*o**2 + 1417*o + 10309 = 0. -13, 61 Factor 2*x**4/7 + 74*x**3/7 + 144*x**2 + 6016*x/7 + 13312/7. 2*(x + 8)**3*(x + 13)/7 Find q, given that 5*q**3 - 14745*q**2 + 14494335*q - 4749310435 = 0. 983 Factor -2*i**3 - 28*i**2 - 22*i + 52. -2*(i - 1)*(i + 2)*(i + 13) What is n in -2*n**3 + 6*n**2 - 4*n = 0? 0, 1, 2 Factor h**5/2 - h**4/2 - 7*h**3/2 + 13*h**2/2 - 3*h. h*(h - 2)*(h - 1)**2*(h + 3)/2 Suppose -2*b**5/15 + 46*b**4/15 - 94*b**3/5 + 74*b**2/3 + 140*b/3 = 0. Calculate b. -1, 0, 5, 14 Factor -o**3 + 42*o**2 - 431*o + 390. -(o - 26)*(o - 15)*(o - 1) Factor k**2/6 + 3*k + 16/3. (k + 2)*(k + 16)/6 Solve -2498*o**3/15 + 4162*o**2/5 + 15008*o/15 + 8/5 = 0 for o. -1, -2/1249, 6 Factor 4*y**3/11 + 26*y**2/11 - 86*y/11 + 36/11. 2*(y - 2)*(y + 9)*(2*y - 1)/11 What is g in -18*g**5 - 104*g**4 - 192*g**3 - 132*g**2 - 14*g + 12 = 0? -3, -1, 2/9 Determine t, given that -2*t**4 + 106*t**3 - 86*t**2 - 954*t + 936 = 0. -3, 1, 3, 52 Let -3*j**5/7 + 12*j**4/7 + 9*j**3/7 - 54*j**2/7 = 0. What is j? -2, 0, 3 Solve -2*a**5/7 - 6*a**4/7 + 44*a**3/7 + 12*a**2 - 234*a/7 - 270/7 = 0 for a. -5, -3, -1, 3 Factor -2*u**3/9 - 10*u**2/3 + 32*u/9. -2*u*(u - 1)*(u + 16)/9 Let 5*w**2 + 3855*w + 3850 = 0. What is w? -770, -1 Suppose 12*l**3/5 + 40*l**2 - 284*l/5 + 72/5 = 0. Calculate l. -18, 1/3, 1 Factor 3*t**3 - 42*t**2 + 72*t. 3*t*(t - 12)*(t - 2) Solve -2*b**4/13 - 2*b**3/13 + 4*b**2/13 = 0. -2, 0, 1 Let -3*i**5/2 - 33*i**4/2 - 99*i**3/2 - 111*i**2/2 - 21*i = 0. Calculate i. -7, -2, -1, 0 Find t, given that -3*t**5/2 + 15*t**4 + 57*t**3/2 - 114*t**2 - 198*t = 0. -2, 0, 3, 11 Factor -y**2/9 - 109*y - 980/9. -(y + 1)*(y + 980)/9 Solve -9*n**5/2 - 321*n**4/2 + 123*n**3/2 + 537*n**2/2 - 57*n - 108 = 0. -36, -1, -2/3, 1 Factor u**2/2 + u. u*(u + 2)/2 Factor -m**2 - 88*m. -m*(m + 88) Factor -o**4 + 68*o**3 - 261*o**2 + 322*o - 128. -(o - 64)*(o - 2)*(o - 1)**2 Suppose 3*k**3 + 462*k**2 + 1365*k + 906 = 0. What is k? -151, -2, -1 Factor -2*v**2 - 2024*v. -2*v*(v + 1012) Factor 2*z**3/9 + 10*z**2/9 + 16*z/9 + 8/9. 2*(z + 1)*(z + 2)**2/9 Determine b, given that 20*b**3 - 95*b**2 + 95*b + 30 = 0. -1/4, 2, 3 Factor n**2 - 1753*n. n*(n - 1753) Solve -2*o**3/3 + 4*o**2/3 + 14*o/3 + 8/3 = 0 for o. -1, 4 Let -4*i**5 - 28*i**4 - 36*i**3 + 92*i**2 + 200*i + 96 = 0. Calculate i. -4, -3, -1, 2 Determine j, given that -j**2/4 - 77*j/2 - 745/4 = 0. -149, -5 Factor 5*u**2/4 - 75*u/4 - 95. 5*(u - 19)*(u + 4)/4 Factor u**3/2 - 27*u**2/2 + 135*u/2 - 189/2. (u - 21)*(u - 3)**2/2 What is m in -2*m**5/3 - 4*m**4/3 + 2*m**3 = 0? -3, 0, 1 Factor -2*f**2/9 + 352*f - 139392. -2*(f - 792)**2/9 Suppose 2*b**2/3 + 12*b + 34/3 = 0. What is b? -17, -1 Factor -5*x**2 + 170*x + 2760. -5*(x - 46)*(x + 12) Suppose -3*b**2 - 15*b + 18 = 0. Calculate b. -6, 1 Let -25*r**4 - 790*r**3 - 3980*r**2 + 13720*r - 4800 = 0. Calculate r. -24, -10, 2/5, 2 Find q, given that -q**4/2 - q**3 - q**2/2 = 0. -1, 0 Let d**2/3 + 11*d + 30 = 0. Calculate d. -30, -3 Suppose 4*q**5/5 + 74*q**4/5 + 216*q**3/5 + 74*q**2/5 - 248*q/5 - 24 = 0. Calculate q. -15, -2, -1/2, 1 Solve 12*k**5/5 + 59*k**4/5 - 86*k**3/5 - 41*k**2/5 + 44*k/5 + 12/5 = 0. -6, -2/3, -1/4, 1 Factor 3*t**3/4 - 20385*t**2/4 + 46172025*t/4 - 34859878875/4. 3*(t - 2265)**3/4 Factor -6*z**2 + 21*z - 9. -3*(z - 3)*(2*z - 1) Suppose 4*l**3/3 + 8668*l**2/3 + 1566740*l + 1563852 = 0. Calculate l. -1083, -1 Factor -n**2/6 + 7*n/3 - 49/6. -(n - 7)**2/6 Solve -2*x**2 + 446*x = 0. 0, 223 Factor 25*f**2/7 - 60*f/7 + 36/7. (5*f - 6)**2/7 Find w such that -3*w**2/2 + 1725*w/2 - 1719 = 0. 2, 573 Factor 2*x**2/3 - 5840*x/3 - 3896. 2*(x - 2922)*(x + 2)/3 Factor -25*p**4 - 305*p**3 - 60*p**2. -5*p**2*(p + 12)*(5*p + 1) Determine k so that 14*k**5/5 - 248*k**4/5 + 54*k**3/5 + 9108*k**2/5 + 20736*k/5 + 5184/5 = 0. -3, -2/7, 12 Determine b, given that b**5/4 + b**4/4 - 7*b**3/4 - 13*b**2/4 - 3*b/2 = 0. -2, -1, 0, 3 Suppose -c**5 + 4*c**4 - 6*c**3 + 4*c**2 - c = 0. What is c? 0, 1 Factor x**2/4 - 2*x - 5. (x - 10)*(x + 2)/4 Determine k, given that -k**2/3 + 134*k/3 - 133/3 = 0. 1, 133 Factor m**3/4 - 11*m**2 + 155*m/4 + 50. (m - 40)*(m - 5)*(m + 1)/4 Solve -2*o**2 + 4362*o - 4360 = 0. 1, 2180 Solve -4*z**4 - 396*z**3 - 1536*z**2 - 1520*z = 0 for z. -95, -2, 0 Determine h, given that -5*h**5 + 30*h**4 + 495*h**3 - 520*h**2 = 0. -8, 0, 1, 13 Suppose 2*r**4/7 + 10*r**3/7 + 10*r**2/7 - 10*r/7 - 12/7 = 0. What is r? -3, -2, -1, 1 Suppose c**2 - 22*c + 21 = 0. What is c? 1, 21 Find z, given that -8*z**3 + 6*z**2 = 0. 0, 3/4 Suppose u**5 - 7*u**4 + 15*u**3 - 9*u**2 =
{ "pile_set_name": "DM Mathematics" }
prob of sequence nn when two letters picked without replacement from annnanngngggngnn. 3/10 Calculate prob of sequence qq when two letters picked without replacement from {q: 12, x: 3}. 22/35 Three letters picked without replacement from zzzrrrrrrzzrzzrr. Give prob of sequence rrr. 3/20 Two letters picked without replacement from jxjjrrjjyjjjjj. What is prob of sequence rj? 10/91 Calculate prob of sequence ssq when three letters picked without replacement from bsbsqbbssbq. 4/165 Two letters picked without replacement from {s: 1, y: 4, j: 1, h: 1, o: 1}. What is prob of sequence so? 1/56 Calculate prob of sequence pk when two letters picked without replacement from {m: 3, t: 4, h: 1, j: 8, p: 2, k: 2}. 1/95 What is prob of sequence oodd when four letters picked without replacement from rodcorroodododdrro? 7/612 Calculate prob of sequence zzv when three letters picked without replacement from {v: 2, z: 5, w: 1, u: 1}. 5/63 Two letters picked without replacement from {z: 10, d: 4, u: 5}. Give prob of sequence zd. 20/171 Four letters picked without replacement from uuef. What is prob of sequence euuf? 1/12 Calculate prob of sequence ooa when three letters picked without replacement from xoxxxoxxxoaxxxx. 1/455 Two letters picked without replacement from cqbwgcy. What is prob of sequence wq? 1/42 What is prob of sequence jl when two letters picked without replacement from jvjlljjljllvjljjjl? 7/34 Two letters picked without replacement from unuhz. Give prob of sequence nz. 1/20 Three letters picked without replacement from jhkhjhjjkkcnjpk. What is prob of sequence pnj? 1/546 What is prob of sequence llxx when four letters picked without replacement from {l: 3, x: 1, y: 1}? 0 Two letters picked without replacement from ppksksss. Give prob of sequence pk. 1/14 Two letters picked without replacement from ejcuuudjucuueuuecuce. Give prob of sequence ej. 2/95 Calculate prob of sequence nnc when three letters picked without replacement from ntncn. 1/10 What is prob of sequence ww when two letters picked without replacement from {k: 7, o: 3, w: 3}? 1/26 What is prob of sequence xxx when three letters picked without replacement from {m: 1, b: 1, q: 5, a: 2, x: 1}? 0 Four letters picked without replacement from {e: 3, v: 2, d: 7, c: 7, x: 1}. What is prob of sequence vxdc? 49/58140 Two letters picked without replacement from kjtjxjqjjqq. Give prob of sequence qj. 3/22 Calculate prob of sequence uv when two letters picked without replacement from icoviubv. 1/28 Two letters picked without replacement from {b: 3, k: 1}. What is prob of sequence bk? 1/4 What is prob of sequence st when two letters picked without replacement from issitssisssissssiisi? 3/95 Calculate prob of sequence bh when two letters picked without replacement from {t: 2, f: 1, h: 4, a: 1, b: 10}. 20/153 Calculate prob of sequence ju when two letters picked without replacement from fjummf. 1/30 Four letters picked without replacement from {r: 4, g: 4, k: 1, y: 1, j: 1}. What is prob of sequence rjyr? 1/660 Two letters picked without replacement from {o: 3, m: 2, k: 2, s: 3, q: 1, e: 1}. Give prob of sequence sq. 1/44 Calculate prob of sequence ithi when four letters picked without replacement from hhhihhhhhhhhithhh. 1/2040 Three letters picked without replacement from {f: 1, e: 4, j: 2, l: 4}. Give prob of sequence efj. 4/495 Calculate prob of sequence vv when two letters picked without replacement from pvppvpp. 1/21 Calculate prob of sequence mmxg when four letters picked without replacement from mxmxxgmgggxx. 1/99 What is prob of sequence ig when two letters picked without replacement from {i: 4, c: 3, r: 1, g: 6}? 12/91 Three letters picked without replacement from rwwwwrrwwr. What is prob of sequence www? 1/6 Four letters picked without replacement from zffzffizcf. Give prob of sequence ffzz. 1/42 Two letters picked without replacement from ppppppppapppp. What is prob of sequence ap? 1/13 Four letters picked without replacement from {i: 3, w: 3}. What is prob of sequence wiww? 1/20 Two letters picked without replacement from {q: 2, c: 1}. What is prob of sequence qc? 1/3 Three letters picked without replacement from uvvlvlvlvhrv. What is prob of sequence rll? 1/220 What is prob of sequence ehh when three letters picked without replacement from {h: 5, e: 7}? 7/66 Two letters picked without replacement from {x: 5, v: 4, p: 3, z: 1, u: 5}. What is prob of sequence px? 5/102 Calculate prob of sequence kcck when four letters picked without replacement from {x: 1, k: 2, c: 4}. 1/35 What is prob of sequence ep when two letters picked without replacement from {v: 2, k: 1, s: 1, e: 4, p: 2}? 4/45 Calculate prob of sequence hhg when three letters picked without replacement from wwgwhhwgggwww. 2/429 Two letters picked without replacement from {d: 1, u: 1, a: 1, z: 2, s: 1, v: 1}. What is prob of sequence zu? 1/21 Calculate prob of sequence ttoo when four letters picked without replacement from ztirbttbootb. 1/495 Four letters picked without replacement from {x: 9, e: 9}. What is prob of sequence eeex? 21/340 Calculate prob of sequence vjjn when four letters picked without replacement from {v: 4, c: 2, j: 1, n: 1}. 0 Three letters picked without replacement from kkckh. Give prob of sequence cck. 0 Calculate prob of sequence hevt when four letters picked without replacement from tvmmthevvvvvvvttv. 3/4760 Two letters picked without replacement from qpaajtkttaak. Give prob of sequence at. 1/11 Two letters picked without replacement from {l: 1, t: 2, i: 1}. Give prob of sequence tl. 1/6 What is prob of sequence ds when two letters picked without replacement from {d: 2, s: 1}? 1/3 Calculate prob of sequence gzb when three letters picked without replacement from zmzpzpgszbgsgbzm. 1/112 Calculate prob of sequence vw when two letters picked without replacement from hvwjv. 1/10 Two letters picked without replacement from iiiiiiiiiriiiiiliii. Give prob of sequence li. 17/342 Calculate prob of sequence drrr when four letters picked without replacement from rdrrdrr. 1/7 Two letters picked without replacement from sfxkfakkxssasxs. What is prob of sequence as? 1/21 Three letters picked without replacement from {l: 1, o: 3, j: 1, w: 1, m: 1, q: 5}. What is prob of sequence mqq? 1/66 What is prob of sequence hzh when three letters picked without replacement from zanzzhh? 1/35 Two letters picked without replacement from eeessdddd. What is prob of sequence de? 1/6 Two letters picked without replacement from {l: 1, i: 1, d: 1, e: 1, q: 3}. What is prob of sequence il? 1/42 Calculate prob of sequence raur when four letters picked without replacement from hruhrwhrrrwuauhu. 1/546 Calculate prob of sequence wo when two letters picked without replacement from qqroqxqqqqrjwroq. 1/120 Four letters picked without replacement from ukzz. What is prob of sequence kuzz? 1/12 Calculate prob of sequence vh when two letters picked without replacement from vvvvhhvvhvvvvv. 33/182 Three letters picked without replacement from etbbzetbuubbttetbbub. What is prob of sequence bzb? 7/855 Two letters picked without replacement from luuuhzpuuqpqq. Give prob of sequence zh. 1/156 What is prob of sequence cq when two letters picked without replacement from {j: 8, q: 5, c: 3}? 1/16 Two letters picked without replacement from {r: 10, g: 1, h: 5, f: 4}. Give prob of sequence gh. 1/76 Calculate prob of sequence zz when two letters picked without replacement from {z: 2, l: 3, x: 1, h: 6}. 1/66 Three letters picked without replacement from {p: 3, j: 3, d: 2, r: 5}. Give prob of sequence dpd. 1/286 Calculate prob of sequence av when two letters picked without replacement from vaa. 1/3 Calculate prob of sequence owo when three letters picked without replacement from owooooooowwo. 9/55 What is prob of sequence qq when two letters picked without replacement from {n: 1, e: 1, v: 1, a: 1, q: 1}? 0 Two letters picked without replacement from {s: 1, x: 1, m: 2, a: 1}. Give prob of sequence sx. 1/20 Two letters picked without replacement from {s: 7, w: 2, r: 2, e: 8}. Give prob of sequence es. 28/171 Calculate prob of sequence my when two letters picked without replacement from {l: 4, y: 12, m: 4}. 12/95 What is prob of sequence mq when two letters picked wit
{ "pile_set_name": "DM Mathematics" }
388 + 1167 - 389. Let s(r) = -3*o(r) - z(r). Give s(3). 6 Let t(a) = -199*a**2 + 80*a**2 - 28*a - 9 + 116*a**2. What is t(-9)? 0 Let i be 1/(20/(-5)) + 2793/(-12). Let u = 227 + i. Let k(d) = -3*d - 16. Let x(q) = q + 5. Let n(b) = -3*k(b) - 8*x(b). Calculate n(u). 2 Let n = 78 + -72. Let c(q) = q**2 - 9*q + 2. What is c(n)? -16 Let b(r) be the second derivative of 7*r**3/6 - 3*r**2/2 + 13*r. Let f(i) = -2*i + 0*i - 3 + 8*i. Let p(o) = -4*b(o) + 5*f(o). Calculate p(3). 3 Let w be (-6)/(-14) - (276/(-42) - -4). Let h be (w + -4 - -2)*(-15)/5. Let n(l) = l + 3. Let x(j) = -2*j - 6. Let g(t) = -5*n(t) - 3*x(t). Give g(h). 0 Suppose c - 292 = -3*c. Let v = -65 + c. Let n(j) = j**3 - 8*j**2 - 1. Give n(v). -1 Let u(m) = -m - 4. Let r be (3 - 4)*(3 - 3). Let f be u(r). Let y(c) = c**2 + 10*c + 6. Let j(q) = -q**2 - 11*q - 7. Let x(b) = -4*j(b) - 5*y(b). Give x(f). 6 Let k(v) = 2*v**2 + 8*v - 5 - v + 10. Let g be ((-390)/(-312))/(1/(-4)). Determine k(g). 20 Suppose 9 - 19 = -2*j. Let f(c) = -15*c**3 + 16*c**3 + 4*c - j*c. Calculate f(0). 0 Let s(v) = 5*v**3 - 7*v**2 - 15*v + 8. Let g(u) = -4*u**3 + 7*u**2 + 13*u - 8. Let q(c) = -6*g(c) - 5*s(c). Suppose -29 = 5*o + 1. Give q(o). -10 Let y(h) be the first derivative of h**2 - 31*h - 17. Give y(17). 3 Let m(s) be the third derivative of s**5/60 - s**4/24 + s**3/3 + 432*s**2. What is m(-5)? 32 Let p(b) = 6*b**2 - b. Suppose 4*z + 4*v = -0*v - 12, -v - 3 = -2*z. Suppose 2*a - 3 = -z*d - d, -d = 5*a - 6. Calculate p(a). 5 Suppose -3*h = -4*a - 8, 3*a + 34 = 3*h + 28. Let l(x) = 11*x + 1. Calculate l(a). -21 Suppose -2*r + 3*v = 1, 0 + 5 = v. Let h be (-2)/(-8) + (-21)/(-12). Let z(c) = -c**2 + h + r + 5*c - 7. Give z(4). 6 Let o(x) = -x**2 - 1. Let b(s) = 6*s**2 + 6*s + 10. Let t(w) = -b(w) - 5*o(w). What is t(-6)? -5 Let d = -220 - -220. Let w(u) = -2*u + 30. Give w(d). 30 Let o be (69/46)/((-2)/(-4)). Let u(d) = -2*d + 14*d**2 - 9*d**2 - d**o + 0*d + 1 - 2*d. Calculate u(4). 1 Let s(u) be the second derivative of u**6/120 - u**5/30 + u**2/2 + 2*u. Let k(w) be the first derivative of s(w). Let j = -434 - -436. Give k(j). 0 Suppose 48 = -9*z + 3. Let u(o) = -o**2 - 8*o + 4. Calculate u(z). 19 Suppose -40 = 15*c - 10*c. Let o(l) = l - 2. Determine o(c). -10 Let k(o) be the third derivative of o**6/120 + o**5/20 - o**4/6 - 2*o**3/3 + o**2. Suppose 54*y - 19*y = 23*y - 36. Determine k(y). 8 Let m be 19/5 + (-3)/(-15). Suppose 0 = -3*b - 2*b, -w + m*b - 5 = 0. Let i(a) = a**3 + 5*a**2 + 3*a - 6. What is i(w)? -21 Let i(w) be the first derivative of -w**2 - 3*w + 1811. Let l be (-2)/5 - 44/(-10). Calculate i(l). -11 Let n = 662 + -664. Let r(h) = -3*h**3 + 2*h**2 + 4*h + 2. Give r(n). 26 Let s(o) be the first derivative of o**5/20 + o**4/6 - 2*o**3/3 - 3*o**2/2 + 3*o - 18. Let v(k) be the first derivative of s(k). Calculate v(-3). 0 Suppose w - 2*n + 4 + 7 = 0, -5*n + 22 = 3*w. Suppose 0*a = a - 5, b + a - 16 = 0. Let f(c) = -3*c - 7*c**3 - b*c**3 + 4*c + 12*c**3. Give f(w). 5 Let x(h) = 12*h**2 - 6 - 9*h + 13*h**2 + 8*h**2 - 32*h**2. Suppose -l + 11 = 2. Determine x(l). -6 Suppose -3*z + 8 = -1. Suppose -4*c + z = -c. Let x(s) = 1 - 513*s - s**2 + 513*s - 11*s**3 - s**2. Determine x(c). -12 Let n(i) = 16*i**2 + 2*i + 1. Let d be n(-1). Let f(u) = -2*u + d - 29 + 14. Determine f(-2). 4 Suppose 4*g + n = 6, -g - 4*n + 1 = 7. Let u(m) = 6*m - 5. Determine u(g). 7 Let m(c) = -c**3 - 9*c**2 - 6*c + 17. Let b be m(-8). Let i be b/(3*(-5)/30). Let j(g) = -g**2 - 3*g - 2. Calculate j(i). 0 Let j(n) be the second derivative of -13*n**7/840 - n**6/360 + n**4/24 - 11*n**3/3 + 20*n. Let c(t) be the second derivative of j(t). Calculate c(-1). 13 Suppose -5*r - r + 90 = 0. Let h be 20/(r/3) - -4. Suppose 0 = 9*y - h*y - 6. Let v(l) = -l**3 + 6*l**2 - 2*l + 2. Give v(y). -10 Suppose g - s = -4, -3*g + 0*g + s - 8 = 0. Let m be g*4/(-1 - 3). Let k(w) = -3*w**2 + w + 2. What is k(m)? -8 Let w(f) be the third derivative of 0*f**3 - 1/6*f**4 + f**2 + 0 - 1/60*f**5 + 0*f. Suppose 12*q = 65*q + 159. Calculate w(q). 3 Let f = 23 - -1. Suppose 2*i + 77 = 5*t, -5*i - 26 = -3*t + f. Let a(k) = t - k - 8 - 2 - 8. Calculate a(-7). 4 Let x(m) be the first derivative of -m**3/6 - m**2/2 + 6*m + 6. Let l(b) be the first derivative of x(b). Give l(2). -3 Let v(p) = -5*p + 13. Let d(k) = 6*k - 21. Let l(u) = -4*d(u) - 5*v(u). What is l(-15)? 4 Let v be 1 - (1 + 0 + -1). Let u(z) = -v - 3*z + 2*z**3 + 13*z**2 - 8*z**2 - 3*z**3. Suppose -4*o + 12 = -4. Give u(o). 3 Let x(b) = 3*b**3 + 8*b**2 - 27*b - 1. Let f(p) = 7*p**3 + 16*p**2 - 58*p - 1. Let k(c) = -2*f(c) + 5*x(c). What is k(-10)? -13 Let p(a) be the third derivative of -5*a**4/24 + 57*a**2. What is p(4)? -20 Let b(n) = 2*n**2 - 8*n - 5. Let p be b(5). Let g = -7 + 11. Let h(q) = -g*q + 7*q**2 + 6 + 4*q - p. Determine h(-1). 8 Let n(k) = -7*k + 10. Let c(t) = -t**2 - 8*t - 9. Let s be c(-6). Determine n(s). -11 Let d = -15 + 7. Let f(p) = -13*p**3 - 3*p**2 + 4*p - 3. Let h(j) = -28*j**3 - 5*j**2 + 10*j - 7. Let q(u) = 13*f(u) - 6*h(u). Determine q(d). 3 Let d(b) = 7*b + 1 + 0*b - 2*b - 6*b. Let p(h) = -2*h**2 + 3*h - 4. Let j(v) = -4*d(v) - p(v). Suppose i = -i - 2. What is j(i)? 1 Let k(d) = d - 1. Let h be k(6). Let a = -15 + 9. Let c = h + a. Let m(n) = 7*n**3 + 2*n**2 + n. What is m(c)? -6 Let r(d) be the first derivative of -4*d**3/3 + 5*d**2/2 - 2*d + 52. Determine r(3). -23 Let g(o) = 1 + 2*o - 13*o**2 - 21*o**2 + 33*o**2 + 2. Give g(4). -5 Let y(z) = -z**3 + 11*z**2 + z - 9. Let s = -147 + 158. What is y(s)? 2 Suppose 20*y - 45 = 5*y. Let i(u) = 3*u**2 + 2*u - 9*u**2 + 5*u + u**y - 1. What is i(5)? 9 Let k(j) = 40*j + 46*j - 29 - 132*j + 44*j. What is k(-18)? 7 Let f(x) be the first derivative of x**4/4 - 7*x**3/3 + 5*x**2/2 + 7*x - 1. Suppose 25 = 5*v, t + 265 = 3*v + 256. Determine f(t). 1 Suppose 17*p - 34 = -0*p. Let a(u) = -u**3 + 2*u**2 - u + 1. Determine a(p). -1 Suppose 0*a = -a + 5*h + 7, -4*h = 3*a - 2. Suppose -t = -5*j - a, -2*j + 16 = 2*t - 0*j. Let q(l) = -l + 13 + 4*l - t. Give q(-5). -9 Let n = 10 - 16. Let j be (8/n)/((-6)/27). Let g(c) = 6 - c - 3 - 5. What is g(j)? -8 Let p(o) = -o**2. Let n(t) = -t**2 - 4*t - 5. Let c(h) = -n(h) + 2*p(h). Let y = 35 + -30. What is c(y)? 0 Let o(d) = -d**2 + 5. Let a(x) = 3*x + 1. Let t be a(-1). Let g be 24/(-16)*(28/6 + t). Determine o(g). -11 Let w(b) = -b**3 + 15. Let k(u) = -u**3 + 6*u**2 - 7*u + 10. Let i be k(5). Determine w(i). 15 Let r = 44 + -41. Let c be r/(7 - 4) - 1. Let m(b) = b**3 - 8. What is m(c)? -8 Let o(h) = h**2 - 7. Let n be o(-3). Let x(s) be the third derivative of 0*s + 5/24*s**4 + 0 + 1/6*s**3 + s**n. What is x(1)? 6 Let t(s) = -s**2 + 8*s + 2 + 0 + 2 - 6. Suppose 2*j - 3 = -q + 14, q - 1 = 0. What is t(j)? -2 Let f(q) = -2*q + 18 - 1 + 3*q**2 + 0*q - 2*q**2. Give f(0). 17 Let u(w) = -21*w + 364. Let o be u(17). Let r(b) = -b**3 + 7*b**2 - 2*b + 11. Determine r(o). -3 Let h = 1757 + -1754. Let f(i) = -i**3 + i**2 + 6*i - 2. Determine f(h). -2 Let j(k) be the second derivative of k**6/360 - k**5/24 + 5*k**4/24 - k**3 - 9*k. Let g(s) be the second derivative of j(s). What is g(4)? 1 Let b(f) = -1 + 28*f - 14*f + 3 - 8*f - 4*f. Let c(g) = 4*g**2 - g + 1. Let r be c(1). Suppose 0 = m + 3*t - 2, -4*t = -m - r - 8. Determine b(m). -6 Let l(n) = n**3 + 9*n**2 + n - 9. Let q be (12 + -21)/(2 + -1). Calculate l(q). -18 Let i(j) = -3*j**2 - 2*j + 3. Let g(v) = -v**2 + 23*v - 118. Let o be g(15). Determine i(o). -13 Let y(q) = q**2 + q + 1. Let z(p) = -5*p**2 - 10*p - 3. Let c(f) = 6*y(f) + z(f). Determine c(4). 3 Let u(h) = 1. Let c(z) be the second derivative of -z**3/6 + z**2 - 18*z. Let j(i) = -5*c(i) + 6*u(i). Give j(3). 11 Let g(f) be the third derivative of 4/3*f**3 - 13*f**2 - 1/120*f**6 + 0 + 0*f**5 - 1/24*f**4 + 0*f. What is g(0)? 8 Let v(x) = 7*x + 3. Suppose -77 = d + 3*p, 79 = -2*d - 2*p - 71. Let n = -53 - d. Let b be (-45)/n + (-1)/(-7). Calculate v(b). -11 Let a(o) = -782*o - 1 + 786*o + 0 - 2. Determine a(-2). -11 Suppose -6*y + 2*y = 0. Suppose y = -0*u + 4*u + p - 8, -3*u + 5 = p. Let l(x) = -x**3 + 2 + 4*x**u - 4*x**3 - x**2 - 2*x - 4*x**2. Determine l(-2). -6 Let p(i) = i + 3. Let w(s) = 1. Let y(x) = p(x) + 6*w(x). Suppose -8*a + 24 = -11*a. Determine y(a). 1 Let a(s) be the second de
{ "pile_set_name": "DM Mathematics" }
*c - 3*c = -41, 4 = -4*n + 4*c. Let y(o) = o**3 - 4*o**2 - o + 5. Let k be y(n). Let t(u) = 21*u**3 - u**2. Is t(k) a multiple of 15? False Let r(a) = 3*a - 1. Let p be r(1). Suppose 0*m = p*m - 8. Does 9 divide 120/9*9/m? False Let w be 1 - (-1 + (-436)/2). Let y be (4 - 0 - 5) + 4 - 1. Suppose 0 = -7*k + y*k + w. Is k a multiple of 11? True Let j(g) = -g + 1. Let v(h) = h + 6. Let a(u) = -j(u) + v(u). Is 9 a factor of a(11)? True Let v(p) = -2*p + 57. Suppose 3 = -3*b, -4*b = -3*i + 49 - 6. Suppose 15*j = i*j. Is 19 a factor of v(j)? True Is 117 a factor of -6 + ((-36)/(-60) - 10557/(-5))? True Suppose 3*w - 15 = -9. Let v = -2 + w. Suppose 3*h = -v + 9. Is h even? False Let p(o) = 7*o + 63. Let g(w) = -2*w - 21. Let z(j) = -8*g(j) - 3*p(j). Let q be z(-11). Suppose -q + 2 = -2*v. Is v a multiple of 5? False Let w be (3/(-6))/((-5)/(-20)). Let i = w - -5. Suppose 5*y + 5*d - 3*d - 23 = 0, -i*y = -4*d - 19. Does 5 divide y? True Let s(r) = 125*r**2 + 19*r - 9. Is 2 a factor of s(-3)? False Let i be 24/60 - 227/5. Let g = i + 158. Is 30 a factor of g? False Suppose -2*f - 2*f = 20, 0 = 3*y - f + 208. Let q = 46 - y. Does 13 divide q? True Let k(p) = -p**3 - 21*p**2 - 22*p - 8. Let a be k(-20). Suppose 120 = 4*m + a. Is m a multiple of 5? False Let p(o) = 5*o + 4. Let u be p(3). Suppose -8 = -n + 5*j + u, -j = -2*n + 9. Suppose 93 = n*v + 2*v + 5*y, 5*v = 2*y + 75. Is 17 a factor of v? True Let x = 40 - 177. Let l = x - -197. Is l a multiple of 15? True Suppose -3*b + 0*b = w - 11, -3*b + 21 = 3*w. Is 14 a factor of (0 + b)/(22/1617)? False Let l(q) = q**3 - 5*q**2 + 2*q - 2. Let t be l(4). Is (t/15)/((-6)/81) a multiple of 7? False Let f be (-100)/(-30) - (-2)/3. Suppose 0 = -4*p - f*y + 660, -5*p + y = -1176 + 351. Is 33 a factor of p? True Let q = -22 - -31. Let u = q - -47. Suppose f - u = -f. Is 7 a factor of f? True Let h(w) = w**3 + 36*w**2 - 96*w - 150. Is h(-38) a multiple of 15? False Let f = -528 + 1426. Is f a multiple of 23? False Is 54 + -1 - ((-14)/(-2) + -4) a multiple of 12? False Suppose 0*h + 25 = -5*u - h, 0 = 4*u - 5*h - 9. Let m = 1 - u. Suppose 0 = -5*v - 5*w - 0 - m, -v - 5*w = 21. Does 2 divide v? True Suppose -4*t + 7*t = 4896. Suppose 0*q = 17*q - t. Is 16 a factor of q? True Let x be (-41854)/(-272) - (-1)/8. Suppose 50 = o + g, 0*g + g - x = -3*o. Is o a multiple of 5? False Let w(t) = 38*t + 60. Is 11 a factor of w(10)? True Does 52 divide 1/2 + -2433*(-55)/66? True Suppose -2*f + 366 - 119 = -5*u, -4*f = -2*u - 534. Suppose -f = -2*i + 84. Is 20 a factor of i? False Does 14 divide (274/4)/(13/4 - 3)? False Let a = -33 - -19. Let p = a - -14. Suppose p = -9*o + 5*o + 176. Is 22 a factor of o? True Let q be 168/27 + (-4)/18. Let a be (q/9)/(5/15). Suppose -46 = -3*p + a. Is p a multiple of 16? True Let p = 2 + 5. Let n be 80/(-140) + 25/p. Suppose -2*m - 5*c + 155 = 0, -4*c = 2*m - n*c - 159. Is m a multiple of 11? False Let w = 1193 + -845. Suppose -x - 5*x + w = 0. Is x a multiple of 16? False Let s = -50 + -5. Let i = s + 85. Let h = -8 + i. Is h a multiple of 11? True Suppose -78*i + 604576 = 34*i. Does 29 divide i? False Let a = 344 + -152. Is 12 a factor of a? True Is 7 a factor of 526/6 - (-8 + (-207)/(-27))? False Let q(h) = 2*h**2 + h - 5. Let g be q(-5). Suppose g = 2*d - 16. Suppose 5*l = d - 3. Is l a multiple of 4? False Let f(w) = 23*w + 15. Does 59 divide f(25)? True Let n = 336 + -180. Is n a multiple of 13? True Let g = 3658 - 1778. Does 17 divide g? False Is 3 a factor of 8/6 - ((-225)/(-27) + -10)? True Let a(i) = -15 - 7*i**2 + 1 + 14*i + 6*i**2. Let p(n) = n**3 - 15*n**2 - 16*n + 9. Let f be p(16). Is 4 a factor of a(f)? False Suppose -5*d + 315 = 7*h - 2*h, 15 = -5*d. Suppose -4*a - 37 - 47 = 2*p, -3*a = 3*p + h. Is 18 a factor of 9/((-1)/a*4)? False Let y(g) be the third derivative of g**5/30 + 7*g**4/24 + 7*g**3/6 + g**2. Let v(t) = t**3 - 24*t**2 + 22*t + 18. Let j be v(23). Does 11 divide y(j)? True Let w = -184 + 520. Is 15 a factor of w? False Let r = 44 + -39. Suppose -3*s - 60 = -r*s. Is s a multiple of 6? True Let b be -6 + ((-2)/(-6) - (-2)/(-6)). Is (b - -3)/(9/(-534)) a multiple of 37? False Is 19 a factor of -1 + (-5 + 2456/12)*6? True Does 78 divide 512 + 5/(20/16)? False Suppose 25 = 5*w, -2*l - 3*w = -6*w - 111. Let x be -1 + 5 + 96/(-12). Is x/14 - (-4995)/l a multiple of 19? False Let v(w) = -w**3 - 5*w**2 - 4*w. Let o be v(-4). Suppose -q + 15 = -o*q. Suppose -g + 7 + q = 0. Is 19 a factor of g? False Let m = -1270 + 2514. Does 21 divide 5/(50/m) - 18/(-30)? False Let j(o) = -o - 4 + 0 + 3*o - 3*o. Let r be j(-8). Suppose -r*m = -263 - 17. Does 19 divide m? False Let w = -10 + 6. Let t be (-6)/((18/w)/3). Suppose -t = -i + 18. Does 11 divide i? True Let f = 18 - 13. Suppose -3*n - w = -19, -2*w - 12 = -5*n + f. Suppose -24 = -n*r + 16. Is r a multiple of 8? True Suppose 5*x - 18975 = -20*x. Is 69 a factor of x? True Suppose -10*d + 9*d = -2. Suppose d*c - 550 = -5*p, 64 = 3*p + 2*c - 262. Does 7 divide p? True Let y(p) = p**3 + 11*p**2 + 10*p - 7. Let f be y(-10). Let q be (f + 4)/((-9)/12). Suppose 120 - 8 = q*z. Does 14 divide z? True Let j = -348 - -238. Let f = -42 - j. Is 17 a factor of f? True Does 14 divide (-13 + 135/12)*-1240? True Suppose p - 15 = -2*p. Let y be ((-2)/(-4))/(p/(-730)). Let m = y - -126. Is m a multiple of 12? False Let m be -9*(-6)/3*-3. Is 11 a factor of (m/45)/((-4)/370)? False Let s(z) = 3*z - 13. Let v(c) = 9*c**2 + 3*c + 2. Let o = -29 - -28. Let l be v(o). Is 11 a factor of s(l)? True Let j(u) = u + 4. Let f(z) = z + 5. Let c(g) = -6*f(g) + 7*j(g). Let i be c(5). Suppose o - 11 = 3*v + 13, -i*o - 2*v = -50. Does 9 divide o? True Suppose -2 = -10*v + 12*v. Does 4 divide 44 + (3 - v) + (-6 - -3)? False Let l be (2/4)/(12/144). Let z(g) = g**2 - 5*g - 7. Let w be z(l). Is 29 a factor of 3 - w - 54/(-1)? True Let o(r) = -r**3 + 7*r**2 - 5. Let x = -16 - -28. Let m = 18 - x. Does 14 divide o(m)? False Suppose 2*m - j - 21 = 0, 0 = 3*m - 2*m + j - 3. Let a be ((-86)/8)/((-1)/m). Let g = a - 59. Does 14 divide g? False Suppose -10 = -s - s. Suppose g - 7 = s. Is 0/(-1) + 6 + g a multiple of 9? True Let a = -50 + 59. Suppose -4*b + a*b = -v + 96, 0 = 3*v + 4*b - 288. Does 6 divide v? True Suppose 3*y = -2*c + 50, 3*c - 4*c + 95 = 5*y. Does 20 divide y? True Suppose -44*d - 17438 = -58402. Does 10 divide d? False Suppose a - 48 = -3*a. Let q = -10 + a. Suppose -q = -o + 13. Is 15 a factor of o? True Let g = 16 - 9. Suppose g*n - 5*n = 160. Is 20 a factor of n? True Suppose -6*x + 3 = 33. Let c = x + 40. Is c a multiple of 5? True Suppose -7 = 2*x + o, x - 4*o + 18 = -8. Let r be x/(-15)*-1*20. Does 5 divide (92/r - 0)*-2? False Let b = 651 - 345. Is b a multiple of 9? True Suppose -2*b = -2*z + 342, z - 3*b + 7*b = 156. Is 14 a factor of z? True Let j = 33 + -19. Suppose -4*o + 2*t = -j, 3*t + 12 = 5*o - 6. Suppose 0 = -0*m + 2*m - q - 49, 3*m = o*q + 66. Is m a multiple of 8? False Let q(g) = -2*g**3 - 50*g**2 - 2*g - 29. Is q(-26) a multiple of 25? True Let b be (20/(-6) + 2)*-21. Suppose 282 = b*g - 26*g. Is 47 a factor of g? True Let b(l) = l**3 + 7*l**2 + 6*l + 5. Let f be b(-6). Suppose -2*c = -j + f, j + 2*c + 9 = -3*c. Is (-20)/(j - (-28)/(-20)) a multiple of 14? False Let n be -12*(33/9 + -4). Suppose -3*y = -n*y + 6. Does 5 divide y? False Let q = 364 + 628. Is q a multiple of 62? True Suppose -4*c = -362 + 94. Let y = -12 + c. Is 18 a factor of y? False Let o be 476/70 - 1/(-5). Let b(x) = 4*x**2 - 9*x + 3. Let u be b(o). Suppose -3*z + 144 = 3*n, -4*n = 5*z - 373 + u. Is z a multiple of 16? False Suppose -2*z - 3*z + 1469 = y, -5*z + 3*y + 1473 = 0. Is 21 a factor of z? True Suppose 27 = 5*r + 2. Suppose r*k - 93 = 2*k. Is 14 a factor of k? False Let v(l) = l**3 - 14*l**2 - 15*l + 8. Let k be v(15). Suppose -3*j - j + k = 0. Suppose -2*w + 156 = j*w. Is w a multiple of 18? False Suppose 2*r = 2*x - 24, -5*r + 12 - 40 = 3*x. Let n(g) = -8*g - 14. Is n(r) a multiple of 27? False Let v be (-34)/(-14) - (-12)/(-28). Suppose d = v*d. Is (-2 + d)/(8/(-36)) a multiple of 4? False Let t(f) = -25*f**3 - 2*f**2 - 2*f. Suppose 0 + 2 = -2*v. Is 12 a factor of t(v)? False Let b(j) be the third derivative of -25*j**4/12 + j**3/2 + 6*j**2. Let v be b
{ "pile_set_name": "DM Mathematics" }
. i**3*(i + 1) Let n(d) = -9*d**2 - 8*d - 9. Let f(l) = -4*l**2 - 4*l - 4. Suppose w - 5 = 3*w - b, -b = 3*w + 20. Let z(a) = w*f(a) + 2*n(a). Factor z(t). 2*(t + 1)**2 Let q(h) be the second derivative of h**8/504 - h**6/90 + h**4/36 + h**2 + h. Let n(d) be the first derivative of q(d). Find f such that n(f) = 0. -1, 0, 1 Find p such that p - 3*p - p - 8 - p + 4*p**2 = 0. -1, 2 Let b(f) be the first derivative of 2*f**6/3 + 4*f**5/5 - f**4 - 4*f**3/3 + 14. Let b(y) = 0. What is y? -1, 0, 1 Let d(m) = -11*m**2 - 5*m + 9. Let o(w) = -3*w + 3*w**2 - 10*w**2 + 5 + w**2. Let b(k) = -4*d(k) + 7*o(k). Factor b(n). (n - 1)*(2*n + 1) Let h(q) be the second derivative of -q**5/20 + 5*q**4/6 - 3*q**3/2 + 35*q. Factor h(f). -f*(f - 9)*(f - 1) Let z(h) be the third derivative of 0*h + 6*h**2 - 1/32*h**4 - 1/480*h**6 + 0 + 1/80*h**5 + 1/24*h**3. Factor z(p). -(p - 1)**3/4 Let l(q) = 2*q**2 + 2*q - 2. Let m be l(-2). Let g(d) = 2*d**3 - 11*d**2 + 6*d + 3. Let h(k) = k**3 - 5*k**2 + 3*k + 1. Let s(r) = m*g(r) - 5*h(r). Factor s(n). -(n - 1)**3 Let h = -7 - -9. Determine f so that 2/11*f**h + 0 + 4/11*f = 0. -2, 0 Let q(r) be the first derivative of -r**8/210 - r**7/630 + 13*r**6/2160 - r**5/360 + r**3 + 4. Let g(z) be the third derivative of q(z). Factor g(v). -v*(3*v + 2)*(4*v - 1)**2/6 Let s(j) be the first derivative of 1/15*j**3 - 2*j + 1 - 1/30*j**4 + 1/5*j**2 - 1/50*j**5. Let h(a) be the first derivative of s(a). Factor h(u). -2*(u - 1)*(u + 1)**2/5 Let 0 + 2/3*q**2 - 4/3*q = 0. Calculate q. 0, 2 Suppose i - 92 = -h - h, -3*h - 368 = -4*i. Factor -a**4 - a**4 - a**3 + i*a**5 - 93*a**5. -a**3*(a + 1)**2 Suppose -3*z + 2*s = -77, 0 = -4*z - 5*s + 20 + 52. Factor 0*f + 0*f - z*f**3 - 4*f**4 + 27*f**3. -4*f**3*(f - 1) Let t(v) be the first derivative of -v**6/48 - v**5/10 - v**4/32 + 7*v**3/12 + 5*v**2/4 + v - 47. Find y such that t(y) = 0. -2, -1, 2 Let j(o) be the second derivative of o**6/210 + o**5/140 - o**4/28 - o**3/42 + o**2/7 - 10*o. Factor j(r). (r - 1)**2*(r + 1)*(r + 2)/7 Let s(f) be the first derivative of -f**3/4 + 3*f + 9. Factor s(v). -3*(v - 2)*(v + 2)/4 Let l = 175 + -2099/12. Let b(z) be the second derivative of z - l*z**3 + 0 - 1/2*z**2 + 1/24*z**4. Factor b(i). (i - 2)*(i + 1)/2 Factor 3/7*w**5 + 0*w**4 + 3/7*w - 6/7*w**3 + 0 + 0*w**2. 3*w*(w - 1)**2*(w + 1)**2/7 Let g(o) be the third derivative of -1/60*o**5 - 2*o**2 + 0*o**4 + 0*o + 1/6*o**3 + 0. Factor g(v). -(v - 1)*(v + 1) Let t = 81 + -79. Factor 0*m**t + 0*m + 2/9*m**5 - 2/9*m**3 + 0*m**4 + 0. 2*m**3*(m - 1)*(m + 1)/9 Let r(v) be the first derivative of -v**4/12 + v**3/9 - 17. What is c in r(c) = 0? 0, 1 Factor -83*z**4 - z**5 + z**3 + 83*z**4. -z**3*(z - 1)*(z + 1) Let s(o) be the second derivative of o**4/4 + o**3/2 - 3*o**2 - 10*o. Factor s(q). 3*(q - 1)*(q + 2) Determine f, given that 10*f + 17*f + 51*f**4 - 15*f - 26*f**3 - 24*f**2 - 18*f**5 + 5*f**3 = 0. -2/3, 0, 1/2, 1, 2 Let j be 15/35*847/10. Let z = 73/2 - j. Factor -1/5*f**4 - 1/5*f**3 + 0 + z*f + 1/5*f**2. -f*(f - 1)*(f + 1)**2/5 Let c = -4 - -4. Suppose -5*w = -3*d, c = 5*w - 2*w + 3*d. Factor 0*y**4 + 0*y**2 - 1/2*y**5 - 1/2*y + y**3 + w. -y*(y - 1)**2*(y + 1)**2/2 Let l(x) be the first derivative of x**4/16 + x**3/12 + 16. Determine i so that l(i) = 0. -1, 0 Let d = 294 - 285. Factor 3/2*y**2 + d*y + 27/2. 3*(y + 3)**2/2 Let c(g) = -3*g**3 - 104*g**2 - 668*g + 7. Let l(n) = 2*n**3 + 70*n**2 + 445*n - 5. Let u(j) = -5*c(j) - 7*l(j). Factor u(m). m*(m + 15)**2 Let z(u) be the second derivative of -u**10/60480 + u**8/13440 - u**4/6 - 2*u. Let y(r) be the third derivative of z(r). Factor y(v). -v**3*(v - 1)*(v + 1)/2 Let o(w) = 9*w**3 - 5*w**2 - 18*w - 4. Let l(h) = 45*h**3 - 24*h**2 - 89*h - 20. Let v(n) = -2*l(n) + 11*o(n). Factor v(c). (c - 2)*(c + 1)*(9*c + 2) Let p(d) be the third derivative of 1/120*d**6 + 0 - 3/40*d**5 - 1/12*d**3 + 1/105*d**7 + 0*d + 11/96*d**4 + d**2. Suppose p(y) = 0. What is y? -2, 1/2 Let l(t) be the third derivative of 3*t**8/784 + t**7/49 + 3*t**6/70 + 3*t**5/70 + t**4/56 + 5*t**2. Find v such that l(v) = 0. -1, -1/3, 0 Factor -d**2 - d**4 + 2*d + 2*d**4 - 2*d**3 + 0*d**3 + 0*d. d*(d - 2)*(d - 1)*(d + 1) Let h(a) be the third derivative of -2*a**7/945 + a**6/54 - a**5/135 - 7*a**4/18 + 4*a**3/3 - 31*a**2. Solve h(v) = 0. -2, 1, 3 Suppose 11*g = 14*g. Let -1/3*l**2 - l**3 - 1/3*l**5 + g + 0*l - l**4 = 0. Calculate l. -1, 0 Factor 5*o**4 + 15/2*o**3 + 5/4*o**5 + 0 + 5*o**2 + 5/4*o. 5*o*(o + 1)**4/4 Let s(m) be the second derivative of 0*m**2 + 0*m**3 + 1/70*m**5 - 1/105*m**6 + 0 + 0*m**4 - 2*m. Factor s(w). -2*w**3*(w - 1)/7 Let h be (-25)/(-12) + (-15)/20*1. Factor h*m**2 + 0 - 2/3*m. 2*m*(2*m - 1)/3 Let l(y) be the third derivative of 1/120*y**5 + 0*y**4 + 0*y + 0 - 6*y**2 - 1/12*y**3. Solve l(v) = 0 for v. -1, 1 Let s(g) be the first derivative of -2*g**5/55 + 5*g**4/22 - 14*g**3/33 + 3*g**2/11 + 16. Factor s(a). -2*a*(a - 3)*(a - 1)**2/11 Suppose -z + 5 = -3*g, g + 6 = -2*g. Let k be 4*((-21)/(-12) + z). Suppose -2/11 - 2/11*m**4 + 4/11*m**2 + 4/11*m**k - 2/11*m - 2/11*m**5 = 0. What is m? -1, 1 Suppose -11 = -5*u + 9. Let x = -4 + u. Factor 0*k**2 + 4/3*k**5 - 2/3*k**3 - 2/3*k**4 + 0 + x*k. 2*k**3*(k - 1)*(2*k + 1)/3 Let f = 20 - 56/3. Solve 0 + 0*r - f*r**3 + 4/3*r**2 = 0 for r. 0, 1 Let -2*y - 6*y**3 - 24*y**2 + 2*y - 3*y**4 + 21*y**2 = 0. What is y? -1, 0 What is s in -48/7*s - 9*s**4 + 3*s**3 + 27/7*s**5 + 51/7*s**2 + 12/7 = 0? -1, 2/3, 1 Let k(n) be the first derivative of 0*n - 3/2*n**2 - 2 - n**3. Factor k(h). -3*h*(h + 1) Suppose -5*w + 1 = 2*s, 3*w - 12 = 5*s - 10*s. Let n(p) = -p. Let k be n(w). Let 0 + 3*b + k - b**3 - 3 = 0. Calculate b. -2, 1 Let c(t) = t**3 - t**2 + 3. Let g be c(0). Factor -2*h**5 + 23*h**3 + 0*h - 19*h**g - 2*h. -2*h*(h - 1)**2*(h + 1)**2 Let o(y) be the third derivative of y**6/180 + y**5/10 + 3*y**4/4 + y**3/6 - 5*y**2. Let r(a) be the first derivative of o(a). Let r(w) = 0. What is w? -3 Let t(m) be the first derivative of -4/3*m**3 - 3/2*m**4 + 0*m + 4 + 0*m**2 - 2/5*m**5. Factor t(x). -2*x**2*(x + 1)*(x + 2) Let l(m) be the second derivative of 0*m**3 + 0*m**2 + 1/36*m**4 + 1/30*m**5 + 0 + m + 1/90*m**6. Factor l(o). o**2*(o + 1)**2/3 Let t(i) be the third derivative of -i**8/24 + 2*i**7/7 - 5*i**6/6 + 4*i**5/3 - 5*i**4/4 + 2*i**3/3 - i**2. Factor t(r). -2*(r - 1)**4*(7*r - 2) Suppose -5*k - 4*q + 15 = -9*q, 0 = 2*k - 5*q - 6. Suppose -5*z = -4*d, 3*z = -2*d + 3*d. Solve 10/7*o**k - 8/7*o**4 - 2/7*o**2 + 0*o + z = 0. 0, 1/4, 1 Let r(z) be the second derivative of 1/36*z**4 + 0 - 1/60*z**5 - 1/6*z**2 + z + 1/18*z**3. Factor r(c). -(c - 1)**2*(c + 1)/3 Solve 1/2*h**3 + 1 + 2*h**2 + 5/2*h = 0 for h. -2, -1 Let g be 2*((-6)/(-4) - 0). Suppose -4 - 2*x**4 - 3 - 12*x**g + 4 - 26*x**2 - 24*x - 5 = 0. What is x? -2, -1 Suppose -5*x - 5*u + 20 = 0, -4*u = x - 20 + 4. Let 0 + x*k - 1/2*k**2 = 0. Calculate k. 0 Let h be ((-1)/(15/(-9)))/(2 - 1). Factor 0*d - 6/5*d**2 + 3/5*d**4 + 0*d**3 + h. 3*(d - 1)**2*(d + 1)**2/5 Let o(k) be the first derivative of -15*k**4/2 - 34*k**3/3 - 2*k**2 + 24. Determine i so that o(i) = 0. -1, -2/15, 0 Let p(h) be the first derivative of h**6/1260 + h**5/420 - 4*h**3/3 - 4. Let d(o) be the third derivative of p(o). Factor d(u). 2*u*(u + 1)/7 Factor -125/3 - 5/3*f**2 + 50/3*f. -5*(f - 5)**2/3 Find l such that 0 + 5/3*l**2 + 4/3*l**3 + 2/3*l + 1/3*l**4 = 0. -2, -1, 0 Suppose 0 = -5*g - 3*k + 7, 22*g - 23*g = 2*k. Factor g*h**2 + 2/3*h**3 + 2/3 + 2*h. 2*(h + 1)**3/3 Let r = -235/4 + 59. Let 0*m**3 + 0 + r*m**2 - 1/4*m**4 + 0*m = 0. Calculate m. -1, 0, 1 Let i(c) be the second derivative of -c**4/30 - 2*c**3/15 - c**2/5 + 4*c. Suppose i(u) = 0. What is u? -1 Let o(z) = -z**4 + 3*z**3 - 7*z**2 - 11*z + 11. Let l(k) = -k**4 + k**3 - 3*k**2 - 5*k + 5. Let s = 4 + -7. Let u(n) = s*o(n) + 5*l(n). Factor u(m). -2*(m - 1)**2*(m + 2)**2 Suppose 0 = -5*y - 3*y + 32. Find v, given that -2*v**y - 2/3*v**2 - 2*v**3 - 2/3*v**5 + 0*v + 0 = 0. -1, 0 Let w be 2*(-3)/(-3)*1. Factor 3*b + 3*b**3 - 3*b + 6*b**w + 0*b + 3*b. 3*b*(b + 1)**2 Suppose -q + 23 = -4*y, 5*y + q = -39 + 8. Let b be 12/(-10)*15/y. Factor 0*n**b + 4*n**5 - n**3 - 3*n**5 + n**2 - n**4. n**2*(n - 1)**2*(n + 1) Let b(m) be the third derivative of -m**8/112 + m**7/35 + m**6/10
{ "pile_set_name": "DM Mathematics" }
iggest value? (a) -2/5 (b) 162.3 (c) 4 (d) 5 (e) 0.1 (f) -0.5 e What is the second smallest value in 6, -9, -34, -7, 0.2? -9 What is the fourth smallest value in -5, 6/55, 15, 2, -0.1? 2 What is the fifth biggest value in -4, -1, -2/13, -0.2, 2? -4 What is the third biggest value in 2, 1/19, -12? -12 Which is the second biggest value? (a) -0.5 (b) 9 (c) -1/28 (d) -2/23 c What is the biggest value in -2/19, 3/44, 0.118, 0.5? 0.5 Which is the third smallest value? (a) 11 (b) -1 (c) 1/5 (d) 1/18 (e) -0.3 (f) 1 d Which is the third biggest value? (a) -2 (b) 0.01 (c) -15 (d) -0.2 (e) 181 d Which is the fourth biggest value? (a) 2 (b) -113.3 (c) -5 (d) -0.5 (e) -3 (f) 1/4 e What is the second biggest value in -6/11, 1/9, 3/5, -0.9, -47, 0.2? 0.2 What is the smallest value in 2, -1, 2/17, 0.9, -25? -25 Which is the third biggest value? (a) 4 (b) -10 (c) 2/7 (d) -1/2 d What is the fifth smallest value in 0.5, -25, -1, 5, -5? 5 What is the biggest value in -2/1263, 0.5, -0.7, -4, 23? 23 What is the sixth smallest value in -0.5, 8, 41, 3, 1/2, 0.1? 41 Which is the third smallest value? (a) 0.1 (b) -2/7 (c) -84 (d) 4/3 (e) -0.1 (f) 1/4 e Which is the smallest value? (a) -8 (b) -4 (c) 840 a Which is the third biggest value? (a) -233 (b) -0.4 (c) -2 (d) 3 c What is the fifth biggest value in -89, 7, 0.7, -0.5, -1/5, 0? -0.5 What is the second smallest value in -2/4153, 0.8, -4? -2/4153 What is the fifth biggest value in 4/5, -2, -0.2, 416, 3, -4? -2 Which is the fifth biggest value? (a) 1 (b) 3/7 (c) -0.02 (d) 3 (e) 1/6 (f) 4 e Which is the third smallest value? (a) 4 (b) 3 (c) -4.13 (d) -1/3 (e) 2 e What is the second biggest value in 12, 5, -73? 5 What is the fifth biggest value in -0.02, 2, -5, 2535, 1/2? -5 What is the second biggest value in 0.4, -0.3, -0.037, -0.1, -10, 1/6? 1/6 What is the fifth biggest value in -3, -1/8, -0.2, 65, 0.08? -3 Which is the second biggest value? (a) -2 (b) -9019 (c) -0.3 a What is the second smallest value in -1, -1/9, -0.3, 1000? -0.3 What is the second smallest value in -6.3, -0.812, -0.02? -0.812 Which is the third biggest value? (a) -0.2 (b) -74 (c) -3/4 (d) 11 (e) -0.1 a Which is the second smallest value? (a) -137 (b) -12/11 (c) -3 c What is the biggest value in 3/8, 101, 0? 101 Which is the third smallest value? (a) 2/35 (b) 4/9 (c) -5 (d) -4 (e) -0.6 (f) -1/5 e What is the fourth biggest value in -4, 0.95, 2/9, -1.8? -4 What is the fifth smallest value in 3, 0, 0.5, 0.31, -3, -16? 0.5 Which is the third smallest value? (a) -1.45 (b) -2/5 (c) 1/15 c What is the third biggest value in -24, 1/37, -1/4, 5? -1/4 What is the smallest value in -5, -4, -0.02, -42, 0.0381? -42 Which is the biggest value? (a) -2 (b) 176.3 (c) 1 b Which is the third biggest value? (a) 5 (b) 0.1 (c) 2/15 (d) 5/2 (e) -0.5 (f) -104 c Which is the fourth biggest value? (a) 0 (b) -1/27 (c) 0.4 (d) -0.1 d What is the third smallest value in 25, 3, -4, 2, 1, 9? 2 Which is the second biggest value? (a) -137 (b) 2 (c) 343 b Which is the biggest value? (a) 14 (b) 52 (c) 25 b Which is the fifth smallest value? (a) 2 (b) 12/11 (c) -5 (d) 1/22 (e) 0 (f) 2/9 b What is the second biggest value in -45, -124, -4? -45 What is the biggest value in -3, -3/4, 5, -1, -605? 5 What is the biggest value in 3458, 0.5, 4, -0.042? 3458 What is the fourth biggest value in -32, 3/5, -2, 15/8, -13? -13 What is the third smallest value in 792.7, -0.1, 0? 792.7 What is the fourth biggest value in -1.86, 5, -2/5, -5, 1/6, -3/4? -3/4 What is the fourth smallest value in 232, -0.07, -0.4, 1/5? 232 Which is the second smallest value? (a) 5 (b) 2 (c) -1 (d) -27 (e) 0.6 (f) 0.3 c Which is the smallest value? (a) -5 (b) 96/7 (c) -74.5 c Which is the biggest value? (a) -1/8 (b) 12081 (c) -0.7 (d) 3/5 b Which is the smallest value? (a) 6 (b) -2 (c) -0.229 (d) -1 (e) -6/5 b Which is the sixth smallest value? (a) 1 (b) -7/4 (c) -6 (d) -3 (e) 2 (f) 1/4 e Which is the fourth biggest value? (a) 4 (b) -8/3 (c) -2 (d) 0 (e) 0.5 c Which is the third biggest value? (a) -0.4 (b) -6.09 (c) -4/7 b What is the fifth biggest value in -11, -1.1, -0.4, 17/5, 2? -11 Which is the second smallest value? (a) 0.17 (b) -0.4 (c) 337 a What is the biggest value in 4, 0.1, -4, 2, 18/11? 4 Which is the fourth biggest value? (a) -24 (b) -2/5 (c) 0.5 (d) 0.1 (e) 7/5 b Which is the biggest value? (a) 2/19 (b) 1/8 (c) 0 (d) -2/5 (e) -571 (f) 2/7 f Which is the smallest value? (a) -1/4 (b) -109/68 (c) 3 b Which is the smallest value? (a) -3/73 (b) 5 (c) -1 (d) 8 (e) -0.4 (f) -30 f Which is the third biggest value? (a) -0.1 (b) 0.4 (c) -4 (d) -17 (e) -0.2 (f) 4/3 a Which is the smallest value? (a) -0.08 (b) 1/1843 (c) 0 a Which is the smallest value? (a) 0 (b) -3.75 (c) -0.14 b Which is the third biggest value? (a) 5 (b) -0.2 (c) 1.317 (d) -0.5 (e) -0.3 b Which is the biggest value? (a) -826 (b) -19 (c) 0.031 c What is the third smallest value in 0.5, 1/10749, -3/44? 0.5 Which is the second biggest value? (a) -3 (b) 1/3 (c) -171/4 (d) -2 (e) -13 (f) 4 b Which is the fifth biggest value? (a) 0.43 (b) 96 (c) -1.2 (d) 1 (e) -1/2 c What is the third biggest value in -7/4, -0.5, 492? -7/4 Which is the sixth smallest value? (a) 2 (b) -13 (c) 6 (d) -37 (e) 2/5 (f) 5 c Which is the third biggest value? (a) -3 (b) 16 (c) 2/15 (d) 2/7 (e) 2/39 c What is the biggest value in 0.2, 0.682, -0.3, 8, 1? 8 What is the biggest value in 5, -162, 1/10, -5? 5 What is the second smallest value in -168/5, -3/2, 2.8, -1, 1? -3/2 What is the biggest value in -0.3, 0.14295, 3/44? 0.14295 Which is the second biggest value? (a) 1/2 (b) 0 (c) -0.06 (d) 16/153 (e) -3/7 d What is the smallest value in -3, -2, -2/31, -9, -4/11, -4? -9 Which is the third biggest value? (a) -5 (b) -0.04 (c) -2/5 (d) -0.2 (e) 12.4 d Which is the biggest value? (a) -4 (b) 1/5 (c) 1/4 (d) 2 (e) 1425 e Which is the sixth smallest value? (a) 4/9 (b) 0.01 (c) 5/43 (d) -4 (e) 14 (f) 3/2 e What is the second smallest value in 6902, -5/3, -1.5? -1.5 What is the second biggest value in -971/94, 4/5, -3? -3 What is the third biggest value in -10, -1.8, 2/65? -10 What is the second smallest value in -0.379, -43, -4? -4 Which is the fourth biggest value? (a) -60 (b) -1/11 (c) -336 (d) -3.2 c What is the fourth biggest value in -4, -1/4742, -5, -1/5, 4, 1? -1/5 What is the third biggest value in -437.4, 1/2, -0.03? -437.4 What is the fourth biggest value in 2, 59/3, 0, -5/2? -5/2 Which is the smallest value? (a) -4 (b) 4 (c) 0.01482899 a Which is the third biggest value? (a) -77 (b) -0.2 (c) 145 a Which is the fourth biggest value? (a) -5 (b) 11 (c) -1.18 (d) -29.4 d Which is the fourth biggest value? (a) 788 (b) -2/35 (c) -0.3 (d) 5 (e) -3 c Which is the fourth biggest value? (a) 4 (b) 4/5 (c) -0.01 (d) -0.02607 d What is the second biggest value in 2, -5, -1, -4436? -1 What is the third biggest value in -106, -1/2, -2/25, 1/3? -1/2 What is the third biggest value in -62, 0.1, -3/37? -62 What is the smallest value in -2.6, -12014, -0.4? -12014 What is the smallest value in -4, 17, 3, -0.4, 0.2, 52/7? -4 Which is the third biggest value? (a) 3 (b) -678 (c) 3/8 (d) 0.12 d What is the fifth biggest value in -5, -0.4, -0.1, 3/2, -10/11? -5 Which is the biggest value? (a) -808 (b) -4/5 (c) 3 c What is the smallest value in 36, 528, 11? 11 Which is the second biggest value? (a) 2/9 (b) 0.14 (c) 1/2 (d) -5 (e) -20 (f) 0.4 f Which is the biggest value? (a) -1.5 (b) -4 (c) -1 (d) -0.92 d Which is the second smallest value? (a) -0.3 (b) 530 (c) 3 c What is the second smallest value in 327/4, -0.04, -0.4? -0.04 Which is the third smallest value? (a) 138.3 (b) 15/8 (c) -0.4 a What is the second smallest value in 2/11, -0.1, 3, -208? -0.1 What is the smallest value in 6/7, 2/9, 1, 2? 2/9 Which is the fourth biggest value? (a) -322 (b) 2/17 (c) -0.5 (d) -32/3 a Which is the fourth biggest value? (a) -1 (b) -7 (c) -4 (d) -194 d What is the fourth biggest value in -4, -4/7, -0.12, 1.2, 4? -4/7 Which is the second bigge
{ "pile_set_name": "DM Mathematics" }
ng 1 k and 1 q when two letters picked without replacement from qkloummkqkquoqqkq? 3/17 Calculate prob of picking 1 p, 2 f, and 1 b when four letters picked without replacement from {f: 3, p: 1, b: 2, n: 3, u: 1, a: 1}. 1/55 Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiii. 1 What is prob of picking 1 u and 1 e when two letters picked without replacement from uuuddueudededduude? 28/153 Calculate prob of picking 1 x and 2 g when three letters picked without replacement from {r: 4, k: 2, g: 2, b: 1, x: 10}. 10/969 Four letters picked without replacement from {k: 5, u: 8}. Give prob of picking 4 u. 14/143 What is prob of picking 1 n and 1 z when two letters picked without replacement from zcxmmcnmcxxncxzxzn? 1/17 Two letters picked without replacement from tuuft. What is prob of picking 1 t and 1 f? 1/5 Two letters picked without replacement from xxxxxx. Give prob of picking 2 x. 1 Three letters picked without replacement from {x: 3, t: 5, k: 3}. Give prob of picking 2 t and 1 k. 2/11 Two letters picked without replacement from {w: 2, t: 1, r: 2, n: 6, a: 6}. What is prob of picking 2 t? 0 What is prob of picking 1 y and 1 p when two letters picked without replacement from zpbzzzzzzzybz? 1/78 Four letters picked without replacement from eepeeuzuugu. Give prob of picking 2 u, 1 g, and 1 e. 4/55 Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, m: 1}. 1/3 Three letters picked without replacement from {h: 1, n: 5, i: 1, d: 1, k: 1, a: 11}. Give prob of picking 1 i and 2 n. 1/114 Three letters picked without replacement from {g: 2, r: 4, o: 3, b: 1, h: 1}. What is prob of picking 1 g, 1 b, and 1 r? 8/165 What is prob of picking 2 w, 1 s, and 1 q when four letters picked without replacement from wmsqqw? 2/15 Two letters picked without replacement from kkkkkkkkkvkvvkkkkkkv. What is prob of picking 2 v? 3/95 What is prob of picking 2 m and 1 q when three letters picked without replacement from {q: 2, m: 4}? 3/5 What is prob of picking 2 y when two letters picked without replacement from qooiyoy? 1/21 What is prob of picking 1 m and 1 g when two letters picked without replacement from glhsmll? 1/21 What is prob of picking 1 e and 1 a when two letters picked without replacement from aaaaeaeeeaeae? 7/13 Calculate prob of picking 3 l when three letters picked without replacement from {l: 9, t: 9}. 7/68 Calculate prob of picking 2 e when two letters picked without replacement from {e: 7, l: 9}. 7/40 Four letters picked without replacement from {g: 2, a: 14, t: 1, j: 2, l: 1}. Give prob of picking 1 l, 2 j, and 1 t. 1/4845 Calculate prob of picking 3 v and 1 n when four letters picked without replacement from nynnyyvnnnvynvnvv. 4/119 Two letters picked without replacement from {q: 1, i: 1, m: 3, b: 2, f: 3, n: 2}. Give prob of picking 1 n and 1 b. 2/33 Three letters picked without replacement from {c: 10, q: 1, x: 1, m: 1}. Give prob of picking 1 c, 1 q, and 1 x. 5/143 Calculate prob of picking 1 p, 1 u, and 2 k when four letters picked without replacement from zqjkuzjpq. 0 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from otwwtnqrwwqqwtq. 4/105 What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 3, y: 2, c: 1, z: 1, l: 5, w: 1}? 1/26 Two letters picked without replacement from llclccfllcffl. Give prob of picking 2 l. 5/26 Calculate prob of picking 2 w, 1 j, and 1 l when four letters picked without replacement from wlllwljaj. 4/63 Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {v: 2, n: 1, o: 1, s: 2, t: 1}. 1/21 Two letters picked without replacement from yycycy. Give prob of picking 1 c and 1 y. 8/15 What is prob of picking 1 r and 2 i when three letters picked without replacement from mmoirmimmiimmml? 6/455 Calculate prob of picking 2 y, 1 b, and 1 a when four letters picked without replacement from {y: 2, n: 4, z: 1, a: 1, b: 6, m: 1}. 2/455 What is prob of picking 2 m when two letters picked without replacement from mgmqjarjrjjjmrj? 1/35 What is prob of picking 1 w and 1 n when two letters picked without replacement from njw? 1/3 Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {j: 3, m: 8}. 24/55 Four letters picked without replacement from {r: 2, j: 1, c: 1, f: 5}. Give prob of picking 3 f and 1 j. 5/63 Four letters picked without replacement from {a: 3, e: 11, f: 4}. Give prob of picking 1 f and 3 e. 11/51 What is prob of picking 2 g when two letters picked without replacement from {i: 14, g: 5}? 10/171 What is prob of picking 4 y when four letters picked without replacement from {h: 8, y: 1, a: 11}? 0 Calculate prob of picking 2 q, 1 n, and 1 i when four letters picked without replacement from {n: 1, q: 4, t: 2, i: 2, v: 1, m: 2}. 4/165 Four letters picked without replacement from bbbbzwzwbzwbzbwwwbzw. Give prob of picking 2 z and 2 b. 56/969 Calculate prob of picking 3 c when three letters picked without replacement from ncnnccc. 4/35 Calculate prob of picking 1 k, 2 h, and 1 e when four letters picked without replacement from {k: 2, i: 1, l: 2, b: 1, e: 1, h: 13}. 52/1615 Two letters picked without replacement from txqdxfvqqfvfxqq. What is prob of picking 1 t and 1 d? 1/105 Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {m: 8, k: 2, w: 2}. 1/110 Two letters picked without replacement from {x: 6, h: 5, w: 2, m: 1, p: 1, r: 2}. Give prob of picking 2 r. 1/136 What is prob of picking 3 f and 1 v when four letters picked without replacement from qvffqff? 4/35 Three letters picked without replacement from {e: 1, x: 4, s: 3}. What is prob of picking 3 x? 1/14 Three letters picked without replacement from {y: 1, s: 1, n: 7, u: 10, z: 1}. What is prob of picking 1 z, 1 u, and 1 s? 1/114 Two letters picked without replacement from {o: 1, l: 1, m: 1, c: 2}. What is prob of picking 1 c and 1 m? 1/5 Three letters picked without replacement from ppthqji. Give prob of picking 1 j, 1 t, and 1 q. 1/35 Two letters picked without replacement from {o: 3, k: 4}. What is prob of picking 2 o? 1/7 Calculate prob of picking 1 g, 1 e, and 1 i when three letters picked without replacement from {c: 3, i: 2, e: 4, g: 1, u: 1, n: 1}. 2/55 Four letters picked without replacement from fyfyffyf. What is prob of picking 4 f? 1/14 What is prob of picking 3 h when three letters picked without replacement from {p: 7, r: 6, h: 5, c: 1}? 10/969 Two letters picked without replacement from {k: 3, r: 2}. What is prob of picking 2 r? 1/10 What is prob of picking 1 y, 1 t, and 1 i when three letters picked without replacement from {i: 4, t: 3, y: 1}? 3/14 What is prob of picking 2 y, 1 v, and 1 c when four letters picked without replacement from gahyvcgvh? 0 Two letters picked without replacement from {w: 5, p: 1, c: 3, t: 1, v: 3}. What is prob of picking 1 p and 1 v? 1/26 What is prob of picking 1 j and 1 m when two letters picked without replacement from {j: 2, m: 5}? 10/21 Two letters picked without replacement from iifvzeifezffzeev. What is prob of picking 2 i? 1/40 What is prob of picking 3 c when three letters picked without replacement from jrrcrbrrcrrjrrbjrjcj? 1/1140 Four letters picked without replacement from {o: 3, h: 5, x: 5}. What is prob of picking 1 h and 3 o? 1/143 Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, i: 14}. 2/51 What is prob of picking 1 e and 3 x when four letters picked without replacement from {x: 4, e: 16}? 64/4845 Three letters picked without replacement from {k: 1, a: 2, z: 1, m: 5, d: 2, s: 2}. What is prob of picking 1 d, 1 m, and 1 k? 5/143 Calculate prob of picking 1 c and 1 x when two letters picked without replacement from cccxcxxcxccxx. 7/13 Three letters picked without replacement from {o: 2, c: 2, w: 2, g: 2, y: 4}. What is prob of picking 2 y and 1 o? 3/55 Two letters picked without replacement from rwrrwwrro. What is prob of picking 2 r? 5/18 What is prob of picking 2 f and 1 s when three letters picked without replacement from fslssff? 9/35 What is prob of picking 1 a and 1 y when two letters picked without replacement from aaaayaya
{ "pile_set_name": "DM Mathematics" }
109046*y**2? -35496*y + 102 Find the first derivative of -203*q**3*x**3 + 5*q**3 + 19129*q**2 - 67*q*x**3 - q wrt x. -609*q**3*x**2 - 201*q*x**2 What is the second derivative of -15*x**5 + 5*x**4 + 409*x**2 - 227460*x? -300*x**3 + 60*x**2 + 818 What is the second derivative of -3*b**3*m**2 - b**3 - 2*b*m**2 - 3191*m**2 - 180554*m + 2 wrt m? -6*b**3 - 4*b - 6382 Find the third derivative of -15*f*g**3*w - 2*f*g**3 + 3*f*g**2 + 3*g**3 - 5892*g**2*w wrt g. -90*f*w - 12*f + 18 What is the third derivative of 2*g**2*k**4 - 137*g**2*k**3 + 2*g**2*k + 12158*g*k**2 + 8*k**4 wrt k? 48*g**2*k - 822*g**2 + 192*k Differentiate 7578*r**4 - 12165 wrt r. 30312*r**3 What is the first derivative of 3*h**2*k**2 + 389*h**2 + 8464*h*k**4 + 3*h*k - 387 wrt k? 6*h**2*k + 33856*h*k**3 + 3*h Find the second derivative of 303*k*v**4 + 2*k*v**3 + 2*k*v**2 + 2*k*v + k + 755 wrt v. 3636*k*v**2 + 12*k*v + 4*k What is the third derivative of -27*i**2*s**3 - 2*i**2*s**2 - 32*i*s**3 + 22179*i*s**2 - 4*s**4 + s**3 wrt s? -162*i**2 - 192*i - 96*s + 6 Differentiate -112353*f**3 - 108408 with respect to f. -337059*f**2 What is the third derivative of -16553*r**5 + 3*r**4 + 2*r**3 - 3341124*r**2 wrt r? -993180*r**2 + 72*r + 12 What is the third derivative of -78226*v**5 + 1335*v**2 - 23? -4693560*v**2 Find the second derivative of 2469013*j**4 - 2042898*j wrt j. 29628156*j**2 Find the first derivative of -35113*b*t - 3*b - 34*t - 5490 wrt b. -35113*t - 3 Find the second derivative of -5*b**5 - 661*b**3*w + 116*b**3 + 5*b*w - 4*b + 127*w + 64 wrt b. -100*b**3 - 3966*b*w + 696*b Find the first derivative of 111*d**3 - 36*d**2 + 29695. 333*d**2 - 72*d Find the third derivative of -3248665*z**3 - 571*z**2 - 278*z - 2. -19491990 What is the third derivative of 1343506*j**2*t**3 - 4*j**2*t**2 + j**2 - 350*j + 40*t**2 wrt t? 8061036*j**2 What is the first derivative of -3836*j**2 - 46*j + 61652? -7672*j - 46 What is the second derivative of -2800077*d**3 - 24836*d - 6? -16800462*d Find the first derivative of 4229*h**3 + 3*h**2 - 14040 wrt h. 12687*h**2 + 6*h Find the first derivative of -o**2*t - 4*o**2 - 2*o*t + 888*o + 1074*t + 3 wrt t. -o**2 - 2*o + 1074 Find the first derivative of -6*v**4 + 224*v**3 + 66*v**2 + 530251. -24*v**3 + 672*v**2 + 132*v What is the third derivative of -18147*g**3*u**3 + g**3*u**2 + 11*g**3*u - 6*g**3 + 3*g**2*u**3 - u**2 wrt u? -108882*g**3 + 18*g**2 Find the second derivative of 4099522*a**2 + 3*a + 65623. 8199044 Differentiate 224*p**3 - 14*p**2 - 27581 wrt p. 672*p**2 - 28*p What is the second derivative of -58*b**2*n**2 - 4*b**2*n + 493*b**2 - 18*b*n**2 - 4*n**2 - 4 wrt b? -116*n**2 - 8*n + 986 Find the second derivative of 3083498*m**2 + 2203336*m. 6166996 Find the first derivative of u**4 + u**3 + 365*u**2 - 307*u + 313561. 4*u**3 + 3*u**2 + 730*u - 307 Find the third derivative of -1828190*c**3 - c**2 + 1521*c - 7 wrt c. -10969140 Find the second derivative of 129726*t**2 - 5336*t + 12. 259452 What is the first derivative of 68685*n**4 + 10484? 274740*n**3 What is the derivative of -43017*z - 73510 wrt z? -43017 Differentiate 98289*a**3 + 37107. 294867*a**2 What is the derivative of 3*b*d**3 + 44*b*d**2 - 3*b*d + 167*b + 479015*d**3 wrt b? 3*d**3 + 44*d**2 - 3*d + 167 What is the first derivative of -145*j**4 + 12*j**2*y**2 - 5*j**2*y - 175218*y**2 + 2*y wrt j? -580*j**3 + 24*j*y**2 - 10*j*y Find the third derivative of -66029*f**3 + 35085*f**2 wrt f. -396174 Find the third derivative of 164069*y**4 + 411*y**2 + 185*y wrt y. 3937656*y Find the third derivative of 4*f**3*n**2 + 181*f**3*w - 12*f**3 - f**2*n**2 + 4*f*n**2*w + 446*f*n*w wrt f. 24*n**2 + 1086*w - 72 Find the third derivative of 2*k**4*m**3 - 165506*k**4 - k**2*m**3 - 227*k**2*m - m**3 + 58*m + 1 wrt k. 48*k*m**3 - 3972144*k Find the second derivative of -102444*b**2*w + 185*b*w - 2*w + 237 wrt b. -204888*w What is the derivative of -2*n**3*p*t + 51*n**3*p + 535*n**3*t - 2*n**3 - 6*n**2*p - 2*n*p - 38*n*t - 7*p wrt t? -2*n**3*p + 535*n**3 - 38*n Find the second derivative of -9887*v**4 + 13*v**2 + 412661*v wrt v. -118644*v**2 + 26 What is the third derivative of -9127*f**5*m**2 + 14*f**2*m**2 + 525*f**2 wrt f? -547620*f**2*m**2 Find the third derivative of -123*u**6 + 3*u**4 + 126*u**3 + 2739*u**2 + 36*u - 2 wrt u. -14760*u**3 + 72*u + 756 What is the third derivative of -669414*s**3 + 2674*s**2 - 90*s wrt s? -4016484 What is the third derivative of -71*d**4 - 370*d**3 - 71296*d**2 wrt d? -1704*d - 2220 What is the first derivative of 9*l**2*s - 1600*l*s**2 + 834*s**2 - 3 wrt l? 18*l*s - 1600*s**2 What is the second derivative of 658*b**3*y**2 - b**3*y - 437*b**3 - 50*b**2*y**3 + 3*b**2*y + 5*b wrt y? 1316*b**3 - 300*b**2*y What is the second derivative of 112*k*q**3 + 54*k*q**2 - k*q - k - 9*q**3 - q**2 + 10*q + 13001 wrt q? 672*k*q + 108*k - 54*q - 2 What is the third derivative of -98134*p**3 + 1745*p**2 - 7*p - 2 wrt p? -588804 Find the first derivative of -718481*k**2 + 591811 wrt k. -1436962*k What is the first derivative of -805*a**3*p - 871*a**3 - 1464823*p wrt a? -2415*a**2*p - 2613*a**2 What is the second derivative of 8*b**3 + 3410*b**2*m**2 - 3060*b*m**2 - b*m - 2*m**2 wrt b? 48*b + 6820*m**2 Find the third derivative of -3*k**3*n**3*x**2 + k**3*n**2 - k**2*n - 221*k*n**3*x - 23*k*n**2*x + 138*k*x**2 + 2*n**3 wrt n. -18*k**3*x**2 - 1326*k*x + 12 Find the second derivative of -15*m**4 - 202750*m**2 + 1989*m - 8. -180*m**2 - 405500 Find the third derivative of -123930*k**3 + 12557*k**2 + 2*k. -743580 What is the first derivative of 8*m**3*u - 26352*m**3 - 60*m*u - 5*u**2 wrt u? 8*m**3 - 60*m - 10*u Find the second derivative of -27147*d**5 + 718505*d. -542940*d**3 What is the derivative of -3*o**2*t**3 - 7249*o*t**3 + 2*o + 67300*t**3 wrt o? -6*o*t**3 - 7249*t**3 + 2 What is the second derivative of 37735*q**2 + 15052*q wrt q? 75470 What is the second derivative of 497*j**3*s**2 - 6*j**3*s + 41*j**3 + 3*j**2*s - j*s + 8*s**2 wrt s? 994*j**3 + 16 Differentiate 226577*l*w - 905445*l + 3*w with respect to w. 226577*l + 3 What is the third derivative of 65858*o**5 - 6*o**2 - 31*o - 1? 3951480*o**2 Find the third derivative of 42089*y**4 + 2*y**2 - 592787*y. 1010136*y What is the third derivative of 116254*z**4 - z**3 - 229322*z**2? 2790096*z - 6 What is the derivative of 123*b**3*o + 451*b**3*v*x - b*v - 14*o*v*x + 8*o*v + v wrt x? 451*b**3*v - 14*o*v What is the second derivative of 5*b*d**3 + b*d**2 - 4*b*d - 162*b + 2*d**3 + 519*d**2 - 4*d - 11 wrt d? 30*b*d + 2*b + 12*d + 1038 What is the first derivative of -109202*p**2*s + 5*p**2 + p*s - p + 10744 wrt s? -109202*p**2 + p Find the third derivative of -w**6 - 104*w**5 + 8*w**3 + 478*w**2 - 9*w wrt w. -120*w**3 - 6240*w**2 + 48 Find the second derivative of 12718*v**3 - 24668*v wrt v. 76308*v Find the third derivative of 60734*h**5*j**3 + h**4*j**2 + 3694*h**2*j**3 + h**2 + 5*h*j**3 - 3*j**3 wrt h. 3644040*h**2*j**3 + 24*h*j**2 Find the second derivative of -43260*i**3 - 1738*i + 6 wrt i. -259560*i Find the first derivative of 2*r*s*t - 83*r*s - 724*r*t + r + 52007*s*t - 2*s + 2*t wrt r. 2*s*t - 83*s - 724*t + 1 Find the third derivative of 5798*k**3*p**2*s + 8*k**3*s**2 - 3*k**3 + k**2*p**2*s + 301*k**2*p**2 - k**2*s**2 - 8*k*p**2 + p**2*s**2 - s wrt k. 34788*p**2*s + 48*s**2 - 18 Differentiate 142478*h - 38365 wrt h. 142478 What is the third derivative of 3*d**6 - 2*d**5 - 3016*d**4 - 13734*d**2? 360*d**3 - 120*d**2 - 72384*d Find the third derivative of 2570*q**2*w**4 + 198*q**2 - 17*w**4 + 25*w**2 wrt w. 61680*q**2*w - 408*w What is the second derivative of -2*g**3*m**2 + 3*g**3*m - 3*g**3 - 4*g**2*m**2 + 228*g*m**2 + 13*m**2 - 3*m + 8864 wrt m? -4*g**3 - 8*g**2 + 456*g + 26 Find the first derivative of 13*p**3 - 4894*p**2 + 3*p + 405523. 39*p**2 - 9788*p + 3 Find the second derivative of i**2*z**3 - 2*i**2*z + 780221*i**2 + 13*i*z + 1105*z**3 wrt i. 2*z**3 - 4*z + 1560442 Find the second derivative of 1535*d**4 - 41*d**3 + 162*d + 1304 wrt d. 18420*d**2 - 246*d Find the second derivative of 60883*c*j**3*s**2 + 16*c*j**3*s - c*j**2*s + 19*c*j*s + 2*j**3*s + 2*j**3 wrt s. 121766*c*j**3 Differentiate -n**4 + 51*n**3 - 93*n - 11112 wrt n. -4*n**3 + 153*n**2 - 93 Differentiate -709*a**2*z**3 - 38*a*z**3 - 4*z**3 - 26622*z
{ "pile_set_name": "DM Mathematics" }
d the first derivative of 2007 - 473*a**2 + 1149*a**2 + 1143*a**2 wrt a. 3638*a Let m be -3 - (4 - 11) - 2. Suppose 5*v + 2 = -3*a + 9, -v = 4*a + 2. What is the first derivative of v*l**2 - 10*l**m + 7 - 1 - 8*l**2 wrt l? -32*l What is the second derivative of -10 + 5 + 5 + 1018*h**3 - 13168*h + 9797*h**3 wrt h? 64890*h What is the second derivative of 23*v + 11 - 426*v**2 + 2779*v**2 + 444*v**2 wrt v? 5594 Let t = -2763 - -2769. Let d(b) be the third derivative of 5/12*b**4 - b**2 + 0*b - 1/5*b**t + 0 + 0*b**3 + 0*b**5. What is the second derivative of d(y) wrt y? -144*y Let t be (2*-27 - 2)/(-2). Suppose 2*n - t = -18. Differentiate -n*s**4 + 14 + s**4 - 7*s**4 with respect to s. -44*s**3 Let n be (24 + -20)/(2 - 0). What is the third derivative of -19*l**3 - 21*l**2 + 13*l**2 + 15*l**n + l**5 - 28*l**3 wrt l? 60*l**2 - 282 Let g(r) = -3*r**2 - 34*r - 3. Let n be g(-10). What is the second derivative of 15*p - n*p**2 - 65*p + 22*p + 22*p + 4 wrt p? -74 Find the third derivative of 1520*h**4 + 582*h**2 + 36*h**4 + 231*h**2 wrt h. 37344*h Find the second derivative of -730*m**2 - 5994*m + 435*m**2 + 7245*m - 749*m**2 wrt m. -2088 Let v(f) be the third derivative of f**5/60 - 43*f**4/8 + 316*f**3 - 1265*f**2. Find the first derivative of v(b) wrt b. 2*b - 129 Let p be (-22)/(-14) - (-2 - (-55)/35). Find the second derivative of -23*y - 54*y - 2*y**2 + 222*y - 144*y**4 + p*y**2 + 2 wrt y. -1728*y**2 Suppose 0 = -11*p + 93 + 193. Find the first derivative of p*y**3 + 0*y**3 - 3*y**3 + 604 - 607 wrt y. 69*y**2 Let g(o) = -o. Let b(u) = 4*u - 7. Let i be 4*6 - 15/3. Let j = -20 + i. Let q(y) = j*b(y) - 5*g(y). What is the first derivative of q(l) wrt l? 1 What is the third derivative of 226*s**2 - 3349*s**3 - 11927 + 11927 wrt s? -20094 Let m(d) be the second derivative of 0*d**3 + 3 + 36*d + 5/2*d**2 + 37/5*d**5 + 5/12*d**4. What is the third derivative of m(g) wrt g? 888 Let q(v) be the first derivative of -3*v**5/5 - 65*v**4/2 + 1657*v**3/3 + v**2 + 1873. Find the third derivative of q(n) wrt n. -72*n - 780 Find the second derivative of 1383 - 201*t**5 - 682 + 2*t - 679 + 2*t**4 - 22*t - 53*t wrt t. -4020*t**3 + 24*t**2 Let m(o) = 26*o**2 - 12*o + 11. Let r be m(1). What is the first derivative of -148 - r*g**4 - 31 - 32*g**4 + 23 wrt g? -228*g**3 Let f = -1762 + 1764. Let h(j) = j**3 - 3*j**2 - 2*j - 4. Let i be h(4). What is the second derivative of g**i - 3*g**4 + f*g + 0*g - 6*g wrt g? -24*g**2 Let g = -47 + 52. Let t be (-114)/(-10) + (-8)/20. Find the second derivative of 6*p - 13*p - 31*p**g + t*p wrt p. -620*p**3 Find the second derivative of -8134*m**2 - 1765*m + 90 - 284 + 96 + 98 wrt m. -16268 Let y(g) be the third derivative of -29*g**7/210 - 11*g**6/20 + g**5/60 + 1660*g**3/3 - 19*g**2 + 7*g - 6. Find the third derivative of y(z) wrt z. -696*z - 396 Let l(v) = -5858*v**2 + 13*v + 3110. Let p(k) = 1465*k**2 - 3*k - 778. Let a(x) = -2*l(x) - 9*p(x). What is the derivative of a(j) wrt j? -2938*j + 1 What is the derivative of -6447*d**3 + 11109*d**3 + 424 + 1260 - 6781*d**3 wrt d? -6357*d**2 Differentiate -43*i**3 - 12*i**3 - 2*i**4 - 4 + 675*i**3 + 47*i**3 - 120 wrt i. -8*i**3 + 2001*i**2 Suppose -93*g + 98 = -91*g. What is the second derivative of 2*l**3 + g*l**2 + 52*l**2 - 83*l**2 - 18*l wrt l? 12*l + 36 Let k(r) be the first derivative of -1222*r**3 - 1245*r - 3545. Differentiate k(l) with respect to l. -7332*l Let j(f) be the third derivative of 191*f**6/30 + 11*f**4/24 - 11*f**3/6 - 1890*f**2. What is the second derivative of j(v) wrt v? 4584*v Suppose -4*v + 32 = -3*n, -10*v = -12*v - 2*n + 2. Suppose 7*c - 6 = 4*c. Find the third derivative of -2*t**3 + c*t**3 + 53*t**5 - 38*t**v + 11*t**2 wrt t. 900*t**2 Let j = 363 + -358. What is the third derivative of 4*b**4 + 41*b**j - 567*b**2 + 616*b**2 - 3*b**4 wrt b? 2460*b**2 + 24*b Let k(t) be the first derivative of -6230*t**3/3 + 5*t**2 - 112*t + 3627. What is the second derivative of k(b) wrt b? -12460 Let f(b) = -3*b**2 + 2*b - 11. Let m be f(5). Let d = m - -80. What is the third derivative of -13*t**6 + d*t**6 + 6*t**2 - 2*t**6 wrt t? -1320*t**3 Differentiate -1721 + 72*y**3 + 6*y**2 - 129*y**3 - 1186 with respect to y. -171*y**2 + 12*y Let w = 425 - 426. Let v(l) = 171*l**4 - 13*l - 5. Let r(a) = -a**4 + 2*a. Let m(q) = w*v(q) - 3*r(q). Find the second derivative of m(c) wrt c. -2016*c**2 Let x(i) be the second derivative of 0*i**3 + 1/2*i**2 + 5/3*i**4 + 0*i**5 + 89*i + 19/6*i**6 + 0. Find the third derivative of x(c) wrt c. 2280*c Let u(n) = n**3 - 11*n**2 + 8*n + 22. Let q(x) = x + 14. Let h be q(-4). Let p be u(h). Find the third derivative of -p*i + 18*i**6 - 2*i**2 - 5*i + 7*i wrt i. 2160*i**3 Let k be 6*3/(-12)*-2 - -4. What is the second derivative of -82*h + 50*h**3 - k*h**2 + h**4 + 3*h - 19*h**3 - 31*h**3 wrt h? 12*h**2 - 14 Suppose 7*d - 15*d + 32 = 0. Find the third derivative of 38*u**6 - 44*u**4 + 44*u**d - 3*u**2 - 3*u**2 wrt u. 4560*u**3 Let x(a) = a**5 + a**4. Let r(w) = 21*w**5 + 17*w**4 + 4*w**3 + 127*w**2 + 6. Let i(o) = -r(o) + 9*x(o). Find the third derivative of i(j) wrt j. -720*j**2 - 192*j - 24 What is the third derivative of -6*t - 11*t**2 + 4*t + 2564*t**3 + 2613*t**3 + 3*t**2 - 1051*t**3 wrt t? 24756 Let a be 11/(-2)*(-8)/(-1)*-2. What is the third derivative of 26*m**2 + 52*m**5 + a*m**5 + 2*m + m**5 wrt m? 8460*m**2 Let z(p) = -p**2 + 6*p + 1. Let a be z(6). Let o be a*-4 - (-5 - 1). Find the second derivative of 7*l - o*l - 12*l - l**4 wrt l. -12*l**2 Differentiate 0*w**2 + w**2 + 4743028 + 1688*w + 2*w**3 - 4751535 with respect to w. 6*w**2 + 2*w + 1688 Let x(z) be the third derivative of z**7/15 - z**6/120 + 383*z**3/2 + 5*z**2 - 127*z. Differentiate x(f) with respect to f. 56*f**3 - 3*f**2 Let r(k) = k**2 - k + 2. Let v be r(3). Let s be (v/(-14))/(5/(-35)). What is the second derivative of 10*q + 14*q - 8*q - 6*q**s wrt q? -72*q**2 Let d = -192/17 - -712/51. Let r(s) be the first derivative of 0*s + 0*s**4 + 3 + d*s**3 + 0*s**2 + 4/3*s**6 + 0*s**5. Find the third derivative of r(z) wrt z. 480*z**2 Suppose 2*p = -m + 13 + 6, 13 = -p + 4*m. What is the second derivative of p*l**4 - l**3 + 23*l**4 + 80*l + 21*l wrt l? 360*l**2 - 6*l Let k be -3 - (11/22 + (-13)/2). Find the second derivative of 10*a**3 + 2*a**5 - 24*a**3 + 8*a - a**k wrt a. 40*a**3 - 90*a Let x(p) = -2*p**3 - 4*p**2 - 9*p - 25. Let b be x(-4). Find the third derivative of 15*k - 6*k + k**2 - 58*k**3 - 2*k**2 - b*k**3 wrt k. -798 Let j(r) be the first derivative of 2*r**7 - 2*r**6/3 - 400*r**3 - 2238. Find the third derivative of j(n) wrt n. 1680*n**3 - 240*n**2 What is the second derivative of -38*t - 28*t - 31*t + 1092*t**2 - 87 + 96*t - 5 wrt t? 2184 Suppose -3*a = 5*n - 30, 2*a + 4 = 5*n - 1. Find the third derivative of 61*j**2 - 186*j**2 - 2*j + 77*j**n + 76*j**3 + 2*j wrt j. 918 Let o(s) be the third derivative of -s**8/336 + s**5/15 + 187*s**4/12 - s**3/6 + 415*s**2. Find the second derivative of o(q) wrt q. -20*q**3 + 8 Let p(r) = -7716*r**3 + 20*r**2 - 2*r - 165. Let b(k) = 11574*k**3 - 28*k**2 + 3*k + 248. Let q(h) = -5*b(h) - 7*p(h). Find the second derivative of q(c) wrt c. -23148*c What is the first derivative of -3599*s**2 - 8249*s**2 + 1417*s**2 - 7101 wrt s? -20862*s Let p(c) be the second derivative of 0*c**5 + 17/5*c**6 + 64*c + 0 + 0*c**3 + 0*c**2 + 5/12*c**4. Find the third derivative of p(m) wrt m. 2448*m Suppose 7*f - 8*f - 4 = 0. Let z be 2 + (-15)/f*4. What is the derivative of -1242 + 9*q + 1243 + z*q wrt q? 26 Suppose 73 = 3*q + 58. Let w(b) = 25*b**2 - 2*b + 1. Let v be w(4). What is the third derivative of 377*m**5 + 7*m**2 + 3*m**2 - v*m**q wrt m? -960*m**2 Let q(g) = 502*g + 275. Suppose -54 = -37*t + 57. Let s(m) = 167*m + 91. Let l(f) = t*q(f) - 8*s(f). Find the first derivative of l(n) wrt n. 170 Let y be 6*(-1)/(0 - 2). Let j be -1*((-6)/4 - (-693)/(-42)). Differentiate -y*d - 7*d**2 + 54 - j + 3*d wrt d. -14*d Let b(u) be the third derivative of -1341*u**6/20 + 6469*u**3/6 - 5*u**2 + 5*u - 18. Differentiate b(g) wrt g. -24138*g**2 Suppose -8*q + 3*q + 8 = -3*q. Let x(v) be the second derivative of 0*v**3 + 0 - 14*v - 1/2*v**q + 10*v**2. Differentiate x(p) with respect to p. -12*p Let d(g) be the third derivative of -5263*g**5/60 + 821*g
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 57094? 2, 28547 What are the prime factors of 298? 2, 149 List the prime factors of 17900. 2, 5, 179 What are the prime factors of 4651? 4651 List the prime factors of 1644. 2, 3, 137 What are the prime factors of 22587? 3, 7529 What are the prime factors of 48303? 3, 1789 List the prime factors of 2271. 3, 757 What are the prime factors of 9879? 3, 37, 89 What are the prime factors of 112668? 2, 3, 41, 229 What are the prime factors of 8799? 3, 7, 419 What are the prime factors of 31789? 83, 383 What are the prime factors of 12341? 7, 41, 43 What are the prime factors of 93069? 3, 383 What are the prime factors of 47695? 5, 9539 List the prime factors of 1089. 3, 11 What are the prime factors of 10495? 5, 2099 What are the prime factors of 2073? 3, 691 What are the prime factors of 3324? 2, 3, 277 List the prime factors of 23351. 19, 1229 List the prime factors of 952. 2, 7, 17 List the prime factors of 6971. 6971 List the prime factors of 466. 2, 233 List the prime factors of 5847. 3, 1949 List the prime factors of 506. 2, 11, 23 What are the prime factors of 73? 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3917 What are the prime factors of 528? 2, 3, 11 List the prime factors of 33172. 2, 8293 What are the prime factors of 9627? 3, 3209 What are the prime factors of 3758? 2, 1879 List the prime factors of 91733. 91733 What are the prime factors of 2382? 2, 3, 397 What are the prime factors of 21135? 3, 5, 1409 What are the prime factors of 996? 2, 3, 83 What are the prime factors of 6527? 61, 107 What are the prime factors of 57433? 79, 727 List the prime factors of 10217. 17, 601 What are the prime factors of 66897? 3, 7433 List the prime factors of 12942. 2, 3, 719 What are the prime factors of 11174? 2, 37, 151 What are the prime factors of 3636? 2, 3, 101 What are the prime factors of 1464? 2, 3, 61 What are the prime factors of 25748? 2, 41, 157 What are the prime factors of 8222? 2, 4111 What are the prime factors of 21383? 21383 List the prime factors of 483. 3, 7, 23 List the prime factors of 106798. 2, 67, 797 List the prime factors of 8498. 2, 7, 607 What are the prime factors of 11729? 37, 317 What are the prime factors of 10334? 2, 5167 What are the prime factors of 597? 3, 199 List the prime factors of 4075. 5, 163 List the prime factors of 111319. 13, 8563 What are the prime factors of 1249? 1249 What are the prime factors of 41364? 2, 3, 383 List the prime factors of 8930. 2, 5, 19, 47 List the prime factors of 761. 761 List the prime factors of 5153. 5153 What are the prime factors of 2583? 3, 7, 41 List the prime factors of 19829. 79, 251 List the prime factors of 87108. 2, 3, 7, 17, 61 What are the prime factors of 75890? 2, 5, 7589 What are the prime factors of 4452? 2, 3, 7, 53 List the prime factors of 37500. 2, 3, 5 List the prime factors of 12904. 2, 1613 List the prime factors of 4394. 2, 13 List the prime factors of 5461. 43, 127 List the prime factors of 10512. 2, 3, 73 What are the prime factors of 6835? 5, 1367 List the prime factors of 2158. 2, 13, 83 What are the prime factors of 43218? 2, 3, 7 What are the prime factors of 669? 3, 223 What are the prime factors of 85771? 7, 12253 List the prime factors of 8203. 13, 631 What are the prime factors of 66627? 3, 11, 673 What are the prime factors of 810? 2, 3, 5 List the prime factors of 230. 2, 5, 23 What are the prime factors of 804? 2, 3, 67 List the prime factors of 7664. 2, 479 What are the prime factors of 5694? 2, 3, 13, 73 List the prime factors of 6629. 7, 947 List the prime factors of 501. 3, 167 What are the prime factors of 221? 13, 17 List the prime factors of 152993. 152993 What are the prime factors of 1980? 2, 3, 5, 11 List the prime factors of 26772. 2, 3, 23, 97 List the prime factors of 4093. 4093 List the prime factors of 3020. 2, 5, 151 List the prime factors of 1686. 2, 3, 281 List the prime factors of 26594. 2, 13297 List the prime factors of 2128. 2, 7, 19 What are the prime factors of 7225? 5, 17 List the prime factors of 34746. 2, 3, 5791 What are the prime factors of 6343? 6343 Wha
{ "pile_set_name": "DM Mathematics" }
y = -12 for z. -2 Solve 4*d - 26618 + 26606 = 0, -4*d = 6*z for z. -2 Solve -6*o - 849 = -3*b - 831, 0 = b + 3*o + 4 for b. 2 Solve 5*p + 3*v = -0*v + 45, 98655*v - 28 = -3*p + 98653*v for p. 6 Solve 10*b = 3*t - 17*t + 2*t - 86 - 154, -20 = 3*b + t for b. 0 Solve x + 2211*z - 14 = 2212*z, -290 = 50*x + 5*z for x. -4 Solve -2*o + 286*i - 34 = 580*i - 289*i, 71*i + 263 = 3*o for o. -7 Solve f - 4*i + 7 = -6, 5*f - 2*i + 522 = 493 for f. -5 Solve -23*c + 53 = -4*l, 0*l + 6*l = 5*c + 8*l - l + 36286 - 36305 for c. 3 Solve -7*b + 3 = -5*j, 4*b + 64 = -3*j + 95 for b. 4 Solve -10*c - 2228*k + 430 = -2232*k, 4*c - 159 = -k for c. 41 Solve 398 = -10*f + 348, 5*b = 8*f + 65 for b. 5 Solve 2*b + 5*q - 19 = 4*q, 45*q + 5 = -7*b + 47*q for b. 3 Solve 276102*c - 276098*c - 92 = 12*i, -2*c - 31 = 5*i for c. 2 Solve 46 = 2*x - 21*p, -p = 160*x + 164*x - 321*x - 4 for x. 2 Solve -5*p + 28 = -3*p, -277*q = -138*q - 144*q + p - 9 for q. 1 Solve 2*b - 218 + 114 = 0, -17*d + b + 4*b - 257 = -5*d - 13*d for d. -3 Solve -326*k + 42 = g - 167*k - 146*k, -3*k = g - 2 for g. -10 Solve 24 = -h + 4*k, 0 = -5*h - 2*k + 3804900 - 3804910 for h. -4 Solve -u - 19 - 31 = 5*l + 4, 257 = 4*u - 23*l for u. 1 Solve 4*f + 240 = -60*x, -74*x = -2*f - 72*x + 8 for f. 0 Solve -21733*f + s + 184 = -21738*f, 0 = -3*f + 5*f - 4*s + 56 for f. -36 Solve 0 = -4*u + 11*k + 13, -2*k + 6*k + 243 = -4*u + 211 for u. -5 Solve -73*f - 5 = -5*x - 68*f - 15, 0 = -6*f + 4*f + 14 for x. 5 Solve -19*v - 48051*o = -48055*o - 666, -19 = -v - 3*o for v. 34 Solve 0 = 3*d + 2*n - 26, -50 = 203518*d - 203523*d - 5*n + n for d. 2 Solve -24*j - 30 = -35*j + 8*j + 3*l, -2*j - 3*l = -2*l - 26 for j. 12 Solve -29 = 32*j - 34*j - 3*r - 4, -r = 8*j - 21 - 68 for j. 11 Solve -2*l + c - 17 - 6 = 0, 18466*c = 3*l + 18402*c - 278 for l. -14 Solve -25 = -30752*a + 30757*a, 2*a + 10 = 12*m for m. 0 Solve -3*z - 69 = 3*d, 322 = -14*d + 377*z - 374*z for d. -23 Solve 6*n - 3*a = -219, -297 = 3*n + 50928*a - 50932*a for n. 1 Solve w + 416*v + 1016 = -649, 0*v - v - 3 - 1 = -w - 1 for w. -1 Solve 4*f + q - 82060 = 4*q - 81748, -3*f - 22*q + 331 = 0 for f. 81 Solve -2*b - 25*t + 106 = -175, 6*t = -2*b + 14*t - 82 for b. 3 Solve -10*n + 256 = 3*y - 23*n, 4889 - 4851 = -2*n for y. 3 Solve -4*b - 13 + 1 = -0*b - m - 5 + 13, -3*b + 3939 = 164*m for b. 1 Solve l + 14*d = 8, 7*d + 3*d + d - 10*d = 0 for l. 8 Solve -6*l - 5*i + 60 = 3*l + 31*l, 11 = -5*l + 4*i for l. 1 Solve -5*j = -9*y - 79, -4*j - 2*y + 11 - 20 - 25 = -j for j. -4 Solve 2*i + 50 = 10*z, z - 11971*i + 11973*i = -17 for z. 3 Solve 2*f + 45*i + 68 = 47*i, 15*f - 11*f - 5*i = -136 for f. -34 Solve 0 = 5*z - 259346*k + 259351*k - 55, -4*z + 32 = k for z. 7 Solve 25*f - 7595 + 7665 = -5*d, 5*f + 3*d = -62 for f. 2 Solve -2*u + 67*p - 68*p = -34*p + 1784, 0 = u + 6*p - 222 - 101 for u. -1 Solve 0 = -10*g + 11*g - 2*d + 31, -7112 = 5*g - 3*d - 6936 for g. -37 Solve -19 = g - s, 420*g - 205*g = 214*g + 8*s + 9 for g. -23 Solve -202*d + 97*d - 20 = -24*f - 101*d, 2*f + 2*d - 60 = 0 for f. 5 Solve 2*h - 3 = -2*j + 3, -6*j - 16 + 78 = 9*h - 4*j for h. 8 Solve 3*c + 45 = -100*f + 191*f - 96*f, 108*f = c - 314 for f. -3 Solve -2*p + 8*d = -46, p + 688*d - 689*d - 5 = 0 for p. -1 Solve f + 10 = -j, -3*f = -68*j + 64*j + 2*f + 14 for j. -4 Solve 2*y = -32*m + 29*m - 21 + 71, -8*y + 74 = 5*m for m. 18 Solve -3*b - 2*v = -317 + 297, -v = 5*b - 3*v - 12 for b. 4 Solve 21*w - 17*w = -4, -6*r + r - w = -r + 89 for r. -22 Solve 2*k - 6*j + 16 = 0, 7*k + 61112*j = 61120*j - 4 for k. 4 Solve 663306 - 663274 = -4*j - 3*l, 3*l = 4*j - 16 for j. -2 Solve 23*f + 5*i = 10*i + 49 - 8, 3*f - 2*i = 4 for f. 2 Solve -10 = -5*a, 0 = v - 5*a - 44478 + 44492 for v. -4 Solve 0 = h + v - 5, -4*h - 113 + 145 = -3*h + 10*v for h. 2 Solve -3*i - 7 = 422*f - 426*f + 1, -2 = -i + 2 for f. 5 Solve -93844*h = -2*v - 93910*h - 54, -2*h - 14 = -2*v for v. 6 Solve 610*c - 609*c + 275 = -27*u, 1 = 4*c - 2*u + 1 for c. -5 Solve k + 323 = 4*u + 384, 0 = -2*u - k - 23 for u. -14 Solve -2*g - 71 = 8*k + 7, 3*k - 4*k = g + 12 for k. -9 Solve 233*k - f + 6 = 237*k - 33 - 14, 0 = 6*f + 18 for k. 14 Solve -8815*z + 8820*z + 154 = 18*l, -2*z = -7*l + 60 for z. -2 Solve 6*h - 205 = 5*t + 4*h, -3*h - 26 = 12 - 53 for t. -39 Solve 2*k + 7 = 5*g, 0*k - 70*k = g - 32 + 101 for g. 1 Solve 4*g + 28 = -2*z, -3*g + 5*z + 1383 = 1365 for g. -4 Solve u + u - 41*c + 29 = 68, -3*u + 3*c = 0 for u. -1 Solve -5*s + 25 = 6*j, -6*j - 128 = -2*s - 0*j - 160 for s. -1 Solve -4*a - 184*n = -361*n + 178*n + 13, 2*a + 23 + 6 = -5*n for a. -2 Solve -5*y = p - 65, 200*p - 197*p + 2*y = 26 for p. 0 Solve 7*l + 2*x - 36 = 0, 5*l + 206*x - 39 = 209*x for l. 6 Solve b = 3*g + 10, 19*g - 24*g - 11 = -2720*b + 2724*b for b. 1 Solve 248 = -36*b - 18*b + 18*b - 2*n, 5*b + 27 = -4*n for b. -7 Solve 0 = 2*u + 5*q - 24, 0 = 4*u + 30*q - 48*q + 19*q - 12 for u. 2 Solve -87*r + 2*b - 30 = -83*r, 7*r - 2*b + 15 = 0 for r. 5 Solve -3*i + 5*n + 18 = 76, -11*i = 2*i - 5*n + 268 for i. -21 Solve -105*i = -100*i - 2*n + 10, -14 = -i - 3*n - 10 + 11 for i. 0 Solve -37*f + 3 = -78*f + 40*f + b - 0*b - 2, 0*b = b for f. -5 Solve -2*w - 6 = -3*s - 5*w, 45 = -10*s + 3*w for s. -3 Solve 462*j - 14784 = -2*i, 5*i - 3*j - 2*j + 4*j - 3*j = -128 for i. 0 Solve 370*c - 742*c - 1 = -373*c + 4*m, 0 = -5*c + 2*m + 5 for c. 1 Solve -8 = 3*z + 5*c, 4*z + 1642*c - 1638*c + 8 = 0 for z. -1 Solve 0 = -5*g + 4*p + 1838 - 1771, 0 = 2*g - 3*p - 31 for g. 11 Solve -5*v = -3*o + 141, 5*o - 1188*v = -1192*v - 98 for o. 2 Solve -140 = 260*w - 262*w + 3*j, 0 = 3*w - 4*j - 188 for w. 4 Solve -3*z - 15 = 3*j, -2*z - 1031 = 112*j - 691 for z. -2 Solve -23077*d + 18 = -23082*d + 2*w, 0 = 3*d + 59*w - 531 for d. 0 Solve 3*q = -14*q + 68, -6*q = -2*l - 18 for l. 3 Solve 215*b - 218*b = -s + 42, -3*s + 2*s + 4*b + 55 = 0 for s. 3 Solve -8*s + 1261 = -n + 1245, -10 = 5*n - 5*s for n. 0 Solve -3*v + 16 = -2*n, 3*n - 501*v + 251*v + 9 = -253*v for n. -5 Solve l - 2*l - 2*l = -4*l - q, 7*q + 9*q = 3*l + 12*q for l. 0 Solve 0 = x - 5*a - 109, -23257 = -3*a - 23320 for x. 4 Solve -5*f = -5*g - 30, -3*f - 72 = 30*g + 32*g - 285 for f. 9 Solve 2*c + 3*f = -5, 7*f - 44*f - 44 = -3*c + f + 9*f for c. -1 Solve 4*j + 18*f + 42 = 0, 7093*j - 7091*j - f = 9 for j. 3 Solve 5*t = -32*d - 37, -20*d + 18*d + 6 = -7*t + 1 for d. -1 Solve 21886*q - 21884*q = 4*k - 3*k - 32, -160 = -5*k for q. 0 Solve -4*g - 10 - 40 + 4 = 5*u, 5*u - 16*u + 2*g + 50 = 0 for u. 2 Solve -5*f - 34 = -6*l + 8*l - l, -6*l + 13 = -f for l. 1 Solve -7*t - 49 = 4*y, -5*y + 785 = 4*t + 851 for t. 1 Solve 2*i + 1946 - 1875 = -3*o, 2*i - 5*o - 113 = 0 for i. -1 Solve -5 = 3*z - 2*z + 2*o, 4*z - 84200*o = -84204*o - 36 for z. -13 Solve -4*y + 8*y = -5*v + 265, -315486*v + 315477*v - 3*y = -498 for v. 57 Solve 8*y = -5*d + 98, -54*y + 4*d + 47 = -49*y for y. 11 Solve 89 = 3*n - 2*i, 13684 = -5*n + 58*i + 13887 for n. 29 Solve -3*a + 55*y + 71*y = -38*y + 651, -3*a - 2*y = 153 for a. -53 Solve 2*m + 70 = 6*l, -m + 30 = 874*l - 872*l for l. 13 Solve 3*q - 22 = -13*l, q + 1 + 4 = l + l + 2*q for l. 1 Solve 952*n - 3*l = 963*n - 176, 5*n - l = -24 for n. 4 Solve 3*j - 377 = -10*v, 0 = -6818*v + 6816*v + 4*j + 80 for v. 38 Solve 5*t + o = 45, 857*t - 855*t = 8*o + 60 for t. 10 Solve -5*q - 132 - 109 - 63 = -3*c - 11, 634 = -4*c - 11*q for c. 1 Solve 24*k - 108 = 7*k + 2*g, -162*g + 157*g + 9 = 4*k for k. 6 Solve -w - 5*i - 51 = 0, -22*w + 60*w - 29*w - 78 = -i - 317 for w. -26 Solve -11*h - r - 76 = -3*r, 80885*h + 2*r - 82 = 80897*h for h. -6 Solve -l + 6 - 7 = 4*h - 2*h + 3, 45*l + 180 = 0 for h. 0 Solve 0*p + 2*p - 19 + 156 = -5*a, -6*p = -3*a - 111 for a. -29 Solve -21*y + 16*y + 135 = 5*o, -149*o - 178 = -405*o + 3*y for o. 1 Solve -12*o - 3*g = -66 - 78, 3*o + g + 5*g + 18 - 25 = 29 for o. 12 Solve 0 = -5*z - b - 3 + 19, 13*z - 55 = -5*b - 11 for z. 3 Solve 653*o + 2 = -4*u + 652*o - 18, 19 = -3*u - 2*u - 2*o for u. -7 Solve 8 = -4*o + 4*x, 361*o - 4 = 119*o + 122*o + 119*o + 3*x for o. -5 Solve 566651*k - 566653*k = -2*m - 4, -3*m - 2*k = 6 for m. -2 Solve -2*g - 1489 = -3*t - 1517, -3*g - 3*t = 2*g - 7 for g. 5 Solve 128*d - 594 = 161*d, 0 = 4*w - 13*d - 250 for w. 4 Solve 11*h = 5*j + 17, -427 = 5*h - 4*j - 433 for h. 2 Solve 0 = 3*t
{ "pile_set_name": "DM Mathematics" }
llect the terms in -71 - z**3 - 67*z**2 + 67*z**2. -z**3 - 71 Collect the terms in -1 + 2 - 353*o**2 + 53*o**2. -300*o**2 + 1 Collect the terms in -7*t**3 - 9*t**3 + 12*t**3 - 17*t**3 - t**3. -22*t**3 Collect the terms in -10*u**2 - 4*u**3 + 9*u**2 + u**2. -4*u**3 Collect the terms in -4*v + 4*v + 0*v**2 - 10*v**2. -10*v**2 Collect the terms in -101*u - 5*u + 503 - 503. -106*u Collect the terms in -4*k**2 + 2*k**3 - 3*k**3 + 3*k**3. 2*k**3 - 4*k**2 Collect the terms in -211*b**3 + 17*b**3 - 113*b**3. -307*b**3 Collect the terms in -38*x - 348*x - 1135*x - 1. -1521*x - 1 Collect the terms in -2 + 2 - 130*k + 113*k. -17*k Collect the terms in -12931*i + 6466*i + 6467*i. 2*i Collect the terms in 121*p**3 + p**2 - p**2 - 114*p**3. 7*p**3 Collect the terms in -50*d - 34 + 34. -50*d Collect the terms in 5*n**2 - 23 + 23. 5*n**2 Collect the terms in 4*c - 6*c + 6*c + c. 5*c Collect the terms in 2 + 4 - 6 + 12*k. 12*k Collect the terms in 123*b - 57*b + 121*b. 187*b Collect the terms in -45*o**3 - 44*o**3 + 93*o**3. 4*o**3 Collect the terms in -4*i**3 - 32 - 7 - 12*i**3. -16*i**3 - 39 Collect the terms in -59*s**2 + 22*s**2 - 16*s**2. -53*s**2 Collect the terms in -10*k**2 + 15*k**2 - 3*k**2. 2*k**2 Collect the terms in 2 + 11*x + 8*x + 0. 19*x + 2 Collect the terms in 29 - 30 + 7*q**2 - 108*q**2. -101*q**2 - 1 Collect the terms in -25 + 3*t**2 - 27 - 21 + 73. 3*t**2 Collect the terms in -1791 + 1791 + 3*j**3. 3*j**3 Collect the terms in 1064*l + 0*l**2 - 1064*l - l**2. -l**2 Collect the terms in 98*t - 228*t - 110*t. -240*t Collect the terms in 5 + 0 - 5 - 20*u**2. -20*u**2 Collect the terms in 2191*r**2 - 4386*r**2 + 2194*r**2. -r**2 Collect the terms in 113*o**3 + 102*o**3 - 214*o**3. o**3 Collect the terms in -108*m**3 + 53*m**3 + 59*m**3. 4*m**3 Collect the terms in -33*d**3 + 55*d**3 - 28*d**3. -6*d**3 Collect the terms in 79*y**3 - 180*y**3 + 95*y**3. -6*y**3 Collect the terms in 3*s**3 + 5*s**3 - 4*s**3. 4*s**3 Collect the terms in 0*q - q - 4*q + 0*q. -5*q Collect the terms in -28 - 10*a**2 - 5*a**2 + 28. -15*a**2 Collect the terms in -7*i + 4 - 1 + 19*i - 2. 12*i + 1 Collect the terms in 438*g**2 - 24*g**3 - 438*g**2 - 2*g**3. -26*g**3 Collect the terms in 85 - 45 - i - i - 40. -2*i Collect the terms in 2*y**3 - 17931 + 17931. 2*y**3 Collect the terms in 29*t**2 + 3*t**3 - 59*t**2 + 30*t**2. 3*t**3 Collect the terms in 5660*s - 2828*s - 2827*s. 5*s Collect the terms in -2 + 2 + 10*f - 9*f. f Collect the terms in 14*b**2 - 48*b**2 + 10*b**2. -24*b**2 Collect the terms in -4*p**3 - 14*p**3 - 13*p**3 + 2*p**3. -29*p**3 Collect the terms in 38*g**3 - 73*g**3 + 38*g**3. 3*g**3 Collect the terms in 4*h - 2*h - 5*h. -3*h Collect the terms in -28*f**3 + 1 + 9 + 0 + 1. -28*f**3 + 11 Collect the terms in -w**2 + 3*w**3 - 44*w**2 + 45*w**2. 3*w**3 Collect the terms in 14*d**2 - 42*d**2 + 24*d**2 + 30*d**2. 26*d**2 Collect the terms in 4*v**3 + 2 + 0 - 2. 4*v**3 Collect the terms in -3*l**3 + 0 + 3*l**2 + 0 + 10*l**3. 7*l**3 + 3*l**2 Collect the terms in -10*n**2 - 102*n + 102*n. -10*n**2 Collect the terms in 236 - 15*a - 236. -15*a Collect the terms in 8552*w + w**2 + 15 - 8552*w. w**2 + 15 Collect the terms in -4 + 5 - 2*h**2 - h**2 - 2*h**2. -5*h**2 + 1 Collect the terms in 236 - 2*o**2 - 236. -2*o**2 Collect the terms in 0 - 5 + 99*c**2 + 5. 99*c**2 Collect the terms in 10*o**2 + o**2 - 5*o**2 + 0*o**2. 6*o**2 Collect the terms in -k + 3*k - 8*k + 2*k. -4*k Collect the terms in -14*d**2 + 160*d**2 + 57*d**2. 203*d**2 Collect the terms in 26*x**2 - 70*x**2 + 10*x**2 + 30*x**2. -4*x**2 Collect the terms in -276 - 276 + 15*a + 552. 15*a Collect the terms in 5 + 11*m - 5. 11*m Collect the terms in 6*q - 5*q - q - q - 4*q. -5*q Collect the terms in -27*j - 192 + 106 + 86. -27*j Collect the terms in 7*k - 5*k - 2*k + k. k Collect the terms in -63*c**2 - 58*c**2 - 43*c**2. -164*c**2 Collect the terms in -2*z - 25 + 17 + 8. -2*z Collect the terms in 0 + 4 + 5*y - 2 + 8*y. 13*y + 2 Collect the terms in -8*n + 11*n - 9*n - 3*n. -9*n Collect the terms in 25*t**2 + 30*t**2 - 56*t**2. -t**2 Collect the terms in -1094*d - 2330*d - 6470*d. -9894*d Collect the terms in -13643*b + 12*b**2 + 13643*b. 12*b**2 Collect the terms in 0*k**3 + 2*k**3 + 3*k**3. 5*k**3 Collect the terms in -86*g + 167*g - 86*g. -5*g Collect the terms in -405*f**2 + 186*f**2 + 221*f**2. 2*f**2 Collect the terms in 5 - 440*a + 440*a + 2*a**3. 2*a**3 + 5 Collect the terms in 222*v**2 - 221*v**2 + 0 + 0. v**2 Collect the terms in -20*v**3 + 18*v**3 - v**3. -3*v**3 Collect the terms in -18*h + 18*h + 27*h**3. 27*h**3 Collect the terms in 17*d - 7*d**2 - 17*d + 1. -7*d**2 + 1 Collect the terms in -19*k + 13*k + 7*k. k Collect the terms in -2*m**2 - 262*m + 262*m. -2*m**2 Collect the terms in 54*d + 53*d + 50*d + 5*d**2 - 157*d. 5*d**2 Collect the terms in 3*s**2 + 4*s**2 - 3*s**2 + 253 - 3*s**2. s**2 + 253 Collect the terms in 105*p**2 - 182*p**2 + 165*p**2. 88*p**2 Collect the terms in -2*k + 6*k + 6*k. 10*k Collect the terms in -4 + 4 + 0 + 3*w. 3*w Collect the terms in 83*p**3 + 165*p**3 + 18*p**3. 266*p**3 Collect the terms in -41*d + 12*d + 7*d. -22*d Collect the terms in -5 - 8 - 29*a + 19*a. -10*a - 13 Collect the terms in -3695*z + 3695*z - 6*z**3. -6*z**3 Collect the terms in 11*o**2 + o**2 - 9*o**2 + o**2 - 5*o**2. -o**2 Collect the terms in 3171*p**3 - 1586*p**3 - 1586*p**3. -p**3 Collect the terms in 3*v**2 - 3*v**2 - 45*v**3. -45*v**3 Collect the terms in 0*z**2 + 0*z**2 - z**3 - 5*z**3. -6*z**3 Collect the terms in 14*q**3 - 15*q**3 - 121*q**2 + 121*q**2. -q**3 Collect the terms in -2*c + 5*c + 8332 - 8332. 3*c Collect the terms in -324*p - 3 - 6 + 321*p. -3*p - 9 Collect the terms in 50*o**3 + 130*o**2 + 40*o**3 + 61*o**3 - 131*o**2. 151*o**3 - o**2 Collect the terms in 6059 + 2*w**3 - 6059. 2*w**3 Collect the terms in 17*a**3 + 14*a**3 - 13*a**3 + 2*a**3. 20*a**3 Collect the terms in -5*n + 1411 - 1411. -5*n Collect the terms in -47*a + 9*a + 22*a. -16*a Collect the terms in -46*u + 93*u - u + 77*u. 123*u Collect the terms in 0*i**2 - 6*i**2 + 0*i**2 - 4*i**2. -10*i**2 Collect the terms in 0*h**2 - 4506*h**3 + 4525*h**3 + 0*h**2. 19*h**3 Collect the terms in -15162 + 17*l + 15162. 17*l Collect the terms in 3 - 3 - 61*x**3 + 62*x**3. x**3 Collect the terms in -35*q**2 + 46*q**2 - 64*q**2. -53*q**2 Collect the terms in 3*c + 4*c - 5*c + 6*c. 8*c Collect the terms in 6*k + 5*k**3 - 6*k - 23*k**2. 5*k**3 - 23*k**2 Collect the terms in -2 + 8 + 12*r**2 - 6. 12*r**2 Collect the terms in -107*z + 312*z - 103*z - 107*z. -5*z Collect the terms in 3 - 14*c + 3*c + 17*c - 3. 6*c Collect the terms in 3*g**2 - 16*g**2 + 3*g - 30*g**2 - 5*g. -43*g**2 - 2*g Collect the terms in 22*i + 27*i - 27*i. 22*i Collect the terms in -73*t**2 - 40*t**2 - 93*t**2. -206*t**2 Collect the terms in 284*z - 148*z - 138*z. -2*z Collect the terms in -6*c**2 - 438 + 438. -6*c**2 Collect the terms in -130*s - 5 + 111*s + 1. -19*s - 4 Collect the terms in -x - 11*x + 10*x + 4*x. 2*x Collect the terms in 0*j**3 - 24 + 2 + 3*j**3. 3*j**3 - 22 Collect the terms in 40*m - 4*m**2 + 0*m**2 - 40*m. -4*m**2 Collect the terms in 460 - 460 - 12*v**2. -12*v**2 Collect the terms in 2 - 6 + 5*v + 4. 5*v Collect the terms in -57*l**3 - 139*l**3 + 1 - 1. -196*l**3 Collect the terms in -156*w + 3 + 145*w - 3. -11*w Collect the terms in 354 - 354 - 4*f + f**3 + 4*f. f**3 Collect the terms in -4*g**2 - 9775*g + 9775*g - 3*g**2. -7*g**2 Collect the terms in 10*k**2 - 13*k**2 - 78*k**2 - 47*k**2. -128*k**2 Collect the terms in -12091*u**2 - 2*u + 12096*u**2 + 2*u. 5*u**2 Collect the terms in 1411 - 3*s**2 - 1411. -3*s**2 Collect the terms in 5*g - 8*g + g + 7*g. 5*g Collect the terms in j**2 + 2*j**2 + j**2 + 19*j**2. 23*j**2 Collect the terms in -2222 + 1093 + 1129 + 0*s - 2*s. -2*s Collect the terms in 5*m**2 + 3*m + m**2 - 3*m. 6*m**2 Collect the terms in 7*n - 67*n**2 + 111*n**2 - 45*n**2. -n**2 + 7*n Collect the terms in 8*a**2 + 4*a**2 + 0*a**2. 12*a**2 Collect the terms in -k - 2*k + 2*k + 6 + 0. -k + 6 Collect the terms in -9*q**2 + 6*q**2 + 34*q**2. 31*q**2 Collect the terms in 2 - 4 + i**3 + 2. i**3 Collect the terms in 216 - 5*i**2 - 216 + 2*i**2. -3*i**2 Collect the terms in -72*h**2 + 93*h**2 - 62*h**2. -41*h**2 Collect
{ "pile_set_name": "DM Mathematics" }
z(x) = x**3 - 4*x**2 - x + 11. Let f be z(4). Let n be g(f). Solve -n = -2*l + 6 for l. 4 Let b be 3/(((-24)/4)/18). Let l(u) = -2*u**3 - 19*u**2 - 10*u - 6. Let c be l(b). Solve c = -4*k + k for k. -1 Let q be (8/3)/(4/6). Suppose q*k = -c + 3*c, 0 = -4*k - 3*c. Let x(h) = h**2. Let n be x(k). Solve l = -n*l - 5 for l. -5 Suppose -2*t = -2*g, 2*g = -3*t + 7*g - 10. Suppose -7 = -y - t. Solve y*m = m + 4 for m. 4 Suppose m + c + 0 = 2, 2*m - 2 = -c. Suppose -w - 1 = -2*i + 1, m = -4*i - 2*w + 4. Let t = 105 + -102. Solve -i = -2*v + t for v. 2 Suppose -4*o - o - 30 = 0. Suppose -33*q = -38*q - 20. Let f be 0 + -2 - (o - q). Solve -4*y + 7*y = f for y. 0 Suppose -4*q + 2*q = -112. Let r be q/14 - (4 + -2). Solve d = 1 + r for d. 3 Let j(v) = -4*v + 52. Let x be j(-10). Let l = -89 + x. Solve 2*r = -l*r - 25 for r. -5 Let w(i) = 28*i + 406. Let b be w(-8). Solve -s + 178 - b = 0 for s. -4 Suppose 5*z = -0*z + 20. Suppose -z*y = -0*y - 3*y. Solve -v + y = 3 for v. -3 Suppose 3*k = 4*s - 17, -k + 0 = 5*s - 7. Suppose 3*z = s*z. Suppose -o = -z*o. Solve 3*t - t = o for t. 0 Let m = 67 + -66. Let g = 0 - -2. Suppose 1 = r - g. Solve -m + r = -k for k. -2 Let n(s) = 7*s + 22. Let b be n(-3). Let x(h) = -h**3 + 9*h**2 - 9*h + 6. Let m be x(8). Let a be -1*(m + 3 + -7). Solve -b + a = p for p. 5 Let z(n) = -n - 9. Let m be z(-12). Suppose -2*o = m*o - 125. Solve 4*j = -j + o for j. 5 Let d(l) = l**2 + l. Suppose 4*w = 3*o - 1, 0*w = -w - o - 2. Let n be d(w). Let g(k) = 2*k**2. Let p be g(1). Solve n = p*i + 2 + 2 for i. -2 Let w(g) = -g**2 - 3*g - 1. Let s be w(-4). Let t(l) = -10*l + 4*l + l**2 + 5*l + 6 + 4*l. Let i be t(s). Solve -i = -4*c - 4 for c. 3 Let k = 3 - -7. Solve 5*p = 10*p + k for p. -2 Let i(m) = -m**3 - 2*m**2 + m + 17. Let j be i(-4). Solve -48*l + j*l = 6 for l. -2 Let p = -25 + 27. Suppose -5*t + 0*n = -p*n - 17, -37 = -5*t - 3*n. Let u be 9 + t/(-10)*-8. Solve -3*g = -u - 2 for g. 5 Suppose 44*c - 12 = 40*c. Let z(h) = 3*h - 7. Let k(f) = 2*f - 6. Let r(n) = 4*k(n) - 3*z(n). Let o be r(-5). Solve -c*l + o = -7 for l. 3 Suppose -5*c + 2*c + 3 = 0. Let f be 0*(4/14 - 22/28). Let p be 6 - (c + (f - 0)). Solve -p*h = 11 + 9 for h. -4 Let g(v) = -3*v**2 + 13*v - 7. Let l be g(4). Let d be ((-16)/(12/l))/2. Solve 2*j + d*j - 12 = 0 for j. 3 Let f(o) = o**3 - 12*o**2 - 25*o - 31. Let k be f(14). Let l = -7 + 13. Let w = k + l. Solve -w - 8 = 5*g for g. -5 Suppose -8*h = -l - 4*h + 1, 0 = -4*h + 8. Solve -l - 6 = 5*x for x. -3 Let u(o) = -o**2 + 26*o + 52. Let c be u(27). Solve 5*d + c = -0*d for d. -5 Let t be (-16)/28 - 18/(-7). Solve -j + t = -1 for j. 3 Suppose -4*h = -5 + 1. Let y = 6 - h. Suppose -v - y = -13. Solve -w - v = w for w. -4 Suppose -2*j = -4*n - 14, 2*n - 3*j = -4*j - 17. Let b(q) = q**3 + 6*q**2 - 3*q - 13. Let s be b(n). Solve -4*w - 17 = -s for w. -3 Let r = -217 + 217. Solve -2*m + 2 = -r*m for m. 1 Let b(f) = -f. Let g be b(-2). Let v(q) = 5*q + 1. Let a be v(g). Suppose x = -2*x - d + a, 0 = x + 4*d - 22. Solve 0 = -x*p - 4 for p. -2 Suppose 5 = -5*v, j + 2*v - v = 20. Suppose 30 = -j*t + 26*t. Solve -i = -3*i - t for i. -3 Let t(l) = -2*l - 7. Let n be t(-6). Suppose 4*c - 35 = 5. Let w be n/c*(-16)/(-2). Solve 0 = -4*g + 16 - w for g. 3 Suppose k - 47 = -3*a - k, 2*a - 42 = 4*k. Let w = 19 - a. Solve s + w = -0 for s. -2 Let n be 0 - 6 - (4 + (1 - 24)). Solve -n*l + 14 = 40 for l. -2 Let c be (-34)/(-14) + (-52)/(-91). Solve 6 + 0 = -c*q for q. -2 Let v be 6/2 + 6 + 8. Let q = -14 + v. Suppose 0 = q*l + 1 - 16. Solve -4*k = -l*k + 1 for k. 1 Let c(n) = n + 7. Let l be c(-7). Let z = 22 - 18. Suppose 3*a - 9 = -3*j, 0 = -a + z*j - 2*j. Solve l*k = -a*k for k. 0 Let k = -34 + 39. Let f be (-103)/(-5) + (-3)/k. Suppose 0 = -4*u + f - 4. Solve -2*a - u = -4*a for a. 2 Let q(i) = -9*i**3 - 15*i**2 + 26*i - 1. Let t(j) = 4*j**3 + 8*j**2 - 13*j. Let w(b) = 2*q(b) + 5*t(b). Let d be w(-6). Solve o = -5 + d for o. -1 Let c(g) = 6*g + 178. Let v be c(-29). Solve v*i = i for i. 0 Let v be -1*2 + (13 - -13). Let t be 3 + (6/v)/((-1)/4). Solve 2 = -t*m + 4 for m. 1 Let l = 659 - 659. Suppose -p = p - 4. Solve s + p = -l for s. -2 Let k = 55 + -95. Let j = -36 - k. Let a = 3 - -3. Solve a = -j*x + x for x. -2 Suppose -3*c + 81 - 285 = -5*q, -c + 114 = 3*q. Suppose -2*v - 35 = -q. Solve 2*l + v = -6 for l. -4 Suppose 2*y + 5*o - 34 = 0, 7*y - 19 = 6*y - 3*o. Let d(c) = -c**3 + 9*c**2 - 15*c + 7. Let m be d(y). Solve m = -x - 4*x + 5 for x. 1 Let v be 1*6 + 3 + -6. Suppose 4*h - 11 = v*h. Let l = 7 + h. Solve 3*a = l - 6 for a. 4 Let m(h) = -h**2 - 46*h + 205. Let v be m(-50). Let o = 5 - 3. Suppose -p = -0 - o. Solve -t + p*t = -v for t. -5 Let i(v) = 5 - 3*v**3 + 9*v**2 + 3*v**2 + 2*v**3. Let l be 5 + (-13)/(-2) - 1/(-2). Let j be i(l). Solve -5*c = -j - 10 for c. 3 Suppose b = -d + 5*d + 110, 0 = -b - 5*d + 65. Solve 2 = -b*g + 91*g for g. 2 Suppose -3*g = 3*o, -3*o + g = -5 + 17. Let u be 3 + (8/12 - o/9). Solve -5 = -u*j + 7 for j. 3 Let x be ((-20)/(-30))/(4/30). Let y = 13 - x. Suppose 0 = -2*b + 8 + y. Solve j = -j - b for j. -4 Let q = 16 + -12. Suppose -18*d - q = -19*d. Solve b - 1 + d = 0 for b. -3 Suppose 3*d + 6 = 4*k - 9, 5*k - d - 5 = 0. Suppose 6*p - 11*p = -10. Suppose -5*y + 4 + 3 = 4*b, 5*y - 19 = p*b. Solve -y*u - 6 = -k for u. -2 Let s be ((-8)/(-5))/(84/525). Solve -2*k = -12 + s for k. 1 Let g(p) = 7*p - 8. Let c be g(6). Let a = -14 + c. Let m(h) = h - 44. Let k be m(48). Solve k*t = -t + a for t. 4 Let k(j) = -4*j + 1. Let s be k(4). Let z = 17 + s. Suppose -v - 5*h + h = -8, -4*h = -z*v - 8. Solve 3*l + v*l - 12 = 0 for l. 4 Let w be 48/(-9) + 4 + 28/(-6). Let r be (w/(-9))/((-8)/(-84)). Solve -19 = 4*a - r for a. -3 Let j(n) = -n - 7. Let c be j(-5). Let u be 17/3 - c/(-3). Suppose l - u = 1. Solve 2*m = l*m for m. 0 Suppose -3*v + 3 = -9. Suppose 3*b - 5*b = -v. Suppose -d + h = -4*d + 10, -h + 4 = 0. Solve -d - 2 = -b*i for i. 2 Let b = 181 - 177. Solve r = -b*r - 25 for r. -5 Let m(w) = w**3 - 7*w**2 - 8*w. Let t be m(8). Suppose t = 6*h - 11*h + 65. Let g = -5 + 7. Solve 5*x + h = -g for x. -3 Let w be (12/(-7))/((-8)/28). Let n(m) be the second derivative of -m**4/12 + 5*m**3/6 + 9*m**2/2 + 12*m. Let f be n(w). Solve 5 = u + f for u. 2 Let k(s) be the first derivative of 6 + 0*s**2 + 1/4*s**4 + 0*s + 2/3*s**3. Let y be k(-2). Solve y = -5*p - 12 - 3 for p. -3 Suppose -2*b - 4 - 4 = 4*u, 4*u - 5*b - 20 = 0. Solve u = -99*f + 97*f + 4 for f. 2 Let z = 112 + -108. Solve 0*i + z*i = 8 for i. 2 Suppose -5*f + 23 = 4*y, -4*y = -3*f - 11 + 44. Suppose 0 = 5*b - 5, f*x - 5*b = 9*x - 21. Let s be (-1)/(-2) - (-10)/4. Solve -s*q - x = -2 for q. -2 Suppose 0 = 2*x + x - 12. Solve 10 = -x*a + 2*a for a. -5 Let m be 345/21 + (-12)/28. Suppose t + 2*t - a - 44 = 0, -2*t - 2*a = -m. Solve -t = 2*u - 3 for u. -5 Let n = 31 + -18. Suppose 223 = -5*w + 28. Let l = w - -42. Solve 5*f + l = n for f. 2 Suppose -o = -5*m + m + 20, 0 = -2*m - o + 16. Solve -m*n + 15 = -n for n. 3 Suppose -2*o - 1735 + 1793 = 0. Solve 0 = -8*f - o - 3 for f. -4 Let z = -179 + 179. Solve 4*j + j + 5 = z for j. -1 Suppose -41*b - 1302 = -72*b. Solve -36 = -3*f - b for f. -2 Let g(s) = 2*s + 10. Let z be g(10). Suppose 4*v + v = -z. Let i be (18/(-27))/(2/v). Solve i = r - 2 for r. 4 Let s = -4 - -3. Let y = s - -5. Let u = 687 - 662. Solve u = y*m + m for m. 5 Suppose 19 = -2*j + 13. Let v be 72/(-2)*1/j. Solve -2*t + v = -6*t for t. -3 Suppose 5*c + 0*h + 3*h - 23 = 0, -h = 5*c - 31. Suppose -3*u = -s + 7, 5*s = 2*u + u + 23. Suppose c*a = s*a. Solve a = r - 2 - 1 for r. 3 Let l = 37 + -35. Let w(p) = 3 + 7*p - p**l + 3 + 0 - 8*p. Let k be w(0). Solve 0 = -3*n + 3 + k for n. 3 Let g(n) = n**3 - n**2 - n + 2. Let h be g(2). Let b be 0/((0 + h)/(-4)). Suppose -3*m + 19 = 7. Solve m*d - 12 = -b*d for d. 3 Suppose 2*j - 10 = -2*b - j, 5*b - 12 = -j. Solve -7 = -b*m + 1 for m. 4 Let h(y) = y**3 + 12*y**2 + 11*y + 29. Let r be h(-11). Let v = 32 - r. Solve -v*j - 15 = -0*j for j. -5 Let x be (3 - 24/9)*18. Suppose 4*u = -4*r - 20, 5*r + x - 1 = -3*u. Let m = u - -13. Solve -1 + m = -w for w. -2 Suppose -4*v = -20 + 12. Solve 0 = -0*x + v*x + x for x. 0 Let g(r) = -r**2 - 11*r - 4. Let j be g(-10). Let i be (0 + j/10)*5. Solve i + 3 = -2
{ "pile_set_name": "DM Mathematics" }
0, 1, 8 Let 7*q**4/4 - 103*q**3/4 - 39*q**2 + 47*q + 16 = 0. Calculate q. -2, -2/7, 1, 16 Determine o so that -o**3/5 + 19*o**2/5 - 119*o/5 + 49 = 0. 5, 7 Factor -4*c**3/3 - 32*c**2 + 1680*c - 40768/3. -4*(c - 14)**2*(c + 52)/3 What is b in -5*b**4 - 5*b**3 + 10*b**2 = 0? -2, 0, 1 Solve -44*m**2 + 212*m - 144 = 0. 9/11, 4 Factor p**4 - 229*p**3 + 17082*p**2 - 383292*p - 2372760. (p - 78)**3*(p + 5) Determine w, given that 9*w**5/2 + 39*w**4/2 - 19*w**3 - 17*w**2 + 29*w/2 - 5/2 = 0. -5, -1, 1/3, 1 Factor -s**2/2 - 34*s + 70. -(s - 2)*(s + 70)/2 Determine v so that v**5/3 - 7*v**4/3 - 19*v**3/3 + 7*v**2/3 + 6*v = 0. -2, -1, 0, 1, 9 Factor 39*d**3/5 + 153*d**2/5 + 144*d/5 - 12/5. 3*(d + 2)**2*(13*d - 1)/5 Factor 2*k**5/3 + 20*k**4/3 + 34*k**3/3 + 16*k**2/3. 2*k**2*(k + 1)**2*(k + 8)/3 Factor -3*w**2/7 - 852*w/7 - 849/7. -3*(w + 1)*(w + 283)/7 Suppose 40*x**3/3 + 15*x**2 - 235*x/3 - 10 = 0. What is x? -3, -1/8, 2 Determine a so that -10*a**2 - 45*a - 20 = 0. -4, -1/2 Factor 25*c**3/2 - 65*c**2 + 125*c/2 - 10. 5*(c - 4)*(c - 1)*(5*c - 1)/2 Suppose -8*w**3/11 - 6*w**2/11 + 18*w/11 - 4/11 = 0. What is w? -2, 1/4, 1 Determine f so that -27*f**2 + 33*f/5 + 102/5 = 0. -34/45, 1 Factor -m**4/5 + 2*m**3 - 23*m**2/5 + 14*m/5. -m*(m - 7)*(m - 2)*(m - 1)/5 Solve 3*z**4 + 9*z**3 - 156*z**2 - 756*z - 864 = 0. -6, -3, -2, 8 Suppose -3*b**4 - 111*b**3 - 1293*b**2 - 5901*b - 8820 = 0. What is b? -20, -7, -3 Factor 165*t**2 - 201*t + 36. 3*(t - 1)*(55*t - 12) Suppose -r**3/2 - 5*r**2 + 156*r - 288 = 0. What is r? -24, 2, 12 Determine h so that -2*h**3/17 - 12*h**2/17 - 18*h/17 = 0. -3, 0 Determine p, given that -4*p**4 - 32*p**3 + 612*p**2 + 5840*p + 5200 = 0. -10, -1, 13 Factor -5*d**4 + 20*d**2. -5*d**2*(d - 2)*(d + 2) Solve -4*a**5 + 88*a**4 + 412*a**3 + 128*a**2 - 624*a = 0 for a. -3, -2, 0, 1, 26 What is t in -605*t**5/2 + 1705*t**4/2 + 3625*t**3/2 - 5405*t**2/2 - 5920*t - 2560 = 0? -1, 32/11 What is i in 2*i**4/13 + 84*i**3/13 + 794*i**2/13 - 1848*i/13 + 968/13 = 0? -22, 1 Factor 4*n**3 + 54*n**2/7 + 24*n/7 - 2/7. 2*(n + 1)**2*(14*n - 1)/7 Solve -2*j**4/5 - 2*j**3 + 2*j**2/5 + 2*j = 0 for j. -5, -1, 0, 1 Factor -5*j**3 - 60*j**2 + 135*j - 70. -5*(j - 1)**2*(j + 14) Factor -i**3/4 - 377*i**2/4 - 94*i. -i*(i + 1)*(i + 376)/4 Factor -3*y**4 + 36*y**3 - 129*y**2 + 180*y - 84. -3*(y - 7)*(y - 2)**2*(y - 1) Factor -m**3/2 - 11*m**2/2 - 19*m/2 - 9/2. -(m + 1)**2*(m + 9)/2 Factor -4*z**2 - 64*z - 60. -4*(z + 1)*(z + 15) Suppose -4*b**4/7 - 616*b**3 - 166012*b**2 = 0. Calculate b. -539, 0 Find f such that 12*f**5 - 35*f**4 - 268*f**3 + 269*f**2 + 46*f - 24 = 0. -4, -1/3, 1/4, 1, 6 Factor k**3/8 + k**2/4 - 13*k/8 + 5/4. (k - 2)*(k - 1)*(k + 5)/8 Let 2*m**2/19 - 16*m/19 + 30/19 = 0. Calculate m. 3, 5 Solve 75*x**3 + 70*x**2 - 75*x - 70 = 0. -1, -14/15, 1 Factor 5*m**4 - 20*m**3 - 55*m**2 - 30*m. 5*m*(m - 6)*(m + 1)**2 Suppose -44*x**5 + 79*x**4 + 663*x**3 + 326*x**2 - 604*x + 120 = 0. What is x? -2, 1/4, 6/11, 5 Let 5*u**4 - 5*u**3 - 35*u**2 + 5*u + 30 = 0. Calculate u. -2, -1, 1, 3 Let -n**2 - 81*n - 80 = 0. What is n? -80, -1 Find c, given that c**3/10 - 23*c**2/5 + 89*c/10 - 22/5 = 0. 1, 44 Factor -4*i**2/5 + 116*i/5 + 24. -4*(i - 30)*(i + 1)/5 Factor -9*f**5/7 - 30*f**4/7 - 30*f**3/7 + 15*f/7 + 6/7. -3*(f + 1)**4*(3*f - 2)/7 Suppose -o**2/8 - 37*o/4 - 585/8 = 0. What is o? -65, -9 Factor 2*o**2/5 + 19896*o/5 + 49481352/5. 2*(o + 4974)**2/5 Factor -2*w**2/11 - 58*w/11 - 240/11. -2*(w + 5)*(w + 24)/11 Factor 4*v**3/3 + 92*v**2. 4*v**2*(v + 69)/3 Determine o so that -o**5 + 7*o**4 - 15*o**3 + 9*o**2 = 0. 0, 1, 3 Suppose -3*l**4/4 - 267*l**3/2 - 22107*l**2/4 + 36846*l - 57132 = 0. What is l? -92, 3 Solve 6*n**5/11 - 26*n**4/11 - 12*n**3/11 + 96*n**2/11 - 64*n/11 = 0. -2, 0, 1, 4/3, 4 Solve s**2/9 - 1600*s/9 = 0. 0, 1600 Factor 5*p**2 - 250*p + 245. 5*(p - 49)*(p - 1) Suppose -2*i**3/9 + 20*i**2/3 - 58*i/9 = 0. What is i? 0, 1, 29 Factor -n**2 - 2*n + 120. -(n - 10)*(n + 12) Determine h so that 15*h**4 - 275*h**3 - 3565*h**2 + 1395*h + 2430 = 0. -9, -2/3, 1, 27 Factor 3*g**2 + 870*g + 63075. 3*(g + 145)**2 Factor 5*j**3 + 40*j**2 + 85*j + 50. 5*(j + 1)*(j + 2)*(j + 5) Factor -6*y**2 + 27*y. -3*y*(2*y - 9) Factor 5*n**5 + 60*n**4 + 235*n**3 + 300*n**2. 5*n**2*(n + 3)*(n + 4)*(n + 5) Factor z**4/5 + 3*z**3 + 81*z**2/5 + 37*z + 30. (z + 2)*(z + 3)*(z + 5)**2/5 Suppose -3*h**2 + 123*h - 1044 = 0. What is h? 12, 29 Solve 5*v**2 - 55*v - 60 = 0 for v. -1, 12 Suppose y**2 + 615*y = 0. Calculate y. -615, 0 Find g such that 5*g**5/3 - 37*g**4/3 - 58*g**3 - 250*g**2/3 - 151*g/3 - 11 = 0. -1, -3/5, 11 Suppose -j**4/2 - 25*j**3 - 457*j**2/2 + 2100*j - 3528 = 0. Calculate j. -28, 3 Factor g**2 - 51*g - 52. (g - 52)*(g + 1) Factor c**3/2 + 127*c**2 + 16625*c/2 + 31250. (c + 4)*(c + 125)**2/2 Determine k so that -6*k**4/5 - 156*k**3/5 - 168*k**2 + 2352*k/5 = 0. -14, 0, 2 Factor 8*a**5 - 156*a**4 + 76*a**3. 4*a**3*(a - 19)*(2*a - 1) Factor 4*x**2 + 632*x + 628. 4*(x + 1)*(x + 157) Suppose 2*l**2 - 130*l - 268 = 0. What is l? -2, 67 Let -f**3 - 304*f**2 - 605*f - 302 = 0. Calculate f. -302, -1 Solve 2*h**2/5 + 92*h/5 + 816/5 = 0 for h. -34, -12 Factor -5*f**2 + 34180*f - 58413620. -5*(f - 3418)**2 Determine d so that -4*d**3 - 16*d**2 - 20*d - 8 = 0. -2, -1 Find x, given that -2*x**4 - 16*x**3 + 2*x**2 + 16*x = 0. -8, -1, 0, 1 Suppose 4*x**2 + 208*x = 0. Calculate x. -52, 0 Find j such that -6084*j**2 + 21840*j - 19600 = 0. 70/39 Factor -12*p**3 - 189*p**2 - 132*p + 45. -3*(p + 1)*(p + 15)*(4*p - 1) Factor k**4 - 5*k**3 - 61*k**2 - 55*k. k*(k - 11)*(k + 1)*(k + 5) Factor -2*j**2 + 22*j - 60. -2*(j - 6)*(j - 5) What is q in 27*q**3 + 1884*q**2/5 + 1671*q/5 - 78/5 = 0? -13, -1, 2/45 Factor -5*b**3 + 605*b**2 - 24075*b + 313875. -5*(b - 45)**2*(b - 31) Factor -2*u**3 + 150*u**2 - 2886*u + 2738. -2*(u - 37)**2*(u - 1) Solve -u**2/7 - 33*u/7 - 200/7 = 0 for u. -25, -8 What is t in 3*t**3 - 27*t**2 + 33*t + 63 = 0? -1, 3, 7 Suppose -2*y**5/5 - 826*y**4/5 - 1646*y**3/5 - 822*y**2/5 = 0. Calculate y. -411, -1, 0 Suppose 4*u**4/3 - 128*u**3/3 = 0. What is u? 0, 32 Suppose -4*w**2 - 788*w - 3088 = 0. What is w? -193, -4 Factor c**2 + 417*c - 2538. (c - 6)*(c + 423) Suppose 3*t**5 + 81*t**4 + 198*t**3 - 4566*t**2 + 12087*t - 7803 = 0. What is t? -17, 1, 3 What is t in 75*t**2 - 1740*t + 10092 = 0? 58/5 Factor 2*u**3/19 - 6*u**2/19 + 6*u/19 - 2/19. 2*(u - 1)**3/19 Suppose -s**5/2 + 5*s**4 - 33*s**3/2 + 18*s**2 = 0. What is s? 0, 3, 4 Suppose 30*m**3 - 273*m**2 + 21*m + 54 = 0. Calculate m. -2/5, 1/2, 9 Factor 5*a**3 + 855*a**2 - 3480*a + 3500. 5*(a - 2)**2*(a + 175) Determine p so that 27*p**4/2 + 63*p**3 + 183*p**2/8 - 495*p/8 - 75/2 = 0. -4, -5/6, 1 Find l, given that 3*l**2 + 15*l - 42 = 0. -7, 2 Let -1536*x**5 + 128*x**4 + 14056*x**3 - 9292*x**2 - 12720*x - 2736 = 0. Calculate x. -19/6, -3/8, 2 Factor -f**2/4 - 11*f/4 - 5/2. -(f + 1)*(f + 10)/4 Factor 3*z**3/4 + 15*z**2/4 + 3*z. 3*z*(z + 1)*(z + 4)/4 Factor 2*f**3/17 + 12*f**2/17 - 126*f/17 - 784/17. 2*(f - 8)*(f + 7)**2/17 Determine d so that 42*d**2 - 843*d + 1518 = 0. 2, 253/14 Solve -27*z**3 + 1440*z**2 - 1884*z + 624 = 0 for z. 2/3, 52 Let 5*c**5/2 + 10*c**4 + 15*c**3/2 - 10*c**2 - 10*c = 0. What is c? -2, -1, 0, 1 Suppose 2*r**4/5 + 892*r**3/5 + 100346*r**2/5 + 198024*r/5 + 98568/5 = 0. Calculate r. -222, -1 What is g in 2*g**4 - 70*g**3 + 316*g**2 - 488*g + 240 = 0? 1, 2, 30 Factor 4802*t**5/3 - 34300*t**4/3 + 32340*t**3 - 45360*t**2 + 31590*t - 8748. 2*(t - 2)*(7*t - 9)**4/3 Solve -2*m**3 - 68*m**2/7 - 74*m/7 + 12/7 = 0. -3, -2, 1/7 Let -3*h**4/5 + 27*h**3/5 + 408*h**2/5 = 0. What is h? -8, 0, 17 Factor -2*b**4/15 - 4*b**3/3 - 22*b**2/5 - 24*b/5. -2*b*(b + 3)**2*(b + 4)/15 Determine d so that -d**4 - 142*d**3 + 288*d**2 = 0. -144, 0, 2 Determine m so that 21*m**5 + 11271*m**4 + 30483*m**3 + 24033*m**2 + 1596*m - 3204 = 0. -534, -1, 2/7 Factor o**5/3 - o**3 - 2*o**2/3. o**2*(o - 2)*(o + 1)**2/3 Suppose 2*a**2 - 50*a + 288 = 0. What is a? 9, 16 Factor -2*o**4/7 + 8*o**3 - 56*o**2. -2*o**2*(o - 14)**2/7 Determine g, given that 5*g**4 - 35*g**3 - 45*g**2 + 35*g + 40 = 0. -1, 1, 8 Factor 4*i**2 - 36*i + 56. 4*(i - 7)*(i - 2) Solve -8788*d**4 + 10816*d**3 - 2184*d**2 + 160*d - 4 = 0 for d. 1/13, 1 Find g such that 3*g**4/2 - 3*g**3 - 9*
{ "pile_set_name": "DM Mathematics" }
et g(o) = -7*o. Let f(r) = -10*r**2. What is f(g(m))? -490*m**2 Let h(n) be the first derivative of n**4/24 + n**2/2 - 1. Let i(f) be the second derivative of h(f). Let m(v) = v**2 - 2*v**2 - 13*v + 13*v. Calculate m(i(a)). -a**2 Let t(y) = 9*y**2. Let v(x) = -x + 1. Let c(j) = 8*j - 9. Let r(a) = -2*c(a) - 18*v(a). Calculate r(t(n)). 18*n**2 Let t(n) = -n**2 + 0 + 0. Let p(u) be the third derivative of 2*u**2 + 0*u**3 + 0*u - 1/8*u**4 + 0. Determine p(t(y)). 3*y**2 Let c(a) be the second derivative of -1/6*a**3 + 0 + 0*a**2 + 2*a. Let f(i) = -10*i. What is f(c(w))? 10*w Let t(x) = -2*x. Let d(k) be the third derivative of 29*k**4/24 - 3*k**2. What is d(t(i))? -58*i Let z(n) = n**2. Suppose h - 2*h = 16. Let x(c) = -10*c. Let j be 3/(-2)*6/(-3). Let b(y) = -2*y. Let o(u) = h*b(u) + j*x(u). Determine o(z(r)). 2*r**2 Suppose 6*u - 2*u = 4*j, 0 = 5*j + 2*u - 21. Let k(g) = -j*g + 2*g + 2*g. Let a(i) be the first derivative of -i**3 - 3. Give a(k(v)). -3*v**2 Let m(u) = -20*u. Let y(x) be the first derivative of -x**5/60 - 4*x**3/3 - 2. Let g(k) be the third derivative of y(k). Calculate m(g(w)). 40*w Let u(z) = -203*z. Let s(k) = -30*k. Give s(u(h)). 6090*h Let f(m) = -3*m**2 - 22*m. Let l(q) = q**2. Determine f(l(p)). -3*p**4 - 22*p**2 Let b(n) = 3. Let d(r) = r - 1. Suppose -4*k = k - 2*l + 11, 3*l - 4 = -5*k. Let c(m) = k*b(m) - 3*d(m). Let i(j) = j**2 - 4*j**2 + 5*j**2. What is c(i(s))? -6*s**2 Let s(w) = 2*w. Suppose -11 + 38 = -3*i. Let l be (-3)/i + (-5)/(-3). Let b(z) = 6 - l*z**2 - 6. Determine s(b(x)). -4*x**2 Let l(g) = -g**2 + g + 1. Let o(a) = -6*a**2 + 4*a + 4. Let t(m) = -4*l(m) + o(m). Let x(n) be the second derivative of -2*n**3/3 + 2*n. Determine x(t(s)). 8*s**2 Let y(v) be the first derivative of v**2 + 1. Let w(m) be the third derivative of 3*m**2 + 0*m + 0*m**3 + 0 - 1/12*m**4. What is w(y(s))? -4*s Let a(v) = 6*v. Let w(d) = -3*d - d + 2*d - d. Give a(w(u)). -18*u Suppose -70 = -4*m - 10. Let z(w) = -5*w + m*w**2 - 9*w**2 + 5*w. Let c(s) = -s. Give c(z(q)). -6*q**2 Let x(a) = 0 - 28*a + 23*a - 1 - 4. Let b(c) = 5*c + 4. Let k(p) = -5*b(p) - 4*x(p). Let m(s) = -2*s**2. Calculate k(m(l)). 10*l**2 Let v(d) = 3*d**2. Let j(h) = h**2 - h - 1. Let m be j(0). Let z = 3 + m. Let x(i) = 0*i + z*i - 4*i. Calculate x(v(a)). -6*a**2 Let w(d) = 2*d - 3. Let t(c) be the third derivative of c**4/8 - 5*c**3/6 - 10*c**2. Let k(r) = -3*t(r) + 5*w(r). Let s(l) = 28*l. What is s(k(n))? 28*n Let w(j) = -78*j. Let m(y) = -y**2. What is m(w(q))? -6084*q**2 Let u(f) = 3*f**2. Let r(z) = 4*z**2 + 54. Determine r(u(g)). 36*g**4 + 54 Let j(n) = 2*n**2 - 4*n**2 - 5*n**2 - 2*n**2. Let k(l) = 2*l**2. What is k(j(i))? 162*i**4 Let m(d) = 4*d**2 - 6*d**2 + 0*d**2. Let t(l) = -10 - 2*l**2 - 2 + 12. What is m(t(v))? -8*v**4 Let y(q) = -q. Let m(p) = -2*p. Let v(x) = -x. Suppose k + 3 - 4 = r, 5*r + 4*k + 41 = 0. Let d(s) = r*m(s) + 12*v(s). Determine y(d(l)). 2*l Let j(u) = -3*u**2 + 3*u**2 - 7*u**2. Let l be (8/(-3))/((-14)/21). Let o(i) = 5*i. Let c(a) = 4*a. Let w(p) = l*c(p) - 3*o(p). Determine w(j(r)). -7*r**2 Let k(i) be the second derivative of -i**5/60 - 7*i**3/6 + 7*i. Let m(u) be the second derivative of k(u). Let j(o) = -12*o**2. Determine m(j(n)). 24*n**2 Let j(l) = -l. Let h(b) = 18*b. Let n(c) = -c. Let a(m) = 3*h(m) + 30*n(m). Give a(j(k)). -24*k Let d(j) = -3 - j + 3. Let c(q) = -6*q + 6*q - 17*q + 9*q**2. Let v(l) = -3*l**2 + 6*l. Let u(i) = -6*c(i) - 17*v(i). What is d(u(b))? 3*b**2 Let p = -161 + 161. Let z(g) be the third derivative of 0*g + g**2 + 0 + 1/60*g**5 + p*g**3 + 0*g**4. Let x(n) = -5*n**2. Determine z(x(j)). 25*j**4 Let s(t) be the second derivative of -t**7/1260 - t**4/3 - 6*t. Let n(w) be the third derivative of s(w). Let o(c) = 6*c. What is o(n(j))? -12*j**2 Let n(v) = -2*v**2. Let k(j) = -2*j**2 + 51*j. Give k(n(x)). -8*x**4 - 102*x**2 Let d(y) = -2*y**2 - y - 2. Let b(g) = -13*g**2 - 6*g - 12. Let j(x) = b(x) - 6*d(x). Let s(l) be the second derivative of -l**3/6 - l. Calculate s(j(f)). f**2 Let p(g) = -6*g**2 + 16*g. Let d(l) = 6*l. Give d(p(s)). -36*s**2 + 96*s Let z(r) = -2*r. Let i(b) = 117*b**2 - 26*b + 26. Let m(w) = 13*w**2 - 3*w + 3. Let y(q) = 3*i(q) - 26*m(q). Determine z(y(g)). -26*g**2 Let h = -2 - 0. Let g(c) = -2*c - 2. Let j be g(h). Let l(v) = -v**2 + v**j - 2*v**2. Let b(y) = -2*y. What is l(b(r))? -8*r**2 Let i(z) = -12*z. Let r(q) be the first derivative of 3*q**2/2 - 20. Determine i(r(n)). -36*n Let i(n) = 41*n. Let v(l) = 7*l**2. Determine v(i(m)). 11767*m**2 Let f(p) = -31*p. Let j(z) = 4*z + 3. Let v(o) = o + 1. Let w(m) = j(m) - 3*v(m). Give f(w(d)). -31*d Let f(o) = o**2. Let l(z) = 601*z. Give l(f(r)). 601*r**2 Let k(v) = 16*v. Let d(i) be the second derivative of -5*i**4/12 + i. Calculate d(k(u)). -1280*u**2 Let d(k) be the second derivative of k**3 - 3*k. Let l(h) = 2*h. Determine l(d(t)). 12*t Let w(d) = 384*d + 1. Let c(o) = o**2. Determine w(c(f)). 384*f**2 + 1 Let r = 25 + -23. Let n(f) be the second derivative of 0*f**r + 2*f + 1/12*f**4 + 0 + 0*f**3. Let y(m) = m. Calculate n(y(d)). d**2 Let s(l) be the third derivative of l**5/12 - l**2. Let h(w) be the second derivative of 0*w**2 + 0 - 4*w + 1/3*w**3. Determine s(h(b)). 20*b**2 Let m(v) be the second derivative of v**3/6 - v. Let k(r) be the third derivative of r**5/20 + r**2. Determine k(m(u)). 3*u**2 Let i(s) = -s**2 + 25*s**2 - 6*s + 6*s. Let x(z) = z. Determine i(x(j)). 24*j**2 Let o(v) = v - 4*v + 3*v - 2*v. Let y(i) = 10*i**2. What is o(y(g))? -20*g**2 Let q(b) = 1. Let f(i) = 2*i - 8. Let u(p) = f(p) + 5*q(p). Let r(t) = -2*t + 2. Let n(c) = -3*r(c) - 2*u(c). Let j(w) = -w. Calculate j(n(l)). -2*l Let s(m) be the third derivative of m**4/12 + 4*m**2. Let w(q) = q**2. Determine s(w(v)). 2*v**2 Suppose 0 = t - 4*q - 24, -t + 3*q = t - 23. Let y(m) = -3*m + m - t*m. Let a(u) = 2*u**2. What is y(a(w))? -12*w**2 Let w(v) = 4*v + 376. Let m(c) = c. Give w(m(b)). 4*b + 376 Let x(g) = 6*g**2 - 7. Let u(b) = 5*b**2 - 6. Let d(q) = 7*u(q) - 6*x(q). Let l(s) = -29*s. Determine d(l(f)). -841*f**2 Let j(r) = -4*r. Let t(d) = 1274*d. Calculate t(j(y)). -5096*y Let s(d) = -347*d**2. Let x(z) = -z. Give x(s(v)). 347*v**2 Let a(g) = -2*g**2. Let q(d) = 8*d**2. Let j = -47 - -26. Let r(f) = -81*f**2. Let o(c) = j*q(c) - 2*r(c). What is a(o(l))? -72*l**4 Suppose -5*z - 2*o = -167, -4 = -4*o - 0. Let b(w) = -4*w + z - 33. Let y(p) = -p**2. What is b(y(x))? 4*x**2 Let v(s) = 5*s**2. Let l(m) = -7*m**2. What is v(l(a))? 245*a**4 Let j(y) = -2*y - 71. Let i(b) = 3*b - 6. What is i(j(l))? -6*l - 219 Let a(q) = 3*q + 8. Let m(w) = 3*w. Determine a(m(x)). 9*x + 8 Let w(r) = -5*r**2. Let h(j) = -5*j - 4. Let n(i) = -4*i - 3. Let t(f) = 3*h(f) - 4*n(f). Determine t(w(d)). -5*d**2 Let h(x) be the second derivative of -x**3/3 + x. Let d = -2 + 2. Let c(m) = d*m - m - 3*m. Give c(h(q)). 8*q Let i(l) = l**2. Let p(y) = 2*y**2 + 228. What is p(i(r))? 2*r**4 + 228 Let j(g) = 29*g**2 - 20*g**2 - 13*g**2. Let a(d) = 16*d**2. Give a(j(t)). 256*t**4 Let v(b) = 3*b**2. Let z(f) be the third derivative of 0*f**3 + 1/12*f**4 + 0 + f**2 + 0*f. Give z(v(s)). 6*s**2 Let g(q) = -2*q. Let u(s) = 4*s. Let f(t) = t. Let w(x) = x**2 + 3*x - 4. Let p be w(-3). Let d(r) = p*u(r) + 18*f(r). Calculate g(d(j)). -4*j Let r(h) = 3*h - 2*h + 2*h. Let d(f) be the second derivative of 2*f - 1/6*f**3 + 0 + 0*f**2. Give r(d(k)). -3*k Let x(n) = -80*n. Let f(j) = -2*j**2 - 219*j. Calculate x(f(v)). 160*v**2 + 17520*v Let t(k) = 3*k**2. Let q(g) be the first derivative of 4*g**3/3 - 3. Determine t(q(r)). 48*r**4 Let w(c) = -c**2 - 382*c + 382*c. Let z(o) = -o - 3. Determine z(w(h)). h**2 - 3 Let v(q) = -3*q**2. Let k(y) = -18*y**2. Give k(v(i)). -162*i**4 Let v(o) = -2*o**2. Suppose 4*r = 5*r - 27. Let x(z) = -27 + r + 3*z. Give v(x(j)). -18*j**2 Let u = 20 + -14. Let f(k) = 0 - u*k + 10*k + 0. Let c(a) = -3*a**2. Calculate f(c(s)). -12*s**2 Let z(v) be the third derivative of v**8/5040 - v**5/20 + 6*v**2. Let c(q) be the third derivative of z(q). Let o(y) = 3*y**2. Calculate o(c(t)). 48*t**4 Suppose 0*y = -y + 1, 3*y = -5*l + 13. Let x(c) = 5*c**2 - 2*c**2 - 3*c**l - c**2. Let p(i) = 0*i + 2*i**2 + 0*i. What is x(p(w))? -4*w**4 Let h(k) = -18*k. Let a(b) = 3*b**2. Calculate h(a(l)). -54
{ "pile_set_name": "DM Mathematics" }
5 Two letters picked without replacement from {o: 3, v: 1, z: 2, l: 1}. Give prob of picking 1 o and 1 z. 2/7 Three letters picked without replacement from {b: 2, t: 3, n: 1, x: 1}. Give prob of picking 1 t, 1 x, and 1 n. 3/35 What is prob of picking 3 j and 1 h when four letters picked without replacement from {h: 4, j: 6}? 8/21 What is prob of picking 2 t, 1 n, and 1 g when four letters picked without replacement from {g: 2, t: 4, n: 8}? 96/1001 Four letters picked without replacement from {r: 5, u: 2, h: 5}. Give prob of picking 4 r. 1/99 What is prob of picking 2 n when two letters picked without replacement from nrenernnenee? 5/33 Two letters picked without replacement from imiimwwwmmmw. What is prob of picking 1 w and 1 i? 2/11 What is prob of picking 2 m when two letters picked without replacement from {q: 1, m: 2, f: 1}? 1/6 What is prob of picking 3 s and 1 r when four letters picked without replacement from {s: 3, r: 2}? 2/5 Four letters picked without replacement from aarraarrarrraavaaam. What is prob of picking 3 r and 1 v? 35/3876 What is prob of picking 2 a and 2 d when four letters picked without replacement from {d: 8, a: 6, u: 1}? 4/13 Calculate prob of picking 3 m when three letters picked without replacement from mmmnnfffnmfffffmmfm. 35/969 What is prob of picking 3 k when three letters picked without replacement from kkyfkfkukkuukf? 5/52 Two letters picked without replacement from {c: 3, y: 1}. What is prob of picking 1 y and 1 c? 1/2 What is prob of picking 1 z and 1 r when two letters picked without replacement from {d: 1, u: 2, v: 1, r: 2, x: 2, z: 1}? 1/18 Calculate prob of picking 1 z and 3 s when four letters picked without replacement from {o: 3, s: 4, z: 2, d: 1, w: 7}. 2/595 Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {h: 4, v: 3, w: 2, g: 3, m: 3, p: 1}. 1/20 Two letters picked without replacement from qrqrrqrr. What is prob of picking 2 r? 5/14 Calculate prob of picking 1 n, 2 m, and 1 r when four letters picked without replacement from {m: 3, c: 2, n: 2, r: 4, y: 2}. 24/715 Two letters picked without replacement from udbal. Give prob of picking 1 u and 1 l. 1/10 Three letters picked without replacement from {j: 1, b: 1, s: 1, l: 1, o: 1}. What is prob of picking 1 s, 1 j, and 1 l? 1/10 Two letters picked without replacement from hhuhvaavhaghrvhavhva. What is prob of picking 1 v and 1 h? 7/38 Four letters picked without replacement from {s: 8, f: 2, e: 5}. Give prob of picking 2 s and 2 e. 8/39 Three letters picked without replacement from {v: 2, i: 1, a: 1, c: 1, h: 2}. What is prob of picking 1 i and 2 v? 1/35 What is prob of picking 2 b when two letters picked without replacement from {v: 1, b: 5, p: 1, g: 1, o: 3}? 2/11 What is prob of picking 1 x and 2 b when three letters picked without replacement from xxxttxxbxxbbxbbbexe? 45/323 Three letters picked without replacement from {f: 1, m: 1, s: 2, d: 2, l: 1}. What is prob of picking 1 m and 2 d? 1/35 Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {p: 2, t: 4, s: 2, y: 4}. 6/55 Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qhjqqqtqqwbqwwqj. 1/15 Two letters picked without replacement from {g: 5, e: 5, o: 3, d: 2, w: 5}. Give prob of picking 1 w and 1 e. 5/38 Calculate prob of picking 2 q when two letters picked without replacement from qqppqq. 2/5 Three letters picked without replacement from {s: 5, q: 7}. What is prob of picking 3 q? 7/44 Three letters picked without replacement from {c: 1, o: 2, x: 1, j: 1}. What is prob of picking 1 x, 1 c, and 1 j? 1/10 What is prob of picking 1 u and 1 m when two letters picked without replacement from ykkkkmuku? 1/18 Calculate prob of picking 2 r when two letters picked without replacement from vrggr. 1/10 Three letters picked without replacement from {n: 7, e: 2, f: 7}. Give prob of picking 2 f and 1 e. 3/40 What is prob of picking 3 b and 1 e when four letters picked without replacement from bbbebe? 8/15 Calculate prob of picking 2 z and 1 p when three letters picked without replacement from zezeucupee. 1/120 Two letters picked without replacement from {l: 2, r: 10}. What is prob of picking 2 l? 1/66 What is prob of picking 2 c when two letters picked without replacement from {k: 12, j: 1, c: 6}? 5/57 Two letters picked without replacement from atpupa. What is prob of picking 1 p and 1 a? 4/15 Two letters picked without replacement from ggllz. What is prob of picking 2 l? 1/10 Calculate prob of picking 1 b, 1 h, and 2 c when four letters picked without replacement from ncccccccbchcbb. 108/1001 What is prob of picking 1 a, 1 v, and 1 l when three letters picked without replacement from {q: 1, a: 3, v: 2, y: 2, l: 4, s: 3}? 24/455 Two letters picked without replacement from {n: 2, z: 1, c: 2, d: 1, i: 1, g: 2}. What is prob of picking 1 g and 1 z? 1/18 What is prob of picking 2 z and 1 x when three letters picked without replacement from zpzpdzzzppzdzxzpzzz? 55/969 Three letters picked without replacement from hhhshhhhsh. Give prob of picking 1 h and 2 s. 1/15 What is prob of picking 1 m and 3 b when four letters picked without replacement from bbbbbbbbbbmb? 1/3 Two letters picked without replacement from {q: 5, m: 2, r: 2, b: 1, k: 8}. Give prob of picking 1 b and 1 r. 2/153 Two letters picked without replacement from {t: 2, e: 5, d: 5}. What is prob of picking 1 t and 1 e? 5/33 Two letters picked without replacement from oqo. What is prob of picking 1 q and 1 o? 2/3 Calculate prob of picking 1 w and 3 u when four letters picked without replacement from wwwwwuwwuwuw. 1/55 What is prob of picking 1 s and 3 n when four letters picked without replacement from {n: 9, s: 11}? 308/1615 Three letters picked without replacement from wowyzokwwkooozo. Give prob of picking 1 w, 1 k, and 1 z. 16/455 Four letters picked without replacement from rcwwcwrwrw. Give prob of picking 2 w, 1 c, and 1 r. 2/7 What is prob of picking 1 r and 1 j when two letters picked without replacement from {v: 1, r: 1, j: 1}? 1/3 What is prob of picking 1 w and 1 c when two letters picked without replacement from {a: 1, w: 2, c: 1}? 1/3 Two letters picked without replacement from {e: 3, i: 3, v: 1, a: 3, l: 7, p: 1}. Give prob of picking 1 l and 1 e. 7/51 Four letters picked without replacement from wwwwwgwawwawwwwww. What is prob of picking 2 w, 1 g, and 1 a? 13/170 Three letters picked without replacement from {g: 7, y: 1}. Give prob of picking 1 y and 2 g. 3/8 What is prob of picking 2 z when two letters picked without replacement from zzzffuswz? 1/6 Three letters picked without replacement from {n: 15, k: 4}. Give prob of picking 2 k and 1 n. 30/323 Two letters picked without replacement from {t: 8, l: 4, x: 1, j: 7}. Give prob of picking 1 x and 1 l. 2/95 What is prob of picking 3 c when three letters picked without replacement from icririicicrciicivrmr? 1/114 What is prob of picking 1 p and 1 a when two letters picked without replacement from pxpyhgphagyy? 1/22 Two letters picked without replacement from eznsns. Give prob of picking 1 z and 1 e. 1/15 Two letters picked without replacement from jjyjnnjjjqjjyyjjjjj. What is prob of picking 1 n and 1 j? 26/171 What is prob of picking 2 a when two letters picked without replacement from {w: 2, s: 11, i: 1, a: 4, g: 1}? 2/57 Two letters picked without replacement from llaapazlapaz. Give prob of picking 2 z. 1/66 Four letters picked without replacement from {f: 5, g: 1, u: 5}. Give prob of picking 3 u and 1 f. 5/33 Three letters picked without replacement from {a: 6, f: 10, q: 4}. Give prob of picking 3 a. 1/57 What is prob of picking 2 o and 1 b when three letters picked without replacement from {o: 6, b: 2}? 15/28 What is prob of picking 3 u and 1 x when four letters picked without replacement from {u: 1, w: 4, p: 6, x: 5, r: 4}? 0 Calculate prob of picking 1 p and 2 n when three letters picked without replacement from nddnnnp. 6/35 Three letters picked without replacement from ieeiiiiddeieeeei. Give prob of picking 1 e, 1 d, and 1 i. 7/40 Two letters picked without replacement from zgtttzriizittzz. Give prob of picking 1 t and 1 r. 1/21 What is prob of picking 1 r and 2 g wh
{ "pile_set_name": "DM Mathematics" }
ich is the smallest value? (a) -1 (b) -0.4 (c) -706 c Which is the second smallest value? (a) 2 (b) -1/3 (c) 959 (d) -4 (e) -1 e Which is the third smallest value? (a) 1 (b) 3 (c) 5/6 (d) 4/9 a Which is the third biggest value? (a) 0.5 (b) -4 (c) 2/15 (d) -33 b What is the third smallest value in 1, -4, 5, -0.5, -0.28? -0.28 Which is the third biggest value? (a) 1.5 (b) 2 (c) -4 c What is the smallest value in -3, 0.1, 0.5, -0.83, 6? -3 Which is the third biggest value? (a) -3/13 (b) 3 (c) -1.7 (d) 0 a Which is the fourth biggest value? (a) -16 (b) 5 (c) -0.3 (d) 2/7 a Which is the third biggest value? (a) 5 (b) -5 (c) 0.47 b What is the second biggest value in -495, -4/7, -0.2, -0.3, 0? -0.2 What is the second smallest value in 4/7, -0.4, 0.2, -0.034? -0.034 Which is the smallest value? (a) -2/5 (b) -4/7 (c) 58 b Which is the second biggest value? (a) 0.1 (b) 0.472 (c) -2/11 a What is the second smallest value in 2/9, -3, 1/5, 1/4? 1/5 What is the third smallest value in 13, -0.07, 1, 4? 4 What is the fourth biggest value in -19/3, -2, -0.3, -3, 5? -3 Which is the third biggest value? (a) 3 (b) -76 (c) 2 b Which is the third smallest value? (a) -18 (b) -3 (c) 27.2 c What is the second biggest value in 5, -492, 4/5? 4/5 What is the biggest value in 1/4, 0.6, 0.4, -2/703? 0.6 Which is the smallest value? (a) 5 (b) -2 (c) -5 (d) -0.3 c What is the biggest value in 1/5, -2/19, -0.5, -0.3? 1/5 Which is the biggest value? (a) 3 (b) -3120 (c) 4/7 a Which is the third biggest value? (a) -0.03 (b) 4/5 (c) -3 (d) -4 c Which is the biggest value? (a) -0.5 (b) 5 (c) 0 (d) 3 b Which is the fourth biggest value? (a) -3 (b) -0.1 (c) -46 (d) -2 c What is the second smallest value in 2/5, 1, -11/4? 2/5 Which is the second smallest value? (a) 0 (b) 1/2 (c) 3/4 (d) 2/5 (e) 6/13 d Which is the third biggest value? (a) -3 (b) -0.3 (c) -5 (d) 118 a What is the third biggest value in -1/32, -0.6, 0.3? -0.6 What is the biggest value in 0.3, 4/31, 0.2? 0.3 What is the fourth smallest value in -1/8, 0, -0.2, 14? 14 What is the third smallest value in 1/8, -2, -3/10? 1/8 Which is the fourth biggest value? (a) 0.3 (b) 2/17 (c) -604 (d) 0.1 c What is the third smallest value in 1/9, 2/15, -4/5, -4, -3/5? -3/5 Which is the smallest value? (a) -1 (b) -0.09 (c) -0.3 (d) 19/3 a Which is the third biggest value? (a) -11 (b) -3/8 (c) -2/7 (d) 0.4 b Which is the third smallest value? (a) -1 (b) 2/7 (c) -5 (d) 35 b What is the third biggest value in 5, -10, 3/7, 4/3? 3/7 Which is the second biggest value? (a) 1/4 (b) -2/7 (c) -5/3 (d) 0.1 (e) -0.1 d Which is the third smallest value? (a) 0 (b) -2/9 (c) 27 (d) -0.5 (e) -0.2 e What is the biggest value in 10, -5, 11? 11 What is the second smallest value in 3/2, -7, -4, 14, -2? -4 Which is the third biggest value? (a) -0.2 (b) -0.5 (c) -117 (d) -4 d Which is the third smallest value? (a) 1/27928 (b) 3 (c) 5 (d) 0.5 b What is the second biggest value in -5, 3/4, 0.4, -2? 0.4 Which is the biggest value? (a) 1/3 (b) 1/5 (c) -0.03 a What is the biggest value in -4/9, 4, 11, 2/21? 11 What is the fourth biggest value in 5, 0, -5, 0.3? -5 Which is the fourth biggest value? (a) -37 (b) 0 (c) 1 (d) -1 (e) 64 d Which is the biggest value? (a) 1/10 (b) 2 (c) -1/4 (d) 2/13 (e) 0.06 b What is the smallest value in -0.5, 2/15, 1, 5/2, 7? -0.5 What is the smallest value in -5, -4, -6, -203? -203 What is the fourth smallest value in -517, 2, 0, -0.2, -5? 0 What is the third biggest value in -6, 3, -15? -15 What is the third smallest value in -947, 5, -2/11? 5 Which is the third smallest value? (a) -1 (b) -48 (c) 8 (d) -0.2 (e) -0.1 d What is the third biggest value in 4, 0.4, 1/4? 1/4 What is the biggest value in -6, -6/11, 19? 19 What is the smallest value in 8, 4, 410? 4 Which is the second biggest value? (a) 2 (b) 50 (c) 0.8 (d) -0.5 a What is the second smallest value in 4/3, -41, 0? 0 Which is the third smallest value? (a) -0.5 (b) 5 (c) 2/19 b Which is the fifth biggest value? (a) 2/7 (b) -5 (c) 0.2 (d) 0.7 (e) -0.1 b What is the second smallest value in 5, -5, -0.4, 0? -0.4 Which is the fifth smallest value? (a) -3 (b) -3/8 (c) 2/3 (d) 49 (e) -0.2 d What is the biggest value in 4, -1/62, 9? 9 What is the biggest value in 3, 74, 0.1? 74 Which is the fourth biggest value? (a) 1 (b) -4 (c) -2 (d) -182 d Which is the third biggest value? (a) 2/3 (b) 1.6 (c) -10 (d) -5 d Which is the second smallest value? (a) 3 (b) 3/2 (c) 1 (d) 5 b What is the third smallest value in 3/4, -3/164, -3? 3/4 Which is the second biggest value? (a) -6 (b) -6/61 (c) 5 b What is the second biggest value in -5, -0.4, -1/8, -81, 5/6? -1/8 Which is the second biggest value? (a) 1/2 (b) -1 (c) 3/4 (d) -1/3 a Which is the second smallest value? (a) -9 (b) -1/4 (c) -3/2 (d) -1 (e) -2 e What is the biggest value in 4, -0.01, -5, -3/4? 4 What is the second biggest value in 0.2, -1368, 4? 0.2 Which is the third smallest value? (a) -0.3 (b) -4/7 (c) -386 (d) 5 a Which is the fifth biggest value? (a) 2 (b) 4 (c) 83 (d) -3 (e) 0.41 d Which is the fifth biggest value? (a) 24 (b) -0.3 (c) 4 (d) -2/5 (e) -2 e What is the second smallest value in -1/6, -52, 1/4, -2? -2 Which is the fourth biggest value? (a) 5 (b) 0.3 (c) 0.5 (d) -1 (e) 4/23 e What is the third smallest value in 5/7, 0.1, -3? 5/7 Which is the smallest value? (a) 0.09 (b) -3 (c) 3/4 b Which is the third biggest value? (a) 0.3 (b) -1/6 (c) 5/3 b Which is the second biggest value? (a) 9 (b) 1 (c) -5 (d) 3 (e) -0.8 d Which is the fourth biggest value? (a) -3.9 (b) 23 (c) -1/7 (d) -0.4 a Which is the fifth biggest value? (a) -0.4 (b) -0.9 (c) -0.2 (d) -0.1 (e) -7 e What is the fifth biggest value in -2, 0.3, -0.05, -2/15, -2/5? -2 Which is the smallest value? (a) -5 (b) 0.3682 (c) 6/11 a Which is the second smallest value? (a) 0.13 (b) -1 (c) 1 a Which is the third smallest value? (a) 1/26 (b) 0.3 (c) -691 b What is the second smallest value in 1/12, -8, 5? 1/12 What is the biggest value in -11, 206, 1/4, -1/4? 206 What is the fourth biggest value in -0.02, 5, 8, 6? -0.02 Which is the second biggest value? (a) 0.1 (b) -4 (c) -13 (d) -0.1 d Which is the second biggest value? (a) -1.9 (b) 0.3 (c) -2/11 c Which is the third smallest value? (a) 5 (b) -3 (c) -314 a What is the third smallest value in -4, -197, 1/11? 1/11 What is the smallest value in 0.8, -6, 4? -6 What is the smallest value in 8, -0.5, -1/8, -2? -2 Which is the second smallest value? (a) 15 (b) 37 (c) 0.3 a What is the second smallest value in 2/7, 2/33, -0.07? 2/33 Which is the third biggest value? (a) 1/4 (b) 5 (c) -0.3 (d) -60 (e) -1 c Which is the third biggest value? (a) -0.2 (b) 14.7 (c) 1 a Which is the fourth biggest value? (a) -1 (b) -0.06 (c) 1 (d) 0.02 a What is the fourth smallest value in -3, 2, -5/2, -0.2? 2 What is the third biggest value in 0, -0.3, -1/2183? -0.3 Which is the third smallest value? (a) 4 (b) -37 (c) -0.3 (d) -0.1 d Which is the third smallest value? (a) 5 (b) -3/4 (c) 0 a What is the third smallest value in 0.2, 0.18, 9/20? 9/20 Which is the fourth biggest value? (a) 1 (b) -4 (c) 2 (d) 2/18367 b Which is the fourth smallest value? (a) 3.1 (b) -10 (c) -4 (d) 1/2 a Which is the biggest value? (a) -4 (b) 2/21 (c) -3 (d) -4/3 b Which is the biggest value? (a) 3 (b) 5 (c) -76 b Which is the third biggest value? (a) -12 (b) 3 (c) 2 (d) -0.5 d What is the smallest value in -0.51, -2/3, -3/8, 8? -2/3 Which is the second biggest value? (a) 129 (b) 1/9 (c) 2/9 (d) -5 c What is the biggest value in -2/5, 2, -6, -8? 2 Which is the biggest value? (a) -1/5 (b) 0 (c) -3 b What is the smallest value in 2/17, -7.2, 2, -2/9, 6? -7.2 What is the fourth biggest value in 0, 2.8, 2/9, 3/4? 0 What is the smallest value in -4, 0.2, 3, 8.15? -4 Which is the fifth smallest value? (a) -3 (b) -4 (c) 0.3 (d) 18 (e) 31 e Which is the fourth biggest value? (a) -8.2 (b) -4 (c) 0.2 (d) 0 a What is the second biggest value in 4, 0.1, -0.4? 0.1 What is the third smallest value in 0.4,
{ "pile_set_name": "DM Mathematics" }
z: 1, w: 1}. Give prob of picking 1 b, 1 x, and 1 j. 2/21 Two letters picked without replacement from tddtdiid. What is prob of picking 2 t? 1/28 Three letters picked without replacement from qbqgkgquguy. What is prob of picking 2 g and 1 q? 3/55 What is prob of picking 2 w when two letters picked without replacement from {b: 3, w: 13, r: 3}? 26/57 Two letters picked without replacement from {z: 2, g: 4, d: 1, c: 7}. Give prob of picking 2 g. 6/91 Two letters picked without replacement from {n: 2, a: 1, h: 1, m: 1, s: 2, j: 1}. Give prob of picking 1 h and 1 s. 1/14 Calculate prob of picking 2 z when two letters picked without replacement from zzzzzggzvzggzvggzz. 5/17 Calculate prob of picking 2 u and 1 x when three letters picked without replacement from uxcxcccxpucpu. 9/286 Three letters picked without replacement from cumejeyyjmmeum. Give prob of picking 1 y, 1 m, and 1 j. 4/91 What is prob of picking 2 q when two letters picked without replacement from yyqqggqyqgqqyggq? 7/40 Calculate prob of picking 2 t when two letters picked without replacement from kkkkttkkkkkk. 1/66 Calculate prob of picking 1 q, 1 r, and 1 s when three letters picked without replacement from {g: 2, s: 1, q: 1, r: 1}. 1/10 What is prob of picking 2 h and 1 c when three letters picked without replacement from {c: 3, z: 3, h: 1, r: 2, v: 1}? 0 Three letters picked without replacement from {d: 2, i: 1, u: 1, x: 3, s: 7, l: 3}. What is prob of picking 2 d and 1 l? 3/680 What is prob of picking 1 a and 1 w when two letters picked without replacement from {a: 1, u: 1, m: 1, l: 1, w: 1}? 1/10 Calculate prob of picking 2 y when two letters picked without replacement from ypbpbbbppby. 1/55 Four letters picked without replacement from yiyruu. Give prob of picking 2 u, 1 i, and 1 r. 1/15 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from xxrzrrxzxllxxrz. 6/35 Calculate prob of picking 1 g, 1 f, and 1 z when three letters picked without replacement from afdggzg. 3/35 Two letters picked without replacement from {o: 1, n: 1, v: 2, w: 1, b: 1, q: 2}. What is prob of picking 1 w and 1 o? 1/28 Four letters picked without replacement from {z: 1, x: 9, u: 6, k: 1}. Give prob of picking 3 u and 1 k. 1/119 Four letters picked without replacement from {e: 4, o: 6}. What is prob of picking 3 o and 1 e? 8/21 What is prob of picking 4 h when four letters picked without replacement from {h: 10}? 1 What is prob of picking 2 x and 1 w when three letters picked without replacement from {x: 2, c: 1, w: 4, t: 12}? 4/969 What is prob of picking 1 h and 1 i when two letters picked without replacement from higaghghihg? 8/55 Three letters picked without replacement from arrraar. What is prob of picking 2 a and 1 r? 12/35 What is prob of picking 1 j and 1 f when two letters picked without replacement from {a: 1, k: 1, j: 4, f: 2, l: 2, b: 2}? 4/33 What is prob of picking 2 j and 2 q when four letters picked without replacement from {j: 5, q: 9}? 360/1001 What is prob of picking 1 n and 1 t when two letters picked without replacement from {x: 6, n: 8, t: 3}? 3/17 Calculate prob of picking 2 v and 1 b when three letters picked without replacement from bbavvbbvvvvvabbvvvpb. 21/76 Four letters picked without replacement from {o: 3, r: 5}. What is prob of picking 2 r and 2 o? 3/7 Calculate prob of picking 3 a and 1 u when four letters picked without replacement from auaaaauu. 3/7 What is prob of picking 1 k and 2 i when three letters picked without replacement from ppppppkppipppippik? 1/136 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from suarsxxauxvvuvvrsrux. 8/95 Two letters picked without replacement from {n: 11, t: 3, k: 1}. Give prob of picking 1 k and 1 n. 11/105 Two letters picked without replacement from {p: 11, h: 3}. What is prob of picking 1 p and 1 h? 33/91 What is prob of picking 3 p when three letters picked without replacement from {b: 3, p: 4, t: 6}? 2/143 Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {p: 2, n: 2, h: 2}. 1/10 Two letters picked without replacement from ciccccccicccccbccbn. Give prob of picking 2 i. 1/171 Two letters picked without replacement from joooojj. What is prob of picking 2 o? 2/7 Calculate prob of picking 2 l and 2 n when four letters picked without replacement from lnclwwllcwcllwlllcn. 3/323 Three letters picked without replacement from luguhlullggpgpphggg. Give prob of picking 1 p, 1 g, and 1 h. 14/323 Calculate prob of picking 2 g when two letters picked without replacement from ggggbgbg. 15/28 Calculate prob of picking 2 t when two letters picked without replacement from ktktktkk. 3/28 What is prob of picking 1 j and 1 t when two letters picked without replacement from rnjrntxrxtttfxtnfjf? 10/171 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {a: 8, f: 6, h: 1, s: 1, w: 4}. 24/95 What is prob of picking 2 x and 1 t when three letters picked without replacement from xxxxxtxt? 15/28 Two letters picked without replacement from gvduv. Give prob of picking 1 v and 1 u. 1/5 Calculate prob of picking 4 e when four letters picked without replacement from {e: 4, k: 3, z: 1, r: 3, l: 1, w: 3}. 1/1365 Four letters picked without replacement from ssninissnsnsnsnnswsn. Give prob of picking 1 w, 2 s, and 1 n. 96/1615 Four letters picked without replacement from {w: 9, c: 5}. Give prob of picking 4 w. 18/143 Three letters picked without replacement from {v: 9, c: 10}. What is prob of picking 1 v and 2 c? 135/323 Two letters picked without replacement from {s: 5, j: 3}. What is prob of picking 2 s? 5/14 What is prob of picking 1 u and 1 d when two letters picked without replacement from tumteetdmeb? 1/55 Calculate prob of picking 2 v when two letters picked without replacement from {p: 4, l: 3, v: 2}. 1/36 Calculate prob of picking 2 z and 2 e when four letters picked without replacement from ezezzzzz. 3/14 Calculate prob of picking 2 q and 2 t when four letters picked without replacement from {h: 4, d: 1, t: 5, q: 6}. 15/182 Three letters picked without replacement from {i: 3, k: 2, c: 4, q: 10}. Give prob of picking 3 i. 1/969 Three letters picked without replacement from {f: 2, j: 1, g: 2, h: 4, r: 3}. Give prob of picking 1 f, 1 j, and 1 r. 3/110 What is prob of picking 2 j when two letters picked without replacement from {t: 1, g: 2, z: 5, j: 1, q: 2, p: 5}? 0 What is prob of picking 2 y and 1 t when three letters picked without replacement from btykukbbbbtyquybukbt? 3/380 Four letters picked without replacement from jjjsjjjjjjjjjjssjjs. Give prob of picking 3 j and 1 s. 455/969 Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {m: 4, j: 3, u: 1}. 9/28 Four letters picked without replacement from ezhehhee. Give prob of picking 2 z and 2 e. 0 Four letters picked without replacement from {w: 2, a: 4, j: 8}. What is prob of picking 2 w, 1 j, and 1 a? 32/1001 Two letters picked without replacement from {w: 4, s: 4, u: 2}. Give prob of picking 2 u. 1/45 Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {h: 3, v: 1, q: 2, k: 1}. 2/21 Three letters picked without replacement from {w: 2, x: 4, n: 2}. Give prob of picking 2 n and 1 w. 1/28 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {j: 3, t: 3, a: 3, y: 1, i: 3, g: 2}. 2/35 Two letters picked without replacement from qhhxtpkkq. Give prob of picking 1 t and 1 p. 1/36 What is prob of picking 2 k when two letters picked without replacement from xxxxxxxkkkkkkxkkkxk? 5/19 Four letters picked without replacement from {n: 3, w: 7}. What is prob of picking 4 w? 1/6 Calculate prob of picking 1 u and 3 t when four letters picked without replacement from {n: 1, u: 2, t: 4, k: 3}. 4/105 What is prob of picking 1 p and 1 b when two letters picked without replacement from pvb? 1/3 Two letters picked without replacement from {b: 2, r: 1, n: 1, k: 1}. Give prob of picking 1 b and 1 r. 1/5 Two letters picked without replacement from {l: 3, t: 4}. Give prob of picking 2 l. 1/7 What is prob of picking 1 q, 1 b, and 1 i when three letters picked without replacement from {b: 6
{ "pile_set_name": "DM Mathematics" }
50/3) assuming f is positive. f**(-2665/72) Simplify (i**(-21)*i*i**(9/7)*i**(-9/5)*i*i**(-14/5))**24 assuming i is positive. i**(-18744/35) Simplify ((u*u/u**2*u)**13*u**(-2/9)/(u*u**(-2/7)))/((u/u**(-2/5))**37*(((u/((u/(u/(u*u*u**4)))/u)*u)/u)/u)/u*u/u**8) assuming u is positive. u**(-8422/315) Simplify ((a/(a**(-1/4)/a))**(-14/11)*(a**4/a)/a**(3/7))/(a**(-1/5)*a*a*a**(-2)*(a**(-2/5))**(-9)) assuming a is positive. a**(-2843/770) Simplify (q**0)**(-32)/(q**(-3)/(q*q/((q*q**(1/3))/q)*q*q))*q**(-1/2)/q**(1/3)*(q**(-2)*q)/q*q**(-2/9) assuming q is positive. q**(65/18) Simplify (x/(x/(x**(-1/11)/x))*x**(-6))**(-35)/(x**(-6)/((x**(3/4)/x)/x))**(-2/51) assuming x is positive. x**(278251/1122) Simplify ((a*a**(4/7)*a**(-3)/a*a)/((a**(2/3)/a*a)/(a*a/(a**(-1)/a))))/(a**(2/13)*(a*a**(-3/7))/a*a**(2/5)/a**(-1/4)) assuming a is positive. a**(1193/780) Simplify w/(w/w**(-1)*w)*w*w**(2/7)*w*w*w*w**(-1)*(w**(-7)/w)/w*(w/w**(-2))**(-15)/((w/((w*w/(w**(-2/7)*w))/w)*w)/(w*w**(2/19)/w)) assuming w is positive. w**(-7225/133) Simplify ((l**0*l)/l**7)**4/(l**(2/17)/l**(-7)*l**(2/9)/(l**(-1/3)/l*l)) assuming l is positive. l**(-4846/153) Simplify ((u/(u/(u*u*u/(u/(u/(u*u**(-3/8))*u)))*u)*u**(-3/2))/(u**(-2/43)*u*u*u**(1/8)/u*u))**(-1/5) assuming u is positive. u**(207/860) Simplify (j**5/(j**(-1/4)*j)*((j*j**(1/2))/j*j)**(-1/23))/(((j**(4/5)/j)/j*j**2)/(((j**(-2/11)*j)/j)/j*((j*j**(-2/11)/j)/j)/j)) assuming j is positive. j**(107/5060) Simplify (o**(2/31)*o)**35/(o**13*o**(-28)) assuming o is positive. o**(1620/31) Simplify ((n**(-2)/n*n)/(n*n/n**(-1/5)))**(-31)/((n*n**6*n)/(n*n*n**(1/2)))**(-1/11) assuming n is positive. n**(1307/10) Simplify (((u**(1/9)/u*u**(-12))/((u**(2/7)*u)/u)**42)**(19/3))**48 assuming u is positive. u**(-68096/9) Simplify ((((r**(-2))**(-47))**36)**(-11/4))**(1/25) assuming r is positive. r**(-9306/25) Simplify (((p/(p/(p*p*p*p**(-2/25))))/p)/(p/(p*p/(p*p*p/(p**(-4)*p)))))**(2/59)/(p*(p*p**(-8))/p*p*p*p**(2/9)*p*p)**(3/11) assuming p is positive. p**(31793/48675) Simplify ((w*w**2*w)**(13/5))**(2/55)/((w*w*w**(-1)*w*w*w)**35/(w**(-4)/(w/(w**6/w)))) assuming w is positive. w**(-38396/275) Simplify r/(((r**(-5)*r)/r)/r)*r*r**(-3)*(r*r**9*r)/r**0*(r*r**(-1/5)/r)**26*(r**0)**(-28) assuming r is positive. r**(54/5) Simplify ((p**(-1))**(1/29)/((p/(((p**7*p)/p)/p))/(p*p**(1/4)*p)))/(((((p/p**(3/4))/p)/p)/p*p*p**(5/3)/p)/(p**1*p)**43) assuming p is positive. p**(8204/87) Simplify ((f/(f**(-1/2)/f*f))/(f*f**(2/11))*f**(2/7)/f*f**(1/2))/((f/(f*(f*f**1)/f)*f)**(-35)*((f/f**(-1/3))/f)/(f/(f**(-2/9)/f))) assuming f is positive. f**(1381/693) Simplify (r*r/r**(-19/4))/r**0*r/(r/(r**(-4/3)/r))*r**(2/69)*r assuming r is positive. r**(501/92) Simplify ((p/(p/p**(-10))*p)/(p*p/(p/(p*p**(-3/4)))))**(-50)*((p*p**(-10))/p**3)**31 assuming p is positive. p**(281/2) Simplify (f**(-2)/f**5)**38*(f**(2/17)/((f*f**(-2/13)/f)/f))**(-44) assuming f is positive. f**(-71150/221) Simplify (h**3/h)/(h/(h**(4/3)/h))*(h*h*h**(7/3))/h**(-2)*(h**(11/3)/(h*h*h*h**(-12)))**(-43) assuming h is positive. h**(-537) Simplify (z**(2/7))**(4/7)/((z**(-1)/z)/(z**(-1)/z))*(z**(-1/2)/(z*z**(-4)*z))**4 assuming z is positive. z**(302/49) Simplify (q*q/((q*q*(q/(q**(-1/12)/q*q*q))/q)/q)*q*q*q*q*q/q**2)**41*((q**1)**36)**8 assuming q is positive. q**(5875/12) Simplify (w*w**(-6))/w*w**0*(w/(w/(w**(-4/7)*w)*w))/w**(-6)*((w*w*w**(-1/5)*w)/w*w)/(w*w*w/(w*w**(5/3)*w*w))*w**(3/8)*w**0 assuming w is positive. w**(3587/840) Simplify ((d/(d**8*d))**(-8/9)/(d/(d/(d*((d*d**(-2/25)/d)/d)/d)))**0)**(-1) assuming d is positive. d**(-64/9) Simplify ((x/((x*x*(x*x/(x/((x*x**(-3/7)/x)/x)))/x*x*x)/x))/x**(-1)*x*(x**(-1/6)/x)/x*x*x*((x**17*x)/x)/x)**13 assuming x is positive. x**(9425/42) Simplify ((x/(x*x**(2/5)/x*x)*x)**(1/20)/(x**4/(x*x**(-1/8))))/(x*x**(-1/2)*x*x**(3/8)/x*x*(x**(-1))**(1/5)) assuming x is positive. x**(-477/100) Simplify ((i/i**4)**(-2/51)/(i**(4/15))**(-20/11))**(18/7) assuming i is positive. i**(2028/1309) Simplify ((l**(1/11))**(-26)/((l/l**(-26))/(l/(l/(l/l**(-29))))))**(-48) assuming l is positive. l**(-336/11) Simplify ((d**(2/5))**28/(d*d*d**(-1/4)/d*d**(-3/5)))/(((d*d/(d**(2/9)/d*d*d))/d)/d*d*d**(-8)/d*(d/d**(-2))/(d/(d/(d**(6/5)*d)))) assuming d is positive. d**(701/36) Simplify ((p**(3/2)*p)**(-4)/(p**(3/8)/p**(7/3)))**(1/6) assuming p is positive. p**(-193/144) Simplify (((w**(-4/7)/w*w)/w**(7/4))/(w**(-3))**29)**(-33) assuming w is positive. w**(-78243/28) Simplify (((f**1/f)/f)/f**7)**(10/7)/((f**(2/3))**(4/23))**(-21) assuming f is positive. f**(-1448/161) Simplify ((h**4*h)/h*h**3*h**7*h*h**(-13)/h*h)**(-20/9) assuming h is positive. h**(-40/9) Simplify ((((h/(h/(h*h*h**16*h*h)))**(8/9))**(41/2))**(7/3))**18 assuming h is positive. h**(45920/3) Simplify ((s**(-9/4)*s)**37/(s**(-2)*s)**15)**(25/3) assuming s is positive. s**(-3125/12) Simplify (c**(-1/2)*c*c*c**(3/5))**(-44/3)*(c/(c*c*c**(-4)/c)*c*c**(-4)*c)/(c*c**1)**(-33) assuming c is positive. c**(186/5) Simplify (u/(u/u**0*u))**27/(u*u/(u**32/u)*u*u)**(-39) assuming u is positive. u**(-1080) Simplify (l/l**47*l)**26*l**(2/15)*l*l*l**9/l assuming l is positive. l**(-17398/15) Simplify ((y*y**0)/y)**(2/3)/(y/y**2*y**8)*((y*y**(-8))/(y/(y/y**(-1))))/(y**(-2/5)/y**(-2/13)) assuming y is positive. y**(-829/65) Simplify (a**(2/3)/a**(1/2))/(a/a**(1/2))**(1/58)*(a/(a*a**(1/5)/a*a)*a/a**(-5))/((a/a**(-2/5))/(a**5/a)) assuming a is positive. a**(14891/1740) Simplify ((((a*a*a**(-4)*a)/a*a)/(a**(-4/5)*a))/(a/(((a*(a*a**(-16))/a)/a*a)/a*a)*a/(a**(2/3)/a)))**(2/17) assuming a is positive. a**(-556/255) Simplify (c/(c/c**(5/6))*c**14)**(-1/22)/(c/c**8*c**0*c*c/(c**(-2)*c)*c/c**(-2)) assuming c is positive. c**(43/132) Simplify (o*o*o**(2/5)*o*o/(o*o*o/o**(1/2)*o)*o**(-6/11)/(o/o**(-3)))/(((o*o/o**7)/o*(o/(o**(5/2)*o))/o)/((((o**9/o)/o)/o)/o**(-5))) assuming o is positive. o**(927/55) Simplify ((l/(((l/(l**(-1/2)*l))/l)/l)*l)**(-36))**35*(l**6/l**(-1/2))/((l*(l*l*l*l**(-5)*l)/l)/l**(-3/7)) assuming l is positive. l**(-61641/14) Simplify ((g*g*g*g**(8/5)*g*g)/g*g**(-1/18)/g*g**3*g*g*g/(g*(g**(-6)/g)/g*g))**(-46) assuming g is positive. g**(-34247/45) Simplify i/(((i/(i*i**44))/i)/i)*i**(-1/55)*i**(-6/13)*i**22 assuming i is positive. i**(48992/715) Simplify ((d/d**2)/d**2*d**(2/5)/d**4)/((d**(1/4))**(-22)/(d*d*d**(-2)*d**(3/7))) assuming d is positive. d**(-47/70) Simplify ((d**(-23)/d)**0/((d/(d/d**18))/((d*d/d**(1/13))/d)))**37 assuming d is positive. d**(-8214/13) Simplify ((p**(-2/5)/p**(1/3))/(((p/p**10*p*p)/p)/(p*p**(2/89)*p)))**44 assuming p is positive. p**(545644/1335) Simplify ((h**5/(h*h**(2/31)*h*h))/(h**(2/3)/(h**(6/11)/h)))**(17/3) assuming h is positive. h**(14161/3069) Simplify (t**(-5)*t*t**(-8)/t*t)/((t**(-3/4)/t)/(t**(-2)/t))*(t*t**(-4)*t/(t**(-3)*t))**(3/5) assuming t is positive. t**(-53/4) Simplify ((o/(o*(o*o*o/(o*((o/(o**(1/7)*o))/o)/o*o)*o*o*o)/o*o)*o)/o*o**(-1)*o)/(o**5*o**(-4))*((o**3*o)/o**(-2/3))**(-2/75) assuming o is positive. o**(-11446/1575) Simplify ((p/p**(-3))**(-22))**(-2/35)*(p**(1/5)*p**10)**(-1/3) assuming p is positive. p**(57/35) Simplify (u*u/((u**(2/3)/u)/u))/((u*u**7)/u)*(u**(-1/3))**(-1/45)*u**(2/3)/u*u**(-1)*u**(3/5)/(u/(u/u**(-1/5))) assuming u is positive. u**(-566/135) Simplify (j**(-3/4)/j**(-2/5))**(-2/49)/(((j/(j/j**(2/7)))/j*j)**(-45)/(j**3/(j*j/j**4*j))) assuming j is positive. j**(1181/70) Simplify (g**(-7)*g**(-4/3)/g)**48*(g/g**(-1/5))/g**(-2)*(g**(2/7)/g)**36 assuming g is positive. g**(-16468/35) Simplify ((h*h**(-11)*h*h*h*h)**(-11/2)/(h**(-1/30)/h**(-1/38)))**(-4/15) assuming h is positive. h**(-37628/4275) Simplify ((a*a**7*(a*a*a**8*a)/a*a/a**(-2/7)*a**(-5))**12)**(-33) assuming a is positive. a**(-39600/7) Simplify ((l**1)**(3/2))**(-24)/((l*l/l**(1/3)*l)**6/((l**(2/25)*l)/((l/(l**(3/4)/l))/l))) assuming l is positive. l**(-5117/100) Simplify (q**8/(q*q/q**18)*q/q**(-17)*(q*q*(q**15*q)/q)/q)**50 assuming q is positive. q**2900 Simplify (((v/v**(4/9)*v)/v**(-14))/(v*v/(v/v**(1/9)))**38)**(-44) assuming v is positive. v**(3520/3) Simplify ((b*((((b/(b*b*b/(b*b/((b*b**19*b)/b)))*b)/b)/b*b*b)/b)/b)/(b**(33/7)/b))/(b**(-27))**(-48) assuming b is positive. b**(-9238/7) Simplify (r/r**3*r**(2/23))**(-31)/((r**(-1/3)*r)**34)**(-4/11) assuming r is positive. r**(51268/
{ "pile_set_name": "DM Mathematics" }
-4)/(-5 - -1). Suppose 5*o + 5*p + 560 = 0, -o + 212 = -t*o + p. Let g be 20625/(o/32 - -3). What is g rounded to the nearest ten thousand? -60000 Suppose -4*u - 3*r = -40, 1 = -3*u - 4*r + 24. Suppose -66800 = 5*v - u*v. Let i be v*(3 + -4 - -5). Round i to the nearest 1000. 33000 Let y be (-11 - 315/(-27))*364587/(-2). Let a = y + 4291529. What is a rounded to the nearest one million? 4000000 Let o = 596816 - -198087. Let m = o + -794869.0863. Let u = m + -33.9. What is u rounded to 3 dps? 0.014 Suppose -4*s - 3*c - 25 = 0, 3*s + 3*c + 18 = -0*s. Let h(w) = 247125*w - 125. Let x be h(s). What is x rounded to the nearest one hundred thousand? -1700000 Let j = 5.76132 + 0.09668. What is j rounded to zero dps? 6 Let f be (-1)/(-3)*-6 - -1142502. What is f rounded to the nearest ten thousand? 1140000 Let i = 424 + -1053. Let y = -341 - i. Let g = 267.1 - y. Round g to zero dps. -21 Let i = -297.4299980677 + 297.43. Round i to seven dps. 0.0000019 Let c = 28103260.9 + -28101567.89033. Let z = -1693 + c. What is z rounded to 3 decimal places? 0.01 Let p = 42 - 40. Let r be -2*11/p*-1. Suppose r*o = 23578 - 5978. What is o rounded to the nearest one thousand? 2000 Let i = 0.0543 + 0.7812. Let d = 175.4555 - i. Let u = d + -172. What is u rounded to one dp? 2.6 Let r = -0.05732 - -0.04655. Round r to three decimal places. -0.011 Let m = -774.95 + 9.95. Let h = m + 764.99999626. What is h rounded to 6 decimal places? -0.000004 Suppose -w = -5*y + 2147005, 0 = 5*w - 5*y + 5203540 + 5531465. Round w to the nearest one million. -2000000 Let q = 135.16 - 135.1611277. Round q to five decimal places. -0.00113 Let c = -1585149798 + 1585149807.999999885. Let m = 10 - c. What is m rounded to seven decimal places? 0.0000001 Suppose 20*g + 479910 = 5*g. Let v be (g - 0/(-5)) + -6. What is v rounded to the nearest one hundred thousand? 0 Let g = -229 + 122. Let t = g + 110.08. Let s = 2.8 - t. What is s rounded to one decimal place? -0.3 Suppose 2*z + 4*b = -68408 - 309490, 0 = 2*z + 5*b + 377897. Let l = z + 395316. Suppose 5*u - 5043635 - l = 0. Round u to the nearest 100000. 1100000 Let o = 4640 - 4644.5083. Let x = -28 + 23.5. Let l = x - o. Round l to 3 decimal places. 0.008 Let c = 932 - 932.02418. Round c to three decimal places. -0.024 Let u(w) = w**2 + 12*w - 68. Let r be u(-16). Let p(a) = -448749*a**2 + 2*a - 8. Let c be p(r). What is c rounded to the nearest one hundred thousand? -7200000 Let l = 1.922 + 0.058. Let f = l + -2.039. Round f to 1 decimal place. -0.1 Let h = -0.4008 + -1816.5992. Let q = -1817.0001277 - h. Round q to five dps. -0.00013 Let s = 47.885262885 - 0.085523885. Let x = s - 47.8. What is x rounded to five dps? -0.00026 Let p = 405377809.860000888 - 405377808. Let y = -0.091 - -1.951. Let z = p - y. What is z rounded to 7 decimal places? 0.0000009 Let s be -4076*((-55)/20 - -2). Suppose 401 = -8*n + s. Round n to the nearest 10. 330 Let x = 3444.1 + -465.1. Let l = x + -2978.8383. What is l rounded to two decimal places? 0.16 Let z = -7 + 6.888. Let x = -0.125 - z. What is x rounded to two decimal places? -0.01 Suppose -120 = -5*x + 4*c, 0 = 2*x - 7*x + 3*c + 125. Let y be 10550/((-8)/x - 165/(-700)). Round y to the nearest ten thousand. -210000 Let k = -0.08146 - 2.06304. Let u = k + 2.16. Round u to two dps. 0.02 Let o = 20622.1355 - 20597. Let w = o + -0.0355. What is w rounded to the nearest ten? 30 Let d = -24889.021602 - -24889. What is d rounded to two dps? -0.02 Let q = -15762964 + 35435662. Let p = q + -19672901.99853. Let s = 204 + p. What is s rounded to 4 dps? 0.0015 Let p = -1992.7 - -2147. Let w = 147.205 + -0.205. Let h = p - w. Round h to the nearest integer. 7 Let i(t) = -60*t - 686. Let h be i(14). Round h to the nearest 100. -1500 Suppose 19*l - 24*l + 5670 = 0. Suppose -4*n + g = -0*g - 3051, 0 = -n + 5*g + 758. Let i = l - n. Round i to the nearest 100. 400 Let c = 36983.9999871544 - 36984. Round c to six decimal places. -0.000013 Let x = -0.21151075 + 0.21134. What is x rounded to 6 decimal places? -0.000171 Let c be (-5*7)/((-10)/(-430600)*1). What is c rounded to the nearest one hundred thousand? -1500000 Let h = 0.39 + -0.53. Let t = h + -0.32. Let m = -0.45999866 - t. What is m rounded to 7 decimal places? 0.0000013 Let f = 43 - 42.71. Let p = 0.231 - f. Let w = -0.0544 - p. Round w to 3 decimal places. 0.005 Let j be (20 + -19)/(((-104)/(-34) - 3)/(-3987)). What is j rounded to the nearest 100? -67800 Suppose 0 = 5*r - 3*r - 56. Suppose r + 35 = 9*z. Suppose -5999980 = 2*d - 4*a, -z*a + 6*a = -4*d - 11999995. What is d rounded to the nearest 1000000? -3000000 Let h = 1181 + -1179.618. Let q = h - 1.4. Let o = q + 0.017995. What is o rounded to five dps? -0.00001 Let v be (1 + 7 + -8)*(-1)/2. Suppose -2*l + q + 2965 + 166836 = v, -4*l = 3*q - 339597. Round l to the nearest ten thousand. 80000 Let c = 1103.9114 - 1104. Let j = c + 0.278. Round j to two decimal places. 0.19 Suppose -323*u = -322*u + 5*k + 1508170, 0 = 2*u - k + 3016252. Round u to the nearest ten thousand. -1510000 Let a = 34058.03051 - 34059. Round a to 3 dps. -0.969 Let y = 4613599 - 2747476. Let a = 1933877 + y. Round a to the nearest one million. 4000000 Let h = 8481 - 8480.879009. Let g = 245.121 + -245. Let t = h - g. What is t rounded to six dps? -0.000009 Let i = 1882 - 3000. Let w = i - -1118.00005178. What is w rounded to five decimal places? 0.00005 Let v = -45529.5085 - -207323.50826. Let o = v - 161788. Let x = o - 6. What is x rounded to 3 dps? 0 Let l be (62 - 8)*(-2 - (-99)/6). Let d be 0/1 - -6 - (-2 - l). Round d to the nearest 100. 800 Suppose 0 = 4*x + i - 4291763, 63*i - 65*i = 12*x - 12875286. Round x to the nearest 100000. 1100000 Let a = -19840.999983386 + 19841. What is a rounded to seven decimal places? 0.0000166 Suppose 56*p - 51*p = 3*f - 246215, 5*p = -5*f + 410345. What is f rounded to the nearest ten thousand? 80000 Suppose 12 = -2*m + 4*g, -5*m + 6 = 2*g - 12. Let y be 32/20*(m + 1424355/10). Round y to the nearest 10000. 230000 Let b be 798/(-4) - (-24)/(-48). Let v be ((-747 + -3)*-50)/(30/b). Round v to the nearest ten thousand. -250000 Suppose 0 = 200*m - 190*m - 1576100. What is m rounded to the nearest one hundred thousand? 200000 Let a = 426.6 - 585. Let c = -159.4 + -13.6. Let z = c - a. Round z to the nearest integer. -15 Suppose 215840 = 10*c + 47070. Let l = c + 10223. Suppose t - l = 3*a - 0*a, -t = 4*a - 27100. What is t rounded to the nearest one thousand? 27000 Let c = -6 - 79. Let s be c/(7 - 2443/350). Round s to the nearest 1000. -4000 Let w = -154.15 - 3.85. Let y = 31 + w. Let f = 116.3 + y. What is f rounded to the nearest integer? -11 Let f = 36048440 + -47613207.5. Let i = f - -11564827.4999987. Let w = i - 60. What is w rounded to seven decimal places? -0.0000013 Let d = 44 - 60. Let y be (-4)/d*7 + (-1)/(-4). Suppose 3*x + 2*x = -3*t - 166500006, 3*x + y*t = -99900004. What is x rounded to the nearest one million? -33000000 Suppose -32*y + 18*y + 56 = 0. Let b be (514/y)/((-28)/(-5600000)). What is b rounded to the nearest one million? 26000000 Suppose -3*x - 3*p = -12, 9 = 4*p - 7. Suppose 162 = -3*u - x*h + h, u + 5*h + 54 = 0. Let g = -144 - u. What is g rounded to the nearest 100? -100 Let d = -18.43 - 585.87. Round d to the nearest 100. -600 Let z = 10170018.19 - 10170610.1899448. Let s = z - -592. What is s rounded to six dps? 0.000055 Let m = -183083 - -183190.909. Let s = m + 0.091. Let o = s - 108.00089. What is o rounded to 4 decimal places? -0.0009 Suppose 620 = -4*j - 4*o, 4*j + o + 618 = -2*o. Let r = j + 235. Let n be (1000*r)/((-1 - 0)*1). Round n to the nearest 10000. -80000 Suppose 0 = 104*i - 226*i - 11068328. What is i rounded to the nearest one thousand? -91000 Let b = 3.88 + -0.08. Let v = -204.04 - -208. Let n = v - b. Round n to two dps. 0.16 Let p = 79 + -69. Let o = p + -9.99998938. What is o rounded to six decimal places? 0.000011 Suppose -5 = -14*p + 37. Suppose 26*w - 181691 = 27*w - p*f, 363397 = -2*w + f. What is w rounded to the nearest 10000? -180000 Let u = 47 - 43. Let n be 13622134/u - 6/(-4). Let v = 4955535 - n. What is v rounded to the nearest 100000? 1600000 Let v = -68015 + 411765. What is v rounded to the nearest one thousand? 344000 Let
{ "pile_set_name": "DM Mathematics" }
remainder when 121 is divided by n? 13 Let g(t) = t**3 + 107*t**2 + 882*t + 252. Calculate the remainder when 264 is divided by g(-98). 12 Let m(v) = v**3 - 24*v**2 + 23*v + 19. Let x be m(23). Suppose x = 7*g - 30. What is the remainder when 139 is divided by g? 6 Suppose -4*f = -7 - 13. Let d be 6*(f - (4 + 11)). Let y = d - -81. What is the remainder when 37 is divided by y? 16 Calculate the remainder when 187 is divided by (-1 - -32)/(1/2). 1 Suppose 65003 - 25437 = 28*w - 197510. What is the remainder when w is divided by 5? 2 Suppose 2978 = 110*m - 5235 - 1797. Suppose 3*y = -9, 2*i - 5*y + 137 = 6*i. Calculate the remainder when m is divided by i. 15 Let z(d) = d**3 - 25*d**2 - 82*d + 21. What is the remainder when 3618 is divided by z(28)? 76 Suppose -4*c - 3*q + 125 + 101 = 0, -4*q + 118 = 2*c. Calculate the remainder when 112 is divided by c. 2 Suppose 4*f - 2474 = -3*t, -2*t = -f - 6*t + 612. Suppose 3*d - d + f = 3*w, 3*d = -5*w + 1027. Calculate the remainder when w is divided by 42. 38 Let d(l) = -30*l - 94. What is the remainder when 752 is divided by d(-4)? 24 Suppose 29*p = -221 + 1207. What is the remainder when p is divided by 10? 4 Suppose 0 = 2*d + 3*o + 793 - 1281, -2*o + 727 = 3*d. What is the remainder when d is divided by 194? 47 Suppose -60 = -49*r + 44*r. Let v be 57/(-1)*-2 + 2. Suppose -4*b + v + 168 = 0. What is the remainder when b is divided by r? 11 Let q(r) = 2*r**2 - 100*r + 1265. Calculate the remainder when q(13) is divided by 38. 37 Let c = 15414 - 14719. Calculate the remainder when c is divided by 12. 11 Let g(a) = 4127 + 0*a**2 - 2*a - 4125 - a**2 + a**3. Calculate the remainder when (2/(-4))/((-2)/148) is divided by g(3). 9 Calculate the remainder when 2175 is divided by -1 - (-32)/((-384)/(-2628)). 213 Let m = -25511 + 25741. Calculate the remainder when 5977 is divided by m. 227 Let a(w) = 6*w**2 - 32*w - 20. Let h be a(6). Suppose 3*m - 5*m = h*r - 62, m - 4*r = 49. What is the remainder when m is divided by 11? 4 Suppose 0 = -2*g + 3*c + 2*c - 16, -20 = -5*c. What is the remainder when 3/(1/(-14)*-2) is divided by -75*g/(-36) + (-2)/12? 1 Let z = -29 + 43. Suppose t = 5*c - 6*c + z, 5*c = 2*t - 7. Calculate the remainder when t is divided by 10. 1 Let h = 9 - 7. Let p be h/4 + 40/16. Suppose 0 = -p*x + y + 17, -3*x - 2*y + 13 = -7*y. Calculate the remainder when 16 is divided by x. 4 Let q = -3744 - -3751. Calculate the remainder when 3415 is divided by q. 6 Let f(s) = -20*s - 284. Let c be f(-14). Calculate the remainder when (1/(3/(-126)))/(2/c) is divided by 43. 41 Let z(b) = -2*b**2 - 15*b - 17. Let y be z(-6). What is the remainder when 42 is divided by ((-2)/y)/((7/1)/(-91))? 16 Suppose 3*c + 17 = 140. Suppose 0 = 5*u - j - 16, 3*j = -2*j - 5. Suppose 590 = u*n - 15*a + 11*a, 0 = 2*a - 8. What is the remainder when n is divided by c? 38 Suppose -104*j = -94*j - 230. Calculate the remainder when 2/(-11) + 5913/33 is divided by j. 18 Let r(f) = f**3 + 12*f**2 - 11*f + 31. Let y be (10/15)/(4/(-78)). Let p be r(y). Suppose 8*u - p*u = 6. What is the remainder when 4 is divided by u? 0 Suppose 3*b + 2*p = 465, -4*b - 631*p + 628*p = -619. Calculate the remainder when 14286 is divided by b. 156 Suppose l + 49 = w + 163, 5*l - 549 = -2*w. Calculate the remainder when 557 is divided by l. 2 Let c(m) be the first derivative of m**4/4 + 2*m**3 - 3*m**2/2 + 7*m - 40. What is the remainder when 46 is divided by c(-6)? 21 Let o(g) = g**2 - 65*g + 97. What is the remainder when 953 is divided by o(64)? 29 Let h(q) = q**2 - 15*q - 114. Let v be h(24). Suppose 491*f = 485*f + v. Calculate the remainder when f is divided by 8. 1 Let g = -5823 + 5895. Calculate the remainder when 234 is divided by g. 18 Let v = 587 - 417. Suppose 423*m - 421*m = v. What is the remainder when m is divided by 13? 7 Suppose -2*t + 10 = -3*t. Let f = 26 + t. Suppose -43*c + 21 = 3*j - 40*c, -3*j + c = -17. Calculate the remainder when f is divided by j. 4 Let x(h) = -32*h + 70. Let j be x(0). Suppose 5*v + 4*r = 485, -j*v = -67*v + r - 284. What is the remainder when v is divided by 24? 21 Suppose -15*u + 9*u = -816. Suppose -333 = -43*t + 34*t. What is the remainder when u is divided by t? 25 Suppose -5*p + 4*u = 1114, 658 = -2*p - p + 5*u. Let a = -138 - p. What is the remainder when a is divided by 30? 28 Let m(c) = 9*c - 53. Let z(n) = -2*n + 6. Let f be z(-2). Calculate the remainder when m(f) is divided by 12. 1 Let y = -343 + 373. Suppose -m - 592 = -5*m. What is the remainder when m is divided by y? 28 Let u(x) = 3*x**3 - 92*x**2 - 115*x - 91. What is the remainder when 669 is divided by u(32)? 19 Suppose 30 = 2*q + 3*w, -4*q = 4*w - 17 - 43. Calculate the remainder when ((-2)/(-8))/((-25)/25)*-116 is divided by q. 14 What is the remainder when 1336 is divided by 216 - ((3 - 104/32) + (-2)/(-8))? 40 Suppose 2*j + 16*j = -16*j. What is the remainder when j - -892 - (-5 + 16)/(-11) is divided by 64? 61 Suppose 0 = 223*f - 249*f + 7696. Calculate the remainder when f is divided by 75. 71 Let r = -386 - -536. Suppose -7 = -b + 5*z, 5*b + z = 3*z + r. What is the remainder when b is divided by 21? 11 Suppose 10*f = -8*f + 91*f - 7592. Calculate the remainder when f is divided by 73. 31 Let t = -690 - -1151. Let f = -445 + t. Calculate the remainder when 63 is divided by f. 15 Let f(d) = 82*d**2 - 83*d + 244. Calculate the remainder when f(8) is divided by 18. 4 Let b = 92 - 83. Let q(c) = 5*c**2 + c + 1. Let x(r) = -6*r**2 - r - 1. Let i(h) = -3*q(h) - 4*x(h). What is the remainder when i(-2) is divided by b? 8 Let x = 5890 - -688. What is the remainder when x is divided by 20? 18 Suppose -m + 28 = -4*p, -2*p - 17 = 2*m - 3. Let q be 0/p - (1 - (-1 + 4)). Let r(f) = 2*f**3 - 2*f**2. Calculate the remainder when r(q) is divided by 5. 3 Let r(t) = 10 + 8*t - 5 + 2. Suppose 0 = -7*w + 5*w + 24. Calculate the remainder when r(5) is divided by w. 11 Suppose 67*v + 5408 = 99*v. Calculate the remainder when v is divided by 31. 14 Let a(v) = 21*v**3. Suppose 0 = -3*r + p - 48 + 65, -5*r = -p - 27. Calculate the remainder when a(1) is divided by r. 1 Let s(a) = 84*a**2 + 463*a + 15. What is the remainder when s(-6) is divided by 87? 0 Let g(l) = 4*l**2 - l - 4. Let z be g(-3). Let v = z - 31. Suppose 4*j - 140 = -5*r, -v*j = j - 5*r - 220. Calculate the remainder when j is divided by 11. 7 Let x(d) be the second derivative of 3*d**3/2 + 3*d**2/2 - 7*d - 4. What is the remainder when x(4) is divided by 19? 1 Let h = -1371 - -1383. What is the remainder when 8531 is divided by h? 11 Suppose -49*g + 1221 = -4659. Calculate the remainder when 472 is divided by g. 112 What is the remainder when (533/(-205) - -5)*(-530)/(-3) is divided by 58? 18 Let s = 244 + -232. Let l = 542 + -507. What is the remainder when l is divided by s? 11 Let d be (1 + (-4 - -1))*-1. Suppose 0 = d*q - 0*q - 4. Suppose l - 105 = -q*l. What is the remainder when l is divided by 12? 11 Suppose 96*f = 88*f + 896. What is the remainder when 17 is divided by (-79)/(-7) + (-32)/f + 6? 0 Let s(l) be the second derivative of -l**5/20 - 3*l**4/4 - 4*l**3/3 + 3*l**2/2 - 88*l. Calculate the remainder when 27 is divided by s(-8). 0 Let r(h) = 21*h - 54. Calculate the remainder when 324 is divided by r(8). 96 Let t be (-12 + -8)/(2/(-20)). Suppose -9*z + 5*z + 160 = -5*d, -5*z - 2*d + t = 0. What is the remainder when 119 is divided by z? 39 Suppose -295305 = 141*c - 2491662. What is the remainder when c is divided by 38? 35 Let y(h) = 3*h - 58. Let i be y(20). Suppose -5*l = -i*u - 228, -5*u = -2*l + 34 + 74. What is the remainder when l is divided by 15? 14 Let l = 10 - 8. Suppose -l*s + 4*w = 2*w - 18, 4*s - 5*w = 37. Suppose s*j - 23 = 25. Calculate the remainder when 14 is divided by j. 2 Suppose 43*q + 224*q = 57834 + 41223. What is the remainder when q is divided by (-90 + -3)*(-2)/6? 30 Let y(t) = 17 - 6*t**2 - 8 + 4*t**2 + 4*t. Let a be y(9). Let p = a + 258. What is the remainder when p is divided by 36? 33 Let v(p) = 19*p + 3458. Calculate the remainder when v(-142) is divided by 63. 4 Suppose 813*m + 57 = 816*m. Let s(c) = c**3 + 168. Calculate the remainder when s(0) is divided by m. 16 Suppose -17 = -5*g + a, -3*g - 451 = 3*a - 454. What is the remainder whe
{ "pile_set_name": "DM Mathematics" }
. What is the common denominator of -47/36 and z? 180 Suppose -3*f - 2*f = 2*y + 7, f = -2*y + 13. Suppose 3*l = -238 + 256. What is the smallest common multiple of y and l? 18 Let l = 436 - 205. What is the lowest common multiple of 27 and l? 2079 Suppose 5*i - 16 = i. Suppose 3*k - 34 = -i*w, k - 4*w - 6 + 0 = 0. Suppose 3*v - 2 = -2*y + 1, -2*y + 4 = 2*v. What is the smallest common multiple of y and k? 30 Calculate the least common multiple of (-1390)/(-18) - 10/45 and 33. 231 Calculate the common denominator of 30/75 - (-2 - 138/80) and 75/194. 776 Let v be 2*(-2)/(-12)*18. Find the common denominator of -1 - ((-21)/(-11))/3 and v/6 - (-59)/(-11). 11 Let c be 4 + (27 - (-4 + 4)). Let k = -31 + c. Suppose -3*t + 6*t = -4*v + 7, -4*v + t + 3 = k. What is the least common multiple of 33 and v? 33 What is the common denominator of -17/40 and (-15)/(-60) + -2 + 354/40? 40 Let z(f) = -f**3 + 6*f**2 - 11. What is the smallest common multiple of z(5) and 472? 3304 Suppose 8*b + 546 = 794. What is the least common multiple of 1 and b? 31 Let r = 6933 - 291217/42. What is the common denominator of r and 37/27? 378 Let i be -6*(-2)/12*-2. Let m(o) = -2*o - 8. Calculate the smallest common multiple of -4*i/4 - -2 and m(-11). 28 Suppose y - 3*x = 18, 0 = 2*y - 10*x + 5*x - 34. What is the smallest common multiple of 23 and y? 276 Suppose 2*h + 1 - 5 = 0. What is the lowest common multiple of h and 145? 290 Let p = 202 + -172. What is the smallest common multiple of 30 and p? 30 Let u = -1746 - -2120. What is the least common multiple of 476 and u? 5236 Let i(q) = -q - 15. Let c be i(-13). Find the common denominator of c/(-8) + (-187)/(-28) + -3 and 43/12. 84 Suppose 2*n = 33*n - 744. What is the smallest common multiple of n and 114? 456 Let x = 298/5 + -351/10. Find the common denominator of x and 25/144. 144 Suppose -6*y - 12 = 6. Let v be 0/(y/9*-6). Suppose 3*x - 4*x + 3 = v. Calculate the least common multiple of 6 and x. 6 Let j(c) = c**3 + 21*c**2 + 21. Calculate the least common multiple of 14 and j(-21). 42 Let r be -3 - -1 - -1 - -1. Suppose r = -2*y + 4*y. Suppose -3*f = 5*o + 7, f + y*o + 2*o = -4. What is the smallest common multiple of f and 11? 66 Let n(w) = -w**3 - w**2 + w + 24. Suppose 1 = -f, 0*f - 5 = 4*j + 5*f. What is the least common multiple of n(j) and 10? 120 Let k = -289 + 294. Calculate the lowest common multiple of (-8)/(-2 - (1 + -1)) and k. 20 Let c = -576 + 596. What is the lowest common multiple of c and 32? 160 Let b = -757477831/210 + 3607080. Let i = b - 668/21. Calculate the common denominator of i and 51/22. 110 What is the common denominator of ((-2)/45*-3)/(400/(-3125)) and -137/54? 216 Find the common denominator of (-1463)/57*(-6)/(-64) and 41/36. 288 Suppose -g + 1 = 0, 3*o + 5*g + 46 = 321. What is the lowest common multiple of o and 75? 450 Let p(y) = -9*y**2 + 66*y - 7. What is the lowest common multiple of p(6) and 104? 520 Let l = -1237/1477060 - 1/12844. Let y = l - 146391/4370. Find the common denominator of -43/104 and y. 104 Let u(x) = -7*x + 47. Let f be u(7). Find the common denominator of 296/(-24) + f/(-4) and -149/36. 36 Let q = 10/169 + 8917/676. What is the common denominator of 318/40 - (-16 + 24) and q? 20 Let z = -113 + 115. Calculate the common denominator of 17/50 and z + (-2)/(110/83). 550 Suppose 0 = 10*w - 5*w + 55. Calculate the common denominator of (8/(-8))/(w/39) and 117/10. 110 Find the common denominator of (7/98)/((-1)/118) and (-4)/1 - 798/(-96). 112 Suppose -2*y + 242 = -44. Let u be y + 14 + -4 + 1. Find the common denominator of 29/5 and (-8)/(-20) + u/(-60). 30 Let d = -520 - -536. Calculate the lowest common multiple of d and 6. 48 Let j = 779 + -713. Calculate the lowest common multiple of 20 and j. 660 Suppose 0 = 4*b + b. Suppose 0 = -3*r - b*r + 36. Suppose -85 = -3*k + 47. What is the smallest common multiple of r and k? 132 Let i be ((-7)/9)/((-86)/50). Let k = i + -134693/7740. Let w = k + 56/5. Find the common denominator of 45/7 and w. 28 Let w be 3748/(-106)*(-6)/20. Let m = w - -42/53. Find the common denominator of m and -3/2. 10 Suppose -2*m = -m - 7. Suppose 14*d - 20 = 9*d. Suppose -7 = -5*f - 4*t + 10, -2*t = -2*f - d. Calculate the least common multiple of m and f. 7 Let j = -227 + 387. Let u = j + -92. What is the common denominator of -73/3 and (-3)/(-6)*u/(-12)? 6 Suppose -2*n = -4*v + 23048, -2*n - 22664 = -5*v + 6144. Let q = v + -45983/8. What is the common denominator of -32/11 and q? 88 Suppose 0 = -20*o - 136 + 436. Calculate the lowest common multiple of 45 and o. 45 Suppose -5*m - 257 = -3*h, 4*h + 0*h + 5*m = 366. Let g = h + -85. Let s(a) = 7*a**3 - 2*a**2 + 1. What is the smallest common multiple of s(1) and g? 12 Calculate the common denominator of -93/10 and (-4)/3*-1*30/(-75). 30 Let q(g) be the first derivative of -g**2/2 + 16*g + 3. Let r be (-7)/(14/4) + 2. What is the lowest common multiple of q(r) and 4? 16 Let h = 7173 + -451844/63. Calculate the common denominator of -29/45 and h. 315 Suppose 4*n = -25 + 9. Let a(h) = -h**3 - 3*h**2 - 5*h + 4. Let k be a(n). Let b = -20 + k. What is the lowest common multiple of b and 2? 20 Suppose 3*v = -2*u - 10, -3*u + 4*v = 9 + 23. Calculate the lowest common multiple of (u/(-10))/((-5)/(-950)*4) and 6. 114 Let m(n) be the first derivative of n**4/4 + 4*n**3/3 + n**2 + 7*n + 9. What is the least common multiple of m(-3) and 9? 90 Let p be (-26)/39 + (-6244)/(-9519). Let d = p - 22033142/15865. Let h = d - -152503/110. What is the common denominator of h and 71/18? 198 Suppose 0 = v - 1 - 13. Let j = -2175/4 + 519. Find the common denominator of (-4)/v*1062/(-72) and j. 28 Calculate the common denominator of -57 - -59 - ((-49)/(-33) + 0) and -13/102. 1122 Let c = 936 + -14879/16. Calculate the common denominator of 6/15 + (-99)/40 and c. 80 Let x(n) = 4*n + 76. Let z be 3/((21/27)/(-7)). Find the common denominator of 71/(-3)*6/4 and x(z). 2 Let c(i) = 2*i + 2. Let b be c(4). Let t be ((-12)/(-2))/(b/(-40)). Find the common denominator of -23/16 and (-92)/21*9/t. 112 Let f be -1 + (-1536561)/(-12) + -3. Let d = f + -131485. Let l = -3419 - d. Find the common denominator of -37/12 and l. 12 Let p = -1980229/120 + 16502. Calculate the common denominator of -121/20 and p. 120 Let z = 54 + 106. Calculate the common denominator of ((-3107)/60)/(-13) - (-2)/3 and (-2)/5 - (-374)/z. 80 Let y = 483 + -462. Let l = 51 - 21. Calculate the least common multiple of l and y. 210 Let c = 2813/15 - 97157/510. What is the common denominator of c and -9/38? 646 Let v be -6 + (-3)/(-2 - 1). Let l = 68 + -59. Let p = l + v. Calculate the smallest common multiple of p and 5. 20 Let v = 448 - 442. Calculate the smallest common multiple of 35 and v. 210 Suppose -13 + 4 = -3*s. Let o = -8 - -12. What is the smallest common multiple of o and s? 12 Let i = -28819554/221 - -130405. Find the common denominator of -44/39 and i. 663 Suppose -a + 0*a = -4*b, -4*a - 2*b = 0. Suppose a = -4*l + 5*l - 30. What is the common denominator of l/(-66)*52/(-5) and 91/4? 44 Let i(g) = 4*g - 3*g - 4 + 5*g**2 + 2*g**3 - 5*g + g. Let c be i(3). What is the common denominator of (c/(-4) + 0)/(-4) and -53/20? 40 Suppose 2*p - 42 = 18. Let i = p - 26. Suppose t - i = -2*c, 0 = c - 2*c - 2. Calculate the smallest common multiple of 8 and t. 8 Calculate the common denominator of ((330/(-80))/(-3))/((-15)/(-12)) and 151/2520. 2520 Let j = 668 - 635. What is the least common multiple of j and 30? 330 Let f(r) = r - 1. Let c(a) = -5*a + 10. Let z(m) = -c(m) - 6*f(m). What is the smallest common multiple of z(-10) and 12? 12 What is the common denominator of (-345)/(-100) - (-10 + 12) and -59/544? 2720 Let y(h) = h**2 + 2*h + 1. Let m be y(3). Let k = -16 + m. Suppose a = -k*a + 8. What is the smallest common multiple of 62 and a? 248 Suppose -64 - 166 = 5*h. Let m = 51 + h. Suppose 4*y = -5*k + 29, -2*y - 13 = -4*k + 5. What is the smallest common multiple of m and k? 5 Suppose 1150*j - 1154*j + 52 = 0. Calculate the smallest common multiple of 2 and j. 26 Let p be (-2)/6 - 385/15*1. What is the common denominator of (3 - p/22) + -4 and -53/10? 110 Let s be 134/10 - 10/25. Suppose s - 33 = -5*z. What is the smallest common multiple of 22 an
{ "pile_set_name": "DM Mathematics" }
-6)*-1 and -22*(-18)/16*d? 10 Let h be -5 + 1 - 9190/6895*-3. Let n = h - 56527/8274. What is the common denominator of (2/14)/((-6)/(-7)) and n? 6 Let l(z) be the first derivative of -z**4/4 - 20*z**3/3 - 19*z**2 + 28*z - 71. What is the smallest common multiple of l(-18) and 36? 576 Let w = -44437/126 + 2424/7. Suppose -3*s - 2*s = 1500. What is the common denominator of ((-315)/s)/((-24)/10) and w? 144 Let t(i) = 3*i**3 + 5*i**2 - 10*i - 6. Let c be t(-5). Let k = 239 + c. Calculate the least common multiple of 27 and k. 297 Let i = 8588 - 42991/5. What is the common denominator of -75/154 and i? 770 Let k = -2363 + 307193/130. Calculate the common denominator of k and -143/540. 7020 Suppose -76*i + 648 = -72*i + 104*i. What is the lowest common multiple of 84 and i? 84 Suppose 80*a - 7228 = 84*a. Let q = a - -8976/5. Let h = 573/2 + -280. Calculate the common denominator of q and h. 10 Let q = 445194/73 - 6099. Find the common denominator of 285/50*(3 + -2) and q. 730 Let z(u) = -u**3 + 8*u**2 - 3*u + 40. What is the smallest common multiple of 4032 and z(8)? 4032 Let t be (25/(-5) - -4) + -1. Calculate the lowest common multiple of (t/(-2))/(5/20) and 52. 52 Let m = 3/574 + -3308/1435. What is the common denominator of (-9)/27 + 42/(-20) and m? 30 Find the common denominator of -119/744 and (((-786)/168)/(-3 - 2))/((-1)/2). 26040 Suppose -79*q + 9*q - 74382 = -368942. Calculate the smallest common multiple of 22 and q. 46288 Let o = 4/873 - 61999/3492. Let p be 1 + (55719/12)/3. Let r = p + -1528. Calculate the common denominator of o and r. 4 Suppose 5 = l + 4*i, 4*i = 3*l + i + 30. Let u be 5 + l + -1 + 0 + 20. What is the common denominator of -163/30 and (u - 15) + 122/(-48) + -1? 120 Let v = 1302 + -1282. Calculate the lowest common multiple of (2 + (-2)/(-5))/(15/250) and v. 40 Suppose 1416*q + 14400 = 1426*q. What is the smallest common multiple of q and 176? 15840 Let d = -6611/1295 + -7/185. Suppose 0*z - 11747 = 17*z. Let k = z + 2042/3. Calculate the common denominator of k and d. 21 What is the common denominator of ((-198)/(-7))/(-73 - 48 - -105) and (-3)/28 + 0 + 0? 56 Let t = -2/707503 - 45277618/910556361. Calculate the common denominator of t and 58/117. 1287 Suppose -2*u - 5*p + 18 = 0, u + 2 = 4*p - 2. Suppose 1107 + 5837 = u*n. Calculate the lowest common multiple of 22 and n. 19096 Suppose -4*n + 2*m = 4, 20*n + 3*m - 16 = 21*n. What is the least common multiple of n and 6578? 6578 Let a be (-14)/(-2 + -1*(-15)/5). What is the common denominator of 7/a + (-22)/252 and 103/70? 630 Let p(g) = 40*g**2. Let o be (-8)/(-24) - 4/(-6). Let q be p(o). Find the common denominator of -23/7 and (8/q)/(2/(-24)). 35 Let l(p) = p**2 + 21*p - 20. Let m be l(-22). Suppose -m*b + 2 = 0, 5*b = -k + 5 + 34. Calculate the smallest common multiple of 4 and k. 68 Let o = -11 + 41. Let j = -69 + o. Calculate the common denominator of 9/65 and (-3)/(-9) - j/18. 130 Let p be (-3)/(-6) + (-15)/6. Let u(c) = c**2 + 4*c + 5. What is the lowest common multiple of u(p) and ((-4)/(-22))/(-1) + 68/11? 6 Let v = -3761 - -3969. What is the lowest common multiple of v and 792? 20592 What is the common denominator of 10 + 8789/(-1100) - 15/10 and -7/544? 13600 Suppose 1856 = -18*d + 2*d. Let x = d - -140. Calculate the least common multiple of 56 and x. 168 Let j(u) = u**3 - 4*u**2 + u - 3. Let a be j(4). Calculate the least common multiple of 4 and ((-55)/(-22))/(a/4). 20 Let g(u) = -u**3 + 6*u**2 - 5*u + 4. Calculate the common denominator of g(3) and (-348)/2745 - (((-74)/10 - -1) + 6). 183 Let j = -48031 + 2305355/48. Find the common denominator of -23/366 and j. 2928 What is the lowest common multiple of 340 and 49197/1395 + 8/(-30)? 2380 Let b(t) = -t**3 + 15*t**2 + t - 13. Let q(s) = 6*s - 6. Let m be q(8). What is the smallest common multiple of b(15) and 7/m - (-17)/6? 6 Find the common denominator of 9/126*0 + (-106)/8 and 101/48. 48 Calculate the least common multiple of (-36532)/(-84) - 42/(-441) and 261. 1305 Suppose -13 = -5*b + 2. Find the common denominator of b + (3315/100)/(-13) and 101/20. 20 Suppose -2*p + 2*a + 50 = 0, 2*a - 15 - 15 = -2*p. Let m = p - 34. Find the common denominator of -8/5 and (-4*5)/((-77)/m). 55 Let t(j) = -4*j + 6. Let a be t(0). Suppose 3*r = a*r - 129. Let l = r - 13. Calculate the least common multiple of l and 2. 30 Suppose -8*g + 2*j = -4*g - 52, -5*j = -20. Suppose 5*y = 4*h - 348, 261 = 8*h - 5*h - 5*y. Let p = 90 - h. What is the least common multiple of p and g? 15 Let g = 2900 + -2885. Let h be 8/24 - 88/(-6). Let f = 36 - h. What is the lowest common multiple of g and f? 105 Let n be (-38*1/48)/(3/(-26396)). Let g = -6974 + n. Calculate the common denominator of 0 - ((-346)/(-12))/1 - -5 and g. 18 Let v(x) = -3*x - 31. Let p be v(-21). Let u = p + -33. What is the common denominator of -91/22 and 1*(u + 2) + (-511)/(-14)? 22 Find the common denominator of 9/((-18)/166)*4/(-48) and -109/52. 156 Let w be -2*(-81)/6*-1. What is the common denominator of -77/32 and (-12)/w + (-445)/1260*-22? 224 Let l = -151/5 - -268/15. What is the common denominator of -4 - (1 + -1) - 639/108 and l? 12 Let j = -68290 - -68310. Let z(b) = -35*b. What is the lowest common multiple of j and z(-4)? 140 Let m = 19 + -9. Let f(s) = -26*s**2 - 22*s. Let n(x) = 137*x**2 + 111*x + 1. Let h(b) = -11*f(b) - 2*n(b). Calculate the lowest common multiple of m and h(-2). 30 What is the common denominator of 3 - -4 - (-7)/((-29120)/28067) and (-1281)/54 + -3 + 26/9? 960 Suppose -538 = -2*y + 270. Calculate the smallest common multiple of 12 and y. 1212 Calculate the lowest common multiple of 5320 and (-3756)/(-12) - (-18 - 5). 31920 Let f = -4 + 2. Calculate the common denominator of (-62)/(-2232)*(-2 + -104) and (-271)/84 - f/(-3). 252 Let h be (1*(-3 - 2))/(-1). Suppose -d + h*d = 288. Calculate the common denominator of (-10)/45 + (-974)/d and 48/5. 20 Let n(x) = -x**3 + 5*x**2 - 2*x - 2. Let s be 96/60*5/2. Suppose 36 = 20*c - 14*c. Calculate the least common multiple of c and n(s). 6 Suppose -18*t = 3*t - 609. Suppose 7*q - t - 139 = 0. What is the least common multiple of 9 and q? 72 Find the common denominator of ((-204)/1232)/((-70)/(-84)) and -179/630. 6930 Suppose 5 = 2*p - 11. Calculate the common denominator of ((-7)/3)/(5 - 2) and 38*((-1)/(-15))/(9 - p). 45 Let p(k) = -2*k**3 + 31*k**2 - 15*k - 6. Let b be p(15). What is the smallest common multiple of (((-1288)/42)/(-23))/((-1)/b) and 114? 456 Let j = -71 + 296. Let p be (330/j)/((-8)/(-21095)). Let y = p + -3865. What is the common denominator of y and 143/6? 12 Calculate the common denominator of (-14)/(560/30)*(-164)/(-6) and (-1450)/620 - (-2 - 0 - -1). 62 Suppose 5 = 9*p - 40. Let m = -963 - -967. Calculate the lowest common multiple of m and p. 20 Calculate the lowest common multiple of -8 + 10 - 4*14/(-4) and 128. 128 Let i = -8491/5 - -1604824/945. Calculate the common denominator of 85/108 and i. 756 Find the common denominator of ((-59)/8)/(1716/1040*-30) and -145/126. 2772 Let f(x) = 12*x - 1. Let h be f(5). Let a = -535 - -482. Let v = a + h. Calculate the lowest common multiple of v and 6. 6 Let x be (-2)/(-14) + 4*(-29976)/842464. Let z = x - -342203/90264. What is the common denominator of z and -91/32? 96 Let v be (114/27*2)/(2/120). Let c = 521 - v. What is the common denominator of c and 341/22 - 6/(-2)? 6 Let k = -25254/11 + 2294. Let l = -54531 + 599845/11. What is the common denominator of l and k? 11 Let x be 6*(7925/(-1985) - -4). Let d = 217051/2382 + x. Let a = d + -107. Find the common denominator of 24/11 and a. 66 Let s = -2238 - -4778. What is the least common multiple of s and 20? 2540 Calculate the common denominator of 37/140 and 20/(-4) - ((-6666)/1110 - -1). 5180 Let u = 691521965/1038 - 666206. Find the common denominator of u and 11/12. 2076 Let q(g) = -g**2 + 3*g + 7. Let h be q(5). Calculate the common denominator of 0 + 367/18 + -12 and ((-51)/(-15))/(h/(-5)). 18 Suppose -j = 4*s - 93 + 609, 0 = 2*j - 4*s + 1008. Calculate the least common multiple of (-1)/(-2)*j/(-2) and 11. 1397 What is the smallest common multiple of 15 and 4 + (101 - 9) + -16? 240 Calculate the common denominator of (-201515)/25830 + (1*2)/(-14) and ((-3)/
{ "pile_set_name": "DM Mathematics" }
t value in -1/19, 2/27, -0.5, 1? 2/27 Which is the fourth smallest value? (a) -142.9 (b) 4 (c) 2 (d) -0.4 b What is the biggest value in 1157/6, -4, 30? 1157/6 Which is the biggest value? (a) -0.5 (b) -0.6 (c) 6023 c Which is the fourth smallest value? (a) -7 (b) 2977 (c) -1 (d) 6 b Which is the biggest value? (a) -2 (b) -4 (c) 2/13 (d) -0.5 (e) -0.3 c Which is the fifth smallest value? (a) 1/5 (b) 0.04 (c) -4 (d) -2/9 (e) 1 e Which is the second biggest value? (a) 9362 (b) 2 (c) -28 (d) 1/6 b Which is the biggest value? (a) 3 (b) 1614 (c) 6/13 b What is the third smallest value in -2, -3, 3/8, -10, 2/95? -2 Which is the third biggest value? (a) -3/13 (b) 1/2 (c) 1 (d) 0.04 (e) 0.8 b What is the third biggest value in 0.7, 1/46, -12, 1? 1/46 Which is the fifth smallest value? (a) 0.5 (b) -1 (c) -4.137 (d) 0.02 (e) -3/8 a What is the third smallest value in -604/9, 55, -3/7? 55 Which is the smallest value? (a) -1 (b) -13/5 (c) -2 (d) 0.6 b What is the fourth smallest value in 1, -3/8, 0.4497, -1/2? 1 Which is the second biggest value? (a) 2 (b) 1 (c) -29 (d) -312 b Which is the fourth smallest value? (a) 2 (b) -0.5 (c) -17 (d) 0.2 (e) -176 (f) 0.3 d Which is the third biggest value? (a) 0.319 (b) 1/6 (c) -1 (d) 0 (e) -2 (f) 0.2 b What is the sixth biggest value in -1/3, 2/9, -14, 2/11, 3/46, -0.17? -14 Which is the second biggest value? (a) 0.3 (b) -38 (c) -0.1 (d) -8.7 (e) 1/9 (f) -4 e Which is the second biggest value? (a) 7 (b) -1/3 (c) 39.5 (d) -0.1 (e) -2/7 a What is the third biggest value in 0.5, -2/191, -2, -0.4, -2/521, 4/7? -2/521 Which is the biggest value? (a) 4 (b) 24324 (c) 0.4 b What is the fourth biggest value in -1, 0, -17/2, -0.5, 3, 1/9? -0.5 What is the sixth biggest value in -0.06, -1, 12, 3, 3/131, 2/19? -1 What is the third biggest value in 0.2, -5, 0.08, -2/13, 184? 0.08 Which is the second biggest value? (a) 2/9 (b) 1/3 (c) -0.1165 (d) 2/13 a What is the second biggest value in -3/5, 0.2, 2, -1/36, -2/21, -2/2025? 0.2 What is the sixth smallest value in -2.131, -1/6, 0.4, 3/4, 3, -2? 3 Which is the second biggest value? (a) 29.8 (b) -1/5 (c) -12 b What is the second biggest value in -3/2, -2, -4, -25894? -2 Which is the second biggest value? (a) -2/9 (b) -2/7 (c) -6.14 (d) 3 (e) -3 a What is the sixth smallest value in 3, 2/73, -0.1, -9, 4, -2/11? 4 What is the third biggest value in 2, 0.0429, -1188? -1188 What is the sixth biggest value in -1, 0.1, 2, 1/15, -2/7, 9/2? -1 Which is the second biggest value? (a) -2 (b) 2/3 (c) -1 (d) -3581 c What is the smallest value in -12, -1, 200? -12 Which is the biggest value? (a) 0.5 (b) -2 (c) 2/5 (d) 481 d Which is the biggest value? (a) -302 (b) -0.048 (c) -0.1 b What is the fifth smallest value in -1/7, 17/2, -2/3, 13, -1, -3? 17/2 Which is the biggest value? (a) -1/3 (b) -5 (c) -154.9 (d) 0.4 d What is the third biggest value in 13, 0.1, 37/15? 0.1 What is the fifth smallest value in -13, 0, -21, 2/19, -0.03, -0.25? 0 Which is the second smallest value? (a) -2 (b) 3/2 (c) 264 (d) -0.4 (e) 0.1 d Which is the third biggest value? (a) 0 (b) -0.95 (c) -4 (d) -58 c What is the second biggest value in 1/3, 28.13, -2/9, 5? 5 Which is the third smallest value? (a) -3/44 (b) -5 (c) -2/21 (d) -19 (e) 0.202 c Which is the biggest value? (a) 1 (b) -1.2756 (c) -0.03 a Which is the third biggest value? (a) 3201 (b) 18 (c) -0.2 c Which is the second biggest value? (a) 0.1 (b) 0.8 (c) -131 (d) 2 b What is the smallest value in 23, -24, -5? -24 What is the fourth biggest value in 0, 0.04, -13.289, -3, 2? -3 What is the third biggest value in 348, -12/7, -2/15? -12/7 What is the fourth biggest value in 23, 4, -8, 0, 3/10? 0 What is the third smallest value in -74, -4, 61/7? 61/7 Which is the fifth biggest value? (a) 5 (b) 95 (c) 0.4 (d) -0.044 (e) 2 d What is the third biggest value in 320181, 2/3, 0.5? 0.5 Which is the third biggest value? (a) -0.5 (b) -4 (c) -4261 c Which is the second biggest value? (a) -8/7 (b) 91 (c) -101 a What is the fourth smallest value in -0.18, 32, 0, -5, -2? 0 What is the fifth smallest value in 2/7, 4/9, -39, 2/13, -2/3, 21/5? 4/9 Which is the second smallest value? (a) -1/5 (b) 2 (c) 22/3 (d) 0.41 (e) 1/5 (f) 1 e What is the fourth biggest value in 3/2, 141, -0.3, -0.5, 2/7? -0.3 What is the second smallest value in -0.5, 199, 0.4, 1/8? 1/8 Which is the smallest value? (a) -19 (b) -0.03116 (c) 1 a What is the second smallest value in 3/5, 0.4, -2/19, -0.085, 12, -2? -2/19 What is the sixth biggest value in -1/4, 38, -2, -0.4, -8/5, -3? -3 What is the fifth biggest value in 4, 1/6, 2/9, 0, -3/34? -3/34 What is the fifth smallest value in 15/2, 2/5, 3/8, 1/2, -0.3? 15/2 What is the third biggest value in 4, 0.239, -2, -0.5? -0.5 What is the smallest value in 3/8, -1, 1/5, -3, -2863, 3? -2863 What is the second smallest value in -3, -0.2, -0.1, 0.37, 2/7, 0.22? -0.2 Which is the second biggest value? (a) 0.2 (b) -1/11 (c) -2/7 (d) -4 (e) 14.28 (f) 0.7 f What is the second smallest value in -7, 2/15, 4, 0, 6, 1/6? 0 Which is the smallest value? (a) -3/7 (b) -5/3 (c) 7938 b What is the fifth smallest value in 3/2, 0.6, -0.33, 0, 1/13, -5? 0.6 What is the second biggest value in -5, -1.86, -156.5? -5 Which is the third smallest value? (a) -17625 (b) -2/7 (c) 5 c What is the smallest value in 5, 5/2, 0.3, 39? 0.3 Which is the second biggest value? (a) -0.2 (b) -312 (c) -5 (d) 3 (e) -2 (f) 0 f Which is the third smallest value? (a) -0.2 (b) 41/2 (c) 444 (d) 4 b What is the fifth smallest value in 37/6, -2/5, 4, -1/21, 1? 37/6 Which is the third biggest value? (a) 1/73 (b) -4 (c) 5 (d) -0.4 d What is the fourth biggest value in 7/16, 1, -3/8, 0, 0.5? 0 What is the biggest value in -1, -100, -4.9? -1 What is the smallest value in -2/7, -0.3, 2, 7, 30, -2/5? -2/5 Which is the second biggest value? (a) -2.05473 (b) 5 (c) 1/4 c What is the second biggest value in -3, -2206414, 1? -3 Which is the fourth biggest value? (a) -38 (b) -1 (c) -0.19 (d) -3/2 (e) -0.5 d Which is the second smallest value? (a) 4 (b) -0.1 (c) 0.085 (d) -38/7 b Which is the fifth smallest value? (a) -32 (b) -3 (c) -0.91 (d) 1.4 (e) 5/2 e Which is the third smallest value? (a) -1 (b) 5/4 (c) -3/2 (d) 151 (e) -6 a What is the second biggest value in -0.294, -279, 0.5? -0.294 What is the fourth biggest value in -5, 0, -59, 0.18, -12? -12 What is the fourth biggest value in -3/2, -0.56, -3/4, -8, 2? -3/2 Which is the second smallest value? (a) 8 (b) 0.5 (c) -1/3 (d) 2/5 (e) 0.3 e What is the fourth biggest value in 34, 2/5, -0.5, 213, -4? -0.5 Which is the sixth smallest value? (a) -1 (b) -0.5 (c) 5 (d) -80 (e) -2 (f) 3 c What is the smallest value in 326.2, 1/7, 0.3? 1/7 What is the smallest value in -4, 5, 1, 8/25? -4 Which is the biggest value? (a) -41 (b) -4/7 (c) 2/7403 (d) 4 d Which is the third biggest value? (a) -666/11 (b) -1/9 (c) 3 a Which is the sixth biggest value? (a) -2/11 (b) 6 (c) 1/14 (d) 221 (e) 1/2 (f) 2/3 a What is the smallest value in 0.1, -34, -8, -81, 2/13? -81 What is the fifth biggest value in 5, -1411.97, -1, 0, 4/7? -1411.97 Which is the second biggest value? (a) -7 (b) -740 (c) 22 a What is the fourth biggest value in -0.3, -1/5, 77.8, 0.11, 3, -3? -1/5 Which is the fourth biggest value? (a) 0.4 (b) -0.3 (c) -11 (d) -237/2 (e) -2 (f) 3 e What is the third biggest value in -356/17, -0.2, -0.4, 45? -0.4 What is the second biggest value in 18/119, 7, -3, 2, -0.07, 0.5? 2 Which is the smallest value? (a) 1 (b) -1 (c) -8/7 (d) -3/5 (e) -19 (f) -4 e Which is the fifth smallest value? (a) -1/3 (b) -1/576 (c) -6 (d) 3/16 (e) -1 d Which is the second smallest value? (a) 1/2 (b) 10 (c) 0.01 (d) -4/3 (e) -25 d What is the fourth biggest value in 2, 1/6, 0.3, 169.6, 0.2? 0.2 Which is the fourth biggest value? (a) 75 (b) 5 (c) -3/14 (d) -0.3 d Which is the second smallest value? (a) 8/5 (b) -2 (c) 3/796 (d) 3/2 c Which is the fifth smallest value? (a) 12 (b) -0.3 (c) 0 (d) -4 (e) 14 (f) 4/13 a What is the third biggest value in -24464/7,
{ "pile_set_name": "DM Mathematics" }
2*i + i + 37 - 32 = 0 for i. 5 Solve 152*c + 1112 = -206*c - 198*c for c. -2 Solve 62*c = -125*c - 610 + 2854 for c. 12 Solve 52 + 126 = 17*g - 26 for g. 12 Solve 251*p - 245*p = -54 for p. -9 Solve 56*m = -9*m + 15*m for m. 0 Solve -1874 = 87*z - 917 for z. -11 Solve -88*j = 167*j + 255 for j. -1 Solve 0 = 25*y + 15*y + 257 + 23 for y. -7 Solve -26*n - 23470 + 23106 = 0 for n. -14 Solve 0 = -9*i + 58 - 21 + 35 for i. 8 Solve -13 + 0 = 29*t - 100 for t. 3 Solve -43*i - 6*i + 286 = -841 for i. 23 Solve 0 = -164*p + 143*p - 294 for p. -14 Solve 28*l = -74*l - 102 for l. -1 Solve 212*p + 689 - 7261 = 0 for p. 31 Solve -42 + 104 = 11*n - 37 for n. 9 Solve 652*d - 104 = 626*d for d. 4 Solve -274*w + 1147 + 144 + 1723 = 0 for w. 11 Solve 469*j - 30 = 474*j for j. -6 Solve -16632*j + 16658*j - 208 = 0 for j. 8 Solve 11*c - 4 + 9 + 39 = 0 for c. -4 Solve -50708*a + 150 = -50718*a for a. -15 Solve -2449*z = -2681*z - 3944 for z. -17 Solve 0 = 67*y - 81*y - 98 for y. -7 Solve 18*l + 277 = 529 for l. 14 Solve -409*o + 845*o = 423*o - 351 for o. -27 Solve -268 + 1138 = 85*p - 320 for p. 14 Solve 0 = 934*u - 972*u + 54 - 16 for u. 1 Solve -2214*c - 273 = -2253*c for c. 7 Solve 389*g = 5071 + 5043 for g. 26 Solve -2420*m + 1880 = -2373*m for m. 40 Solve 9114 = 228*b + 423*b for b. 14 Solve 804 = 6*w + 786 for w. 3 Solve 23*w - 11*w - 113 = 223 for w. 28 Solve 93*o = 60*o + 76*o for o. 0 Solve 0*y - 6864 = -516*y - 12*y for y. 13 Solve -955 - 4247 - 1134 = 352*g for g. -18 Solve -1166 = 228*i + 430 for i. -7 Solve -45*h - 53*h - 52*h = 300 for h. -2 Solve 17*w + 244 = -12*w - 32*w for w. -4 Solve -2*p - 56 = 5*p - 14*p for p. 8 Solve 156 = -105*f - 234 - 240 for f. -6 Solve -17*k = 47*k + 50 - 1202 for k. 18 Solve -2127 - 4033 = -36*h + 476*h for h. -14 Solve 19*n = -2013 + 1956 for n. -3 Solve 47*t - 96 - 139 = 94 for t. 7 Solve -6*m - 224 = 9*m + 91 for m. -21 Solve -7*r - 279 + 342 = 0 for r. 9 Solve -24*j + 35*j = -52*j + 756 for j. 12 Solve -34268 = -820*j - 11308 for j. 28 Solve 155 = 20*z + 115 for z. 2 Solve 4*u - 9*u + 165 = 10*u for u. 11 Solve 1091*f + 361 + 521 = 1133*f for f. 21 Solve 315 = 43*g + 46 - 247 for g. 12 Solve 0 = 134*w + 329 + 2485 for w. -21 Solve 30*a - 99 = 45*a + 6 for a. -7 Solve 391*c = 380*c - 110 for c. -10 Solve -40*m - 52*m - 480 = -12*m for m. -6 Solve -636 = -116*b + 35*b + 498 for b. 14 Solve 0 = -221*y - 955 - 1034 for y. -9 Solve 156 = 5*m + 23*m + 24*m for m. 3 Solve 678*z = 1035*z + 760*z - 3351 for z. 3 Solve 241 = -52*q + 1697 for q. 28 Solve -2335 = -415*j + 2264 + 2041 for j. 16 Solve 0 = -73*j + 80*j + 21 for j. -3 Solve 0 = 35*z - 4*z - 27*z + 20 for z. -5 Solve -m - 4095 = -4122 for m. 27 Solve -7312 = 955*f + 5154 + 1859 for f. -15 Solve 213*j + 450 = -2958 for j. -16 Solve 4*q - 20*q - 96 = 48 for q. -9 Solve 23*d + 5*d = -32*d - 660 for d. -11 Solve 0 = 4*u - 54 + 160 - 66 for u. -10 Solve 0 = 477*x + 699*x - 5880 for x. 5 Solve -34*v = -216*v + 44*v - 2208 for v. -16 Solve 22*q + 3900 = -92*q - 81*q for q. -20 Solve 113*a - 121 = -1929 for a. -16 Solve 52 + 28 = 12*f - 4*f for f. 10 Solve 6*k - 109 + 66 + 247 = 0 for k. -34 Solve 0 = -36*g - 115*g - 480 - 1634 for g. -14 Solve -11188 = -6*o - 11158 for o. 5 Solve 319 = -153*d + 2*d - 285 for d. -4 Solve 57*q - 28 + 940 = 0 for q. -16 Solve 8*q = -26*q + 7 - 619 for q. -18 Solve 146*i + 347 = 331 + 1476 for i. 10 Solve -208 = -132*i + 56 for i. 2 Solve -26*a = 28*a - 26*a - 168 for a. 6 Solve 0 = -772*l + 773*l - 10 for l. 10 Solve -132*y + 144 = -1044 for y. 9 Solve 54*z + 263 + 147 + 454 = 0 for z. -16 Solve 3*j + 5*j - 53 - 35 = 0 for j. 11 Solve -21*z + 92 = -93 - 46 for z. 11 Solve 110 - 404 = 42*o for o. -7 Solve 0 = 45*v - 161*v - 243 - 1265 for v. -13 Solve -56*r = -199*r - 1456 - 1404 for r. -20 Solve -297*a - 328*a + 190*a = -3045 for a. 7 Solve 704 = 30658*x - 30594*x for x. 11 Solve 8*d + 12358 = 12054 for d. -38 Solve 0 = 77*k - 1081 - 74 for k. 15 Solve 24*t - 147 = -44*t + 57 for t. 3 Solve 0 = -62201*y + 62176*y + 350 for y. 14 Solve 226*m = 57 - 283 for m. -1 Solve 3533 = -8*u + 3517 for u. -2 Solve -13*r + r + 81 = 15*r for r. 3 Solve 95 + 18 = 228*d - 115 for d. 1 Solve 0 = -418*s + 392*s - 520 for s. -20 Solve -2723*s = -2617*s - 1590 for s. 15 Solve 180 - 126 = -40*l - 226 for l. -7 Solve 0 = 64*m - 14 + 142 for m. -2 Solve -6326 + 6146 = 30*o for o. -6 Solve 302926*s = 302935*s - 36 for s. 4 Solve 3639*w - 3651*w - 180 = 0 for w. -15 Solve 71*w = -846 + 633 for w. -3 Solve 0 = -21*t + 320 - 278 for t. 2 Solve -51 + 408 = 21*v for v. 17 Solve 252 - 266 + 1364 = -150*i for i. -9 Solve -171*x + 1282 + 770 = 0 for x. 12 Solve 18*h = 46493 - 46475 for h. 1 Solve -156*h + 206 = -730 for h. 6 Solve -2551*b = -2598*b - 188 for b. -4 Solve -114 = 23*g + 17*g + 17*g for g. -2 Solve 6*p - 2*p = -7*p - 132 for p. -12 Solve 9238*p - 9341*p = -206 for p. 2 Solve 0 = 77*p - 6*p + 379 - 1231 for p. 12 Solve 138*b = 32*b - 742 for b. -7 Solve 54*a + 367 = 205 for a. -3 Solve -399*m - 15 = -402*m for m. 5 Solve 297*c - 780 - 3081 = 0 for c. 13 Solve 203*f - 37*f + 830 = 0 for f. -5 Solve 46282 - 46576 = 21*t for t. -14 Solve 0 = 70*k + 129 + 121 + 520 for k. -11 Solve -9591 = -267*g - 150*g for g. 23 Solve 0 = -246*f - 363*f + 609 for f. 1 Solve 0 = 536*a - 499*a + 222 for a. -6 Solve 97*n + 0*n - 3120 = -111*n for n. 15 Solve 0 = -95*z - 77*z + 253*z + 1944 for z. -24 Solve -108*l - 64 + 540 = -1036 for l. 14 Solve -217*i - 412 - 239 = 0 for i. -3 Solve 230*d - 762*d + 2471 = -1253 for d. 7 Solve 769*u + 45 = 780*u - 142 for u. 17 Solve 10*z - 21*z = -143 for z. 13 Solve -34*w + 1239 = -16*w + 41*w for w. 21 Solve -161217*p + 161172*p - 765 = 0 for p. -17 Solve 106*p = 92*p + 84 for p. 6 Solve -6741 = 2*u + 2*u - 6733 for u. -2 Solve 633 = -68*m + 1653 for m. 15 Solve 300 + 162 = 78*n - 6 for n. 6 Solve -20*b + 0*b + 204 = -32*b for b. -17 Solve 4*n - 42*n = -21*n + 340 for n. -20 Solve -22*i = -105 + 81 - 218 for i. 11 Solve -24 = -11*n + 121 - 13 for n. 12 Solve 173 = -173*a - 3287 for a. -20 Solve -568 = 76*t - 2316 for t. 23 Solve -1977*p = -1965*p - 240 for p. 20 Solve 147*z + 602*z = 104*z + 10320 for z. 16 Solve -20*y + 0 = -240 for y. 12 Solve 13*l + 9261 - 9037 = -3*l for l. -14 Solve -140 - 16 = 16*q + 36 for q. -12 Solve -147 = 18*k + 129*k for k. -1 Solve 26*z + 448 = 114 - 30 for z. -14 Solve -18*x - 12 = -37*x + 17*x for x. 6 Solve -33*q + 208 = 71*q for q. 2 Solve 0 = 279*c - 276*c + 4 - 10 for c. 2 Solve -41*b + 4*b + 70 + 337 = 0 for b. 11 Solve 5070 = 70*a - 234*a - 681*a for a. -6 Solve 38 = 4619*l - 4657*l for l. -1 Solve 0 = 8111*j - 8117*j + 54 for j. 9 Solve 101*c + 481 = -433 - 904 for c. -18 Solve 3*f - 252 + 255 = 0 for f. -1 Solve -906*r = 1408*r - 186*r + 53200 for r. -25 Solve 0 = -26*k + 27*k + 77*k + 234 for k. -3 Solve 127 = -129*h - 173 - 216 for h. -4 Solve -5*h - 2194 = -2209 for h. 3 Solve 255 = 159*q - 108*q for q. 5 Solve -272*f = 381*f + 10419 + 4600 for f. -23 Solve -17259 = -22*l - 8318 - 8413 for l. 24 Solve 0 = -4*m - 34*m + 277 - 49 for m. 6 Solve 594*p + 4195 + 6497 = 0 for p. -18 Solve -519 = 182*g + 608 + 3059 for g. -23 Solve -153 + 48 = 45*u - 10*u for u. -3 Solve 0 = 24*i - 39 - 99 - 30 for i. 7 Solve -559 + 651 = -25*t - 508 for t. -24 Solve 9*z - 59 + 128 = -57 for z. -14 Solve 13*r + r = 4*r + 20 for r. 2 Solve -53 + 5 = 10*h + 82 for h. -13 Solve 54*c - 2*c = -2*c + 108 for c. 2 Solve -59*u = -21*u - 912 for u. 24 Solve 9 = -44*k + 161*k - 576 for k. 5 Solve 26*t = -33 - 201 for t. -9 Solve 21*r + 152 = 43*r - 30*r for r. -19 Solve -424*y + 817*y - 408*y - 210 = 0 for y. -14 Solve -3*s = 95 - 98 for s. 1 Solve 21 = -6458*w + 6520*w + 951 for w. -15 Solve -c - 570 = -279 - 286 for c. -5 Solve 266*y = -2005 + 5463 for y. 13 Solve -14*m - 7840 = -8218 for m. 27 Solve 65*y - 20844 = -20974 for y. -2 Solve 11*l - 144 = 40*l + 117 for l. -9 Solve 87*q + 32 = 184*q - 81*q for q. 2 Solve -44*c - 3000 = -169*c for c. 24 Solve -46*a + 6*a - 3784 = -212*a for a. 22 Solve -30*k = 105 - 375 for k. 9 Solve -1234*u + 182 = -1221*u for u. 14 Solve 114*s - 322*s + 1872 = 0 for s. 9 Solve -14888*f + 14919*f - 775 = 0 for f. 25 Solve 46*g - 17*g + 640 = -51*g for g. -8 Solve -107788*l = -107862*l - 1702 for l. -
{ "pile_set_name": "DM Mathematics" }
- 2*x + i = 135. What is the remainder when 79 is divided by x? 23 Suppose -5*m + 25249 = -4*v, -3*m - 37*v = -36*v - 15129. Calculate the remainder when m is divided by 50. 45 Suppose -242 = 15*n - 13*n. Calculate the remainder when (-1 + 2)/((-2)/12) - n is divided by 32. 19 Let u(n) = -n**3 - 2*n**2 + 2*n. Let k(g) = g**3 + 6*g**2 - 5*g + 9. Suppose 8*x + 50 = -6. Let r be k(x). Calculate the remainder when u(r) is divided by 17. 14 Suppose -5*j = -5*n + 480, 0*n = 2*n + 5*j - 220. Calculate the remainder when 1157 is divided by n. 57 Suppose -18*d + 21*d + 189 = 0. Let s = 3 - -4. What is the remainder when (-1246)/d - (-2)/9 is divided by s? 6 Let c(p) = -41*p + 87 + 13*p - 27 + 22*p. Suppose 0*g + g = 59. What is the remainder when g is divided by c(8)? 11 Let b = -1860 - -2145. Calculate the remainder when b is divided by 58. 53 Let a(y) = -y**3 + 4*y**2 + 23*y - 12. Let o be a(7). Suppose f + 27*h - 46 = 32*h, -3*h = -o*f + 120. Calculate the remainder when 261 is divided by f. 63 Let j = -1062 + 1684. Calculate the remainder when j is divided by 122. 12 Let i(m) = -66*m + 1 - 3 - 211*m. Let q be i(-2). What is the remainder when (q/(-36))/(2*(-2)/6) is divided by 8? 7 Let g(s) = -2*s**3 - 160*s**2 + 160*s + 6. What is the remainder when 512 is divided by g(-81)? 8 Let q be -8 + 51/6 + (-669)/(-2). Let v = 370 - q. Calculate the remainder when v is divided by 14. 7 Suppose -5*c + 0*p + 977 = -3*p, 0 = -p + 1. Suppose -222 + 2422 = 22*l. Calculate the remainder when c is divided by l. 96 Suppose 12*v = -36*v + 2208. What is the remainder when 454 is divided by v? 40 Suppose 13*t + 650 = 23*t. Suppose 0 = -w - 17 + t. Calculate the remainder when 135 is divided by w. 39 Suppose 24*d - 1945 = 2654 - 3543. Calculate the remainder when 4927 is divided by d. 43 Suppose 0 = -314*v + 2014 + 2382. Suppose -436 = -2*x + 176. Calculate the remainder when x is divided by v. 12 Let s(m) = 51*m**3 + 3*m**2 - 12*m + 11. Calculate the remainder when 2429 is divided by s(1). 44 Let k be (12/(-10))/(7/(210/(-12))). Let q be (4 - (-4 + 7))/(1/k). Suppose -5*z + 4*u + 64 = -z, q*z - 4*u = 53. What is the remainder when 30 is divided by z? 8 Let r(y) = -6*y - 6. Let l be -4 + (-80)/(-13) + (-18)/117. Suppose 3*b - 219 = -l*a - a, -2*b = -6. Calculate the remainder when a is divided by r(-5). 22 Let j(h) = 36*h - 131. Suppose -10*k = -8*k - 60. Suppose y - 5*w - 64 = 11, 0 = y + 4*w - k. Calculate the remainder when y is divided by j(4). 11 Let n be (8 - 60/7) + (-540)/(-14). What is the remainder when 27 is divided by ((0 - 2) + 0)/(n/(-285))? 12 Suppose -2*s + 4700 = 3*c, 2*c - s + 3*s = 3134. Calculate the remainder when c is divided by 7. 5 Suppose -256 = -3*u + h + 59, 4*u - 420 = 3*h. Calculate the remainder when 378 is divided by u. 63 Let b(o) = -6*o**2 + 427*o - 356. What is the remainder when b(66) is divided by 337? 5 Let r be 3/(-2)*(1 + (-21)/9). Suppose 3*i - 7*i - r*d = -44, -2*i + 4*d + 12 = 0. Suppose -8*v = -i*v + 24. Calculate the remainder when 30 is divided by v. 6 Let p(m) = 24*m**2 + 2*m + 1. Let d be (-286)/(-2)*1/(-2 - -3). Suppose 17*n - d = 6*n. Calculate the remainder when p(-1) is divided by n. 10 Let w be (-2)/(-3) + ((-111)/9)/(-1). Suppose w*r = 15*r - 20. Suppose -2*c - 320 = -r*c. Calculate the remainder when 156 is divided by c. 36 Suppose 2*v - 5*t = 10748, 2*v - v = -4*t + 5361. Suppose -v = 11*h - 24*h. What is the remainder when h is divided by 69? 68 Suppose g - 5*s - 53 = 0, 33*g + 107 = 34*g + 4*s. Suppose 3*o - 11 = 52. What is the remainder when g is divided by o? 20 Let w(z) = -13*z - 117. Let g be w(-27). Let a = -221 + g. Let m(u) = 192*u**2. What is the remainder when m(-1) is divided by a? 10 Suppose 301*u + 10128 = 304*u - 3*i, 3*u - 5*i = 10122. Calculate the remainder when u is divided by 94. 89 Let y = -7508 - -7536. What is the remainder when 2311 is divided by y? 15 Let l(x) = 33*x**2 - 3*x - 1. Let a = -768 - -802. What is the remainder when l(-3) is divided by a? 33 Suppose 7*v - 15080 = -2781. Calculate the remainder when v is divided by 110. 107 Let f(g) = -7*g**2 + 63*g + 11. Let c be f(12). Let b = c - -418. What is the remainder when b is divided by 18? 15 Let f(m) = -2*m**2 - 7*m + 9. Let j be f(3). What is the remainder when 202 is divided by 45/j*(-8)/(-6) - -14? 10 Let s(w) = 11*w - 374. Let p be (3 + -25)/((-5)/20). Let g = 162 - p. Calculate the remainder when g is divided by s(35). 8 Let z = -26450 - -27011. What is the remainder when z is divided by 225? 111 Suppose 32*z = 24*z. Suppose 4*s = -5*w - 42, -2*w + 3*s + z*s = 26. Calculate the remainder when 91 is divided by (-2)/((-8)/93) + w/40. 22 Calculate the remainder when (2 + -135)/((-7)/63) is divided by 40. 37 Let o = 215 + -140. Suppose 0 = 4*r - u - 567, -3*r = -u + o - 500. Suppose -r = -3*f + a, -4*f - 4*a + 122 = -f. What is the remainder when f is divided by 7? 4 Let y(j) = -34*j + 7. Let d(g) = g**2 - 11*g + 52. Suppose 3*k = 5*k - 16. Calculate the remainder when y(-3) is divided by d(k). 25 Let m = 1985 - 1978. Let i(g) = -g**3 - g + 41. Calculate the remainder when i(0) is divided by m. 6 Let k(q) = 3*q**2 - 18*q + 15. Let g be k(7). Suppose g + 54 = 6*y. Calculate the remainder when 77 is divided by y. 2 Suppose 34*u = 214 + 194. Calculate the remainder when u/54 + 403/9 is divided by 12. 9 What is the remainder when 849 is divided by -6*(-44)/(-24) - -97? 75 Let j = -2131 - -3858. Calculate the remainder when j is divided by 6. 5 Let l(q) = -473*q + 2458. What is the remainder when l(5) is divided by 16? 13 Suppose -3897 = -119*v + 38467. Calculate the remainder when v is divided by 13. 5 Calculate the remainder when 22/(-264) - 81892/(-48) is divided by 349. 310 Let k(y) = y - 20. Let q be k(16). Let o(f) = f**2 - 2*f + 2. Calculate the remainder when q/7 - -207*(-1)/(-7) is divided by o(3). 4 What is the remainder when 2247 is divided by 448 - (18 + -11 + -3 + 2 + -4)? 17 Suppose -3*i + 17 = 2. Let q(m) be the first derivative of -m**4/2 - m**3/3 - 7. Calculate the remainder when i is divided by q(-1). 0 Let s = -41 + 24. Let j = s - -29. What is the remainder when (7525/(-645))/((-1)/3) is divided by j? 11 Let l(p) = -p**3 - 21*p**2 - 30*p - 164. Let b(i) = 5*i**3 + 2*i**2 - 3*i - 1. Calculate the remainder when b(3) is divided by l(-20). 35 Suppose 8*l - m = 3*l - 8, l = 3*m + 4. What is the remainder when ((-21)/l)/(1 - 10/16) is divided by 8? 4 Let u be (-30)/5*38 - 6. Calculate the remainder when 16*7 - (-2)/(-2) is divided by (-1)/13 + (-4464)/u. 16 Let y(u) = -u + 12*u**2 + 5*u**2 - u - 3*u**2 + 2. Let p be y(4). Suppose 3*c + q + 215 = 7*c, -p = -4*c - 2*q. Calculate the remainder when c is divided by 11. 10 Suppose 3*l = 2*l. Suppose n - 3*q - 138 = 0, l = 5*n - 2*q - 3*q - 670. Let f = n - 93. What is the remainder when f is divided by 10? 9 Suppose 0 = -b + 2*i + 802, 8*b - 1636 = 6*b - 4*i. What is the remainder when 68 is divided by (-10)/8 + b/40? 11 What is the remainder when ((-1820)/525)/((-4)/318) + 20/50 is divided by 131? 14 Suppose -15 = w - 2*w - 3*t, 94 = 5*w - 4*t. Calculate the remainder when 147*(-9 + 560/60) is divided by w. 13 Let c(j) = -j**2 - 10*j + 172. Let g be c(-18). Suppose -g = -4*o + 176. Calculate the remainder when 201 is divided by o. 48 Let z = 4440 - 4350. Calculate the remainder when z is divided by 35. 20 Let y be 2/(4/(-2 - -18)). Suppose 3*p - 5*l - y = 37, -4*l = -p + 15. Let k(c) = 4*c**2 + 3*c - 2. What is the remainder when k(-3) is divided by p? 10 Let h = 2 + 3. Suppose -h*i + 4*i = 4*i. Suppose -5*f + 90 = -i*f. What is the remainder when f is divided by 10? 8 Suppose -8*c = 11 - 11. Suppose -177 - 47 = -2*s - a, c = -3*a. Suppose 0 = -2*j + 38. What is the remainder when s is divided by j? 17 Let h be 5 - (2 - 3)/(1/4). Let c = h + 8. Calculate the remainder when 23 is divided by c. 6 Let q = -131 - -131. Suppose -57 = -5*c - 3*z, -4*c = -q*c + 2*z - 44. Calculate the remainder when 105 is divided by c. 6 Let a(q) = -7*q + 3*q - 58 - 24 - 11*q - 6*q. Calculate the remainder when 135 is divided by a(-5). 20 Let l(z) = -4*z**2 + 22*z + 59. What is the remainder when 2139 is divided by l(7)? 14 Suppose 120 = -2*i - 144. Let g = -129 - i. Suppose 3*t + t - 79 = 5
{ "pile_set_name": "DM Mathematics" }
king 3 m? 35/969 What is prob of picking 4 q when four letters picked without replacement from {m: 5, q: 15}? 91/323 Two letters picked without replacement from {t: 6, p: 4, c: 5}. Give prob of picking 1 c and 1 t. 2/7 Three letters picked without replacement from sriiisrrfilsssyrr. What is prob of picking 1 l, 1 y, and 1 i? 1/170 What is prob of picking 1 l, 1 u, and 1 p when three letters picked without replacement from pxluklp? 4/35 What is prob of picking 2 x and 1 l when three letters picked without replacement from {p: 1, x: 2, l: 2}? 1/5 Two letters picked without replacement from {g: 2, u: 3, i: 1, m: 1, p: 1, b: 5}. What is prob of picking 1 m and 1 i? 1/78 Four letters picked without replacement from {g: 1, q: 3, l: 6, e: 5, j: 3}. What is prob of picking 1 g, 2 l, and 1 j? 1/68 Three letters picked without replacement from {s: 4, a: 3, d: 2, g: 1, k: 7, w: 1}. What is prob of picking 2 a and 1 d? 1/136 What is prob of picking 2 b and 1 c when three letters picked without replacement from acaabaacacbabbca? 3/70 What is prob of picking 1 q and 1 u when two letters picked without replacement from elleluuturtltlqllll? 1/57 Calculate prob of picking 1 x and 2 p when three letters picked without replacement from {x: 1, p: 6, r: 3, n: 3}. 15/286 What is prob of picking 3 g and 1 d when four letters picked without replacement from {f: 1, d: 6, g: 12}? 110/323 What is prob of picking 1 t and 1 u when two letters picked without replacement from ttttthetetteeteue? 9/136 Two letters picked without replacement from {l: 1, w: 1, y: 2, r: 2, s: 1, o: 1}. Give prob of picking 2 l. 0 Two letters picked without replacement from nzznznmxzmnnnzsmznx. What is prob of picking 1 n and 1 m? 7/57 Four letters picked without replacement from wewfuwffeepeuweuew. What is prob of picking 1 p, 1 w, 1 f, and 1 e? 1/34 What is prob of picking 1 k, 1 f, and 2 o when four letters picked without replacement from kekfkooefeoeeeo? 12/455 What is prob of picking 1 e and 2 a when three letters picked without replacement from aaaaee? 3/5 What is prob of picking 3 m and 1 t when four letters picked without replacement from {g: 10, m: 4, p: 1, t: 5}? 4/969 Two letters picked without replacement from hhhhpppprphhrhhphh. Give prob of picking 2 h. 5/17 Three letters picked without replacement from {k: 1, g: 1, s: 2, c: 7, f: 5}. What is prob of picking 1 k and 2 c? 3/80 Three letters picked without replacement from fotip. Give prob of picking 1 f, 1 t, and 1 o. 1/10 Three letters picked without replacement from {v: 2, u: 3, n: 9, m: 3, i: 1}. What is prob of picking 1 m and 2 u? 3/272 Three letters picked without replacement from ttttttttttttttttts. Give prob of picking 3 t. 5/6 Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {w: 1, o: 7, l: 3, s: 5}. 9/260 Calculate prob of picking 1 c and 1 a when two letters picked without replacement from iacticiiccc. 1/11 Four letters picked without replacement from {y: 1, e: 7}. What is prob of picking 3 e and 1 y? 1/2 Calculate prob of picking 2 b when two letters picked without replacement from {h: 5, r: 1, w: 1, b: 3, k: 3, e: 2}. 1/35 Three letters picked without replacement from {w: 1, l: 4, j: 3, s: 1, r: 4, v: 7}. What is prob of picking 1 r, 1 w, and 1 v? 7/285 Four letters picked without replacement from {d: 1, c: 2, p: 4, a: 1}. Give prob of picking 2 a and 2 c. 0 Four letters picked without replacement from {x: 3, f: 3, q: 2, c: 12}. Give prob of picking 3 f and 1 c. 4/1615 Calculate prob of picking 1 t and 1 b when two letters picked without replacement from tbmbmt. 4/15 Two letters picked without replacement from {a: 4, g: 2}. Give prob of picking 1 a and 1 g. 8/15 What is prob of picking 2 g when two letters picked without replacement from {z: 2, r: 4, f: 1, g: 3, e: 1}? 3/55 Four letters picked without replacement from nlnblnlll. Give prob of picking 1 n and 3 l. 5/21 What is prob of picking 1 r and 2 k when three letters picked without replacement from {r: 1, k: 2, f: 1, l: 1}? 1/10 Three letters picked without replacement from eeeeeeeffee. Give prob of picking 2 e and 1 f. 24/55 Two letters picked without replacement from ewmujmy. Give prob of picking 1 e and 1 w. 1/21 Two letters picked without replacement from {f: 1, o: 2, k: 1, w: 1}. What is prob of picking 1 f and 1 w? 1/10 Three letters picked without replacement from imwwewbemibim. What is prob of picking 1 e and 2 w? 3/143 What is prob of picking 1 v and 1 f when two letters picked without replacement from vffffv? 8/15 What is prob of picking 1 o and 2 k when three letters picked without replacement from kzokjjjjzkkkozjkk? 21/340 Three letters picked without replacement from {f: 17, j: 3}. What is prob of picking 3 f? 34/57 Two letters picked without replacement from {o: 1, z: 19}. What is prob of picking 1 z and 1 o? 1/10 What is prob of picking 3 k when three letters picked without replacement from kkookkookkkkok? 3/13 Three letters picked without replacement from {r: 2, d: 2, c: 8, j: 1}. Give prob of picking 1 d, 1 c, and 1 r. 16/143 Two letters picked without replacement from bewebbejjbbbejeb. Give prob of picking 1 j and 1 e. 1/8 What is prob of picking 1 b and 1 q when two letters picked without replacement from yknqb? 1/10 Three letters picked without replacement from {j: 5, w: 2, u: 9}. What is prob of picking 2 j and 1 w? 1/28 What is prob of picking 1 b and 2 p when three letters picked without replacement from tptrktikrbktpb? 1/182 Calculate prob of picking 1 d and 1 f when two letters picked without replacement from pudppdfffupdu. 3/26 Calculate prob of picking 3 a when three letters picked without replacement from {t: 7, a: 4, m: 1, y: 2}. 1/91 Two letters picked without replacement from jhwwmlnm. Give prob of picking 1 l and 1 n. 1/28 Two letters picked without replacement from {a: 1, y: 1, n: 2, j: 2}. What is prob of picking 2 j? 1/15 Two letters picked without replacement from wdhwwdddmwd. What is prob of picking 1 h and 1 d? 1/11 What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 1, j: 1, p: 1, v: 1, w: 1}? 1/10 What is prob of picking 1 o and 1 p when two letters picked without replacement from {t: 1, o: 1, p: 1, a: 2, s: 2}? 1/21 Four letters picked without replacement from {g: 2, b: 3, e: 2, j: 1, a: 6}. Give prob of picking 1 a, 1 j, and 2 b. 18/1001 Calculate prob of picking 1 v, 1 c, and 1 f when three letters picked without replacement from iicczizzifcvficiif. 1/68 Two letters picked without replacement from {a: 5, t: 2, v: 4, x: 4}. What is prob of picking 2 x? 2/35 What is prob of picking 1 i and 1 u when two letters picked without replacement from {t: 1, i: 1, u: 1}? 1/3 Two letters picked without replacement from {q: 2, t: 4, j: 6}. Give prob of picking 2 j. 5/22 Two letters picked without replacement from xooooxxooooooooo. Give prob of picking 1 o and 1 x. 13/40 What is prob of picking 4 z when four letters picked without replacement from zzppzpppzzzpz? 7/143 Four letters picked without replacement from upnupunpkudpukun. Give prob of picking 1 p, 1 u, and 2 k. 6/455 Three letters picked without replacement from ttltttttttttty. What is prob of picking 1 y, 1 l, and 1 t? 3/91 Three letters picked without replacement from {v: 6}. Give prob of picking 3 v. 1 What is prob of picking 2 z when two letters picked without replacement from {r: 11, z: 4, o: 4}? 2/57 Calculate prob of picking 2 s and 1 j when three letters picked without replacement from qjvavsjsssjmasqsj. 3/34 What is prob of picking 1 b and 1 q when two letters picked without replacement from {b: 1, d: 1, t: 1, q: 2}? 1/5 Two letters picked without replacement from {o: 5, a: 2, f: 2, t: 2, n: 5, p: 1}. Give prob of picking 1 t and 1 o. 5/68 Two letters picked without replacement from ttptpxppxxptrupppppt. Give prob of picking 2 x. 3/190 What is prob of picking 2 j and 2 u when four letters picked without replacement from uujjuujuju? 3/7 Three letters picked without replacement from nnwnwnnnnnnnnnnwnnnn. Give prob of picking 3 n. 34/57 What is prob of picking 1 a, 1 t, and 1 w when three letters picked without replacement from awawnwnntwaaj? 8/143 Calculate prob of picking 1 y and 3 j when four
{ "pile_set_name": "DM Mathematics" }
u**5. Does 2 divide l(12)? True Is 287 + (-7)/(84/(-20))*-3 a multiple of 29? False Suppose 2*q - p = 824, -3*q + 0*p - 3*p = -1254. Suppose 4*c - q = c. Suppose 0 = -0*m + 3*m - c. Is m a multiple of 14? False Suppose y = 2*g - 1532, -g - 2*y + 892 = 136. Does 5 divide g? False Let k(l) be the first derivative of l**5/12 - l**4/8 + l**3/3 - 4*l**2 + 6. Let w(r) be the second derivative of k(r). Is w(-3) a multiple of 19? False Suppose 4*p + 4*j + 28 = 0, -4*j - 3 - 1 = p. Is 2 a factor of 1/p + (-10)/32*-26? True Suppose -5*a + 0*l = -5*l - 1150, 0 = -5*a - 2*l + 1115. Does 9 divide a? True Let b(q) = q**3 - 8*q**2 + 2*q - 11. Let z be b(8). Suppose -44 = -z*g + g. Is 4 a factor of g? False Let k(v) = v**3 - 21*v**2 + 22*v - 7. Let g be k(20). Suppose 3*q = 4*q - 3*m - 14, 4*m + 27 = 3*q. Suppose g = -q*w + 288. Is w a multiple of 17? True Suppose 0*z + 2*z = 0. Suppose z = b - 132 - 59. Let c = b + -123. Is c a multiple of 19? False Let k(j) = -4*j**3 - 9*j**2 - 20*j - 59. Is k(-8) a multiple of 13? True Let s = 615 - -400. Is s a multiple of 7? True Let z(u) = -u**2 - 7*u - 4. Let j be z(-6). Suppose -4*s + 2 + 0 = -5*d, j*s - 5*d - 6 = 0. Is 14 a factor of (19/s)/(6/(-12))? False Let d = -118 + 37. Let m = 21 - d. Does 17 divide m? True Let x(d) = -d**3 + 10*d**2 + 3*d - 6. Is 20 a factor of x(8)? False Let a be (-272)/(-72) - (-4)/18. Suppose 2*c + a = 5*k, 4*k + c + 2*c + 6 = 0. Let p(j) = -j**2 + 5. Is p(k) a multiple of 5? True Let s(f) = -f**3 + 5*f**2 + 3*f - 13. Let v be s(5). Is 5 a factor of v/((-6)/9) + 1 - -22? True Let w be (3 + (-3)/3)*1. Let n be (w + 2)*(-14 + 3). Let x = -13 - n. Is 10 a factor of x? False Let n(h) = -200*h + 726. Does 12 divide n(-7)? False Let v be -3*(5 + -3)/(-2). Suppose -k = v*l + 3 - 10, 0 = -k - 4*l + 5. Suppose -k - 82 = -5*r. Is r a multiple of 19? True Suppose 4*s = -5*g - 11 + 53, -2*g - s = -18. Does 4 divide g? False Suppose -1 = 3*a + 14, 5*y - 540 = -5*a. Let n = y - 25. Is 45 a factor of n? False Let y = 9 + -4. Let f be y/(-25) + (-9)/5. Does 4 divide (1/2)/(f/(-28))? False Is 477618/483 - (-1)/7 a multiple of 58? False Let z = -225 + 218. Suppose 307 = 5*t + w - 223, -4*t + 4*w = -400. Let d = t + z. Is 14 a factor of d? True Suppose 5*p - 15 = -5*i, p = 2*p - 1. Suppose i*j + j = 81. Let y = j - 16. Is 3 a factor of y? False Suppose 0 = -29*r + 6002 + 107446. Is r a multiple of 12? True Let w = -17 - -18. Is (4/(-4) + 20)*w a multiple of 19? True Is 18 a factor of 5 + ((-5488)/(-21) - (-2)/(-6))? False Let s(q) = 5*q**2 + 8*q + 5. Let j(f) = -f - 3. Let v be j(-5). Suppose -v = x, 3*t - 4*x = -3*x - 13. Is s(t) a multiple of 31? False Let a(y) = 3*y**3 + y**2 - 2*y + 6. Let f(q) = q**3 - q + 1. Let r(l) = -a(l) + 4*f(l). Let v be r(-3). Let h = v - -50. Is h a multiple of 5? False Let p(h) = 2*h**2 - 4*h + 18. Does 12 divide p(-9)? True Let i(n) = n**2 + 16*n + 6. Suppose -37 = 5*z + 18. Let a be i(z). Does 6 divide 2/7 - 1162/a? True Let o(j) = 4*j**2 + 56*j + 22. Does 3 divide o(-19)? True Suppose 1295 = 3*u + 3911. Let f = -590 - u. Does 47 divide f? True Suppose 0*w - 3*i - 5 = -4*w, -i - 5 = -2*w. Is (-1 - -13) + (w - 6) a multiple of 6? False Let u(y) = 5*y**2 + 2*y**3 - 5*y**2 - 4*y**2 + 2*y. Is u(3) a multiple of 6? True Suppose 3*v + 592 = 4*w, 740 = -4*w + 9*w + 2*v. Let q = w - 14. Is q a multiple of 15? False Let u = 395 + -687. Let g = -208 - u. Suppose -3*j + 0*j = -g. Is 19 a factor of j? False Let f = 13 + -9. Suppose -s = -0*s - f. Suppose s*g - 8*g + 48 = 0. Does 4 divide g? True Does 7 divide 2*(-269)/(-2) + 3? False Let t(w) = 70*w - 70. Is 58 a factor of t(5)? False Suppose 2*y - g + 1391 = 4*y, 0 = 5*g - 25. Suppose -2*l - 228 = -u, 3*u - 3*l = -0*l + y. Is 52 a factor of u? False Let w = 13 - 8. Suppose -w*j - 5*g + 865 = 0, g - 346 = -2*j - 0*g. Suppose -6*p + j = -127. Is 9 a factor of p? False Let a(u) = 9*u**2 + 5 - 3*u - 5 + 2*u. Let n be a(-1). Suppose -2*k = -10, 5*y - 3*y = 2*k + n. Is 3 a factor of y? False Suppose 0 = -2*n + 5 + 9. Let w = 50 - n. Is 11 a factor of w? False Suppose 0 = 4*s - 9*s + 2*l + 105, -2*l = 5*s - 125. Let f = s - 3. Does 15 divide f/36*3*27? True Suppose -78 - 30 = 3*f. Let k(h) = 2*h**2 + 3*h + 9. Let l be k(-6). Let i = l + f. Is i a multiple of 8? False Let k(j) = 8*j - 3. Let h be k(3). Let b = -3 - h. Is ((-33)/(-2))/((-9)/b) a multiple of 10? False Suppose -4*c - 15 = 3*f - 0, -4*c + 15 = -3*f. Let n(j) = c*j**2 + 3 - j**2 + 5*j + 2*j**2. Does 13 divide n(-7)? False Let r = 920 - 446. Is 79 a factor of r? True Suppose -4*q + 997 = 3*l + 47, -637 = -2*l + q. Suppose 0 = -5*x - 2*o + l, -317 = -x - 4*x - 3*o. Does 6 divide x? False Is 93576/49 - 8/(-28) a multiple of 43? False Suppose 12*h + 2525 = 17*h. Does 17 divide 4*(h/20 - 4)? True Suppose 926 = -2*a + 7918. Is 33 a factor of a? False Let o(j) = j**3 + j**2 + 37. Let x be o(0). Suppose 40*h - 21 = x*h. Is h a multiple of 2? False Let y be ((-104)/(-6) - 4)*(-6)/4. Is 11 a factor of (y/(-8))/(2/44)? True Let a(p) = p**3 + 3*p**2 - 22*p - 6. Let z be a(-6). Is 19 a factor of (-15575)/(-63) + -2 + 32/z? True Suppose 0*k - 3 = -3*k. Let i be k/(-6) + (-31)/(-6). Suppose -i*z + 76 - 1 = 0. Does 5 divide z? True Let q = 24 + 138. Does 54 divide q? True Is 10*7 - (-28)/7 a multiple of 2? True Let h(u) be the second derivative of 3*u**3/2 + 37*u**2/2 + 10*u. Let t(l) = 6*l + 25. Let f(s) = -5*h(s) + 7*t(s). Is 8 a factor of f(-6)? True Suppose -5*b + 8*b - 6*b = 0. Suppose 0 = 2*g - b*g - 54. Is 9 a factor of g? True Suppose -3*m = -i + 715, 2*i - 3*m - 177 = 1259. Is 7 a factor of i? True Let f(i) = -41*i - 1. Let n be f(-3). Let y(d) = 194*d**3 - 2*d**2 + 2*d - 1. Let g be y(1). Let o = g - n. Is o a multiple of 14? False Let q = 4003 + -645. Does 46 divide q? True Let a(m) = m**2 - 8*m - 77. Is a(21) a multiple of 49? True Let h(p) = -3*p - 18. Let a(u) = 2*u + 9. Let j(m) = -7*a(m) - 3*h(m). Let z be j(5). Let v = 64 + z. Does 7 divide v? False Let j(y) = 7*y + 14. Let c be j(12). Suppose -5*o - 882 = c. Is 11 a factor of o/(-8) + 2/(-4)? False Does 2 divide (-664)/(-16) - (-3)/6? True Let l(u) = 6*u**2 - 5*u - 11. Let k be l(-2). Suppose 29*j - k*j = 264. Is j a multiple of 6? False Let b(f) = 31*f - 3. Let o be b(-2). Let j = 69 - 170. Let y = o - j. Does 6 divide y? True Suppose 9*v - 1985 = 4927. Does 11 divide v? False Suppose -1259 - 127 = 6*h. Let g = 452 + h. Is 13 a factor of g? True Let k = 12 - 12. Suppose m + 0*m - 7 = k. Suppose 3*u - m - 29 = 0. Is 4 a factor of u? True Suppose 0 = 3*h + 6 + 9. Let c(z) = -z**3 - 5*z**2 - 9*z - 7. Let g be c(h). Let s = g - -22. Is s a multiple of 12? True Is 57 a factor of (5 + 81/18)*66? True Let m = 1 + 2. Suppose -v - 36 - 3 = -m*w, 47 = 4*w - 3*v. Does 5 divide w? False Let d(u) = -u**3 - 2*u**2 + 9*u - 4. Let g(i) = -i**3 - 11*i**2 + 3*i + 26. Let l be g(-11). Is d(l) a multiple of 13? False Let v be 4/3*21/14. Suppose -v*u + 4*c + 14 = 0, 0*c - 7 = -4*u + c. Is 6 a factor of (u + -2)*1 - -32? False Let a be 4/((-3 - -2)*1). Let w = 7 + a. Suppose -2*t + 16 + 18 = 3*v, w*v + 5*t - 49 = 0. Is v a multiple of 2? True Let g(f) = 5*f**2 + 65*f + 109. Is g(-22) a multiple of 23? False Let n(q) = -q**3 - 2*q**2 + 6*q - 4. Let s be n(-4). Suppose 2*p = -s*p + 144. Is p a multiple of 5? False Let y = 538 + 25. Let a = y - 1393. Does 23 divide a/(-9) + 40/(-180)? True Let c(a) = 9*a**3 + 3*a**2 - 6*a. Is c(3) a multiple of 21? True Suppose -4*s + 2 = -10. Suppose s*n = 15, -n + 13 = -3*w + 182. Is w a multiple of 35? False Suppose 5*t = -2 - 58. Is 13 a factor of (152/(-6))/(t/18)? False Suppose u = -3*t + 15 + 3, -66 = -3*u - 3*t. Is u a multiple of 4? True Let o(p) = p**2 - 12*p + 27. Let n = -11 + 25. Is o(n) a multiple of 11? True Suppose -r - r + 220 = 0. Let l(h) = -h + 2. Let j be l(-1). Suppose -j*k + 68 = 2*v, 0*k + 5*k + 5*v = r. Is 12 a factor of k? True Suppose -u = b, 4*b - 8*b = 0. Suppose 4*s - 215 - 105 = u. Is 14 a factor of s? False Let r(w) = -26*w + 32. Is r(-2) a multiple of 21? True Let i be 16/88 - 1446/(-33). Suppose v + i = 3*v. Is 7 a factor of v? False Suppose -3*w - 909 = -7*g + 4*g, -4*g - 2*w + 1224 = 0. Suppose g - 17 = 2*f. Is 16 a factor of f? True Suppose -8*k + 9*k = 15. Does 14 divide (-2 -
{ "pile_set_name": "DM Mathematics" }
Solve -298*h = -295*h + 12 for h. -4 Solve 30*l + 24 = -156 for l. -6 Solve 42*k = 39*k - 15 for k. -5 Solve 0 = -24*h + 17*h + 63 for h. 9 Solve 7 = -39*a + 163 for a. 4 Solve 277*v - 284*v + 28 = 0 for v. 4 Solve -4*y = -6*y for y. 0 Solve -2*x = -28 + 40 for x. -6 Solve -139*g + 140*g - 6 = 0 for g. 6 Solve -16*h - 306 = 35*h for h. -6 Solve 67*t + 35 = 60*t for t. -5 Solve -j + 2*j = 0 for j. 0 Solve 0 = 5*j - 16*j + 6*j for j. 0 Solve 35*v - 37*v - 2 = 0 for v. -1 Solve 4*s - 26*s = 0 for s. 0 Solve 0*j + 3*j = -0*j for j. 0 Solve 25*m = 84*m + 59 for m. -1 Solve -138*l + 167*l = 145 for l. 5 Solve -c - 8 = 3*c for c. -2 Solve -8*i = -4 + 12 for i. -1 Solve -45 = 617*h - 632*h for h. 3 Solve 48 = 18*a - 6 for a. 3 Solve 0 = 13*v - 4 - 9 for v. 1 Solve -34 = -26*j - 8 for j. 1 Solve 52*c - 42*c = 100 for c. 10 Solve 4*c + 114 = 122 for c. 2 Solve -36*p + 25*p = -22 for p. 2 Solve -77*s - 37 - 40 = 0 for s. -1 Solve -1045*u = -1052*u for u. 0 Solve -6*p + 2 = -7*p for p. -2 Solve -4 = 6*x - 10 for x. 1 Solve 4*p + 64 - 76 = 0 for p. 3 Solve -4 = -28*c + 26*c for c. 2 Solve 0 = -2*l + 95 - 87 for l. 4 Solve -68*l = -62*l + 12 for l. -2 Solve 0 = -139*v - 225 - 53 for v. -2 Solve -76*m + 18 = -85*m for m. -2 Solve 0 = -0*g + 5*g + 25 for g. -5 Solve -159 = -2*v - 151 for v. 4 Solve 26*x - 24*x - 8 = 0 for x. 4 Solve -6*q - 800 = 154*q for q. -5 Solve -209 = 7*o - 195 for o. -2 Solve -30*y + 49*y = 38 for y. 2 Solve 71 = 96*x - 217 for x. 3 Solve -8*z + 3*z = 20 for z. -4 Solve -19*i - 37 = 20 for i. -3 Solve 12*j - 19*j = 7 for j. -1 Solve -1517*b + 20 = -1515*b for b. 10 Solve 821*t + 21 = 828*t for t. 3 Solve 24 = -15*s + 3*s for s. -2 Solve -4 = -4*a - 0 for a. 1 Solve -18 = 9*m - 6*m for m. -6 Solve -341 = -8*k - 349 for k. -1 Solve 83 - 8 = -15*t for t. -5 Solve 25*b = 33*b + 24 for b. -3 Solve 0 = 2*q - 0*q + 2 for q. -1 Solve -4*h + 12 - 44 = 0 for h. -8 Solve 0 = -2*f + 10*f for f. 0 Solve -3*k - 15 = -24 for k. 3 Solve -17 = -8*n + 7 for n. 3 Solve 0 = -9*n + 5*n - 4 for n. -1 Solve -40*s + 336 = 44*s for s. 4 Solve 12*b = 8*b for b. 0 Solve 88*u = 82*u + 24 for u. 4 Solve 0 = 7*s + 4*s - 11 for s. 1 Solve 0 = 28*y - 23 + 247 for y. -8 Solve -7 = z - 2 for z. -5 Solve 0 = 13*t - 9 - 82 for t. 7 Solve -22*z - 26 = 18 for z. -2 Solve -8*h = -237 + 285 for h. -6 Solve 23*y + y = 144 for y. 6 Solve -296*j - 32 = -292*j for j. -8 Solve 6*a + 9 = -27 for a. -6 Solve -2*h = 14 - 0 for h. -7 Solve -63*v + 66*v - 12 = 0 for v. 4 Solve -373*n + 32 = -381*n for n. -4 Solve 5*p = -62 + 22 for p. -8 Solve 155*d + 620 = 31*d for d. -5 Solve 35*z + 94 = -116 for z. -6 Solve 18*h - 3 + 93 = 0 for h. -5 Solve 0*t - 4*t = 3*t for t. 0 Solve -300 = 16*u + 84*u for u. -3 Solve -544 = 115*r - 47*r for r. -8 Solve 3*b + 63 - 57 = 0 for b. -2 Solve 22*v - 142 = 12 for v. 7 Solve -96 = 59*s - 509 for s. 7 Solve -24*i + 23 + 49 = 0 for i. 3 Solve 16 - 26 = -2*p for p. 5 Solve 39 - 4 = -35*n for n. -1 Solve 43*q + 15 = 46*q for q. 5 Solve 5*d + 80 = -11*d for d. -5 Solve 98 = -39*r - 10*r for r. -2 Solve 18*z + 25*z = 301 for z. 7 Solve 8*m - 25 = 39 for m. 8 Solve -8 = 8*g - 0*g for g. -1 Solve -8*x = 2 + 6 for x. -1 Solve -80 = 84*v - 94*v for v. 8 Solve -30*z = -21*z + 18 for z. -2 Solve -x = 4*x - 25 for x. 5 Solve -12 = -8*l + 4 for l. 2 Solve 5 + 61 = -22*j for j. -3 Solve -8*g + 158 = 126 for g. 4 Solve -82*v = -77*v + 15 for v. -3 Solve -3*o - 6 = -o for o. -3 Solve 8*n - 48 + 16 = 0 for n. 4 Solve -47 = -41*v - 47 for v. 0 Solve 12*v + 132 - 120 = 0 for v. -1 Solve 22*b - 53 - 13 = 0 for b. 3 Solve -59 = -5*p - 44 for p. 3 Solve -i = 7*i - 32 for i. 4 Solve 10*p + 3*p = -0*p for p. 0 Solve 9*i - 21*i + 48 = 0 for i. 4 Solve 17*r - 16*r - 3 = 0 for r. 3 Solve -295 + 75 = 55*l for l. -4 Solve -4 = g - 5 for g. 1 Solve 2*g - 7*g - 25 = 0 for g. -5 Solve 0 = 18*p + 220 - 58 for p. -9 Solve 0 = 10*n + 3922 - 3872 for n. -5 Solve 5*f - 32 = -27*f for f. 1 Solve 6*l = 11*l for l. 0 Solve -2*z - 16 = 2*z for z. -4 Solve 83*s = 79*s - 4 for s. -1 Solve -4*v + 17 = 41 for v. -6 Solve -79 = -4*j - 67 for j. 3 Solve 0 = -7*w + 53 - 18 for w. 5 Solve 0*j = -j for j. 0 Solve 15*w + 10 = 13*w for w. -5 Solve 9*m = 110 - 74 for m. 4 Solve -4*h - h + 10 = 0 for h. 2 Solve 18*l - 46 - 26 = 0 for l. 4 Solve 0 = 114*i + 113 + 1 for i. -1 Solve -36 = -7*k + 13 for k. 7 Solve 131*q = 128*q - 9 for q. -3 Solve 3095 = -15*c + 3185 for c. 6 Solve 82 = 8*a + 154 for a. -9 Solve 0 = 24*j - 39 - 33 for j. 3 Solve -17*j + 11*j = 30 for j. -5 Solve 12*i + 40 = 20*i for i. 5 Solve -9 = -5*v - 4 for v. 1 Solve 32 = -5*u + 27 for u. -1 Solve 34*z = -37*z + 17*z for z. 0 Solve 3*w - 27 + 42 = 0 for w. -5 Solve 632 = -7*r + 590 for r. -6 Solve -w + 2*w = -3*w for w. 0 Solve 99*x - 101*x = 6 for x. -3 Solve -83 = 35*g + 22 for g. -3 Solve 0 = 10*q + 4 + 16 for q. -2 Solve -11*c = 78 - 34 for c. -4 Solve -10*r = -53 + 3 for r. 5 Solve 82*i - 271 = 303 for i. 7 Solve -14*l = -2*l - 60 for l. 5 Solve -2*z + 9 = -11*z for z. -1 Solve 9*c = 4*c for c. 0 Solve 0 = -5*u + 149 - 124 for u. 5 Solve -4 = -3*x + 5 for x. 3 Solve 10 + 46 = -14*b for b. -4 Solve 56 + 64 = 24*y for y. 5 Solve -27*d = -30*d for d. 0 Solve 0 = -5*a - 13 - 7 for a. -4 Solve 65 - 41 = -3*i for i. -8 Solve -9*b = -12*b + 10*b for b. 0 Solve -7*w = -19*w + 6*w for w. 0 Solve 15*r = 14*r + 3 for r. 3 Solve 17*j = 15*j - 8 for j. -4 Solve -27*f + 18*f - 63 = 0 for f. -7 Solve -82 + 72 = -2*g for g. 5 Solve -6*s - 201 = -195 for s. -1 Solve -30 - 15 = -9*g for g. 5 Solve -66*p - 6 = -65*p for p. -6 Solve -5*o + 12*o + 28 = 0 for o. -4 Solve 0 = 4*v - 3*v - 4 for v. 4 Solve -26*j + 22*j - 4 = 0 for j. -1 Solve 0 = 7335*w - 7326*w - 81 for w. 9 Solve 6*x - 5*x = -4 for x. -4 Solve -18*b + 78 = 240 for b. -9 Solve -35*p + 5*p = 90 for p. -3 Solve -561*n + 96 = -577*n for n. -6 Solve 71 = 21*u - 13 for u. 4 Solve 4 = -17*i - 13 for i. -1 Solve 13*s = s for s. 0 Solve -2*p - 1 = 1 for p. -1 Solve 41*s + 84 + 121 = 0 for s. -5 Solve 2*y = -4*y + 24 for y. 4 Solve -18*t = -20*t - 6 for t. -3 Solve -106 = 20*z - 186 for z. 4 Solve 53*n = 52*n - 3 for n. -3 Solve 0 = -3*v + v for v. 0 Solve -3 = -32*z + 157 for z. 5 Solve -u = 302 - 304 for u. 2 Solve 2*n + 2 + 4 = 0 for n. -3 Solve -9*d = -129 + 66 for d. 7 Solve -4*p + 4 = 4 for p. 0 Solve -33*i + 28 = -19*i for i. 2 Solve -19*r - 120 + 44 = 0 for r. -4 Solve 42*g = 80*g + 114 for g. -3 Solve 43 - 21 = -11*x for x. -2 Solve -6*f - 8 = -10*f for f. 2 Solve 3*s + 6*s = -2*s for s. 0 Solve -35 - 1 = -4*r for r. 9 Solve 54 = 800*j - 794*j for j. 9 Solve 0 = 82*x - 81*x + 3 for x. -3 Solve 51*g - 29*g - 176 = 0 for g. 8 Solve -6*d + 8 + 4 = 0 for d. 2 Solve 0 = -90*b + 38*b + 52 for b. 1 Solve -26*s + 38*s = 24 for s. 2 Solve -9 = -3*w - 24 for w. -5 Solve 619 - 685 = -11*u for u. 6 Solve 7*y - 11*y + 16 = 0 for y. 4 Solve 4*o - 8*o + 20 = 0 for o. 5 Solve -7*m = -46 + 53 for m. -1 Solve 3*y - 1892 = -1895 for y. -1 Solve -13*u = -54*u + 82 for u. 2 Solve 0 = -10*x + 60 - 10 for x. 5 Solve 0 = -24*r - 27 + 3 for r. -1 Solve 0 = -74*t + 105*t - 279 for t. 9 Solve -31*a + 34*a = -15 for a. -5 Solve -19*z + 20 = 1 for z. 1 Solve 11*g = -12 + 56 for g. 4 Solve 58 = -14*n - 40 for n. -7 Solve 730 = -6*f + 766 for f. 6 Solve 54 = 65*o - 119*o for o. -1 Solve 16*r + 470 = 63*r for r. 10 Solve -20 = 20*y + 20 for y. -2 Solve 7*r = 10 - 31 for r. -3 Solve -6*g - 34 + 64 = 0 for g. 5 Solve 0 = 1476*q - 1466*q - 40 for q. 4 Solve -10*g + 8 = -6*g for g. 2 Solve -461*v = -466*v - 25 for v. -5 Solve 11*l = -4 - 40 for l. -4 Solve 1382*z = 1365*z + 136 for z. 8 Solve 7*c + 106 - 64 = 0 for c. -6 Solve -10*g - 212 = 96*g for g. -2 Solve 0 = i - 6*i + 10 for i. 2 Solve -8 = 4*c - 0*c for c. -2 Solve 3*c + 6 = 5*c for c. 3 Solve 85*a = 78*a - 7 for a. -1 Solve 22 = 6*f + 4 for f. 3 Solve -10 = 30*d + 20 for d. -1 Solve 2*m + 10*m - 5*m = 0 for m. 0 Solve 3*f - 8 = -f for f. 2 Solve 0 = -17*b + 55*b + 228 for b. -6 Solve 336 = 71*v - 127*v for v. -6 Solve 8 - 5 = 3*f for f. 1 Solve -3*s = 27*s - 90 for s. 3 Solve -3*x + 33 = 27 for x. 2 Solve 38*b - 60*b = -31*b for b. 0 Solve 4*i = 16 - 4 for i. 3 Solve 0 = 62*g - 57*g + 20 for g. -4 Solve -202 + 34 = -42*i for i. 4 Solve -6*z = 19*z for z. 0 Solv
{ "pile_set_name": "DM Mathematics" }
nator of -7/300 and -139/247410? 2474100 What is the least common multiple of 7260 and 3751? 225060 Calculate the lowest common multiple of 15744 and 55104. 110208 Calculate the common denominator of 1/2166 and -35/6498. 6498 What is the common denominator of -46/225 and 91/211200? 633600 What is the lowest common multiple of 15906 and 3927? 1892814 What is the common denominator of -13/39710 and 123/55594? 277970 Calculate the lowest common multiple of 11752 and 10283. 82264 Find the common denominator of 35/6981 and -68/33. 76791 What is the lowest common multiple of 43310 and 8662? 43310 Calculate the common denominator of 34/92455 and -3/240383. 1201915 Calculate the common denominator of 101/6 and 117/34258. 102774 Calculate the least common multiple of 1386 and 6678. 73458 Calculate the least common multiple of 811512 and 143208. 2434536 Find the common denominator of 113/8272 and 87/50384. 554224 Find the common denominator of 115/1734 and 121/16184. 48552 Find the common denominator of 121/147876 and 61/36. 443628 Find the common denominator of -41/33804 and 31/40. 338040 What is the common denominator of -187/1092 and 41/9126? 127764 What is the common denominator of 5/178 and 163/96120? 96120 What is the common denominator of 41/8720 and -7/5232? 26160 Calculate the common denominator of 93/1036 and -65/6384. 236208 Calculate the least common multiple of 13889 and 4. 55556 What is the lowest common multiple of 30 and 41799? 417990 Find the common denominator of 18/137 and 47/14730. 2018010 Calculate the lowest common multiple of 31875 and 625. 31875 What is the least common multiple of 12 and 1489586? 8937516 What is the smallest common multiple of 66 and 114585? 2520870 What is the common denominator of -131/107076 and 43/124922? 749532 Calculate the common denominator of -18/7 and -101/95714. 669998 What is the lowest common multiple of 522 and 342? 9918 What is the common denominator of 27/112 and 55/1016? 14224 Calculate the common denominator of -99/21910 and -83/392. 613480 What is the lowest common multiple of 26549 and 6? 159294 Find the common denominator of 11/6517 and 16/92169. 645183 Calculate the least common multiple of 9264 and 3712. 2149248 Calculate the least common multiple of 624 and 936. 1872 What is the common denominator of -8/15 and -51/1433180? 4299540 Calculate the least common multiple of 6265 and 70. 12530 What is the smallest common multiple of 8030 and 504430? 5548730 What is the common denominator of -43/23528 and -21/1198? 14093272 Calculate the common denominator of -97/234 and -38/14469. 86814 Calculate the least common multiple of 104049 and 141. 4890303 Calculate the lowest common multiple of 324954 and 433272. 1299816 Calculate the common denominator of 23/346 and -55/1678. 290294 Calculate the common denominator of 43/12065 and 13/8890. 168910 What is the common denominator of -109/158906 and -45/434? 1112342 Calculate the common denominator of -113/18810 and 137/396. 37620 What is the least common multiple of 306 and 3757? 67626 Find the common denominator of 25/362 and 55/42. 7602 What is the smallest common multiple of 1323 and 3894? 1717254 Calculate the common denominator of -83/44750 and -67/948700. 4743500 Calculate the common denominator of -107/16170 and 113/50820. 355740 Calculate the common denominator of 41/2008774 and -91/8. 8035096 What is the smallest common multiple of 15642 and 126? 109494 Calculate the lowest common multiple of 83030 and 25346. 2407870 What is the common denominator of -45/334 and -21/248? 41416 Find the common denominator of -137/31428 and -64/149283. 597132 Find the common denominator of 97/176022 and 115/462. 176022 Calculate the smallest common multiple of 71738 and 4. 143476 Find the common denominator of 73/72 and -143/1338. 16056 What is the smallest common multiple of 72 and 4616? 41544 Calculate the common denominator of -11/8 and 23/757282. 3029128 What is the lowest common multiple of 640254 and 112986? 1920762 What is the common denominator of -11/1611 and -25/2979? 533241 What is the smallest common multiple of 1538 and 1078? 828982 Calculate the common denominator of 89/6936 and -139/5916. 201144 Find the common denominator of -41/995 and 43/6. 5970 What is the lowest common multiple of 19367 and 1086? 116202 What is the common denominator of 103/370 and 37/12450? 460650 What is the least common multiple of 582 and 29488? 88464 Find the common denominator of -33/2180 and -103/34444. 172220 What is the common denominator of 33/94060 and 53/18812? 94060 What is the least common multiple of 15596 and 490160? 3431120 Calculate the lowest common multiple of 9124 and 2020. 4607620 Find the common denominator of 117/10 and 13/1195080. 1195080 Find the common denominator of -31/74736 and 101/16. 74736 Calculate the common denominator of -113/3534 and 82/465. 17670 What is the lowest common multiple of 18 and 1100? 9900 Calculate the smallest common multiple of 23506 and 137678. 963746 Find the common denominator of -19/542205 and -61/33. 5964255 Calculate the common denominator of -53/334355 and 123/50. 3343550 Find the common denominator of 109/28158 and -17/14079. 28158 Calculate the common denominator of 69/12062 and -31/97963. 7249262 Calculate the least common multiple of 22875 and 38125. 114375 Calculate the smallest common multiple of 341979 and 44. 1367916 What is the lowest common multiple of 928224 and 464112? 928224 Find the common denominator of -103/2297028 and 29/45712. 9188112 What is the lowest common multiple of 3483 and 501? 581661 Calculate the common denominator of 1/49408 and 61/3474. 444672 Calculate the common denominator of -64/89493 and -85/6. 178986 What is the common denominator of 1/5805 and 119/2472? 4783320 Calculate the smallest common multiple of 3660 and 144. 43920 What is the lowest common multiple of 495102 and 742653? 1485306 Calculate the least common multiple of 61760 and 37056. 185280 What is the common denominator of 93/20900 and 109/50? 20900 What is the common denominator of 65/16476 and 117/28? 115332 What is the smallest common multiple of 4956 and 8496? 59472 Calculate the common denominator of -95/2494 and -79/2030. 87290 Calculate the common denominator of -8/85 and 40/707. 60095 Calculate the common denominator of 55/8094374 and 33/16. 64754992 Calculate the least common multiple of 36540 and 1044. 36540 What is the common denominator of -47/6 and 31/187679? 1126074 What is the common denominator of -113/14 and 101/16434? 115038 What is the smallest common multiple of 132411 and 11799? 1191699 Calculate the lowest common multiple of 515504 and 3232. 1031008 Calculate the common denominator of 67/504 and -73/8631. 69048 What is the common denominator of 19/47255 and -17/66157? 330785 What is the common denominator of 31/2 and -79/5122? 5122 Find the common denominator of -11/724 and -149/13032. 13032 What is the lowest common multiple of 10 and 1753258? 8766290 Find the common denominator of -23/2 and 49/368882. 368882 Find the common denominator of -11/33138 and -71/36820. 331380 Calculate the smallest common multiple of 479428 and 32. 3835424 Find the common denominator of -181/1110 and 149/3330. 3330 What is the smallest common multiple of 333 and 59533? 535797 What is the common denominator of 38/1102923 and 89/90? 11029230 Calculate the smallest common multiple of 25 and 12550. 12550 Calculate the least common multiple of 1278 and 426. 1278 Find the common denominator of 27/40964 and -59/190. 204820 Calculate the common denominator of 175/43758 and -19/3861. 131274 Find the common denominator of -107/137544 and -103/54. 1237896 Calculate the lowest common multiple of 6 and 29054. 87162 What is the common denominator of -53/29711 and -11/657? 267399 Calculate the common denominator of -115/17766 and -43/532980. 532980 Find the common denominator of -33/17 and -38/86173. 86173 Calculate the common denominator of -47/4692 and -81/317492. 952476 Calculate the common denominator of 139/23760 and 89/30888. 308880 Find the common denominator of 37/393312 and -103/34704. 1179936 Calculate the least common multiple of 936 and 6396. 38376 Find the common denominator of 25/138 and 89/54. 1242 What is the least c
{ "pile_set_name": "DM Mathematics" }
What is the greatest common divisor of 90 and y? 18 Let t(l) = -5*l**3 - l**2 - l - 1. Let z be t(-1). What is the highest common divisor of 36 and z? 4 Suppose -4*a + 4*z + 168 = 0, -46 = -2*a + a + 3*z. What is the highest common factor of a and 8? 8 Let a(b) = 2*b**3 + 3*b - 4. Let t be a(3). Let s = t - -22. Calculate the highest common divisor of s and 9. 9 Let p(o) = -o. Let w(d) = -2*d. Let s(k) = 6*p(k) - 2*w(k). Let v be s(-2). Let q be v/(-14) - (-58)/7. Calculate the highest common factor of 16 and q. 8 Let i = -51 - -100. What is the greatest common factor of i and 539? 49 Suppose -21*p + 13*p = -1672. Let h(j) be the first derivative of j**3/3 - j**2/2 - j - 1. Let a be h(-4). Calculate the greatest common factor of p and a. 19 Let j = 44 + -37. What is the greatest common factor of 224 and j? 7 Suppose s - 4*s + 36 = 0. Calculate the highest common factor of s and 6. 6 Let r be 7 + (1 - 2/(-1)). Suppose r - 76 = -2*l. Let o = 45 + -23. Calculate the highest common factor of o and l. 11 Let b be -2 + 1 + (1 - 0). Let v = -21 - b. Let d be (-384)/v + 4/(-14). What is the highest common divisor of 27 and d? 9 Let h be 9 - 0 - (-7)/((-35)/(-15)). Calculate the highest common divisor of 12 and h. 12 Let c(w) = w - 1. Let k be c(7). Suppose -k + 0 = -s. Suppose 3*q + 5*z - s = 0, 3*q - 36 = 4*z + z. What is the greatest common divisor of 49 and q? 7 Suppose d - 39 = -3*v + 196, 3*d = -15. Calculate the highest common factor of 8 and v. 8 Let s = -33 + 57. Let m be (0 - 324)/(15/(-10)). What is the highest common factor of s and m? 24 Let j(i) = i + 13. Let p be j(-12). Let t(a) = -6*a - 1. Let q be t(2). Let k = p - q. Calculate the highest common factor of 35 and k. 7 Let t be (27 - 1) + 4*-1. Let f be (0 - 1)*-55*1. Calculate the highest common divisor of t and f. 11 Let p(l) = 2*l - 9. Let a be (14/6)/((-2)/(-6)). Let y be p(a). Suppose f = 3*f - 50. What is the highest common factor of y and f? 5 Suppose 3*x - 4*x + 2 = 0. Suppose v = -f - x*f + 9, -5*f = 0. Suppose 3*z + 18 = 5*z. What is the greatest common factor of v and z? 9 Let h(a) be the second derivative of a**5/20 - 5*a**3/6 - a**2 - a. Let m be h(4). Let v = 226 + -205. Calculate the greatest common factor of m and v. 21 Let f = 59 + -51. Let o(a) = a**3 - a + 1. Let t be o(1). What is the highest common divisor of f and t? 1 Suppose -3*l - 2*j + 2 = 0, j = 5*l - 1 - 24. Suppose 3*q - l = 2*q. Let h be ((-8)/(-10))/(q/80). Calculate the greatest common factor of 16 and h. 16 Suppose 5*m = 3*u - 8 + 25, 2*u - 5*m = -18. Let x(f) = 0*f - f + 4 - 2. Let t be x(1). Calculate the greatest common divisor of t and u. 1 Let r be ((-9)/6)/((-3)/(-4)). Let c be -18*2*r/12. Let n = 71 + -17. Calculate the greatest common factor of c and n. 6 Let k be ((-8)/10)/(3/15). Let d be (-2)/k*-2 - -15. Suppose x + 50 = 2*x + 2*r, 0 = 3*x + 4*r - 156. Calculate the greatest common divisor of x and d. 14 Suppose 2*m - 2*h = -160, -136 = 2*m + 4*h - 0*h. Let j be (-2)/8 - m/(-16). Let g = j - -10. What is the highest common divisor of 20 and g? 5 Let w be (-373)/(-5) - (-4)/10. Let y(f) = 2*f + 9. Let c be y(3). What is the highest common factor of c and w? 15 Suppose 3*z = 2*z + 3. Suppose 0 = -z*g + 4*g - 5. Suppose -4*y + 11 + g = 0. Calculate the highest common factor of y and 12. 4 Suppose -4*w = 2*g - 72, -18 = -w + 5*g - g. Let k be 1/4 + 26/(-8). Let y(c) = 2*c**2 + 3*c + 3. Let l be y(k). What is the greatest common factor of l and w? 6 Let r = 4 - -3. Suppose 2*w + 0*w - 14 = 0. What is the highest common divisor of r and w? 7 Suppose 0 = 3*v - 0*v. Suppose v*p + 2*p = 8. Suppose y - p*y = -135. Calculate the greatest common factor of 9 and y. 9 Let y be (-1)/(((-3)/54)/1). Suppose 2*m + y = 6. Let q be -3*(m + -1)/1. What is the highest common factor of q and 3? 3 Let h = 25 + -28. Let o be ((-12)/h)/(-4) - -2. What is the highest common factor of 11 and o? 1 Let c(g) = -g**3 + 3*g - 2. Let r be c(-3). Suppose 0*h = 4*h - r. Calculate the highest common factor of h and 2. 2 Let o be (-194)/(-8) - (-3)/(-12). Suppose -4*y = t - 0*t - 27, 0 = -5*y + 2*t + 24. Calculate the greatest common factor of o and y. 6 Let m = 6 + 4. Let x(z) = -11*z + 1. Let f be x(1). Let r be (-898)/f + (-6)/(-30). What is the highest common factor of r and m? 10 Let p = 17 - 15. Let y be 21 - (p - 2)/(-4). What is the greatest common divisor of 21 and y? 21 Suppose -s + 15 = o, 4*o - 29 = -9. Suppose -12 = -2*m - 2*y - 2*y, -m + s = 4*y. Suppose -24 = -0*q - m*q. Calculate the highest common factor of 132 and q. 12 Let a = -71 + 255. Let o = -124 + a. Calculate the highest common divisor of o and 24. 12 Let g = -4 + 7. Suppose 3*p - 9 = 2*t, -p + 0*t + g = 4*t. Let h be 2 - (-3 + 2 + -21). What is the greatest common divisor of h and p? 3 Let a(d) = -d**2 - 8*d - 8. Let h be a(-6). Suppose -h*b = -30 - 150. What is the highest common divisor of b and 18? 9 Let s = -71 + 167. What is the highest common factor of 12 and s? 12 Suppose 34 = -3*s + 175. Calculate the greatest common factor of s and 329. 47 Suppose -4*h + 5*k = -0 - 5, -k = -4*h + 17. Suppose -h*w = -12 - 18. Suppose g - 264 = -3*g. Calculate the highest common divisor of g and w. 6 Suppose -4*z + 0*z = 0. Suppose -3*r + 5*w = 2*r - 15, z = 2*w - 4. Calculate the highest common factor of 2 and r. 1 Let c = 242 + -74. Calculate the greatest common factor of c and 24. 24 Suppose 0 = -f - 2*x + 10 + 12, 5*x - 91 = -4*f. Calculate the greatest common divisor of 48 and f. 24 Let y(g) = -g**3 + 16*g**2 + 20*g - 25. Let z be y(17). Calculate the highest common divisor of z and 234. 26 Let a = -21 - -102. Let f be (-18 - (1 + -1))*(-22)/44. What is the highest common divisor of a and f? 9 Let r = -33 - -53. Let y = r + -8. Suppose 2*p = 222 - 30. What is the greatest common divisor of y and p? 12 Let z(s) = s**3 + 5*s**2 - 7*s - 6. Let v be z(-6). Let k be -1*(-15 - v/(-3)). Calculate the highest common divisor of k and 60. 15 Let m(j) = 2*j**2 - 7*j - 9. Let p be m(8). Suppose -u = -4*q + 4*u + p, 3*q - 55 = -4*u. Calculate the highest common factor of q and 17. 17 Let x(y) = 23*y**2 - y. Let i be x(1). Suppose 6*t = 4*t + 484. Calculate the greatest common divisor of i and t. 22 Suppose -12*o + 11*o = -2*m + 223, m - 5*o - 89 = 0. Calculate the highest common factor of 171 and m. 57 Suppose -38 = u - 3*u. Calculate the greatest common divisor of 304 and u. 19 Suppose 0 = -3*z - 4 + 1. Let a be (4/(8/(-10)))/z. Calculate the highest common divisor of 35 and a. 5 Let w(f) be the second derivative of -f**4/12 + f**2 - f. Let k be w(2). Let v be (k - 1)/(5/(-180)). What is the highest common divisor of 12 and v? 12 Let s be ((-2)/6)/(2/(-12)). Suppose s = z - 30. Let b = 8 + 8. Calculate the highest common factor of z and b. 16 Suppose -3*v + 356 = -5*k + 938, 5*k + 5*v - 590 = 0. What is the greatest common divisor of k and 13? 13 Suppose -32 = -2*c + 8. Suppose -5*m + 24 = -4*t, m - c = 2*t - 5*t. What is the highest common divisor of 24 and m? 8 Let q(k) = 99*k**3 - 2*k**2 + 2*k - 1. Let s be 3/2 + (-2)/4. Let v(c) = 2*c - 1. Let r be v(s). Let j be q(r). Calculate the highest common factor of j and 14. 14 Suppose 24 = 3*h + d + 10, -4*d - 14 = -2*h. Suppose -l + 0*n = -4*n + 24, -l = h*n - 3. Let k = l - -20. Calculate the greatest common factor of k and 4. 4 Let p = 7 - -1. Suppose -2*d = d - v - 92, -4*d = -3*v - 116. What is the greatest common factor of p and d? 8 Suppose c - 2*c = -19. Let x = 95 + c. Let m = 43 - 24. What is the greatest common factor of m and x? 19 Let y be (58/8)/(3 + 22/(-8)). Calculate the highest common factor of 116 and y. 29 Let f be 3*(-3 + 76/12). Let z be (-150)/4*4/(-3). What is the highest common divisor of f and z? 10 Suppose -4*x - 4*b - 4 = 0, x + 3 + 0 = -3*b. Suppose q - 2 + x = 0. Suppose 6*s - q*s - 264 = 0. Calculate the highest common divisor of 6 and s. 6 Let v be 2 + 7/(0 + 1). Calculate the highest common divisor of 27 and v. 9 Suppose 17*z - 22*z = -50. What is the greatest common factor of z and 110? 10 Suppose -13 = -2*g - 3. Suppose 0 = -i - i - g*n - 3, 2 = -2*n. Let q be i - (0 + -2) - -6. What is the greatest common factor of 81 and q? 9 Let m be 5 + -3 + -1 - -19. Let f = 34 - m. What is the
{ "pile_set_name": "DM Mathematics" }
28. Give j(i). 20 Let m(r) be the third derivative of r**4/24 - r**3 + 40*r**2. Calculate m(8). 2 Let r(i) be the first derivative of i**4/4 + 13*i**3/3 - 8*i**2 - 21*i - 1868. Determine r(-14). 7 Suppose 259*m - 291*m + 160 = 0. Let l(u) = -u**3 + 4*u**2 + 2*u + 21. Give l(m). 6 Let f be 4/(-14) + 636/21. Suppose 4*c - f = c. Let u be c/3*(-48)/40. Let h(x) = x**3 + 4*x**2 + x - 4. Give h(u). -8 Let q(p) be the third derivative of -2*p**5/15 + p**3/6 - 21*p**2 - 15*p. What is q(-2)? -31 Let h(y) = 9 - 4 - 5 - 4*y. Let g(q) = 6*q - 11*q + q**2 + 22 + 17*q. Let r be g(-10). Calculate h(r). -8 Let f(j) be the third derivative of j**5/60 + 19*j**4/24 + 16*j**3/3 + 499*j**2 - 4*j. Calculate f(-13). -46 Let g(o) be the third derivative of -o**6/40 + o**4/24 - o**3/3 - 6*o**2 + 38*o - 3. Determine g(-2). 20 Let w(r) = -r**2 - 16*r + 4. Let a be w(-16). Suppose 3*z - a = -2*l + 5, 0 = l - 3*z - 9. Suppose -56*k - l = -59*k. Let u(h) = h - 1. Calculate u(k). 1 Let r(p) = 17*p**2 - 16*p**2 + 21514 + 14*p - 21508 - p. Determine r(-10). -24 Let y = -9 + 4. Suppose 12*f - 11*f - 3 = 0. Let b(o) = 24*o**2 - 8*o**2 - 3 + o**f - 11*o**2. Calculate b(y). -3 Let h = 14 + -8. Let x(i) be the third derivative of -i**6/120 + i**5/10 + i**4/24 - 5*i**3/3 + i**2 - 3790*i - 3. Determine x(h). -4 Let m(q) = 6*q**2 - 662*q - 3*q**2 - 2 - q**2 + 658*q. Calculate m(5). 28 Let o(l) be the third derivative of -1/24*l**4 + 0 - 158*l**2 - 7/6*l**3 + 0*l. Determine o(-5). -2 Let f = -308 + 308. Let o(l) = -1 + 10 - 7*l + f*l + l + l**2. Determine o(6). 9 Let c(t) = -8*t**3 + t**2 - t + 1. Let v be 20/6*3*(-5)/(-10). Let w(d) = -d**2 + 8*d - 14. Let y be w(v). Give c(y). -7 Let x(m) = -m**3 - 16*m**2 - 9*m + 65. Let v be x(-10). Let w = v + 439. Let k(g) = 3*g + 2. Calculate k(w). -16 Let k be (-50)/20*108/45. Let h(w) = -w**3 - 6*w**2 + 4*w + 6. Determine h(k). -18 Let c be 4/3*18/2 + 0. Suppose -5*f = f - c. Let p(h) = 6*h**2 + 4 - f*h + 0 - 3 - 2 + h**3. Calculate p(-6). 11 Suppose 5*c - 23 = -0*a + 2*a, 5*a = -20. Suppose 0 = -4*w + 5*v + 2, -c*w - v = 3*v + 14. Let u(z) = -313*z - z**2 + 311*z - z**2 + z**2. Determine u(w). 0 Let s(z) = -38*z**2 + 15*z**2 - 2 + 6*z - z**3 + 17*z**2. Let a(n) = -3*n - 52. Let i be a(-23). Suppose m + i - 10 = 0. Give s(m). 5 Let d = -225 + 230. Suppose 0 = d*x + 52 - 17. Let p(i) = i**3 + 6*i**2 - 10*i - 7. Determine p(x). 14 Let o(d) = 4*d + 19*d + 4*d - 11 - 28*d. Give o(-7). -4 Let z be 1/(-3) - (-4)/3. Let v be (7/(-252)*-12)/((-2)/(-30)). Let x(u) = 2 - v*u + z + 2 - 1. Calculate x(3). -11 Suppose -3*j + 2*g + 214 = g, j - 2*g = 68. Let n = j + -64. Let x(t) = 8*t - 5 + 2 - 3*t**2 + 2*t**2 + 0. What is x(n)? -3 Suppose -4*f - k + 56 = 0, 4*k = -5*f + 3*k + 71. Let j(t) = 7*t - 3. Let s(z) = -6*z + 5. Let n(c) = 5*j(c) + 6*s(c). Calculate n(f). 0 Let h(u) be the first derivative of -u**4/24 + u**3/6 - 20*u**2 + 87. Let w(s) be the second derivative of h(s). Give w(1). 0 Let y(r) = -r**2 + 5*r + 8. Let v be ((-4)/8)/((-1)/(-30)). Let w(s) be the second derivative of s**3/3 + 18*s**2 - 2*s. Let p be w(v). Give y(p). 2 Let d(k) = 65*k + 428. Let h(w) = 8*w + 3. Let x(q) = d(q) - 9*h(q). What is x(57)? 2 Let s = 265 - 265. Let b(z) be the third derivative of -z**6/120 - z**5/60 + z**4/24 - 8*z**3/3 + 27*z**2. Determine b(s). -16 Suppose 21 = 19*p + 2. Let u(r) = p + 327*r - 641*r + 316*r. Give u(-4). -7 Suppose 127*k = 125*k + 4. Suppose 0 = -4*w - y - 85, -3*w - k*y = 2*y + 67. Let j be (7/w)/((-1)/(-12)) + 5. Let h(l) = 9*l**3 + l**2 - 1. What is h(j)? 9 Let f(q) be the second derivative of 2*q**3 + q + 0 + 1/2*q**2. Let b(t) = -6915*t - 103726. Let u be b(-15). Determine f(u). -11 Let d(w) = 5*w + 13. Let m be (-2 - 11) + -25 + 32. What is d(m)? -17 Let b(y) = 2*y - 4. Let h = 13 + -10. Let f be (-966)/(-48) - 1/8. Suppose -g = h*g + f. Determine b(g). -14 Let l(x) = x**3 - 2*x**2 - 4*x - 5. Suppose 865*d - 860*d = 135. Suppose -c - d = 2*w - 30, 4*w = c + 21. What is l(w)? 11 Suppose 15 = 4*v + c, -3*v = -5*v - 7*c - 25. Let s(n) = 3*n - 22. Give s(v). -7 Suppose -46*f - 66*f - 448 = 0. Let b(z) = -z**3 + 4*z. Calculate b(f). 48 Let n(z) = z**3 - 101*z + 13. Suppose o + 26 = 3*j, 2*j + 5*o - 3*o = 28. Calculate n(j). 3 Let a(j) = 43*j - 89. Let h(t) = 2*t**2 - 75*t - 520. Let f be h(-6). Give a(f). -3 Let x(f) = 12*f**3 + 16*f**2 - 113*f - 82. Let q(k) = k**3 - k**2 + k - 7. Let l(a) = -11*q(a) + x(a). Give l(4). -5 Let h(j) = -j**3 + 5*j**2 + 13. Let f be h(5). Let k(a) = a**3 - 12*a**2 - 13*a + 3. Let m be k(f). Let n(o) = -o + 1 + 3*o - m*o + 0. Calculate n(-2). 3 Let o(s) be the third derivative of s**5/60 - s**4/6 + s**3/3 + 7*s**2 - 48*s. What is o(4)? 2 Let c(p) = -10*p**3 - 277*p**2 + 87*p + 85. Let n be c(-28). Let u(x) = 24*x - 20. Calculate u(n). 4 Suppose -68 = 4*x - 4*f, 18*x + 5*f - 3*f + 266 = 0. Let n(z) = z**3 + 14*z**2 - 16*z - 25. What is n(x)? -10 Let k(i) = i**2 - 8*i - 11. Let r(o) = -4*o**2 - 64*o - 104. Let q be r(-14). Determine k(q). -11 Let x = 0 + 5. Suppose x*w = -5*v, 0 = v - 0*v. Let l(f) = f + 6 - 2 - 9 + 8. What is l(w)? 3 Let f(w) = 9*w - 9*w**2 + 20*w**2 - 9 - 10*w**2. Let c be 1/(-3) - 1/((-24)/(-256)). Give f(c). 13 Let n(p) = -p**2 - 22*p + 22. Let c be (0 - 10) + (-56)/((-3192)/(-627)). What is n(c)? 43 Let h(n) = -n - 10. Let u(i) = 1. Let l = -177 + 181. Let y(v) = v**2 - 7*v - 7. Let m be y(8). Let r(s) = l*u(s) + m*h(s). Determine r(-9). 3 Let n(o) be the second derivative of 7*o**3/6 - 6*o**2 - 3*o + 493. Determine n(3). 9 Let p be -566*(36/8 + -5). Let y = -283 + p. Let i(l) = -l + 11. Give i(y). 11 Let o be (108/324)/(1/24). Let p(v) be the second derivative of -v**4/12 + 4*v**3/3 + v**2/2 - 31*v. What is p(o)? 1 Let f = 1/6952 - -3473/20856. Let b(i) be the second derivative of 1/3*i**4 - 1/10*i**5 - 1/2*i**2 - 32*i + 0 + f*i**3. Determine b(3). -16 Let y = -362 + 364. Let p be 2706/242 - y/11. Let g(h) = -h**2 + 9*h + 16. Give g(p). -6 Let r(p) be the first derivative of p**4/4 - 11*p**3/3 + 10*p**2 - 14*p - 812. Give r(9). 4 Let c(k) = 5*k**2 - 165*k - 10. Let h be c(33). Let q(t) = -t**2 - 7*t + 12. Calculate q(h). -18 Let l(r) = -r - 13. Suppose -8*w = 8*w - 4176. Let n = -271 + w. Give l(n). -3 Let n(w) = -7 - 135*w + 255*w - 121*w. Suppose 0 = -21*u - 219 - 12. Determine n(u). 4 Let s(u) = -3 - 74*u - u**2 + 45*u + 6 + 24. Let d be s(-30). Let o(q) = 4*q**2 - 2*q. Determine o(d). 42 Suppose -p = 4*i - 20, i - 35 = -3*p - p. Let o = 3 - p. Let f(k) = 117571*k + 0 - 1 - 352704*k + 117566*k + 117566*k. Give f(o). 4 Let t = -186 + 350. Let o = -172 + t. Let u(n) = n + 3. What is u(o)? -5 Let i be 30/35*126/36. Let b(u) be the second derivative of 1/12*u**4 + 0 + 7/6*u**i - u**2 + 2*u. What is b(-5)? -12 Suppose -10*t = -135 - 225. Let i be (-2)/9 - ((-296)/t + 1). Let u(s) = -2*s**2 + 22*s - 29*s + s**2 + 2*s**2 - 3. Give u(i). -3 Let b(r) = -5*r - 14. Let t be (-24)/72 + -3 + (-10)/(-3). Determine b(t). -14 Let m be 194/6*4 - 8/(-12). Suppose 0 = -5*p - 20, -5*z + 562 + m = 2*p. Suppose 0 = z*q - 143*q. Let c(k) = -k**3 + k - 8. Give c(q). -8 Let k(d) = -1184*d**2 + 38 + 2*d - 7*d + 23*d - 1185*d**2 + 2370*d**2. Give k(-16). 6 Let r(t) = t**3 - 12*t**2 - 46*t + 15. Let k be r(15). Let d(b) = -b**2 - 2*b + 5. Determine d(k). 5 Let z(p) = 8*p. Let a = -604 - -607. Suppose a*b + h = -12, 24 = -2*b - 3*b - 3*h. Give z(b). -24 Suppose -2*v - 176 = -20*v - 26*v. Let o(t) = -t**3 + 2*t**2 - 2*t + 4. Let z(f) = f**3 - 3*f**2 + 3*f - 4. Let s(a) = 3*o(a) + 4*z(a). Give s(v). -12 Let y(d) = 2*d - 44. Let q(g) = -7*g - 103. Let i(s) = q(s) - 3*y(s). Calculate i(4). -23 Let p(a) = -a**3 + 11*a - 4*a + 6*a**2 + 105 - 115. Let v = -93 - -64. Let q = -22 - v. What is p(q)? -10 Let a(s) = -1 - 9 - 5 + 15 + 9*s - 3. What is a(4)? 33 Let r(h) = -3*h - 1. Let b(o) = -5*o - 4. Suppose -4*g = -5*m + 2, -m + 3*m - 2*g = 2. Let j be b(m). Calculate r(j). -19 Suppose 43*h = 3690 - 3776. Let k(n) = 10*n + 9. Calculate k(h). -11 Let f(h) = 10*h**2 + 29*h - 2. Let v = -694 - -689. Let t(w) = -7*w**2 - 20*w + 2. Let o(x) = v*f(x) - 7*t(x). What is o(-3)? 2 Suppose -l = 2*j - 7, 0 = 3*j - 4*l + 21 - 15. Let n(i) = 53*i**2 + 45 - 37 - 52*i**j - 12*i. Determine n(10). -12 Let x be 12/(-576)*4 - 16370/(-24). Le
{ "pile_set_name": "DM Mathematics" }
pose 0 = q - 2*q + 7. Let o = q - 5. Let i(y) = y**3 - y + 2. Let t be i(0). Solve o = t*k - 2 for k. 2 Let z(i) = i**3 - 3*i**2 - 3*i + 2. Suppose -5*b + 9 = -2*b. Suppose -x - x + 12 = 5*y, -y - b*x = 8. Let q be z(y). Solve k + 1 = q for k. 5 Let u(f) = -f**3 - 4*f**2 + 5*f + 4. Let i be (-14)/(-7) - (0 - -7). Let b be u(i). Solve 0*t - 8 = -b*t for t. 2 Let g = -65 - -73. Solve 0 = -0*m + 2*m - g for m. 4 Let w(z) = -z**3 - z**2 + 2*z + 2. Let i be w(-2). Suppose 2*t = -i*t. Suppose 2*n + t = 12. Solve -d = d - n for d. 3 Suppose -20 + 8 = c - 3*y, -3*c - 26 = -4*y. Let i be (c/(-6))/((-1)/(-3)). Solve 6*u + 9 = i*u for u. -3 Let i be 10/6*(-9 - -12). Solve 8 = -i*b - 2 for b. -2 Suppose 0 = -5*m - 35 - 15. Let o = 5 - m. Solve -l + o = -4*l for l. -5 Let s(h) = h**3 + 2*h**2 - 2*h + 3. Let v be s(2). Solve 2*p + p = -v for p. -5 Suppose -b - 5*o = -0*b - 3, 3*o = 3*b - 9. Solve 0 = -b*x - 0*x for x. 0 Let y = 30 + -22. Solve -y = -3*w + 4 for w. 4 Let y(v) = -v**2 - 4*v. Let i be y(-4). Solve i = j - 0*j - 5 for j. 5 Let t(s) = 3*s**2 + 5*s + 2*s**2 + 3 - s**3 - 4*s. Let h(f) = -f**3 - 9*f**2 - 10*f - 11. Let c be h(-8). Let g be t(c). Solve -g = 6*i - 2*i for i. -2 Let a = -16 + 18. Solve a*h - 4 = -2*h for h. 1 Let r be -2*(-27)/24*(-16)/(-6). Solve 0 = -11*f + r*f - 15 for f. -3 Let c(u) = u**3 + 4*u**2 + 3*u + 4. Let h be c(-4). Let p(o) = -o**2 - 9*o - 4. Let g be p(h). Solve 2*t + 2 = -g for t. -3 Suppose 13 = 3*q - 2. Suppose -30 = q*x - 2*x. Let c be 1/(2/x*-1). Solve c = 3*i + 2 for i. 1 Suppose 5*j - 10 = -3*t + 5*t, -4*t = -4*j + 20. Solve n + n - 8 = j for n. 4 Suppose s + 3*u = 10, -2*s - s = -u - 10. Suppose c = -s*c. Solve 1 = -c*z - z for z. -1 Suppose 4*m - 2*x = 2, 4*x = -2*m - 0*m + 16. Suppose -30 = -m*w - 12. Suppose -a = 3*y - 0*y - 12, -4*y + a = -w. Solve -y*o + 4*o = 0 for o. 0 Let h = -12 + 27. Suppose -5*l + 10 = -h. Solve -7 - 13 = l*w for w. -4 Let g be (-6)/33 + (-2)/(-11). Solve g = -0*d - 5*d - 5 for d. -1 Let n = 21 - 5. Let r = 18 - n. Suppose 3*b - 3 = 3. Solve r*y - 4 = -b for y. 1 Let j be (40/(-32))/(1/16). Let m = j + 20. Solve m = -b - 2 - 1 for b. -3 Let g(s) = 3*s**3 + 2*s**2 - s. Let x be (-2)/9 + (-22)/(-18). Let p be g(x). Suppose 0 = p*b - 9*b + 10. Solve b - 17 = 5*r for r. -3 Suppose -2*b + 6 = 20. Let c = b + 13. Suppose 3*k + 45 = c*k. Solve -k = 4*w - 3 for w. -3 Let g = 5 + -7. Let p be 1/(-2)*8*g. Suppose 0 = -0*h + 4*h - p. Solve -i = h*i for i. 0 Let h(w) = -w - 11. Let i be h(-15). Solve i*u - 2 = 2 for u. 1 Let r be 138/30 + (-4)/(-10). Let c(n) = 2*n - 7. Let y be c(r). Solve 4*k = y - 19 for k. -4 Let a(f) = 6*f + 6 - f**2 + 2*f - 3*f. Let k be a(6). Solve 2*i + 3*i = k for i. 0 Let g(l) = l**2 + 6*l - 5. Let d be g(-7). Let k = 18 + -14. Let i = k - d. Solve 4*p + 2 = i*p for p. -1 Let k be 55/33 - 1/(-3). Suppose -3*y + 14 = 5*z, k*z + 14 = 4*z - 3*y. Solve -6*o + 6 = -z*o for o. 3 Suppose -12*d - 27 = -15*d. Solve -5*s - 16 = d for s. -5 Let o = 14 + -10. Suppose -3*a = -o*a + 3. Solve 0 = -0*u + a*u - 3 for u. 1 Let b = -2 - -14. Solve c = -3*c + b for c. 3 Let b = 21 - 18. Solve 4*s - 19 = -b for s. 4 Suppose 3*p = 4*f - 3 + 20, -2*p + 3*f = -10. Solve -14 = 5*u + p for u. -5 Suppose 2*r = 26 - 14. Solve r*c = 4*c + 2 for c. 1 Let k(b) = b**2 + 10*b - 5. Let v be k(-6). Let p = 62 + v. Suppose -i = -2*o - 11, -3*i - 3*o + p = -2*o. Solve i - 1 = -5*a for a. -2 Let k(v) = -v**3 + 2*v**2 + v + 1. Let n be k(2). Let q(o) = 2*o**2 - 4*o - 5. Let c be q(4). Let d be c + n*3/3. Solve 4*r = d + 2 for r. 4 Let x be (-5 + 6)*(18 + -2 + 3). Solve -x = 3*a - 7 for a. -4 Suppose 0 = -8*u + 4*u + 8. Solve -u*v = v for v. 0 Suppose 3*j = -j + 8. Suppose -j = -t - 1. Solve 0 = -w - t + 6 for w. 5 Suppose -2*a = -0*a - 4*u + 14, -a - u = -8. Suppose -4*d = a*o - 3*d, 0 = 5*o - d - 8. Solve -o = -k + 1 for k. 2 Let j be ((-12)/(-10))/(4/10). Suppose 10 = -j*h + 5*h. Let c be -5*(0 + (-3)/h). Solve -2*a = -c*a - 3 for a. -3 Let k be (1 - 0/1)*3. Let z = k - 1. Solve -2*h + 0*h - z = 0 for h. -1 Let i be (56/35)/(4/10). Solve 2*c = 6 + i for c. 5 Let g(f) = 3*f**2 + 7*f - 1. Let d be g(-3). Let a be -8 - (0/(-2) + -1). Let l = a - -12. Solve 0 = l*h - 20 - d for h. 5 Let m(g) = -g**2 + g + 2. Let q be m(0). Solve 10 = 4*v + q for v. 2 Let r = 154 - 150. Solve r*l - l = 0 for l. 0 Let i(g) = g**2 + g - 1. Let t(l) be the second derivative of l**5/20 + l**3/6 - 3*l. Let v be t(1). Let f be i(v). Solve f = w + 2 for w. 3 Let t be 4*(1/2)/1. Suppose a - 24 = -t*f, -2*a + f + 41 = -7. Suppose a = g + 3*g. Solve -b + g = 1 for b. 5 Suppose -2*m + 10 = 3*m. Suppose -m*k - 3 = -3*k. Let l = 26 + -7. Solve -l + 4 = -k*u for u. 5 Let v = 0 - -5. Suppose 0 = -3*y - 18 - 9. Let l be y*1*(1 - 2). Solve -24 = -v*f - l for f. 3 Suppose j - 8*j + 35 = 0. Solve j*r - 28 = -8 for r. 4 Suppose -j = p + 2*j - 4, 0 = -3*p - 2*j + 12. Solve 0 = p*t + 2 + 10 for t. -3 Let t(p) be the third derivative of p**6/120 - p**5/20 - p**4/12 + p**3/6 - 4*p**2. Let w be t(4). Solve -m + w = -4*m for m. -3 Let c = -39 + 43. Solve -c*y + 4 = -3*y for y. 4 Let s be -6*(8/(-12))/1. Solve -1 - s = -l for l. 5 Let i = 13 + -7. Solve 0 = d - i*d for d. 0 Suppose 0 = -12*i + 3*i. Solve 5*h - 5 - 5 = i for h. 2 Let b(l) = 2*l + 30. Let t be b(-13). Solve t*v + 0*v = 8 for v. 2 Suppose 8*a + 13 = 69. Solve -2*s - a = 3 for s. -5 Let h = -14 + 16. Solve -6*r + h*r = 0 for r. 0 Let h = -9 - -9. Suppose -25 = -p - 0*p. Solve -4*w - w + p = h for w. 5 Let k(m) = m**3 - 3*m**2 - 5*m + 3. Let a be k(4). Let t = a - -5. Suppose 2*v - 4*v = 0. Solve o - t = -v*o for o. 4 Let a(c) = -1 - 11*c + c**3 + 6 + 7*c**2 - 5. Let r be a(-8). Solve -4*g + 4 - r = 0 for g. -5 Suppose -20 = -7*r + 2*r. Suppose 0*x + x - r = -2*l, 4*x = -l + 2. Solve 5*y = -x*y for y. 0 Suppose -3*i = -6*i + 6. Solve 0*q + 4 = -i*q for q. -2 Let y be 2 + (0 - (-2 + 3)). Let b be (-2 + 1)/(1/1). Let k = y + b. Solve k = -2*q + 5 + 3 for q. 4 Let b = -36 - -14. Let i = b - -27. Solve -15 + 0 = -i*j for j. 3 Suppose 0 = -0*a + 6*a. Suppose 4*w + 3*b - 7 = -0*w, a = -2*w + 5*b + 23. Solve w*x = 13 - 1 for x. 3 Suppose 18 = 2*h - 0*h. Suppose 0*b - h = b. Let k = 3 - b. Solve 3*c + c = -k for c. -3 Suppose -4*v + 17 = -3. Solve 0 = -v*r + r for r. 0 Suppose -5*u + 13 + 57 = 0. Let s be (-1)/((-2)/22) + 0. Let t = s + u. Solve -3*z = 2*z - t for z. 5 Let k(z) = z**2 - 6*z + 2. Let h be k(6). Suppose h*j - 29 = 21. Suppose 2*b = 3*b - j. Solve 3*t = -2*t + b for t. 5 Let z = 6 + -5. Let u be ((-3 - -1) + -3)*z. Let k be (u/10)/(1/(-4)). Solve 0 = k*f - 7*f + 10 for f. 2 Let l be -1 - -1*1 - -2. Suppose -5*g - 5*s - 10 = -0*g, -s - 10 = -3*g. Suppose 0 = 5*r + 3*u - g - 7, 16 = 4*r - 2*u. Solve l*y = r*y + 3 for y. -3 Let y be (-2)/(-4) + (-148)/(-8). Let x(b) = 2 - b + y*b**3 + 0*b - 20*b**3 + 2*b**2. Let l be x(2). Solve l = r + 5 for r. -5 Let s be 0 + 0/2 - -3. Solve s = -z + 4*z for z. 1 Let f(v) be the second derivative of v**4/3 + v**3/6 + v**2/2 + 2*v. Let u be f(-1). Suppose 3*k = 7*k - u. Solve -4 = -3*r - k for r. 1 Let w be 27/(-4) + 3/4. Let v be (4/w)/((-4)/(-72)). Let n = v - -17. Solve 0 = n*b + 5 - 20 for b. 3 Suppose y - g - 1 = -3, 3*y - g + 2 = 0. Suppose y = -k, 3*k + 0*k + 55 = 5*f. Solve -9 = 4*h + f for h. -5 Let h = 15 - 18. Let y be (-12)/2*1/h. Solve -n - y = n for n. -1 Let g be 494/117 + 4/(-18). Let v(c) = c**2 + 7*c + 9. Let u be v(-7). Solve g*p - u = 11 for p. 5 Let a = 5 + -5. Suppose 6 = i - a. Solve 2*g = -0*g - i for g. -3 Let r be (-2)/4 - 2/(-4). Let p(f) = f + 3. Let q be p(-3). Suppose 0 = -4*w + 5*k + 1 - 8, -k = w - 5. Solve x + q - w = r for x. 2 Let i(g) be the first derivative of 1/3*g**3 + 1/4*g**4 + 0*g - g**2 + 2. Let n be i(-2). Solve -2*t + 4 + 0 = n for t. 2 Suppose -3*k + 13 + 8 = 0. Let j = k + -3. Solve j*v = v + 12 for v. 4 Suppose -5*k - 4*w + 58 = 0, 2*w = -3*k + 27 + 7. Solve 0 = 2*s - 4*s + k for s. 5 Let g be ((-8)/4 - -4)/(-2). Let b be 1 + (g + 3 - 0). Solve 3 = 3*d - b for d. 2 Let y(g) = 2*g - 4. Let z be y(-3). Let l be z/(-2) + 0/(-3). Let r(p) = -p + 5. Let d be r(l). Solve -f + d + 1 = 0 for f. 1 Let b(u) = -u**3 + 5*u**2 + 2*u - 6. Let p be b(5). Solve -4*f = p + 12 for f. -4 Suppose -14 = -2*j - a - 7, a = 3*
{ "pile_set_name": "DM Mathematics" }
e 9, what is 1245 + 86057? 87313 In base 8, what is 35 + -6077565? -6077530 In base 16, what is 0 + -11c50fb? -11c50fb In base 12, what is -5 + -84881? -84886 In base 13, what is -3200582 + 3? -320057c In base 7, what is -3045433502 - 3? -3045433505 In base 14, what is -1da + 33a4? 31a8 In base 3, what is 12102212 - -21220122? 111100111 In base 12, what is -2 + -730382b5? -730382b7 In base 6, what is -1300251 - -13? -1300234 In base 11, what is -830 + 27303? 26583 In base 3, what is -10202 - 12100101211000? -12100101221202 In base 14, what is -2 - -629b92? 629b90 In base 15, what is -b2a07e8 + 5? -b2a07e3 In base 4, what is 120333013332 + -103? 120333013223 In base 15, what is -6e29168 + -4? -6e2916c In base 10, what is -1800 - -180? -1620 In base 10, what is 33894 + -91? 33803 In base 6, what is -1555 + 135554? 133555 In base 3, what is 121 + 10012002111212001? 10012002111212122 In base 9, what is 5252 + -55162? -48810 In base 14, what is 2a707 - -8c2? 2b1c9 In base 8, what is -1 - 47413056? -47413057 In base 12, what is aa5573 + 96? aa5649 In base 10, what is -140659818 - -4? -140659814 In base 10, what is 56327344 - 3? 56327341 In base 15, what is 6643a + -4b? 663de In base 12, what is -2351 - -2052? -2bb In base 10, what is -3659153 - -96? -3659057 In base 2, what is 1 - 1000111101000110011100001? -1000111101000110011100000 In base 14, what is 8 + -15594b? -155943 In base 6, what is -14153 + 325122? 310525 In base 2, what is 11100111011 - 100101011101? -1000100010 In base 2, what is 11100001010100 - 1000100? 11100000010000 In base 7, what is 51 + -26526052? -26526001 In base 8, what is -11460700 - -1? -11460677 In base 8, what is -13 - -701264? 701251 In base 7, what is 2212541134 + -1? 2212541133 In base 11, what is 26 + -60a9a53? -60a9a28 In base 6, what is 5050410 - 201? 5050205 In base 16, what is -276792 - -9? -276789 In base 10, what is -5430 + -42261? -47691 In base 12, what is 31112 + 35? 31147 In base 11, what is -1473364 + -4? -1473368 In base 6, what is -135130 - 111111? -250241 In base 16, what is -4e9a34 + 0? -4e9a34 In base 7, what is 14504 - 50113? -32306 In base 8, what is -1673762 - -12? -1673750 In base 8, what is 2376511 - -2? 2376513 In base 2, what is 1101100000100111101100001001 + 101? 1101100000100111101100001110 In base 9, what is 103 + -245143? -245040 In base 15, what is -d - -52238a0? 5223892 In base 9, what is -302507 + -25? -302533 In base 12, what is 1a483042 + 0? 1a483042 In base 5, what is -24213010 + -4344? -24222404 In base 2, what is -11 + 10111001001001001001001? 10111001001001001000110 In base 2, what is -10010101001 - 11011100001? -101110001010 In base 5, what is 103 + -10002123? -10002020 In base 4, what is -1110202 + 2122? -1102020 In base 13, what is 8 + -585a21? -585a16 In base 10, what is 7595 + -1? 7594 In base 9, what is 3136634 - 75? 3136548 In base 5, what is 2134021 - 112434? 2021032 In base 11, what is -48a07 - -110? -488a7 In base 2, what is 0 - 10111110011100110011? -10111110011100110011 In base 8, what is -22134 + -112215? -134351 In base 7, what is 51165 + 43266? 124464 In base 6, what is 10131 - -321325? 331500 In base 9, what is 2 + 25683084? 25683086 In base 7, what is 3213 + 1151454? 1155000 In base 5, what is 112 + 24032041? 24032203 In base 10, what is -189768778 + 4? -189768774 In base 7, what is 104 - 40212? -40105 In base 7, what is 0 + -20600406? -20600406 In base 13, what is 4 - -2280c909? 2280c910 In base 15, what is 10 + -100bd7? -100bc7 In base 2, what is 1001000010 + -11101011111? -10100011101 In base 16, what is 118 + 11eb? 1303 In base 7, what is -1626320 - 303? -1626623 In base 15, what is -4 + -75e6? -75ea In base 11, what is 116105a3 - -8? 11610600 In base 15, what is 70508c2 + -4? 70508bd In base 16, what is -2c3e - -535? -2709 In base 11, what is -2407029 - -4? -2407025 In base 3, what is 21111210 + 121010? 22002220 In base 11, what is 136aa + -117a? 12530 In base 11, what is -58823 + 75? -58759 In base 11, what is 3a + -240509? -24047a In base 12, what is 33166 + 1ba6? 35150 In base 6, what is 2315551454 + 2? 2315551500 In base 16, what is -1f1b - 887? -27a2 In base 8, what is 16 + -5750364? -5750346 In base 4, what is -1221301102023 - 21? -1221301102110 In base 2, what is 10001001000111011001010011 - -100? 10001001000111011001010111 In base 16, what is 0 - -298a81e? 298a81e In base 15, what is 1 + d4ed9? d4eda In base 12, what is -172b + -1501? -3030 In base 12, what is -855903 - -4? -8558bb In base 13, what is 1 - -3215a96? 3215a97 In base 8, what is 22456606 + 46? 22456654 In base 8, what is 4147 - 1102604? -1076435 In base 10, what is 26 - 289842? -289816 In base 16, what is 1 + 4a11a0f? 4a11a10 In base 2, what is 11001100001000110001 - -10011? 11001100001001000100 In base 15, what is 30b7ba + -5? 30b7b5 In base 6, what is -2211531 + -544? -2212515 In base 9, what is -62103 - 2234? -64337 In base 16, what is 226a4 - -28d? 22931 In base 12, what is -4 + -586552? -586556 In base 16, what is dc9b - 15? dc86 In base 8, what is -2072 + -131232? -133324 In base 10, what is 1 - 51235458? -51235457 In base 7, what is -45 + -33300121? -33300166 In base 8, what is 604 - 13741100? -13740274 In base 9, what is -154614 + 145? -154458 In base 14, what is -ddb + -7d9? -17d6 In base 4, what is -31 + 12212001301? 12212001210 In base 13, what is -2ccb7c - 483? -300332 In base 11, what is -15 + -313a3? -31408 In base 3, what is -1000221100220 + -101? -1000221101021 In base 8, what is 1202672 - -4? 1202676 In base 14, what is 5d5b + -2ac? 5a8d In base 10, what is -14544 - -4404? -10140 In base 2, what is -110100 + -1110101100010011? -1110101101000111 In base 6, what is -122534202 - 223? -122534425 In base 5, what is -100442 + -2132103? -2233100 In base 13, what is 3c + 55772? 557b1 In base 11, what is 89 - 84a4? -8416 In base 11, what is -1177 + 13661? 12495 In base 13, what is 457342 + -9c? 457273 In base 3, what is -1100 + 10211012111? 10211011011 In base 3, what is 1011200 + 1020221210? 1022010110 In base 11, what is -180 - -3a543? 3a373 In base 9, what is -84475 + 1515? -82860 In base 12, what is 2508 + 17a1? 40a9 In base 16, what is 995 + 71? a06 In base 2, what is -10011010110110001111100 - -101? -10011010110110001110111 In base 4, what is -313 - -230301111? 230300132 In base 8, what is 32 + -264523? -264471 In base 13, what is -4 - -305a3b9? 305a3b5 In base 16, what is -ad01 - d? -ad0e In base 5, what is 1000221420332 - 3? 1000221420324 In base 13, what is 9 + -5cc850? -5cc844 In base 15, what is c8aeba + 0? c8aeba In base 16, what is 6de042 - 5? 6de03d In base 7, what is 10116261 - 142? 10116116 In base 11, what is -32123a + -1? -321240 In base 4, what is 110333233 + 2211? 111002110 In base 16, what is -1 - 116fbc? -116fbd In base 8, what is -5174 - 471553? -476747 In base 4, what is -2032000333001 + -2? -2032000333003 In base 2, what is -1010011001100100011010001001 - -1011? -1010011001100100011001111110 In base 5, what is -21 - 444043331? -444043402 In base 6, what is 1 - 4030542544? -4030542543 In base 14, what is 654429 - -5? 654430 In base 10, what is 92 - 1271387? -1271295 In base 7, what is 4 - -10342554131? 10342554135 In base 15, what is 3 + 36c9711? 36c9714 In base 12, what is -65732 + -20? -65752 In base 3, what is 20222012 + -12210021111? -12112022022 In base 9, what is -141086 - -472? -140514 In base 2, what is 101001101001011101 + -100111? 101001101000110110 In base 7, what is 2602550 - -323? 2603203 In base 6, what is -101045 + 1450? -55155 In base 7, what is 1 + -12031401? -12031400 In base 12, what is -4 + 7463219b? 74632197 In base 16, what is 214c88 - -7? 214c8f In base 13, what is 5689c28 + -18? 5689c10 In base 7, what is -3 - -1441600544? 1441600541 In base 2, what is -100101 - 1101101100000110011000? -1101101100000110111101 In base 7, what is -6 - 446351354? -446351363 In base 9, what is -34762805 + 0? -34762805 In base 2, what is 1 + -11000100101001111101111? -11000100101001111101110 In base 6, what is 11025 - 134142? -123113 In base 13, what is 0 + -10b395? -10b395 In base 4, what is -112021231 + -122? -112022013 In base 5, what is 2124310222 - -1? 2124310223 In base 5, what is 3110240 + 110301? 3221041 In base 16, what is -fca95 - -509? -fc58c
{ "pile_set_name": "DM Mathematics" }
rime factors of c? 2, 7 Let a = -6 - -11. Suppose 15 - 5 = 2*z - 4*y, -y + 14 = a*z. Suppose 5*q = z*q + 22. What are the prime factors of q? 11 What are the prime factors of (-1 + 0 - 2) + (45 - -10)? 2, 13 Suppose 2*a = -2*a + 92. List the prime factors of a. 23 Let o = -516 - -744. List the prime factors of o. 2, 3, 19 Let l be (2*-1)/(2/2). Let w be 3*(-1)/(-3) + l. List the prime factors of (-1)/w - -13 - 1. 13 Let h(r) = r**3 + 7*r**2 + 7*r. Let w be h(-5). Suppose 4*q + 3*t - 2 = w, 2*q - 41 = 5*t. List the prime factors of q. 2 Let t(c) = 3*c + 7. Let g(r) = 4*r + 8. Let q(x) = -4*g(x) + 5*t(x). Let h be q(0). Suppose h*p + 1 = 13. List the prime factors of p. 2 What are the prime factors of 261/15 - 6/15? 17 List the prime factors of (-1)/((-1)/23 + 0). 23 Let g(m) = m**2 + 7*m - 4. Suppose -2*v - u = 18, -52 = 5*v - u - 0*u. List the prime factors of g(v). 2, 13 Suppose s = 6*a - a + 54, -4*s - 3*a = -101. List the prime factors of s. 29 Let c(k) = 46*k**2 + 3*k + 11. What are the prime factors of c(-2)? 3, 7 Suppose 2*n - 145 = -3*n. What are the prime factors of n? 29 Let x = -1 - -60. List the prime factors of x. 59 Let g(v) = v**3 - 8*v + 32. What are the prime factors of g(4)? 2 Suppose -h = -3*h + d + 2, -3*d = h - 1. Let o = h - -1. Suppose -t + 5*q = -14, t - o*t + 10 = -q. List the prime factors of t. 3 What are the prime factors of 894/15 - ((-12)/15)/2? 2, 3, 5 Let j = 3 + -2. What are the prime factors of j/2*(2 + 8)? 5 Suppose 5*t - 3*l - 75 = 2*l, 0 = -5*l - 5. What are the prime factors of (12 + -7)/(2/t)? 5, 7 Suppose 8*u - 117 = 5*u. Let s = u + -19. What are the prime factors of s? 2, 5 Let h(j) be the first derivative of j**5/60 - 5*j**4/24 + 7*j**3/6 - j**2/2 - 1. Let b(d) be the second derivative of h(d). What are the prime factors of b(6)? 13 Let f(y) = y**2 + 6*y - 9. Let a be f(-7). Let c(j) = 4*j + j**2 - j**3 - j**3 + 2 + j**2. List the prime factors of c(a). 2, 3 What are the prime factors of ((-51)/6)/(1/(-2))? 17 Suppose -5*m - 5*v - 12 + 212 = 0, 5*m - 3*v = 240. What are the prime factors of m? 3, 5 Let p(m) = 10*m**3 - m. Let k be p(1). Suppose -5*c = 3*v - 15, 4*v + 0*v = 3*c - k. What are the prime factors of c? 3 Suppose -4*r + 1 = 9. Let m be (-54)/(-10) - r/(-5). Let i = 11 - m. What are the prime factors of i? 2, 3 Suppose 4*s - 4*j = 1268, -2*s + 2*j - 4*j + 646 = 0. List the prime factors of s. 2, 5 Let m = -16 - -28. Suppose 3*v + 3*a = 6, -4 - 1 = -2*v - 3*a. Suppose v = y - m. List the prime factors of y. 13 Let n(m) = 2*m - 1. Let s(l) = 1. Let q(b) = b**3 - 8*b**2 + 7*b - 4. Let g be q(7). Let u(v) = g*s(v) - n(v). What are the prime factors of u(-3)? 3 What are the prime factors of 2/(-3) - (-742)/6? 3, 41 Suppose -5*d = -182 - 58. List the prime factors of d. 2, 3 Let r be 2 + (-2 - -1)*0. What are the prime factors of (-40 + 1)/(-3) - r? 11 Suppose 0 = -r - 2*b + 15 + 32, 2*r = -b + 88. Suppose z - r = -2*x, -4*x + 66 = -x + 2*z. What are the prime factors of x? 2, 5 Suppose 0 = -5*o + 45 + 65. What are the prime factors of o? 2, 11 Suppose k - 135 = 2*t + 21, 5*k = t + 798. What are the prime factors of k? 2, 5 Let n(x) = -5*x**3 - 5*x**2 - 6*x - 7. What are the prime factors of n(-3)? 101 Let l(i) = 6*i**2 + 2*i. Let k be l(2). Suppose v - 3*v = -k. List the prime factors of v. 2, 7 Suppose 20 = -3*a - 2*a. Let h be ((-17)/a)/((-1)/4). Let m = -10 - h. List the prime factors of m. 7 Let v(d) be the second derivative of 3*d**5/5 - d**4/12 + d**3/3 - d**2/2 - d. List the prime factors of v(1). 2, 3 Let x = -130 + 226. What are the prime factors of x? 2, 3 Suppose 5*m - 5*c = 285, -3*m - 5*c + 29 = -110. List the prime factors of m. 53 Let d = 58 - 40. Suppose d*z = 14*z + 60. List the prime factors of z. 3, 5 Suppose 5*o - 286 = -2*j + 4*o, j - 5*o - 143 = 0. What are the prime factors of j? 11, 13 Suppose -2*j + 77 = -5*h, -3*j - 2*j = -5. Let y = h + 21. Suppose -24 = -y*t + 2*t. List the prime factors of t. 2, 3 Let w be 3 - (-1 - (1 + -1)). Suppose -k = 4*k, w*c = 5*k + 152. What are the prime factors of c? 2, 19 Suppose -173*k = -172*k - 205. List the prime factors of k. 5, 41 Let v = -53 - -92. List the prime factors of v. 3, 13 Let t(i) = 2*i**3 + 18*i**2 + 15*i + 13. What are the prime factors of t(-7)? 2, 13 Let b(m) = m - 5. Let q be b(7). Suppose q*g + 35 = 7*g. Suppose 3*l - 3*s - g = 5*l, -2 = 2*l + 2*s. What are the prime factors of l? 2 Let v(z) = 3*z**2 - z + 1. Suppose -4 = -o - 3*o. Let y be v(o). Suppose 0 = q + y*p - 18, 0*p = 3*q + 2*p - 19. List the prime factors of q. 3 Let q(y) be the third derivative of y**7/5040 + y**6/48 - y**5/60 - y**2. Let n(o) be the third derivative of q(o). List the prime factors of n(-7). 2 List the prime factors of (148/6)/(((-6)/(-9))/2). 2, 37 Suppose 40*p - 34*p = 804. What are the prime factors of p? 2, 67 Let l = -1 - -27. Suppose k + l = -0*k. What are the prime factors of (k/3)/(2/(-3))? 13 Let g = -48 - -138. List the prime factors of g. 2, 3, 5 Let l be (8/6)/(6/9). Suppose l*f - 18 = 5*x, 0 = 3*f - x + 3*x - 8. List the prime factors of (-6)/f*(-60)/18. 5 Let j(o) = -o - 13. Let t be j(-13). Suppose 0*d - 4*d + 12 = t, 0 = 5*h + d + 37. What are the prime factors of (h/20)/(3/(-135))? 2, 3 Suppose -l + 4*l = 0. Suppose 0 = 3*j - 8*j + 60. Suppose -w + 2*w - 16 = 3*s, 4*s + j = l. List the prime factors of w. 7 Suppose 7*k - 2042 = 982. What are the prime factors of k? 2, 3 What are the prime factors of (1/3*0 - 2) + 174? 2, 43 Let b(y) = y - 2. Let u be b(2). Suppose 5*v + 20 = u, 7*v = -3*x + 2*v - 56. Let c = x + 17. What are the prime factors of c? 5 Let a(j) = j**3 + 5*j**2 - 3*j. Let q be a(-5). Suppose -3*w - 4*t = -q, -t + 0*t + 2 = -w. Suppose -3*b + 5 = -w. List the prime factors of b. 2 Let r(v) = -v**3 - 6*v**2 + 8. List the prime factors of r(-6). 2 Suppose 0*u + 10 = -5*u. Let c be 3/(3/u) + -52. List the prime factors of (-3)/4 - c/8. 2, 3 Suppose 0 = -3*a - 198 + 63. List the prime factors of (2/(-3))/(6/a). 5 Let x = -78 + 133. Suppose p - 13 = -y - y, -4*p - 5*y + x = 0. What are the prime factors of p? 3, 5 Suppose 5*n + b - 2 = 0, 0 = -0*n + 5*n - 4*b - 17. Let s be 1 + 1 - (n + -1). Suppose m - s - 1 = 0. List the prime factors of m. 3 Let n(g) be the third derivative of -2*g**6/3 - g**5/60 + g**4/24 - g**3/6 + 4*g**2. Let a be n(1). List the prime factors of a/(-15) + 2/(-5). 5 Let h(s) = s**2 - 4*s - 11. Suppose -9*i + 6*i + 27 = 0. List the prime factors of h(i). 2, 17 Let z(n) = -4*n - 9. What are the prime factors of z(-13)? 43 Let b be (-10)/(-3) - 1/3. Suppose -15 = -o - b*j, -2*o - 5*j + 21 = -o. What are the prime factors of o? 2, 3 Suppose -4*q + x = 102, -4 - 106 = 4*q - 5*x. Let i be q/(-10)*(3 - 1). Suppose 2*o - 18 = -5*d, -2*o = o - i*d - 27. What are the prime factors of o? 3 Let p(v) = -v**3 + 6*v**2 + 6. Let z be (4/6)/((-5)/(-45)). List the prime factors of p(z). 2, 3 Suppose -4*q = b + 4, 5*q + 2*b = b - 6. List the prime factors of (1 - q)*12/18. 2 Let m(h) = -h**2 - 5*h - 6. Let g be m(-5). List the prime factors of (-170)/(-6) + 2/g. 2, 7 Let u(r) = -4*r - 8. Let h be u(-6). Let z = h + -4. What are the prime factors of z? 2, 3 Suppose -2*c + 40 = -7*c. Let u = 21 + -7. Let k = u + c. What are the prime factors of k? 2, 3 Suppose -5 = -2*i + 51. Let x(a) = -a**3 - 3*a**2 + 3*a + 6. Let q be x(-5). Let m = q - i. What are the prime factors of m? 13 Let c(l) = l**3 + 10*l**2 + 12*l + 3. Let q be c(-8). Suppose -f - 4*f + 5*m + q = 0, f = -5*m + 7. What are the prime factors of f? 7 Let i be (-42)/(-4)*(-28)/(-21). Let d be 9/36 - i/(-8). Suppose 3*t + d = 44. List the prime factors of t. 2, 7 Let o = -34 + 14. Let b = o + 30. What are the prime factors of b? 2, 5 Let t be 6/(-3) - (-24)/(-3). Let m be 2*t/4*-1. List the prime factors of 10*1 - (3 - m). 2, 3 Let m(v) = v**2 + 3*v + 2. Let p = 14 + -7. Let j be (-76)/28 - 2/p. List the prime factors of m(j). 2 Let z = -22 - -37. What are the prime factors of z? 3, 5 Let c(z) = z**3 + 4*z**2 + 2*z - 1. List the prime factors of c(-3). 2 Let u(b) = b**3 + 2*b**2 + b - 2. Let p be u(-2). What are the prime factors of (6/p)/((-9)/24)? 2 Suppose 3*j - 168 = -5*g + 94, -5*g + 356 = 4*j. List the prime factors of j. 2, 47 Suppose 0 = -6*n
{ "pile_set_name": "DM Mathematics" }
hout replacement from {x: 1, c: 1, j: 4, o: 1, s: 2}. What is prob of picking 1 x and 1 o? 1/36 Three letters picked without replacement from ibiiiiburiuibibi. Give prob of picking 2 u and 1 r. 1/560 Four letters picked without replacement from {f: 9}. Give prob of picking 4 f. 1 What is prob of picking 1 f and 1 l when two letters picked without replacement from {e: 2, v: 5, a: 1, f: 3, l: 1, i: 1}? 1/26 What is prob of picking 3 y when three letters picked without replacement from {y: 4}? 1 Two letters picked without replacement from {x: 1, e: 7}. What is prob of picking 1 x and 1 e? 1/4 Two letters picked without replacement from wjjwwjjwza. Give prob of picking 1 a and 1 z. 1/45 What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 3, b: 7, n: 2}? 7/22 What is prob of picking 1 a and 1 k when two letters picked without replacement from {d: 4, a: 1, r: 2, z: 1, k: 1}? 1/36 Two letters picked without replacement from {g: 4, y: 1, c: 1, t: 3, p: 2, i: 4}. Give prob of picking 1 c and 1 i. 4/105 Two letters picked without replacement from jxzjrrxjrxzzzx. What is prob of picking 1 z and 1 r? 12/91 Two letters picked without replacement from wccw. What is prob of picking 2 w? 1/6 Calculate prob of picking 2 c when two letters picked without replacement from hlncrtn. 0 Calculate prob of picking 1 l and 1 c when two letters picked without replacement from cwullluulwtcucltl. 9/68 Two letters picked without replacement from trrrrrrprrrrtttptt. What is prob of picking 2 r? 5/17 What is prob of picking 1 x, 1 w, and 2 c when four letters picked without replacement from xcwoxcxwwxowoxxwxxxx? 10/969 Two letters picked without replacement from {a: 2, h: 2}. What is prob of picking 1 a and 1 h? 2/3 What is prob of picking 1 s and 2 g when three letters picked without replacement from ysngrgpnspsgn? 9/286 Three letters picked without replacement from ibnnbiiia. What is prob of picking 2 i and 1 n? 1/7 Calculate prob of picking 1 m, 2 d, and 1 i when four letters picked without replacement from {w: 3, d: 6, i: 2, m: 2, x: 2}. 4/91 What is prob of picking 1 x and 2 i when three letters picked without replacement from {i: 2, x: 1, r: 2}? 1/10 Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hyhyhyyhyy. 3/10 Calculate prob of picking 1 m, 2 v, and 1 p when four letters picked without replacement from mvbbmvbpmvvmhm. 30/1001 Calculate prob of picking 3 o and 1 e when four letters picked without replacement from {e: 2, o: 3}. 2/5 Four letters picked without replacement from {b: 2, q: 3, f: 3, y: 1, w: 1}. What is prob of picking 1 y, 1 f, and 2 q? 3/70 What is prob of picking 1 y and 1 k when two letters picked without replacement from dykvdvkyddvdv? 2/39 Two letters picked without replacement from {p: 2, i: 6, k: 7, x: 1, o: 1}. What is prob of picking 1 o and 1 x? 1/136 What is prob of picking 1 a and 3 u when four letters picked without replacement from {c: 5, g: 1, a: 1, k: 1, u: 3}? 1/330 Calculate prob of picking 1 g and 1 n when two letters picked without replacement from gnggraraqgaggarrng. 14/153 Four letters picked without replacement from {w: 2, f: 2, e: 1, p: 1, i: 2}. What is prob of picking 2 w, 1 f, and 1 e? 1/35 Four letters picked without replacement from {j: 4, h: 8, c: 4}. Give prob of picking 2 j and 2 c. 9/455 What is prob of picking 1 v and 1 o when two letters picked without replacement from {b: 1, v: 6, x: 2, d: 1, o: 2}? 2/11 Three letters picked without replacement from urcjrcp. Give prob of picking 1 p, 1 r, and 1 j. 2/35 Two letters picked without replacement from obcbo. What is prob of picking 1 b and 1 c? 1/5 Three letters picked without replacement from eeweweqhetqe. What is prob of picking 1 t and 2 w? 1/220 Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 9, y: 1, o: 1, f: 8}. 1/19 What is prob of picking 2 r when two letters picked without replacement from {u: 1, r: 3}? 1/2 What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiii? 1 Three letters picked without replacement from {z: 4, u: 1, y: 6}. What is prob of picking 1 z, 1 u, and 1 y? 8/55 Two letters picked without replacement from stuustuuftsttssut. Give prob of picking 1 u and 1 t. 15/68 What is prob of picking 1 v, 1 d, and 1 o when three letters picked without replacement from oggvklkdkgkkgkkk? 1/560 Two letters picked without replacement from {d: 2, q: 6}. Give prob of picking 2 q. 15/28 What is prob of picking 3 p when three letters picked without replacement from {p: 4, o: 15}? 4/969 Four letters picked without replacement from xpcvxcpvvxpxpvvxxxx. Give prob of picking 1 x and 3 p. 8/969 Three letters picked without replacement from {f: 9, s: 1, r: 2, a: 4}. Give prob of picking 2 f and 1 r. 9/70 What is prob of picking 1 c and 3 q when four letters picked without replacement from ckkkqqkkccoqkqqcq? 4/119 Calculate prob of picking 1 d and 3 j when four letters picked without replacement from {j: 3, d: 2, l: 5}. 1/105 Two letters picked without replacement from {t: 2, g: 10}. What is prob of picking 2 g? 15/22 Three letters picked without replacement from pftnnmnn. What is prob of picking 1 p and 2 n? 3/28 Four letters picked without replacement from {i: 8, o: 4, e: 1}. Give prob of picking 1 i, 2 o, and 1 e. 48/715 Calculate prob of picking 2 n when two letters picked without replacement from nnnnaannnn. 28/45 Four letters picked without replacement from {o: 12, v: 2, f: 3, p: 3}. Give prob of picking 1 o, 2 v, and 1 p. 12/1615 Calculate prob of picking 1 x and 2 d when three letters picked without replacement from iiddxxdidndn. 1/11 Four letters picked without replacement from qwwnqyqdnqqnqqnwywnn. Give prob of picking 4 w. 1/4845 Two letters picked without replacement from owwxmwwvwwe. What is prob of picking 1 o and 1 m? 1/55 Two letters picked without replacement from {w: 1, c: 18}. Give prob of picking 1 w and 1 c. 2/19 Four letters picked without replacement from eqrdedbnrrqed. What is prob of picking 1 e, 2 q, and 1 r? 9/715 Four letters picked without replacement from {w: 3, z: 13}. Give prob of picking 2 z and 2 w. 9/70 Two letters picked without replacement from {b: 2, y: 2}. Give prob of picking 2 b. 1/6 Four letters picked without replacement from {w: 1, s: 2, c: 4, p: 1, m: 1}. Give prob of picking 3 c and 1 p. 2/63 Four letters picked without replacement from ywywawfyfyyf. Give prob of picking 3 f and 1 y. 1/99 What is prob of picking 1 h and 1 m when two letters picked without replacement from mmmllwooomwowhmhmxoh? 9/95 Calculate prob of picking 1 r, 2 p, and 1 i when four letters picked without replacement from {c: 5, p: 3, r: 4, i: 7}. 7/323 What is prob of picking 3 h and 1 i when four letters picked without replacement from iihhihi? 4/35 What is prob of picking 1 a and 2 b when three letters picked without replacement from babbbbabbbbbbbbbbb? 5/17 Two letters picked without replacement from {w: 1, m: 1, v: 2, b: 1, d: 2, f: 2}. Give prob of picking 1 f and 1 m. 1/18 Two letters picked without replacement from pppg. Give prob of picking 1 p and 1 g. 1/2 Calculate prob of picking 2 m when two letters picked without replacement from {w: 11, m: 2}. 1/78 What is prob of picking 2 o when two letters picked without replacement from oeooooooooeoo? 55/78 Four letters picked without replacement from {n: 1, c: 2, z: 2}. What is prob of picking 4 c? 0 Calculate prob of picking 1 t and 1 c when two letters picked without replacement from tcattact. 2/7 Three letters picked without replacement from ttttttttxxtxxtttttt. What is prob of picking 1 x and 2 t? 140/323 What is prob of picking 2 x when two letters picked without replacement from {c: 4, x: 2, g: 1}? 1/21 Four letters picked without replacement from kytskktvkkss. Give prob of picking 1 y, 1 t, 1 v, and 1 s. 2/165 Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {t: 2, g: 1, l: 1, a: 2, q: 1}. 1/35 Two letters picked without replacement from wwmdmvm. What is prob of picking 2 w? 1/21 What is prob of picking 1 f, 1 s, and 1 v when three letters picked without replacement from szvzfs? 1/10 Calculate prob of picking 2
{ "pile_set_name": "DM Mathematics" }
+ 4*q**2 - 3*q - 3. Let p(v) = -v**3 - v**2 + v. Let y(t) = -p(t) - x(t). Let c be y(-3). Let w = 73 - c. List the prime factors of w. 2, 11 What are the prime factors of 10/(-30)*51*555/(-3)? 5, 17, 37 List the prime factors of (-10)/(-8 - -13) - (-258 - 1). 257 Let n(h) = h**3 - 6*h**2 + 5*h + 3. Let b be n(5). Suppose p = b, 5*z + 3*p - 105 = -2*p. Let g = 64 - z. What are the prime factors of g? 2, 23 Let u be (-7)/(14/(-12)) + -2. Let o be -1 + -7 + u + 7. Let l(i) = 3*i**3 - 2*i**2 + 5*i - 7. What are the prime factors of l(o)? 71 Let i be (-1)/(-5) + 130/(-25). Let m = 7 + i. Suppose 28 = m*b - 10. List the prime factors of b. 19 Suppose -12868 = 15*w - 19*w + 2*g, 4*w + g = 12862. List the prime factors of w. 2, 3, 67 Suppose -5*d + 193 + 397 = 0. Suppose -4*n = 3*j - 215, 2*n - 2*j - d = -0*j. List the prime factors of n. 2, 7 Suppose 3 = -3*f, 4*q - 40 = -2*f + 490. Suppose 3*l - 219 = 54. Let b = q - l. List the prime factors of b. 2, 3, 7 Let o be (-12)/1 + (-21)/(-7). What are the prime factors of (-40)/12*(3 + o)? 2, 5 Let k(b) = -b**2 + b - 1. Let h(a) = 5*a**2 - 11*a + 10. Let v(r) = -h(r) - 6*k(r). What are the prime factors of v(8)? 2, 5 Let c = 580 - 385. What are the prime factors of c? 3, 5, 13 Suppose 399 + 2001 = 6*u. What are the prime factors of u? 2, 5 Suppose -4*b + 0 = -5*u + 36, 2*u - 4 = -b. Suppose 0*p - 55 = -3*a + 5*p, 5*a - 105 = -5*p. Let i = a - b. List the prime factors of i. 2, 3 Suppose -5*m = m - 18. Suppose -3*q - 3 = -m*d, -6*q - 32 = 3*d - 2*q. List the prime factors of 4*(2/(-4) - d). 2, 7 Let z = 34 - 34. Suppose k - 9 = 68. Suppose 0 = 5*r - 4*s - k, r + 2*s + s - 4 = z. List the prime factors of r. 13 Let d(f) = 88*f + 3. Suppose 4*o - 12 = -4*r, -2*r - 1 = 4*o - 9. List the prime factors of d(o). 7, 13 Suppose 3*z - 650 = -2*z - y, 3*y = -5*z + 660. Let m = -23 - 68. Let o = m + z. What are the prime factors of o? 2, 19 Suppose 2*n + 6*q - 4*q = 66, 2*q = -n + 33. Let w = 46 - n. List the prime factors of w. 13 Suppose s = 3 - 0. Suppose 0 = -4*k + 3*k + 4*y - 12, -44 = -s*k - 4*y. What are the prime factors of k? 2 Let q be (-2 - (3 + -10)) + -4. List the prime factors of (335 + q + -8)/((-2)/(-1)). 2, 41 Suppose 3*s = 0, -3*s + 15 = 3*a - 5*s. Let k(u) = 10*u + 12. What are the prime factors of k(a)? 2, 31 Let f(n) = 30*n**2 + 6*n - 5. Let a be f(1). Let b = a - -20. What are the prime factors of b? 3, 17 Suppose -953 = -h - 5*q, 7*q - 11*q + 3748 = 4*h. List the prime factors of h. 3, 311 Suppose -5*x = -3*c - 36, 4*c + 7 + 13 = 2*x. Suppose 0*d = -x*d + 354. What are the prime factors of d? 59 List the prime factors of (14/63 - 5/(-18))*3056. 2, 191 Let y be 12/(-30)*(-1 - 4). Let m(f) = 24*f - 3. Let z be m(2). Suppose 0 = 5*u - y*u - z. List the prime factors of u. 3, 5 Let i(z) = -z**2 + 13*z - 22. Let g be i(11). Suppose g = 4*k + 46 - 322. What are the prime factors of k? 3, 23 Let n(g) = g**3 + 3*g**2 - 2*g - 4. Let q be 4 - 5/5*1. List the prime factors of n(q). 2, 11 Let c(a) = 46*a + 446. What are the prime factors of c(28)? 2, 3, 17 Suppose -23*p - z = -24*p + 3939, -5*z - 11823 = -3*p. List the prime factors of p. 2, 3, 41 Let w(p) = p**2 + 8*p - 3. Suppose 4*x - 3*x + 25 = -4*c, 5*c = -x - 32. Let j be w(c). List the prime factors of (32/(-20))/(2/j). 2 Suppose -3*f - 4*o = -f - 1502, 4*f - 2*o = 3004. What are the prime factors of f? 751 List the prime factors of (14/98)/(2/12894). 3, 307 Let l = -4 - -15. Suppose -2*n - 6 = -2*c, -5*n + 9 = c - 0*n. Suppose -l - 17 = -c*k. List the prime factors of k. 7 Suppose -1344 = -0*r - 3*r. Suppose -j + 9*j - r = 0. What are the prime factors of j? 2, 7 Let t(k) = k**2 + 11*k - 87. List the prime factors of t(-30). 3, 7, 23 Suppose -p = 6 - 10. Let x(g) = g**3 - 4*g**2 + 3*g + 1. Let l be x(3). What are the prime factors of (l - p) + (-88)/(-8)? 2 Suppose 0 = 5*p - a + 2*a + 23, 5*a = -5*p - 15. Let v(i) = 7*i**2 + 1257*i**3 + i - 7 + 3*i - 1256*i**3. List the prime factors of v(p). 23 Let s be (-320)/(-25) - (4 + (-64)/20). Let n be (-1)/(-3) - (-308)/3. Suppose s = 5*f - n. List the prime factors of f. 23 Let w = 835 - -1497. List the prime factors of w. 2, 11, 53 Let k(a) = a**3 - 10*a**2 + 11*a + 3. Let s be k(9). Suppose 11*g = 12*g - s. What are the prime factors of g? 3, 7 Let j(i) = i**3 + 4*i**2 - 14*i - 3. Let m(u) = -u**3 - 3*u**2 + 7*u + 6. Let f be m(-4). What are the prime factors of j(f)? 3 Suppose -3*n = 61 + 29. Let g = -103 - -52. Let z = n - g. List the prime factors of z. 3, 7 Let x be (-6)/(-4) - 6/4. Suppose 3*a - 3*j - 30 = -x*j, 3*a - 4*j = 31. List the prime factors of a. 3 Suppose 259 = -5*g - w, 165 - 16 = -3*g + w. Let n = g + 116. What are the prime factors of n? 5, 13 List the prime factors of (-26)/(-39)*-33*(1 - 47). 2, 11, 23 Let h = 9 + 3. Suppose 2*q + 2 = h. Suppose 0 = -z + 3*l + 50, 2*l + 100 = q*z - 98. What are the prime factors of z? 2, 19 Suppose 0*w - 4*w = -32. Let r(f) = -2*f + 19. Let s be r(w). Suppose 0 = -s*i - 3*x + 108, -3*i - 2*x + 104 = -0*i. What are the prime factors of i? 2 Suppose 16*x - 4618 = -1642. List the prime factors of x. 2, 3, 31 Let p = -10 + 16. Suppose p = 2*k + 2. Suppose 0 = 2*g - y - 85, -91 = -k*g - 4*y - y. What are the prime factors of g? 43 Suppose 5*c + 3313 = 2*o, -5*o + o = 4*c - 6584. What are the prime factors of o? 17, 97 Let t(f) be the first derivative of f**4/8 + f**3/2 + 3*f**2/2 - 3. Let j(a) be the second derivative of t(a). List the prime factors of j(5). 2, 3 Let t be (80/(-30))/(6/(-99)). Let k = 106 - t. List the prime factors of k. 2, 31 List the prime factors of (-60)/(-270) - 10*1257/(-54). 233 Let l = 855 - 343. List the prime factors of l. 2 Suppose 5*u + 17 = 3*y - 40, -3*y = 2*u + 6. Let j = u + 15. Let q(r) = -r + 9. What are the prime factors of q(j)? 3 Let l(y) = -139 + 136 + 4*y**3 + 0*y - 5*y**3 + 3*y. Let j be l(4). What are the prime factors of j/(-10) - (-3)/2? 7 Suppose 0 = -5*m + 2021 + 4324. List the prime factors of m. 3, 47 Let u(i) be the second derivative of -i**5/20 + i**4/2 - i**3/6 - 2*i**2 + 25*i. What are the prime factors of u(2)? 2, 5 Suppose i = 4*i - 48. List the prime factors of 28/8*(-7)/((-49)/i). 2 Let t(f) = -f - 5*f + f**2 + 15*f + 4. Let d be t(-7). List the prime factors of d/(-8)*4 - -2. 7 Let z(r) = -r - 2. Let g be z(-7). Let w = -41 - -74. Suppose u = g + w. List the prime factors of u. 2, 19 Suppose 5*s - 3*m + 6*m = 1719, 5*s = 5*m + 1735. List the prime factors of s. 3, 5, 23 Suppose 4*r = -6 + 2. Let b(p) = -1. Let w(s) = 7*s. Let v(o) = 2*b(o) - w(o). List the prime factors of v(r). 5 Let z(a) = -26*a + 26. Let t be z(-5). Suppose -3*p = -2*p - t. List the prime factors of p. 2, 3, 13 Suppose 3*d - 8*d = k - 2391, -3*d = 2*k - 1436. What are the prime factors of d? 2, 239 Let f be 0/1 + 5/(20/32). Suppose 83 = 5*u - 3*h, 4*h + f = -u + 43. What are the prime factors of u? 19 Suppose 0 = 7*s + 25*s - 146016. List the prime factors of s. 3, 13 Let i(n) = 2*n**3 - 68*n**2 + 13*n + 16. List the prime factors of i(35). 23, 127 Let j(m) = 41*m**3 + 18*m**2 - 28*m - 2. List the prime factors of j(2). 2, 3, 19 List the prime factors of 1485294/897 - (1 + (-30)/26). 2, 3, 23 Let y = 1811 + -866. List the prime factors of y. 3, 5, 7 Let r be 36 + (-1 + 3 - (2 - 2)). Let n = r + -12. List the prime factors of n. 2, 13 Let n = -614 + 419. Let p = 281 + n. What are the prime factors of p? 2, 43 Let g(w) = -2*w - w**3 - 7*w - 4*w**2 + 13*w**2 - 11. Let p be g(8). Let o = 30 + p. List the prime factors of o. 11 Suppose 2*p = -2*y - 3*p - 60, -y = -p + 30. Let c = 28 + y. List the prime factors of 4 - (-15 - (-8)/c). 23 Suppose 16*g - 30008 = 27048. List the prime factors of g. 2, 1783 Suppose 1 + 11 = -4*s. Let b = -1 - s. Suppose -j - 4*j = -f, -f + 3 = -b*j. What are the prime factors of f? 5 Let m(s) = 4*s**3 + 15*s**2 + 6*s + 1. Let z(l) = -5*l**3 - 15*l**2 - 7*l. Let g(a) = -4*m(a) - 3*z(a). What are the prime factors of g(-15)? 41 Let g be 12/((-7)/(14/4)). List the prime factors of (-285)/g - 1/2. 47 Suppose 0 = -4*k - 2*o + 94, 6*k - 5*o - 51 = 3*k. Let j = 36 + k. What are the prime factors of j? 2, 29 Let c be 54/4*(-12)/(-9). Suppose -n - 17 = 2*i, 3*i - 3*n - c = 6*i. Let s = -5 - i. What are the pr
{ "pile_set_name": "DM Mathematics" }
is the nearest to 2/5 in -4, -1/3, -0.3, 4/5? 4/5 What is the nearest to -3/2 in 0.02, 0.4, 6/19? 0.02 Which is the nearest to 0? (a) -3 (b) -5 (c) -4 a Which is the nearest to -4? (a) -1 (b) 0 (c) 0.4 (d) 2 a What is the closest to -11 in -0.4, -0.5, 7, 2? -0.5 Which is the closest to -90? (a) 28/5 (b) 2 (c) 0.2 c What is the closest to 1/3 in 4, -7, 3/5, 5? 3/5 Which is the nearest to -0.3? (a) -1/10 (b) 0.06 (c) -3 (d) -0.04 a What is the nearest to 49 in 0.5, 2, 5, -6/11? 5 What is the closest to -1/3 in 1/313, 4, 2, 1? 1/313 What is the closest to -1 in 2/13, -4, -7, 3? 2/13 Which is the closest to -32? (a) 1/10 (b) -2/13 (c) 4 (d) 0.2 b What is the closest to 8/7 in 8, -2, -1, 0.5? 0.5 What is the closest to 1 in 28, 0.4, 2/9, -1/3? 0.4 What is the closest to -0.4 in 3/8, -1/5, 0.84? -1/5 Which is the nearest to -0.2? (a) -4 (b) -0.3 (c) -0.07 (d) -3/2 b What is the closest to -0.1 in -4, 8, -0.5, -1/11? -1/11 Which is the closest to 4/11? (a) -2/5 (b) 0.5 (c) 3 (d) -1 b What is the nearest to 1 in -0.04, -1/2, 2/25? 2/25 What is the closest to -0.1 in -7, 7, -1/7? -1/7 What is the closest to 3 in 2/3, 3, -2/7? 3 What is the closest to 7/39 in 2, 2/3, 0? 0 What is the nearest to -1 in 4, -0.3, 0.2, 8? -0.3 Which is the closest to 1? (a) 0.05 (b) -0.3 (c) 1.26 (d) 2/7 c Which is the closest to 0.2? (a) -1/5 (b) -9.5 (c) 3 (d) 0.2 d What is the nearest to -2 in -5/2, -11, -5, -3? -5/2 What is the nearest to 9 in 3, -1/4, 0.1, 2/5? 3 Which is the closest to 39/5? (a) -4 (b) 0.5 (c) 2 (d) -7 c Which is the nearest to -2.1? (a) 3 (b) 0 (c) 2 b What is the nearest to -1/10 in 0.3, 2/29, -166? 2/29 Which is the closest to 1? (a) 0.6 (b) 2/3 (c) -5 b What is the closest to 1 in 6, 0.2, 12? 0.2 Which is the nearest to 0.031? (a) -5/3 (b) 7/5 (c) -2/13 c Which is the nearest to -1/2? (a) -1/4 (b) -1.8 (c) 5 a What is the closest to 2 in 38, 1/4, -1? 1/4 Which is the closest to 3? (a) 4 (b) 0.4 (c) 5 a Which is the closest to 1? (a) 5 (b) -3282 (c) -2 c What is the closest to 0.2 in 2/27, 0.4, 0.7? 2/27 Which is the nearest to -5? (a) 0.01 (b) -26 (c) 5 (d) -3/4 d Which is the closest to -1? (a) 0.4 (b) -2 (c) 2 (d) 3/2 b What is the closest to 0.1 in -2, -14/11, -1.1? -1.1 What is the nearest to 1 in 2, 3/2, 20, -5? 3/2 What is the nearest to -2/3 in -0.2, 5, 5/6, 2? -0.2 What is the closest to -2.7 in -7, -5/3, 15? -5/3 Which is the closest to -4? (a) 1/3 (b) -2 (c) 1/4 (d) -2/3 b Which is the nearest to 0? (a) 73 (b) 0 (c) 0.1 b What is the nearest to -1 in -2/5, -40, 0.1, 0.3? -2/5 What is the nearest to 4 in 0.07, 5, -4, -2? 5 What is the closest to -3/5 in 1/11, 0.2, -1/9? -1/9 What is the closest to 0 in 5/2, 0.05, 1/5? 0.05 Which is the nearest to 1.4? (a) 7 (b) 0 (c) 6/7 c What is the closest to -0.078 in 20, -2, -0.2? -0.2 Which is the closest to -2/7? (a) -2/129 (b) 0.3 (c) 2 a Which is the nearest to -8/5? (a) -5 (b) -25 (c) 4 (d) 3/5 d What is the closest to -1 in -0.1, -96, 2? -0.1 What is the nearest to 0 in -0.4, 1, -0.09, 0.2? -0.09 Which is the closest to -1? (a) -3 (b) 1/46 (c) -1/4 (d) 0.3 c Which is the nearest to -4/3? (a) 1 (b) -5 (c) 1/9 (d) -19 c Which is the closest to 1? (a) 9 (b) -17 (c) -5 (d) -3 d Which is the closest to 0? (a) -2/879 (b) -0.2 (c) 5 a What is the closest to -1/3 in 1/6, 115, -25/6? 1/6 Which is the closest to -10? (a) 0.4 (b) 2 (c) 9 a Which is the closest to -0.1? (a) -0.01 (b) 5 (c) -10 (d) -1 a Which is the closest to -1? (a) -4/7 (b) -1 (c) 1 (d) -2 b Which is the nearest to 0.01? (a) -0.1 (b) 1 (c) 6/7 (d) -2/9 a What is the closest to 2 in -0.1, -26, 4/3, 5? 4/3 Which is the closest to 0.1? (a) -8 (b) -0.14 (c) 0 c What is the nearest to 0 in 5/6, 1/1401, 2/3, 0? 0 What is the closest to -0.2 in -11/6, -1/3, -0.2? -0.2 What is the closest to -1 in 5, 0, 54? 0 What is the closest to 0.6 in -0.05, -0.4, 0? 0 Which is the closest to 2/233? (a) -0.1 (b) -0.2 (c) 0.5 a Which is the closest to -7.5? (a) 5 (b) -1 (c) -4 c What is the nearest to -2 in -2/3, 1/10, 7, -3/5? -2/3 Which is the closest to 2? (a) -3 (b) -135 (c) -1/6 c What is the closest to -1.7 in 5, -1/4, -5, -0.1? -1/4 Which is the closest to 18? (a) -2/11 (b) -1 (c) -8 (d) -4/9 a What is the closest to 0 in -1.3, 2, 4, -1? -1 What is the closest to -1/2 in -2, -2/3, -5, -73? -2/3 What is the closest to -0.4 in 5/6, -0.2, 2, 3? -0.2 What is the nearest to 0.4 in -14, -0.2, 2/15? 2/15 What is the closest to 24 in 0.1, 3, 13? 13 What is the closest to 3 in 3/5, -3, 0.3, -1? 3/5 Which is the closest to 0.1? (a) -3 (b) 3 (c) 22 (d) -0.5 d What is the closest to -1 in 2, 2/13, 4/3? 2/13 What is the nearest to -3/4 in -1.62, 0.1, -2/5? -2/5 Which is the nearest to -963? (a) 5 (b) 1 (c) 0.5 c What is the nearest to 103 in -5, 3/4, -2? 3/4 Which is the nearest to -8? (a) -24 (b) 2 (c) -1 (d) -0.1 c What is the closest to -2/87 in -132, 0.1, -0.1? -0.1 What is the closest to 0 in -0.5, -2, -4? -0.5 What is the nearest to -1 in -1/5, -2/5, 3558? -2/5 What is the closest to 1/3 in 4, 5, -0.5? -0.5 Which is the closest to 1/85? (a) 5 (b) -0.3 (c) 0.3 c Which is the nearest to -1? (a) 75 (b) -2 (c) 0.3 (d) -3/7 d Which is the nearest to -2? (a) 0 (b) 29/5 (c) 0.1 a Which is the nearest to -45.6? (a) 4 (b) 0.05 (c) 0.5 b Which is the closest to -5? (a) 1 (b) -4 (c) 6/11 (d) 0.3 b Which is the nearest to 4/5? (a) 12 (b) 3 (c) 4 (d) -2/5 d What is the closest to -2/111 in 0.1, -2/9, 2? 0.1 What is the nearest to 1 in -2/13, 394, 1/2, -3/4? 1/2 What is the closest to -1 in 7, 2/5, -49/4? 2/5 Which is the closest to -2/5? (a) -2 (b) 4 (c) -0.3 c What is the nearest to -1/3 in -11, 1/2, 2, 0.1? 0.1 Which is the nearest to 0.1? (a) 1 (b) -5 (c) 56 a Which is the nearest to 0.2? (a) -1 (b) -2/7 (c) 12 b What is the nearest to -1 in 2/11, -1, 30? -1 What is the closest to -4 in -0.4, 5, 0.3, 8? -0.4 What is the closest to 2 in 0, -2/35, 24? 0 Which is the closest to -3/14? (a) -0.3 (b) 3/8 (c) 1 a What is the closest to 2/13 in 1/3, 2, -2/3? 1/3 Which is the closest to -20? (a) -0.1 (b) 5 (c) 0 (d) 167 a What is the nearest to -6/19 in -0.4, -4, 2/7? -0.4 What is the closest to -0.146 in -1, 4, 2/17? 2/17 Which is the nearest to 0? (a) -2/11 (b) 0.4 (c) 0.02 c What is the nearest to 0.04 in 2, -2, -1/5, 0? 0 Which is the nearest to 123/8? (a) 4 (b) -2/27 (c) -2/13 a What is the closest to 1 in 2, 0.4, -3? 0.4 What is the nearest to -6/25 in 2/43, -1/9, -4? -1/9 Which is the nearest to 0.3? (a) -0.5 (b) 1/3 (c) -4 (d) -5 b What is the nearest to 2 in -4/3, -24, 17, 0.1? 0.1 What is the closest to -104 in 4/9, -0.02, 0.4? -0.02 Which is the closest to 1? (a) -2 (b) 76 (c) -3 (d) -3/5 d What is the closest to 0.1 in 2/5, 0.2, -3/5, -29? 0.2 Which is the nearest to 0.5? (a) 0.02 (b) -4 (c) -1 a What is the closest to -3 in 0.5, -2, 5, 0.1? -2 Which is the closest to 4? (a) -4 (b) 1 (c) -0.06 (d) -2 b Which is the closest to 2? (a) 0 (b) 2/9 (c) -1 b What is the nearest to 1.266 in -0.3, -0.1, 2, 1? 1 Which is the closest to 1/3? (a) -0.4 (b) -1 (c) -0.9 a What is the closest to 0.1 in 0.4, -1/11, 4, 0.9? -1/11 What is the closest to 1 in 16, -3, 55.9? -3 What is the nearest to 0 in 0, 3, -8/7? 0 What is the closest to 4 in -2.9, -5, 4? 4 What is the closest to -1 in -5, 2, 2.6, 2/13? 2/13 Which is the closest to 1.2? (a) 3/4 (b) 5 (c) 7 (d) 2/5 a What is the nearest to -1 in -1, 0, 0.33, -0.3? -1 Which is the closest to 56? (a) 5 (b) -2/5 (c) 2/11 (d) 0.2 a Which is the nearest to 0? (a) -0.3 (b) -118 (c) -0.1 (d) 0.2 c What is the closest to 1 in 36, 15, -2/5? -2/5 Which is the nearest to -0.14? (a) 2 (b) -2 (c) -4 (d) -1.6 d Which is the closest to -21? (a) -14 (b) 0.5 (c) 0.3 (d) -3/4 a What is the nearest to 1/5 in -3/5, 4, 5, -2? -3/5 What is the closest to -2 in -16, -4, 8? -4 Which is the closest to -1/3? (a) -1 (b) 437 (c) 1/2 a What is the closest to 0.1 in 5, -1/3, -5? -1/3 Which is the nearest to -1/4? (a) -5/2 (b) -2 (c) -3 b Which is the closest to -2/73? (a) 0.3 (b) -1/4 (c) -1/8 (d) 0.2 c Which is the closest to 0.06
{ "pile_set_name": "DM Mathematics" }
s 3 divide (p/(-81))/(j/120)? False Suppose 3*f - 139 = -2*o + 1309, -3*f = -2*o - 1456. Suppose f = 6*l - 38. Is 14 a factor of l? False Suppose -4*c - 12 = 0, 0 = -f - 3*c + 3 + 5. Suppose 5*a = -m - f, -2*m + 6*m - 12 = 0. Let q(y) = -2*y**3 - 3*y**2 + 5*y - 2. Does 8 divide q(a)? False Let k(t) = -707*t - 2532. Is 30 a factor of k(-6)? True Let n = -74 + 76. Is ((-2)/n - 3) + 6015/15 a multiple of 27? False Suppose 42*y - 95428 = 39518. Does 52 divide y? False Let q = 76 - 34. Suppose k = -2*a + 328, 330 = 43*k - q*k + a. Does 3 divide k? False Let d be (-22)/(-6) + (-5)/3. Suppose -3*x + 2148 = -3*r, -d*x - x + 2134 = 4*r. Is 14 a factor of x? True Let l(g) = 3*g - 1. Let n be l(-7). Let q = n - -27. Let v(j) = 10*j - 11. Is 11 a factor of v(q)? False Suppose -2*q = 4*z - 15 - 5, -z + 4*q = 4. Let b be (-2 + (0 - 8/z))*-1. Suppose 0 = -b*k, -n = -2*n + 2*k + 103. Is n a multiple of 16? False Let o = -47 + 51. Let n(s) = -24 - o*s - 9 - s. Is n(-8) a multiple of 4? False Let f = 299 - 754. Let d = f + 915. Suppose -2*p = -4*s + d, -8*p = -4*p. Is s a multiple of 13? False Suppose -5*v = v - 162. Suppose -v*i + 11*i = -3408. Is i a multiple of 5? False Let v be 9*((-138)/(-45) - (-8)/(-20)). Does 7 divide 505/3 - (-8 + 152/v)? False Let o(m) = -m**2 + 27*m - 17. Let i be o(27). Let x(h) = h**3 + 18*h**2 + 15*h + 20. Let z be x(i). Suppose 44*t - 45*t = -z. Does 27 divide t? True Is 4 + 121433/8 + (-87)/696 a multiple of 26? False Let k = -437 + 221. Let p = 275 + k. Is p a multiple of 3? False Let a = -5394 - -16212. Is a a multiple of 52? False Does 47 divide ((-5)/(-10))/(46/2549228)? False Let b be (112/70)/((-2)/15). Does 15 divide (2 - 52/8)/(b/80)? True Let k = -47 + 47. Suppose -r - 3*r - 20 = k, 0 = n - 5*r + 104. Let h = n + 220. Does 13 divide h? True Suppose v + 12 = 4*o, -3*v + 0*v = -3*o. Suppose 429 = -o*i + i. Let k = i - -200. Is 7 a factor of k? False Let y(g) = -g + 12. Let u(o) = o - 11. Let w = -39 - -33. Let n(k) = w*y(k) - 7*u(k). Is n(0) a multiple of 5? True Let k = 344 + -240. Let c(z) = z**2 + 19*z + 55. Let i be c(-17). Suppose 17*a - i*a = -k. Does 19 divide a? False Let o = -102 + 86. Let z(j) = -2*j - 20. Let t be z(o). Let s(h) = -h**3 + 14*h**2 - 15*h - 28. Is s(t) a multiple of 8? True Let l(m) = -8*m**3 + 8*m**2 + 25*m - 141. Is 5 a factor of l(-7)? True Let r = -46 + 51. Suppose -a - 5*g + 420 = 0, 0 = a + 2*a - r*g - 1320. Is a a multiple of 10? False Suppose -88*m - 490 = -89*m. Let z = 927 - m. Is z a multiple of 23? True Suppose -56*l + 118*l = 81*l - 145920. Is l a multiple of 12? True Is 7/14*33486 - (-45)/(-15) a multiple of 13? False Let g = -3346 + 11506. Is 68 a factor of g? True Let r be (0 + 1)/((80/6264)/(-10)). Is 5 + (4 - (0 + r)) + -6 a multiple of 98? False Suppose 0 = 5*k - 2*n + 161, 0 = -5*k + 4*n + n - 155. Let r = k + 147. Is r a multiple of 6? True Suppose -20360 = -4*i - 8*j, 11715 = 3*i + j - 3580. Is 170 a factor of i? True Suppose 16*p - 9647 = 193. Let u = p + -196. Let c = u + -179. Is 15 a factor of c? True Suppose b - 1974 = -h, 0 = -3*h - 2*b + 8541 - 2624. Suppose 0 = 52*m - 41*m - h. Does 8 divide m? False Let w(u) = -u**3 + u**2 + 4*u + 2. Let l be w(-1). Suppose -z - 55 + 228 = l. Does 21 divide z? False Let k(c) = -c**3 - 35*c**2 - c - 33. Let q be k(-35). Suppose q*b - 5*t - 735 = 0, 3*b - 1077 = -35*t + 34*t. Is b a multiple of 18? True Let s = -24 + 32. Suppose s*t = 10*t + 10. Let g(j) = -4*j + 37. Does 25 divide g(t)? False Let g = 180 + -257. Let f = 84 + g. Let w = 29 + f. Does 6 divide w? True Is (144/20)/(-12)*-6530 a multiple of 3? True Is 22 a factor of (5504/48)/((3 + -5)/(-66))? True Let h(q) = 171*q - 1378. Is 23 a factor of h(36)? False Suppose 16*u - 55309 - 120003 = 0. Does 15 divide u? False Let l(a) = -11*a + 124. Let m be l(11). Suppose -4*y - f - 7 = -178, m*f + 89 = 2*y. Does 13 divide y? False Let q = 8492 - 4527. Is q a multiple of 13? True Suppose 36 - 15 = -3*d. Is (2 + 50/d)/(3/(-399)) a multiple of 9? True Let p be 4/48*4*-21. Let b(r) = 24 - 15*r - 4 - 3 - 2 - r**2 - 5. Is 22 a factor of b(p)? True Suppose 23*z = 15415 + 12 + 29078. Is 43 a factor of z? True Let l(j) = -4*j**2 + 3*j + 4. Let t(o) = o - 1. Let s be t(-1). Let f be l(s). Let p = f - -21. Does 3 divide p? True Is 2 a factor of ((-9294)/24)/((-44)/176)? False Let w(v) = -v**2 - v + 2. Let f(o) = -6*o**2 - 25*o + 43. Let h(y) = f(y) - 5*w(y). Is 36 a factor of h(-15)? True Let v(k) = 12*k**2 + 23*k + 3. Let q be (-7)/2 + 4/8. Does 7 divide v(q)? True Let o(a) = a**3 - 6*a**2 - 8*a + 1. Let g(r) = 2*r**3 - 19*r**2 - 25*r + 4. Let b(i) = 3*g(i) - 8*o(i). Let m be -4 - (3 + -2 + 0). Does 25 divide b(m)? False Does 14 divide 5493 - -8*2/8? False Let x be 2/((-8)/(-24) + (-1)/(-3)). Suppose c - t + 7 - x = 0, 4 = 3*c + 5*t. Is 28 a factor of 4/(-4) + (-58)/c? True Suppose -3*h - 70 = -17*h. Suppose 0 = r - 3*k - 408, 2148 - 148 = 5*r - h*k. Is r a multiple of 29? False Let w = 514 - 503. Is 21 a factor of ((-16)/3)/(w + (-6239)/567)? True Suppose 53012 = 3*u - 4*q, -2*u = -4*q - 21668 - 13664. Is 65 a factor of u? True Let s = -10285 + 15847. Suppose -4*h = 114 - s. Is h a multiple of 17? False Suppose 9*p - 13*p - 2110 = -x, -5 = p. Is 38 a factor of x? True Suppose 24 = -18*u + 22*u. Let z = -3 + u. Suppose 256 + 89 = z*b. Does 23 divide b? True Suppose 4015 = s + 5*p - 3350, -4*s + 29574 = p. Is 85 a factor of s? True Let v be (-12 - 10)*(-6)/4. Let b be 2/(6/v + 0). Let p = b + 55. Does 22 divide p? True Suppose 25 + 14 = 3*l. Let p = 100 - l. Suppose u + p = z, -4*u + 75 = z - u. Does 14 divide z? True Suppose 535 = -159*l + 164*l. Does 68 divide 0 + l - (13 + -9)? False Let g = 428 + -170. Suppose 5*h = 2*h + g. Does 25 divide h? False Suppose -26*k - 15 = -31*k. Let l be 3 + (2 - -1)/k*0. Is 14 a factor of (l + (0 - 1)/1)*76? False Let t = 108 + -110. Is 23 a factor of (t/(-3))/(22/17457)? True Let c = 2719 + 1215. Does 12 divide c? False Let w = -34 + 33. Let q be (-1)/w + (12 - -7). Suppose -q*y + 25*y = 45. Does 7 divide y? False Suppose 0 = -4*c, -2*k - 46*c = -45*c - 12400. Does 50 divide k? True Let s(o) = 5*o**2 + 5*o + 2. Let t be s(-4). Let b(a) = 72*a - 430. Let k be b(6). Is 2 a factor of 3 - t/(-8) - k/(-8)? False Does 24 divide 169 + -185 - 252*-15? False Is 18 a factor of 8*(-1676)/80*(-56 - -1)? False Let b(j) = 206*j - 3342. Is 36 a factor of b(51)? True Let g(r) = 51*r**2 + 2*r + 1. Let q be g(2). Let z = 390 - q. Is 27 a factor of z? False Suppose 0 = -5*k + 4*k - 4. Let o be 4/8*79*k. Let h = -4 - o. Is 11 a factor of h? True Suppose -8*t - 7 - 9 = 0. Let l be -1 - (t/(-4))/((-14)/28). Suppose 4*c - 8 = l, -2*d + 4*d - c - 58 = 0. Is d a multiple of 8? False Let i be (-2620)/(-110) + (-2)/(-11). Let l be i/42 + 54/(-21). Does 5 divide (3 - 7) + 8 - l? False Suppose -43*s + 45*s - 14 = 2*r, -s + 5*r = -19. Suppose -c = 2*p - 6*p + 2891, -724 = -p - c. Suppose -s*g + 2*f + 969 = -f, 3*g - p = f. Does 37 divide g? False Let h = 1087 + 3326. Is 36 a factor of h? False Let n be ((49 + 3)/((-13)/(-26)))/2. Suppose 53*p + 2*s - 563 = n*p, 4 = s. Is p a multiple of 37? True Let k be (12/(-5))/3*(-420)/2. Let b = k + -76. Is 23 a factor of b? True Suppose 8*p + 7*p - 135 = 0. Suppose -p*u + 1665 = -603. Does 12 divide u? True Suppose 19*r - 2484 = 18*r. Does 29 divide (r/8)/((-6)/(-8))? False Let m(i) = 27*i - 6. Let z(b) = -27*b + 5. Let a = -40 + 38. Let w(q) = a*m(q) - 3*z(q). Does 35 divide w(3)? False Let n = 92 + 64. Let g be ((-20)/50)/(16/(-120)). Suppose a = -g*a + n. Is 13 a factor of a? True Suppose 0 = -28*o + 16330 + 2486. Suppose 0 = -5*d + 4*f - 0*f + 40, 3*d = 3*f + 27. Suppose 2 = -z, -o = -d*r + 3*z - 26. Is r a multiple of 7? False Is 11 a factor of 35176/5*195/78? False Suppose -5*x - 1920 = -0*x. Suppose -c - 2*t - 108 = 453, -2*c + 4*t = 1146. Let v = x - c. Is 16 a factor of v? False Does 91 divide 20 - (-40)/(-4) - -809? True Let b(h) be the first derivative of 35 + 2/3*h**3 - 4*h - 7/4*h**4 - 5/2*h**2. Is 24 a factor of b(-3)? False Let m(s) = -22*s - 35. Let y = -10 + 23. Let n be m(y). Let k = 562 + n. Is 45 a factor of k? False Let b(h) = 580*h - 2480. Does 45 divide b(16)? False Suppose -55*y = -17*y. Suppose 3*p - 1675 = -4*q, 6*q -
{ "pile_set_name": "DM Mathematics" }