*i**2 + 3*i + 4. Let u be f(-8). What is the least common multiple of 15 and 14/6 - u/30?
15
Let f(x) = x**3 - 6*x**2 - 21*x + 132. What is the lowest common multiple of 22 and f(5)?
22
Let d = 23 - 20. Suppose 4*i + 32 = -d*r, -r = i - 4*i - 24. What is the smallest common multiple of -2 + 3 - (-1 + i) and 10?
10
Suppose 19*x - 1786 = 3629. What is the smallest common multiple of x and 15?
285
Let h be (1/33)/((-6)/(-3) - -1). Let f = h - -1973/693. Let z = -280 + 3076/11. Find the common denominator of f and z.
77
Let b = -386 - -503. What is the smallest common multiple of b and 18?
234
Let u = 875737/76912 - -1/6992. Let m be 79/66 - (21/3)/7. Let x = u + m. What is the common denominator of x and -55/26?
156
Suppose 0 = 174*d - 166*d - 1944. Let l be 33*((-73)/10)/(-1). Let x = d - l. What is the common denominator of 41/4 and x?
20
Let f(g) = -g**2 - 5*g - 8. Let l be f(-3). What is the smallest common multiple of 2 and (l - 1)/(3/(-14))?
14
Find the common denominator of (216/(-400))/((-4)/30) and 55/38.
380
What is the common denominator of -50/21 and (234/(-21))/(81/(-14))?
189
What is the common denominator of 45/56 and -3*((-10)/25 + (-1405)/(-2450))?
392
Suppose 3*i - 12 = 42. Let x be 34/9 - i/(-81). Find the common denominator of 85/4 and 249/x*(-6)/9.
4
Let z = -80 + 86. Find the common denominator of 190/36 - 1/z and 83/10.
90
Let p = -28/81 + -5365/648. Find the common denominator of ((-84)/70)/(8/250) and p.
8
What is the smallest common multiple of ((-70)/120*-21)/((-1)/(-4)) and 1?
49
Let l(h) = h**3 - 6*h**2 - 9*h + 16. Let s be l(8). Calculate the common denominator of 32/s + 910/(-36) and -101/8.
24
Let w = 6872/5 + -68747/50. What is the common denominator of w and -41/30?
150
What is the least common multiple of (-4)/(-8 - (-1590)/200) and 16?
80
Let o(p) = 3*p**2 + 14*p - 88. What is the least common multiple of o(6) and 8?
104
Let j = -9147 + 201295/22. Calculate the common denominator of (-58)/(-18)*(-15)/2 and j.
66
Suppose 4*h - 4 = 0, -2 = -3*q + 2*h + 11. What is the smallest common multiple of 75 and q?
75
What is the lowest common multiple of (6*(-36)/30)/((-30)/100) and 160?
480
Let g = 412 + -411. Let u(r) be the first derivative of 5*r**2/2 - r + 1. What is the least common multiple of u(g) and 2?
4
Let g = -201257/7135 + 10/1427. Let v = g + 477/10. Find the common denominator of v and (-13704)/2184 + (-4)/26.
14
Let y be (-134)/3*((-262)/(-8) - 5). Let x = 1206 + y. What is the common denominator of -65/4 and x?
4
Calculate the common denominator of (-27)/56*10/(-3) and (2/20)/(7/(-119)).
140
Let o be (-15)/25 - (-217)/(-5). Let v = 230 - o. Calculate the common denominator of 6/4*v/54 and -125/18.
18
Suppose -27 = -3*t + 72. Suppose 2*q + 2*q = 900. Find the common denominator of q/t - (4 - 2) and -68/15.
165
Let p(l) = 5*l + 58. Let k be p(-11). Suppose -c = 4*o - 42, -k*c + 3*o + 46 = -o. Calculate the smallest common multiple of c and 42.
462
Let d = -1749/4 - -434. What is the common denominator of 75/4 and d?
4
Let v = 1960047 - 188162881/96. Let h = -35305/6 + 5902. Let g = v - h. Find the common denominator of g and 121/20.
160
Let t(r) = -2*r**2 + 56*r. Let g be t(23). What is the common denominator of 51/14 and g/(-48)*2 + 1?
84
Suppose 70 = -y + 6*y - 5*j, -2*y = j - 13. Calculate the least common multiple of y and ((-10)/6)/((-1)/18).
90
Let b be ((-34)/(-10) + 1)/(8/40). Let q = b + -4. Suppose -1 = 3*v - 7. What is the lowest common multiple of q and v?
18
Suppose 2*j = 10, -k - 2*k + 374 = -2*j. Let b = k + -98. Calculate the least common multiple of b and 6.
30
Let m(j) = 3*j + 3. Let s = 427 + -394. Calculate the smallest common multiple of s and m(4).
165
Let r = 128473/41118 + -16/2937. Calculate the common denominator of 33/5 and r.
210
Suppose -4*r + 67 = -5*r. Let b = -47 - r. What is the common denominator of (((-339)/b)/(-3))/(-1) and -47/8?
40
Let g(s) = s**2 + 6*s - 17. Let v be -3 - -1*(-2 + -4). What is the smallest common multiple of 4 and g(v)?
20
Let k = 118925 + -1430387/12. Let l = -1155/4 - k. Find the common denominator of (-32)/(-3) + 0 - 1 and l.
6
Let s(z) = 2*z**2 + 11*z + 5. Let c be s(-5). Let n = -4 + 9. Suppose c = n*q - 51 - 19. Calculate the lowest common multiple of 16 and q.
112
Let q(v) = -v**2 - v. Let u(n) = 5*n**2 + n - 2. Let t(g) = 4*q(g) + u(g). Calculate the lowest common multiple of 8 and t(4).
8
Let j = -10 - -6. Let s be (-6)/j - (-3)/6. Calculate the smallest common multiple of 4 and -6*(-3*s + 4).
12
Let k(z) = -z**3 + 4*z**2 + 5*z + 7. Let t be k(5). What is the common denominator of 298/60 - t/(-21) and 8/23?
230
Suppose -4*k = 2*q - 7 - 3, 0 = -4*k + 4. Suppose -a = q*g + 14 + 37, -2*g - a - 35 = 0. Find the common denominator of 17/8 and (-1 + 188/g)*2.
8
Let r = -14477/20678 - -236/211. What is the common denominator of r and 69/2?
98
Let q(o) = -2*o - 35. Calculate the smallest common multiple of 1 and q(-18).
1
Let c(m) = -3*m + 23. Let f be c(7). Suppose 2*u + 6*g = g + 53, -f*u + 4*g + 44 = 0. What is the lowest common multiple of 30 and u?
120
Let b be ((-11)/2)/(0 + (-1)/8). Suppose -5*w - 2*p = -b, 0*p - 17 = -2*w - p. Calculate the smallest common multiple of w and 14.
70
Suppose -2*j + 9*f - 13*f + 338 = 0, f = -5*j + 827. What is the lowest common multiple of 88 and j?
1320
Suppose 3*i - 2*h = 26, 0 = -i + 2*h + 1 + 13. Let v(n) = 19*n - 74. Calculate the least common multiple of 28 and v(i).
280
Let f = 4 + -8. Let g be f/(-2)*(-1)/1. Let c = 9 + g. Calculate the least common multiple of c and 12.
84
Let c = -3/170 - -4892/255. Find the common denominator of c and 1 - (-2 + 81/15)*-3.
30
Let t = -21975 - -6661. Let o = -168286/11 - t. Let c = o + -875/22. Find the common denominator of c and 95/6.
6
What is the common denominator of 938/120 - (54 - 45) and 103/390?
780
Suppose -3*h + 3*l - 3699 = 0, 2*l - 4922 = 4*h + 3*l. Let o be (-27089)/22 + 0/(-2). Let r = o - h. Find the common denominator of r and 77/10.
110
Let z(p) = -p - 7. Let v be z(-6). Find the common denominator of (-57)/2*1/v and (-8)/(-6) + (-203)/(-14).
6
Let w = -1 - -3. Suppose -4*d + w*o + 6 = -o, 0 = 2*d - 3*o. Suppose k - 3*z - 15 = 6, d*z = -5*k + 33. What is the least common multiple of 6 and k?
18
Let j(u) = u**2 - 13*u + 171. Calculate the lowest common multiple of j(10) and 15.
705
Let d(p) = -p**3 - 12*p**2 + 14*p - 9. Let o be d(-13). Let k be 1 - 0 - (-1 + o). Suppose m + k = 4*m. Calculate the least common multiple of m and 10.
40
Let d = 1846 - 1836. Suppose 0 = 5*b - 8*b + 36. Suppose 4*u = b, 36 + 15 = 4*w + 5*u. Calculate the lowest common multiple of d and w.
90
Suppose 78 = 3*u - 18. Suppose -5*m = 2*n - u, 4*n = -0*n + 4. Calculate the lowest common multiple of m and 14.
42
Let h be (15/4)/((-3)/8). Let w(g) = g - 5. What is the lowest common multiple of w(11) and ((-10)/h)/(1/3)?
6
Let v = 5640333/56 + -735230/7. Let z = -4300 - v. Find the common denominator of z and 53/2.
8
Let a be (-4)/6 + (-56)/24. Find the common denominator of a/(-45)*(-1455)/18 and -91/30.
90
Suppose 5*y - 127 + 531 = -g, y + g = -80. Let b = -60 - y. What is the least common multiple of b and 27?
189
Let x = -3 + 13. What is the lowest common multiple of x and (-42)/7 + 17 + 0?
110
Suppose 0 = 5*h + 25, -u - h - 3 - 5 = 0. Calculate the common denominator of 61/6 and (u/2)/(48/248).
12
Let f(u) = 2*u**3 + 18*u**2 - 2*u + 2. Let d be f(-9). Find the common denominator of -79/18 and (1 + (4784/12)/4)/d.
90
Suppose -5*s = g + 2*g + 84, -s = -3*g + 6. Find the common denominator of (-1)/(-5) + 53/s - 2 and 21/11.
33
Suppose 0 = 5*t + 11 - 51. Let z = 5832 - 5730. What is the lowest common multiple of z and t?
408
Suppose 2*i = 4*y + 444, -3*y + 6*i = i + 319. Let g = -110 - y. Calculate the lowest common multiple of 5 and g.
15
Let w(i) = 15*i**3 + 2*i**2 + 7*i - 10. Let u be w(14). Let z be ((-2)/(-4))/(16/u). Let c = 1316 - z. Find the common denominator of 49/3 and c.
12
Suppose -4*w + 177 = 5*o - 3*w, 0 = 4*o - 3*w - 134. What is the lowest common multiple of 35 and o?
35
Let o = -128/9 + 1255/99. Suppose -5*r + 17 = 4*k, 0 = -2*k - 2*r + 6. Let n = k + 8. What is the common denominator of o and n?
11
Let z(q) = -26 - 9 - 2*q - 7 - 2*q. What is the smallest com