593 + 1625720926130827/452573076033386. Let x = -1/791 + w. Find the common denominator of x and 71/18.
198
Let u(o) = o**3 + 15*o**2 - o - 11. Let g be u(-15). Let m = 65 - 39. Suppose -54 = -g*p + m. Calculate the lowest common multiple of p and 12.
60
Suppose 3*x + 23 = 4*h, -2*x - 14 = -h - 2. What is the lowest common multiple of h and 18?
18
Let y(w) = -w**3 - 6*w**2 - w - 8. Let f be y(-6). Find the common denominator of 8 - (f/(-1) - 1) and -11/2.
2
Suppose -i + 29 = 28. What is the lowest common multiple of 4 and i?
4
Suppose -4*j + 340 = -4*v - 0*v, 0 = -j + 3*v + 85. Suppose -2*k - 3*n = -6*k + 65, -j = -5*k + 5*n. Calculate the smallest common multiple of 20 and k.
140
Let c(w) = -w**3 + 5*w**2 + 5*w + 2. Let y be c(6). Let z = y - -18. Suppose 2*l - z = l. What is the lowest common multiple of 18 and l?
126
Suppose 0 = -5*u - 4*w + 64, -u - w - 11 = -2*u. What is the least common multiple of (u/9)/(4/18) and 14?
42
Suppose -3*q + q = -192. Suppose 3*f - q = -f. Let b = f + -14. What is the lowest common multiple of 12 and b?
60
Let d(z) = -z + 11. Let c be d(9). Suppose -3*i = -5*w - c - 0, 2*i - 2*w - 4 = 0. What is the lowest common multiple of i and 6?
12
Let r(u) = -u**3 - u**2 + 6*u + 7. What is the smallest common multiple of 5 and r(-3)?
35
Let y = 112 + -103. Calculate the least common multiple of 27 and y.
27
Let u be 25/2*(-4)/(-5). Suppose -2*n - z - 4 = z, n + u = -3*z. What is the least common multiple of 10 and ((-48)/(-14))/n*7?
60
Let x(b) = b**3 + 4*b**2 - b + 2. Suppose -3*j + 62 = 23. Suppose -2*z = 4*k - 0*k + 4, -3*z - j = -k. Calculate the smallest common multiple of 2 and x(z).
6
Suppose f - 31 = -4*f + 4*q, -2 = 2*f + 2*q. Suppose 0 = 4*r - 4, r - 23 = -f*j - r. Let s(c) = -2*c + 1. What is the lowest common multiple of s(-3) and j?
7
Find the common denominator of -37/63 and (-221)/(-60) + (-84)/140.
252
Suppose -2*i - 56 = -5*r - 4*i, 4*r - 37 = i. Calculate the lowest common multiple of r and -3 - 2 - (-1 - 16).
60
Let f = 1091 - 188. Let m = -2/85223 - -145305219/170446. Let g = m - f. Calculate the common denominator of g and 13/4.
4
What is the least common multiple of 0 - (0 + -3)/((-3)/(-14)) and 2?
14
Let d be -7*1 + 3 + -3. Let v = 13 - d. What is the least common multiple of 10 and v?
20
Let y = 28/29 - -381/116. Calculate the common denominator of y and -31.
4
Let i be 0 - (3 - 1438/6). Let a = -5605/24 + i. Calculate the common denominator of -31/18 and a.
72
Let l be (7/192)/1*-5. Let a = 1473/64 + l. Calculate the common denominator of a and (2/(-22))/(2/96).
66
Let d = -1 - -13. What is the least common multiple of 16 and d?
48
Calculate the smallest common multiple of 20 and 3/(2 + -1 + 0) + 9.
60
Let m(y) = 4*y**2 - y + 2. Calculate the least common multiple of 44 and m(-2).
220
Let i(u) = u**2 - 7*u - 3. Suppose -3*s + 24 = -0*s. Calculate the lowest common multiple of 11 and i(s).
55
Suppose 4*a + 5*t - 51 = 0, 0*a - 3*a + 33 = 2*t. What is the least common multiple of a and 9/12 + (-50)/(-8)?
63
Calculate the common denominator of (-410)/(-8)*(-2)/25 and 67/12.
60
Let t(i) = -i**2 - 1 + 0*i**2 + 7*i + 4. Suppose 6*b = 8*b - 8. Calculate the least common multiple of t(6) and b.
36
Let q = -727/3 - -2641/12. What is the common denominator of q and (-3660)/96*4/(-10)?
4
Suppose -27 = -0*r - r. Find the common denominator of (-359)/18 - 6/r and -34.
6
Let q(r) = -r**3 - 6*r**2 + 6*r. Suppose 5*c - 24 = c. What is the lowest common multiple of q(-7) and c?
42
Calculate the least common multiple of ((-2)/8 + (-29)/(-4))/1 and 34.
238
Suppose b - 6*b + 33 = 4*g, -7 = -g - b. What is the common denominator of (1 + (-11)/7)*g and 5/2?
14
Suppose -3*d + 3 - 6 = 0. Let m = 0 + d. What is the lowest common multiple of 10 and (m - -10) + 0 + -2?
70
Let a = 9331167 - 1325032395/142. Let c = -39/71 - a. What is the common denominator of -31/3 and c?
6
Suppose m + t - 3*t - 7 = 0, -4*m = -t - 35. Let k be (-1)/((-3)/m) + 0. Suppose -k*q = -7*q + 40. What is the least common multiple of q and 16?
80
Let a be (-2)/4 + (-7)/(-2). Suppose a*i - 2*i = 14. Let v = 16 - 10. Calculate the lowest common multiple of v and i.
42
Let f be -2 + (-9)/(-6) - 1838. Let q = 1880 + f. Let b = 182/5 - -11/10. What is the common denominator of b and q?
2
Suppose -4*u + 2*b = u - 80, 0 = 4*u - 3*b - 57. Let f be 29 + -1 + 2/2. Suppose 4*a - 3 = f. What is the smallest common multiple of u and a?
72
Let d(m) = -17*m**3 + m**2 - 3. Let h be d(3). Let g = h + 3597/8. Calculate the common denominator of 101/4 and g.
8
What is the common denominator of -12/5 and 625/144 - (-16)/72?
80
Find the common denominator of (-2)/8 + (-699)/(-36) and (-9)/(-15) + 1842/(-270).
18
Suppose k - 3 = 4*k. Let d(p) = -p**2 - 4*p - 1. Let g be d(-5). What is the common denominator of -39/22 and -2 - k - 45/g?
22
Suppose -2*m - 2*k - 30 = -6*m, -m + 10 = -3*k. Suppose 0 = -0*v - 4*v + 44. What is the least common multiple of m and v?
77
Calculate the common denominator of 46/(-80) + (-10)/(-50) and 19/8.
8
Let h(q) be the first derivative of -q**2/2 + 8*q - 3. What is the lowest common multiple of 10 and h(-6)?
70
Let r = -15 + 17. Calculate the least common multiple of 9 and r.
18
What is the common denominator of ((-1)/12)/(4/105) and -43/7?
112
Suppose 3*n + 7 = 4*z + 16, -3 = -n - z. What is the common denominator of 67/6 and 447/99 + (-1)/n?
66
Suppose 4*o - 26 = 4*s - s, -4*s + 4*o - 28 = 0. What is the smallest common multiple of s/(-3) - (-68)/6 and 6/14 + (-156)/(-28)?
12
Let b = -38839/2354 + -1/1177. What is the common denominator of -83/10 and b?
10
Suppose 6*h + 22 = 7*h. Find the common denominator of ((-2)/4)/((-10)/h) and 79/2.
10
Find the common denominator of 19/6 and ((-147)/30)/(9/(-5)).
18
Suppose 4 + 1 = l. What is the lowest common multiple of 38/l + 14/35 and 1?
8
Suppose o - 2 = 16. Let d be (3*-6)/((-6)/3). Calculate the smallest common multiple of 30/d*6/5 and o.
36
Let z be 10/(-4)*(-9339)/(-105). Let s = 5886 + -42482/7. Let q = z - s. Find the common denominator of -7/3 and q.
6
Let d = -159 + 165. What is the smallest common multiple of 80 and d?
240
Suppose -5*b - 4*u = -0*u - 189, 0 = b - 5*u - 61. Suppose -5*o - b = -3*x, 4*x + 4*o + 8 = 52. What is the least common multiple of 4/6 - 138/(-9) and x?
48
Let g = 1103 - 24217/22. Find the common denominator of -49/8 and g.
88
Let f = 1629/2 + -833. Let r be (-4)/(-18) - 7132290/(-864). Let m = r + -8259. Find the common denominator of m and f.
16
Let v = 81609/4 - 18980. Let l = v - 1435. Find the common denominator of l and 89/4.
4
Let u be 12/(-4) + 4/(-1). Let h = -5 - u. What is the least common multiple of h and 18?
18
Let p(c) = -c**3 + 24*c**2 + 3*c - 18. What is the least common multiple of p(24) and 16?
432
Let u be 1/(-3) + (-61)/(-3). Let g = u + -10. What is the lowest common multiple of g and 10?
10
Suppose 2*q = 5*i + 3*q - 9, 0 = i + 2*q. Calculate the lowest common multiple of 70 and i.
70
Let s be (-1 + 20*4)/(-5). Let v = -123526 - -3705301/30. Let o = s - v. What is the common denominator of o and 36?
6
Suppose 5*y = -2*p + 1008, 2*y + 3*p - 406 = 5*p. Let v = y + -138. Let d = v + -42. Calculate the least common multiple of d and 4.
44
Calculate the common denominator of ((-268)/(-40) - 0) + 1 + -1 and -18/5.
10
Suppose 0 = m + 3*m - 112. What is the least common multiple of m and 14?
28
Let a be ((-6165)/(-3))/(66/(-28)). Let o = -871 - a. Calculate the common denominator of o and -6/7.
77
Let g(j) = 4*j - 2*j + 13 - 9 - 4*j. Calculate the lowest common multiple of 18 and g(-6).
144
Suppose 3*x + 2*q = 20, -5*x - 4 + 34 = 5*q. Calculate the least common multiple of 5 and x.
40
Let g = 171901/16 - 10739. Find the common denominator of g and -27.
16
What is the lowest common multiple of (-10)/(-4) + (-1)/(-2) and 11?
33
Let d(l) = -689*l - 4. Let p be d(3). Let h = -18664/9 - p. Find the common denominator of -1/8 and h.
72
Let k be ((-9)/(-34) + -1)/22. Let c = k - -40075/80036. Let u = c - -11405/1926. What is the common denominator of u and -91/16?
144
Let h = 76277/8190 - 11/819. Let x(k) = k**3 - 8*k**2 - 11*k - 10. Let d be x(10). What is the common denominator of h and (1 - -2)/(d/(-136))?
10
Let x be ((-6)/(-4))/(2/36). Suppose -s = -