z(q) = q - 9. Let h be z(8). Let r be ((-8)/(-12))/(3/27). Calculate the least common multiple of 4 and 22*(r/3 + h).
44
Let n be (-506)/(-8) + 4/(-16). Calculate the common denominator of ((-8)/(-16))/((-2)/43) and (-10)/70 + (-418)/n.
36
Calculate the common denominator of 139/12 and (-1 + 2)/((-780)/(-710)).
156
Let k be (-10 - -12)/((-2)/(-3)). Suppose 57 = k*d + s, 5*s + 26 = d + 3*s. Calculate the least common multiple of d and 22.
220
Suppose -76 = 3*v - 310. Suppose 3*l + 5*q + 57 = -v, 215 = -5*l - 5*q. Calculate the common denominator of ((-68)/l)/(2/15) and -99/8.
8
Let y(r) = r**3 - r**2 + 2*r. Suppose m + 1 + 7 = -2*o, 2*m = 2*o + 14. Let v be 2 + -1 + (m - 1). Calculate the lowest common multiple of 1 and y(v).
8
Let s = 573/10 + -6691/120. Let q = s + -641/24. Calculate the common denominator of q and -57/10.
30
Let h(c) = -c**2 + 10*c - 1. Let q be h(-8). Let x = 150 + q. Calculate the lowest common multiple of 10 and x.
10
Find the common denominator of (1435/228 - 7) + (-1)/(-4) and 85/6.
114
Find the common denominator of -92/675 and (11*20/(-24))/(-19 + 22).
1350
Let v = 118 - 104. Let b = -2051999/538902 + 1/20727. What is the common denominator of v and b?
26
Let y be -4 + 2 + 3 - -1. Calculate the common denominator of 2139/216 + y/9 and ((-84)/22)/(-3) - 1.
88
Let s be 44/((-147)/141 + 1). Let w = s + 1517. Find the common denominator of 111/22 and w/(-56)*1/(-3).
88
Suppose -5*v - 11 = k, -5*k - 9 = -2*v + 19. Find the common denominator of ((-58)/(-132))/(k/(-18)) and -47*(5/2)/5.
22
Let w = 773715 + -4664957/6. Let u = w + 3795. Find the common denominator of 37/12 and u.
12
Let w = 227981/18 - 12669. Calculate the common denominator of w and -93/242.
2178
Let u be 12/3 + 8/2. Suppose 2*x - 12 = u. Suppose -i - 4 = -20. What is the least common multiple of x and i?
80
Calculate the common denominator of (-2)/(560/(-766)) + 4/(-14) and 11/10.
20
Let u = 445/7 + -61. Let l = u - 85/14. What is the common denominator of l and (-75)/(-8) + (-3 - -1)?
8
Let j = 3991988 + -479046149/120. Let q = j + 778/15. Find the common denominator of q and (-288)/440 + 4/(-5).
88
Suppose 18770668 = 5*f + 5*w + 4624653, 4*f + w = 11316806. Let c = f + -3791126621/1340. Let d = c + -12/67. Calculate the common denominator of -137/18 and d.
180
Suppose 5*i - 5 = -5*u, 2*u + 2*i + 1 = 3*u. Let r(t) = 41*t**3 - 1. Let p be r(u). Find the common denominator of (-21)/p*25/(-6) and -31/8.
16
Let c = -9066/5 + 1819. Find the common denominator of ((-2)/(-20))/(4/(-890)) and c.
20
Let n be (4/6)/((-6)/9). Let c be (-15)/(-35)*(520 - n). Let w = 13099/56 - c. Find the common denominator of w and 137/18.
72
Let q(y) = 11*y - 10. Let s(w) = 6*w - 24. What is the least common multiple of q(2) and s(5)?
12
Suppose 9*b + b = 650. Suppose 35 = -60*u + b*u. What is the smallest common multiple of u and 7?
7
Let o = -356 + 412. Calculate the lowest common multiple of 18 and o.
504
Suppose -4*s = -3*i - 10, -4*s + i = -s - 10. What is the common denominator of -9/44 and (1 + (-6)/s)/((-374)/527)?
44
Let l = 13 + -5. Suppose m + l*m = 306. What is the smallest common multiple of m and 2?
34
Let b = 937 + -913. Calculate the least common multiple of 72 and b.
72
Let o(a) be the second derivative of a**5/20 - 2*a**4/3 + a**3/6 + 2*a**2 - 7*a. What is the least common multiple of 46 and o(8)?
276
Let x = 17 - 99. What is the common denominator of (13/(-52))/((-1)/x) and (-4)/10 + 393/70?
14
Let i be (-2 + 0)/(4/56). Calculate the common denominator of (-4)/6*(45 + -7) and (2/i)/(3/36).
21
Suppose 7*d = 2*d + 30. Let s = 464 - 413. What is the least common multiple of s and d?
102
What is the least common multiple of (-3)/(18/15)*20/(-25) and 548?
548
Let t(f) = -2*f - 33. Suppose -3*w = 3*r + 39, -r = 5*w + 21 + 60. Calculate the lowest common multiple of (-4)/(-14) + 244/28 and t(w).
9
Let t be 28/154 + 1404/22. Suppose -t = -h - h. What is the common denominator of ((-6)/h)/((-2)/(-24)) and 13/8?
8
Let q be (-4)/2*(-12)/8. Suppose -q = -4*n + 21. Let u = 24 - 15. What is the lowest common multiple of n and u?
18
Suppose 10*s - 5*s = -2*q + 2, -3*s - 6 = 0. What is the lowest common multiple of 24 and q?
24
Let a(c) = 2*c**2 + 58*c + 256. What is the least common multiple of 231 and a(-4)?
1848
Let c(a) = -2*a - 37. Let j(t) = -3*t - 55. Let w(d) = 7*c(d) - 5*j(d). Suppose -m - 20 = -5*m. What is the least common multiple of w(-8) and m?
40
Let c(s) = s**3 + 4*s**2 - 27*s - 34. Suppose d + 0*d = 6. Calculate the least common multiple of d and c(-7).
24
Suppose 0 = -9*c + 28 + 53. What is the common denominator of 59/2 and -4 + 75/c + 4?
6
Let h(p) = -p - 10. Let a be h(-12). Let l be (a + 1)/(-6)*2. Calculate the smallest common multiple of (-3 - 1)*l/2 and 22.
22
Let x be (-3)/(-15) - (-41)/(-5). Let s = x + 5. Calculate the lowest common multiple of (2/s)/((-2)/33) and 8.
88
What is the common denominator of -59/85 and 294/(-27)*(-69)/782?
255
What is the least common multiple of 16 and -4 + 4/3*276/8?
336
Let w = 22 + -31. Calculate the common denominator of (-30 + 4)*(-1)/(-16) and (3/w)/((-2)/(-123)).
8
Let y = 2425 - 2335. What is the least common multiple of 300 and y?
900
Let h(l) = -l**2 + 10*l + 14. Suppose 0 = p - 1 + 7. Let a be (-8)/p*(-165)/(-22). Calculate the least common multiple of 18 and h(a).
126
Calculate the common denominator of -4*((-23)/5 + 5) and (8/3)/(14/(-4) - -2).
45
Let h = -52499 - -1890113/36. Find the common denominator of -107/24 and h.
72
Let r = -12 + 1. Let j(g) = -g - 4. What is the smallest common multiple of 3*1 + 45 + -47 and j(r)?
7
Find the common denominator of (355/(-160) + 4)/(15/12) and 31/95.
760
Let d = 2 + 4. Let x be ((-2)/4)/(1/d). What is the common denominator of -25/2 and x/(84*1)*22?
14
Let d = 17/15 - -5/3. Find the common denominator of 35/(-252)*(-7)/5 and d.
180
Let w = 8778 - 175649/20. What is the common denominator of w and -43/8?
40
What is the smallest common multiple of -43 - -170 - (1 - (2 + -4)) and 32?
992
Suppose -292*w + 384 = -286*w. Calculate the least common multiple of w and 40.
320
Suppose -7*y = -284 + 4. Suppose 2*s - 82 = 4*j - 2*j, -5*s - 4*j = -196. What is the common denominator of 823/(-132) - (y/44)/5 and s?
12
Let u(h) = 2*h + 4. Let z be u(-7). Let m(i) = -i**2 - 13*i - 6. Let y be m(z). What is the common denominator of -3 - 4/(y/91) and 45/14?
42
Let y = -90 - -27. What is the common denominator of -39/8 and (-446)/(-16) - y/(-168)?
8
Suppose 5*k = 2*n + 52 + 82, 3*n = 9. What is the least common multiple of 5 and k/35*(-15)/(-6)?
10
Suppose -5*b - 2*p + 473 = p, -2*p - 299 = -3*b. Let v = 115 - b. What is the least common multiple of 22 and v?
198
Let q(t) = -6*t**3 + 2*t**2 + 3*t. Let b be q(-1). Suppose -2*j = -5*p - 30, 0*j - 4*p + 42 = b*j. Calculate the smallest common multiple of j and 18.
90
Let b = 44 + -24. Let c(a) = 3*a + 23. Let i be c(-8). What is the least common multiple of 40/2*((-2)/i - 1) and b?
20
Calculate the common denominator of -3 + (38/(-12))/(-1) and (-27)/36 - 25/(-3).
12
Let t be 1939/(-2) + (-15)/30. Let d = t + 3961/4. What is the common denominator of -73/3 and d?
12
Suppose 2*d - 3*b + 8 = -b, -4*d - 2*b = 46. Let z = d + 31. What is the lowest common multiple of 8 and z?
88
Let a = -9281 + 92923/10. Find the common denominator of (5/230)/(8/328) and a.
230
Let v be 2*-2 - (3/1 + -10). Calculate the smallest common multiple of (0 - -1)*v - (-11 + 3) and 26.
286
Calculate the smallest common multiple of 14 and ((-35)/7 - -7) + 0.
14
Let s(d) = -11*d - 42. Let v be s(-8). Suppose v = 9*h + 1. Calculate the lowest common multiple of h and 4.
20
Let p = 11461/26 + -439. What is the common denominator of (-693)/56*6/36 and p?
208
Let c = -233239/10724 + -2/2681. Calculate the common denominator of c and 37/6.
12
Let p = 5441321 + -65385155/12. Let k = p + 7453. Find the common denominator of k and -3.
12
Suppose -5*b + 626 = g - 556, 464 = 2*b - 4*g. Calculate the lowest common multiple of 40 and b.
2360
What is the common denominator of ((-3375)/(-3770) - 4) + (-11 - -14) and -39/16?
6032
Find the common denominator of -2*34/228*102/187 and -30/247.
2717
Calculate the least common multiple of ((-1)/3 + (-1495)/15)/(-2) and 50.
50
Suppose