058
Let b = 1765/342 - 78/19. Calculate the common denominator of b and (-534)/176 - ((-42)/(-154))/3.
72
Calculate the smallest common multiple of 668 and (-54)/21*(-980)/105.
4008
Let u = 742267/47668126 - 1/27427. What is the common denominator of u and -19/474?
5214
What is the common denominator of 37/11 and (-339)/2*(138/2484)/((-2)/(-4))?
66
Let j = -5074219/103147625 - -6/117883. Calculate the common denominator of j and -46/5.
875
Let g = 53 + 34. Let l = g - 63. What is the least common multiple of l and 6?
24
Let o = 21661 + -21650. Let w(t) = t. Let g be w(-4). Let f(u) = u**2 + 3*u + 5. What is the lowest common multiple of f(g) and o?
99
Suppose 12*o - 17 = -j + 10*o, -2*j - 5*o + 37 = 0. Calculate the smallest common multiple of 266 and j.
2926
Suppose 0 = 5*i - 8*i + 4410. Suppose 0 = -0*g + 15*g - i. What is the smallest common multiple of 9 and g?
882
Let p = -589439/57 - -10340. Calculate the common denominator of 53/357 and p.
6783
Let u(a) = a**3 - 9*a**2 - 6*a - 1. Let x = 6 + 4. Let l be u(x). Let f = -35 + l. What is the smallest common multiple of f and 7?
28
Let h = -72403/9 - -8049. Let p be ((-69)/12)/(2/8). Let w = -8 + p. What is the common denominator of h and w?
9
Calculate the smallest common multiple of (-12 - 3 - (29 + -38))*-2 and (-4)/8 - 25/(-2).
12
Let r = 305 + -343. Let j = -30 - r. Calculate the least common multiple of j and 34.
136
Suppose -4*h = 2*i + 1236, -5*h = -2*i + 5*i + 1857. Let u = i - -798. Calculate the least common multiple of 18 and u.
522
Suppose 0 = -5*m + 75 - 335. Suppose 11 - 26 = -3*z + 3*r, 0 = -3*z - 2*r. Calculate the common denominator of 3 + m/80 + z/8 and -71/3.
15
Let t be (-1961871)/(-98)*133/(-1274596). Let a = 6/16771 - t. Calculate the common denominator of 59/98 and a.
392
Let d = 278 - 245. What is the common denominator of 29/4 and (61/(-18))/(517/d)?
564
Let v = -274 - -303. Suppose -5*d = 4*k - 55, -3*d - 25*k + 1 = -v*k. What is the lowest common multiple of d and 19?
133
Find the common denominator of (9/(-120)*1)/((-414)/(-5612)) and 371/21 - (1 + 0).
60
Suppose 21*j + 696 = 4*s + 17*j, -5*s + 3*j = -880. What is the least common multiple of 1611 and s?
1611
Calculate the smallest common multiple of 1002 and (19 - 3 - 7)/(2*(-5)/(-120)).
18036
Let b = -91 - -56. Find the common denominator of (728/(-357))/((-4)/(-6)) and 2 + 0 - ((-145)/b - 5).
119
Let c = -45 + 47. Suppose c*g = -2*d + 32 - 0, d = 2*g + 19. What is the smallest common multiple of d and 4?
68
Let d(x) = -77*x + 4369. What is the least common multiple of 1526 and d(44)?
13734
Let r(g) = g**3 - 8*g**2 - 7*g - 33. Let w be r(9). What is the common denominator of 7/12 and (-93)/36*-2 - (-12)/w?
60
Let c(b) = -14*b**3 + b**2 - 3*b - 5. Let u be c(-2). Let d = u - 90. Let i = 22 - 7. What is the lowest common multiple of d and i?
135
Let p(v) = 85 - 41*v + 32*v - 116. Calculate the lowest common multiple of 18 and p(-7).
288
Let f be (580/15)/((-724)/(-18)). Let d = -1475186587 + 35779175455067/24254. Let i = f + d. What is the common denominator of i and -43/6?
402
Suppose -5*h - 19 = -59. Suppose -o - 4*i - 3 = 0, 3*o - 47*i + 51*i + 1 = 0. What is the least common multiple of o and h?
8
Let l = -8651/7 + 492967/399. Calculate the common denominator of l and -12/5149.
15447
Let g(w) = w**3 + 22*w**2 + 9*w - 47. Let h be g(-22). What is the common denominator of h/15*(-9)/30 and -32/21?
210
Calculate the common denominator of (-3949)/1320*5 + 17 and 5/2097.
16776
Suppose 5*h - 3*t - 45 = 0, 3*t - 2 = 2*h - 20. Let r(u) = -u**3 + 9*u**2 - 11*u + 100. What is the least common multiple of 3 and r(h)?
3
Let f = 10824 + -248993/23. Let u = 2607/7 - 372. What is the common denominator of f and u?
161
Suppose -18*l + 1920 = -6*l. What is the smallest common multiple of l and 288?
1440
Let w be 2/28*-4 + (-4509)/21. Calculate the common denominator of (-23)/69 - w/24 and -91/50.
200
Let f = -796581/56 - -28453/2. Calculate the common denominator of f and 37/1392.
9744
Suppose 3*b = -4*n - 50432, 13*n - 12*n + 12608 = 2*b. What is the smallest common multiple of 35 and 1/(7/(-2)) - n/224?
280
Let s = 98120 - 38266823/390. What is the common denominator of s and -1/520?
1560
Let m be 3/2*(-12 + (297 - -11)). Let t = -374 + m. Calculate the smallest common multiple of 60 and t.
420
Let w = -6432978565/866328 - -996/36097. Let p = -7428 - w. Calculate the common denominator of p and 7/78.
312
Let w = -16 + 19. Calculate the common denominator of (2/w)/((-40)/(-222)) and (-58740)/(-3168)*1/(-35).
840
Let g = -28117169453301 + 36070392004863631031/1282860. Let j = 3/28508 - g. What is the common denominator of j and 2128/(-70)*(-5)/20?
45
Let n = -41038001/28968 - -101313/71. Let j = n + -195/34. What is the common denominator of 113/18 and j?
72
Suppose 15*n + 25*n - 720 = 0. Suppose 0 = n*h + 8*h - 208. What is the lowest common multiple of 109 and h?
872
What is the common denominator of 9/22 and 6970/(-1968)*4/(-7895)?
104214
Suppose -154*k = -12*k - 91448. Calculate the lowest common multiple of k and 322.
644
Let g(c) be the first derivative of 11*c**2/2 - 160*c + 21. Suppose -18 = -2*x + 34. Calculate the lowest common multiple of g(16) and x.
208
Let y be 4/6 + (-13)/(-39). Let f be 77*(1 + 0/y). Suppose -5*b + 43 = -2*r - f, 4*b - 3*r = 96. Calculate the common denominator of -30/7 and b.
7
Suppose 66717 = 76*m + 1737. What is the lowest common multiple of m and 55?
9405
Let q = 370/47 - -1787/376. Find the common denominator of q and (20/(-4) - (13 - 12)) + 302/42.
168
Suppose v + 64*r = 61*r + 122, 2*v = 4*r + 304. Calculate the smallest common multiple of 336 and v.
1680
Let r = 2413 + -1531. Calculate the smallest common multiple of 1029 and r.
6174
Let l be (-5)/10*32*-1. What is the common denominator of 3/74 + 4/l and -1/8?
296
Let r = -197 - -200. Suppose 0 = -3*w + h + 15, r*w - 5*h + 2*h - 15 = 0. What is the lowest common multiple of w and 25?
25
Let w = -3/2740 - 12869/758980. Let l = 18481453009/554 + -33359996. Let x = w - l. Calculate the common denominator of x and -79/6.
6
Let r = 16057/3 - 81569/15. Let p = r - -90. What is the common denominator of p and -77/2?
10
Suppose -613 = -23*b + 1687. What is the least common multiple of 160 and b?
800
Suppose 4*g = -9*m + 12*m + 1870, 2*g + 3*m - 944 = 0. What is the smallest common multiple of 670 and g?
4690
Let n = 8/401 + -16569/6416. Let g = 10727 + -9407580/877. Let v = -30701/5262 - g. Calculate the common denominator of n and v.
48
Let s = 17217 - 3477827/202. Calculate the common denominator of -53/14 and s.
1414
Let x(c) = 28*c - 100. Let n be x(37). Suppose 2*v - 3*m - n - 404 = 0, -2*v + 1332 = -m. Calculate the lowest common multiple of 4 and v.
664
Suppose 125*l = 54*l + 355. Let q(y) = y**2 + 3*y + 6. Calculate the lowest common multiple of l and q(-4).
10
What is the common denominator of (7975/3132)/(-55)*86/(-10) and -155/5016?
45144
Let f = 192253511/770 + -249680. Find the common denominator of 40/77 and f.
770
Find the common denominator of (-5 + 2)*1 - ((-5517)/(-1425) + -7) and -53/855.
4275
Calculate the common denominator of (2 + 142/60)/((-70)/175) and -67/456.
456
Suppose 4226 = 4*a + 5*q, -a + 655 = -4*q - 391. Let t = a + -686. What is the lowest common multiple of 16 and t?
368
Let a(m) = 4*m**3 - 97*m**2 + 25*m - 17. Let r be a(24). What is the smallest common multiple of (-13 + r)*(210/(-4))/3 and 15?
105
Let l be 48/128 + (6342/80)/(-1). Let i be (456/(-15) - 2) + 2. Let x = l - i. What is the common denominator of x and 91/38?
38
Let q = -478494/13 - -65553721/1781. Calculate the common denominator of q and -33/4.
7124
Suppose -36 = -4*v - 2*l, -l + 42 = -v + 6*v. What is the smallest common multiple of 1*(371 - ((-18 - -52) + -13)) and v?
1400
Let t be ((-120)/(-28))/((-33)/(-8162)). Suppose -1413 = -4*w - 0*w - 5*f, -3*w - 4*f + t = 0. Calculate the least common multiple of 3 and w.
1056
Calculate the lowest common multiple of 11 and ((-28000)/240)/(8/(-105)) - (-5)/(-20).
16841
Suppose 0*h + 36 = 3*h + 3*d, 4*h - 48 = -2*d. Let t be (-6200)/22582 - h/42*-1. Let w = t - 147107/29034. Find the common denominator of -22/3 and w.
18
Let s(b) = -2*b**3 - 47*b**2 + 21*b - 59. Let p be s(-24). Calculate the co