ate the least common multiple of c and 324.
3564
Suppose -14 = -p - 6. Suppose -2*l + 3*l = p. Suppose 3*i + 25 = 2*q, -4*q + 62 = -6*i + 4*i. What is the lowest common multiple of l and q?
136
Let g(d) = 9*d + 42. Suppose 0 = -3*n - 29 - 4. Let x(w) = -w - 15. Let t be x(n). What is the smallest common multiple of g(t) and 7?
42
Let i(s) = s**3 + 13*s**2 - 2*s - 25. Let z = -231 + 218. What is the smallest common multiple of 172 and i(z)?
172
Suppose -3*l + 175 = 2*l. What is the least common multiple of l and (-2)/36 - (-8)/((-4176)/(-14645))?
140
Let d = -20503 + 20509. Calculate the lowest common multiple of 2685 and d.
5370
Let t be 19/((-4054540)/4054615 - -1). Let m = t + -1026088. Let w = m + -3227/3. Calculate the common denominator of w and 43/8.
120
Let b = -952937/11344644 - -132/6179. Find the common denominator of b and -28/27.
1836
Find the common denominator of -75/10106 and (7/(-112)*-38)/((-5)/30).
20212
Find the common denominator of (-2)/(-35*96/(-1596)) and -43/2130.
4260
Let u = -1513 - -1054. Let x = u - -477. What is the smallest common multiple of 34 and x?
306
Let p = -213 + 183. Calculate the common denominator of 41/54 and 8 - (5215/p)/(-7).
54
Suppose 0 = 25*j - 87 - 107 - 6. What is the smallest common multiple of 15 and j?
120
What is the common denominator of (-698)/1745 + (-2)/160 and 49/10?
80
Suppose 0 = 5*b + 28 - 183. Let n = -44 + b. Calculate the smallest common multiple of 17 and (n/(-2) + -5)/(6/32).
136
Let d(f) = 3*f**2 + f - 3. What is the smallest common multiple of (-2600)/3640*378/(-5) and d(3)?
54
Let c = 99039/14 + -7078. What is the common denominator of c and ((-1)/(28/106))/(-1)?
14
Let f(t) = t**2 - 4*t + 10. Let n be f(2). Suppose 0 = n*u + 209 - 263. Calculate the lowest common multiple of u and 12.
36
Suppose 9*t + 50 = 10*t. Suppose 3*d + 40 = g + t, 2 = 3*g - d. Let x = 49 - -54. Calculate the lowest common multiple of g and x.
206
Let t = -50 + 50. Let p be 4 + (-35165)/45 - (1 - t). Let w = p + 777. Calculate the common denominator of w and 87/10.
90
Let b = -5638 + 7774. Calculate the smallest common multiple of b and 267.
2136
Suppose 5*y - 617 = -4*i - 185, -3*i = -y - 305. Let m = i + -91. What is the lowest common multiple of m and 33?
132
Let j be 20/15 - 28/(-6). Suppose 5*g + 2 = h + j, -2*h + 7 = 5*g. Calculate the common denominator of (h + 0)*19/10 and -29/2.
10
Let c = -10293/5 + 198067/95. Let u = c + -19577/684. Find the common denominator of -145/12 and u.
36
Suppose -t + 6*t = 55. Let y be (2/t)/(-1) + 1329/(-11). Let n = y - -137. Calculate the lowest common multiple of n and 62.
496
Let l(n) = -n**3 + 25*n**2 + 25*n + 31. Let q be l(26). Suppose 0 = q*j + 39 - 129. Calculate the lowest common multiple of 24 and j.
72
Suppose -b - 61 = 3*u - 2*b, b = 1. Let w = 0 + u. Let t = 38 + w. What is the smallest common multiple of t and 16?
144
Calculate the common denominator of -2*(-4)/(-72) + 1043/(-2520) and -93/640.
640
Let c be 40/16 - (-2)/(-4). Let n be (-632 + c)/(-2 - 27). Let t = -12149/638 + n. Calculate the common denominator of t and 59/16.
176
Let w = 12496 - 12484. Let p = -33 + 66. What is the lowest common multiple of w and p?
132
Let y = -107 + 419/4. Find the common denominator of (16/40*5/1540)/(20/250) and y.
308
Let g = -75917383/118818 + 14695/23. What is the common denominator of g and -43/21?
5166
Suppose 0*r - 2*r + 74 = -4*s, -3*s - 6 = 0. What is the lowest common multiple of r and 627?
627
Let v = 239/14 - 2795/126. Let a = -779 + 784. Calculate the common denominator of v and (204/16)/(a + (-105)/(-6)).
90
Suppose -5*k = -d - 1733, 10*k - 5*k - 1721 = -3*d. Suppose 0 = -5*p + k + 544. What is the smallest common multiple of 20 and p?
1780
Suppose 6*v + 3*g + 130545509 = 4*v, -v = g + 65272753. Let d = -69711287629/1068 - v. Let m = d - -250/89. Find the common denominator of 51/7 and m.
84
Let u = -3146 + 3296. Calculate the least common multiple of u and 450.
450
Let p(k) = -4*k**2 + 5*k - 6. Let s be p(2). Let o(r) = 2*r**3 + 26*r**2 + 24*r + 9. What is the smallest common multiple of o(s) and 21?
63
Let h(v) = v**3 - 3. Let z be h(2). Suppose 0 = -b - 9*i + 12*i + 37, -3*b + 41 = z*i. What is the least common multiple of 418 and b?
418
Suppose 3*n = 2*n. Suppose 3*q + 2*m - 50 = n, -2*q = m + 2*m - 30. Suppose 22*f - 20*f = 36. Calculate the lowest common multiple of f and q.
18
Suppose 12*r = 4*r + 88. Let i = -17 - -19. Suppose 8 = i*j - 8. What is the smallest common multiple of r and j?
88
Let w(q) = 60*q - 201. Let t be w(17). Calculate the common denominator of 125/6 and (405/t)/(6 - (5 + -1)).
546
Find the common denominator of 107/90 and ((-1848)/(-18) + -3)/((-180)/11) - -6.
540
Let h = -2129027/592764 + 675/188. Let z be 1514292/(-612)*(-62)/29428. Let u = z - h. Calculate the common denominator of 37/18 and u.
126
Calculate the common denominator of -17/144 and (-10)/(-110) - (-32865)/22176.
288
Let a(l) = -l**3 - 11*l**2 - 9*l - 10. Let f be a(-10). Calculate the lowest common multiple of 5/f - 34/(-8) and (-1)/2 - 1 - 189/(-14).
12
Suppose -4*n - 18 = -g, 0 = 3*g - 23*n + 20*n - 27. What is the least common multiple of 12 and g?
12
Suppose -12*z + 4*r + 88476 = 0, 0 = 17*z - 18*z - 4*r + 7347. Calculate the lowest common multiple of z and 1053.
7371
Let m be (-3 + 6)/(1 - 0). Let x = -5633 - -5640. Calculate the least common multiple of x and (m/(-9))/((-2)/6).
7
Suppose 4*o + 2*y + 4914 + 2758 = 0, 0 = o + y + 1919. Let c be 318/o - (-6)/27. Let k = c + 2812/497. Calculate the common denominator of 39/11 and k.
77
Suppose 16 + 12 = 7*k. Let x be 868/(-63) - 4/18. What is the least common multiple of 6 and -32*(x/k + 3)?
48
Suppose 3*i = -4*q + 16207, 3*i - 4*q = -7993 + 24240. Let o = i - 97411/18. What is the common denominator of o and 63/(-30)*(-10)/18?
18
Let c = -59391/28 - -2118. Suppose -7 - 130 = -4*u - l, 5*u - 175 = -2*l. Find the common denominator of c and ((-85)/(-12))/(u/(-9)).
308
Suppose 4*c - 3*f + 351 = 0, -4*c - 6*f - 326 = -4*f. Let x be (-2 + 6)/(3*(-2)/c). Find the common denominator of -75/4 and (-1 - (-3)/5)/(x/(-530)).
28
Calculate the common denominator of 19/20 and (51/(-24))/((-28417)/(-471)).
7240
Let x be (3 - 3) + 4/145. Let b = -8422/435 + x. Let l = -56909/10 + 5700. Calculate the common denominator of l and b.
30
Let n = 156329/17990 - -321/514. Let c = -8909/840 + n. Let u = 526923/28 + -18815. What is the common denominator of u and c?
168
Let d be (-2936 - -4)/((-4)/26). Let u = d + -838657/44. Find the common denominator of -9/28 and u.
308
Let y(t) = 561*t - 2. Let s be y(1). Let b = s - 2377. Let p = 5500/3 + b. Find the common denominator of 11/2 and p.
6
Find the common denominator of (-15)/(-18) - (-12455)/(-636) and 31/1812.
1812
Let s = 619 - 612. Suppose -s*v + 4 = -5*v. Calculate the smallest common multiple of v and 20.
20
Let c = 6 + -3. Suppose -4*k + 7*z + 25 = 4*z, 5*k + z - 17 = 0. Suppose 0 = k*h - 22*h + 144. What is the lowest common multiple of c and h?
24
Let d be (-6)/15*(0 + 445). Let l = -94 - d. Calculate the least common multiple of 120 and l.
840
Suppose 2*u - 4*u + 22 = 0. Suppose -u = -s + 3. Suppose 65*h - 47 = 343. What is the smallest common multiple of h and s?
42
Let p(s) = -4*s**2 + 7*s - 9. Let t be p(3). Let q be ((-6)/(-8))/(2/t). Find the common denominator of 2/20*408/q and 29/3.
15
Let d be (-103715)/60 - (-6)/(-27). Let u = d - -1731. Calculate the common denominator of u and -27/40.
360
Calculate the common denominator of (-10)/672*760/(-38) and 101/2.
84
Let r = 9124877 + -71393037529/7824. What is the common denominator of 25/18 and r?
23472
Let a = -60688 - -47336597/780. What is the common denominator of -54/115 and a?
17940
Suppose -1340*m = -1346*m - 90. Let b(r) = -8*r - 72. What is the lowest common multiple of 48 and b(m)?
48
Suppose 5*r - 11 - 39 = 0. Find the common denominator of 76/160*6 - r/(-25) and 33/4.
4
Let t = -83 - -81. Let s be (-3 - t)*((-3)/3 + 4). What is the lowest common multiple of (50/(-15))/5*s and 5?
10
Let o(v) = 4*v**2 - 320*v + 1796. Suppose -52 = t - 158. Calculate the smallest common multiple of t and o(6).
1060
Let g(l) = 18*l - 22*l + 33 + 3*l**2 + 15*l + 3*l. Suppose -3*c + 4*c - 15 = 3*i, 5*c + 2*i - 24 = 