 Find the common denominator of ((-10)/36)/(y/(-66) - -2) and 12/6 - 1/(-72)*-158.
36
Let t = 815/57 - 485/76. Let q = -143/94 + 14093/10716. Find the common denominator of t and q.
228
Let p = 6 + 5. Suppose p*h + 4 = 10*h. Let a(c) = c**3 + 8*c**2 + 10*c + 6. Calculate the smallest common multiple of 3 and a(h).
30
Let u(w) = -68*w - 3. Let m be u(-12). Let h = m - 693. What is the least common multiple of 14 and h?
840
Suppose -3 = o + 2*o. Let h be (16/(-60))/((-8)/60). Calculate the smallest common multiple of (1 + o/h + 0)*24 and 3.
12
Let y = -377087/40 - -9429. Let a = 721/148 - -14/37. Calculate the common denominator of a and y.
40
Suppose -2103*u - 924 = -2136*u. What is the least common multiple of 1846 and u?
25844
Let s(p) be the first derivative of p**2/2 - p - 2. Calculate the smallest common multiple of s(6) and (45/(-6))/(-4 + (-35)/(-14)).
5
Suppose -11*n + 6843 = -2199. Suppose 978 = 25*i - n. Calculate the lowest common multiple of i and 84.
504
Suppose -j - 142 = -21*j - 22. What is the smallest common multiple of (-4)/2*-101*1 and j?
606
Calculate the common denominator of -13 and (12540/(-172))/11 - -7.
43
Suppose -g - 88 = -195. What is the common denominator of -41/54 and g/12 + 85/340?
54
Let x = 97164 - 97157. Suppose 0 = -4*y + 16, -y = 3*c - 25 - 69. Calculate the lowest common multiple of x and c.
210
Calculate the common denominator of 11/((-32868)/29097) - -10 and -109/56.
4648
Let x = -311179427/295260 + -2/73815. Let k = x + 1056. What is the common denominator of k and -61/110?
660
Suppose 4*d = 5*y - 10 - 5, 3*d = 0. What is the least common multiple of 202 and (-20 - -47)/(1/(2/y))?
1818
Let i = -9643/22 - -436. Let h be 128/18 - 7/(0 + 63). Find the common denominator of i and (2/(-12))/(-4*h/(-1071)).
88
Suppose 4*n + 3*v = 64, 477*v - 478*v = 3*n - 48. Calculate the lowest common multiple of (1/3)/(3/54) and n.
48
Let w be (-4)/2 + 2 - 23. Let y = 25 + w. Suppose -1 = i, -v + y*i = 3*v - 38. Calculate the least common multiple of 21 and v.
63
Let v(u) = u. Let r(y) = -6*y + 17. Let h(j) = r(j) + 5*v(j). Suppose g = 5*s - 15, 2*g + s = -0*s + 14. What is the least common multiple of g and h(13)?
20
Let x(m) = m**3 + 22*m**2 - 63*m - 26. What is the smallest common multiple of 26 and x(-20)?
26442
Suppose 17*o = 12*o + 125. What is the lowest common multiple of o and -4 - 3/(14/(-13) - -1)?
175
Let h be (-10)/(-72)*((-93)/(-45) + -2). Let a = h + 1169/108. Find the common denominator of a and -94/45.
90
Let u = -6642458/17 + 390732. Let d = -408 - -771/2. Calculate the common denominator of d and u.
34
Let g(j) = j**3 + 3*j**2 - 5*j - 3. Suppose 91 - 118 = -q + u, -2*u - 114 = -5*q. Calculate the lowest common multiple of q and g(-3).
60
Let g be ((-58)/(-53))/(11/23). Let w be (2/53)/(2/(-6 - -10)). Let t = g + w. Find the common denominator of t and 65/8.
88
Let s = -607/1674 + 21/31. What is the common denominator of s and 2 - 1*422/120?
540
Let p = 19 + 7. Let m = -25597 + 25615. Calculate the lowest common multiple of 3/6*p - -1 and m.
126
Suppose 2458 = 7*v - 713. Suppose -159 + v = 3*o. What is the smallest common multiple of 56 and o?
392
Let j(i) = 3*i + 33. Let z(d) = -d + 3. Let p be z(1). Suppose r + 0*c + 7 = p*c, -2*r = 4*c + 22. Calculate the least common multiple of j(r) and 18.
18
Let p(a) = a + 30026. Let h be p(0). Let z = -1861547/62 + h. What is the common denominator of 13/6 and z?
186
Let y be (-1)/((0 + -6)/36). What is the smallest common multiple of 20 and (-2 - 99/(-27)) + 2/y?
20
Suppose -47*z + 229007 = -97079. What is the least common multiple of z and 9?
62442
Let n(p) = -4*p**2 + 15*p + 5. Let g be n(4). Find the common denominator of ((-122)/16)/g*(-2)/(-4) and -41/8.
16
Let c = 13/20 - -41/60. Let d be 15/(-18)*298/30. Let j = d + c. What is the common denominator of 123/10 and j?
90
Suppose 4*z - 111 = 3*o, -3*z + 3*o + 92 = -o. Suppose -197 = -3*r + n, -73 = -2*r + n + 58. What is the lowest common multiple of z and r?
264
Suppose 4*b = -2*h + 92, 4*h = -2*b + 26 + 20. Suppose 6*a + 340 = b*a. What is the lowest common multiple of a and 278?
2780
Suppose -56 = -14*n + 18*n. Let h(u) = u**2 + 15*u + 35. Let z be h(n). Calculate the lowest common multiple of 24 and z/6*(-180)/(-21).
120
Let y(g) = 413*g**2 + 5*g. Let n be y(7). Let u = 405557/20 - n. Let w = 3761/505638 - -2/4013. Calculate the common denominator of u and w.
1260
Suppose -q + 4 = 4*p - 2, 2*q + 4*p - 8 = 0. Suppose 8*w = -w + 9. Calculate the least common multiple of q and w.
2
Calculate the common denominator of 4/(-14) + (-114)/(-7) + 2816/(-704) and -91/1712.
1712
Suppose -113*g + 1272 = 15*g - 264. Calculate the least common multiple of 7784 and g.
23352
Let d(f) be the first derivative of 7*f**2 + 181*f - 3. What is the least common multiple of d(-12) and 6?
78
Let i(n) = n**3 + 17*n**2 - 40*n - 33. Let x be i(-19). Suppose k - 120 = -x*k. What is the smallest common multiple of k and 7?
140
Calculate the common denominator of 89/1554 and ((-54)/405)/(24/590).
4662
Find the common denominator of 3/73 and (-6467)/(-4350) + 4/(-24).
1825
Let r(f) = -2*f + 9. Calculate the least common multiple of -1 + 25/(75/171) and r(-20).
392
Suppose 5*d = 8 + 12, 0 = -j + 5*d - 33. Find the common denominator of j and (-2673)/(-154) + (-8)/(-7).
2
Calculate the common denominator of ((-467038)/(-1980))/71 - (-1)/(-10) and -71/3.
9
Suppose 13*w - 10*w - 29252 = -5*f, -2*w - 2 = 0. Let g = 234121/40 - f. Let i = -546 - -2713/5. What is the common denominator of g and i?
40
Let u = 1572 - 1041. Suppose 5*z = -5*c + 755, -4*z + 3*c = -u - 94. What is the least common multiple of 33 and z?
462
Suppose -71 = -5*g + 129. Suppose -f - 5*p - 4 + g = 0, -79 = -2*f - 3*p. Let h = -286/7 + f. Find the common denominator of 49/6 and h.
42
What is the lowest common multiple of (4/(-6))/((-466)/2097) and 158?
474
Suppose 2*l - 3 = l. Let j = -243 + 279. Suppose -2*p - 5*d = -7*d - 18, 4*p - j = d. Calculate the least common multiple of p and l.
9
Suppose -1792 = 2*o - 18*o. Calculate the smallest common multiple of 790/65 - (o/52 - 2) and 32.
96
Suppose 0 = 9*k - 400 + 184. Calculate the common denominator of -55/12 and (2/(k/(-1251)))/((-36)/8).
12
Let j = 26115/8 - 15904547/4872. What is the common denominator of 23/957 and j?
6699
Suppose 0 = n + 366 - 370. Suppose 637 = n*f - q, -145 = -f + 3*q + 2*q. Calculate the lowest common multiple of 88 and f.
1760
Let i(q) = -225*q - 1229. Let h(m) = 4*m**2 + 3*m + 6. Calculate the least common multiple of h(-6) and i(-6).
1452
Let m be 6 + -7 - (-3 + -38). Let d = -34 + m. Suppose -2*x + 4*j + 26 = 0, -36 = 4*j - 16. Calculate the least common multiple of x and d.
6
Suppose -18*w + 2839 - 407 = -3832. Calculate the smallest common multiple of 204 and w.
5916
Suppose 3*i + 4*k + 32 = 0, 0 = -i + k - 6*k + 4. Let b(n) = -2*n - 28. Calculate the smallest common multiple of 28 and b(i).
28
Let l = 47160718117 + -8495343118635825/180136. Let b = l - -1/7832. What is the common denominator of b and 149/12?
276
Suppose 0 = 3*v - h - 572, -3*v + 2*h = -h - 576. What is the lowest common multiple of v and 45?
1710
Let w = 8601 - 206465/24. What is the common denominator of 43/138 and w?
552
Let u be 0/(-33) - (-2)/8498. Let n = 310127/212450 + u. Find the common denominator of 151/90 and n.
450
Let k(s) = -8*s + 52. Let o(h) = 7*h - 51. Let v(g) = -3*k(g) - 4*o(g). What is the lowest common multiple of 11 and v(10)?
88
Let t = 3594637/121 - 29708. Calculate the common denominator of t and -19/33.
363
Let m(o) = o**2 + o - 40. Let p be m(20). Let t = -360 + p. What is the least common multiple of 20 and t?
20
Let h = 113 - 134. Calculate the smallest common multiple of (-1 - 14/h)*-81 and 75.
675
Suppose 0 = -0*p - 4*p - 388. Let a = p + 101. What is the smallest common multiple of a and 8?
8
Let g(n) = -70*n**3 + 2*n**2 + 8*n - 13. Let y = 41 + -37. Let k be g(y). Let a = -88609/20 - k. What is the common denominator of -63/16 and a?
80
Let c = -24749 + 24757. What is the smallest common multiple of c and 27168?
27168
Let s = -1427/30573 + 8/237. Find the common denominator of s and 19/21.
2709
Suppose -5*s + 5740 = -4*j, -11*j = 4*s - 8*j - 4561. Calculate the lowest common multiple of 