*k + 154 = 0, 4*p - 35 = 5*p - m*k. What is the common denominator of 101/14 and ((-3)/p)/(2*16/1860)?
112
Let w(g) = -19*g**2 + 6*g + 10. Suppose -2*l = 2*l - 8, -5*l = -z - 5. Let a be w(z). Let n = a + 833/2. Calculate the common denominator of 85/46 and n.
46
Let f = 30633133/700 + -87523/2. What is the common denominator of -119/108 and f?
18900
Let g = -2900532289/2046 - -1417660. Find the common denominator of 103/4650 and g.
51150
Suppose 12 + 6 = -9*h. Let d = h - -3. Find the common denominator of 1/6 and (8/352)/(d/30).
66
Let u = -20417 + 612401/30. Calculate the common denominator of 61/117 and u.
1170
Suppose -4269 = -3*r - 3891. Calculate the smallest common multiple of 238 and r.
2142
Suppose 16*j - 20*j = -12. Suppose 5*h + 5*n = 305, n = h + j*n - 64. Suppose -h = -z - 2. Calculate the least common multiple of z and 22.
616
Let v be 1434838/170240 + 3/(-6). Let s be (-180)/200*(87558/21888 - 4). Let h = s - v. Find the common denominator of 49/18 and h.
126
Let z = -3953 - -4030. What is the smallest common multiple of z and ((-30)/(-35))/(15/7 - 2)?
462
Let d(r) = -249*r - 2276. What is the smallest common multiple of d(-10) and 26?
2782
Let p = -695 - -713. Let i = -20 + 20. Let s(g) = -g**3 + g**2 - g + 8. What is the lowest common multiple of s(i) and p?
72
Let n(p) = 5457*p - 658. Calculate the least common multiple of 20 and n(2).
51280
Let z = -1807850357/5922 - 148297/846. Let c = z + 47111529/154. Let s = c - 3298/7. Find the common denominator of s and -79/10.
110
Let i = -4741 + 99538/21. Find the common denominator of i and ((-258)/(-378))/(1*(-84)/98).
378
Suppose -3*m = 4*d + 10 + 3, -d - 5*m - 16 = 0. What is the smallest common multiple of 18 and ((-60)/100)/(d/45)?
54
Let t(a) = 2*a + 1. Let c(q) = -25*q - 11. Let w be c(-1). Suppose w*j - 315 = -j. Calculate the least common multiple of t(7) and j.
105
Let i = -2/91 - 9/182. Suppose 0 = -13*j + 71 - 461. Find the common denominator of i and ((-25)/j - 3)/((-14)/(-54)).
14
Suppose -4*u + 4 = -2*u. Suppose 2*z = -3*k + 158, 4*k - u*k + z - 105 = 0. What is the lowest common multiple of k and 11?
572
What is the common denominator of 50/1141 and 2510/(-4200) - 5/(375/(-10))?
4564
Let b = -698 + 31402/45. Calculate the common denominator of ((-100)/(-72))/(4/(-30)) and b.
180
Calculate the common denominator of -2 - (-3 - 6) - 182585/25935 and -4/9.
1197
Let a be (-122)/6 + 1*5/15. Let z(c) = c**3 + 20*c**2 - 3*c - 23. Let l be z(a). Let q = -36 + l. What is the smallest common multiple of q and 1?
1
Let m = 980 + -8798/9. Let y = -8 - -8. What is the common denominator of (-52)/9 + (y - 0) and m?
9
Suppose -51 = 8*r - 5*r. Let f = -21 - r. What is the common denominator of ((-58)/f)/((-4)/((-4)/(-1))) and -95/18?
18
Let b = 87747747 + -3070563277/35. Let l = 17369 - b. Calculate the common denominator of 31/10 and l.
70
Let g(u) = -17*u**2 + 4*u - 28. Let c(r) = 24*r**2 - 6*r + 42. Let z(d) = 5*c(d) + 7*g(d). What is the lowest common multiple of 3 and z(-9)?
339
Suppose m - 2 = -s, 3*s + 28 = 4*m + 2*s. Let h be (-14)/56 - (-65)/4. Calculate the common denominator of -28/27 and ((-26)/(-12))/(m/h).
27
Suppose 3*m = 591*c - 587*c + 2, -2*m = -4*c + 4. Suppose -3 = -t + 8. Calculate the smallest common multiple of m and t.
66
Let f = -12900 + 13000. Suppose -2*a + 10 = -a. What is the smallest common multiple of f and a?
100
Let p = 50/987 - -52259/78960. Calculate the common denominator of p and (-3216)/(-1340)*((-106)/16 - -1).
80
Suppose 0 = 4*d - 57 - 23. Let h be ((-18194)/(-4))/11 + 10/4. Let t = 423 - h. Calculate the least common multiple of d and t.
140
Let f(v) = -v + 27. Let x(s) = 10*s**3 + 3*s**2 + s + 2. Let r be x(-1). What is the least common multiple of 6 and f(r)?
66
Let m be ((-722)/(-39))/(-4 - (-120)/27). Let h = m - 28/13. Let t = 19329/4984 + -2/623. Calculate the common denominator of h and t.
8
Let i(b) = -8*b - 450. Calculate the least common multiple of i(-62) and 11.
506
Let h be 3 - 3 - (-13 + 2 + 1). Suppose -h*d + 29 + 121 = 0. Suppose -3*l = 15, 4*z + 6*l = l + d. Calculate the smallest common multiple of z and 11.
110
Let a(k) = -3*k**2 + 21*k + 8. Let v(t) = 3 - 2*t - 7 + 11*t + 2*t. Let g be v(1). What is the least common multiple of 38 and a(g)?
152
Let c = -19371983/470 + 41217. Calculate the common denominator of c and 81/188.
940
Let t = -2359 + 28381/12. Calculate the common denominator of t and 30/(-45)*(1 - 123/(-120)).
60
Let v = -40388 - -40410. Calculate the smallest common multiple of 8808 and v.
96888
Let k be (1622/7)/(-10 + 11). Let u = -123223/532 + k. What is the common denominator of -29/12 and u?
228
Let o = -63551/121660 - 1/2765. What is the common denominator of -65/336 and o?
3696
Let a(c) = 4*c**2 - 15 + 32*c - 4*c**2 - 5*c - 2*c**2. Let u = -15/77 + -5963/616. Calculate the common denominator of a(13) and u.
8
Let n = -1309 - -31441/24. Calculate the common denominator of n and 10/(-75) + (-439)/(-105).
168
Suppose -5*x = 5*i - 1965 - 4035, -3*x = 2*i - 3596. Calculate the common denominator of 1/2*46/2 and x/672 + (-4 - 93/(-21)).
24
Let g(s) = -s**3 - 18*s**2 - 5*s - 48. Calculate the smallest common multiple of 8 and g(-19).
408
Let h = 1911/341 - 278/31. Let w = 2/34605067 - 883432758227/48170253264. Let i = w - -3/464. What is the common denominator of i and h?
33
Calculate the common denominator of 53/(-1554) + (-4)/(-192)*-8 and 36/77.
2849
Suppose -h - 1039 = -2*d, 2*h + 2*h = -d - 4120. Let j = h - -1457. What is the common denominator of (6/(-20))/((-36)/j) and -35/22?
220
Suppose 0 = -14*u + 3228 + 1644. What is the lowest common multiple of u and 111?
12876
Let q be 0 - 4 - -2 - (5 - 0). Let d(j) = j**2 + 4*j + 17. Let n be d(q). Let t = 54 - n. Calculate the lowest common multiple of 172 and t.
688
Let p(z) = -3*z - 8. Let y = 51 + -49. Suppose -5*v = 2*k + 25, y*v + 3*k = -9 - 12. Calculate the least common multiple of 8 and p(v).
8
Let p(c) = -85*c - 2134. Calculate the least common multiple of p(-26) and 20.
380
Suppose -76*a + 1518 = -7*a. Calculate the least common multiple of a and 198.
198
Calculate the common denominator of (2/(-140))/((-1516)/(-190) - 8) and (-21)/(-16) - -4*1.
112
Let b = 22883220583/2265 - 10102966. Let d = b - 42/151. What is the common denominator of d and 2856/990 + (-8)/20?
165
Suppose 5*f - 23 + 2688 = 0. Let v = f - -2109/4. What is the common denominator of 73/20 and v?
20
Suppose 60 = -9*s + 13*s. Calculate the least common multiple of -3*((-155)/s + 5) and 96.
96
Let x = 66 - 73. What is the common denominator of -49/30 and (-278)/(-105) + (x - (-306)/42)?
30
Let f(u) = -u**3 - 7*u**2 + 10*u + 218. What is the lowest common multiple of 8 and f(-13)?
4408
Let r = -1452799988608/31339 + 1715092182/37. Let x = r - -26116/7. What is the common denominator of x and 133/110?
1210
Let r = -33620/217 + 1087/7. Find the common denominator of -37/1178 and r.
1178
Let d = -13313 - -199604/15. What is the common denominator of ((-4)/7 + (-18496)/(-15708))*1 and d?
165
Let s = 111 + -108. Suppose 12*o + s*b - 324 = 9*o, 320 = 3*o + b. Calculate the common denominator of (-15)/(-12)*2/(-45)*o and -9/43.
387
Let f = -83 - -47. What is the least common multiple of (12/(-10))/(f/600) and (6 + 1)*48/14?
120
Let u = -71908445/752 + 95623. Find the common denominator of 47/80 and u.
3760
Suppose 197*x = 214992 - 4793. Calculate the least common multiple of 3492 and x.
38412
Let m = -391839862/312599059 + 2204983853282758597/798303598109958. Let p = -2/425627 + m. Let f = -2754 + p. Find the common denominator of f and -115/14.
42
Suppose -1131 = -50*t - 231. What is the smallest common multiple of t and 3912?
11736
Let w = -11732 + 328389/28. Calculate the common denominator of w and (-33)/((-27951)/13112) + -15.
308
Suppose 3*f - 3*m = -9, -4*f + 2*f + 24 = 4*m. Suppose 52*v - 47*v = 90. Calculate the lowest common multiple of f and v.
18
Let i(z) = -73*z - 140. Let j be i(-2). What is the common denominator of -27/47 and j/15 - 1944/(-840)?
329
Let r = 70/7071 + -466051/3507216. Find the common denominator of r and -2 - (4 + 524/(-24)).
1488
Let h(v) = 407*v + 3513. Calculate the least common multiple of 1660 and h(-7).
3320
Suppose 6*r - 5*r + 5*t = -28, -4*r = -3*t 