77071/(-72). Let f = 26943 + u. Find the common denominator of f and -127/6.
24
Let g = 37 + -29. Suppose -g = -6*p + 4. Find the common denominator of 41/8 and 198/28*-14*p/64.
32
Let s be 11/(-10)*((-548)/80 + 7). Let p = -11707/4200 + s. What is the common denominator of p and 13/90?
630
Let k(w) = 11*w**2 - 26*w - 147. What is the lowest common multiple of 882 and k(-11)?
4410
Let v = -14 - -36. What is the least common multiple of (-1160)/(-35) - (6 - 288/42) and v?
374
What is the lowest common multiple of 28 and (-460496)/(-255) + -1 + 6 + (-73)/15?
3612
Let p(x) = -9*x + 8. Let v(d) = -36*d + 33. Let o(m) = -21*p(m) + 5*v(m). Let a = 174 - 114. Calculate the smallest common multiple of o(3) and a.
120
Let w be (13/11739)/((-22)/21144). Let v = w - 8/301. What is the common denominator of (18/33)/(-6)*15/3 and v?
11
Let j = -143507/36 - -3986. Find the common denominator of j and -61/44.
396
Suppose 4*c = -6*c + 150. Suppose -c = -8*v + 1. What is the lowest common multiple of 7 and v?
14
Suppose 0 = -6*b + 3*b + 18. Let f = 244 + -163. Suppose c - f = -2*s - 4*c, 2*s - 63 = c. What is the smallest common multiple of b and s?
66
Let y = 144 + -65. Suppose 53*a + 10902 = -132*a + 27*a. Let l = y + a. What is the lowest common multiple of l and 34?
170
Let u = -7867/12507 - 63/758. Calculate the common denominator of u and 909/(-1944)*(-6 - -2).
594
Let h be (34/39352)/(2 + 15/(-10)). Let m = -420291/1259264 + h. Find the common denominator of -71/22 and m.
2816
Let o be (8/(-10))/((-5)/(-100)). Let a = -647/20 + 157/4. Calculate the common denominator of a and 181/(-4) + (-4)/o.
10
Suppose -5*p + f + 112 + 31 = 0, -5*f - 15 = 0. Suppose 5*a = 15, p*j + 3*a - 21 = 26*j. Calculate the smallest common multiple of 18 and j.
18
Let q = -2091473/111 - -18842. Find the common denominator of 3/592 and q.
1776
Let s = 66395220529/4058187 + 190/193247. Let w = s + -16365. What is the common denominator of w and 68/87?
609
Let w = 5 - -279. Let d = w + -257. Let x(h) = h**2 - 1. Calculate the least common multiple of x(-4) and d.
135
Let d = -1390/9 + 147. Calculate the common denominator of d and ((-170)/42)/((-240)/(-280)).
18
Let o = -50/121 + 6857/11616. Find the common denominator of -109/1476 and o.
11808
Let o(b) = 367*b**2 - 5*b - 1. Let a be o(-2). Let k = a + -52. Calculate the common denominator of 19/k*970/4 and -121/12.
60
Let l be (109/(-15))/(2/36). Let h = l + 1712/15. Find the common denominator of 192/21 - (26 + -12) and h.
21
Find the common denominator of (-6)/(-3012)*-414 + (3 - 2) and 53/4.
1004
Let k = -7677401085755 + 3955182072151807649/515172. Let j = k + -2/18399. Calculate the common denominator of 53/40 and j.
280
What is the common denominator of 37/22 and (525/926520)/(340/432)?
412522
Suppose -10*v - 194 + 204 = 0. Find the common denominator of 54/126 - (v + 359/70) and 73/172.
860
Let i = -98 + 89. Let k = i + 42. Calculate the lowest common multiple of k and -3 + 2 + 75/3.
264
Let j(t) = -109*t + 1539. Let y(n) = 21*n - 308. Let f(u) = -2*j(u) - 11*y(u). What is the lowest common multiple of f(22) and 6?
24
Suppose 5*g = 3*s - 346, -4*s = -2*g - 0*g - 452. Let j = -109 + s. Calculate the lowest common multiple of 141 and j.
141
Let k(o) = -2*o + 42. Let d be k(19). Suppose 4*h - r = -216 + 925, d*h - 2*r = 706. What is the least common multiple of h and 9?
1602
Let w be (3 - 1)/((-38)/(-1235)). What is the least common multiple of 18*(w/15 + -4) and 220?
660
Suppose 3 + 24 = 3*a - 4*h, 4*h = a - 17. Suppose -a*o = 5, -3*o - 18 = -5*k - 5*o. Suppose -8 = -p + 3. What is the least common multiple of p and k?
44
Suppose 2*p - 4740 = -13*p. Let q = p - 301. What is the least common multiple of q and 42?
210
What is the common denominator of (2/(-5))/((-2940)/3350) and -1 + 289/70 + 153/(-765)?
294
Let w = 421163/1195656 - 15/14234. Find the common denominator of 107/96 and w.
672
What is the common denominator of (-857)/42 - ((-152)/(-28) + -5) and ((-40)/(-28))/5 - 10975/(-6300)?
36
Let k = 14 + -11. Calculate the common denominator of (-564)/144*k/(-2) and 12/(-54) + (-1070)/180.
24
Let u = -201 - -206. Suppose -2*x = 0, -i - 2*x + 6*x = 18. What is the least common multiple of (-99)/i - (-1)/(-2) and u?
5
Suppose -16 - 12 = -4*u. Suppose 0 = -5*h + j - 176 + 197, -4*h - 5*j = -40. Suppose -6*z + u*z = h. What is the lowest common multiple of z and 1?
5
Let x(m) = 4*m**2 + 52*m + 64. Calculate the lowest common multiple of x(-18) and 2.
424
Let g(b) = 3*b + 22. Let n be g(-14). Let z = -13 - n. Suppose z*w - 130 = 2*w. What is the smallest common multiple of 18 and w?
234
Suppose 3*r - 149 = -2*m, 0*r - 2*m = r - 51. Suppose -554 = 100*g - 3354. Calculate the least common multiple of r and g.
196
Let r = -1020245/21 - -48573. Let k = 2981/210 + r. Calculate the common denominator of k and 33/106.
530
Let q be 2/(-2 + 2 + 2/3). Suppose b - q*r + 6 = -6*r, 3*r = -15. What is the least common multiple of b and 123?
369
Let u(c) = -3*c + 3. Let q be -1 - (2/(-2))/(4/(-16)). Calculate the least common multiple of 22 and u(q).
198
Let p be 8*(-5 + (-135)/(-10)). Suppose 71*v - 135 = p*v. What is the common denominator of 89/18 and v/(-56)*6 + 4?
252
Let a(s) = -s**2 + 3*s + 16. Let w be a(6). Calculate the common denominator of w/34*65 - -4 and 4 + -5 + (-64)/(-6).
51
What is the smallest common multiple of -6*4/(-10)*(-285)/(-114) and 5?
30
Let q = -51 + 102. Suppose -2*u + 30 = -2*m, -5*m - q = 4*u - 7*u. What is the least common multiple of 17 and u?
204
Let p = -2/524843 - -1761897961/2624215. Let g be 5827/4*(-56)/(-120). Let f = g - p. Find the common denominator of -139/36 and f.
36
Suppose 4*h = -3*c + 414 + 2495, 4*c + 2916 = 4*h. What is the lowest common multiple of 308 and h?
8008
Let v = -732859/48 - -15267. What is the common denominator of 29/184 and v?
1104
Let b be ((-14)/168)/((-7)/1989). Let w = 185/7 - b. What is the common denominator of w and (-15)/18 + 425/204 - 484/128?
32
Let q = 14925 - 1567127/105. Find the common denominator of -26/2695 and q.
8085
Let c = 255503/20 + -12780. Let t = 20569 + -740531/36. Calculate the common denominator of c and t.
180
Let w = -1256 + 7615/6. Let q = 8967729/533 + -16825. Let z = -1841/533 - q. Calculate the common denominator of w and z.
78
Find the common denominator of -5 - (150/(-980))/(((-272)/(-2310))/4) and -59/98.
3332
Suppose -2*a = -3*a + 5. Let b(m) = 53*m + 1954. Calculate the smallest common multiple of a and b(-36).
230
Let c be 2/((-5)/2 + 2). Let g(f) = -5*f + 2. Suppose 0 = -36*t - 5 + 581. What is the smallest common multiple of g(c) and t?
176
Let g be ((-33749620)/(-3))/2 - 1/(-3). Let i = g + -84326332/15. Let w = -3179 + i. Find the common denominator of w and 28/9.
45
Suppose -v = 12 - 42. Let g be 3/(-12) + v*9/24. Calculate the common denominator of -22/7 and (32/g - 3)/(1/30).
77
Calculate the common denominator of (-664)/(-336)*28/(-264) and 58/297.
1188
Let b(g) be the third derivative of 11*g**4/24 - 23*g**3/6 + 67*g**2. Suppose d = -4 + 16. What is the least common multiple of b(3) and d?
60
Let p(u) = -2*u**2 + 9*u + 51. Let y = 154 + 11. Suppose 7*z = 12*z - y. Calculate the smallest common multiple of p(-3) and z.
66
Let u = 1181/5 + -52039/220. Calculate the common denominator of -97/3424 and u.
37664
Suppose 131 = -8*w - 61. Let l(u) = -u**3 - 24*u**2 - u + 32. Calculate the least common multiple of l(w) and 5.
280
Let u = 7587 + -7582. What is the least common multiple of u and 77?
385
Let b(n) = -7*n**2 - 16*n + 18. Let a be b(-10). Let g = -437 - a. What is the lowest common multiple of 11 and g?
935
What is the common denominator of (-9562)/11088 - (10 + -5 + -6) and -61/880?
7920
Let a be -2*(-2 + (-81)/6). Suppose -2*t - 29 = -a. Calculate the smallest common multiple of 81 and t.
81
Calculate the lowest common multiple of 117*(23 + (-3861)/169) and 3532.
31788
Suppose 2*h = 17*x - 13*x + 14, 3*x + 10 = h. What is the lowest common multiple of (3/x)/((-9)/180) and 20?
20
Let v(l) = 6*l**2 + l - 1. Let z be v(1). Let h be (4/24*4)/(1/z). Suppose -h*x = -2*x - 244. What is the least common multiple of x and 4?
244
Suppose -4*w = 5*y + 7, 11 - 1 = -5*y - 5*w. Let o(a) = 58*a**2 - 15*a - 1. Calculate the lowest common mu