9. Let f = -1/1595 + -31893/11165. Calculate the common denominator of j and f.
56
Let j(m) = 1 + 3*m + 2 + 173*m**3 + 152*m**3. Let a be j(-3). Let d = -157993/18 - a. What is the common denominator of 109/22 and d?
198
Suppose 0 = -422*h + 420*h + 156. Calculate the least common multiple of 143 and h.
858
What is the common denominator of 89/4 and 0/2 - (-13)/(-702)*303?
36
Suppose 0 = 5*a + 10, 2*r = 4*r - a - 16. Let c(t) = -t**2 + 11*t - 31. Let d be c(7). What is the least common multiple of r and (-3)/(-9) + (-29)/d?
70
Find the common denominator of 8380/(-480) - (0 - 12) and 145/168.
168
Let k = 159 + -143. What is the smallest common multiple of 20 and k?
80
Let w = 19 - 9. Suppose 0 = o - 11 - w. Calculate the smallest common multiple of 10 and o.
210
Let t(p) be the second derivative of p**5/20 - p**4/2 + 9*p**2/2 + 17*p. What is the least common multiple of 6 and t(6)?
18
Let o = -108 - -174. Suppose 7*j + o = j. Calculate the least common multiple of j + 15 + 1 + 9 and 2.
14
Calculate the common denominator of 489/(-21)*((-17)/18 + 1) and 151/12.
252
Let c be ((-92683)/(-31144))/(89406/8). Let g = -2/84439 + c. Let w = -97892/22671 - g. Calculate the common denominator of -47/20 and w.
220
Suppose -2*n = -15 - 369. Calculate the least common multiple of n and 96.
192
Let d = 292 + -193. Calculate the common denominator of (-22)/d + 1082/(-720) and -29/50.
200
Let r = -378 - -380. Calculate the lowest common multiple of r and 1440.
1440
Suppose -5*g = -2*g + 3. What is the common denominator of -95/12 and -3 - g*(-3)/(-12)?
12
Let a(b) = b**2 + 9*b + 14. Let z be a(-6). Let f = 967 - 1981/2. Find the common denominator of f and z + 8*2/9.
18
Suppose 4*a - 84 - 67 = 3*v, 3*a - 3*v - 111 = 0. What is the smallest common multiple of 35 and a?
280
Find the common denominator of -17/24 and (18/(-8))/(14 - (-2604)/(-189)).
24
Let s = -374/1607 + 281099/565664. What is the common denominator of s and -65/22?
352
Let j(r) = 4*r**2 - r + 1. Let q be j(1). Suppose -q*d = -14*d + 360. What is the least common multiple of d and 9?
36
Let f = -465825/322 + 10142/7. Let o = -4413097/1771000 - -3/154000. Let g = f - o. What is the common denominator of -31/2 and g?
16
Suppose -272 = -74*p + 57*p. What is the least common multiple of p and (-318)/(-27) - 2/(-9)?
48
Let i(t) = -4*t - 17. Let y be i(6). Let j = -155/3 - y. Find the common denominator of (-2)/5 - 258/(-70) and j.
21
Let w(d) = 34*d - 344. Suppose 5*c - 180 = 3*t, 5*c - 175 = t + t. What is the least common multiple of w(11) and c?
330
Let f = -41 - -21. What is the common denominator of (-249)/(-8)*(f/(-6))/5 and (594/20)/3 - 1?
20
Suppose f + 122 = 134. Let p(m) = -m**2 - 4*m + 2. Calculate the smallest common multiple of p(-4) and f.
12
Let r = 542 - 344. What is the lowest common multiple of r and 18?
198
Let i(f) = 4*f**3 - f**2 - 2*f. Let h be i(2). Let x = -370 + 373. Calculate the common denominator of (x/4)/(h/(-368)) and -67/6.
6
Let s = 98 - 100. Suppose 0 = 5*h - 3*z - 100, 2*z = -0*h + 5*h - 100. Let q = s + h. What is the smallest common multiple of 16 and q?
144
Let h = 434777/20 + -21745. Let m = -87 + -204. Let l = -1699/6 - m. Find the common denominator of h and l.
60
Let h(r) = -r**2 + 7*r + 2. Let u be h(10). Let k = -19 - u. Suppose -6*c + 5 = -13. Calculate the smallest common multiple of k and c.
9
Suppose 3*p - p = 3*f + 47, -5*f = p - 17. Suppose 2*d - 135 = -2*s - 1, -274 = -4*d - 2*s. Calculate the least common multiple of p and d.
770
Let f = -40337/8 + 5034. Suppose -a - 4 = -2*a. Find the common denominator of (-4 - -2)/(a/(-94)) and f.
8
Find the common denominator of 16/7 and (7 + (-2826)/396)/(6/49).
308
Suppose 0 = -k - 6 + 1. What is the lowest common multiple of (-6)/(-10) - 57/k and 26?
156
Let o = -13 - -27. Suppose -l + o - 8 = 0. Let j(y) = y**2 - 4*y - 1. What is the lowest common multiple of l and j(6)?
66
Let h = -478 - -2356/5. Let a(x) = -x**3 + 3*x**2 + 6*x + 11. Let v be a(-3). Find the common denominator of h and 8/20 + v/(-55).
55
Let m = 812 + -2497/3. Find the common denominator of m and -53/27.
27
Suppose 323 = 7*h - 307. Find the common denominator of -27/20 and ((-124)/h)/((-7)/(-63)*3).
60
Let l(d) = d**2 - 8*d + 1. Let i(p) = -2*p + 27 - 38 + 3*p + p**2. Let n be i(-5). Calculate the least common multiple of 6 and l(n).
30
Let k = -50 + 47. What is the common denominator of 41/30 and 1/(k + 0) - 65/(-12)?
60
Suppose 4*x + 4*f + 184 = 8*f, -4*x + f - 193 = 0. Calculate the common denominator of x/(-2) + -2 + 2 and -93/4.
4
Let z(j) = j**2 + 5*j - 6. What is the lowest common multiple of z(2) and 33?
264
Suppose 18 - 8 = 2*x. Find the common denominator of 39/16 and -4 + (138/(-96))/((-1)/x).
16
Let c = -159425/18 - -8860. Calculate the common denominator of (560/448 + 1010/(-112))*(-4)/(-10) and c.
252
Let g be 2/(1564/1558) + -2. Let j = 22934/17595 - g. Find the common denominator of j and -79/50.
450
Let n = 384/265 - 48291/19610. Find the common denominator of -79/14 and n.
518
Let b(w) = 121*w**2 + 2*w + 10. Let j be b(-5). What is the common denominator of (6/15)/((-60)/j) and 65/12?
12
Suppose -u = -6*u + 2*q + 1186, 0 = 4*u - 3*q - 946. Calculate the least common multiple of u/17 - (-5 + 1) and 9.
18
What is the lowest common multiple of 796/22 - 2/11 and 32?
288
What is the common denominator of 2/((-168)/194)*54/90 and -13/220?
1540
Let a be 39/54*(-43314)/(-4). Let b = 7813 - a. Calculate the common denominator of -65/14 and b.
84
Let r(y) = 23*y**2 + 5*y - 4. Let f be r(1). What is the common denominator of -43/30 and (618/(f/4))/(-3*10)?
30
Suppose t + 4*t + 2 = -y, -4*y + 14 = -2*t. Suppose 2*d = -v - y*d + 11, 13 = 3*v - 5*d. What is the least common multiple of v and 18?
18
What is the common denominator of -73/180 and ((-17303)/1320)/(-11) - 0?
360
Let s = -64 + 66. Suppose h - 18 = -2*z, s*h - 5*z + 6 - 24 = 0. What is the lowest common multiple of 36 and h?
252
What is the least common multiple of 16 and (-7290)/(-450) + (-1)/5?
16
Let r(k) be the third derivative of k**4/2 - k**3/3 + 4*k**2. Calculate the lowest common multiple of 10 and r(1).
10
Let f = -4 + 6. Let i = 1/118 - -1171/1062. Find the common denominator of i and f/(-8) + 159/(-36).
9
Let n = -113843 - -16393477/144. Find the common denominator of n and -143/24.
144
Suppose -f = 2*w + 11 - 39, -3*w + 5*f = -16. Suppose -4*q = -q - w. Let i = 2 + 10. What is the least common multiple of q and i?
12
Let v(u) = -u - 6. Let q(r) = -r - 3. Let p be q(4). Calculate the smallest common multiple of v(p) and 2.
2
Calculate the common denominator of 955/(-175) - 4*4/40 and (-25)/(-2) + (-3)/9.
42
Let i = 26/15 - 113/60. Let v be 5/(2/(-2))*(-352)/20. What is the common denominator of i and (-6 - 249/(-40))/(2/v)?
20
Suppose 2*q = 4*q - 13174. Let a = q - 39421/6. Find the common denominator of -61/10 and a.
30
Let u = -305 - -141. Let a = 399/2 + u. Find the common denominator of 113/6 and a.
6
Suppose -i = -3*l + 15, -2 = -3*i + 7. Suppose 5*k - 7*k + 22 = 0. Let d(r) = -r**2 + 13*r - 14. What is the lowest common multiple of d(k) and l?
24
Suppose -20*v = -17*v - 288. Calculate the least common multiple of v and 18.
288
Suppose -5*u + 364 = 8*u. Calculate the common denominator of -19/8 and ((-216)/u - -3)*42/20.
40
Let c(j) = -8 + 12*j - j**2 - j**2 + 32 + 3*j**2. Calculate the least common multiple of 7 and c(-11).
91
Suppose -12*v + 6*v = 24. Calculate the common denominator of 1 - (396/(-40) - v) and 55/2.
10
What is the least common multiple of (-3)/(-11) + (-49164)/(-748) and 44?
132
Suppose 9 + 15 = 4*x. What is the common denominator of -1*(-4)/48*-134 and 217/60 + x/(-9)?
60
What is the common denominator of 46/27 and (((-12)/(-27))/(-2))/((-18)/(-32))?
81
Let g be 2/4 - (-64055)/90. Let z = g + -716. Calculate the common denominator of 1/(-4) + 199/12 and z.
9
Let w = -22217/10 + 6656/3. Calculate the common denominator of 11/48 and w.
240
Let p = 46 + -44. Suppose -t = -6 - 2. Let w(g) = g**2 - 9*g + 12. Calculate the lowest common multiple of p and w(t).
4
Let q = -61620/11 - -5599. Let x be 1 - 0 - 308367/(-48). Let t = x - 6422. Find the common denominator of q and t.
176
Let p(v) = -23*v**3 + 2*v**2 + 4*v + 2. Let u be p(-1). Let l = 