Let m = 147 - 1596/11. Let r(p) = 6*p. Let h be r(6). What is the common denominator of (1*-3)/(42/h) and m?
77
Let r be -2 + 106/(-8156)*-154. Let b = r + 46843/36702. What is the common denominator of 95/22 and b?
198
Suppose 8 = 3*r - 4. Let j(o) = 2*o + 4. What is the least common multiple of j(6) and r?
16
Let h = -1/5259 - -436513/84144. What is the common denominator of 21/4 and h?
16
Let p = -22 + 48. Suppose 2*m = t + 21, t + p = -5*m + 68. Suppose 5 = 2*a - 9. Calculate the least common multiple of m and a.
63
Let d = 3 + 10. Calculate the least common multiple of 5 and d.
65
Suppose -2*k + 5*v + 69 = 0, 3*v + v = 2*k - 64. Let s be 4/((-8)/2) - -3. What is the smallest common multiple of -20*(1 + (-3)/s) and k?
110
Let f = 48 + -34. Let r be 20*(2 + -3)*-1. Suppose 0 = -3*g + r + 28. What is the smallest common multiple of g and f?
112
Suppose -2*y = 5*g + 1 - 2, -25 = -5*g. Let x = 20 + y. What is the lowest common multiple of x and 4?
8
Let h = 32 + -14. Calculate the least common multiple of 50 and h.
450
Suppose -3*k = -2*k - 14. Calculate the lowest common multiple of k and 2.
14
Let w be (-3)/(-6) - (-5049)/(-58). Let f be (-1)/2 - (-28741)/(-319). Let z = f - w. Find the common denominator of 31/18 and z.
198
Let f(s) = 92*s**2 + 1. Let u be f(1). Let y = u - 33. Find the common denominator of 35/12 and (1 - 0) + 273/y.
60
Let v = -2527/4 + 619. What is the common denominator of v and -53/4?
4
Suppose -2*v = -0*v - p - 101, 0 = 5*v - 4*p - 251. Suppose -2*u = 4*l - l - 42, -v = -4*l - u. Calculate the smallest common multiple of l and 10.
60
Find the common denominator of (-60 - -3)/((-90)/(-12)) and 54/(-20) + (2 - 3).
10
Let u(l) = -829*l - 4. Let b be u(-3). Let h = b - 22375/9. Calculate the common denominator of h and 421/28 - (-6)/(-21).
36
Let d = -49 - -59. What is the lowest common multiple of 18 and d?
90
Let k = 538 - 1451. Let u = -4616/5 - k. Find the common denominator of 43/11 and u.
55
Suppose 2*f - 18 = -5*c + 5, -2*c + 26 = 5*f. What is the lowest common multiple of 6 and f?
12
Suppose -5 = -c, -3*c - 267 = 4*a - 2*c. Find the common denominator of -2 - (-1 + a/(-10)) and -39/7.
35
Let y = 412111/24 - 17168. Calculate the common denominator of y and -113/6.
24
Let n = 6 - 4. Suppose 4 = 5*h - 1. Calculate the smallest common multiple of h + (n - -9) + 2 and 8.
56
Let y(b) = b**3 + 7*b**2 + 4*b + 8. Let l(q) = -q**2 - 7*q - 6. Let z be 1*((2 - -1) + -7). Calculate the smallest common multiple of y(-6) and l(z).
60
Let w(j) = 6*j. Let x be 0/(-1 - (-2 + -1)). Suppose x = -g + 3*k + 6, -14 = 2*g - 4*g + 4*k. What is the least common multiple of g and w(1)?
18
Let s(y) = 9*y + 16. Calculate the lowest common multiple of 10 and s(0).
80
Suppose -5 = -5*q + 5. Let v be q - ((-2)/(-2) + -5). Calculate the common denominator of 44/120 - 4/v and -85/6.
30
Calculate the common denominator of 57/2 and (-325)/90 + (-3)/((-9)/6).
18
Let y(s) = 3*s - 34. Let a(d) = -2*d - 2. What is the least common multiple of a(-5) and y(16)?
56
Let a be 2*(-5)/(10/(-3)). Suppose -100 = -a*y - 2*y. Calculate the least common multiple of 14 and y.
140
Let d be (-147)/18*29*-3. Let k = d - 728. Calculate the common denominator of 61/14 and k.
14
Suppose -4*i = -3*q + 13, 4*q - 16 = 8*q + 3*i. Let p = -2 - -4. What is the least common multiple of 7/((-1 - 0)/q) and p?
14
Let l be 314/5 - 8/(-40). Calculate the common denominator of 121/10 and (l/(-6))/((-6)/9).
20
Suppose -a + 26 = 5*z + 7, 2 = -2*a. Suppose -d = 4 - 6. What is the lowest common multiple of d and z?
4
Let k(i) = i**2 - i + 70786. Let f be k(0). Let r = -209339/3 + f. Let h = r - 982. Calculate the common denominator of h and -41/6.
6
Calculate the common denominator of ((-153)/(-66))/3 - -4 and 19/10.
110
Suppose -2 = -4*f + 6. Let o be -1 + f + (-9)/(-3). Suppose 0*j - o*j + 8 = 0. What is the lowest common multiple of j and 4?
4
Suppose -2*w + q = 6*q - 40, -2*q = 2*w - 28. What is the smallest common multiple of w and 30?
30
Let w = 893239969/18 - 49602285. Let j = w + -22150. Calculate the common denominator of 31/8 and j.
72
Let u = 1018313233/22 - 46278047. Let h = -8920 + u. What is the common denominator of 79/10 and h?
110
Let k(n) = -10*n. Let o be k(-2). Let l = o - 17. What is the smallest common multiple of 8 and l?
24
Suppose -4*n - 1620 = -5*u, -2*n = u - 189 - 135. Let j = -9 + u. Find the common denominator of 41/9 and (-406)/j*(-5)/(-1).
9
Let k = -27 - -36. What is the least common multiple of 7 and k?
63
Let j be -344 + (2 + -1 - 0). Let x = j + 871. Let k = -4219/8 + x. Find the common denominator of -65/4 and k.
8
Let l(y) = -y**3 + 8*y**2 + 10*y + 3. Let b be l(9). Let t = -16795/1166 + 602/53. Find the common denominator of t and 3/b + 147/(-36).
66
Let q(f) = f**2 + 5*f + 8. Let m be q(-6). Calculate the common denominator of 119/10 and (m/10)/((-44)/(-30)).
110
Let g = 4249/475115 - 6/835. Let w = g + -54057/1138. Find the common denominator of 57/16 and w.
16
Calculate the common denominator of ((-67)/5 - -3) + (-2)/10 and 31/5.
5
Let z = 8644/3 - 492832/171. Let c = z - -1/342. Find the common denominator of -17/4 and c.
36
Let s(z) = 9*z**2 - 3*z. What is the least common multiple of s(2) and 18?
90
Let l = -297 + 1227/4. What is the common denominator of l and -85/4?
4
Let u = -78 + 122. Find the common denominator of 1/2 and (-961)/(-22) + (-8)/u.
2
Suppose 3*t = 7*t + 16. What is the common denominator of (-6)/2 - (-58)/t and -85/2?
2
Suppose -1 = -5*r + 14, -5*r = 5*h - 75. What is the smallest common multiple of h and 4?
12
Let v = -108 - -119. What is the smallest common multiple of 5 and v?
55
Let w be 232/(-6) - (8 + -7). Let r = w + 1765/42. What is the common denominator of 91/22 and r?
154
Find the common denominator of (2/(-36))/((12/(-3))/548) and 271/12 + 2/3.
36
Let s be 6/24 - 143/(-4). Find the common denominator of (-2 + 85/s)*10 and (170/(-12))/((-33)/(-9)).
198
Suppose 116 = 5*v - 3*g, g + 45 = 3*v - 27. Calculate the lowest common multiple of 10 and v.
50
Suppose 0 = 8*g - 11*g + 6. Find the common denominator of -137/6 and 2/36*291/g.
12
Let b = -15929 + 80389/5. Let s = b + -1003/10. Find the common denominator of s and 77/(-20) + (-2)/8.
10
Suppose 2*d = 5*d + 15. Find the common denominator of 57/7 and d/(-55)*53/(-1).
77
Let o = -104 - -111. What is the least common multiple of o and 1?
7
Let h(d) = d**3 - 8*d**2 + 8*d + 2. Suppose 4*a - 3 + 23 = 0, -5*v = a - 5. What is the least common multiple of h(7) and v?
18
Let r(x) = x**2 - 4*x. Let m = -80/27 + 725/108. Find the common denominator of m and r(8).
4
Let p(t) = -t**3 - 15*t**2 - 16*t + 7. Let b be p(-13). Find the common denominator of 10/11 and (b/(-6))/(9/(-6)).
33
Let s = -3 + 20. Suppose 0 = -q - 4*a + s, q - 12 - 5 = -2*a. Find the common denominator of (-2)/1 + q/3 and -109/6.
6
Let y be (3/(-2))/(1/12). Calculate the common denominator of (16/(-9))/((-4)/10) and (29/(-4))/(y/(-8)).
9
Let q(u) = u**3 - 3*u**2 + u - 4. Suppose 0 = -d + 8 - 4. Let i = -2 + 4. Calculate the smallest common multiple of q(d) and i.
16
Let x = -99/58 + 2805/1363. Let z = x + -764/235. Find the common denominator of z and 27/8.
40
Suppose 0 = 2*y + 4 - 2. What is the smallest common multiple of 2 and (5/2)/(y/(-2))?
10
What is the least common multiple of (14 + -10)/(4/3) and 4?
12
What is the common denominator of 359/(-60) + ((-11)/3 - -4) and (-1)/(-4) - (-35)/(-6)?
60
Let j(s) = -s**3 + 2*s**2 - 1. Let a be j(2). Let i = 2 + a. Let n(m) = 6*m**2. What is the least common multiple of 7 and n(i)?
42
Let s = -36/170807 + -4159319817/6832280. Let d = s - -4905/8. What is the common denominator of 107/22 and d?
220
Let n(o) = -o + 3. Let k be n(3). Let f(w) = w**3 + w**2 - w + 14. What is the least common multiple of 22 and f(k)?
154
Let o be (2/(-4))/((-12)/(-24)). What is the common denominator of 1/(-4) + (-111)/12 and -1*(-1 + o - -25)?
2
Find the common denominator of 47/(-6)*(-3 - -2) and 2/27.
54
Let n(a) = -9*a**2 + a + 2. Let o be n(-4). Find the common denominator of (-9)/24*o/(-12) and ((-22)/6)/(4/(-15)).
16
Suppose -5*f = -4*f + s - 39, 0 = 4*s + 12. Let b = f + -22. What is the lowest common multiple of (-3)/(54/(-260)) - (-76)/(-171) and b?
140
Let s = -112 + -1