t b = -5244999/55 - -482674/5. Let d = 1169 - b. What is the common denominator of -40/9 and d?
99
Suppose -a - 6*u = -3*u + 1, -5*u = -3*a + 53. Calculate the least common multiple of 4 and a.
44
Let s = 6/2750993995 + -191361893506779/101137543232180. Let v = 1/1313 - s. What is the common denominator of v and 79/6?
84
Let v be 8/3 + (-4)/6. Suppose 0*o = v*o - 6. Suppose -3*y = -2*s + 18, 0 = -s + y + 6 + o. What is the least common multiple of s and 8?
72
Suppose 5*z + 3*u - 11 = 12, -3*z + 1 = 5*u. Let x(h) = -73*h**2 + 1. Let m be x(1). What is the smallest common multiple of m/(-10) + (-2)/10 and z?
7
Let w be (-3 + 2)*6 + 0. What is the common denominator of (-643)/(-70) + w/21 and 37/6?
30
Let d = 7/1051 - 87345/16816. Let r = 11/78 + 22/13. Calculate the common denominator of d and r.
48
Let o = 144 + -58. Let n = -428/5 + o. Find the common denominator of -47/9 and n.
45
Suppose 23*p - 96 = 15*p. Calculate the least common multiple of 8 and p.
24
Let m(j) = j**2 + 5*j - 8. What is the least common multiple of m(-7) and 22?
66
Let r = -1/486 + -13117/2430. Calculate the common denominator of r and (82/20)/((-6)/12).
5
Suppose 6 = -29*h + 35*h. What is the smallest common multiple of 9 and h?
9
Let z = 11 + -5. Let i be 42/(-9) - z/(-9). Calculate the common denominator of 29*2/i*3 and -31.
2
Let d = -6 - 8. Let n = d - -24. Calculate the least common multiple of n and 8.
40
Let g be (-5745)/(-9)*(-6)/8. Let l = g + 469. Let x(b) = b**3 - 2*b**2 - 5*b + 2. Find the common denominator of l and x(4).
4
Let c(h) = -9*h - 1. Let n(d) = -19*d - 2. Let t(j) = -7*c(j) + 4*n(j). Let b be t(-1). Suppose b = 4*q - 16. Calculate the lowest common multiple of 9 and q.
63
Suppose -d - 5*v = 3*d - 39, v + 9 = 2*d. Suppose -4*r = d - 30. Calculate the lowest common multiple of 18 and r.
18
Calculate the common denominator of (51/10)/(99/(-55)) and -62/9.
18
Let m = 5889/4 - 1484. Suppose 0 = 6*f - 4*f - 10. Calculate the common denominator of (3/(-12) + -2)/f and m.
20
Let r = 11729/4 - 2952. Find the common denominator of -67/10 and r.
20
Calculate the common denominator of 77/15*(-96)/64 and 61/12.
60
Let d = 24 - 18. What is the smallest common multiple of 30 and d?
30
Calculate the common denominator of (-5 - 2125/(-60))*2/(-15) and -97/36.
36
Let l(i) = 2*i**3 + 7*i**2 - 3*i + 7. Let d(f) = -f**3 - 5*f**2 + 2*f - 5. Let m(j) = -7*d(j) - 5*l(j). Calculate the least common multiple of 12 and m(-2).
132
Suppose 0 = 3*w + 125 + 58. Let c = w - -37. Find the common denominator of 41/9 and 2 + -3 + c/5.
45
Let a be ((-39)/12)/((-1)/(-4)). Let j = a + 4. Find the common denominator of 0 + (-1)/(-13)*24 and j.
13
Suppose 52*o - 12 = 48*o. Calculate the smallest common multiple of o and 8.
24
Suppose -2*w - 8 + 52 = 0. Calculate the lowest common multiple of w and 10.
110
Calculate the lowest common multiple of 10 and ((-54)/45)/((-3)/20).
40
Let v = -266443/57510 - 2/5751. Calculate the common denominator of 1/16 and v.
240
Calculate the common denominator of 37/6 and (-54)/36 - 317/(-126).
126
Let o = 9 + -4. Suppose 10*z - o*z = 45. Find the common denominator of ((-9)/6)/(z/(-123)) and 53/12.
12
Let u be -2 - 146684/24 - 0. Let b = -6136 - u. Let y = 1183/136 + -235/17. Calculate the common denominator of y and b.
24
Let v = 9/289 - 3557/12138. What is the common denominator of -81/16 and v?
336
Let k(y) = y - 52. Let s be k(0). Suppose 0 = 4*h - 4 - 4. Calculate the smallest common multiple of (-715)/s - 2/(-8) and h.
14
Let k(w) = w**2 - 4*w - 4. Let n be k(7). Let l = n - 7. Calculate the least common multiple of l and 14.
70
Let y(v) = -12*v**3 - v**2 - 3*v - 2. Calculate the least common multiple of 22 and y(-1).
132
Let d = 1/2222 - -61079/57772. What is the common denominator of d and 106/(-40) + -1 + 1?
260
Let d(t) = -2*t**3 - 2*t - 1. Let q be d(-1). Suppose -5*n = -q*k - 15, 3*k + 7 = -4*n + 46. What is the least common multiple of 8 and n?
24
Let t = -21 - -14. Let s = t + 2. Calculate the smallest common multiple of 9 and (0 - s - 1) + -2.
18
Suppose -5*z + 11 = h - 19, 6 = z + h. Let y = 34 - 20. Calculate the smallest common multiple of z and y.
42
Let n = -14 + 15. Let j(m) = m + 4. Let w be j(-4). Suppose 34 = 2*h - 4*s, -3*s - 31 = -w*h - 2*h. Calculate the lowest common multiple of n and h.
11
Find the common denominator of 3 + 56/(-3) - -1 and 59/3.
3
Let q be (-2 + (-7)/(-2))*4. Let b be ((-1)/595)/(q/(-36695)). Let m = -66/119 - b. What is the common denominator of -47/11 and m?
66
Suppose -4*b + 7*b = 6. Let c = 6777/55 - 607/5. What is the common denominator of c and 13/b*(1 + 2)?
22
Let x = 31 - 12. Let z = -9 + x. What is the smallest common multiple of z and 8?
40
Let p be 9/15 + (-34)/(-10). Suppose 0 = y + q + p*q, 2*q = 5*y - 108. Calculate the lowest common multiple of y and 6.
60
Let o = 133/67 + 752/1005. Find the common denominator of -63/2 and o.
30
Suppose 5*i + 71 - 121 = 0. Let l = 12 + -7. What is the lowest common multiple of l and i?
10
Let a = 35 + -23. What is the least common multiple of a and 15?
60
Let n be ((-4)/22)/(12/42). Let z = -115/77 - n. Let h = 11/21 - 90/7. Calculate the common denominator of z and h.
21
Let i(g) = g + 6. Let a(s) be the third derivative of -7*s**4/24 + s**3/6 - s**2. What is the least common multiple of a(-1) and i(-3)?
24
Suppose -11 = -6*j + 85. Calculate the least common multiple of 5 and j.
80
Suppose -2*l + 0*l + 10 = 0. Let g = 3 + l. Calculate the smallest common multiple of g and 8.
8
Let t(g) be the first derivative of g**4/4 + 4*g**3/3 + 3*g**2/2 + 2*g + 2. Let p be t(-3). Calculate the common denominator of (-18)/11*1 - p and -3/4.
44
Suppose 3*g - 3 = 2*g. Suppose 0 = -2*j + 3*q + 21, 0 = -3*j - q + 2 + 2. What is the lowest common multiple of g and j?
3
Calculate the least common multiple of 10 and 24/(-84) + 130/14.
90
Suppose -2*v - 6*y = -2*y - 8, -3*v = -3*y + 6. Let b(z) = v*z - 3*z - 7 - 2*z. Calculate the common denominator of b(-6) and 8/5.
5
Suppose -5*k + 45 = 5*p, 3*k - 8 = p + 7. Calculate the smallest common multiple of k and 8.
24
What is the common denominator of (1160/(-700))/((-4)/5) and 173/150?
1050
Let y(a) = a**2 + 5*a - 4. Let z(k) = -k**2 - 4*k + 3. Let d(j) = -5*y(j) - 6*z(j). What is the lowest common multiple of d(4) and 22?
154
Let v = 1/10022 - 506117/60132. Calculate the common denominator of v and -70/3.
12
Calculate the smallest common multiple of (12/15)/((-8)/(-60)) and 14.
42
Find the common denominator of -25/12 and (-1)/(-3) + 68/(-168).
84
Suppose 58 = -2*q + 142. Suppose 5*s = -4*a + 20, s + 2*a = 5*s - q. Calculate the least common multiple of s and 38/95*(31 + -1).
24
Let w(u) = 9*u - 4. Let a = -5 + 7. What is the least common multiple of 12 and w(a)?
84
Let l be 0 - (2 - 1) - -2. Let n = l - -3. Find the common denominator of 19/8 and n/6 + 250/66.
88
Suppose 2*m - 2 = 4. Let d be (-10)/m*(-4890)/55. Let b = d + -297. Calculate the common denominator of 59/8 and b.
88
Suppose 2*v + 20 = 7*v + 2*k, 4*k = 4*v + 12. What is the least common multiple of 162 and v?
162
Let p = -1280231441/13872474 - 858/70063. Let j = p + 1044/11. What is the common denominator of j and 67/2?
18
Let k = -49159/16 - -3071. Find the common denominator of k and 71/80.
80
Let y(a) = a**2 - 10*a + 3. Let o be y(6). Suppose 0 = -k - 0*k - 73. What is the common denominator of (o/(-20) - 1)*k and -99/4?
20
Suppose 7*q - 2*q - 85 = 0. Let o be ((-2)/(-36))/(q/411). Let h = o - 71/17. Calculate the common denominator of 27/14 and h.
42
Let o be (-107)/3 + 4/(-12). Calculate the common denominator of ((-3)/10)/(o/210) and 3/10.
20
Let u = 33 + -9. Suppose 12 = s + 10. Suppose -s*r = 4, 4*y - 2*r = 6*y - u. What is the lowest common multiple of y and 8?
56
Let q be (-21)/14*14/1. Let k = 32 + q. What is the smallest common multiple of 9 and k?
99
Suppose 4*l + o - 78 = 4*o, 3*l = 4*o + 55. Suppose 5*w - 61 = -l. Calculate the lowest common multiple of 20 and w.
40
Let j = 3359 - 16851/5. Let f = 11069/4030 - -7/310. Let w = -137/26 + f. Find the common denominator of j and w.
10
Let n = -5 - -34. Let f = 45639/2084858 - 16/743. Let m = -122063/5612 + f. Find the common denominator of n and m.
4
Let a = -7 - -13. Suppose -7*b + 20 = -8. What is the l