Let k be j/55 + 6/(-33). Find the common denominator of -35/6 and (k/24)/11*34.
12
Let g be ((-15)/(-10))/(-1 - 13/(-10)). Calculate the least common multiple of g/(-45)*3 - (-37)/3 and 86.
516
Suppose 16*p - 3378 = 6158. Calculate the least common multiple of p and 10.
2980
Let w be 4/(-22) + 210514/(-22). Let a = w - -95771/10. Calculate the common denominator of a and 33/4.
20
Let q be ((-13)/39)/((-2)/24) + -158. Calculate the common denominator of -9/34 and ((-60)/q)/(910/(-147) + 6).
374
Suppose 0 = -7*z + 3*z + 16. Calculate the smallest common multiple of 62 and z.
124
Let u(v) = 3*v**2 + 2*v + 6. Let a be 2/(-6)*(-21)/(-35)*15. What is the least common multiple of 3 and u(a)?
27
Let d = -27 + 31. Suppose -3*z + 5*z = d*x - 12, 0 = 5*z - 4*x. What is the lowest common multiple of 4 and z?
4
Let u(v) = -v**2 + 19*v + 49. Calculate the lowest common multiple of u(20) and 8.
232
Let a(k) = -4*k**2 + 11*k + 5. What is the least common multiple of 110 and a(3)?
110
Let k = -75 - -73. Calculate the common denominator of 1695/120 - (-4)/k and 5/16.
16
Suppose 8 + 0 = 3*f - 4*k, 4*f + 4*k = 20. Calculate the smallest common multiple of f and 4.
4
Suppose -3*v + 5*r + 7 = 0, -4*v + 3*r + 0*r + 24 = 0. Find the common denominator of -17/6 and ((-2)/24)/(v/846).
6
Let y = 79 + -59. Calculate the lowest common multiple of 5/y + -2 + (-91)/(-4) and 9.
63
Suppose 13 = -4*h + 33, -5*n + 215 = -2*h. What is the least common multiple of 25 and n?
225
Suppose 4*g + 28 + 89 = 5*z, 57 = 2*z - 5*g. Let x be ((-10)/(-15))/((-15)/(-1080)). Suppose 17*n + x = z*n. Calculate the least common multiple of n and 36.
36
Let k = 73 - 68. Suppose k*p - 31 = -1. Suppose m - 18 = 5*u, 3*u - u + 90 = 5*m. What is the least common multiple of m and p?
18
Let y(h) = -h**3 - 5*h**2 + 15*h + 81. Suppose 0*q + 18 = q. Calculate the smallest common multiple of y(-5) and q.
18
Suppose 3 + 4 = -c. Let o be (-28)/6*(c + 4). Find the common denominator of 2/(-7) + 417/o and 39/14.
14
Suppose -2794 = -5*u - 3*r, r = 4 - 6. What is the common denominator of ((-21)/u)/((-6)/404) and 29?
40
Let g = -76 + 131. Suppose 4*m = 5*u + 3*m - 55, 3*u - 5*m = g. What is the least common multiple of 12 and u?
60
Suppose 3*f = 3*r - 78, 0 = 3*r - 8*r - f + 118. Suppose 3*m = 2*m + r. What is the lowest common multiple of 5 and m?
120
Let g(o) = o + 9. Let x be (4 - 7) + (1 - -12). Let y = x - 1. Calculate the lowest common multiple of 22 and g(y).
198
Let l be (-75)/4*80/(-24). Let m = -1011/16 + l. What is the common denominator of m and 55/4?
16
What is the common denominator of 72/(-35) + -23 + 25 and 89/30?
210
Suppose -5*d = 5, -4*d = 3*y - 5*d - 31. Calculate the least common multiple of y and 27.
270
Let o(d) be the third derivative of d**6/120 - 11*d**5/60 - 5*d**4/12 - d**3 - 4*d**2. Calculate the least common multiple of o(12) and (-3)/3 + -3 + 24.
180
Let f = 1044 - 1038. What is the least common multiple of 10 and f?
30
Let i = -1142/315 + -87/35. What is the common denominator of -87/4 and i?
36
Let x = 155074 - 44661161/288. Find the common denominator of x and 21/256.
2304
Calculate the common denominator of 103/138 and (-27)/138*(-11)/(-44).
552
Let d be (-1 - 1/(-4))/(14/(-123256)). Let b = d + -39505/6. Find the common denominator of -67/2 and b.
6
Let t = 70307/1654 + -6/827. Find the common denominator of t and -2 + 0 + 1/10*47.
10
Suppose 408*u - 398*u - 1960 = 0. What is the least common multiple of 40 and u?
1960
Let g = 983/4 + -1234/5. Let f = 62579/5442 + 2/2721. What is the common denominator of f and g?
20
Let q(u) = 28*u + 60. Suppose -s + 0*s = -4*t - 4, 4*s - 67 = -t. Let m = -4 + s. Calculate the least common multiple of m and q(-2).
12
Suppose 0 = h + 2*h + 594. Let p = -5 + 11. Find the common denominator of 99/4 and p/(-12) + h/(-28).
28
Let i = -6209 + 204928/33. What is the common denominator of 43/21 and i?
231
Let v(f) = 3*f**2 - 3*f**2 - f + 9*f - f**2 - 6. Let u be v(7). Calculate the common denominator of u/(-54)*-10*-6 and 35/8.
72
Suppose -8*k = -37 - 91. Calculate the least common multiple of k and 19.
304
Let l(p) = 5*p + 9. Let f be l(-4). Let s be f + (-2 - (0 + -3)). Calculate the common denominator of (1/6)/((-15)/s) and -4/3.
9
Let v(p) = -2*p**3 - 2*p**2 - 2. Calculate the smallest common multiple of ((-34)/5)/((-16)/80) and v(-2).
102
Let l be 1020/3861 - (-2)/(-9). Let h = l - -2347/2002. Let f = -3327 + 26541/8. Find the common denominator of f and h.
56
Suppose -1 = h - 2*o + 1, -5*h + 20 = 5*o. Suppose h*m - 3*a - 2*a = 7, 5*m + 4*a = 34. What is the lowest common multiple of 4 and m?
12
Suppose 4*v - 6142 = -2*q + 5360, q = -v + 2875. Let i be ((-18)/60)/((-2)/v). Let a = i + -2209/5. Calculate the common denominator of 7/11 and a.
55
Let l be (-28)/(-8) - 1/(-2). Suppose -4*i = -o + 51, -3*o - l*i + 19 + 86 = 0. What is the common denominator of -61/20 and 6/o + 379/156?
60
Let o = -384 + 393. Calculate the lowest common multiple of o and 847.
7623
Let d = 28823/3 + -10086. Let v = -474 - d. Calculate the common denominator of v and 15/8.
24
Let n = 1637 - 6511/4. What is the common denominator of n and (-82)/(-96) - 2/3?
16
Suppose 5*r + 3*h = 30 + 235, -5*r = -5*h - 305. Calculate the smallest common multiple of r and 1.
56
Let q = 71682/25 - 2869. Find the common denominator of q and 69/10.
50
Suppose 4*v = -4*w, -3*v = 4*w - 0*v - 4. Calculate the smallest common multiple of -3 + -1 + w + 20 and 6.
60
Let p be (-164)/(-3)*(13 - 7). Find the common denominator of 26/3 and p/118 - ((0 - -3) + 0).
177
Let s = 14917 + -2863981/192. What is the common denominator of s and 17/528?
2112
Let o = 4569 - 18363/4. Let b be (1007/(-57))/(1/(-9)). Calculate the common denominator of o and 24/18*b/8.
4
Let j(n) = -n**3 - 2*n - 2. Let t be j(-2). Suppose -t = -6*p + p. Calculate the lowest common multiple of 2 and p.
2
What is the common denominator of -73/88 and ((-142)/18)/(52 - 50)?
792
Let k = 6561 - 6554. Let y(v) = -v**2 - 6*v + 5. Calculate the smallest common multiple of y(-5) and k.
70
What is the common denominator of -22/51 and (-2024)/336 + 16/(-40)*-10?
714
Let y(a) = -2*a**2 + 14*a + 6. Let v be y(7). Calculate the common denominator of 41/16 and 265/66 + 7/v + -1.
176
Calculate the lowest common multiple of (-33)/(-55) - (-1)/(20/8) and 2161.
2161
Let m be (-3)/(-6)*0/(-1). Suppose t + 1 = 4, -i - 3*t + 29 = m. What is the least common multiple of i and 16?
80
Let b(n) = n + 5. Let x be b(-5). Suppose 2*q + 0*q + 32 = x. Find the common denominator of ((-4)/q)/(6/488) and 23/2.
6
Suppose z + 3*a + 13 = 6*a, 0 = -5*z + 2*a. Let g(o) = -o + 1. Let l be g(-3). Suppose z*b + 2 = l*b. Calculate the smallest common multiple of 4 and b.
4
Find the common denominator of -1/15 and 37/(-3)*((-72)/(-78))/(-4).
195
Let k = -725 + 757. What is the smallest common multiple of k and 52?
416
Let b = 504 - 273. Calculate the smallest common multiple of 1 and b.
231
Let p be 2/(-7) - (-103447)/(-70). Let n = -1474 - p. Calculate the common denominator of n and 2 + ((-589)/19)/(8/3).
40
Suppose l - 20 = 3*n, 3*l + 0*l = -12. Let u(b) = b**2 + 8*b + 8. Calculate the smallest common multiple of 36 and u(n).
72
Suppose 8*p + 18324 = 12*p. Let g = -27373/6 + p. Calculate the common denominator of g and 50/3.
6
Let w = -92597/14 - -6619. Let n = 38 + -27. What is the common denominator of (n/16)/((-4)/(-16)) and w?
28
Let z = 1207289/48 - 25154. Calculate the common denominator of 6/9 - (-3 + (-68)/(-54)) and z.
432
Let c be (-230)/(-14) - (-4)/7. Let o(u) = -u**3 + 17*u**2 + 2*u - 18. Calculate the lowest common multiple of 3 and o(c).
48
Let j(n) = n**3 + 4*n**2 + 3*n + 5. What is the lowest common multiple of 1/5 + 39/5 and j(-2)?
56
Suppose -k + 6*k = -3*u + 3798, -4*k = 3*u - 3798. What is the smallest common multiple of u and 3?
1266
Suppose -4076 = 19*c - 23*c. Let v = c - 11197/11. Calculate the common denominator of (-2)/(((-24)/(-70))/(-2)) and v.
33
Let x = 10269 + -34561/3. Let g = -1241 - x. Let j = 234 + -769/3. Calculate the common denominator of j and g.
3
Suppose -64 = -4*c + 2*x, 0 = -2*c - 3*x + 30 + 18. Calculate the lowest common multiple of c and ((-1791)/(-796))/((3/44)/1).
198
Let f be 3 - (25 + -1) - -1. Suppose 0 = 4*a, 2*v 