5
Calculate the smallest common multiple of 3 and (-4 - (-324)/32) + 1/(-8).
6
Calculate the common denominator of -95/6 and (-129)/15 + 9 + 126/(-340).
102
Let y(o) = 9*o - 21 + 7*o**2 - o**3 + 4*o + 6*o**2. What is the common denominator of y(14) and ((-15)/(-55))/(6/(-20))?
11
Let k(o) = o + 7. Let r(c) = 3*c**3 - 72*c**2 + 3*c - 21. What is the least common multiple of k(0) and r(24)?
357
Let i = -911 + 1335. Find the common denominator of (-492)/(-56)*(-21)/(-18) and (-4)/(-20) + i/(-70).
28
Suppose -3*g + q + 3*q = -5661, 3*g - 5652 = q. Suppose -p = -2*d - 0*p + g, 5*d = -5*p + 4730. Let v = d - 6586/7. Find the common denominator of -131/6 and v.
42
Let m = 447270886837/868 + -515288951. Let r = 2658/31 - m. Calculate the common denominator of r and -53/20.
140
Suppose -72 + 17 = -5*s. Suppose 46*m - 40*m - 36 = 0. Calculate the lowest common multiple of m and s.
66
Let h be (1367676/15)/12 + 1/(-5). Let v = -74476559/10 - -7455261. Let s = h - v. Calculate the common denominator of -37/10 and s.
10
What is the common denominator of 32566/11704 + -3 + 70/22 and 1/238?
476
Let h = -37 - -60. Suppose 10 + h = 3*l. What is the least common multiple of 8 and l?
88
Let r = 11/30 + -2/3. Let b = 11/729023 - -3446083482/546038227. Let s = b - 18/107. What is the common denominator of r and s?
70
Let g = -251 - -146. What is the common denominator of ((-14)/g)/((-6)/(-335)) and 73/27?
27
Let t be (66/9)/(6/(-9)). Let o = t - -18. Let f = -19 - -24. Calculate the smallest common multiple of o and f.
35
Let y(f) = -f + 7. Suppose -12*x = 40 - 4. Let n = 0 - x. What is the lowest common multiple of n and y(6)?
3
Let d = 339 - 329. What is the smallest common multiple of d and 102?
510
Let h be (-20)/16 - ((-3)/(-4))/(-3). Calculate the smallest common multiple of 28 and (h/(-2))/(2/16).
28
Let g = 263292 - 4410930878/16753. Let o = g - 787349/351813. Find the common denominator of -17/5 and o.
105
What is the lowest common multiple of 4 + 24/(-40) - 3/(-5) and 27?
108
Suppose 0 = -m - 4*q + 14, q = 6*m - m - 70. Suppose i + 21 = 15. What is the common denominator of i/40*(-5 - -13) and m?
5
Suppose -3*m - 27 = w, 0 = 3*m + 3*w + 16 + 5. Let a = -5 - m. Suppose 4*f = a*z - 102, 2*z = -2*z - f + 90. Calculate the lowest common multiple of z and 4.
44
Suppose 9*k - 705 = 267. What is the lowest common multiple of k and 174?
3132
What is the common denominator of 20/16*276/(-42) and -117/154?
154
Let v = -8498 - -101893/12. What is the common denominator of v and (97/(-5))/(8/(-10))?
12
Suppose 0 = 3*p + 6, -t + 3*t + 3*p + 206 = 0. Calculate the common denominator of 2/3 and (-2)/6 + (t/165)/2.
33
What is the common denominator of (59*4/(-40))/((-32)/(-20)) and 119/36?
144
What is the least common multiple of 4/6 + 4048/552 and 29?
232
Let z = -147 + 263. Calculate the lowest common multiple of 2 and z.
116
Let q be (4/(-300))/(50/12). Let j = 77263/214007 + 10406745939/10165332500. Let d = q + j. Find the common denominator of d and 113/18.
684
Let o = 17631445/2266 + -140380/103. Let u = o + -6419. Find the common denominator of u and (-61)/10 + (-2)/1.
110
Suppose -r - 3*l = -3*r + 3, 0 = -5*r + l + 1. Suppose -6*g + 3*g - 54 = r. Let a = 27 + g. Calculate the lowest common multiple of a and 5.
45
Let b(i) = i**2 - 5*i - 2*i - 2*i + 7. What is the lowest common multiple of b(9) and (18*5)/6 + -5?
70
Suppose 27*q = 274 + 320. Calculate the least common multiple of q and 1072.
11792
Let y = 17/4 + -169/20. Let g(d) = d - 8. Let b be g(8). What is the common denominator of -2 - (-198)/21 - b and y?
35
What is the common denominator of ((-2)/40)/((-7)/(-371)*-1) and -58/75?
300
Let k = 4481/4 + -1132. Calculate the common denominator of k and 0 - (-2)/((-108)/195).
36
Suppose -3*y - 125 = -4*a, -y - 2*y - 3*a = 111. Calculate the common denominator of 19 + 6/y + (-160)/(-195) and -13/30.
30
Find the common denominator of -71/57 and 2/5*((-1625)/(-30) + 5).
57
Let s(h) = -h**2 - 6*h - 1. Let d be s(-4). Suppose -4*k = -3*n - 120, 3*n - d*n - 160 = -k. What is the common denominator of 45/4 and (-10)/8*(-76)/n?
8
Let v(m) = -m**2 + 6*m + 4. Let t be v(-1). Suppose -4*y = -2*y + 18. What is the common denominator of -4 + 6 + 62/t and y?
3
Let d(o) = o**2 + 16*o - 21. Let z = 23 + -41. Let a be d(z). Calculate the common denominator of ((-2)/a)/((-56)/(-4998)) and -33.
10
Let l = 36637/11 + -3333. Let j be 0/(-2) - (-7770)/(-55). Let y = j + 144. What is the common denominator of l and y?
11
Suppose 18*w - 799 - 4421 = 0. Calculate the lowest common multiple of w and 50.
1450
Suppose 169 = -r + 183. Let w(g) = -g**3 + 6*g**2 - 5*g + 2. What is the smallest common multiple of r and w(3)?
14
Let l(p) = -2*p**2 + 9*p + 72. What is the smallest common multiple of l(8) and 32?
32
Let q(b) = b + 13. Let z be 15/(-4) + (-3)/12. What is the smallest common multiple of 2 and q(z)?
18
Let z(f) = -150*f**2 + 914*f - 6. Calculate the least common multiple of 18 and z(6).
234
Let b be (44/(-425))/(((-108)/(-690))/(-3)). Let a = b + -36/17. Find the common denominator of a and 85/21.
105
Let d = 145861 - 12398489/85. Let q = d - 1387/1870. What is the common denominator of q and (2*(-1)/11)/((-16)/(-252))?
22
Let a = -634267/303688 + -4/5423. Find the common denominator of a and -44/63.
504
Let i(v) = -14*v + 64. What is the lowest common multiple of 18 and i(4)?
72
Suppose 3*c + 912 = -5205. Let x = c - -20371/10. Find the common denominator of -93/22 and x.
110
Let w = -1/632 - 12953/1896. Let p = 19 - 4. Calculate the common denominator of w and ((-174)/p)/(4/15).
6
Suppose 0 = -6*n + 3 + 15. What is the common denominator of 1/(-6)*(-94)/(-1) and n/(-5) + (-648)/80?
30
Let z = 5653 + -45185/8. What is the common denominator of (-27)/56*(-4)/3 and z?
56
Let z be -1 + 136/10 - 9/15. Suppose 5*s - 32 = -z. What is the smallest common multiple of 18 and s?
36
Let m = 65/6 - 626/51. Calculate the common denominator of 167/126 and m.
2142
Suppose 582 = 33*n - 606. What is the smallest common multiple of 28 and n?
252
Let b = -899 + 917. What is the lowest common multiple of 212 and b?
1908
Let b = 1289587/44 - 29307. What is the common denominator of -1/6 and b?
132
Let g = -2430 + 65653/27. Let i = -2/92087 + -7827347/2210088. Calculate the common denominator of i and g.
216
Let m(y) = y**3 - 10*y**2 + 20*y - 8. Let x be m(8). Suppose p + 3*p = x. Suppose -5*d + 7*d - 18 = 0. What is the least common multiple of d and p?
18
Let w be (51/(-30))/(158/55376). Let v = w - -9693284/16037. Let g = -27/145 + v. Calculate the common denominator of 44/7 and g.
7
Let f(x) = x**3 + 10*x**2 + 10*x + 8. Suppose -6 = 3*l + 21. Let n be f(l). What is the common denominator of -87/14 and 0 + (11/(-10) - n)?
70
Let t be 1*4 - (-45)/9. Calculate the least common multiple of ((-72)/30)/(t/(-120)) and 4.
32
Suppose -2*n = y + 2*n - 217, 0 = -3*y + n + 677. What is the smallest common multiple of 27 and y?
675
Let n = -123 - -135. Calculate the smallest common multiple of 8 and n.
24
Let n(j) = -4*j**3 - j**2 - 11*j + 9. Let k be n(9). Let v = -27745/9 - k. Calculate the common denominator of -52/11 and v.
99
Suppose -4*s + 2*n = 234, -3*n = -4*s + 121 - 356. What is the common denominator of (2 + 95/(-6))*-1 and 8 - 10 - s/(-22)?
66
Let d = -53757937/472 - -113894. What is the common denominator of d and -97/8?
472
Let n = 15 + -10. Suppose 0 = n*d - 5*a + 55, 4*a = 3*d + 2*a + 29. What is the lowest common multiple of 11 and ((-63)/12)/d*4?
33
Let y be (10/(-40))/((-2)/2284). Let a = y + -69089/242. Let o = 4595/363 + a. Find the common denominator of -28/3 and o.
3
Suppose 6*c = 2*c + 5*j + 274, -5*c + 334 = -2*j. Let x be (-80)/(-24)*c/5. Let m = -92 + x. Find the common denominator of -149/6 and m.
6
Suppose -37*l = -50*l + 130. Calculate the lowest common multiple of l and 196.
980
Let g = 43559/4115 + 12/823. Find the common denominator of g and -115/228.
1140
Let a(n) = -7*n**3 + 3*n**2 + 21*n + 1. Calculate the lowest common multiple of 154 and a(-3).
154
Calculate the lowest common multiple of (-20)/(-3)*21*14/245 and ((-4)/(-8))/((-2)/(-16)).
8
Let c(g) = -g**3 + 4*g**2 + 11*g + 8. Let t be c(6). Suppose 5*d + 15 = 5*o - 0*d, -t*d = 2*o - 2. What is the lowest common multip