late the common denominator of q and g.
40
Let k = 627/196 + -225/49. Calculate the common denominator of 67/18 and k.
252
Let a(b) = 2*b**2 + 6*b + 2. Let k = 6 + -10. Calculate the least common multiple of a(k) and 24.
120
Suppose 5*p + t - 17 = 0, -4*p + p + 5 = -2*t. Suppose 0 = 4*r, p*r = -2*x + r + 24. What is the common denominator of x/(-27)*114/4 and -127/6?
6
Let s(k) = 2*k**2 + k - 1. Suppose 3*y + 3*i = 4*i + 2, 0 = -4*y - 2*i + 6. Let r be s(y). Calculate the common denominator of 15/8 + r/4 and -45/8.
8
Find the common denominator of -139/12 and -1*(-1)/((-12)/196).
12
Let q = -2 + 8. Suppose 3*j - q*j + 54 = 0. What is the least common multiple of j and 10?
90
Calculate the lowest common multiple of ((-36)/5)/((-64)/480) and 18.
54
Let h = -13 - -18. Suppose -44 = -3*v - v. What is the least common multiple of h + 0/(-1 - -4) and v?
55
Calculate the lowest common multiple of 10 and 70/28 + -2*1/(-4).
30
Let n = -14 + 4. Let g = -9 - n. Calculate the common denominator of -63/10 and g.
10
Let z be (1/(-73))/(6/(-150)). Let h = 1283/730 + z. Find the common denominator of 71/16 and h.
80
Let p = 152/29 + 1683/116. What is the common denominator of p and 2 + 117/(-14) - 2?
28
Suppose -3 + 9 = 2*z. What is the lowest common multiple of z and 11*1 + (2 - 2)?
33
Let i = 15/13 - 1031/26. Let w = -35222/9 - -3921. Calculate the common denominator of w and i.
18
Let i(q) = -q**3 - q**2. Let m(b) = -6*b**3 - 13*b**2 + 3*b + 12. Let v(w) = 5*i(w) - m(w). Calculate the smallest common multiple of 12 and v(-8).
12
What is the common denominator of 63/10 and 4/11*(-90)/(-8)?
110
What is the common denominator of -2*85/(-260)*-3 and 51/2?
26
Let q(t) = t**2 - 4*t - 2. Let r be q(5). Suppose -7*u + 80 = -r*u. What is the smallest common multiple of 24 and u?
120
Suppose 5*h - 55 = -5*o, 0 = 2*h - 3*o - 63 + 16. Calculate the smallest common multiple of 16 and h.
16
Let c(k) = -k + 2. Let t be c(2). Calculate the lowest common multiple of 3 and (3 - 2 - t)*5.
15
Let f = 39 + -25. Suppose f*z = 10*z + 16. What is the least common multiple of z and 20?
20
Let i be (1 + (-2)/5)*5. Suppose -4*n + 69 + 1 = 2*h, -50 = -i*n - 4*h. Find the common denominator of (-5)/15 + 7/n and -1/20.
180
Let f(s) = -s**2 - 3*s + 3. Let a = 8 - 14. Let k be f(a). Calculate the common denominator of (0 - k/21)*10 and -14/11.
77
Let s(f) = 4*f**2 - 3*f - 2. Let q(n) = -n**2 - 4*n + 10. Let g be q(-6). What is the smallest common multiple of 2 and s(g)?
20
Let l(r) = -6*r. Suppose -q + 5 = 6. Calculate the lowest common multiple of 9 and l(q).
18
Let j = 9 - 3. Calculate the common denominator of 536/(-12)*j/8 and -23*(1 - 12/14).
14
Suppose r - 6*r = -6840. Let l = r - 19143/14. What is the common denominator of -79/18 and l?
126
Let m(d) = d**3 + 5*d**2 - 5*d + 8. Let k be m(-6). What is the common denominator of (-77)/4 + 1 + 2 and (3/k)/((-30)/26)?
20
Find the common denominator of 202/264 + (-20)/(-30) and ((-3)/(-6))/(20/146).
220
Let o = -2/341 + -1003/3410. Calculate the common denominator of (3/4 - 0)*(-34)/(-3) and o.
10
Suppose -5*y - t + 115 = 0, -4*y + 2*t + 78 = -0*t. Calculate the least common multiple of 26 and y.
286
Suppose 7*s - 98 = -0*s. What is the lowest common multiple of 18 and s?
126
Let q = -60663/14 + 4339. Calculate the common denominator of q and 91/18.
126
Suppose -3*k + 6 = -k, 11 = -5*a + 2*k. What is the lowest common multiple of 12 and 6 + (-2 - (a - 1))?
12
Let k(w) = 2*w**2 - 4. Calculate the lowest common multiple of k(-4) and 12.
84
Let z = 35384/11 + -3219. Calculate the common denominator of z and (166/4 + 0)*1.
22
Suppose 3*q - 34 = 14. What is the lowest common multiple of 6 and q?
48
Let n = 2 + -6. Calculate the common denominator of 42/n*(-13)/3 and (-2)/9 + (-211)/144.
16
Suppose 2*i = i + 22. Suppose l + m + 4*m = -i, 4*l = -2*m + 2. Calculate the common denominator of 988/48 - (-2)/l and 127/6.
12
Let g = 6198 + -9745. Let j = g - -71041/20. Calculate the common denominator of 41/12 and j.
60
Suppose 2*o - 1 = -3*v + 3, v + 3*o - 13 = 0. Calculate the common denominator of 91/10 and -12*((-4)/6 - v).
10
Let p(w) = 37*w + 2. Let n be p(-1). Find the common denominator of n/(-2) + -8 + 8 and 52/7.
14
Let g(u) = 2*u + 3. Calculate the least common multiple of g(9) and 21.
21
Let h = -52 + 53. Calculate the smallest common multiple of h and 7.
7
Suppose -4*p + 0*k + 18 = -k, 0 = -5*p - 2*k + 16. What is the least common multiple of 22 and p?
44
What is the common denominator of -71/20 and (4 + 777/6)/60?
40
Let o(n) = -n**2 + 6*n - 7. Calculate the lowest common multiple of 4 and o(4).
4
Suppose -14 = -4*z - 2*g, 2 = -2*z + 4*g - 6. What is the smallest common multiple of (-4)/8 - (-50)/4 and z?
12
Let n = 3 - 3. Suppose f - 10 = -n*f. What is the least common multiple of 9 and f?
90
Let a = -2190/7 + 312. Let k = -6/1111 - -70041/8888. What is the common denominator of k and a?
56
Suppose 0 = 2*n + y + 33, 0*y = 2*n - 3*y + 45. Calculate the common denominator of 0/3 + (-138)/40 and 2 - (0 + n/(-44)).
220
Suppose -g + 4*s = 3, -2*g = s - 1 - 2. What is the common denominator of g/((-351)/119 + 3) and 101/8?
24
Let a(z) = -z**2 - 6*z - 3. Let r be a(5). Let u = 869/16 + r. What is the common denominator of u and -3 + (994/(-40))/(-7)?
80
Let i = -2/1511 + -28701/6044. Find the common denominator of 11/10 and i.
20
Let g(o) = -5*o - 2*o**2 + 3*o**2 + 3 - 7. Let w be g(6). Let l = 22 - w. Calculate the lowest common multiple of l and 22.
220
What is the common denominator of 5/((-30)/124)*(-11)/198 and 71/6?
54
Let g(x) = x**3 + 6*x**2 - 8*x - 3. What is the lowest common multiple of g(-7) and 4?
4
Let j = 36 + -19. What is the lowest common multiple of 9 and j?
153
Let a = 2/515 + 473/206. Find the common denominator of 48/5 and a.
10
Let v = 61 - 57. Calculate the least common multiple of v and 4.
4
Let b = 61 + -40. Calculate the lowest common multiple of b and 1.
21
Let p(a) = -3*a**3 - 5*a**2 - a - 4. Let u be p(9). Let d = u - -5111/2. Find the common denominator of d and 3/8.
8
Let h be 6/(-124)*(-8)/286. Let c = h - 554161/26598. Find the common denominator of c and 107/12.
12
Suppose 6 = 5*k - 3*n + n, -n + 8 = 3*k. Suppose 274 = 3*m - 8*m + 3*j, -k*m + j = 110. What is the lowest common multiple of 14 and (3/6)/((-2)/m)?
14
Let x = 27410/7353 - 9/1634. Let n = 59871/10 - 5992. Calculate the common denominator of n and x.
90
Suppose -5*m - 20 + 50 = 0. What is the lowest common multiple of 12 and m?
12
Suppose 3*f + 8 = 2*n - f, 3*n - 48 = -3*f. Let x = n - 9. What is the least common multiple of 8 and x?
24
Let a(b) = -b**2 - b. Let i be a(-2). Calculate the least common multiple of (-82)/(-7) + i/(-7) and 16.
48
Let i = 2285/4 + -4519/8. Find the common denominator of i and 49/18.
72
Suppose -o = 4*o + 5. Let g = o + 3. Calculate the lowest common multiple of 3 and -1 + (g - -2 - 2).
3
Suppose 2*f + 5 = -3*t, 5*f - 7 - 18 = 5*t. What is the least common multiple of f and 4?
4
Let j = 3143/2904 - -1/968. Let v = 779/54 - -92/27. Calculate the common denominator of v and j.
12
Find the common denominator of (4/(-18))/((-3)/(-342)) and 374/(-8) + (-15)/20.
6
Let t = -37 + 57. Suppose 0 = 4*q - t - 20. What is the smallest common multiple of q and 4?
20
Let d = 8 - 4. Let m = 26 - 16. What is the smallest common multiple of (-1 + -3)/d - -13 and m?
60
Let q be (7/(-4))/(2/8). What is the lowest common multiple of (8/(-6))/(q/63) and 4?
12
Suppose -2*h + 152 = 140. Suppose 85 = 3*a + 19. What is the smallest common multiple of a and h?
66
Let m(z) = -z**2 + 8*z - 9. Let a = 7 - 0. Let i be m(a). Calculate the common denominator of (48/140)/(i/10) and -20/3.
21
Let w = -5295 + 52829/10. Let x = 27515/8 + -3444. Find the common denominator of w and x.
40
Let f(b) = -b**3 + 17*b**2 - 18*b + 33. Calculate the lowest common multiple of f(16) and 11.
11
What is the common denominator of ((-1275)/(-66))/5 + 0 and 95/2?
22
Let n = 5 + -3. Suppose 8*a = 7*a + 3. Calculate the smallest common multiple of a and n.
6
Let r = -12 - 4. What is the common denominator of 89/22 and 9/6 + 222/r?
88
Suppose j + 6 = 2*v, 3*j = 3*v - 2*j - 23. Calculate the smallest common multiple of 3 and v.
3
Suppose -d - 2*s = -20, -4*d + 61 = 2*s - 1