multiple of 30 and (-564)/(-18) - (-20)/12.
330
Let q(u) = -9*u**3 + 2*u**2 + 5*u - 2. Let f be q(3). Find the common denominator of ((-5)/10)/((-54)/f) and -109/30.
270
Find the common denominator of 2 + 52/(-24) - 1368/(-270) and -4/7.
70
Let d = 176422/39 - 4523. What is the common denominator of -67/81 and d?
1053
Let w(a) = a**3 - 12*a**2 + 4. Let q(f) = 17*f**2 - 2*f + 1. Suppose 0 = -y + 2 - 1. What is the least common multiple of w(12) and q(y)?
16
Let q(o) = o**3 + 5*o**2 - 3*o. Let f be q(-5). What is the common denominator of 9/f + (-202)/45 and (-51)/11 - (-1 - 1)?
99
Suppose -3*d = -4 - 8, -4*d - 92 = -4*s. Suppose -24 + 9 = -4*h - 3*m, -5*h = m - s. Calculate the lowest common multiple of 6 and ((3 - h) + -1)*-1.
12
Suppose 0 = x + o + 1, x + 2*x = 2*o - 3. Calculate the common denominator of -2 + (22/(-4))/x and 3 + -5 - 37/22.
22
Suppose -3*y + 2*y = -77. Let g = y - 45. What is the least common multiple of 2 and g?
32
Let w = 1643/30 + -371/10. What is the common denominator of w and -5/36?
36
Suppose 57*r + 551 = 11837. Calculate the smallest common multiple of 66 and r.
198
Suppose -c = 4*c + 5. Let p = 373/4 + -1983/20. What is the common denominator of p and 102/(-20) - 2/c?
10
Let f(a) = a**2 + 23*a. Let l be f(-19). Calculate the common denominator of -22/5 and (1/4)/((l/(-744))/19).
10
Let f = 17987/11 + -1634. Calculate the common denominator of 1062/396 + (-2)/1 and f.
22
Suppose 2676 = 5*n + 2*l, 8*n - l - 1599 = 5*n. What is the smallest common multiple of n and 30?
2670
What is the common denominator of (924/(-98))/((-18)/(-28)) and 31/18?
18
Let s be (-1 - 4)*8/(-10). Let m(f) = -1 + 2*f**3 - 6*f - 3*f**3 - 10*f**2 - s*f. What is the smallest common multiple of m(-9) and 20?
40
Let a(l) = 345*l - 466. Calculate the least common multiple of 20 and a(6).
8020
Let m be 1*(-50995)/98*6. Suppose 2*d + 4*j + 4575 = -1647, d + 4*j + 3107 = 0. Let t = m - d. What is the common denominator of 46/11 and t?
77
Let g(s) = 6*s**2 + s + 5. Suppose -10 = 6*n - n - 5*u, 3*n = -5*u - 14. Let z be g(n). Let a = z + -40. What is the least common multiple of 12 and a?
48
Let u = -695519/8 - -87052. Let j = -112 + u. Calculate the common denominator of j and 22/7.
56
Calculate the common denominator of ((-180)/(-22) - -2) + (-2 - 4) and 103/44.
44
Suppose 0 = -h + 4*u + 64, 4*h - 301 = -5*u + 6*u. What is the least common multiple of h and 209?
836
Suppose 3*y + 27 = -0*y + a, -a = -y - 9. What is the least common multiple of 4 + 3/(y/(-12)) and 26?
104
Let u(q) = -q**3 - 26*q**2 - 18*q + 44. Calculate the smallest common multiple of u(-26) and 16.
512
What is the common denominator of -85/24 and -6 + -6 - 57416/(-4800)?
600
Suppose -9*y = -5*y - 48. Calculate the smallest common multiple of 32 and 21/(-3 + (-3)/y*-18).
224
Suppose -2*g - 1316 = 23262. Let w = g + 17941943/1460. Let h = -7659/2920 - w. Find the common denominator of -61/4 and h.
8
Let u = -804 - -809. What is the lowest common multiple of u and 24?
120
Let z = -123 - -124. Calculate the least common multiple of 18 and z.
18
Suppose 16*x = 20*x - 140. Calculate the lowest common multiple of 7 and x.
35
Let u = 74 - 119. Let c = u - -57. Calculate the smallest common multiple of 28 and c.
84
Let p(k) = -k**3 - 2 - 2*k**3 + 4*k**3 - 6*k**2 + 1 + 5*k. Let c be p(4). Calculate the common denominator of 67/4 and c/21 - 4/(-14).
12
Let b = -2/7883 + -386257/39415. Calculate the common denominator of b and 20/9.
45
Find the common denominator of (3/15)/(-3*(-2)/(-1275)) and 79/82.
82
Let w(s) = -s**2 + 16*s + 6. Let l be w(13). Suppose 12*v - 75 = l. Let u(b) = -b**2 - 7*b. What is the lowest common multiple of u(-3) and v?
60
Suppose -a = x + 4 - 2, 4*a - 7 = x. Let w(o) = 6*o - 1. Let l(s) = -5*s + 1. Let q(z) = 5*l(z) + 6*w(z). What is the smallest common multiple of 25 and q(a)?
50
Let y = -15/922 - -38353/5532. Calculate the common denominator of -13/288 and y.
288
Let p = -2/435 + 9139/870. Find the common denominator of p and (0 - (-369)/12) + (-4)/16.
2
Find the common denominator of (1099/28 + -7)*(-4)/(-180) and -113/36.
180
What is the common denominator of (2/(-14))/(2/86) and -49/43?
301
Calculate the common denominator of -61/82 and (-749)/24*(-2 + 36/21).
492
Let m = -4672 + 84247/18. Calculate the common denominator of 85/72 and m.
72
Suppose -1 - 9 = 2*k, j + 75 = 3*k. Calculate the common denominator of 67/4 and (-2)/(-5) + 341/j.
36
Let u = 3197/3674 + 90/167. Calculate the common denominator of u and -33/20.
220
Let h = 1299428634430/3393 - 765946723/2. Let j = -18986 + 7157786/377. Let c = h - j. Find the common denominator of c and 29/4.
36
Suppose q + 4*k = -3*q - 120, -3*q - k = 96. Let o = q - -38. Let l = -8 - -14. Calculate the smallest common multiple of l and o.
30
Let h(t) = -7*t**2 - 150*t + 25. What is the smallest common multiple of 16 and h(-21)?
176
Suppose 0*n = 3*n - 2*l - 60, l = 3. Let v = n + -2. Suppose 2*g - 24 = v. What is the smallest common multiple of g and 20?
220
Suppose -5*x - c - 12 = 41, 45 = -3*x - 5*c. Let t = -13/97 + 8711/582. What is the common denominator of t and (82/x)/(4/(-10))?
6
Let p(y) = 5*y**2 + 6*y + 4. Calculate the smallest common multiple of 63 and p(-1).
63
Suppose i = -i. Suppose i = j + 5*v - 36, 0*j + 3*j - 52 = -v. What is the least common multiple of 1 and j/(-88) + 123/11?
11
Let s(w) = -2*w**2 - 4*w + 1. Let v be s(-5). Let r = -9 - v. Calculate the smallest common multiple of 10 and r.
20
Let w = -36 + 22. Let n = -227/3 - -77. Calculate the common denominator of (-2 - 1) + 1 - w and n.
3
Find the common denominator of (151145/660)/37 - 7 and -15/44.
132
Suppose 9*u - 25 = 4*u. Suppose 0 = -4*f + 5*k + 34, -u*f - 3*k + 63 = k. Calculate the lowest common multiple of 6 and f.
66
Let m = 35 - 32. Suppose m*w = 8 + 19. What is the smallest common multiple of 10 and w?
90
Let p(q) = 3*q. Let v be p(1). Suppose -5*z - 2 - v = 0. Find the common denominator of z - -1 - (-200)/36 and -50/11.
99
Let q = 103043/450 - 2056/9. What is the common denominator of -99/8 and q?
200
Find the common denominator of 36/77 and 2/(-3)*(-4278)/(-5152).
616
Let h = 74 + -43. Let k = -26 + h. Let n = k - -7. Calculate the lowest common multiple of n and 8.
24
Let d = -67/10 + -51/10. Find the common denominator of 49/44 and d.
220
Let m = 7 - 5. Suppose -m*v = 4 - 12. Let h(r) = -3*r - 9. Calculate the smallest common multiple of h(-9) and v.
36
Suppose 102*k - 408 = 94*k. Calculate the lowest common multiple of 63 and k.
1071
What is the least common multiple of 10 and 150/(-8)*((-100)/12 - -3)?
100
Let x be (-1)/(-1 + 2/4). Calculate the smallest common multiple of (-12)/5*(-10)/3 and (x/3)/(3/36).
8
Let b be -1 - -1 - 2258/(-414). Let l = b + -62/69. Let c = 2/657 - -6548/7227. Find the common denominator of l and c.
99
Let v(a) = 10*a + 74. What is the least common multiple of 14 and v(-6)?
14
Suppose -2*r + 20 = 4*l - 4, -4*l + 3*r = -44. Let y = -10 + -9. Let v = y - -34. What is the smallest common multiple of v and l?
120
Let m = -18 + 25. Let p be 1/m + 466763/117040. Let w = 41/95 + p. Find the common denominator of 119/24 and w.
48
Suppose 0 = -0*q + 10*q - 860. Suppose -2*o = -3*n - 28, -5*o + 2*o = -5*n - 44. Find the common denominator of 69/2 and ((-6)/o)/(6/q).
4
Let n = -40636 + 12272083/302. What is the common denominator of n and -81/14?
2114
Suppose -7 - 4 = 4*n + 5*y, n = 3*y - 7. Let w(v) = v**3 - v**2 - 9. Let d be w(0). Let c = n - d. Calculate the least common multiple of c and 4.
20
Let x(k) = -k**3 - 5*k**2 - 3*k - 7. Let r be 1*16 + (-1)/1. Let m = 21 - r. Calculate the lowest common multiple of x(-5) and m.
24
Let y(n) = 2*n - 2. Suppose 2 + 0 = m. Let u = 15 + 5. Calculate the smallest common multiple of u and y(m).
20
Let g = -1047 - -1070. Let o = 8 - 4. Calculate the least common multiple of g and o.
92
Let f(p) = -1260*p**2 + 3*p + 3. Let k be f(2). Let u = k - -50381/10. Find the common denominator of -97/14 and u.
70
Suppose 2*f - 184 = 4*u, 5*u = f + 13 - 108. Calculate the smallest common multiple of f and 144.
720
Let k = -65 - -75. What is the least common multiple of 8 and k?
40
Let f = -11 - -21. Let v = f + -6. Suppose 55 = 4*a + d, -2*d + 5*d + 3 = 0. Calculate the least comm