Find the common denominator of z and -1 + (116/3)/(-4).
6
Let g(t) = 3*t**3 - t**2 - 2. Suppose z + 4 = -2*o, 0*o = 4*o + 12. Suppose -7*r = -9*r + 32. Calculate the least common multiple of r and g(z).
144
Let z be -15*2*13239/(-18). Let u = z - 441211/20. What is the common denominator of u and -43/18?
180
Calculate the least common multiple of 1547/56 - 9/(-24) and 3.
84
Calculate the common denominator of (16/(-150))/(52/(-468)) and -44/15.
75
Let t be (-6)/((-2)/(-4) - -1). Let a = 2 - t. Calculate the lowest common multiple of a and -3*1 + (-1 - -7 - -1).
12
Suppose 6*p + 163 = 433. What is the least common multiple of (-25)/(1 + 0 + -2) and p?
225
Suppose 0*q + q = 4. Suppose -7*y + 17 = -11. Calculate the lowest common multiple of y and q.
4
Suppose 0 = 5*y + 44 + 281. Let w = 81 + y. What is the lowest common multiple of 12 and w?
48
Calculate the lowest common multiple of 6 and (-24)/84 - (-116)/14.
24
Let o(s) = -9*s + 64. Calculate the smallest common multiple of 492 and o(6).
2460
Find the common denominator of 2 - (-1 - -1) - 17596/13114 and 16/7.
553
Let t be 30/(-40) - (-46)/8. Suppose 4 = v, -v - t = -3*x + 3*v. What is the lowest common multiple of 3 and x?
21
Suppose -5*l = 4*d - 2*d, 0 = -5*l + d. Suppose z - 6*z - 2*x = -64, -5*z - 3*x + 61 = l. What is the lowest common multiple of z and (5 + -6)/(1/(-24))?
168
Suppose -56*s + 1229 = 53. What is the smallest common multiple of s and 30?
210
Let f = -59423/6 - -9881. Let d = -5 - -4. Calculate the common denominator of f and d*3 - (-356)/40.
30
Calculate the common denominator of -2 + 24/3 + (-346)/92 and (-3)/(-4)*(-54)/(-10).
460
Suppose -a - 5*c = 2 - 58, a = 2*c + 91. What is the lowest common multiple of 216 and a?
648
Let p be ((-9)/(-6))/((-1)/(-8)). Find the common denominator of 57/p*(-12)/66 and -13/6.
66
Calculate the common denominator of (-1)/(-8)*((-7062)/18)/(-11) and 131/12.
24
Let s = -70 - -199. Find the common denominator of s/30 + (-1 - 0) and -25/8.
40
Let g(y) = -y**2 + 18*y - 41. Let w be g(13). Find the common denominator of (1*116/w)/(10/4) and -7/24.
120
Let k = -9378393/14 - -670183. Let c = -296 + k. Calculate the common denominator of (459/30)/(48/20) and c.
56
Suppose -s + 5 = 2. Let a(h) = -h**2 + 33. Let f be a(5). Suppose 0 = -f*d + s*d + 20. Calculate the least common multiple of 18 and d.
36
Let f(s) = s**2 - 2*s - 5. Let j be f(4). Suppose z = 23 - 8. Suppose z = v + j. Calculate the least common multiple of v and 22.
132
Calculate the common denominator of 70/(-96) - (-14 + 15) and 31/24.
48
Let c = 57 + -63. Calculate the common denominator of -85/24 and (-99)/121*26/c.
264
Suppose 0 = 4*s - 7 + 19. Let h be -6 - -6 - (-841)/s. Let a = 271 + h. Find the common denominator of a and -99/2.
6
Let r(a) = a**3 - 17*a**2 - 21*a + 25. Let n be r(18). Find the common denominator of 11/14 and n/(-2)*(-48)/(-128).
112
Suppose -5*z = -2*z - 36. Let q = -32 + z. Find the common denominator of -99/10 and (238/24)/(q/8).
30
Let w = 15 - 5. What is the least common multiple of w and (24/9*-9)/((-6)/16)?
320
Suppose -5*k - 11 = -4*t + 11, 0 = 2*t + 2*k - 20. Calculate the smallest common multiple of t and 40.
40
Suppose -v = 14*r - 16*r - 3, -r = -3*v + 14. Let m(l) = l - 5. What is the lowest common multiple of m(6) and v?
5
Let n be 3 + (-1)/((-122)/(-346)). Let h = -4551/1342 + n. Find the common denominator of h and 23/12.
132
Let v = -19604/9 - -2176. Find the common denominator of -15/128 and v.
1152
Let i be (-4820)/(-78) + 12/18. Let m = 16246/273 - i. Calculate the common denominator of 1/12 and m.
84
Let b = -350 - -428. Calculate the lowest common multiple of b and 10.
390
Let i = 40 - -51. What is the smallest common multiple of 10 and i?
910
Let o(u) = u**2 - 10*u + 7. Let r be o(9). Calculate the smallest common multiple of 7 and (r - -5) + (0 - -4).
7
Let g be 2 + 3*(-3)/9. Let r be g/(-4*5/(-980)). Suppose 0*d + 5*a - r = -2*d, -2*d + 39 = 3*a. Calculate the least common multiple of 12 and d.
12
Let y = -8141 + 97751/12. Let c = 3086 + -37027/12. What is the common denominator of y and c?
12
Let t = -12/27391 - -330943/328692. Find the common denominator of t and 145/48.
624
Let l = 2/2427 + -21875/38832. Find the common denominator of l and 85/226.
1808
Let m(w) = -w. Let j(z) = -3*z + 10. Let k(s) = -j(s) + 4*m(s). What is the common denominator of 47/11 and k(12)?
11
Let p be (-432 - -4)/(1/(-2)). Let l = p - 9457/11. Let i = -64/41 - 331/287. Find the common denominator of i and l.
77
Let m be (8920/4845)/(3/9). Let q = 76/17 - m. What is the common denominator of 17 and q?
19
Suppose -5*b + 20 = 0, b + 3*b - 8 = -4*k. Let d(c) = c**3 + 4*c**2 - 3*c - 2. Calculate the least common multiple of d(k) and 16.
48
Let i(z) = 10*z**2 - 3*z - 4. Let l be ((-1 + 2)*(-1 + 0))/1. What is the smallest common multiple of i(l) and 21?
63
Suppose -40*k = -23*k - 3060. Calculate the least common multiple of k and 90.
180
Calculate the common denominator of -29/273 and 35/(8085/(-84)) - 607/297.
2457
Let w = -13983/1705 - -2/1705. Find the common denominator of w and -83/10.
10
Suppose -3*j - 2*a - 66 = 0, 7 - 95 = 4*j + 4*a. Let h = -2117 + j. Find the common denominator of 6/(-27) + h/(-270) and 59/14.
70
Suppose 0 = -5*j + 8*j. Suppose -k + 4*o + 33854 = 2*k, -5*o + 20 = j. Let n = -113007/10 + k. Find the common denominator of n and 11/16.
80
Let y = -4723689/140420 - -9977/1239. Let i = y + 1078/51. Let j = -6279/4 - -1561. Find the common denominator of j and i.
20
Let o = 63896351537/458951688 + -1671142/168435. Let b = o - 11/13624. Let p = b + -869/5. Find the common denominator of 89/2 and p.
2
Let v be ((-104)/(-16) - 3)*1*28. Suppose 2*z + v = 5*d, 3*d - 34 = -0*z - 5*z. What is the lowest common multiple of d and 8?
72
Let i be 2/5 - ((-1208740)/(-150) + -6). Let x = -8057 - i. What is the common denominator of 143/12 and x?
60
Let k be 386/(-10) + (-4)/10. Find the common denominator of ((-2130)/4)/15*(-1 + 2) and 5/(-18)*k/(-2).
12
Let a = 8 + -8. Suppose -12 = -r + 4*q, a = 2*q - 5*q - 12. What is the least common multiple of 22 and r - ((-144)/4)/3?
88
What is the common denominator of -86/231 and (-112)/14 - 96/(-14)?
231
Let u = -133 + 211. Calculate the least common multiple of 16 and u.
624
Let o be (42/4 - 2)*948/(-6). Let p = 8029/6 + o. Find the common denominator of p and 83/4.
12
Suppose y + 28 = 3*y - 5*p, -2*p - 4 = 0. What is the lowest common multiple of 78 and y?
234
Let m be -22*((-10)/(-4) + -2). Let x = m - -15. Suppose -5*r - x = -49. Calculate the lowest common multiple of 10 and r.
90
Let h(o) = -o**3 - 20*o**2 - 65*o + 14. Calculate the smallest common multiple of h(-16) and 20.
60
Suppose -2*z + 58 = -5*p, z + 2*p - 30 = -z. What is the lowest common multiple of z and 3?
57
Let q be 9/(-2)*4/(-6)*1. Suppose q*n - 3 = 0, -2*y + n + 11 = -0*y. Calculate the smallest common multiple of y and 52.
156
Let d = -5/11876 + -132844/44535. Find the common denominator of d and -79/100.
300
Let l(y) = 6*y**2 + 45*y - 87. What is the least common multiple of l(2) and 33?
297
Suppose 2*d + 3*d = -2*p + 39, d + 9 = 2*p. Let b be 10/(-15)*21/(-2). Suppose x - b = 3. Calculate the lowest common multiple of p and x.
70
Let w = 9 + -11. Let j(r) = -r + 4. Calculate the least common multiple of 12 and j(w).
12
Suppose 0 = 4*b - w + 3*w - 20, 4 = -b + 4*w. What is the least common multiple of 4 and b?
4
Suppose 0 = -4*x, -3*v - 2*x - 76 = -25. Let g be 4/(-12)*(v - 1). What is the common denominator of 27/2 and 20/g*143/78?
18
Let z(k) = k - 5. Let s be z(4). Let r be (-10)/(-3*s/3). Find the common denominator of 5/r + 206/32 and 143/6.
48
Suppose 4*g - 5*c = 57, 3*c + c - 4 = -3*g. Suppose -j = -3*j + g. What is the smallest common multiple of 68 and j?
68
Let c = 24138916401 - 656385414650237/27192. Let y = -1/3399 - c. Calculate the common denominator of -13/9 and y.
72
Find the common denominator of -92/165 and ((-322)/15)/(7 - 225/15).
660
Suppose 6*i - 4*h - 62 = 3*i, i + 3*h + 1 = 0. Suppose 3*x + i*x = 153. What is the least common multiple of 11 and x?
99
Suppose -489 = -9*p + 6. Calculate the least common multiple of p and 88.
440
Suppose 0 = 4*q + 4*a - 8, 0 = -5*q + 8*a - 12*a + 12. Let i(j) = -j + 15. Calculate 