54. Let q = 1 + 2. Suppose -2*b + 28 = 3*w + 8, -2*w = q*b - 10. Calculate the least common multiple of g(8) and w.
72
Let z be (-9)/6 + (-3958374)/(-154). Let j = z - 25707. Calculate the common denominator of j and (-46)/(-16) - 2/(-8).
88
Find the common denominator of -79/196 and -4*4/56 + (-3105)/(-504).
392
Suppose 4*f = -t + 82, -25 = 31*f - 32*f + 2*t. Calculate the smallest common multiple of f and 27.
189
Calculate the common denominator of (45/(-63))/(54/2415*5) and 59/27.
54
Let j = 1/1392 - -3789/464. Find the common denominator of -24/25 and j.
150
Let v(g) = -g**2 - 29*g - 17. What is the smallest common multiple of (1 - 3) + 2 + 10 and v(-28)?
110
Suppose 0 = 7*b - 1054 + 207. What is the smallest common multiple of 121 and b?
121
Let y = 151 + -145. Let f = -5 + 8. Suppose f*u + d - 21 = 34, 0 = 4*u - 2*d - 90. Calculate the lowest common multiple of u and y.
60
Let n = 60373/2898 + -1369/69. What is the common denominator of 101/630 and n?
630
Let c = -54838 + 1974041/36. What is the common denominator of c and -23/32?
288
Suppose 0*z + 2*a + 170 = 5*z, 4*z - 4*a = 148. Let w = 48 - z. Suppose -4*y + 2*l = -124, 2*y = y - 4*l + 22. What is the least common multiple of y and w?
240
Suppose 0 = s + 4*x - 123, 0 = -5*s + 4*x + 317 + 202. Let n = -100 + s. Calculate the lowest common multiple of 9 and n.
63
Let n be 15*(8/6 - 1). Suppose -4 = -5*t - 3*p, -4*t + 3*t - 8 = n*p. Suppose -4*w + 32 = -t*w. What is the lowest common multiple of 2 and w?
16
Let n = 440 + -389. Calculate the smallest common multiple of 7 and n.
357
Let o = -8051 - -1223747/152. Calculate the common denominator of 71/18 and o.
1368
Let u(r) = r**2 - 5*r + 2. Suppose 0 = -p - 2*p + 12. Let z be u(p). What is the smallest common multiple of 0 + (z - 2*-2) and 12?
12
Let f(n) = -n**3 + 7*n**2 - 5*n + 6. Suppose 124 = 4*m + 56. Suppose m*h + h = 396. What is the lowest common multiple of f(6) and h?
132
Suppose 3*c - 17 = 13. Suppose -5*o + 3*t - c = 0, 4*o + 0*o + 8 = 3*t. Find the common denominator of (-19)/(-22)*(o + 1) and 9/20.
220
Let v(p) = -p**3 - 9*p**2 + 0*p**3 - 7 - 1200*p + 1190*p. Calculate the least common multiple of v(-8) and -7*-1*1/1.
63
Let m = 157 + -147. Let h(g) = -g - 4. Let z(a) = -a. Let l be z(11). What is the smallest common multiple of m and h(l)?
70
Let t(x) = -7*x - 28. What is the smallest common multiple of 3 and t(-11)?
147
Suppose 0 = 10*v - 3*v - 140. Suppose 72 = -2*s + 6*s. What is the lowest common multiple of s and v?
180
Let g(z) = -z**3 - 2*z**2 + 2*z. Let m be g(-5). Let a = m - 79. Find the common denominator of a and 0 + ((-22)/(-6) - -2).
3
Suppose -3*d + 69747 = 64*d. Calculate the smallest common multiple of 24 and d.
8328
Let w be ((-910)/8)/(9/126). Let p = w + 1636. What is the common denominator of -109/12 and p?
12
Let w(p) = -3*p + 2. Let x(a) = -a - 1. Let t be x(-3). Let s be w(t). Calculate the least common multiple of s + 2 + 8 + 1 and 1.
7
Let l be (-3)/(-18) + 564/4851 + -1. Let t = 8/11 + l. Find the common denominator of 5/2 and t.
98
Suppose 44*t = 50*t + 912. Let z = t - -786/5. Let l = -21850/9 - -2431. Calculate the common denominator of l and z.
45
Let x = -476 - -486. Calculate the least common multiple of 55 and x.
110
Let i be (-13 - 0)/(3/6). Find the common denominator of 47/20 and (-4)/(-8)*i/3.
60
Let n(g) = 4*g - 34. Calculate the least common multiple of n(12) and 26.
182
Calculate the common denominator of (((-2)/94)/((-6)/(-114)))/1 and -22*(-3 + 2) + 1.
47
Let t be (15 + -33)/((-2)/(-3)). Let b = t + 35. What is the lowest common multiple of b and 2?
8
Let p(r) = -r - 10. What is the least common multiple of 130 and p(-16)?
390
What is the least common multiple of 72/264 - 63/(-11) and 318?
318
Let h = -15 - -19. What is the smallest common multiple of (-550)/(-45) - h/18 and 30?
60
Let d = -36931/9 + 4106. Let x = -565/7 - -89. Calculate the common denominator of x and d.
63
Suppose 0 = 3*f - 14 - 7. Let j = f + -2. Suppose 64 = 3*b + 2*n, -2*b + 3*n + 60 = -0*n. Calculate the lowest common multiple of b and j.
120
Let s(n) = -n - 12. Let l be s(-15). Suppose l*c = -5*o + 12, 21 = c + c - o. Calculate the least common multiple of c and 9.
9
Let z = -8047/1992 - 14/83. What is the common denominator of z and -26/15?
120
Calculate the lowest common multiple of (-32)/(-480) - 8398/(-30) and 210.
840
Calculate the common denominator of ((-99882)/2916)/(-31) + (-2)/1 and -73/297.
1782
Let s(l) = -3*l + 6. Let z be s(-6). Let j be 12/42 + z/14. Suppose -j*c - 2*c - 8 = -5*m, 0 = -2*c + 6. What is the lowest common multiple of 20 and m?
20
Let n = 370 + -344. Calculate the smallest common multiple of 22 and n.
286
Let f(b) = b**3 - 5*b**2 + 4*b - 1. Let g be f(4). Find the common denominator of (-44)/(-9) - ((-1)/1 - g) and -145/24.
72
Suppose 5*i + h - 40 = 4*h, 0 = -2*h - 10. Let p(l) = -5 - i*l + 3*l + l**2 - 5*l. Calculate the lowest common multiple of p(9) and 5.
65
Let q = -93545737/320 + 292331. Let x = -21/64 - q. Calculate the common denominator of x and 77/100.
100
What is the common denominator of -49 - -43 - ((-38217)/5454 + 1) and -101/16?
14544
Suppose 8*z - 21 = 19. What is the smallest common multiple of 52 and z?
260
Let b = 68 - 53. What is the common denominator of 35/(-16)*(-6)/15 and (1 - 17/b)/(16/(-102))?
40
Calculate the common denominator of -64/3 and ((-102)/36 - -2)*(-2)/(-6).
18
Suppose -575 - 85 = -5*b. What is the smallest common multiple of 48 and b?
528
Let k(g) = -g**2 + 2*g - 1. Let h(t) = t**2 - 3*t. Let w(p) = -2*h(p) - 3*k(p). Calculate the least common multiple of w(3) and 11/(4*1/8).
132
Let g be 1 + ((-8645)/28 - -8). Let o be (-298)/(1/1) + 0. Let a = g - o. Calculate the common denominator of 85/6 and a.
12
Let o = -132463/20 + 6625. Find the common denominator of 13/206 and o.
2060
Calculate the common denominator of (16 + -15)/((-10)/38) and 49/265.
265
Let w = 65/6 - 224/15. Calculate the common denominator of 233/24 + 4/6 and w.
40
Let n(q) = -9*q + 1. Let p = -66 + 95. Let x = -13 + p. Calculate the lowest common multiple of n(-1) and x.
80
Suppose x - 2*x + 12 = 5*g, 4*x + 4*g - 48 = 0. What is the lowest common multiple of 160 and x?
480
Let g(n) = -11*n - 6. Let q(k) = -k**3 - 5*k**2 + 6*k + 6. What is the lowest common multiple of q(-6) and g(-2)?
48
Let m = -230528 + 143618903/623. What is the common denominator of m and 45/8?
4984
Let f(s) = -s - 2 + 4*s + 0*s - s. Suppose 5*j + 53 = 4*x, 5*x - 4*j - 55 = -0*j. Calculate the smallest common multiple of f(4) and x.
42
Let n = 26 + -18. Suppose 3*o + 5 = -g - 1, -o - 18 = -5*g. Suppose 6*d - 15 = g*d. What is the least common multiple of d and n?
40
Let c be 7/((-98)/(-1884)) + 0. Let q = c + -5109/35. Find the common denominator of 48/11 and q.
55
Let l(k) = k**3 - 7*k**2 + 2*k - 7. Let h be l(5). Let x = h + 69. Let y = -26 - -44. Calculate the smallest common multiple of y and x.
198
Let j = 14 + 5. Let k = j + -17. Suppose -m + k + 6 = 0. Calculate the lowest common multiple of m and 20.
40
Let q = 505 - -383. Let k = 101277/20 + -5065. Calculate the common denominator of (-2)/7 - q/(-560) and k.
20
Let y = 274567/71 + -3867. Let a = -538/213 - y. Find the common denominator of 29/24 and a.
24
Suppose -4*d = -3*d + 88. Let t = -48949/1554 - 1/777. Calculate the common denominator of t and 435/d + (-2)/11.
8
Suppose -2*o - 12 = 2. Let d = o + 13. What is the least common multiple of 0 - 2*(-2 - 3/(-2)) and d?
6
Let u = 124657/40 + -3114. Find the common denominator of 3/46 and u.
920
Let b = -4 - -7. Calculate the smallest common multiple of b and (-20)/12*(1 - 4).
15
Let m = 855 - 7664/9. Let q = 7958/363 + -1302218/56265. Let f = q + 73/31. Calculate the common denominator of m and f.
45
Let i = -16 - -24. Let o = -59 - -115. Suppose 2*r - o = 5*a, 4*r - 52 = -3*a - 2*a. Calculate the lowest common multiple of r and i.
72
Let d = 225 + -87971/391. Let t = 36371/782 - d. Find the common denominator of (-2)/(-4) + (-3)/24 + 3 and t.
8
Let c = -8 + 12. What is the common denominator of 25/c*(-9)/18 and 728/16 + (-4)/2?
8
Let u = -5435/2 - -43567/16. Calculate the common denominator of -23/34 and u.
272
Let q = 3/2642 - -100363/29062. Suppose -6 = -3*s + 6. Find the common denomina