ple of h and 45.
2385
Let r(d) = d**3. Let q(x) = x**3 + 8*x**2 - 6*x - 12. Let m(i) = q(i) - 2*r(i). Let g be m(7). Calculate the common denominator of -3 + ((-65)/34)/g and 53/4.
68
Let w be (-1)/9 - 12849/27. Let g be (19/(114/w))/(4/(-6)). Let u = g - 114. Calculate the lowest common multiple of 11 and u.
55
Let g = 34511/5 + -8558743/1240. Let c = -569/4 + 143. Calculate the common denominator of g and c.
248
Suppose 0 = -3*d - 11 + 68. Let g = -3 + d. Suppose 0 = -4*x + g, p + 0*x - 20 = x. What is the smallest common multiple of 3 and p?
24
Suppose g + 553 = 13*l - 14*l, 4*g - l + 2197 = 0. Let a = g + 870. What is the smallest common multiple of a and 18?
2880
Let j(f) = 5*f. Let r be j(9). Suppose 2*y - 66 = -4*m, 3*y + r = m + m. Calculate the smallest common multiple of 4 and m.
36
Let n = -174 - -196. Let w(k) = -6*k + 140. What is the least common multiple of 3 and w(n)?
24
Let o be 192518/(72/(-27)*6/(-4)). Let f = -49893 + o. Let a = -1800 - f. Calculate the common denominator of a and -53/50.
50
What is the common denominator of ((-2)/3)/((-660)/657) and 18/(-27)*(-111)/(-192)*-6?
880
Let j be 2/(-9) - 29/(-9). Suppose j*q - 1867 = 146. Let g = 10747/16 - q. Calculate the common denominator of 53/11 and g.
176
Let q be (-113384)/720 + (-2)/9. Let y = q - -158. Calculate the common denominator of 11/48 and y.
240
Let i = -15793561 + 679013870/43. Let z = -2541 - i. Find the common denominator of z and -93/8.
344
Let v(q) = q**2 - 33*q - 120. Let d be v(37). Calculate the common denominator of 558/140 + 4/(-14) and 62/d + 1 - (-3 - 2).
70
Suppose 2*i + 3 = -j + 2, 5*i + 5*j + 5 = 0. Calculate the smallest common multiple of 25 and 1*(4 + i)*5.
100
Let a be (-4)/((-8)/7)*(-140)/(-49). Calculate the common denominator of -149/6 and -5 + 3/a - 4/10.
30
Let l = 13784 - 399761/29. What is the common denominator of l and -91/264?
7656
Let x(d) = -6*d**2 - 12*d + 1. Let u(b) = 4*b**2 + 12*b - 1. Let y(w) = -4*u(w) - 3*x(w). What is the least common multiple of 6 and y(10)?
162
Let r = -1756 - -1768. Calculate the smallest common multiple of r and 432.
432
Let k(y) = -114*y + 818. Calculate the least common multiple of ((-15)/(-6) + 0)*(0 - -236) and k(7).
1180
Let y be (-36954)/(-117) - (-8)/52. Suppose -4*t + 16 = 0, -t - y = 3*x - 7*x. Calculate the smallest common multiple of 10 and x.
80
Let c be (6 - 8201570/(-960))/((-18)/248). Let f = c + 117790. Find the common denominator of 55/3 and f.
216
Let d = 2565292/255 + -10060. Let t = d - 575/204. Calculate the common denominator of -25/44 and t.
220
Suppose 180 = 2*k - 4*d, 5*d + 0*d + 266 = 3*k. Calculate the common denominator of -91/16 and k/(-697) + (-1021)/(-3910).
1840
Let v(x) = x**2 - 8*x - 415. What is the smallest common multiple of v(25) and 164?
820
Let f be 2/(-8) + ((-1372)/(-16))/7. Let m be 98/f - (3 + (-34)/12). Suppose 10*y = m*y + 32. What is the smallest common multiple of y and 18?
144
Let v(i) = i + 51. Let k be v(-15). Suppose 0 + k = 2*d. What is the least common multiple of 39 and d?
234
Let q(p) = -p**3 + 14*p**2 - 24*p. Let y be q(12). Let m be y + (3/4890*16)/(-2). Let f = 9299/1630 + m. What is the common denominator of 43/20 and f?
20
Let h(r) = 49*r**2 + 144*r + 54. Calculate the least common multiple of h(-6) and 288.
15264
Let j = -3816 - -4080. Calculate the least common multiple of 46 and j.
6072
Let b = 86600 + -86528. Calculate the lowest common multiple of 48*3/(9/2) and b.
288
Let f(q) = 179*q + 51. Let w be f(-8). Let r = w + 16549/12. Calculate the common denominator of -41/4 and r.
12
Suppose 1097*f - 1125*f = -12936. Calculate the smallest common multiple of 18 and f.
1386
Let p = 4/6614143 + 54295489567/17064488940. Let u = -192/43 + p. Calculate the common denominator of 19/84 and u.
420
Let g(c) = -12*c - 13. Let a(m) = m**3 + 19*m**2 + 35*m + 15. Let w be a(-17). Calculate the least common multiple of 7 and g(w).
77
Find the common denominator of 101/318 and 0 + -11 + (-2934)/(-264).
6996
Calculate the common denominator of 29/252 and (2/22 + (-72)/264)/(2/(-37)).
2772
Suppose 7*q = -q - 1296. Calculate the common denominator of (-1 - 80/(-14))*(-6)/q and 55/21.
63
Let l = -329 - -385. Calculate the least common multiple of ((-98)/(-343))/(2/l) and 68.
136
Let r(o) = o**2 - 7*o + 16. Let g be r(5). Let w be (-13)/(12792/1035) - g/(-4). Let y = w + 366/41. What is the common denominator of y and -81/8?
8
Suppose 213*j + 3*g - 184 = 212*j, j = -4*g + 184. Calculate the smallest common multiple of j and 460.
920
Suppose 2*a + 8 = 66. Let m = -1544 + 13928/9. Calculate the common denominator of 0 + 2 - a/2 and m.
18
Calculate the common denominator of 41/6782 and (-263)/18 - (-16 - -6).
61038
Suppose 60*k - 252 = 42*k. Calculate the smallest common multiple of k and 4844.
4844
Suppose 3*k + j - 35 = -0*k - 0*j, 0 = 12*k + 3*j - 141. Let l = -51 + 95. Let z = 74 - l. Calculate the smallest common multiple of z and k.
60
What is the lowest common multiple of 189 and (301/(-28) + (-1)/(-4))*(-420)/245?
378
Let x = -536 - -551. What is the smallest common multiple of 30 and -1 + 9/x + 624/60?
30
What is the least common multiple of (10/30)/(803/(-804) + 1/1) and 32?
2144
Suppose -718 = -3*n + 2*t + 4273, -t + 6629 = 4*n. What is the least common multiple of n and 56?
13272
Suppose -5*h + 2*s = 70, 3*h + 63 = -s + 10. What is the common denominator of ((5 + -4)/h)/((-36)/112) and (-464)/90 - 4/(-18)?
180
Let s be ((-2)/(-6))/(2*(-5)/(-300)). Suppose s = -49*j + 51*j. What is the common denominator of 41/12 and (-1)/j - 3781/(-2280)?
24
Let j = 367 + -360. Let z(t) = t**2 - 8*t - 4. Let x be z(9). What is the lowest common multiple of j and 104/x - 4/(-20)?
21
Let c = -112 - -106. Calculate the common denominator of 1 + c + (-461)/(-74) and -69/8.
296
Let j(g) = -g**2 - 50*g - 234. Let q be j(-45). Find the common denominator of (-31698)/(-13608) + 2/q and -87/4.
28
Let u = 2/25117 + -2084731/251170. Let b = 53609/6 + -8886. Let w = 49 - b. Calculate the common denominator of w and u.
30
Find the common denominator of -57/5 and ((-3)/(90/228))/(48/(-45)).
40
Let c = 13281761/199492020 - -44/85253. Calculate the common denominator of c and -131/1872.
9360
Let u(v) = 2*v + 24. Let b be u(-11). Let z be (-72)/(-16) + b/(-4). Suppose 3*j - 87 = 4*k, z*k = 4*j - k - 117. What is the least common multiple of j and 33?
33
Let n be 76/95 - (-1 + (-32)/10). Suppose 48 - 8 = n*y. What is the common denominator of -49/6 and -4 - (-195)/y*4/(-12)?
24
Calculate the common denominator of -13/108 and (243/(-24) + 6)*(-11)/117.
2808
Let z be -1 + 28/2 + 3. Let y = 11 - z. What is the common denominator of -8/9 and 4/8*113/y?
90
Let a = 892 + -875. What is the lowest common multiple of 2*-18*(13 - a) and 8?
144
Let l = -47 - -49. Suppose 2*v + l*v = 72. What is the least common multiple of v and 30?
90
Let a be -4973*((-2 - -3) + 0). Let f = 107282129/18 - 5965086. Let x = f - a. What is the common denominator of -19/21 and x?
126
Suppose -2 + 52 = -5*j. Let g(d) = 16*d**3 - 2*d**2 + 2*d - 1. Let r be g(1). Calculate the common denominator of -81/16 and j/r - 303/99.
176
Suppose 3*i = 5*m - 992, 0 = 7*m - 2*m - i - 984. Let o = -183 + m. Calculate the lowest common multiple of 2 and o.
26
Let w = 124 - 4451/36. What is the common denominator of -53/276 and w?
828
Find the common denominator of 873/(-16632)*39/(-156) and 49/16.
7392
Calculate the common denominator of (-28)/264*(202401/15750 - 13) and -1/8.
11000
Suppose -5*p + 6 = 5*j - 3*j, -6 = 3*j. Calculate the lowest common multiple of 8 and p/((-4)/(-16)*4).
8
Suppose 2177 - 497 = 8*t. Suppose 0 = 5*o - t - 190. What is the lowest common multiple of o and 4?
80
What is the common denominator of 5 - 7 - (2 - (-115)/(-24)) and -2 + 3 + 2*(-1925)/2184?
312
Let h = -1764 - -2247. Calculate the smallest common multiple of h and 115.
2415
Suppose -24*p + 23*p = -3*y - 30627, -2*p = 0. Let c = y + 653415/64. Find the common denominator of 145/18 and c.
576
Let c = 456 + -4986/11. Let m = 264 - 174. What is the common denominator of c and (-1 - -4) + (5 - 207/m)?
110
Suppose 44*m - 1156 = 27*m. Suppose 4*v - 2*n - 42 = 0, 3*n = 3*v + 4*n - 29. Let f(c) = -c**2 + 10*c + 10. Calculate the lowest common multiple o