
Let l = 5 + -6. Let i(p) = -12*p. Calculate the least common multiple of i(l) and 18.
36
Let d = -71/4736 + 389353/7648640. Calculate the common denominator of d and -61/6.
9690
Let j = -107 - -112. Calculate the smallest common multiple of 354 and j.
1770
Let g be (-4)/(2*-2) - -5. Let n(d) = -2506*d - 12. Let h be n(g). Let w = h + 300877/20. What is the common denominator of 79/24 and w?
120
Suppose -2*d = -0*i - 3*i + 330, -i + 2*d = -114. Calculate the least common multiple of i and 54.
108
Let a(w) = w**2 - 2*w - 1. Let n be a(3). What is the common denominator of 2/160*n*-26 and 19/8?
40
Let m = 157/3 - 52. Let w = 7/24 + m. What is the common denominator of 43/14 and w?
56
Let a = -1993263/472 - -4223. What is the common denominator of a and -33/28?
3304
Let c = -8 + 13. Let i be (-3)/(-9)*(-12)/(-8)*-2. Calculate the lowest common multiple of 6 + 1*3/i and c.
15
Let r(q) = 3*q**3 - 2*q**2 + 2*q - 6. Let z = 41 - 29. What is the lowest common multiple of r(2) and z?
84
Let a be -6 + 6 - (-13196770041209)/2809786719670. Let w = a + -2/4152394167. Let q = w - -2/609. What is the common denominator of q and 5/3?
30
Let b = -1078 + 2215/2. What is the common denominator of b and 1*3 - 85/16?
16
Let j be 3/12 + (-9163473)/352. Let o = -26035 - j. Calculate the common denominator of -17/4 and o.
32
Let b = 708937/110 - 6445. Find the common denominator of 111/70 and b.
770
Let v = -7173 + 36006/5. Let q = 563/20 - v. Find the common denominator of -109/6 and q.
60
Suppose 84*l - 80*l - 112 = 0. Calculate the lowest common multiple of l and 4.
28
Let b be (4 - (1 - 0))*-1. What is the least common multiple of 33 and (b - -4) + 2 - -36?
429
Let j = -470351410607627/191931464160380 - -12/14915407535. Let r = 2/3217 + j. Calculate the common denominator of r and 1 - (-2)/(48/238).
60
Suppose -5*x + 72 = -3*x. Let i(g) = -5*g - 8. What is the lowest common multiple of x and i(-3)?
252
Let h = 298 + -1777/6. Let w be -180*((-6)/12 - (-14)/12). Find the common denominator of h and ((-65)/w)/((12/27)/4).
24
Suppose 0 = s - 38 - 18. Suppose 0 = 3*g - 2*h - 168, s = g - 6*h + h. Calculate the smallest common multiple of 8 and g.
56
Let l(y) = -y + 12. Let n be l(9). Let t be 37 - (-5 + (n - 0)). Let d = t - 27. Calculate the lowest common multiple of 2 and d.
12
Suppose 0*o = 11*o - 9042. Calculate the common denominator of -44/3 and (o/(-180))/((-4)/10).
12
Suppose 4*v - 18542 = f, -3*v = 2*f + 24044 + 13095. Let s = 296899/16 + f. Find the common denominator of s and -2 + 87*(-1)/(-14).
112
Suppose -127 = -8*k + 665. Calculate the lowest common multiple of k and 15.
495
Let a = 530/189 - 35117/12096. What is the common denominator of a and -43/168?
1344
Let p = 2 - 3. Find the common denominator of 15/3 + 22*10/48 and (p/(-10))/(8/(-444)).
60
Let g = 37 + -26. Let a(p) = -16*p**2 + 14*p**2 - 1 - 11*p - 2. What is the smallest common multiple of a(-5) and g?
22
Let o = -41 + 64. Let c = -11 + o. What is the lowest common multiple of 7 and c?
84
Calculate the common denominator of (7 - 498/(-24))/(9/(-2)) and 55/8.
24
Let c = -677 - -2629/4. Calculate the common denominator of c and 17/40.
40
Calculate the common denominator of -13/866 and -2 + (-3)/36*-426.
866
Suppose 3*k - 2*x = 24, 4*k = k - 5*x + 24. Suppose k = -4*c, -2*c + 8 = 4*y + 2*c. Calculate the least common multiple of y and 6.
12
Let a = -1119 - -2139/2. Find the common denominator of a and 2/83.
166
Let i = -1225347303/2 + 3036695723/5. Let n = -5326617 - i. Let x = 7897 - n. Calculate the common denominator of 70/3 and x.
30
Calculate the least common multiple of 29 and ((-8)/(-7))/(12/42).
116
Let l(c) = -c**2 - 23*c - 70. Calculate the lowest common multiple of l(-18) and 8.
40
Let w = 1 - 2. Let s(k) = -2851*k + 1. Let i be s(w). Let a = 62677/22 - i. Find the common denominator of a and -73/14.
154
Suppose 17 = 2*d + 3*n, 18*d - 14*d = 5*n + 45. Calculate the least common multiple of d and 30.
30
Let c = 380091/20 + -18999. Find the common denominator of c and 41/140.
140
Suppose -q = -5*q + p - 12, 5*p = 4*q + 12. Suppose 0 = 4*a + 20, -3*t + a = -8*t + 10. Calculate the smallest common multiple of q/((-6)/(-7))*-2 and t.
21
Let q be 5267/5313 + (-18)/(-22) + -1. Let v = q + -85/7. Find the common denominator of v and -113/12.
12
Suppose -2*d + 10 + 8 = 0. Let v(p) = -2*p**2 + 1 - p + 5*p**3 + 8*p**3 - 12*p**3. What is the lowest common multiple of v(0) and d?
9
What is the common denominator of 53/590 and ((-357)/(-408))/(1/(-52))?
590
Let m = 736 + -39751/54. What is the common denominator of -59/114 and m?
1026
Let o = 159409/154 - 7264/7. Let d = 199875/376 + -4249/8. What is the common denominator of o and d?
1034
Let h = -48358 - -12035. Let j = h - -1089863/30. What is the common denominator of j and 11/21?
210
Let x(a) = 5*a + 122. Let c(f) = 2*f**2 - 12*f + 7. What is the smallest common multiple of x(-23) and c(8)?
273
Let k(y) = -20*y - 9. Let g(a) = a**3 + 14*a**2 - 31*a + 15. Let o be g(-16). Calculate the smallest common multiple of k(o) and 16.
176
Let s = -19/173 + -9517/1557. What is the common denominator of s and 49/30?
90
Suppose 2*f - 9 = f. Let j = 11060 + -11058. What is the least common multiple of f and j?
18
Let z be 136340/(-198) - 14/(-63). Let p = 689 + z. Let h = -397/145 - -4/29. Calculate the common denominator of h and p.
55
Find the common denominator of 23/129 and 486/648*(80/27)/2.
387
Let a = -898921/245 + 3669. Let m = -11387/1960 + a. Calculate the common denominator of m and 36/13.
104
Let c be 388/10 - (-100)/(-125). Let p be (1/4)/((-18)/2720). Let l = c + p. Calculate the common denominator of 17/6 and l.
18
Suppose 12*n - 16*n = -4*y - 688, 2*n - 328 = -2*y. What is the smallest common multiple of n and 27?
1512
Let p = 3422 - 3310. Calculate the smallest common multiple of 56 and p.
112
Let p = -41197/88 + 469. Calculate the common denominator of p and -73/56.
616
Suppose -3*r + 3*y - 29 = -2*y, -13 = r - 5*y. Calculate the common denominator of 63/16 and (-155)/(-76) + (-2)/r.
304
Let l = 1193649/64 + -18652. Calculate the common denominator of 83/80 and l.
320
Suppose -211*z + 1919 = -1457. Suppose 0 = -4*y + 2*k + 2*k + 36, -5*k + 39 = 2*y. What is the least common multiple of z and y?
48
Let v(y) = 4*y - 6. Let r be v(3). Let q(x) = -5 + x**3 + 5 - 2 + 22*x - r*x**2 - 15*x. Calculate the smallest common multiple of q(5) and 7.
56
Let h = -33 - -35. Suppose 5*x - 48 = 2*u, h*x + 3*u = 3 + 1. Calculate the smallest common multiple of 8 and x.
8
Let p = 209 + -180. Let x be -1 - -9 - (2 - 1). Suppose -p*f = -28*f - x. What is the smallest common multiple of f and 7?
7
Let n = -23/80 + -461/80. What is the common denominator of n and -19/8?
40
Let m = 381 - 377. Suppose 3*h = 47 + 31. What is the least common multiple of m and h?
52
Let y(o) = o**3 - 9*o**2 + 12. Let m = -4 - -6. Calculate the lowest common multiple of m and y(9).
12
Let v(h) = h**3 + 9*h**2 + 10*h + 2. Let y be v(-8). Let f = y + 12. Let w(s) = 2*s**2 - 2. Calculate the least common multiple of w(f) and 32.
96
Let z be (8/12)/((-1)/(-6)). Suppose -3*o = z*d - 3*d - 42, 0 = -3*o + 2*d + 42. Let i = 22 - 10. What is the smallest common multiple of i and o?
84
Suppose -g - q = -4*g + 7, 4*q = 8. Let j be (2/(-6))/(g/(-45)). Suppose j*w - 14 = 3*w. Calculate the smallest common multiple of 1 and w.
7
Let r = 14 - 8. Let g(q) = -q**3 + 6*q**2 + 1. What is the smallest common multiple of g(6) and (-2)/r - (-52)/12?
4
Let b = -1385/4 + 1702/5. Find the common denominator of b and 11/10.
20
Let j = 465 + -453. Calculate the lowest common multiple of 144 and j.
144
Calculate the common denominator of 131/18 and (25/90)/((-105)/(-1467)).
126
Let c(t) = -t**2 + 11*t + 16. Let i be c(12). Suppose 0 = i*d - 46 + 6. Let b(m) = m**2 - m - 1. Calculate the least common multiple of d and b(-3).
110
Let z be -3 - (0 + (-150)/2). Let s = -1297 - -2647/2. Calculate the common denominator of s and 6/(-24) - (-626)/z.
18
Suppose -7*j + 3*j = -16602531548. Let k = 27294561942731/6576 - j. Let c = 1/2192 - k. Find the common denominator of -53/8 and c.
24
Let g be -3 + (-2)/(-2 - (-28)/16). Suppose -g = -14*z + 9*z. Calculate the lowest common multiple of z and 4.
4
Suppose n - 12 = -5