2*a + 18 = 0, m = -2*r + 3*a + 40 - 5. Calculate the least common multiple of r and 10.
80
Let w(p) = 2*p**3 + 19*p**2 - 18*p - 45. Let f be w(-9). Suppose -53*x = -47*x - f. What is the smallest common multiple of x and 11?
33
Let j = -23188 - -9171. Let c = 911047/65 + j. What is the common denominator of c and -22/45?
585
Let d = 127/64 - 387/320. What is the common denominator of -179/1020 and d?
2040
Suppose -64 = 16*v - 20*v. Suppose 5*i = v + 9. Suppose i*p - 360 = -5*o, -12*p = -7*p. Calculate the smallest common multiple of o and 10.
360
Let p(g) = 15*g - 51. Let t be p(3). Calculate the smallest common multiple of 1*38 + t*(-7)/(-21) and 20.
180
Suppose -w = 2*d + 165, 3*d = -3*w + 41 - 284. Let j be -9 + (-96)/(-9) - 496/6. Let a = j - d. What is the lowest common multiple of a and 3?
3
Calculate the smallest common multiple of 211 and 1 - -10 - 570/57.
211
Suppose -10*r + 2791 = -779. What is the smallest common multiple of r and 35?
1785
Let w = 209661 - 66043141/315. What is the common denominator of w and 25/9?
315
Let m = 29189 - 30181423/1034. Calculate the common denominator of 83/6 and m.
3102
Suppose 3*f - 4*u - 33 = 50, -f = -3*u - 36. What is the smallest common multiple of 20 - f - (-10)/2 and 22?
44
Let k be 5 + 15/(-3) - 45. Let o be (-3)/((4/(-12))/(k/3)). Let i = o + 138. Calculate the lowest common multiple of i and 1.
3
Let l = -9096 - -12361459/1359. What is the common denominator of l and -107/42?
19026
Let q be (28/21)/(0 - 2/15). What is the smallest common multiple of 91/6 - q/(600/(-10)) and 14?
210
Suppose -5*s - 2*z + 46 = z, -38 = -5*s + z. Suppose 3*i - 5 + 35 = 0. What is the common denominator of s and i/(-21)*-14*6/(-18)?
9
Let t = 229511/4 - 57366. Suppose -5*p = -54 + 204. What is the common denominator of t and (22/p)/((-4)/3)?
20
Let g = 208029/560 - 1862/5. What is the common denominator of 103/56 and g?
112
Let h = 2359/36 + -273/4. Find the common denominator of h and -107/18.
18
Let l(s) = -5*s**3 + 24*s**2 - 25*s + 78. Let v be l(20). Let b = v - -2774119/90. What is the common denominator of b and -131/110?
990
Let l be 2 - (6/(-3) + -1162503). Let u = -6952981/6 + l. Let g = -3653 + u. What is the common denominator of 17/37 and g?
222
Find the common denominator of (102/(-352))/(750/(-1000)) and -17/554.
12188
Let b(y) = y**2 - 3*y - 10. Suppose 6*k - 24 = 3*k. Let a be b(k). Calculate the common denominator of 283/a - 12/90 and 50/33.
330
Suppose 2*b = 3*v - 237, 5*v = -b + 4*b + 353. Suppose 3*n = 5*x + 13 + 20, 2*n - 26 = 2*x. Calculate the lowest common multiple of n and (2/5)/(b/(-30) - 4).
16
Let r = 31049 - 29929. What is the least common multiple of 168 and r?
3360
Suppose -3694 = -36*w + 34*w - 2*d, -2*w + 5*d + 3701 = 0. Suppose -w = i - 34*i. What is the least common multiple of i and 56?
56
Let f = -17053/15 + 1141. What is the common denominator of f and (308/(-33))/(3/(15/(-22)))?
165
Suppose -2*p - 79 = -3*z, 5*p + 3*z + 150 = z. Let r be (-1 + 3)*-2 + p. Calculate the common denominator of 1/3 + (-375)/r and -44/9.
36
Find the common denominator of ((-90)/2751)/(8/50*(-520)/728) and -73/14.
1834
Let v(t) = -t**2 - 8*t + 888. Calculate the smallest common multiple of 559 and v(26).
2236
Let v(f) = f**3 - 20*f**2 + 8*f - 85. Calculate the least common multiple of 55 and v(20).
825
Suppose -32 = -4*k - 4*k. Let o be k + -924 + -3 + -3. What is the common denominator of o/126 + 20/(-90) and 48/11?
77
Let k(f) = 4*f**3 - 17*f - 25 - 4*f**2 - 18*f - 3*f**3 - f**2 + 49*f. What is the smallest common multiple of 6 and k(4)?
30
Suppose 0 = -4*z + 4*s - 210 + 2386, -4*s - 544 = -z. Calculate the smallest common multiple of z and 5.
2720
Let r(v) = -19*v**3 - v**2 - 2*v + 2. Let p be r(1). Calculate the common denominator of -91/2 and (-332)/p - (2 - -4).
10
Suppose -4*n - 240 = 3*r, 128 = -3*r + 5*n - 112. What is the least common multiple of r/(-12)*(2 - 8/(-5)) and 8?
24
Let j(u) = -u**3 - 2*u**2 + 6*u - 5. Let d be j(-4). Suppose -62 = -d*v - 32. Calculate the lowest common multiple of (2/(-5))/((-4)/20) and v.
10
Find the common denominator of -1*(9 - 2) + 1/((-26782)/(-187439)) and 13/12.
22956
Suppose -m = 3*z - 12, -4*m + 2*m + 3*z + 60 = 0. Let p(c) = c**2 - c + 12. Calculate the lowest common multiple of m and p(0).
24
Calculate the common denominator of (-2)/((-1372)/182)*4 and 46/245.
245
Let l = -5172 - -5216. Calculate the least common multiple of l and (8/(-20))/(2/(-140)).
308
Let o = 5265/8 - 653. Let t = 460 - 462. Calculate the common denominator of (24/(6 + t))/((-70)/9) and o.
280
Let f(v) = -v**3 - 12*v**2 - 10*v + 13. Let s be f(-11). Let l = 884309/146180 + 4/7309. What is the common denominator of 2/(-56)*(148 - s) and l?
140
Let c(w) = -215*w - 1. Let l be c(-9). Let f = 11635/6 - l. Find the common denominator of f and -14 + 4680/330 + 35/11.
66
Let n(w) = w**2 - 4266*w - 38453. Suppose -2*t - 3*p + 21 = 0, -4*t - 3*p = 19 - 52. What is the smallest common multiple of n(-9) and t?
66
What is the lowest common multiple of (-438)/(-5) + 2/(-5)*(-124 + 123) and 56?
616
Let i be (-1 - -1) + 6 + 4 + -8. Suppose -n = 4*f, -i*f - 6 - 2 = 0. Let d = -8 - -14. What is the smallest common multiple of d and n?
48
Suppose -3*l + 4*q = 7*q - 81, 3*l = -6*q + 75. What is the smallest common multiple of l and 203?
203
Let w = 4/2105 + 31984/6315. Let o = 40431/7 + -3152869/546. What is the common denominator of w and o?
390
Let v(n) = -n**2 - 13*n - 2. Let h be v(-11). Let q be (h/5)/(1/(-6)). Let l = q + 29. What is the least common multiple of 3 and l?
15
Let x = -29952245581/6228 - -4809288. Calculate the common denominator of x and -107/20.
31140
Let v = -22081/1810 + -1/1810. What is the common denominator of v and -121/948?
4740
Let s(f) = 1. Let w(t) be the second derivative of t**3/6 + t**2/2 + 15*t. Let x(z) = 2*s(z) - w(z). What is the smallest common multiple of x(-6) and 7?
7
Suppose -328246 + 81966 = -94*d. What is the smallest common multiple of d and 262?
2620
Let i = -89057 - -15585046/175. What is the common denominator of i and 89/32?
5600
Suppose -33 = -4*n + 15. Let v be (126/51)/(n/(-8)). Let g = v + 662/51. Calculate the common denominator of -53/27 and g.
27
Let n(r) = -r**3 - 12*r**2 - 10*r + 14. Suppose 0 = f + 11. What is the least common multiple of n(f) and 81/12 + (-1)/(-4)?
21
Let t = 638 - 79. Let d = -521 + t. Calculate the smallest common multiple of d and 4.
76
Let h be (-2 + (-28)/(-8))*2. Suppose n - 2*c - 14 = -c, -c = -h*n + 38. Calculate the common denominator of ((-158)/n)/((-168)/(-18) + -5) and -37/10.
130
Let m(w) = -w**3 + 16*w**2 + 15*w + 37. Suppose d - 4*j - 30 = 0, 0 = -3*d + j + 3*j + 90. What is the smallest common multiple of m(17) and d?
30
Suppose 384 = -2*z + 5244. Calculate the lowest common multiple of 15 and z.
2430
Let w(n) = 5*n**2 - 8 - 5 - 3*n - 6 + 17. Suppose 5*z - 2 = -12. Calculate the smallest common multiple of 63 and w(z).
504
Let n(w) = -w**3 + 8*w**2 + 315*w - 74. Calculate the smallest common multiple of 87 and n(22).
6960
Let z = -1442 - -1517. What is the smallest common multiple of z and (6/(-4))/(0 + 5/(-70))?
525
Let t = -1013 + 1074. Let z be (-15)/2*8/(-6). Suppose -a + 1 + z = -2*q, -4*q - t = -5*a. Calculate the least common multiple of a and 11.
143
Suppose -2*l = -t + 400, 2*l + 3*t + 214 = l. Let w = l + 134. Let i = w - -78. Calculate the least common multiple of 6 and i.
30
Suppose -214894 = 262*g - 383466 - 1221076. What is the lowest common multiple of 3978 and g?
15912
Let k(y) = 2*y**2 + 4*y - 9. Let s be k(-11). Let j = 222 - s. What is the smallest common multiple of 27 and j?
297
Suppose 5*b - 5*g = 20, 2*g + 24 = 23*b - 19*b. Calculate the lowest common multiple of b and 8.
8
What is the least common multiple of 22/(-10)*-5 + (-4 - 15/(-3)) and 705?
2820
Let z(y) = -y**2 - 36*y - 27. Let r be z(-35). Calculate the common denominator of -5 + (-5)/20 + 140/r and -187/30.
60
Let k = -83614580843738389/263230 + 317648371553. Let h = -23/2393 - k. Find the common denominator of 2/55 and h.
110
What is the common denominator of 41/70 and ((-2220)/(-630))/(160/(-15))?
560
Suppose -2*g - 2*v - 2274 = -4*g, 4*g = 2*v + 4536. Calculate the least common multiple of g and 35.
39585
Find th