et f = -18324 - -14677526/801. Let l = f + -13352/801. Calculate the common denominator of -2 + (-2 - (-65)/2) and l.
6
Let c = 9413053933/396 - 95082549/4. Let u = c + 3213/11. Calculate the common denominator of u and 32/21.
126
Let i(r) = 12*r + 358. Calculate the lowest common multiple of 24 and i(-27).
408
What is the common denominator of 57/10 and ((-119)/44)/(-243 + 240)?
660
Let k = 2029 - 4127/2. Calculate the common denominator of (17/5)/(3*2) and k.
30
Let m = 5/563 - -23591/6193. Calculate the common denominator of m and (1*5/10)/((-6)/(-172)).
33
What is the lowest common multiple of 408 and 5 + (8 + 678 - 11)?
2040
Let g = 2509/9 + -274. Find the common denominator of 41/3 and g.
9
Suppose -5*v + 115 = -5*p, 3*p + 1 = 4. What is the common denominator of ((-16)/v)/(20/(-3)) and 3 - (-1)/((-48)/716)?
60
Suppose -296 = -3*b - 4*o, 0 = -2*b - 2*b + 3*o + 353. What is the smallest common multiple of b and 12?
276
Let g = 9/362 - 3881/207064. Find the common denominator of g and -53/18.
10296
Let h = 195 - 138. Find the common denominator of (-3)/(-2) - 246/18*-1 and h/(-8)*2/(-3).
12
Let d(b) = 2*b - 17. Calculate the lowest common multiple of d(11) and 10.
10
Let h = 1069/26 - 112/13. Calculate the common denominator of h and -37/126.
126
Let k be (788/(-84))/(1117262/(-5006)). Let z = k + -88/2121. Let g = -536561/99558 + z. What is the common denominator of -73/32 and g?
288
Let y = 80 - 75. Suppose -205 = -2*t - 3*t + y*n, 5*t - 4*n - 202 = 0. What is the smallest common multiple of 22 and t?
418
Let a = -176 + 417/2. What is the common denominator of a and (80/384)/(2/(-8))?
6
What is the common denominator of 10/45 + (-3)/(-324)*206 and 49/2?
54
Suppose 9 - 4 = 5*v. Let g be 15/6*v*8. Suppose -2*w = -3*j - 32, -w - g = -5*w - 5*j. What is the least common multiple of w and 12?
60
Suppose 5*z - 126 = -2*z. Let d = -12 + z. What is the least common multiple of d and 2?
6
Let r(s) = 14*s**2 - 5*s + 2. What is the lowest common multiple of r(1) and -21*4/(-6) + 2?
176
Let x = 4565 - 91183/20. Suppose 2*a + 456 = 5*k, 3*a + 468 = a + 2*k. Find the common denominator of x and a/12 + 4/6.
60
Suppose 5*z - z = 8. Suppose -4*y + 68 = -s, -z*y + 3*s = -0*s - 24. What is the least common multiple of 94 and y?
846
Let v be (-3)/(-12) - 38/(-8). Let w = 2909/6 + -1475/3. What is the common denominator of (-679)/(-35) - 2/v and w?
6
Calculate the common denominator of (-492)/333 + 0 - 17/(-102) and 23/2.
74
Let c(q) = q**2 + 6*q - 4. Let f be c(-7). Suppose 0 = 2*s + v - 1 - 6, -5*v - 17 = -f*s. Let k = 4 + s. What is the lowest common multiple of 5 and k?
40
Let c be (10/(-2) - -4)*-1790. Let j = -39387/22 + c. Let a = 5/1168 - 63691/8176. Calculate the common denominator of a and j.
154
What is the common denominator of ((-2910)/(-3480))/(9/(-2)) and -89/6?
522
Suppose -20*q + 13*q + 252 = 0. Calculate the lowest common multiple of 48 and q.
144
Let h = 24605 + -1919129/78. Let k = 434027/35800 + 6/4475. Find the common denominator of h and k.
312
Let t = -3489243385277739893/364590 - -9570321142312. Let s = 1/20255 + t. What is the common denominator of s and 99/8?
72
Suppose -h - 3*t + 9 = -12, 2*h - 5*t + 13 = 0. Suppose r = -i - 0*r + 17, -5*r - 65 = -5*i. Calculate the smallest common multiple of h and i.
30
Let w = 3 - 0. Let f = -3 + 4. What is the least common multiple of (-880)/(-77) + (-2)/14*w and f?
11
Suppose -4*w - w + 1020 = 0. Find the common denominator of 89/10 and 2 - 2 - w/(-132).
110
What is the common denominator of -85/2 and (((-16)/(-390))/4)/(20/995)?
390
Let i = -22907/9904 - -1/2476. What is the common denominator of -47/10 and i?
80
Suppose -5*d - 55 = -235. Let h = -2031/620 + 7/31. Calculate the common denominator of 230/d + 2/6 and h.
180
Let t(l) = -l**3 + 14*l**2 - 15*l - 9. What is the lowest common multiple of 11 and t(12)?
99
Let o = 11224/7 - 1608. Calculate the common denominator of o and (6/4)/((-12)/38).
28
Suppose -266 = -5*k - 66. Let h = 5924/7 - 840. Calculate the common denominator of h and k.
7
Let a = 30 - -2. Let b(i) = -i**3 - 49*i**2 - 218*i + 96. What is the least common multiple of b(-44) and a?
32
Let v be 0*(3/(-2))/(-3). Let a be (-1)/1 + (3 - v). Suppose -a = -2*l + 4*j, -4*l + 5 = j + 1. What is the smallest common multiple of l and 11?
11
Let b(v) = 21*v**2 + 2*v + 2. Suppose -5*l - 3*y = -66, -3*l + 3*y - y = -32. Calculate the smallest common multiple of l and b(-1).
84
Let a(w) be the third derivative of 0 + 0*w + 5/6*w**3 + 1/24*w**4 - 8*w**2. Calculate the least common multiple of 18 and a(-3).
18
Suppose g = -0 - 4. Let s be 669/27 + g/(-18). What is the common denominator of (-10)/s - (-1082)/180 and 133/12?
36
Let d = 20 + -19. Calculate the common denominator of 67/(-10) - (-5)/(-25) and (83/(-16) - 0) + d.
80
Let k be (46/8)/((-15)/6780). Let r = k - -15737/6. What is the common denominator of r and -41?
6
Let p(x) = -x + 14. What is the lowest common multiple of 122 and p(6)?
488
Suppose 2*r - 4 = 6. Let c be (-24)/(-2140)*r*-4. Let h = c - 4553/214. Find the common denominator of 43/2 and h.
2
Suppose -z - 2*z = -w + 22, 4*z = 3*w - 46. Suppose -2*s + 30 = 5*g - 5*s, -5*s = -4*g + 24. What is the least common multiple of w and g?
30
Calculate the smallest common multiple of 6 and (15/(-2) - -8)/((-3)/(-5052)).
2526
Let z = 23 + -1. Let d = 67 + -47. Calculate the smallest common multiple of d and z.
220
Calculate the common denominator of ((-1180)/66)/5*(-1)/10 and 167/30.
330
Let k = -16162 - -824299/51. Find the common denominator of -25/36 and k.
612
Let j = -4/12027 - 140107/625404. What is the common denominator of j and -44/91?
1092
Suppose -3*q + 35 - 8 = 0. Suppose 0*i - q = -3*i. Suppose -i*k = -3*w - 5*k - 61, 0 = 2*w - 3*k + 19. Find the common denominator of w and -8/5.
5
Suppose -95 = -o + 5*k, 0 = o + 4*o - 5*k - 575. Suppose 30 = l + q, 3*q + 2*q - o = -4*l. What is the lowest common multiple of 12 and l?
60
Suppose 3*q + 10*i - 81 = 5*i, 4*q + i = 91. What is the least common multiple of q and (-4602)/(-208) - (-1)/(-8)?
22
What is the least common multiple of 5*(-2)/30 - 62/(-6) and 104?
520
Suppose -2*q - 6 = 0, -q = 3*o - 0*q - 15. Suppose 5 = o*k - 19. What is the least common multiple of (3 - -2)*168/20 and k?
84
Suppose 4*s = -5*k + 57 + 558, 3*k = -2*s + 309. What is the lowest common multiple of s and 54?
1350
Suppose -21*q - 4382 = -14*q. Let d = -3671/6 - q. Find the common denominator of d and (-364)/40 - 2/(-4).
30
Let p = 59 + -35. Find the common denominator of 37/24 and ((-198)/p - -1)*10/12.
24
Let n = -1279 - -2505/2. What is the common denominator of n and -43/12?
12
Calculate the least common multiple of -15*(-130)/100*28 and 30.
2730
Let t be (-1 - -2) + (9 - 6). Find the common denominator of -121/10 and (-185)/(-132) + 126/(-33) + t.
60
Let u = 5 - 3. Suppose 0*o + 5*l - 160 = -5*o, l = 3*o - 76. Calculate the common denominator of o and (-179)/(-4) - u/8.
2
Suppose 2*d = -3*d + 2*l + 146, 5*d + 4*l - 158 = 0. Calculate the lowest common multiple of d and (-1135)/(-45) + 0 + (-26)/117.
150
Suppose -3 - 1 = -2*f. Let q be (f/(-4))/((-1)/2). Calculate the lowest common multiple of 40/28*(q + 6) and 7.
70
Let k be (0 - 1)/4 + (-383796)/176. Let a = k - -2178. Calculate the common denominator of a and 139/6.
66
Suppose 0 = 5*q + 5*b - 25, -2*q = 3*b - 9 - 4. Let p = 39 - 30. Suppose -2*a + p*a - 77 = 0. Calculate the lowest common multiple of a and q.
22
What is the common denominator of -42 and ((-2)/(-12))/(-5 + (-2372)/(-474))?
2
Suppose -3*n = 169 - 34. Let f = n + -51. Find the common denominator of 97/16 and ((-58)/(-10))/(f/30).
16
Calculate the common denominator of (1007/95)/(-69*2/(-10)) and -61/9.
207
Let m = -2055972/95 + 21642. Find the common denominator of m and -49/55.
1045
Let p be 8 + (1 - (3 + 1)). Suppose 3*n - 5*m = -0 - p, -3*n = 2*m - 2. Suppose 3*x - 4*x + 22 = n. Calculate the smallest common multiple of 14 and x.
154
Let k = 168/17 + -2151/68. Find the common denominator of 70/(-44) + (-413)/118 and k.
44
Let v(p) = -8*p - p**3 + 10 + 0*p + 2*p**3 - 7*p**2. Suppose -4*i + 24 = -0*i. Calculate the lowest common multiple of v(8) and i.
30
Let g = 1/110064 + -472361/330192. Find the common denominator of (436