8/35261 + 158921359/141044. Let i = r - j. What is the common denominator of i and -5/3?
12
Suppose -63*m = -56*m - 189. Calculate the smallest common multiple of 90 and m.
270
Let q = -7191943361/670 + 10734252. Let n = -234369/134 - -1749. Let s = q - n. What is the common denominator of 95/6 and s?
30
Suppose 2*p = v - 14, -4*p = -2*v - 7*p + 21. What is the least common multiple of v and 144?
144
Suppose 5*h + 5*l = 290, 234 = 4*h + 5*l - 0*l. Suppose h = -z + 5*z. What is the least common multiple of 6 and z?
42
What is the lowest common multiple of (-3 + -2)/(1/(144/(-60))) and 12?
12
Let j(v) = -v**2 - 14*v - 13. What is the smallest common multiple of 214 and j(-11)?
2140
Let c = -1588 + 1841. Calculate the least common multiple of 77 and c.
1771
Calculate the common denominator of 3 + 4 + (-18)/24 and 87/2.
4
Suppose 0 = 5*j - h - 136, h = -4*j + j + 88. Calculate the least common multiple of 8 and j.
56
Suppose -2*j - 2*s = -666, 21*s - 22*s = 5*j - 1677. What is the least common multiple of 16 and j?
336
Let d = 19527199459/345 + -56600617. Let o = 194/5 + d. Let h = o - 127/1380. Calculate the common denominator of -65/22 and h.
220
Let z be (0 - 3/(-1)) + -8 - -2. What is the common denominator of ((-23)/z)/(4/(-6)) and 41/12?
12
Let u(p) = -24*p + 16. Let c be u(-4). Let w = c - 92. What is the least common multiple of 16 and w?
80
Suppose 3*x - 11 = -5. Let t(s) = -s**2 + 11. Let a(v) = -v**2 - v + 12. Let r(n) = 5*a(n) - 6*t(n). What is the least common multiple of x and r(7)?
8
Suppose -5*l + 3 = -32. What is the smallest common multiple of (-80)/(-200)*15/1 and l?
42
Let i = -38293 + 382563/10. Let n = i + 37. Calculate the common denominator of n and 9/4.
20
Let d be (-368)/(-96) - (-1)/6. Suppose 90 = 3*l + 5*y + 14, -d*l + 104 = 4*y. Calculate the lowest common multiple of 12 and l.
108
Suppose -3*u = 4*p - 118, -3*u - 2*p = -8*u + 188. Suppose 4*z - u = 14. Calculate the smallest common multiple of 10 and z.
130
Suppose j = -1 - 1. Let b be (-109)/j - 8/16. Find the common denominator of 37/10 and (-201)/b - (-1 + 0).
90
Suppose 6*f = 2*f + 252. Let p = -476/25 - -6133/200. Calculate the common denominator of ((-102)/(-8))/(f/70) and p.
24
Suppose -7*o - 32*o = -1201 - 203. Suppose 5*n + 52 = 4*c - 36, 5*c + 3*n = 147. Calculate the lowest common multiple of o and c.
108
Let d(n) = -n**3 - n**2 + 3*n + 7. Suppose 0 = 4*r + 65 - 185. What is the least common multiple of ((-12)/r)/(2/(-40)) and d(-3)?
16
Suppose -l + 1 = 5*f - 0, 38 = 2*l + f. Let q be (-8)/((l/6)/(-7)). What is the lowest common multiple of 5 and ((-11)/(-2))/(8/q)?
55
Let i = -305 + 353. What is the least common multiple of i and 64?
192
Let d = -1848 + 1080. Let q = -487176/5 - -10802317/110. Let k = q + d. Calculate the common denominator of -97/22 and k.
22
Find the common denominator of 3/(-9) + 132/2880 and 41/4.
80
Let a(n) = -2*n**2 + 78*n - 136. What is the lowest common multiple of 31/2 + (-3)/6 and a(37)?
60
Let g(f) = -f**2 - 23*f - 22. Let a = 201 - 222. Suppose -y - y + 24 = 0. Calculate the smallest common multiple of y and g(a).
60
Calculate the common denominator of -19/24 and (-73)/300*(-120)/160.
1200
Let i be (-3594)/(0 + 2 + -4). Let w = i + -10727/6. What is the common denominator of -3 - -3 - (-107)/18 and w?
18
Let i(p) = -2*p**2 + 19*p - 12. Let m be i(8). Let w = m + 10. Let v = 27 + -9. Calculate the smallest common multiple of v and w.
198
Let o(r) = -2*r**3 + 2*r**2 - 3*r - 1. Let i be o(-3). Let z be (-141036)/i - 1/(-5). Let p = -1776 - z. Find the common denominator of p and -19/16.
16
Let v(y) = 2*y + 19. Let o be v(-4). Suppose 3*b = 5*d + o, 3*b + b - 30 = -d. What is the smallest common multiple of b and 13?
91
Let n be 925/2516*(1 + 1)*9. Let b = -440/17 - n. What is the common denominator of b and -119/10?
10
Let v be 1645062/66 + 2/(-11). Let o = -61938624/2485 + v. Let z = -16684/2485 - o. Calculate the common denominator of z and -36/25.
175
Let q = -4205735/72 + 58412. Find the common denominator of q and 83/22.
792
Let k(z) = -z**3 - 2*z**2 - 19*z - 50. Calculate the lowest common multiple of k(-5) and 45.
360
Suppose 3*a - 286 = 1358. Find the common denominator of -15/2 and 0 - a/80 - -4.
20
Let u = 7087880 + -16224103919/2289. Let k = 3/763 + u. Find the common denominator of 89/32 and k.
96
Let d = 2063/1320 + -283/66. Find the common denominator of -25/16 and d.
80
Suppose 0 = -25*x + 724 + 276. What is the least common multiple of x and 1?
40
Let z = 215377/27 - 7976. What is the common denominator of z and 32/75?
675
Let r = 16 + -9. Let z(v) = v - 6. Calculate the lowest common multiple of z(r) and (1/(-2))/(3/(-54)).
9
Suppose 3*n - 19 = -5*f, 3*f = 3*n - 0 - 3. Suppose 11 - 46 = -5*q + n*u, -3*q + 27 = -3*u. What is the least common multiple of 28 and q?
28
Suppose -4737 + 245 = 2*u. Let d = -231334/103 - u. Let j = d - 9801/412. Find the common denominator of -17/14 and j.
28
Suppose 3*v = 3*n, -6*v + 3*v = 2*n - 5. What is the smallest common multiple of 27 and n?
27
Let m(v) = -338*v - 18. Let w(g) = -g**3 + 11*g**2 - 11*g + 2. Let h be w(10). Let r be m(h). Calculate the common denominator of (-10)/(-8)*r/(-255) and -29/8.
24
Suppose -w = -308 + 52. Suppose 0 = -5*n - 69 - w. What is the common denominator of 45/2 and n/70 + 3/3?
14
Find the common denominator of (-2)/(-8) + 885/108 + -5 and -113/10.
90
Let q = -199 - -117. Let r = -76 - q. What is the smallest common multiple of r and 24?
24
Let t = 25 - 14. Suppose -5*p - 2 - 8 = 0, -4*p = 2*w - 8. What is the lowest common multiple of w and t?
88
Suppose 0 = -q + 5*s + 10, -3 = 3*q + 3*s + 21. Let f(c) = -4*c - 10. Calculate the lowest common multiple of 5 and f(q).
10
Let k = -1315/7 + 6633/35. Calculate the common denominator of -85/42 and k.
210
Suppose -2*t - 5514 = t. Let w = t - -14743/8. What is the common denominator of w and (-753)/(-90) - (34 - 26)?
120
Suppose 5*w + 2*k - 3*k = 17, 5*w - 5*k = 25. Suppose -w*l + 29 + 1 = 0. Let n = -546 + 550. What is the smallest common multiple of n and l?
20
Let q = -343037505 + 545429651569/1590. Let w = 10849532/795 + -68236/5. Let k = w - q. Find the common denominator of -95/24 and k.
120
Let s be -1 + 4 + 2 - (-2 + 0). Suppose -5*v = -s*v + g + 71, 0 = -v + 5*g + 13. Calculate the smallest common multiple of v and 6.
114
Suppose 4*l = 3*q - 100, 2*q - 5*l - 33 = 29. What is the lowest common multiple of q and 11?
396
Let u(y) = -y + 24. Calculate the lowest common multiple of u(-1) and 3.
75
Let s(m) = -m**3 - 4*m**2 - 4*m - 1. Suppose -5*k + 38*k - 1260 = 3*k. Calculate the lowest common multiple of s(-4) and k.
210
Suppose -2*o + 5*a = -34, -8*a + 23 = o - 12*a. Calculate the smallest common multiple of o and 19.
133
Let t(m) = -7*m + 2. Let j(a) = a**3 + 6*a**2 + 4*a + 6. What is the least common multiple of t(0) and j(-4)?
22
Let a(j) = -j - 8. Let x be a(8). Let b = x + 32. What is the common denominator of 4/b + 78/(-20) and -81/26?
260
Let v = 1528/2341 + -3300977/5412392. Calculate the common denominator of -31/22 and v.
25432
Let b = -64 + 67. Find the common denominator of 21/10 and ((-204)/(-54))/(16/b).
120
Suppose 0 = 7*l - 2*l - 10, -3*l = -2*s - 2. Let c(z) = 2*z**2 - 2*z - 4. What is the lowest common multiple of s and c(3)?
8
Suppose -787 = -5*o - 0*s - 3*s, -s = -2*o + 306. What is the least common multiple of o and 5?
155
Let g(u) = -5*u**2 - 29*u - 14. Calculate the least common multiple of g(-3) and 272.
1904
Let z = 106/465 + 557111/1860. Suppose 939 = -d + 4*d. Let l = d - z. What is the common denominator of l and 1/12?
12
Let t = -342 + 402. Calculate the least common multiple of t and 2.
60
Let p = -23 + 26. Suppose -p*l = -q + 6, q + l = -2 - 0. Let b(a) = -a**2 - a + 4. Calculate the least common multiple of 8 and b(q).
8
Let q(b) = 7*b**2 + 4*b + 7. Let s be q(-7). Suppose 0 = 4*y - s - 258. Find the common denominator of -71/6 and y/12 - (-8 + 11).
12
Let g be -2*(-3 + 65/(-10)). Let t = -17 + g. Suppose p - 2 = 6. What is the lowest common multiple of p and t?
8
Suppose 0 = 3*q + 4*w + 1310, 0 = 5*q - 4*w - 0*w + 2194. Let a be (-2)/(-5) - q/930. Let z = a - -2147/62. Calculate the common denominator of -41/12 and z.
12
Suppose -5*q = 43 + 12. Let o = -8 - q. 