217501 - -865749/4. Let g = z - u. Calculate the common denominator of g and -25/14.
28
Let o = -495889/7 - -71071. Let y = o + -238. Calculate the common denominator of 0 + -4 + 33/(-27) and y.
63
Let y(b) = -1. Let j(s) = 10*s - 12. Let z(a) = -j(a) + 3*y(a). What is the lowest common multiple of 18 and z(-3)?
234
Suppose 4*y - 60 = -0*y. Let f(p) = 99*p - 2623. Calculate the smallest common multiple of f(27) and y.
150
Let n be (-5 - 0)*(5 + (19 - 2)). What is the common denominator of (62/(-10))/(n/25) and 47/14?
154
What is the common denominator of -38/9 and ((-5526)/891 - -6)*(-2)/(-4)?
99
Let u(c) = c**2 - 6*c + 14. Let y be u(4). Suppose 4*i = j - y, -3*i = -j - 0*j + 9. Calculate the smallest common multiple of 50 and j.
450
Calculate the common denominator of (-1 + 20/24)*(-218)/16 and -107/112.
336
What is the common denominator of (117/216 - (0 - -5))*2 and -85/18?
36
Let g = 8/3223 + -31953/6446. Let t be ((-165)/18)/11*-6. What is the common denominator of g and (-3 + t)/(3/(-16))?
66
Suppose -5*y = -2*j - 55, j - 3*j = 4*y - 44. Let t = y - 8. Suppose t*h + 31 = 2*w, -3*w = -6*w + h + 29. What is the least common multiple of 3 and w?
24
What is the common denominator of -34/41 and 198/(-15) + -7*(-36)/42?
205
Let h = 123 + -117. Suppose 0 = u + 2*u - h. What is the smallest common multiple of 6 and u?
6
Let u be ((-12)/20 - (-18)/30)/(-2). Suppose u = 7*j - 161 + 21. Calculate the smallest common multiple of 10 and j.
20
Suppose 0 = -4*f - 3*i - 2*i + 140, 5*f + 4*i = 166. Calculate the least common multiple of 42 and f.
210
Let q = 355563 + -1432007/4. Let g = q + 2417. What is the common denominator of g and -5/14?
28
Suppose w = -2*y + 5, -4*w = 4*y + 6 - 34. Find the common denominator of -29/10 and (w/6)/(93/66).
310
Suppose 14*n = -113 + 1. Let i(q) = 4*q**3 - q. Let k be i(-2). Calculate the lowest common multiple of k/n*16/3 and 8.
40
Let z(b) = b + 9. Let x be z(-4). Suppose -x*f + v - 9 = 0, 5*v = -f - 0*v - 7. What is the common denominator of 1/f - (-222)/144 and 87/2?
24
Let y be 63261/(-13540) - 2/4. Let t = 15/677 + y. Find the common denominator of -99/2 and t.
20
Let j(z) = -z**2 + 10*z. Let w = 7 + 3. Let s be j(w). Suppose s = -3*n + 14 + 22. What is the smallest common multiple of n and 6?
12
Suppose 5*b - 6 = -3*g, b + 4*g + 12 = 3. Find the common denominator of 17/55 and ((-732)/180)/(b/(-5)).
495
Let t be 580754/(-8) + ((-30)/8)/(-15). Let i = -6969131/96 - t. Calculate the common denominator of i and 103/14.
672
Let i = 3 - -1. Suppose -i*z + 40 = -2*z. Suppose 0 = -2*h - 3*h + 80. What is the least common multiple of z and h?
80
Calculate the common denominator of (12/(-54))/((-16)/(-308)) and -46/9.
18
Let k(m) = 2*m**3 + m**2 + 2*m - 9. Let y be k(3). Calculate the common denominator of -1/22 and 7/y + 8/32.
330
Let g(n) = n**3 + 22*n**2 - 21*n + 62. Suppose -3 = k - 2*k. Suppose -3*w + 5*d + k = -7, 2*w - 5*d = 0. What is the lowest common multiple of g(-23) and w?
80
Suppose 5*k + 4207 - 442 = 0. Let r = k - -5244/7. Let m = -3454 - -20669/6. What is the common denominator of m and r?
42
Let v(g) = 3*g**3 + g**2 + g - 2. Suppose -1 - 3 = -4*n. Suppose -2 = -0*c - c. What is the least common multiple of v(n) and c?
6
Let w = 477 + -412. What is the lowest common multiple of w and 8?
520
Find the common denominator of 113/150 and (-85)/306*(-306)/(-30).
150
Suppose 0 = -6*l + 2 + 10. Suppose -l*b = 4*g + 1282, 5*g + 1598 = 4*b - 2*b. Let i = 1267/4 + g. What is the common denominator of i and -68/9?
36
Suppose -41*n + 580 = -1388. Calculate the lowest common multiple of n and 36.
144
Let x(f) = 13*f**2 - 8*f + 8. Let g = 8 + -5. What is the least common multiple of x(1) and g?
39
Let c = 73 - 82. What is the common denominator of (-4)/((-96)/279) + -1 and -11*(-1)/(-8)*(c - -5)?
8
Let t(x) = x**3 + x**2 - 9*x - 1. Let s = 14 + -11. What is the least common multiple of 5 and t(s)?
40
Let p = 32 + -18. Let k be ((-72)/p)/(5/(-35)). Suppose -y - k = -7*y. Calculate the least common multiple of y and 1.
6
Calculate the common denominator of (76/14)/((44 - -12)/7) and -50/77.
308
Suppose -3*o = 24*y - 23*y + 183, 0 = -2*o - y - 121. Calculate the least common multiple of 11 and (-4)/(-6) - (0 + o/6).
11
Let i(y) = 41*y**2 + 3*y - 6. Let o be (18/21)/(9/42). Let c be i(o). Let m = 5969/9 - c. Find the common denominator of m and 33/5.
45
Suppose 0 = r + 4*n - 2, -3*r + 3*n = -5*r + 14. Suppose -3*v + 17 = 2*z, -5*v = -5*z - 21 + 126. What is the least common multiple of r and z?
80
Let t(c) = -c**3 + 18*c + 10 + 4*c**2 - 9*c**2 + c**2 - 8*c**2. What is the least common multiple of 9 and t(-14)?
450
Let z be 3*24/18 - (-1 + 5). What is the lowest common multiple of 9 and (4 + z)/(4 + (-234)/60)?
360
Let t = -7600/9 + 15599/18. Let x = 25/186 + 1/31. Calculate the common denominator of x and t.
6
Let k = -643/69 - -7/46. Let i = 354845/36 + -9856. Find the common denominator of i and k.
36
Suppose 0 = 31*r - 73*r + 3024. What is the lowest common multiple of r and 60?
360
Let x = -44 + 49. Let d = 6161/156 + 1/156. Calculate the common denominator of d and 214/(-54)*(75/10)/x.
18
Let r = -97/68 + 20/17. Let q be 541*(-1)/(-3) + 1. Let y = -4169/24 + q. Find the common denominator of y and r.
8
Let a = 278 + -228. What is the smallest common multiple of a and 30?
150
Let q = -1/13590 - 8423/38052. What is the common denominator of q and 143/252?
1260
Suppose 0 = 5*j - 20, 3*o = -3*j + 64 - 22. Calculate the smallest common multiple of o and 100.
100
Find the common denominator of 264/27*(-231)/(-7546) and -27/49.
147
Let z = -6 + 9. Suppose -2*p = -6*p + 20. Suppose 0 = p*a - 25 - 20. Calculate the smallest common multiple of z and a.
9
Let h = 99/2 + -49. Let s = 32/3 + h. Find the common denominator of 121/18 and s.
18
Calculate the smallest common multiple of (-102)/(-9) + (-4)/(-6) and -1 + 5 + (-36)/(-9).
24
Let f = 79 - 145. Let p = f - -67. Calculate the least common multiple of p and 5.
5
Calculate the least common multiple of (4/7)/(10/175) and 225.
450
Suppose -p = 3, 5*b + 0*b - 40 = -5*p. Calculate the least common multiple of -2 - (-9 - 3) - -1 and b.
11
Let f = -368 + 388. Calculate the lowest common multiple of f and 40.
40
Let f = 20654812623/1022 + -20210181. Let y = f - 7/146. Find the common denominator of 127/42 and y.
42
Let r = -36697/8 + 4593. Let d = 10/397589551 - 20766499909081/2814934021080. Let s = d + 2/885. What is the common denominator of s and r?
8
Let i(c) be the third derivative of c**6/120 + 4*c**5/15 + 7*c**3/6 + 22*c**2. Calculate the least common multiple of 9 and i(-16).
63
Suppose 5*w = 2*b + 65, -w - 3*b = 2*w - 60. Suppose -w*r = -5*r - 30. Calculate the lowest common multiple of r and 7.
21
Let p = 417 - 3309/8. What is the common denominator of p and ((-75)/(-66))/((-1)/4)?
88
Let y = -11392983/235 - -48481. Calculate the common denominator of 31/282 and y.
1410
Let h(y) = y**3 + 3*y**2 - 2*y - 2. Let w be h(-3). Suppose 2*q = w*q - x - 27, -q - 5*x = -41. Calculate the lowest common multiple of 10 and q.
80
Let d = 108 - 42. Suppose d = -2*m + 5*m. Suppose -o = 4*o + p - 27, -36 = -5*o + 2*p. What is the lowest common multiple of m and o?
66
Let x = 125 - 116. Calculate the lowest common multiple of 4 and x.
36
Suppose -43*s + 46*s = 21. Calculate the smallest common multiple of s and 60.
420
Let a = 273 - 253. Suppose -29 = -2*c + 3. Calculate the smallest common multiple of a and c.
80
Let p = -14 - -25. Let d(k) = k**2 - 11*k - 9. Let z be d(p). Calculate the least common multiple of 10 and (66/9)/((-6)/z).
110
Let s = -3465/2 - -43279/25. What is the common denominator of -11/150 and s?
150
Let y(a) = -a + 6. Let f(c) = c**3 - 10*c**2 + 11*c - 10. Let x be f(9). Let u be y(x). Calculate the lowest common multiple of 2 and 20/1 + (-4)/u.
22
Suppose -3*l - 42 = -0*l. Let m be (1 - l)*3/(-5). What is the common denominator of (-182)/120 - (-3)/m and -13/2?
20
Let b(i) = i**3 + 8*i**2 - 8*i + 11. Let p be b(-9). What is the common denominator of -83/8 and ((-3)/(-40) - p) + 15/(-25)?
40
Suppose 0 = p + 2*v + 5, -2*v + 0 = 3*p - 5. Find the common denominator of 89/12 and -2 + (-3 - p/(1140/(-1207))).
228
Let n = -61 - -63. Calculate the least common multiple 