st common multiple of n and 9.
36
Let p = 62185/52 + -1196. Find the common denominator of -39/20 and p.
260
Let i = -561 - -5023/9. What is the common denominator of i and -76/33?
99
Let l = -243/23 - -5150/851. Let c be 3 + (-1)/((-1332)/(-20738)). Let d = c - l. Calculate the common denominator of 103/12 and d.
36
Let r be 339/(-4) - (-2 - 0). Let s = r + 87. Let w = 4467/10 + -443. What is the common denominator of s and w?
20
Let l = -13/75 + 6707/1050. Calculate the common denominator of -67/8 and l.
56
Suppose 3*o = -w - 1, 5*w + 5*o = 6*w + 33. Let q(l) = l**3 + 14*l**2 + 14*l + 15. What is the lowest common multiple of q(w) and 2?
2
Suppose x + 9 = 3*q, 4*x - 3*q = 8 + 1. Calculate the least common multiple of 9 and x.
18
Let d(c) = c**2 - 5*c + 6. Let l be d(5). What is the common denominator of -25/9 and 3/l + (-51)/24?
72
Suppose 7*d - 16 = 3*d. What is the common denominator of 109/14 and 1239/140 + 1/d?
70
Suppose 68 = 4*w - 2*r, -2*w = -5*w + 3*r + 48. What is the smallest common multiple of w and 2?
18
Suppose -7 = -3*w + 2. Suppose 0 = w*q + 2*q - 100. Suppose -2*x = x + 2*r - 58, -4*x - 5*r + 75 = 0. Calculate the smallest common multiple of x and q.
20
Let s = 2684/139 - -10/417. What is the common denominator of s and 24/5?
15
Suppose 5*d - 85 = 5*n, 4*d + 2*n - 69 = 7*n. Suppose 2*c - 5*l = -2*c + 44, 2*c - l = d. What is the smallest common multiple of c and 7?
42
Suppose 0 = 5*p - 2*y - 3277, 3*p + 0*y = -y + 1964. Let z = 41371/4792 + -5/599. What is the common denominator of z and 2/12*p/(-10)?
24
Suppose -4*i + l = -3*l - 880, 5*l = 2*i - 446. Let w be (-1)/(-3) + i/(-6). Calculate the common denominator of 107/w + 6/(-8) and -119/20.
180
Let p be ((-21206)/8)/1 + 2. Let u = p + 2630. Let a = 3519/2 + -1712. Find the common denominator of a and u.
4
Let b be 0/(0 - 1) - 2. Let o be ((-96)/(-153))/(b/(-33)). Let a = 1469/68 - o. Find the common denominator of -15/2 and a.
4
Suppose -3*y + 29 = -4*a - 0*a, 5*y = -5*a + 25. What is the lowest common multiple of 21 and y?
21
Let n(a) = a**2 - 5*a + 8. Let s be n(6). Suppose 2*d - 18 = -3*i, -5*i - d + 3*d = -s. Suppose i = v + 2. Calculate the least common multiple of 8 and v.
8
Find the common denominator of ((-6)/(-26))/((-14)/(-217)) and -63/8.
104
Let a be 4/18 - (-100)/(-423). Let r = a - -6913/282. Let q = -152/21 - -67/6. Find the common denominator of r and q.
14
Suppose 0 = 5*r - 9*r - d + 110, 2*d - 112 = -4*r. Calculate the smallest common multiple of 6 and r.
54
Let s = 4/19789 + 309381190/178101. Let v = s - 313733/180. Let w = 979 + -11731/12. Find the common denominator of v and w.
60
Let o be 6/(-9) + 96/9. Suppose 4*j + o = 9*j. What is the smallest common multiple of 5 and j?
10
Let v = 421/6 - 86. Calculate the common denominator of v and -35/6.
6
Let n(a) be the second derivative of a**5/20 - a**4/2 + a**3/6 + a**2 + a. Suppose -4*j + 3*j + 2 = 0. Calculate the least common multiple of n(6) and j.
8
Let j(s) be the second derivative of s**5/20 + 7*s**4/12 + 7*s**3/6 + 3*s**2/2 - 2*s. Let z be j(-6). What is the least common multiple of 10 and (-5)/z + 2/6?
10
Let h(g) = -5*g + 1. Suppose -5*u - 14 = b, 0 = b + b - 4*u - 28. Calculate the lowest common multiple of h(-2) and b.
66
Suppose -3*r + 15 = -0*r. Suppose -r*b = -5*z - 40, -3*b + b = 4*z - 40. Let k = 16 + -4. What is the lowest common multiple of k and b?
12
Let q = 37 + -35. Calculate the smallest common multiple of q and 16.
16
Let h = 40 + -38. Suppose -5*j + 5*f + 55 = 0, -3*f + 52 = 5*j - 43. What is the lowest common multiple of h and j?
16
Let x(k) = -k + 1. Let c be x(-3). Let v be (3002/c)/(803/3). Let t = v - 62/73. Find the common denominator of 35/4 and t.
44
What is the common denominator of (-6)/(-39) + 1725/(-312) and 44/15?
120
Let r = 11825 - 15348851/1298. Let w = r - 11356/1947. What is the common denominator of w and 37/20?
60
Let k = -11 - -19. What is the lowest common multiple of k and (-1)/4 + 41/4?
40
Let s = 561 - 102. Let h = -22/45 + 749/90. Calculate the common denominator of h and s/(-30) - -2 - -1.
30
Let k = 23 + -16. Suppose k = 5*d + a, -2*d + 6 = 2*d + a. Calculate the smallest common multiple of d and 2*(-2)/(2 - 4).
2
Let n(w) be the first derivative of w**2/2 - 2. Let h = 39 - 30. Calculate the least common multiple of n(3) and h.
9
Let z = -9 - -13. Suppose d + 3 = 4*a, -z*d + 7*d = -5*a + 42. Calculate the smallest common multiple of d and 3.
9
Suppose 0 = 4*j + 5*a - 3 - 89, -5*a - 160 = -5*j. Calculate the least common multiple of 44 and j.
308
Let h be (-2425)/20 - 2/(-8). Suppose 0 = 7*p - 3*p - j + 312, 3*p + j = -241. Let q = p - h. Calculate the common denominator of -32/7 and q.
7
Let k be (8/(-10))/((-2)/50). Let o = k - 10. What is the smallest common multiple of o and 6?
30
Let g = -412747/20 + 20642. What is the common denominator of 91/12 and g?
60
Suppose -16 = 5*q - 36. Suppose 34 = 2*r - 2*n + q*n, 69 = 5*r + n. Let x = r - 5. What is the lowest common multiple of x and 5?
40
Suppose -6*a = -a + 70. Calculate the common denominator of -143/6 and (-37)/a - (4 + -3).
42
Find the common denominator of (-190)/(-28) + (-4 - -2) and -59/44.
308
Calculate the lowest common multiple of 3 - 0 - (18 - 25) and 4.
20
Let h = 7 - 6. Calculate the common denominator of (-387)/(-90) + -5 + h and -34/7.
70
Calculate the common denominator of -29/10 and 33/(-30) + (-15)/(-5).
10
Let b be 4328/(-5) + 3/15. Let w = b - -34221/40. Calculate the common denominator of -1 - (-15)/9 - 5 and w.
24
Suppose -b - 3 = -n - 2*n, 9 = 5*b - 3*n. Let p = b + -1. Calculate the common denominator of (1/20)/(1/p) and -13/6.
30
Suppose 3*v - 4*r + 3 = 0, -2*v - 2*v = 2*r + 4. Let d be -2 + 4 - (v - 1). Suppose -4*y + 0 = -d. Calculate the least common multiple of y and 9.
9
Suppose j - 609 = 677. Suppose -j = r - d - 2*d, -3*r = 3*d + 3858. Let g = -2505/2 - r. Calculate the common denominator of 31/2 and g.
2
Let k be 1/1*(0 - 3). Let c be 26*(k/6 + 1). Find the common denominator of -40/11 and c/(-12) - 1/(-4).
66
Let j(z) = -z + 2 + 4*z**2 - 5*z**2 - z. Let l be j(-3). Calculate the least common multiple of l/(-3) - 44/(-12) and 6.
12
Let h = -231/10 - -107/10. Let x = 13129/5436 - -2/1359. Find the common denominator of h and x.
60
Let o be 9 - 6 - (-1827)/(-88). Let g = o - -181/8. What is the common denominator of g and -37/18?
198
Let x(u) = u**3 - 2*u**2 + 2*u. What is the smallest common multiple of 10 and x(2)?
20
Suppose 4*h - 30 = 2*x, -2*h - 5*x + 8 = -1. Calculate the smallest common multiple of h and 7.
7
Let q(r) = 29*r**2 - 3*r - 1. Let f be q(6). Let a = -4063/4 + f. Find the common denominator of -137/18 and a.
36
Let q = 51 + -23. Calculate the smallest common multiple of q and 6.
84
Let h(w) be the third derivative of -w**6/120 + 2*w**5/15 - 7*w**4/24 + 2*w**3/3 - 7*w**2. What is the lowest common multiple of 9 and h(7)?
36
Let q = -2/15085 - 1553743/90510. Let x be (-34)/((-21)/223 - 1). Let d = x + 26/61. What is the common denominator of d and q?
6
Let z(t) = t**3 - 6*t**2 + t - 2. Let r be z(6). Suppose -2*h + r*f + 12 = 0, 0 - 9 = -h + 5*f. What is the lowest common multiple of 5 and h?
20
Let z(t) = -6*t - 70. Calculate the smallest common multiple of (-6)/4*(-44)/3 and z(-12).
22
Let p = 13171 + -236981/18. Find the common denominator of p and 51/2.
18
Let c be (2/6)/((-5)/345). Let s = c - -41. What is the smallest common multiple of 6 and s?
18
Suppose 2*g - 3*k = 4 - 5, 2*k = 2*g. Let z = g + -3. What is the common denominator of 10 and z + (86/22 - -2)?
11
Let v be (8/48)/(569/(-3)). Let a = v - 56889/12518. Calculate the common denominator of a and 52/11.
11
Let c(f) = -f**2 + 7*f + 1. What is the least common multiple of 4 and c(6)?
28
Suppose -5*g - 3*y = -23, 2*y + 3*y = 4*g - 11. What is the least common multiple of g and 40?
40
Let o = -6860327362709/10818 + 634158567. Let y = 4/601 - o. Let z = -24761/180 + 1270/9. What is the common denominator of y and z?
180
Let v = 12427/996 - 98/249. What is the common denominator of v and -101/22?
132
Let k be ((-2)/(-5))/((-84)/(-11795)). Let s = 58 - k. What is the common denominator of 8 and s?
6
Let q = -2 + 5. Suppose 0 = q*d - 5*d - 10. Let y(k) = k**2 + 3*k - 4. What is the least common