)/(-30)). Find the common denominator of 12 - 12 - 64/q and -53/9.
63
Let o be (10/2)/((-4)/(-8)). Suppose 4*i + o = 2. What is the common denominator of 109/22 and (-1)/(-6)*109/i?
132
Let i be -2 + 449/470 + 1. Let f = i - 12/47. Calculate the common denominator of (-2338)/336 + (-3)/((-27)/3) and f.
40
Let s = 10 - 7. Suppose -7*i + 24 = -s*i. Suppose 3*d + 2*r - 15 = 0, d + 9 = 4*d + 4*r. Calculate the lowest common multiple of i and d.
42
Let t = 1 + -1. Suppose 0 = -o + a + 4, t*a = 2*o + a - 5. Suppose 0 = -k + 5 + o. Calculate the least common multiple of 16 and k.
16
Let c = 937/752 + -38/47. Calculate the common denominator of 2/8 + (-482)/24 and c.
48
Suppose x = -3*x. Suppose x = m - 5*m + 8. Calculate the lowest common multiple of 3 and m.
6
Suppose -c + 10 = 3*a, 4*c - a - 58 = -4*a. Suppose z - 2 = 1. Suppose 0 = -z*k - 6, -2*w + 4*w - 6 = k. What is the least common multiple of w and c?
16
Let p = -1 + 2. Calculate the smallest common multiple of p and (1 + 1)*(1 + 0).
2
What is the common denominator of 0 + (2 - 71/14) and 0 - (-51)/(-30)*1?
70
Let k be (2 - 4)/(-2)*-4. Let s be 46*((-198)/k)/(-3). Find the common denominator of 113/6 and 2/5 - s/(-60).
12
Let r = 5 + 11. Let k be (1*3/1)/1. Suppose 0 = 2*y + k*l - 42, 5*l - 13 - 15 = -y. What is the least common multiple of r and y?
144
Calculate the common denominator of -81/8 and 1/(-12)*-173 - 4.
24
What is the common denominator of 11/44*2/4*-67 and -9/40?
40
Suppose l = -4*l + 25. Suppose 2*a - 7*a - 35 = 4*f, -5*f = l*a + 40. Calculate the common denominator of -47/16 and -2 + ((-66)/(-32))/a.
16
Let b = -4727 + 28235/6. Calculate the common denominator of b and -13/20.
60
Let q = 10193/6 - 1705. What is the common denominator of (2/(-15))/(2/42) and q?
30
Let n = -5005/12 + 418. Find the common denominator of n and 27/22.
132
Let u(t) = -3*t**2 + 2*t - 1. Let r(n) = 2*n**2 - n + 1. Let x(p) = 7*r(p) + 5*u(p). Calculate the lowest common multiple of 4 and x(3).
4
Suppose -3 = 3*h + 3. Let r(y) = 0*y - y**2 - 2*y + 0*y**3 - y**3. Calculate the least common multiple of r(h) and 6.
24
Let i be (79/1)/((-8)/30). Let p = -1709/6 - i. Find the common denominator of p and -3/2.
12
Suppose -5*v + 20 = -20. Calculate the lowest common multiple of v and 3/((-3)/4) - -8.
8
Let z = 73/84 + -7/12. Calculate the common denominator of -45/2 and z.
14
What is the common denominator of (-297)/(-42) + 0/(-2) and 198/8 + 12/(-6)?
28
What is the common denominator of 12/21 - (-157)/56 and 68/9?
72
Let g = -5 + 19. Suppose g = l + u, 3*l - 4*u = 2 + 12. What is the smallest common multiple of l and 4?
20
Let n(w) = w**3 - 6*w**2 + 8*w - 5. Let y(o) = o**3 - 2*o - 1. Let j be y(2). Suppose -2*t = -j*t + 5. Calculate the smallest common multiple of 10 and n(t).
10
Suppose -3*f = 15, 4*g - 76 = 5*f - f. Suppose 42 = 4*k + 2*j - 26, -2*k + 4*j = -24. Calculate the lowest common multiple of k and g.
112
Let r be ((-1)/1 - 0)*-7. Suppose 4*y - 8 = 16. What is the lowest common multiple of (r + -5)/(2/11) and y?
66
Let r(a) = a**3 + 6*a**2 - a. Suppose 5*y = -5*w - 30, 5*w - 2*w + y + 18 = 0. What is the smallest common multiple of r(w) and 18?
18
Let a(d) = d**2 + 11. Suppose -5*u - 2*x = 6, -2*u + 0 + 6 = -2*x. What is the smallest common multiple of 11 and a(u)?
11
Calculate the common denominator of 17/10 and (-1 - -11)*(-9)/99.
110
What is the common denominator of 101/14 - (-4)/14 and 43/8?
8
Let w(f) = f**3 - 3*f + 1. Let n be w(2). Suppose 4*l = 5*d - 35, n*l + l + 11 = -3*d. Calculate the common denominator of -69/4 and 9/4*d/(-6).
8
Let v(a) = 5052*a - 9. Let u be v(9). Let d be 2 - (181842/u - 2). Let g = 1015271/151530 + d. Calculate the common denominator of 85/2 and g.
10
Find the common denominator of 610/28 - 6/21 and -69/4.
4
Suppose -q = 4*q - 2*s - 48, -q + 3*s = -7. Let k be 2 + (-14)/(6/(-3)). Let y = 15 - k. Calculate the least common multiple of y and q.
30
Suppose -2*u - u + 3 = 0. Suppose -l = 4*d + 8, 3*l = -5*d - l - 21. What is the common denominator of -137*d*u/6 and -19/11?
66
Suppose 0*k + 3*k = -5*v + 4, -2*k = -3*v + 10. Let o = -26 + 44. What is the least common multiple of o and ((-76)/k)/2 + -1?
18
Suppose 4*p - 4*y - 76 = 0, 0 = -2*p - 0*y + y + 41. Suppose -26 = -3*b + 82. Calculate the least common multiple of b and p.
396
Let r be (-1)/(-5) + (-21)/5. Find the common denominator of -28/3 and (116/(-24))/(2/r).
3
What is the smallest common multiple of 2/8 + (-18)/8 + 12 and 12?
60
Let u = 77896654 - 77896661413/1000. Let m = 2741159/750 - 21931/6. Let a = u - m. Calculate the common denominator of a and -19/4.
8
Let a be 0/((-1 + 0)/1). Let w = a + 1. What is the least common multiple of w and 9?
9
Let j = -2173/7 - -311. Let t(c) = -18*c**3 + 5*c**2 - 8*c + 10. Let w be t(-8). Let q = 96209/10 - w. What is the common denominator of j and q?
70
Let m = 98 + -1957/20. Find the common denominator of 23/18 and m.
180
Let l = 12099/8 + -1517. What is the common denominator of l and 45/7?
56
Let n be (-700854)/(-40) - (-2 - -1). Let w = 17527 - n. Find the common denominator of w and 83/18.
180
Let b = 21 + -15. Suppose -12 = -3*r, g - 7*r = -5*r + 4. What is the smallest common multiple of g and (b/(-5))/(2/(-10))?
12
Let c = 23510 + -423307/18. Calculate the common denominator of -83/18 and c.
18
Let n = 8770 - 14578. Let k = n - -57963/10. Calculate the common denominator of 1 - (-124)/32 - 1 and k.
40
Let z(n) = 2*n - 4. What is the smallest common multiple of -1 - (0 - 3) - -18 and z(4)?
20
Suppose 9*f = 8*f - 4298. Let l = f - -94609/22. Find the common denominator of l and 71/20.
220
Let s(l) = -2*l - 2. Suppose 0 = -2*d + 31 + 3. Suppose -5*z + 127 = d. Calculate the lowest common multiple of s(-6) and z.
110
Find the common denominator of -29/16 and 4/10 - ((-3294)/60)/(-9).
80
Let v(f) = -f**3 - 10*f**2 + 11*f + 12. Suppose 0 = -j - 5*b - 9, -33 = -0*j - 3*j + 5*b. What is the lowest common multiple of j and v(-11)?
12
Let x = 10 + -2. Suppose 4 = -3*y + 1. What is the lowest common multiple of x and (3/(-4))/(y/8)?
24
Let v = -2 - -5. Suppose v*w + 2*w = 0. Suppose 2*s - 5*b - 18 = 0, -2*s - 2*b = -w*s - 18. Calculate the least common multiple of 3 and s.
9
Let d = 198587/4 + -51074. Let s = -1450 - d. What is the common denominator of 2 + 0 - (-122)/(-18) and s?
36
Suppose 2*y = 5*x - 632, 4*y = -0*x + 4*x - 508. Suppose n + n + 36 = b, -4*b - n = -x. What is the common denominator of b and -37/10?
10
Let o = -7 - -5. What is the common denominator of 46/7 and o/3 - (-134)/48?
56
Suppose 3*x + 86 = x. Let k = x - -65. Calculate the smallest common multiple of k and 16.
176
Let m be (-4)/10 - (-1063)/2720. Let n = -1460218/241 - -2387471375/393312. Let w = m + n. Calculate the common denominator of w and 13/18.
18
Suppose -3*k - k = -7144. Let v = -1/136 + 1871/136. Calculate the common denominator of k/(-144) - 2/9 and v.
8
Let u = -2 - 0. Let v = 7 - u. What is the least common multiple of 7 and v?
63
Suppose v + 23 = 2*w - 6, -w = -5*v + 8. Calculate the lowest common multiple of 9 and w.
153
Let j(p) = 7*p**2 - 9*p. Let i(h) = h**3 + 7*h**2 + 3*h + 4. What is the lowest common multiple of i(-6) and j(2)?
110
Let d(x) = -x**3 - 17*x**2 - x - 16. What is the smallest common multiple of (4 + -2)/(3/3) and d(-17)?
2
Suppose 3*i + 12 = 7*i. Suppose 6 = 9*x - 57. Calculate the lowest common multiple of x and i.
21
Let u = 24893/7 + -3563. What is the common denominator of u and 252/55 + (-2)/5?
77
Calculate the common denominator of 31/8 and 3/(-54)*31 - 3.
72
Suppose 5*r - r - 112 = 0. Suppose -2*c - r = 2*j - 4*j, -5*j - 2*c = -77. Suppose 3*m = -j, m = 4*h - 3 - 30. Calculate the lowest common multiple of h and 6.
42
Let f = 20 + -12. Calculate the lowest common multiple of f and 1/2 - 62/(-4).
16
Suppose 2*f - 3*u + 45 = -2*u, u = -2*f - 35. Find the common denominator of ((-92)/f)/((-6)/25) and -68/3.
6
Let h = -30 + 0. Calculate the common denominator of -17/4 and (-87)/4*2/h.
20
Calculate the least common multiple of (0 + 18)*-1*3/(-6) and 3.
9
Find the common denominator of ((-22)/(-8))/(8/(-6)) and -83/12.
48
Let o = -3623/426 + 1/213. What is the common denominator of o and -41/8?
8
Let w = -17 + -15. Find the common denominator of w and 4