 = -x**3 - 11*x**2 + 11*x - 9. Let t be z(-12). Calculate the least common multiple of 4 and 1 - ((t - 1) + -3).
4
Let j = 17 + -10. Let m = 26 - 17. Calculate the least common multiple of m and j.
63
Suppose 12 = -4*d - 8. Find the common denominator of 21/(-12)*(-2 + -1) and 83/(-70) + (-2)/d.
28
Suppose -5*b + 34730 = -0*b. Let m = b + -97283/14. Let u = 5978/15 + -2453/6. Find the common denominator of m and u.
70
Let r be (3/(-2))/((-3)/(-8)). What is the common denominator of 527/(-42) - r/(-14) and 27/10?
30
Find the common denominator of ((-3)/6)/((-8)/162) and 47/2.
8
Let h be ((-10)/15)/((-4)/6). Find the common denominator of (-163)/20 - 1/(-4) and h - (137/22 + -1).
110
Let k = -11603/15 - -41606/45. Let y = k - 743/5. What is the common denominator of y and 8/3?
9
Let k(u) = -u + 8. Let s be k(6). Suppose s*r = 3 + 1. What is the lowest common multiple of 11 and r?
22
Suppose -3 - 1 = -r. What is the lowest common multiple of r and 34?
68
Suppose 20 = 11*i - 46. What is the smallest common multiple of i and 12?
12
Suppose 4*a = -2*b + 22, -3*b - 5*a + 3 = -4*b. Suppose -6 = -0*o - o. What is the smallest common multiple of o and b?
42
Let g = -863/20 - -122/5. Let h = 2/305677 - -6178037819/4279478. Let j = -1443 + h. What is the common denominator of j and g?
28
Let k = -5389/1460 + 3/73. What is the common denominator of k and -17/22?
220
Suppose 3*c - 14 = -n, -3*n + 6 - 4 = c. Suppose -c*a + 20 = 0, -4*r + 2 = -3*a - 2. Suppose -20 = -4*u + 12. Calculate the least common multiple of r and u.
8
Let c = -10 - -24. Let o = 42 - 20. Calculate the smallest common multiple of o and c.
154
Suppose -3*h + 5 = -2*h. Suppose h*n = n. Calculate the smallest common multiple of 16 and 1 - (-7 - n)*3.
176
Suppose -2*i = -3*v + 10, -7*v = -2*v. Let y = -3 - i. Let m(w) = w**2 - 2*w - 2. Calculate the lowest common multiple of y and m(6).
22
Let u(k) = k**3 - 3*k**2 - 3*k - 20. What is the lowest common multiple of 18 and u(5)?
90
Let b be (64/40)/((-2)/(-20)). What is the common denominator of 3 - (-4)/(b/(-93)) and 82/24 + 6/18?
4
What is the smallest common multiple of 1 and ((-289)/(-34))/(2/4)?
17
Let m = -274 - -607/2. Calculate the common denominator of 43/80 and m.
80
Suppose -2*w = -4*w. Suppose 0 = 4*x - c + 9058, 5*x + 3*c = -w*x - 11331. Let l = 45181/20 + x. Calculate the common denominator of l and 117/20.
20
Let k = 14/517 - -29971/19646. Calculate the common denominator of 119/6 and k.
114
Let x = 16 + -28. Calculate the common denominator of -37/4 and 12 + -1 + (-14)/x.
12
Suppose -4*l + 5*l - 113 = 0. Let p = -667/6 + l. Calculate the common denominator of -7/2 and p.
6
Suppose 3*h + 17 - 2 = 0. Let g = h + 19. Suppose -4*d - 4 = -4*i, 7*d - 4*d = -3*i + 33. Calculate the smallest common multiple of i and g.
42
Suppose -5*i - 7 - 17 = -y, -3*y - i = -136. Suppose -16 = -3*l + y. What is the lowest common multiple of l and 14?
140
Let a = -13617/3223 + -14/293. Let f be (88856/4535)/((-12)/2). Let s = 1/907 - f. What is the common denominator of a and s?
165
Let h(x) = -x**2 - 3*x - 1. Let g be h(-4). Let u = 3 - g. Calculate the smallest common multiple of u and 6.
24
Let i = 1087/4 + -274. Let a = 9011/40 - 1082/5. Calculate the common denominator of a and i.
8
Let q = 0 - 0. Suppose 2*y = -q*y - 38. Let w = 35 + y. What is the smallest common multiple of 8 and w?
16
Suppose -3 + 6 = 3*y. Let c = -14 + 24. What is the smallest common multiple of 25/10 - y/2 and c?
10
Let h = -8065/394 - 6/197. Calculate the common denominator of -45/4 and h.
4
Suppose 2*g - 2 = 3*g, 5*a + 5*g = 100. Suppose 4*u - 7 - 9 = 0. Let d = 2 + u. What is the smallest common multiple of a and d?
66
Let z be (-97)/4 - 3/(-12). Suppose 3*q - 28 = -2*b, -b + 0*b + 5*q + 14 = 0. Calculate the lowest common multiple of b and (10/3)/((-4)/z).
140
Let g = -52501/26 + 2019. Calculate the common denominator of g and -97/6.
78
Let b(s) = 18*s**2 - 4*s + 2. Calculate the lowest common multiple of 40 and b(1).
80
What is the smallest common multiple of 14 and ((-78)/(-15))/((-1)/(-5))?
182
What is the common denominator of -21/8 and (18/16 + 0)/((-21)/28)?
8
Suppose 3*n - 1 = 71. Suppose -2*a - n = -5*a. Let c = 24 + -16. Calculate the least common multiple of c and a.
8
What is the common denominator of (-51)/9*(-45)/(-24) and 53/7?
56
Let n(l) be the second derivative of -l**3/6 - 3*l**2/2 + l. Let q = -65 - -75. What is the lowest common multiple of q and n(-6)?
30
Let k(x) = x**2 + 5*x - 19. Let d be k(-8). Find the common denominator of -47/2 and -3 + ((-895)/(-12))/d.
12
Let f = -5 - -10. Calculate the lowest common multiple of 11 and f.
55
Let f = 13839 + -3016897/218. Let g be (-6)/14 + 126759/(-9156). Let z = f + g. Calculate the common denominator of z and 97/8.
8
Let f be 1/1 - (-3185)/14. Let j = -2193/10 + f. Calculate the common denominator of 22/7 and j.
35
Suppose b - 4*r + 12 = 0, 5*b - r = 3*b + 4. What is the lowest common multiple of 2 and 2/(-8) - (-17)/b?
4
Let b = 395/7 - 58. What is the common denominator of -41/5 and b?
35
Let s = 28 + -26. Let w = 21 - 12. What is the smallest common multiple of w and s?
18
Suppose -4*b + 20 = b. Calculate the lowest common multiple of b and 20.
20
Let a be (48/(-28))/(3/110). Let l = a + 3571/42. What is the common denominator of -77/4 and l?
12
Let m = -6 - -10. Suppose 20 = 2*k + m. Let d(g) = 2*g**2 + g - 1. Calculate the smallest common multiple of k and d(3).
40
Let h be ((-57)/((-6)/2))/21. Let m = 853/84 - h. Calculate the common denominator of 4/6 - 358/60 and m.
20
Let m = -1642/3 - -571. Calculate the common denominator of -91/6 and m.
6
Let y = -296 + 304. Calculate the smallest common multiple of (0 - (-8)/6)*3 and y.
8
Let j = 50307/11 + -4577. What is the common denominator of -53/141 and j?
1551
Let p(g) = -g**2 - 6*g - 2. What is the smallest common multiple of 6 and p(-4)?
6
Suppose 2*t - 108 = -2*s, -2*t + 116 = 4*s - 0*s. What is the least common multiple of 18 and t?
450
Let m = 3 + 2. Calculate the smallest common multiple of 5 and m.
5
Suppose -20 = 5*c + 5*b, 3*c = -c - 2*b - 16. What is the common denominator of -89/16 and ((-141)/(-12) + -2)/c?
16
Let y = 129 - 126. Calculate the smallest common multiple of 9 and y.
9
Let y = 1 + -1. Suppose -14 = -5*x + t, y*x - 10 = -5*x + 5*t. Let u(h) = h**2 - 10*h - 29. Calculate the smallest common multiple of u(13) and x.
30
Let d = -1333 + 2894. Let a = d - 3179/2. Find the common denominator of 89/14 and a.
14
Let b = -4 - -7. What is the least common multiple of b and 5?
15
Let t = -23 - 283. Let f be t/24*302/(-3). Let c = f + -1257. Find the common denominator of -38/3 and c.
6
Let l = 0 - -7. Let j = 108 - 61. Suppose 3*y - 7*y = -2*m + 6, 0 = -5*m + 2*y + j. What is the lowest common multiple of l and m?
77
Calculate the common denominator of -31/20 and ((-29)/(-16) + 0)/((-2)/8).
20
Let h = 1/993 - 1673/17874. What is the common denominator of h and -81/2?
54
What is the smallest common multiple of 78 and (-8)/(((-4)/15)/(6/15))?
156
Let r(c) = c**3 + 52. Let x be r(0). Calculate the common denominator of (-642)/(-4)*1/(-15) and (-273)/x*5/(-9).
60
Let s(k) = -3*k - 12. Calculate the smallest common multiple of 14 and s(-10).
126
Let u = 47 - 41. Calculate the smallest common multiple of u and 3.
6
Let l = -50/7 - -9. Let d(v) = v**2 - 11*v + 9. Let x be d(8). What is the common denominator of l and (-732)/x*1/4?
35
Suppose -t + 4*p - p = -11, -3*t - p = 7. Find the common denominator of 2/16*31*t and 101/20.
40
What is the common denominator of -31/12 and 33/54*10*(-3)/(-12)?
36
Let m(b) = -5*b + 4*b - 3*b. Calculate the lowest common multiple of m(-1) and 7.
28
Let t(d) be the second derivative of 3*d**5/20 - d**4/6 - d**3/3 - 3*d. Let f be t(-2). Let b = f + 16. Calculate the common denominator of 11/10 and b.
10
Let p = 8 + -6. Calculate the least common multiple of 9 and p + 14/(1 - -1).
9
Let o(z) = z**2 - 5*z - 8. Let r(f) = -f**2 - 8*f - 8. Let m be r(-5). Calculate the smallest common multiple of o(m) and ((-18)/15)/(1/(-5)).
6
Let o = -62774/21 - -2987. Calculate the common denominator of o and 52/15.
105
Let b be (482/(-4))/(1/(-10)). Let j = b - 4855/4. Calculate the common denominator of j and 8/28 + 194/56 - -