 0. Let n(u) = -u**3 - u**2 - u + 4. What is the lowest common multiple of 14 and n(k)?
28
Let w = 49/6 - 569/66. What is the common denominator of w and (24/3)/((-6)/(-8))?
33
Suppose 3 - 15 = -y - 2*k, -2*y + 30 = k. Calculate the lowest common multiple of y and 22.
176
Let r(b) = 23*b**3 + 3*b**2 - 8*b - 9. Let x be r(8). Let a = x + -119049/10. What is the common denominator of a and 47/14?
70
Let t = -140/69 - 151/345. Calculate the common denominator of -7/24 and t.
120
Let t = -11717/84 - -1005/7. Calculate the common denominator of -61/5 and t.
60
Let u(w) = 11*w**3 + w**2 + w - 2. Calculate the lowest common multiple of 1 and u(1).
11
Let z(k) = -7*k - 9. Let q be z(-6). Suppose 4*a + q = -107. Let m = -17 - a. What is the lowest common multiple of 20 and m?
180
Let d = 98/11 - 93/11. Calculate the common denominator of d and -1*3 + (-117)/(-6).
22
Suppose -7 = 2*r - 31. Let h be (-36)/(-16) - 9/(-12). Suppose -h*p + 4*w = -22, -3*w + 7 = 2*p + 2*w. Calculate the lowest common multiple of p and r.
12
Let a = -8/57 + 160/57. Let s = -3/527 - -12136/2635. Find the common denominator of a and s.
15
Let p be 10/(24/13334*1). Let m = -4772 - -10312. Let y = p - m. Calculate the common denominator of -39/4 and y.
12
Let u = 4333/24 - 1111/6. Let z = 16 - 4. Find the common denominator of (124/z)/((-11)/3) and u.
88
Let a be (-2)/(-9) - (-119679)/193968. Let l = a + -12/449. What is the common denominator of -75/8 and l?
16
Suppose q + 2*q = 3*h + 42, -4*q + 2*h = -50. What is the lowest common multiple of 4 and q?
44
Let t = 51 + -33. Let v = -11 + 7. Calculate the lowest common multiple of 8*3*v/(-12) and t.
72
Let v = 827963/10 - 82644. Let k = -772/5 + v. Calculate the common denominator of k and 43/8.
40
Suppose 3666 + 7630 = -4*x. Let k be (-1)/(-4) + x/(-228). Let g = 22/57 - k. Calculate the common denominator of g and 33/4.
4
Suppose 12 = 6*q - 24. What is the lowest common multiple of q and 34?
102
Let l be (1/2)/((-9)/(-2790)). Suppose -2*i = 4, 0*a - 3*a - l = 4*i. Calculate the common denominator of 53/29 and a.
29
Let m(h) = 7*h - 1 - 3 - 6*h + 3*h**2 - 2*h**2. Calculate the lowest common multiple of 7 and m(-4).
56
Let p = -3982 + 15831/4. Find the common denominator of -149/6 and p.
12
Suppose 5*h = -5*u + 125, -4*h = -h - 2*u - 100. Let f be 18/h + 4/10. What is the smallest common multiple of 110/12 - f/6 and 11?
99
Calculate the common denominator of -41/4 and (166/(-6))/(96/(-18)).
16
Let l(x) = x**3 - 6*x**2 - 2*x + 1. Let c be l(6). Let t be 145/c*(-74)/(-52). Let g = -5/572 - t. What is the common denominator of -5/16 and g?
16
Let w = -95/6 + 13/3. What is the common denominator of 49/18 and w?
18
Let u = 30421/8 + -3791. Find the common denominator of 3/19 and u.
152
Find the common denominator of 70/8 - (1 - 4) and -13/8.
8
Let z(y) = -y**2 - 6*y - 9. Let w be z(-4). What is the common denominator of w/4 - 24/16 and -51/4?
4
Let m = 15 - 10. Suppose 0*t - 17 = -4*t - j, m*j = 4*t - 11. Suppose 0 = u - 0 - 9. Calculate the smallest common multiple of u and t.
36
Let j(o) = o + 1. Let m be j(2). Suppose m*y - 306 + 81 = 0. Find the common denominator of -109/20 and (y/(-10))/((-24)/19).
80
Let x(t) = t**3 - 3*t**2 + 2*t - 3. Let v be x(3). Suppose 3*m = 3*k - 36, 4*k + v*m + 22 = 5*k. Find the common denominator of 26/k + (-4)/8 and -13/2.
14
Let i be (-2 - 26/8)*-12. Let f be (4/i)/((-5)/60). Let c = 325/42 - f. Find the common denominator of c and 7/8.
8
Let p(w) = -w**2 + 4*w + 2. Let y be p(4). Suppose 3*x - 110 = -y*x. Calculate the lowest common multiple of (-2)/(6/(-9)) - -7 and x.
110
Let v(s) = s**3 + 6*s**2 - 3*s - 8. What is the smallest common multiple of v(-6) and 78/5 + (-22)/(-55)?
80
Suppose -111 = 2*t + 5*x, t + 24 = 5*x - 39. What is the common denominator of t/4 - (4 - 4) and -27/10?
10
Let t = 12 - -2. Calculate the least common multiple of t and 20.
140
Calculate the common denominator of ((-16)/6 - -3)/((-6)/74) and 59/4.
36
Let s = 147 + -87. What is the common denominator of (-4)/(-12) + 382/s and (-97 + 1 + 2)/(-4)?
10
Let s(l) = 4*l. Let r(g) = 3*g - 1. Let h(a) = 3*r(a) - 2*s(a). What is the lowest common multiple of h(6) and 4?
12
Let h = 770311/32 - 24070. Calculate the common denominator of h and 1/4.
32
Let i be (1/(-2)*-2)/(-1). Let h be (-13)/i + 2 + 1. Let v = h + -9. What is the lowest common multiple of 3 and v?
21
Suppose n - 2*g = 5*n + 42, 2*n = -5*g - 9. Calculate the common denominator of 8/n - (-574)/132 and -81/14.
154
What is the smallest common multiple of (-8)/(-12) + 90/27 and 48?
48
Suppose -4 = -3*r + 2*r, -8 = 3*d - 2*r. Suppose 0 = 4*o + 5*a - 98, 96 = 4*o - d*o + 4*a. What is the least common multiple of 18 and o?
198
Suppose 3*q + 4*u = 1392, 2*q - 2*u - 1392 = -q. Let d = q - 3619/8. What is the common denominator of 22 and d?
8
Let o = -1319102/61 - -21623. Let s = o - -3537/488. Let w = -66110/9 - -7353. What is the common denominator of s and w?
72
Let g be 2 - ((-6)/(-2) + -3). Suppose 1 = -u - 0, -5*u - 19 = -g*l. What is the lowest common multiple of l and 3?
21
Let g(s) = 206*s**2 + 2*s + 2. Let q be g(-3). Let a be 4/(-18) + (-32647)/(-18). Let k = a - q. Find the common denominator of k and 43/6.
6
Calculate the common denominator of ((-36)/18 + 1 + -32)/182 and -31/6.
546
Calculate the common denominator of -17/18 and -199*5/(-450) + -2.
90
Let c(r) = -4*r**2 - r. Let h be c(1). Find the common denominator of 49/20 and 1177/(-55)*h/14.
140
Let h = 75757/10 - 7585. What is the common denominator of h and -103/12?
60
Let c(z) = -z. Suppose -v + 346 = 5*o, 4*v - 794 - 686 = 4*o. What is the least common multiple of c(-2) and 1/(-3) - v/(-18)?
20
Let x be 2/(-3) - 32/(-12). Suppose 6 = x*w - 4. What is the smallest common multiple of 10 and w?
10
Suppose 0 = -4*d - 0*d - 5*h + 28, 4 = -4*d + 3*h. Let x = 4344 + -39026/9. Calculate the common denominator of x and (-94)/(-18)*d - 2.
9
Calculate the common denominator of 296/(-32)*(-1)/(-4) and (-4)/22 + 97/(-22).
176
Let d be 4 - (2/(-2) - -3). Suppose -2*w + 5 = -p - d*p, -7 = -3*p - w. Calculate the lowest common multiple of 6 and ((-44)/(-2))/(p + 1).
66
Calculate the common denominator of 41/158 and (1 - 8)/(-7)*(-41)/10.
790
Let j = 72/101 + 6681/404. Let z = j - 20. Find the common denominator of z and -1*(-515)/(-110) - -2.
44
Suppose -250 = -3*i - 2*i. Let g(q) = -3*q**2 + q + 2. Let w be g(-3). Let o = w + i. Calculate the smallest common multiple of o and 10.
110
Let g be ((-2)/(-12))/(5/109257). Let o = 3374 - -264. Let y = o - g. Find the common denominator of 11/7 and y.
70
Let f(x) = -879*x - 3. Let b be f(-11). Let v = b + -212607/22. Find the common denominator of 69/16 and v.
176
Let l = 7 - 3. Let v = l + -2. What is the least common multiple of v and 2?
2
Let a = 36923/10 + -3682. Suppose 3*f = -2*f + 770. Calculate the common denominator of (-2)/(-11) + (-4879)/f and a.
10
Suppose 2*o = 7*o - 45. What is the common denominator of (-254)/(-48) - 6/o and 9/(-6)*(-22)/(-10)?
40
Let x be 1/(2 + (-30)/16). Let i = -14 + x. Let o = 14 + i. What is the lowest common multiple of o and 10?
40
Let g = -33969287171/140 - -242639325. Let s = -10879/7 + g. What is the common denominator of s and 13/20?
20
Suppose -x + 8 = x. Suppose x*r + 17 - 49 = 0. Calculate the least common multiple of r and 10.
40
Suppose 1 = p - 4. Let f = 14 - p. Suppose 15 = u + 4*j, -2*j + f = j. Calculate the least common multiple of u and 8.
24
Suppose -2*r - r = 18. What is the least common multiple of 8 and (-3)/r*(1 - -1)?
8
Let u be 1/2*(-134384)/36. Let n = u - -1869. Calculate the common denominator of 17/9 and n.
9
Let x = 12 + -26. Let p = x + 30. What is the smallest common multiple of p and 4?
16
Suppose 3440 = -i - d, 4*i + 0*i = -d - 13763. Let w = i - -27623/8. Calculate the common denominator of -67/4 and w.
8
Let m(n) = -n**3 + 7*n**2 - 4. Let h be m(7). Let b = 7 + h. Suppose -5*z = t - 25, b*t = -3*z - 0*t + 27. What is the smallest common multiple of z and 8?
8
Suppose 60 = 249*s - 245*s. What is the smallest common multiple of 39 and s?
195
Find the common denominator of -97/12 and ((-29)/5)/((-18)/(-135)).
12
Suppose -9*f + 100 = -5*f. What is the common denominator of (f/15)/((-1)/7) and 49/6?
6
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