 s(t) = 2*t**2 + 4*t + 3. Let a be s(-2). Suppose a*i = i + 8, 5*i = -5*k + 60. What is the lowest common multiple of k and 12?
24
Let b = -32 + 42. What is the least common multiple of 10 and b?
10
Let a(i) = -i**3 - 9*i**2 - 8*i + 2. Let w be a(-8). Suppose -w*c - c + 42 = 0. What is the lowest common multiple of -4*(0 + (-22)/4) and c?
154
Let f = -1 - -7. Suppose w + 60 = f*w. Suppose -t + 2 = -w. Find the common denominator of t and -74/3.
3
Let c be 5/(-5) + 1 + 0. Calculate the common denominator of 109/6 and 226/(-12) - c - 2.
6
Let c be (12/(-8))/((-23)/15781). Let j = -1120/23 + c. Let z = -958 + j. What is the common denominator of -16/3 and z?
6
Calculate the smallest common multiple of 10/(-4)*(30/25 - 6) and 60.
60
Let z be 1/(-2)*3*218794. Let p be 2 - z/(-60)*-2. Let c = p + -10931. Calculate the common denominator of c and -27/2.
10
Let q = -12160/28952403 - -6/6763. Let p = 209753/34248 + q. Find the common denominator of p and -41.
8
Suppose 3*p + 2*t - 126 = -t, 3*p + t - 122 = 0. Suppose -5*o = -5*u - 18 + 68, 4*o + u = -p. Let b = o + 17. What is the least common multiple of 8 and b?
56
Find the common denominator of -10/7 and (4/(-16))/(1/51).
28
Suppose -2*b = -4, 2 = c + 2*b - 8. Calculate the lowest common multiple of c and 4.
12
Let n = -51619/12390 + -1/2065. Calculate the common denominator of -6/7 and n.
42
Let n = 1/1203 + 63751/9624. Calculate the common denominator of (-2 + (-45)/(-22))*-2 and n.
88
Let w = -4 + 15. Suppose 3 = z + 1. Calculate the lowest common multiple of w and z.
22
Let q(b) = 1678*b**3 + 2*b - 1. Let d be q(1). Let n = -16803/10 + d. What is the common denominator of n and -11/6?
30
Suppose 3*q + c = 26 + 230, 2*q - 5*c - 148 = 0. What is the least common multiple of q/15 + 4/10 and 1?
6
Calculate the common denominator of 1 + -1 + (-18)/(-22) and (60/8)/((-6)/26).
22
Let v = -213 + 603. Suppose j + v = -3095. Let n = -69583/20 - j. What is the common denominator of -81/8 and n?
40
Let u(h) = -60*h + 8. Let l be u(10). Let o = -417120/7 + 58992. Let v = l - o. What is the common denominator of v and -20/9?
63
Let k = 11 - -8. Suppose 18*z + 1 = k*z. What is the lowest common multiple of z and 11?
11
Suppose -3*m = m - 12. Suppose -m*g - 5 + 11 = 0. What is the smallest common multiple of 7 and g?
14
Let x = 15150570655159/8112 + -1867673895. Let y = 10/507 - x. Find the common denominator of y and 29/12.
48
Let w(u) = -u**3 + 5*u**2 + 9*u - 6. What is the smallest common multiple of 10 and w(6)?
60
What is the common denominator of 354/(-140) + 4/(-10) and (0 + (-43)/(-5))/((-32)/(-40))?
28
Suppose -4*n = -n - 33. Suppose -b + 43 = 40. Calculate the lowest common multiple of b and n.
33
Let y = 22 - 3. Let v = -1 + y. Calculate the least common multiple of v and 6.
18
Let x = 139747/18 - 7759. Calculate the common denominator of x and -81/2.
18
Let g = 5445457 - 65398469/12. Let o = -4422 - g. Find the common denominator of -29/12 and o.
12
Suppose 0 = 4*q - q - 15. Suppose 3*h + 3*z - 24 = 0, -2*h - 2*h - q*z = -31. What is the lowest common multiple of h and 8?
72
Calculate the common denominator of (1 - 0 - (-325)/40) + -3 and 0 - (2 + 34/(-18)).
72
Suppose -5*a + 45 = -0*a. Suppose -2*i = -u - a, 0*u = -2*u - i + 7. Let b = -11 + 13. What is the least common multiple of b and u?
2
Suppose 4*h + 5*i = 23, -2*h - 5 = -3*h - i. Calculate the lowest common multiple of 9 + 1/(3/(-6)) and h.
14
Let y(p) = -11*p**3 + p**2. Let s be (2/4)/(-1)*2. What is the lowest common multiple of y(s) and 12?
12
Suppose 0 = -3*u + 6, 4*f - 58 = 2*f - 5*u. Let s = -42 + f. Calculate the common denominator of 85/(-63) + 4/s and -15.
7
Suppose 8*p = 3*p + 25. Suppose -4*v + 5*u + 68 = 0, 2*u - p - 3 = 0. Calculate the lowest common multiple of 28 and v.
308
Let g(s) = s**2 - 3*s. Let v be g(4). What is the common denominator of 47/10 and (-2)/v + (-47)/(-2)?
10
Let k = 43 + -480/11. Let j = 107/10 + -21/2. What is the common denominator of k and j?
55
Suppose 4*a - 24 - 4 = -5*i, 4*a = 2*i. Calculate the lowest common multiple of 13 and i.
52
Suppose -15917 - 23803 = -5*d. Let q = 17327 - d. Let a = q + -150187/16. What is the common denominator of -19/22 and a?
176
Suppose -48 = 4*u - 8*u. Calculate the lowest common multiple of 9 and u.
36
Let b = 87557/2 + -42039. Let a(c) = 854*c - 1. Let q be a(2). Let y = q - b. Calculate the common denominator of y and 131/6.
6
Let c = 935/12 + -263/3. Find the common denominator of c and -12/11.
44
Suppose -2 = 4*f - 14. Suppose 2*j - 5 = w - 2*w, -3*j = -f*w + 15. Suppose 2*t - 11 - 5 = j. Calculate the smallest common multiple of t and 7.
56
Suppose d - 2*m = 3*d + 60, 0 = -5*m. Calculate the common denominator of 47/9 and (-1)/1 + d/(-36).
18
Let x(l) = -l + 13. Let q be x(11). Suppose -2*j = q*j - 12. What is the lowest common multiple of j and 7?
21
Suppose 0 + 2 = 2*l. Let h = l + 6. Calculate the lowest common multiple of 5 and h.
35
Let c be 26888/(-15) - (-1)/3. Let q = -20/266357 - -14119851527/7990710. Let h = q + c. Find the common denominator of h and -11/3.
6
Let p be (32/(-10))/(4/20). Let l = p + 20. Calculate the smallest common multiple of l and 6.
12
Suppose 0*f - 100 = 2*f. Calculate the lowest common multiple of 6 and (-3)/2*f/15.
30
Suppose -722 = 2*c - 11172. Let q = c + -47083/9. Calculate the common denominator of 83/10 and q.
90
Let p = -7158158548 + 130779556704287/18270. Let t = -39/290 + p. Let g = -4/63 + t. What is the common denominator of -137/6 and g?
42
Let z = -112 - 55. Let d = -407/2 - z. Calculate the common denominator of d and -71/22.
22
Suppose -4*t + r + 119 = 0, 74 = 5*t - 3*r - 73. Suppose -5*c = 3*u + u - 106, 2*c + 3*u - 41 = 0. What is the lowest common multiple of c and t?
330
Let q = 16 + -7. What is the lowest common multiple of 42 and q?
126
Find the common denominator of -67/2 and (-36)/84 - 597/(-70).
10
Let x(m) = -3*m - 7. Let c = 18 + -39. Let o = -13 - c. Calculate the smallest common multiple of x(-5) and o.
8
Let p(i) = 2*i - 8. Let s be p(6). Suppose -s*g + 31 = 5*n - 17, -5*n + 50 = 5*g. Suppose -3 = -5*h + 27. What is the lowest common multiple of h and n?
24
Let g(o) = -o**3 + 8*o**2 - o + 11. Suppose -13 = -3*y + 11. What is the least common multiple of g(y) and 6?
6
Find the common denominator of 28/(-33)*(-6)/(-4) and -17/8.
88
Suppose 0 = 6*j + 12 - 36. What is the least common multiple of 20 and j?
20
Let x(f) = f + 1. What is the least common multiple of 2 and x(9)?
10
Find the common denominator of 29/30 and -3*92/126 + 2.
210
Let i be (-12)/(-3)*(-2)/(-4). Suppose 0 = 5*x - 4*n - 96, 3*n + 25 = i*x - 12. Calculate the smallest common multiple of 34 and x.
340
Let q be (-4)/(-6) + (-18)/27. Calculate the lowest common multiple of 10 and (q - -2)/(1 + 1).
10
Let a = 48 - 42. What is the smallest common multiple of a and 22?
66
Let v(d) = -d**3 - 5*d**2 + d + 7. Let a be v(-5). Suppose 6 = -a*s - 2*b, 4*s + 2*b + 6 = -s. What is the least common multiple of (-1)/((-2 + s)/22) and 1?
11
Suppose 0*t - t = -4. What is the smallest common multiple of 16 and t?
16
Suppose -2*m = -201 - 19. Let y = 0 - -1. Calculate the common denominator of -83/8 and (-205)/m + y + 1.
88
Let a(h) = -2*h**2 - 4*h - 2. Let o be a(-2). Calculate the least common multiple of o/((-2)/10 - 0) and 22.
110
Let b = 2/26263 - 13000201/210104. Let d = b - -107/8. What is the common denominator of d and -107/18?
18
Let s = 2 + 7. Suppose -3*r + 70 = 4*i, 11 = 5*i - s. Let d = 10 - 4. What is the smallest common multiple of d and r?
18
Let x = 14 - 14. Let q be 1 + -1 + -2 + 1. Let u = x - q. What is the lowest common multiple of 5 and u?
5
Let q = -938 + 15107/16. What is the common denominator of 145/12 and q?
48
Let u(t) = -t**3 + 2*t**2 + 2*t + 5. What is the lowest common multiple of 4 and u(3)?
4
Let u be (413/(-15))/(5554/35988). Let r = u + 18/2777. Let n = r + 7441/40. Find the common denominator of -109/10 and n.
40
Let n be (20/(-30))/(2/48). What is the common denominator of (-102)/n*60/18 and 113/10?
20
Let d = 2/517 + 21193/1034. Find the common denominator of d and 79/20.
20
Let s = 9 - 7. Suppose -5 = -j, 5*h + s*j - 55 = -5. Calculate the lowest common multiple of 12 and h.
24
Let x(g) = g**2 - 3*g + 4. Let l be x