517285834403/46563485580 + i. Let c = j - -7/270. What is the common denominator of -145/18 and c?
36
Let u = 2 - 4. Find the common denominator of ((-15)/9 - u)*-7 and -55/2.
6
Let t(p) = -2*p**2 - 4*p + 36. What is the smallest common multiple of t(0) and 18?
36
Let d be 1/4 + (-10274)/(-1480). Let n = 4/37 + d. Calculate the common denominator of n and ((-755)/(-45))/(2/(-3)).
30
Suppose 4*m + 3*b + 9 = m, 4*m - 5*b + 12 = 0. Let f(y) = -y**2 - 2*y + 4. Let g be f(m). What is the common denominator of (0 - (-165)/(-24))/g and -30/7?
56
Let b(x) = x**3 + 8*x**2 - 2*x - 12. Let h be b(-8). Suppose -h + 22 = 2*m. Calculate the smallest common multiple of 5 and m.
45
Calculate the common denominator of (-522)/20*2/(-12) and (6/21)/((-8)/134).
140
Let z(u) be the third derivative of u**6/120 + u**5/60 - u**4/12 + u**3/6 + u**2. What is the least common multiple of 4 and z(1)?
4
Suppose -19*n + 18 = -16*n. What is the smallest common multiple of n and 11?
66
Find the common denominator of ((84/(-18))/7)/((-4)/(-34)) and 39/11.
33
Find the common denominator of 1 + 109/18 + 0 + -1 and (2/4 - 0)/4.
72
Let g be ((-2)/(-4))/(11/(-638)). Find the common denominator of g/3*(-6)/(-9) and (-1 - 71/(-33))*3.
99
Suppose 2*v - 5*v + w = 3395799631, -5*w + 3395799635 = -3*v. Let a = -9603321342725/8484 - v. Let n = a + -1/1212. Find the common denominator of n and 2/5.
35
Suppose 0*l + 3 = l + 2*y, 3*y + 3 = l. Let x(t) = -2*t**3 - t**2 - t - 3. What is the least common multiple of l and x(-2)?
33
Let x = 5681478526588675/70326 - 80787738915. Let w = 6/3907 - x. Calculate the common denominator of w and 69/2.
18
Calculate the common denominator of -35/4 and (4/(-8 - 0))/((-7)/46).
28
Let f = -4 + 2. Calculate the least common multiple of f*(-9)/6 + 6 and 4.
36
Let y(w) = -w**3 - 3*w**2 + 2*w - 5. Let r(v) = 2*v + 12. Let l be r(-8). Let k be y(l). What is the smallest common multiple of (5 - k)*18/4 and 10?
90
Let t = -41/8 + 55/8. Find the common denominator of t and 753/(-180) - (-2)/(-3).
20
Suppose 2*v - 140 - 56 = 0. Suppose 4*b - v + 10 = 0. Calculate the least common multiple of 4*(-4)/(6/(-6)) and b.
176
Let x(u) = u**2 - 13*u - 10. Let h(i) = -2*i**2 + i. Let c be h(2). Let w(a) = a**3 + 6*a**2 + 4. Calculate the smallest common multiple of w(c) and x(14).
4
Let d = -2/15357 + 244011/40952. Calculate the common denominator of -83/2 and d.
24
Suppose -4*b + 18 = -3*b. Suppose -5 = 3*a - 23. Calculate the least common multiple of b and a.
18
Suppose 0 = -6*i + i + 75. Suppose 5*x - i + 0 = 0. Calculate the least common multiple of 14 and 18 + (0/(-1))/x.
126
What is the smallest common multiple of 7 and 44/(-33)*((-6)/4 - 0)?
14
Let v = 8 - 21. Let q = v - -4. What is the common denominator of 83/8 and 2/q + (-182)/(-36)?
24
Suppose 0 = 3*x + a - 2, 0*x - 5*a = 2*x + 16. What is the common denominator of (182/(-36) - -1) + x and 95/6?
18
Let b be ((-8)/(-16))/((-1)/(-66)). Find the common denominator of -25/12 and (0 + 9)*b/(-126).
84
Suppose -17*z + 115 = -191. Calculate the lowest common multiple of 36 and z.
36
Let d(y) = -y**3 + 8*y**2 + 1. What is the lowest common multiple of 9 and d(8)?
9
Let u be -1 - -6*22/(-4). Let m = u + 19. Let g = -10 - m. Calculate the least common multiple of g and 11.
55
Let w(g) = g**2 - 3. Let f be w(3). Suppose -2 + f = 4*v. Suppose -m = -v, 9 = 4*t + 3*m - 18. Calculate the smallest common multiple of 1 and t.
6
Let c = -15127/3366 + 166/153. Let j be (-5972)/(-65)*3/(-45). Let g = 1/7800 + j. Find the common denominator of g and c.
88
Find the common denominator of 63/8 and (-3)/(2 - 70/(-65)).
40
Let d = 96 - 60. Calculate the smallest common multiple of 16 and d.
144
Suppose c - 14 = -2. Let a(n) be the first derivative of n**3/3 + n**2/2 + 2. Calculate the least common multiple of c and a(-2).
12
Let r = 3992/21 - 545/3. What is the common denominator of r and -1/8?
56
Suppose -42*p + 87 = -39*p. Calculate the smallest common multiple of p and 9.
261
Suppose 100 = 4*p + 3*f, 4*p - 2*f - 45 = 35. Calculate the lowest common multiple of p and 6.
66
Suppose 8*h + 2 = 106. Calculate the smallest common multiple of 4 and h.
52
Let i be 1241 - ((1 - 2) + 0). Let x = 7435/6 - i. Calculate the common denominator of x and -43.
6
Suppose -5*q + 3*x = -2*q - 18, 4*q = -5*x - 3. Suppose n = -q*z + 69, -3*n - 2*n - 7 = -z. Calculate the smallest common multiple of 4 and z.
44
Let y be 8/10 + (-149359)/(-100320). Let m = y + 29/96. What is the common denominator of m and 49/16?
176
Suppose -9*v + 221 + 67 = 0. Calculate the lowest common multiple of 40 and v.
160
Let v(y) = y**2 - 5*y + 3. Let b(u) = 6*u**3 - u**2 + u. Let l be b(1). Calculate the least common multiple of v(l) and 1.
9
Let o = 21 - 15. Suppose -24 = -6*n + 3*n. Calculate the smallest common multiple of o and n.
24
Suppose 0 = -2*w + 6*w - 40. Calculate the smallest common multiple of w and 14.
70
Let i = 35/12 - -91/12. Find the common denominator of i and -13/22.
22
Let h = -20 - -40. Find the common denominator of (h/44)/5*2 and 57/4.
44
Let z = 32603/8 + -4068. Calculate the common denominator of 58/3 and z.
24
Let p(b) = -b**2 + 4*b - 1. Let r be p(3). Let o(k) = -6 + r + 2 - k. What is the least common multiple of 1 and o(-5)?
3
Let m(v) be the first derivative of -3*v + 2 - 1/2*v**2. What is the lowest common multiple of 10 and m(-5)?
10
Let w = -1071/8 - -35467/264. Find the common denominator of 59/2 and w.
66
Let d = 5099/66 - 980/11. Calculate the common denominator of d and -145/6.
6
Let i = -5387/880 - -17/55. What is the common denominator of i and 85/4?
16
Let z(d) = -d**3 + 5*d**2 + 7*d - 2. Let u be -4*(3/6 - 2). Suppose 4*i - 34 = 30. What is the lowest common multiple of z(u) and i?
16
Suppose 4*s - 3*s = 2864. Suppose 0*t + 3*x = -t + 958, 0 = 3*t + 4*x - s. Let g = t + -7581/8. Calculate the common denominator of g and -101/2.
8
Suppose 1741 + 761 = -3*z. Find the common denominator of -3/22 and (1/12)/(6/z).
132
Let n = 58321/8 - 7280. Calculate the common denominator of n and -103/6.
24
Suppose 0 = 3*h - 11 + 2. Suppose -3*u + 49 = 4*n, 21 = h*n - 2*u - 20. Suppose 0 = -2*t - n + 29. Calculate the least common multiple of t and 6.
24
Let p = -6190 - -55655/9. Find the common denominator of p and 38/3.
9
Let d = -1/22 + 229/198. Calculate the common denominator of 24 - ((-3)/4 + 1) and d.
36
Let n(s) = 4*s**2 - s - 3. What is the smallest common multiple of 3 and n(2)?
33
Let u = -5 + 15. What is the common denominator of (u/2)/((-88)/(-72)) and (-5)/2*1/5?
22
Let d(z) = -4*z + 9. Let k be d(-7). Suppose -k - 5 = -3*t. What is the least common multiple of t and 6?
42
Let o = 163/2 - 129. Calculate the common denominator of -87/44 and o.
44
Let p = -15 + 7. Calculate the common denominator of (242/15)/(p/6) and 38.
10
Let a be 10/8 - (-6)/(-24). Let q be a/(30/9 - 3). Calculate the common denominator of 1/q + (-47)/(-9) and 32/9.
9
Let a = 86/99 + 54/11. What is the common denominator of 101/12 and a?
36
Let c(n) = 16*n**2 + 2*n - 1. Let d be c(1). Suppose -d - 18 = -5*w. Calculate the lowest common multiple of 7 and w.
7
Let q = 1197 - -1336. Let t = q - 45565/18. Calculate the common denominator of 65/16 and t.
144
Let a be (-1)/(-2) + (-364)/8. Let l = a - -111/2. What is the common denominator of l and 93/4?
4
Suppose -4*f = -f + 5*t + 76, 3*f - 5*t = -116. What is the common denominator of -87/8 and ((-12)/f)/((-10)/12)?
40
Let j(n) = 2*n - 26. What is the smallest common multiple of 20 and j(17)?
40
Let q = -2489 + 7096. Let y = -46111/10 + q. Find the common denominator of -97/2 and y.
10
Suppose -4*i - 3*y = 30, 1 = -i + y - 3. Let r = 2 - i. What is the smallest common multiple of 3 and r?
24
Let t be 2/(-4) - 35/(-10). What is the lowest common multiple of (1 - (-3 - -1)) + t and 8?
24
Let g be (303/(-54))/((-4)/(-3)). Let a = g - -10/3. Calculate the common denominator of (-2)/12*(36 + -2) and a.
24
Suppose 155 = 4*j - 109. Calculate the common denominator of -57/16 and -3 + (-1 - (-21)/j).
176
Suppose 0 = -4*p + t + 86, 0 = -4*p - p - t + 112. What is the smallest common multiple of p and (10/(-3))/(4/(-12))?
110
Let f = -28687/9 + 3192. What is the common denominator of 44/9 and f?
9
Suppose 5*g = -4*f + 38, -5*g + 64 -