et r(i) = 2*i**2 + 12*i + 6. Let k be r(-6). Calculate the lowest common multiple of (-6 - -3)/(k/(-4)) and 12.
12
Let a(u) = -11*u + 369. Let i = -18 - -32. What is the lowest common multiple of a(33) and i?
42
Let a = 14975/9 - 1670. Let t(q) = -25*q**3 - q**2 + 5*q - 7. Let v be t(-3). Find the common denominator of a and ((-1)/(-9))/(14/v).
9
Let w = 527 - 350. Suppose -n - w = 2*n. What is the common denominator of 4 + -1 - n/4 and 125/18?
36
Suppose 8*a + 2*a = 150. Let u = 2377 - 21371/9. Calculate the common denominator of u and 2 - ((-40)/a - 3).
9
Let c = -9/4 + 7/4. Calculate the common denominator of c and (-4)/(-10) - ((-131)/165)/(62/93).
22
Let u = -9410814545/937712 - 280/58607. Suppose 2*z + 3*g + 20052 = 0, -7*g - 4 = -8*g. Let y = u - z. Calculate the common denominator of y and 115/6.
48
Let p = -38 - -42. Suppose -3*b = 3*s - 6*s + 15, -s - 5*b = -29. Calculate the least common multiple of p and s.
36
Suppose -31*g = -476 + 104. Calculate the least common multiple of 68 and g.
204
Let n = -2997 + 29913/10. What is the common denominator of n and 59/5?
10
Suppose 2*u - 27 + 1 = 0. What is the lowest common multiple of 6 and u - 2 - 3 - 2?
6
Let o(b) = -b**3 + 4*b + 3. Suppose -17*m + 8 = -19*m. Calculate the least common multiple of o(-3) and -4 - (m + -23 - -1).
198
Let s(g) be the first derivative of -g**4/4 + 5*g**3/3 + g**2 - 6*g - 12. Let h = 59 + -39. Calculate the lowest common multiple of s(4) and h.
180
Let p(l) be the first derivative of -l**3/3 - 2*l**2 + 2*l - 13. Calculate the lowest common multiple of p(-4) and 22.
22
Let h = -62 + 34. Let o = h + 30. Suppose -2*s - s = -3*j + 57, 3*s = -5*j + 71. Calculate the least common multiple of j and o.
16
Find the common denominator of 113/24 and (((-48)/27)/8)/(304/552).
456
Let w be 55/6880*-250 - -2. Let v = w - 24793/17200. Find the common denominator of -51/5 and v.
25
What is the common denominator of 91/15 and (-28)/(-14) - (1 - 72/(-25))?
75
Let s be (-1 - -4) + (1 - 1). Suppose 0*w - 33 = -s*w. Let n(b) = b**2 + 2*b + 3. Calculate the least common multiple of w and n(-3).
66
Calculate the common denominator of ((-338)/(-195))/(40/15) and -2 - -4 - 113/14.
140
Suppose -251 = -3*y - c, -26*y + 73 = -25*y + 3*c. What is the least common multiple of y and 40?
680
Suppose -13*d - 13 = -0*d. What is the common denominator of ((-41)/(-492))/(d/(120 - 1)) and -115/12?
12
Let c = -37/2507 - 421463/150420. What is the common denominator of c and -7/66?
660
Let f = -13 + 43. Calculate the common denominator of 23/4 and 58/f - (2 - 4).
60
Suppose 0 = -4*i - 4 - 4, 0 = -s + i + 13. Suppose d + 0*d = s. Let y(h) = h**3 - 3*h**2 - 4*h + 4. Calculate the least common multiple of y(4) and d.
44
What is the lowest common multiple of 36 and 2 + 297/8 - (-11)/(-88)?
468
Suppose 162 = -4*d - 54. Let t = 56 + d. What is the lowest common multiple of t and 97?
194
Let f be 39/2*(-24725)/(-60). Let z = f - 8046. Calculate the common denominator of z and 2/72*(-6 + 8).
72
Let f(c) = c**2 + 20*c + 66. Calculate the smallest common multiple of f(-4) and 120.
120
Suppose 267 = 12*d - 405. Find the common denominator of 73/6 and (1/(-5))/(d/(-1780)).
42
Let v(y) = -2*y - 9. Let w be v(-4). What is the least common multiple of w/(50/(-12) - -4) and 18?
18
Let l = 145592/7 - 20908. Let s = 808/7 + l. What is the common denominator of s and -79/8?
56
Let a = 37 + -33. Suppose 23 + 25 = a*s. What is the least common multiple of 18 and s?
36
Suppose h + 3*h - 20 = 0. Suppose -132 = -s - h*s. Calculate the lowest common multiple of s and 10.
110
Let s = 7423/4 + -1834. Let d = -4 - -11. What is the common denominator of s and (d/12)/((-3)/9)?
4
Let t = 64 + -62. Suppose 0 = -z, -4*z - 70 = -5*x - t*z. Calculate the smallest common multiple of x and 4.
28
Suppose 2*n + 7 - 27 = 0. Let d(z) be the second derivative of z**4/12 + z**3/2 - 2*z. What is the smallest common multiple of d(-5) and n?
10
Let z = 3 + -2. Let q be 0 + (-15)/(-3) - 1. Suppose -s + q = s. Calculate the least common multiple of s and z.
2
Suppose -213 = -2*y + u, 198 = 2*y + u + u. What is the common denominator of (20/6)/(y/(-84)) and 0 + (216/(-22))/(-2)?
143
Let l = -557124/36715 - -531/35. Let d = 61981/31470 + l. Find the common denominator of 113/12 and d.
60
Let a = -40 - -96. Calculate the lowest common multiple of (-6)/4*a/(-6) and 58.
406
Let g = -12310 - -517099/42. What is the common denominator of g and 19/42?
42
Suppose 3*d = 7*d + 3*c - 257, -93 = -d + 5*c. Calculate the lowest common multiple of 136 and d.
136
Suppose 0 = -l - 4*p + 3509, -2*l + 4*p + 2262 + 4768 = 0. Let c = 38618/11 - l. Calculate the common denominator of c and 399/(-140) - -1*(-1)/(-4).
55
Let j be -5 + 2/(-2) + 0 + 0. Let f(u) = 2*u + 20. What is the smallest common multiple of f(j) and 14?
56
Let n = 7297/88 + -1040/11. Calculate the common denominator of ((-19)/(-12))/(4/6) and n.
8
Suppose 5*g = 26 + 49. Suppose 3*m + 4*q = 5*m - 8, 3*m - 4*q - 18 = 0. Calculate the smallest common multiple of m and ((-8)/(-5))/(6/g).
20
Suppose k + 4*v - 172 = 0, 5*k - 200*v = -196*v + 836. Calculate the lowest common multiple of 192 and k.
1344
Calculate the common denominator of -43/10 and 27/(-2)*26/1235.
190
Suppose -19 = -4*p + 1. Suppose 5*b - d = -130, -b - p*d + 6 = 58. What is the common denominator of ((-214)/(-60))/(4/(-12)) and b?
10
Let d = -54/517 + 49979/8272. Calculate the common denominator of -15/52 and d.
208
Suppose -29 - 27 = 4*f. Find the common denominator of (f/175)/(8/(-790)) and -137/12.
60
Let z = -46145/18 - -7703/3. Find the common denominator of 4 + -3 - (-11)/18 and z.
18
Let f = 180 + -177. Suppose -4*h + 18 = -5*r, 5*r - 15 - 16 = -3*h. What is the least common multiple of h and f?
21
Calculate the smallest common multiple of ((-1)/(-2))/((-2)/(-36)) and (3*(-1)/6)/((-4)/72).
9
Let w(n) = -n**3 + n + 35. Let b be w(0). Suppose -p - b = -8*p. What is the least common multiple of p and 4?
20
Let z = 241/104 + -170/39. Find the common denominator of z and 85/112.
336
Let f = 82/177 + -21457/23010. Find the common denominator of f and -93/130.
130
Suppose -3*z = -62 - 55. What is the smallest common multiple of 104 and z?
312
What is the common denominator of -49/4 and (-5)/(-75) - 5915/(-150)?
4
Suppose 5*b + 81 = o - 0*b, 0 = 4*b - 4. What is the smallest common multiple of o and 22?
946
Suppose 4*r = 43 + 37. Suppose 2*a + 10 = 3*a. What is the smallest common multiple of a and r?
20
Calculate the common denominator of (18 + -22 + (-47)/(-8))*12/(-9) and (-4)/(-6) - (-89)/(-12).
4
Suppose -n - s = 25053, -n - 3*s + 125241 = -6*n. Let f = n + 551207/22. Let k = -51709/7512 + 8/939. What is the common denominator of k and f?
88
Let p be -24*9/((-108)/8). Let q be ((-54)/(-12))/(3/p). Calculate the least common multiple of 16 and (9 - 13) + (q - 0).
80
Suppose -8 = 2*a + 2*i, -2*i + 6*i = 2*a - 10. Calculate the common denominator of -51/5 and (a/6)/(4/(-182)).
60
Suppose 0 = -q + 10 + 34. Suppose w + 5*v - q = 0, -2*w - 24 + 84 = 3*v. Calculate the lowest common multiple of 20 and w.
120
Let a = -232 - -248. What is the least common multiple of 72 and a?
144
Let b(z) = -z**2 - 4*z + 30. Let h(q) = -q**3 - 5*q**2 + 6*q. Let t be h(-6). What is the least common multiple of 30 and b(t)?
30
Let s(o) = -o**2 - 11*o - 6. Let c be s(-12). Let f = c + 24. Calculate the smallest common multiple of f and 2.
6
Let m = -24728 + 741761/30. Find the common denominator of m and -61/6.
30
Find the common denominator of 20/8*(-124)/360 and 81/208.
1872
Let c = -3/62834 + -2230343/5529392. What is the common denominator of 145/84 and c?
3696
Suppose -6*z + 3*z - 39417 = 0. Let f = 262721/20 + z. What is the common denominator of f and (10/(-20))/(6/38)?
60
Let n(y) = 10*y - 5 - 4*y + 0 - 5*y**2 + 0 + y**3. Let t be n(4). What is the smallest common multiple of 8 and t - ((1 - 9) + 3)?
8
Let u = -30 + 32. Find the common denominator of -87/14 and (-2)/40*62 - u.
70
Let q = -10 - -17. Suppose 5*d = 13 + q. Calculate the least common multiple of d and 18.
36
Suppose -29 + 8 = -3*k. Let v = -936 - -942. What is the least common multiple of k and v?
42
Let s = 6 - -10. Let j = s - 10. Let v = 0 + 8. Calculate the lowest common multiple of