 of 34/21 and (-35)/(-504)*(-429)/(-3344).
51072
Let f = 159 - 65. Let d = f - 52. What is the common denominator of 73/9 and d/(-77)*(-42)/9?
99
Let s(o) be the third derivative of o**5/30 + 7*o**4/12 - o**3/3 - 17*o**2. Let u be s(-7). What is the lowest common multiple of 4 and 120/(2 + 3) + u?
44
Suppose 5*p + n = 19778, 6*p - n - 11862 = 3*p. Let d = p - 2151. Let f = 17953/10 - d. What is the common denominator of 83/12 and f?
60
Let k = 5 + -38. Let t = k + 34. Find the common denominator of (-2 - t)/((-760)/361) and 69/16.
80
Let w = 73409/123366 + 63/709. Let p = -3/12739 + 1770811/382170. Calculate the common denominator of p and w.
870
Calculate the least common multiple of 4/(-14) - (-86)/7 and 96/(-33)*1507/(-274).
48
Let r(q) = 19*q**2 - 93*q - 12. Let s be r(5). Calculate the common denominator of 23/72 and 2*1 + s + (-285)/(-1080).
72
Let o = -10833 + 5275666/487. Let s = o + -63677/11688. Calculate the common denominator of (82/(-44))/(25/10 + -1) and s.
264
Let i = 6673/4642 + -6/211. Let x = -431 - 3268. Let r = 66559/18 + x. What is the common denominator of r and i?
198
Let m(h) = -h**3 + 9*h**2 + 6*h - 2. Let g be m(9). Let j = g + -41. Calculate the lowest common multiple of 30 and j.
330
Let d = -2621 - -2646. What is the least common multiple of 725 and d?
725
Suppose 4*z = 5*s - 7522, -4*z + 4904 = s + 12414. Let k be z/4*32/(-24). Find the common denominator of k/(-240) - (-6)/15 and 71/3.
24
Calculate the common denominator of -73/10 and (-5900)/432 - (-12 + 12 - 13).
540
Suppose 3*j = -8*p + 73, -5*p - 329 = -5*j - 299. Let z = -5 - -25. Calculate the smallest common multiple of p and z.
20
Calculate the common denominator of -56/15 and ((-48)/(-21))/(-4) - (-582)/(-4788).
570
What is the common denominator of -39/92 and 2/((-16)/(-6)) + -406*5/960?
2208
Let q = -8871443/8 + 1115988. Let o = q + -7068. Calculate the common denominator of 23/14 and o.
56
Suppose 4*s + 3*d = 3*s + 6, 0 = 2*d + 4. Suppose 0 = -11*k + 17*k - s. Suppose 6*v - 1120 = -k*v. What is the lowest common multiple of v and 16?
560
Let b(q) = 3*q + 10. Let v be b(-8). Let n be (v/(-6))/(15/135). Suppose -10*u + n = -9*u. Calculate the least common multiple of u and 2.
42
Let k(c) = -c**2 - 8*c - 6. Let o(l) = -357*l - 12*l**2 + 336*l + 38 + 13*l**2. Calculate the lowest common multiple of k(-6) and o(20).
18
Calculate the common denominator of -45*(-16)/(-1200) - (191/(-110) + 1) and -83/10.
110
Suppose 25*w = 21*w - 20. Let d(o) = 86*o - 16. Let c be d(w). Let i = c - -869/2. Calculate the common denominator of 67/20 and i.
20
Let s = -543 + 544. Find the common denominator of 83/2 and 39/(-5) - s - (-5)/1.
10
Suppose -q + 9*q = 8. Calculate the least common multiple of 39 and 1 - (-76 - q) - 6.
936
Suppose 28*c = 78*c - 464 - 886. Calculate the smallest common multiple of c and 543.
4887
Suppose w + b = -11, -b - 17 = -18. Calculate the smallest common multiple of 3 - (w/(-7) + (-6)/(-21)) and 87.
87
Suppose -4*y + 70 = 14. Suppose 4*n - 300 = -11*n. Suppose z + 5*f = n, 5*z - 10*f - 100 = -13*f. Calculate the lowest common multiple of z and y.
140
Calculate the least common multiple of 60 and (408/221)/12 - (0 + (-5064)/39).
780
Let m be 10/(-25) + 108/20. Suppose -12*f + 170 = m*f. Calculate the least common multiple of f and 4.
20
Suppose 0*p + 16 = 2*p. Suppose 2*w - 104 = -3*o, o - 20 = -w + 16. Suppose -142 = -o*d - 14. Calculate the smallest common multiple of p and d.
8
Let p = 50621/3 - 236209/14. What is the common denominator of (-2)/(-6) + 126/(-40) and p?
420
Suppose -3*y - 8*m + 12*m = -466, 2*y - 2*m = 310. What is the lowest common multiple of y and 517?
7238
Let j = 3638 + -152837/42. What is the common denominator of 45/28 and j?
84
Let k(h) = -5*h + 177. Let m(l) = -2. Let r(q) = k(q) - m(q). Calculate the lowest common multiple of r(35) and 52.
52
Let w = 131/21 - 499/42. Calculate the common denominator of w and 0 - ((-131)/22 + 1).
154
Suppose 40*y - 50*y + 790 = 0. Find the common denominator of 115/24 and y/12*3/((-27)/(-6)).
72
Suppose 5*n - 12 - 353 = 0. Let u = n - 70. Suppose 4*p - 33 = -5*q, 4*q = -2*p + 3*q + 9. Calculate the smallest common multiple of p and u.
6
Let h(k) = 5*k**2 - 4*k + 9. Let l = -161 - -226. Suppose -l = -3*i - t, 31 = i - 3*t + 8*t. Calculate the lowest common multiple of i and h(2).
21
Let k = 189/29 + -10673/1740. Let m = -26587/18 + 1478. Find the common denominator of m and k.
180
Let u(t) = 0*t**3 + 8 + 1511*t**2 - 1526*t**2 - t**3 + 0*t**3. Suppose w - 14 = -2. What is the smallest common multiple of w and u(-15)?
24
What is the common denominator of (1/5)/((-4)/(-295)) and 670/(-4)*1/(-10)*(-12)/(-102)?
68
Let h(g) = -g**2 + 16*g + 4. Let j be h(13). Suppose -54 = -f - j. Suppose 0 = o - 17 - 4. Calculate the lowest common multiple of o and f.
231
Let a(x) be the third derivative of x**6/120 + x**5/30 - 5*x**4/24 + 23*x**3/3 - x**2 + 7*x. What is the least common multiple of 1 and a(0)?
46
Let g(u) = 337*u**2 - 103*u + 78. What is the lowest common multiple of g(4) and 20?
50580
What is the lowest common multiple of 11 and -5*36/(-135)*(220 - 1)?
3212
Let z be 0 + -1 + 9/3. Suppose -5*f - z*g - 12 = 0, -f = -0*f - 2*g. What is the lowest common multiple of 1 and f - (2 - (-28)/(-2))?
10
Suppose -43*m - 81*m + 12972 = -32*m. Calculate the smallest common multiple of 669 and m.
31443
Suppose 100 = 199*j - 194*j - 2*d, -5*j - 3*d + 100 = 0. Let z(q) = -40*q**3 - 4*q**2 - q + 1. Calculate the least common multiple of z(-1) and j.
380
Suppose -4*z - 4*c = -7 - 5, -5*c + 3 = z. Suppose 2*r = -3*o - 150, r + 304 = -z*r - 5*o. What is the least common multiple of 8 and 4/(-18) - (-9)/(r/(-20))?
8
Let c(l) = 5*l**3 + 19*l**2 + 73*l - 31. Let k be c(-18). Let p = 12296940941/42 - 292808659. Let w = k - p. What is the common denominator of 61/10 and w?
210
Suppose -3601 = -4*q - 5*n, -42*q + 46*q = 5*n + 3591. Calculate the smallest common multiple of 87 and q.
2697
What is the common denominator of -101/1314 and ((-15)/(-2628))/((-970)/(-7469))?
5256
What is the common denominator of (0 - 12/66) + (-5593)/(-693) and (3 + (-45)/57)/(-2)?
171
Let a = -43/400 + -2/25. Calculate the common denominator of -17/226 and a.
1808
Let s(p) be the first derivative of -p**4/4 - 16*p**3/3 + 18*p**2 + 18*p + 33. Calculate the least common multiple of s(-18) and 6.
18
What is the common denominator of 17/1860 and (-11984)/1260 + (1 - -89)/9?
5580
Let t(f) = 6*f**3 - f**2 + 13*f - 22. Calculate the lowest common multiple of 102 and t(3).
510
Let d(w) = -w**2 - 19*w + 6. Let k be (-4 + 38)*(-2)/4. Let m be d(k). Suppose -9*p = -p - m. What is the smallest common multiple of 39 and p?
195
Let p(m) = -141*m + 8. What is the least common multiple of 1054 and p(0)?
4216
Let v(m) = -5*m**2 + 4 - 21 + 3*m**3 + 2 + 8*m + m**3 - 2*m**3. Calculate the least common multiple of 9 and v(3).
18
Calculate the common denominator of (20/10140)/(-3 - -3 - -1) and -33/2.
1014
Let m = -65 + 97. Suppose -m = -3*q - 0*q - 5*p, -2*q = 5*p - 23. What is the smallest common multiple of q and 18?
18
Let n be 13*65/4*5. Let p = 240281/228 - n. Let k = 808/171 - p. Calculate the common denominator of -77/8 and k.
72
Suppose -14183 = -26*w + 6616 + 7437. What is the lowest common multiple of w and 10?
5430
Let v be (1 + 20/(-14))*(1 - 8). Suppose 9*n = 5*n - 4*r, v*n - 4*r + 21 = 0. What is the smallest common multiple of 162*1 + (-12)/(-9)*n and 12?
948
Let g = 62 - 56. Suppose -g*y = -0*y + 1482. Calculate the least common multiple of 416/19 + (-26)/y and 10.
110
Let l(j) = -10*j - 58. Let d be (406/28)/((-1)/2). Let m = d + 22. What is the lowest common multiple of 10 and l(m)?
60
Let c be 18140/(-118)*(-1)/(-24). Let l = -29398 + 3468943/118. Let m = l + c. Find the common denominator of -16/3 and m.
12
Let d = 20075 + -7769099/387. Find the common denominator of -28/387 and d.
387
Let n = -42928610 + 20605764271/480. Let w = n - 968/15. What is the common denominator of w and 17/4?
32
Let j(l) = -l**3 + 17*l**2 + 21*l - 34. Let m = 192 + -174. What is the least common multiple of j(m) and 4?
20
Let p be 15869968/22176 - 3/(-7). Let t = 7936/11 - p. Find the common denominator of 45/52 and t.
468
Suppose -33*k + 36 = -27*k. Suppos