Let d = -244/37 - -285103/43216. Calculate the common denominator of 75/1022 and d.
8176
Let j be 2/(-10) - 543934/(-120). Suppose 79*g = 70*g - 40770. Let h = j + g. Calculate the common denominator of h and -71/15.
60
Let d be ((-162344)/28940)/(-7) + 8/(-10). Let r = d + -33297/11576. Calculate the common denominator of r and -11/6.
24
Let t = 381 - 397. Find the common denominator of -22/3 and (1 + (-70)/50)/(t/(-5)).
24
Let q(k) = 5*k**2 + 30*k. Let r be q(-6). Suppose -2*m - 49 = 5*c, -4*c = -r*m + m + 32. Find the common denominator of m/176*(-58)/6 and -39/20.
220
Suppose 0 = 31*g - 72*g + 6273. Calculate the lowest common multiple of g and 216.
3672
Suppose 9 = w + 2*w. Suppose -2*z + 3*q + 48 = 0, 1310 = -4*z + 4*q + 1418. What is the smallest common multiple of z and w?
33
Let u be (-3)/12*6*-2. Suppose -d = -2, 0*f - 16 = -u*f + d. What is the least common multiple of 360 and f?
360
What is the common denominator of -83/294 and 80/(-960)*(-1 - 375/51)?
4998
Let s(y) = y**3 + 5*y**2 - 8. Let n = 48 - 45. Suppose -n*z - 8 = -4*c, -4*z - 3*c - 33 + 14 = 0. Calculate the least common multiple of s(z) and 8.
8
Let j = 29 + -26. Suppose 0 = -2*d - 5*a - 8, 3*d + j*a + 12 = d. Let m(s) = s**2 + 7*s - 2. What is the smallest common multiple of 6 and m(d)?
48
What is the lowest common multiple of 33 and (-31153)/(-10) - 87/290 - 10?
34155
Let p(n) = 2*n**3 - 5*n**2 + 6*n + 3. Let j be p(-5). What is the common denominator of (-2)/(-8) + j/(-8) and 18*(-18)/216*18?
2
Let n(t) = t**3 - 8*t**2 + 14*t - 40. What is the smallest common multiple of 80 and n(10)?
1200
Let t be 12856/40*12/3. Let g = t + -25599/20. Let m = 43/44 + -310/33. Calculate the common denominator of g and m.
60
Let x = 5394 + -5295. Calculate the smallest common multiple of 6 and x.
198
Let u = -37 - -35. Let f = -29 + 33. Calculate the smallest common multiple of 21/2 - (u + 5/2) and f.
20
Suppose -20 = 2*f + 2*z, -f + 0*z = -2*z + 1. Let x be (-11932)/(-35245) + 2/f. Let g = x - -30279/3710. Find the common denominator of g and -121/6.
42
Suppose 0 = -23*z + 3876 + 19147. Calculate the lowest common multiple of z and 286.
2002
Suppose -7*g = -10*g - 3. Let v(w) = -32*w**3 - w. What is the smallest common multiple of 120 and v(g)?
1320
Suppose -2*t = 3*l + 20, -6*l + 4*l - 24 = 4*t. Let h(o) = -o + 17. What is the least common multiple of ((-2)/l)/(7/252) and h(7)?
90
What is the common denominator of 11808/(-22755) + 1*1/2 and -79/444?
2220
Let t be (-90)/(-42) - 2 - (-4930799)/252. Let h = -47144 - -66709. Let k = h - t. Calculate the common denominator of -113/6 and k.
36
What is the smallest common multiple of 1161 and (13/2 - 3)/(0 + (-7)/(-378))?
8127
Suppose 6 = -t + 36. What is the lowest common multiple of (40 - -8)*387/258 and t?
360
Let t(v) = -v**2 - 9*v - 4. Let o(l) = l**3 + l**2 - 28*l + 18. Calculate the least common multiple of t(-4) and o(-6).
48
Suppose 0*q = u + 2*q - 37, -5*q = 4*u - 151. What is the smallest common multiple of (5 + u/(-6))*-108 and 22?
1782
Let c(b) = 2*b**2 + b + 45. Let r be c(0). Let l = -28 - -69. Let v = r - l. What is the least common multiple of 6 and v?
12
Let z = 2/1990919 + 461892482/722703597. Let v = z - 26/121. Find the common denominator of -97/12 and v.
132
Let l = 7/1338 + -1906/2007. Calculate the common denominator of l and -35/19276.
173484
Let t = 72 - 70. Let l(d) = d**2 - d - 2. Let g be l(-2). Suppose g*i = 47 + 33. Calculate the least common multiple of i and t.
20
Let x(f) = f**2 + 10*f + 36. Suppose -4*j + 8 = -2*j. Suppose 43 = j*l + 5*c - 84, -4*c - 37 = -l. What is the smallest common multiple of l and x(-3)?
165
Let o(q) = -2*q**2 - 58*q - 407. What is the smallest common multiple of o(-14) and 585?
585
Let r(i) = -119*i**3 + 46*i**2 + 201*i + 9. What is the smallest common multiple of r(-4) and 24?
60456
Let y(d) = -4*d - 5. Let o be y(-5). Suppose -5*i = o, 7*i - 11*i = -2*f + 20. Calculate the common denominator of 25/2 and 1/f - (-9 + (-12492)/(-1264)).
158
Suppose 68*x = 67*x + 2. Let u(k) = x*k**3 + 0*k**3 - k**3 - 62 - 22*k + 47*k - 23*k**2. Calculate the lowest common multiple of 44 and u(22).
44
Let c(i) = -i**2 - 14*i - 24. Let q = -66 + 56. Calculate the smallest common multiple of ((-6)/15)/(1/(-85)) and c(q).
272
Let v(y) = y**3 + 35*y**2 - 35*y + 52. Calculate the least common multiple of v(-36) and 392.
784
Let p(y) be the first derivative of 9*y**2 - 40*y - y**2 - 3*y**2 + 44 - 3*y**2. Calculate the least common multiple of p(12) and 24.
24
What is the common denominator of -3 + 14320/(-4256) + 24/4 and 101/4?
532
Let q = -20905850 + 501568817/24. Let d = 7148 + q. What is the common denominator of d and -95/8?
24
Suppose -31 = 9*l - 13. Let n(q) = 5*q**2 - 2*q - 2. Calculate the lowest common multiple of 46 and n(l).
506
Find the common denominator of ((-1)/(-10))/((-16)/(-290)) and 211/633*(-1)/36.
432
Let k = -19630 - -19651. What is the least common multiple of 6*1/((-2)/(-33)) and k?
693
Suppose -4*q - 28 = 0, 224*z + 8717 = 228*z + q. Calculate the smallest common multiple of 8 and z.
17448
Let v(n) = 79*n - 26. Let u be v(-3). Let t = u - -271. Calculate the lowest common multiple of 2 and t.
8
Let i = 5239 - 5230. What is the smallest common multiple of i and 1538?
13842
Let p(u) = 2*u**2 + 11*u - 19. Let f be p(-7). Calculate the common denominator of -71/80 and f/24 - (-705)/(-360).
80
Calculate the lowest common multiple of ((-38)/(-6) + -6)/((-2)/(-144)) and 75.
600
Let s(c) = 26*c**2 - 933*c + 79. Calculate the least common multiple of 51 and s(36).
561
Let l(v) = -24*v + 28. Let o(k) = 49*k - 55. Let u(j) = -13*l(j) - 6*o(j). Calculate the lowest common multiple of u(5) and 40.
280
Suppose x = 9*t - 8*t + 1, -2*x - 5*t = 26. Calculate the common denominator of ((-3)/33)/(2/2) and ((-7)/21 + x)*(-36)/(-10).
11
Let v = -16 + 39. Let s = -20 + v. Suppose 3*u - 13 = 4*y, -y = -s*u - 5*y + 5. Calculate the lowest common multiple of 3 and u.
3
Let o be -162*4*(-2)/24. Let s = 26 + o. Calculate the lowest common multiple of 35 and s.
560
Suppose -3*g = 3*z - 1470, 0 = 5*g + g - 5*z - 3006. Calculate the least common multiple of 868 and g.
3472
Calculate the lowest common multiple of 16 and 498 - (130/(-10) - -19).
1968
Let y(s) = -s**3 + 2*s**2 - 3*s - 2. Let a be y(2). Let h be 360/96 - 2/a. Suppose -6*i + h*i = -18. What is the lowest common multiple of i and 2?
18
Let i be (5 + 281/(-52))*7556. Let b = -3048 - i. What is the common denominator of -67/6 and b?
78
Let z = -534 - -531. Suppose -3*u = -k - 2*u + 8, 3*k - 2*u - 23 = 0. What is the lowest common multiple of z/(((-3)/(-6))/((-7)/14)) and k?
21
Let x(f) = 5*f**2 + 15*f - 50. Let z be x(3). Suppose 27*v + z = 28*v. Calculate the least common multiple of 168 and v.
840
Suppose -4*a = -0*a - 8, 4*d + 2*a = 16. Suppose -16*t = 3*x - 20*t - 109, d*t = -2*x + 67. Calculate the least common multiple of 25 and x.
175
Suppose 2*s - 27 = -s. Let g(b) = b**3 - 12*b**2 + 27*b - 22. Let q be g(10). Suppose 8*y = q + 240. Calculate the smallest common multiple of s and y.
36
Let v(f) = -26*f - 1159. What is the lowest common multiple of v(-67) and 371?
4081
Let p = -121 - -160. Let r = 433 - 346. Calculate the lowest common multiple of r and p.
1131
Suppose -3*i = -v - 3767, 3*i + 2*i = -4*v - 15051. Let q = -82829/22 - v. Find the common denominator of q and ((-15)/(-8) + -2)/((-4)/(-82)).
176
Calculate the common denominator of 468/(-112)*(-216)/162 and -67/348.
2436
What is the common denominator of 1/168 and (-606)/(-10)*(-805)/(-2898)?
168
Let s = -787718 + 1436797675/1824. Find the common denominator of -91/36 and s.
5472
Let n = -948/109 - -2455647/282310. Let q = -6088/1295 + n. What is the common denominator of q and 125/6?
30
Let z = -2129083/896 - -16638/7. Find the common denominator of z and -37/3640.
58240
Let l(p) = -3*p**2 + 5*p + 13. Let b be l(6). Let o = b - -65. Calculate the common denominator of 17/13 and (-4 - o) + 3*82/66.
143
Let q(n) = 46*n + 1250. Calculate the lowest common multiple of q(17) and 3.
6096
Suppose 3*t = 4*s + 4*t + 128, -2*s - 86 = -5*t. What is the common denominator of (-1740)/1566 + 2380/1656 and s?
46
Suppose 197 = 6*f + 161. Suppose 2 = t + 2*c, 0 = -0*t + 2*t + 5*c - 2. Suppose t =