88
Let s = 215021753/938028 + -41721/182. Find the common denominator of s and -17/8.
20616
Let c(d) = d**2 - 2*d - 2. Let s be c(0). What is the common denominator of 2/219 and (21/(-18) - s)/(30/24)?
219
Suppose 30*x - 21*x = -2916. Calculate the common denominator of -73/273 and 1 + (-9)/(x/(-930)).
546
Let l = 182 - 335. Find the common denominator of -109/18 and 17/l + 1588/360.
90
Let y = 1949 - 70199/36. Calculate the common denominator of y and -133/348.
1044
Suppose 36*j = 67*j + 21*j - 1300. Calculate the smallest common multiple of j and 7.
175
Suppose 3*k - 2*p - 109 = -3*p, 0 = -2*p + 2. Calculate the common denominator of (2/k)/((-43)/(-6536)) and -17/9.
9
Let o = 311/248 - 4/31. Let f = 18469 + -443165/24. What is the common denominator of o and f?
24
Suppose 5*h + 1 = -3*k, h + 3*h = -5*k - 6. What is the lowest common multiple of -2 - 2*k/(-4)*-47 and 165?
495
What is the common denominator of (-15)/25 + 49105/37800 and 125/66?
2376
Let z(i) = i**3 + 16*i**2 - 12*i - 35. What is the lowest common multiple of 36 and z(-16)?
5652
Suppose -4*x = -8*t + 6*t + 12, -14*t = -2*x - 32. Calculate the lowest common multiple of t and 11.
22
Suppose -l = -2, 14*u - 10*u + 5*l - 458 = 0. What is the smallest common multiple of u and 1330?
10640
Suppose 0 = 3*n + 12, 5*q + 5 = 5*n - 10*n. Suppose -15 = -q*j + 3*w, 2*w + w = -6. What is the least common multiple of 9 and j?
9
Let n(q) = q**2 + 9*q + 18. Let v(k) = -3*k + 47. Let a be v(18). What is the lowest common multiple of n(a) and 24?
24
Let p be 85/(156/(-168) - 3/(-7)). Let y = p + 179. Calculate the smallest common multiple of 6 and y.
18
Let r = -3/844 + 25745/844. Suppose -3*j - 321 = -2*w, -2*w + 5*w - 489 = -3*j. Calculate the common denominator of r and (-2)/(-4)*(2 + w/42).
14
Let h(f) = -2*f**2 + 6*f + 465. Calculate the least common multiple of 650 and h(15).
13650
Suppose -1179 = -199*q + 413. Let z be -1*-5*(0 - -1). Suppose -i + 2*u + 35 = z, 0 = 4*u - 12. What is the smallest common multiple of i and q?
72
Calculate the common denominator of 349/(-45) - -1 - (121/(-55) - -2) and -22/57.
171
Let a = -24 - -29. Suppose a*p = 2*p + 45. Find the common denominator of 18 and p/25*156/9.
5
Let u(j) = 391*j**2 - 6253*j + 6. Suppose 0*w - 30 = -5*w. Calculate the smallest common multiple of u(16) and w.
54
Let y(d) be the first derivative of d**2/2 + 17*d - 13. Let k be y(-8). Let f = k - -13. Calculate the least common multiple of 2 and f.
22
Suppose -112 = w - 29*w. Find the common denominator of 1313/(-52)*w/22 and 3/44.
44
Let j(t) = t**3 - 18*t**2 + 43*t - 170. Suppose -5*g = -4*q - g + 24, -9 = q + 4*g. Calculate the smallest common multiple of j(16) and q.
6
Suppose 2*l + 0 - 6 = 0. Let w = 412 + -412. Suppose w = 2*u - 2*g - 30, 5*u - 57 = -0*u - g. What is the lowest common multiple of u and l?
12
Suppose 2*o + 5*a = 128, -8*a = 3*o - 4*a - 192. What is the least common multiple of o and -110*((-2)/6 - (-29)/(-435))?
704
Let n = -2368 - -3004. Calculate the lowest common multiple of n and 72.
3816
Find the common denominator of (-2682)/(-126) + -1 - 30/2 and (-75)/(-4) + (-3)/12.
14
Let t = 9181/3996 + 8/999. Suppose 2*f - 630 = 266. What is the common denominator of f/(-63) + 1/(-2) and t?
36
Let j be (-3 + 7/(-14))*-4. Suppose 0 = -j*d + 528 + 228. Calculate the least common multiple of d and 18.
54
Let t be (-4 - -3)/(4/20). Calculate the common denominator of -87/16 and 226/15*t/72.
432
Let a = -94299633/910 + 103626. What is the common denominator of a and -73/455?
910
Suppose 6*m - 5*n - 13767 = 2*m, -m - 5*n + 3473 = 0. What is the lowest common multiple of 14 and m?
24136
Let r = 713 + -553. Let s = -614 + 10993/18. Find the common denominator of s and (-2)/r*(-11660)/88.
288
Let q(l) = 43*l**2 - 14*l + 23. Let c be q(3). Suppose 24*o - o = c. Calculate the least common multiple of 12 and o.
48
Let a = 0 + 10. What is the smallest common multiple of a and (-28)/56*(-11 + -1)?
30
Let c = -29858 + 597047/20. What is the common denominator of c and (19/(-30))/((-4)/(-6))?
20
Suppose 54*v = 48*v + 7908. Suppose 11*q - v = 750. What is the least common multiple of q and 4?
188
Let h be (18 + 18)/((-8)/(-12)). Suppose 3*w = -4*b + 18, 8 = b + 3*b - 2*w. Find the common denominator of -49/4 and (1 - -5)*(h/(-192))/b.
16
Suppose -4*q - 7 - 66 = -3*k, 3*q + 81 = -3*k. Calculate the common denominator of q/121 + 1599/990 and -71/3.
30
Let i = -28579878/1042924085 - 1/608119. Find the common denominator of 71/245 and i.
1715
Suppose -10*d + 20*d + 70 = 0. Calculate the common denominator of -151/24 and 447/(-288)*(d + 15/2).
192
Suppose 1783 + 1605 = 14*q. Suppose -j - 32 = 130. Let m = q + j. Calculate the smallest common multiple of 12 and m.
240
Calculate the lowest common multiple of 208 and (6 + (-18)/4)/(2 + 621/(-312)).
624
Let o = 9214 - 9545701/1036. What is the common denominator of o and 22/37?
1036
Suppose 0 = -5*x - n + 127, -2*x + 14 = -2*n - 32. Suppose x*l + 852 = 23*l. Find the common denominator of 139/12 and 2/(-90)*-3*l/(-4).
60
Let w = 12542 + -2295155/183. Let j = 7261/6 - 1198. Calculate the common denominator of w and j.
366
Let r be 4202234*2/3600 + 5/20. Let p = r - 21022/9. What is the common denominator of p and -157/150?
150
Find the common denominator of (-2 - 56)*(-15)/210 and 13/753.
5271
Let f(s) = 141*s - 267. What is the least common multiple of f(2) and 10?
30
Let r be -1 - 1285/20*26. Let x = r - -1705. Find the common denominator of ((-29)/3)/((-10)/(-9)) and x.
10
What is the common denominator of 8/225 and 1653/(-198) + -19 + 1055/55?
450
Let h = 6922 + -6544. Calculate the lowest common multiple of h and 432.
3024
Let a be (-12)/4*(-15 - -2). Let r be 111/a - 4/(-26). Calculate the lowest common multiple of 1 and r/2*64/24.
4
Suppose -k + 8 = -0. Suppose -45 = -k*g + 51. Calculate the common denominator of g/16 + 535/(-780) and -99/2.
78
Let t be ((-39)/2)/3 - (-7)/14. What is the common denominator of -73/88 and 158/128 - (-12)/t?
704
Suppose -82 - 38 = -3*i. Suppose -4*g + 2*j = -170, 35 = g - 6*j + 7*j. What is the smallest common multiple of g and i?
40
Suppose -t + 10 = 3*t - 2*g, -2*t = 4*g. Let m = 8 + -3. Let n(a) = a**2 - 2*a - 4. Calculate the least common multiple of n(m) and t.
22
Suppose 3*z - 5*m - 8 = 32, 0 = -2*z - 2*m. Let y(w) = w**3 + w**2 + w + 16. Let v be y(0). Calculate the smallest common multiple of (11/4 + -1)/(2/v) and z.
70
Calculate the common denominator of -75/338 and (-316)/(-6)*762/(-5080).
1690
Let g be (9/14)/((-24)/(-14))*-687. Let y = g - -258. Find the common denominator of 7/164 and y.
328
Suppose -81 + 11 = 7*m. Let u = m - -163/16. What is the common denominator of 55/24 + (-2)/(-8) and u?
48
What is the common denominator of 109/1728 and ((-549)/108)/(-61)*-214?
1728
Suppose 4*h - 5*b - 60 = 0, -5 = 2*h + 2*b - 35. Suppose 0 = 17*y + h*y - 2752. What is the least common multiple of y and 20?
860
Let u be 3*(3 + 5/(-3)). Suppose z - 2 = 3*a, u = -4*a - z + 13. Suppose -a = -g + 5. What is the smallest common multiple of 6 and g?
6
Suppose 0 = 7*q - 34 - 1. Calculate the common denominator of 113/78 and ((-1596)/(-90) - 1) + 3/q.
78
Suppose -2*h - p + 2 = -5*p, -3*h - 3*p + 12 = 0. Find the common denominator of h/((-9384)/(-1060)) - (-8)/68 and -11/6.
138
Let l = 87418 + -25176323/288. Calculate the common denominator of 77/144 and l.
288
Calculate the common denominator of 101/31844 and ((-2784)/(-18))/(-8)*5/(-160)*6.
63688
Let w be 5*-1*160/200. Calculate the smallest common multiple of (1 + 9 + w)/(-4 - -5) and (1 + (-1)/2)*24.
12
Let o(c) = c**2 - 5*c + 38. Let s be 46/4 + 12*(-6)/48. Calculate the lowest common multiple of o(s) and 88.
88
Let f = -63457/23034 - -163/349. Find the common denominator of (436/50)/((-24)/5) and f.
660
Let w = -14141/2 - -7119. What is the common denominator of w and 67/1730?
1730
Let m(x) = 2*x**2 - 19*x + 45. Let o be m(5). Suppose o = -12*u + 3*u + 162. Calculate the least common multiple of 18 and u.
18
Suppose 0*n = -2*n + 48. Suppose -f = 8*b - 4*b - 19, 3*f - 7 = -2*b. What is the least common multiple of n and f*24/6 - -6?
24
Let y(z) be the third derivative of z**5/60 + 7*z**4/24 + z**3/2 + z**2 + 8*z. Calculate the least common multiple of 52 