et s be n(m). Suppose -5 = s*w - 25. Calculate the lowest common multiple of w and 10.
20
Let z = 2521 - 50371/20. Calculate the common denominator of (-3609)/(-180) + 12/(-15) and z.
20
Let q(m) = 2*m**3 + 16*m**2 + m + 19. Calculate the lowest common multiple of 3 and q(-8).
33
Let d = 201 + -194. Let a be 1 + (-3)/(-9)*3. Let j = 6 - a. What is the least common multiple of d and j?
28
Calculate the common denominator of 1276/132*1/(20/6) and -121/10.
10
Let w(g) = g**3 - 7*g**2 - 22*g + 28. What is the lowest common multiple of w(11) and 216?
1080
Let i = 6 - 1. Let f(r) = r**2 - 2*r + 4. Let o be 6 + 1 + 13 + -17. Calculate the lowest common multiple of i and f(o).
35
Let k = 15147 - 15129. Suppose 5*w + 0 = 5. Calculate the smallest common multiple of w and k.
18
Let n be (-93)/13 - 1 - 24/(-156). Calculate the common denominator of 2/n - (217/36 - 5) and 97/18.
18
What is the common denominator of ((-769)/(-4290) - 6/33)*-124 and 24/5?
195
What is the common denominator of -61/6 and (-10)/2 - (-4693)/546?
42
Let l = 4781257/376 - 12716. Calculate the common denominator of -25/9 and l.
3384
Let n be 6/(-27) + (-47)/(-9). Suppose 36 = n*x - 39. Let o = x - 7. Calculate the lowest common multiple of o and 14.
56
Suppose 4*y = w - 11, 5*w = 4*y + 15 + 8. Let c be ((-18)/30)/((-1)/10). Suppose c*u = 39 + 3. Calculate the smallest common multiple of u and w.
21
Let a be ((-4)/3 + 1/3)/1. Find the common denominator of (-5 - (-726)/108)/(a/(-2)) and 89/15.
45
Suppose -m = -a + m - 53, -4*m + 241 = -5*a. Let f = a - -75. What is the smallest common multiple of 18 and f?
90
Let j(k) = -5*k - 10. Let c(u) = -u. Let s(t) = -4*c(t) + j(t). Let d be s(-9). What is the common denominator of -73/4 and (d + 18)*(-8)/48?
12
Let b(k) = -k**3 - k**2 + 2*k + 1. Suppose c - 11 + 10 = 0. What is the least common multiple of c and b(0)?
1
Let b be 0 + (-39)/(-3)*-1. What is the common denominator of -35/44 and (b/6 - 5) + 1 + -3?
132
Let l(u) = u + 7. Let o be l(-9). Calculate the lowest common multiple of 12 and 11 + (-28)/21 + o/(-6).
60
Suppose -15*c + 12*c - 35112696 = 0. Let x = c - -210280807/18. Let t = 21972 + x. What is the common denominator of t and 75/8?
72
Suppose 0 = -m, 7*r = 4*r + 4*m - 87. What is the smallest common multiple of 0 + -1 + 0 + (-145)/r and 72?
72
Let y = -15557/32824 + 3/373. Find the common denominator of y and -85/88.
88
Let w = -5 + 10. Suppose -3*n + 3*h = -3, -w*n + 0*h + 5 = 5*h. Suppose -2*k - 3*k = -45. Calculate the lowest common multiple of n and k.
9
Let q(x) = x + 31. Let z be q(-17). Let j be (-2)/z + 127749/(-105). Let y = 134063/110 + j. What is the common denominator of 117/10 and y?
110
Let l(a) = 12*a**2 - 4*a - 3. Let x be l(-2). Suppose x = 4*k - 11. Let y(w) = w**2 - 3*w + 2. Calculate the least common multiple of y(-3) and k.
80
Let m = -101 + 106. What is the smallest common multiple of m and 127?
635
Find the common denominator of 1290/400 - (-14)/(-35) and ((-64)/6)/(140/(-24)).
280
Suppose 29 = -6*u + 5. What is the least common multiple of -2 + (9 - u) + 3 and 10?
70
Let x(l) = 15*l**2 - l + 1. Let u = 13 + -12. What is the smallest common multiple of x(u) and 27?
135
Suppose -3*o - 12 = 0, 0 = 3*w + 2*o - 0*o + 38. Let r = 4/1487 - 58025/11896. Calculate the common denominator of r and 60/(-100) + (-311)/w.
8
Suppose 5*l - 12 - 13 = 0, 3*i + l = -85. What is the common denominator of (-744)/(-81)*(-3 + i/(-8)) and -63/8?
72
Find the common denominator of (-3836)/2112*(-3)/((-42)/4) and -61/33.
264
Find the common denominator of (17/(-3))/(1*-8) and -55/24.
24
Let i = 17/59 - 1577/354. Let l = 79/52 - 10/13. What is the common denominator of l and i?
12
Let q = -1/55499 + -2164342/6604381. What is the common denominator of q and 71/51?
357
Calculate the least common multiple of (-14)/(-3)*189/126 and 77.
77
Calculate the least common multiple of 6 and -19 + 21 - ((2 - 2) + -2).
12
Let w = 1333/7152 - -1/894. Let j be (6/2)/((-12)/(-392)). What is the common denominator of w and 0 - j/18 - -1?
144
Let p = -1759/70 - -151/5. Let w = 9 + 3. What is the common denominator of p and 1/w*(3 + -4)?
84
Let o = 59 - 52. Calculate the smallest common multiple of o and 11.
77
Let r(d) = 2*d**2 - 3*d - 30. Calculate the least common multiple of 322 and r(-4).
322
What is the least common multiple of (-51)/(((-3)/1)/(43 + -42)) and 7?
119
Let l = -2/357 + -17965/714. Find the common denominator of -49/6 and l.
6
Let q(l) = -3*l + 2. Let m be q(-6). Suppose 0 = 2*g - 12 + m. Find the common denominator of 18 and ((-16)/(-54))/(g/(-24)).
9
Find the common denominator of (-5)/(1170/374) - (6 - 8) and -31/9.
117
Suppose -5*i - 5*a = -55, 6*i - a = 2*i + 39. Suppose -i = -5*r + 60. What is the lowest common multiple of r and 10?
70
Let t = -37/59 + -428221/472. Let n = 904 + t. Calculate the common denominator of n and -25/2.
8
Suppose 0 = -2*t + t - 26. Let v = 771 + -1501/2. Find the common denominator of v and 537/(-195) - 4/t.
10
Let w be (-1)/(-3) + 5/3. Suppose -4 = o - w*o. Suppose 3*k + 5 = o*k. Calculate the lowest common multiple of k and 5.
5
Let w be (-6 - -1)*-2*7/(-35). Let u(h) = h**2 + h. Let n(m) = -4*m**2 - 6*m - 5. Let g(k) = -n(k) - 2*u(k). What is the least common multiple of 9 and g(w)?
45
Suppose -p = 3*p + 176. Calculate the common denominator of (-50)/75*(-65)/2 and (-1)/(-2) + 178/p.
33
What is the common denominator of -23/32 and 5925/200*2/(-15)?
160
Let q(b) = b**2 - 2. Let w be q(-2). Suppose -2*k - w*k + 4 = 0. Suppose -126*y + 44 = -122*y. What is the lowest common multiple of y and k?
11
Find the common denominator of (-18)/(-224)*635/(-1524) and 79/2.
448
Let n be (-3)/(-1*(-1 - -2)). Suppose 10 = n*h - 2*h. Calculate the smallest common multiple of h and 2.
10
Let f be -2 - -241*(-2)/9. Let h = f - -2477/36. Let g = 21571 - 517591/24. What is the common denominator of g and h?
24
Let a = 16 + -10. Suppose -5*k = a - 76. Let h(u) = 3*u**2 + u - 4. Calculate the smallest common multiple of h(-3) and k.
140
Let m = -1455/4 - -362. Find the common denominator of m and 41/48.
48
Let a = 8198870240665371/59144 - 138625562035. Let d = 1325601863/7393 - 179305. Let o = a + d. Calculate the common denominator of o and -53/4.
8
Find the common denominator of 25/6*-3*(-6)/8 and -48/239.
1912
Let j(u) = 2*u**3 + 18*u**2 + 42*u + 44. Let a = 3 + 5. Calculate the least common multiple of a and j(-6).
8
Let w = 2419/168 - 339/28. Let a = -66149/10 - -6604. Find the common denominator of w and a.
120
What is the common denominator of ((-11)/((-33)/78))/(-2 - -3) and 34/11?
11
Let y = -67 - -37. Calculate the common denominator of 1*159/36 + 15/10 and 201/y + 3/(-1).
60
Let j = 255 - 213. Calculate the lowest common multiple of 154 and j.
462
Let w = 3167191/28 + -113096. Let y = w + -117/7. Calculate the common denominator of -101/8 and y.
8
Calculate the common denominator of -131/102 and (7 + (-2191)/308)*(-12)/17.
1122
Let h = 196 + -158. Let v = 7 + 9. Calculate the smallest common multiple of h and v.
304
Let r = 35 + -125. Let k be 1 - ((-352)/r - 3). Let y = k + 14/5. Calculate the common denominator of 89/8 and y.
72
Let j be -6 + -14 + 3/1. Let z = j + 24. Suppose 10*h - z*h = 6. What is the smallest common multiple of 18 and h?
18
Suppose f - 7 = -2*x + 4, 0 = 4*f - 4. Suppose 0 = x*a - 5*z - 80, -25 = -2*a - 4*z + 7. What is the least common multiple of a and 2?
16
Calculate the smallest common multiple of 4 and 2/(6/3)*24/4.
12
Let q = -1323/4 - -613/2. Let j = -19 - -181. What is the common denominator of (2 + j/(-80))*6 and q?
20
What is the common denominator of (-2765)/(-540) + (-30)/6 + -1 and -25/24?
216
Let z(c) = -2*c**3 - 3*c**2 + 19*c + 38. What is the smallest common multiple of z(-4) and 9?
126
Suppose 21*t - 220 = 10*t. Calculate the least common multiple of 2 and t.
20
Let h = -3/22 + 40/11. Calculate the common denominator of h and -1*(-132)/(-20)*5.
2
Let w = 34/111 - -2192/333. What is the common denominator of w and 145/96?
288
Suppose -46*t + 49*t - 12 = 0. Let u = 8452519/5139 + -191/571. Let v = -1639 + u. What is the common denominator of v and t?
9
Let o = 1/366725 - -48040783/70411200. Calculate the common denominator of o and 8/21.
1344
Let h(c) = 2*c**2 - 3*c 