 Let f = 1163/8 + -151. Find the common denominator of f and c.
40
Let w be 1 - (-3 + 1 + 0 + -4). Calculate the smallest common multiple of w/2 - (-3)/6 and 2.
4
Let g = -479323/69470 - 2/6947. Let r(j) = j - 3. Let m be r(4). What is the common denominator of 195/24*2/m and g?
20
Let y(f) = -f + 4. Suppose 13*u = 21 + 5. Suppose -u*d + 41 = 21. Calculate the lowest common multiple of y(-4) and d.
40
Let s = -13507/16 + 846. What is the common denominator of s and 7/72?
144
Suppose -6*d = -2*d - 8. Suppose 2*q - 3*z - 16 = 0, 0*q - 36 = -4*q + 5*z. Calculate the smallest common multiple of q and ((-40)/25)/(d/(-40)).
224
Let s = -741 - -785. Calculate the lowest common multiple of s and 36.
396
Let m = 10166 - 274448/27. Find the common denominator of (-1716)/360 - 1*-1 and m.
270
Let k(l) = -l**2 + 39*l + 27. Calculate the lowest common multiple of 198 and k(0).
594
Let x(h) = -h**2 + 3*h + 2. Let m be x(2). Let q(y) = -y**3 + 6*y**2 - 6*y + 5. Let k be q(m). Let c = k + -7. Calculate the least common multiple of c and 12.
12
Let o = -11611/12298 + 45/559. Let x = 7495/6 - 1267. Find the common denominator of o and x.
66
Let q be ((-16)/(-12)*6/4)/2. Suppose s - 4*v - q = 17, s + v + 2 = 0. What is the least common multiple of 152 and s?
152
Suppose -5*u = -2*u - 30. Let n = -7 + u. Calculate the lowest common multiple of n and 21.
21
What is the least common multiple of 24/40 + 134/10 and 2?
14
Suppose 0*v - 8 = -2*v. Let w(b) = b**3 - 5*b**2 + 6*b. Suppose -3*k + 24 = -0*k. Calculate the least common multiple of k and w(v).
8
Find the common denominator of 49/9 and (-8925)/(-1120) + (-10)/1.
288
Suppose 0 = -v + k + 42, -3*k - 14 = -2*v + 72. Let n = 36 + -30. What is the lowest common multiple of v and n?
120
Let c = 217/176 - -929/1584. What is the common denominator of -53/24 and c?
72
Let w(m) = 2*m**3 - 7*m**2 - 3*m + 4. Let n be w(4). Suppose 5*z - 12 = n. Suppose -15 = -z*c + 49. What is the least common multiple of 10 and c?
80
Let n be (-6422)/4 - 6/(-12). Let t = 6493/4 + n. Let c = -333227/24 - -13882. Calculate the common denominator of c and t.
24
Let d(y) = 3*y - 40. Let q be d(12). What is the smallest common multiple of (6/8)/(5*q/(-1040)) and 6?
78
Let w = -2/311 - -10584/1555. What is the common denominator of w and 16/3?
15
Let q = 6253 + -6247. Suppose -f + 9 = m, -2*m + 9 = -3*m + 5*f. Calculate the smallest common multiple of m and q.
6
Suppose 5*w - 1 + 0 = -b, -11 = -b + 5*w. Calculate the lowest common multiple of b and 68.
204
Let h = -8834 - -123729/14. Calculate the common denominator of h and 2/(-8)*(-166)/5.
70
Suppose 3*u + 3070 = 8*u. Suppose i + u = 6385. Let d = i - 126921/22. Find the common denominator of d and -53/24.
264
Let k be (-1503)/(-5340)*34/(-3). Let n = k + 8/89. Find the common denominator of n and -139/12.
60
Let c(g) = -2*g**2 - 3*g - 1. Let b be c(-3). Calculate the common denominator of 1029/42*(-4)/16 and (242/(-10))/(12/b).
24
Suppose 3*p = 9 - 21. Let b be (2350/p)/(-1 - 0). Let y = b + -4087/7. What is the common denominator of 43/38 and y?
266
Let h(d) = d + 10. Let p be h(-7). Suppose -2 = -w + p. Suppose 0 = -n - w, 0 = -u - n + 4 + 1. Calculate the least common multiple of u and 14.
70
Let f = -18167 + 18178. Calculate the least common multiple of f and (5/2)/((-2)/(-36)).
495
Find the common denominator of 99/10 and ((-26)/(-481))/((-200)/65).
740
Let v = -63 + 67. What is the least common multiple of 21 and 24 + 0/(2 - v)?
168
Find the common denominator of -123/10 and ((-2)/55)/((-4)/(-83)).
110
Let q = -419 + 475. What is the least common multiple of 12 and q?
168
Suppose 2*y + 24 - 150 = 0. Let d(o) = -o**3 - 3*o**2 + 5*o + 8. Calculate the smallest common multiple of d(-5) and y.
693
Let x(f) = 6*f**3 - 3 + 0*f**3 + 9*f - 5*f**3 - 7*f**2. Let k be x(5). Calculate the lowest common multiple of (k/5)/((-2)/5) and 10.
20
Let u(w) be the third derivative of w**5/60 - w**4/3 + 3*w**3/2 - 3*w**2. Let z be u(6). Find the common denominator of -23/4 and (z/(-36))/(1/127).
12
Let h(m) = -m - 2. Let q be h(-4). Suppose -q*v - 20 = -7*v. Suppose 7*d + 5*g - 51 = 3*d, 2*g = 4*d - 58. What is the smallest common multiple of v and d?
28
Let k be (3750935710136/(-252))/((-1432)/(-222)). Let s = -2307538914 - k. Let i = 12/1253 + s. Find the common denominator of i and -87/8.
24
Let u(z) = z - 3. Let v be u(-2). Let p = 0 - v. Suppose 0 = p*t + 4 - 49. What is the lowest common multiple of t and 3?
9
Let l(p) = -p**2 + 12*p + 14. Suppose 0 = 7*f - 5*f - 4. Calculate the least common multiple of l(12) and f.
14
Let y = -381 - -383. Calculate the least common multiple of 40 and y.
40
Suppose 1456 = 2*h + 6*h. Let i = 272 - h. What is the least common multiple of 10 and i?
90
Let h(k) be the first derivative of -k**2/2 - 5*k + 6. Let y(u) = u + 2. Let n be y(-10). What is the smallest common multiple of 7 and h(n)?
21
Suppose 12*g - 142 = 110. What is the smallest common multiple of 27 and g?
189
Let f be (-16)/(-6)*15/2. Suppose -f = d - 5*d. What is the common denominator of 10/9 and (6/d)/(220/(-650))?
99
Let n = -1297 - -1374. What is the least common multiple of 88 and n?
616
What is the common denominator of (714/(-40))/3 - 123/(-82) and -101/30?
60
Suppose -28*a + 31*a - 42 = 0. What is the smallest common multiple of 10 and (-60)/21*(-49)/a?
10
Suppose 0 = -4*u - 2*v, -v + 3 = -2*u - 1. Let x be ((-2)/u)/(8/(-1132)). Find the common denominator of (-13)/65 + x/110 and -11/6.
66
What is the common denominator of (-1 + 2)*(-194)/156 and -115/78?
78
What is the common denominator of (-3)/(-9) + (-105)/(-24) and ((160/(-21))/4)/(99/(-77))?
216
Suppose 0 = -k - 4*k + 3*d + 57, 3*d = -12. What is the lowest common multiple of k and 15?
45
Let w = 2899 + -2896. Let s be (-2)/(-7) - 66/(-14). Let o(h) = h**2 - 3*h - 3. What is the smallest common multiple of o(s) and w?
21
Let a = 5454561/1124660 - -2/56233. Find the common denominator of a and ((-3)/60)/((-1)/51).
20
Let g be 111/(-4) - 2/8. Let t = g + 44. Suppose 3*l - 6 = 0, -2*r + r - 4*l = -18. Calculate the least common multiple of r and t.
80
Let v be 0 + -1 - (10 - 1). Calculate the lowest common multiple of 9 and (-24)/v*90/27.
72
Let n = 130 - 357/2. Let y be (-4)/10 + (-1634571)/(-540). Let k = 3022 - y. Calculate the common denominator of n and k.
12
Suppose -12*k + 16 = -16*k. Let b = k - -8. Suppose -j - 5 = -c - 2*j, -4*j = c + b. What is the lowest common multiple of 5 and c?
40
Suppose 0 = 2*h - 2*b - 28, 1 = -5*h - 4*b + 89. Let k = h - 10. Let c = 771 - 751. Calculate the smallest common multiple of c and k.
60
Calculate the smallest common multiple of 3356/42 - 21/(3969/(-18)) and 56.
560
Let m(g) = 45*g**2 + g. Let o(r) = 4*r - 5*r + 2*r. Let i be o(1). What is the common denominator of m(i) and 9/19?
19
Suppose 3*y + 8 = -2*a, -4*a + 12 = 3*y + 16. Calculate the lowest common multiple of a and 498.
498
Suppose -27*g + 26*g + 99 = 0. What is the common denominator of ((-33)/(-12) - 2)/(g/(-210)) and -91/246?
2706
Suppose 76*r - 73*r - 12 = 0, -4*z = -3*r - 188. What is the lowest common multiple of 20 and z?
100
Let r = -2201/120 - -167/8. Find the common denominator of r and -31/45.
45
Suppose -18 - 38 = -4*y. Suppose 0*o = -3*t - 2*o + 62, 3*t - 5*o - 76 = 0. Calculate the least common multiple of y and t.
154
Let b(x) = -2*x + 5. Let q be b(-7). Suppose 5*i - 11 = q. What is the least common multiple of i and 9?
18
Find the common denominator of 17/(5/((-5)/(-4))) and (-1)/((-132)/(-172))*(2 - 5).
44
Let h = 15 + 27. Let c = h - 34. What is the lowest common multiple of c and 8?
8
Suppose -2*t - 28 + 364 = 0. Suppose 0*d = 2*d - t. Find the common denominator of 4/d*333/6 and 79/8.
56
Let m = 244 - 4351/18. Let n = 109799/2 - 555253539/10114. Let l = -217479/70798 + n. What is the common denominator of l and m?
126
Suppose -2*b + 4*p + 8376 = 0, -4*b = b + p - 20984. Let t = -109023/26 + b. What is the common denominator of (-8)/120*42/(-4) and t?
130
Let y = 9825 + -225966/23. Let j = 419/7 + -3421/63. Calculate the common denominator of j and y.
207
Suppose -n + 63 = 2*n + 3*t, 3*n + 5*t - 69 = 0. Calculate the lowest common multiple of 2 and n.
18
Let r = 4 - 5. Find the common denominator of r/(6/(-369)*12) an