
Let s(d) = d**3 + 36*d**2 + 27*d - 4582. Let g(a) = 2*a. Let x be g(1). Suppose -10 = -3*w + x. What is the lowest common multiple of s(-30) and w?
8
Let b(d) = 6*d - 4. Let s be -13*4/8*-2. Let w be b(s). Suppose 3*y - w + 20 = -3*n, 0 = -y + 5*n + 30. Calculate the lowest common multiple of y and 20.
20
Let x = 18 + 3. Suppose 33*u = 30*u + 21. What is the lowest common multiple of u and 6/x + 24/14?
14
Find the common denominator of -73/1108 and (9*(-1)/(-20))/((-105)/(-1120)).
5540
Let w(j) = -5*j - 16. Let r be (-2)/(-4)*(-2 - -5 - -3). Suppose -2 = -4*k + r*k, l + k = -4. What is the least common multiple of w(l) and 16?
112
Let o(b) = b**2 + b + 3. Let h be o(4). Suppose 19 - h = -4*c. Calculate the smallest common multiple of c and 10.
10
Suppose 0 = -5*g + 2*w + 452, -2*g - 4*w = 10 - 186. What is the lowest common multiple of 2 - 268/(-9) - (-20)/g and 10?
160
Suppose 4*w + 14 = 5*w. Let g = 562 - 554. Calculate the lowest common multiple of g and w.
56
Let h = -6922 + 3208. Let u = h + 185709/50. Calculate the common denominator of 41/3 and u.
150
Suppose -29*w + 18*w + 385 = 0. Suppose w*q - 39*q + 132 = 0. What is the smallest common multiple of q and 153?
1683
Let i = -180602 + 231170673/1280. Find the common denominator of i and -113/80.
1280
Let l(i) = -928*i. Let z be l(-5). Suppose s = 5*u + 6*s - z, -5*s + 1844 = 2*u. Let t = -3653/4 + u. What is the common denominator of t and -89/15?
60
Suppose -60*n - 1116 = -3*v - 62*n, 0 = -5*v + 2*n + 1828. What is the least common multiple of 176 and v?
4048
Let m be ((-6)/(-9))/(3/9). Suppose m*d = -3*n - 4, -3*n - d + 1 = -0*n. Calculate the common denominator of (3/(-15))/(n/48) and 41/5.
5
Let u = -250 - -235. Let n = 15426 + -184985/12. Find the common denominator of 2 + -2 + 7/462*u and n.
132
Let o(x) = -x**3 + 9*x**2 + 13*x - 3. Let s be o(10). Let t = s + 0. Suppose -12*d + 1053 = 27*d. Calculate the lowest common multiple of d and t.
27
Calculate the common denominator of -19/150 and (21322/(-1120) - -19)/((-45)/70).
600
Suppose -7*p + 98 = 399. Suppose -4*l + 156 = -l. Let f = p + l. What is the smallest common multiple of 9 and f?
9
Let l(z) = 11*z - 17. Let x be l(5). Let v = x - 39. Let u(y) = 31*y**2 + 2. Calculate the smallest common multiple of 21 and u(v).
231
Let k = 11/4 - 25/9. Suppose 0 = -3*l + 74 - 71. Calculate the common denominator of k and (-32)/120*(l - (-153)/(-33)).
396
Let g = -1/488 + 35627/1464. Calculate the common denominator of g and -127/2916.
2916
Suppose 5*i = -5*y + 200, 3*i + 0*y + y - 120 = 0. Let f(t) = -t**3 - 6*t**2 + 178*t + 756. What is the lowest common multiple of i and f(-4)?
120
Let v = -23 + 23. Suppose 2*r + 5 - 9 = v. Suppose 4*s - r*s = 8. Calculate the lowest common multiple of 2 and s.
4
Calculate the common denominator of -145/252 and -1 + 1 - ((-272965)/(-9072) + -30).
9072
Let v = 22103/21120 - -9/640. What is the common denominator of v and 59/3?
33
Let v = 9207/16 + -573. Let h = 2830675342/75 - 226556111/6. Let d = 17013 + h. Find the common denominator of d and v.
400
Let x be 22 - (-3)/4*(4 + -8). Suppose -2*n - 14 = -2*q, -2 = 5*n + 2*q + x. Calculate the lowest common multiple of 30 and (-3 - -9 - n)/(2/6).
330
Find the common denominator of ((-2)/(-5))/((-76)/(-160)) and (-91)/21 + 1120/(-210).
57
Calculate the smallest common multiple of ((-96882)/603)/((-2)/12) and 24.
5784
Let k = -60 + 70. Let h be 3954/k - 26/65. Find the common denominator of (2 - h/72) + 3 and -121/6.
72
Let p(i) = -5*i - 120. Let x be p(-24). Find the common denominator of 59/260 and ((-259)/28 - x) + 0.
260
Suppose -4*i + 255 - 1017 = -2*b, 5*i = -4*b + 1563. Let f = b - 363. Calculate the lowest common multiple of 48 and f.
48
Let j(b) = b**3 + 9*b**2 - 13*b - 23. Let q = -635 + 452. Let x be 2/10 - (q/(-15) - 2). What is the lowest common multiple of j(x) and 10?
70
Let z be (-1)/(3*(-3)/333). Let t be (-3)/(63/(-741)) + (-4)/14. Let k = z - t. Calculate the least common multiple of 16 and k.
16
Let n = 2289 + -2233. What is the smallest common multiple of n and 350?
1400
Calculate the least common multiple of -79 + 24 + -3 + 63 and (22/8)/(1/4).
55
Let k(a) = 4*a - 16. Let t be k(5). Suppose t*u = 16, -5*u - 6242 = 4*x - 85422. Let b = 395707/20 - x. Calculate the common denominator of b and -9/14.
140
Suppose 3*p - 57 = -666. Let y = p - -227. What is the lowest common multiple of 36 and y?
72
Suppose -4*q - 2892 = -2*b, 0*b - 5*b + 7266 = 2*q. Calculate the smallest common multiple of b and 1452.
1452
Suppose -y - 43 = -5*k, k + 0*k + 141 = -2*y. Find the common denominator of y/17 - 20/(-22) and -41/9.
99
Let p = -386114 - -253676821/657. Find the common denominator of 3/73 and p.
657
Suppose 0 = -26*m + 28*m + 8. Let k(j) = 228*j**2 + 19*j - 5. Let u be k(m). Let w = -64121/18 + u. What is the common denominator of 67/10 and w?
90
Let l be ((-141)/(-12))/((-13)/(-156)). What is the smallest common multiple of l/5 - 7/35 and 60?
420
Let a = 454 - 430. Suppose -21*m + a = -18. Calculate the lowest common multiple of m and 7.
14
Suppose u + 30 = 32. Let n be ((-3)/u*16736/(-264))/2. Let z = -9457/176 + n. Find the common denominator of 13/14 and z.
112
Let o = -15057 - -20050. Calculate the smallest common multiple of o and 8.
39944
Let k be 2/5 + 1179635/(-150). Let g(v) = 160*v**2 - 2*v + 27. Let s be g(-7). Let w = k + s. Calculate the common denominator of -19/9 and w.
18
Let u = 9573 - -7805. What is the lowest common multiple of 4 and u?
34756
Let q = 8/3037 - 13442/2797077. Let n = -37757/1842 + q. What is the common denominator of 40/27 and n?
54
Suppose 5*i = c + 3*c - 2412, -c = 2. Let a = i - -580. What is the smallest common multiple of 24 and a?
96
Find the common denominator of 4128/(-572) - (-2520)/336 and 20/429.
858
Let o = 58639/828 - 1664/23. What is the common denominator of -107/204 and o?
612
Let v be (-363075)/1836*10/50. Let j = -1379/36 - v. What is the common denominator of -77/18 and j?
306
Calculate the common denominator of 115/552*1155/400 and 55/4.
128
Let s = -95 + -37. Let q be (-1)/(-7) - (-174)/(-42). What is the common denominator of (26/72)/(q/s) and -7/10?
60
Let j(g) = -1048755*g**2 + 15*g + 6. Let o be j(-6). Let k = 17065386911/452 + o. Let q = 3/113 - k. What is the common denominator of q and -77/4?
4
Let n = -231 - -324. Suppose -3*z + n - 63 = 0. Calculate the common denominator of -8/9 and (z/(-26))/((-10)/70).
117
Let y = 60365/6 + -10056. Calculate the common denominator of 4/1355 and y.
8130
Suppose 0 = 18*h - 27 - 189. Suppose 0 = 24*q - 22*q - h. What is the lowest common multiple of 21 and q?
42
Suppose -68*u - 303 + 843 = -8*u. Calculate the least common multiple of 6917 and u.
62253
Let t be (-3)/94*(-333003)/44. Let g = 1997/8 - t. Let i = -13703/1410 + g. Find the common denominator of -28/5 and i.
30
What is the lowest common multiple of 60 and (-12 - (-960)/70)*(21/(-2))/(-1)?
180
Let o be 1 - (1 - 1/1). Let m be (2/(-8))/o + 4305/28. Let d = m - 145. What is the common denominator of 65/18 and d?
18
Let s = -88 + 132. Let g(f) = 99*f - 982. What is the smallest common multiple of g(10) and s?
88
Let p = -3680 + 3869. What is the lowest common multiple of 21 and p?
189
Suppose 0 = -29*s + 19*s + 360. Find the common denominator of 372/(-90)*((-159)/s - -4) and (1/66)/((-5)/680).
198
Suppose 4*v - 55 = 85. Let d = 79699 + -79684. Calculate the lowest common multiple of d and v.
105
Let v = 8422 - 3707. Let d = 88/166149 + -12542755567/2658384. Let m = d + v. What is the common denominator of m and 119/12?
48
Suppose 3*d = -3*r + 18, -4*d = 5*r - 15 - 8. Let h(w) = w**2 + 2*w - 6. Let t be h(-9). Let s = t + -22. Calculate the lowest common multiple of s and d.
35
Calculate the common denominator of 7/90 and (776/(-60))/(48/(-30)).
180
Find the common denominator of 38/((-456)/(-18)) - 43/(-54) and 43/180.
540
Suppose 29 + 11 = 10*r. Suppose -2*q = r*l, 3*q - 6*l = -2*l + 10. Calculate the lowest common multiple of q and 191.
382
Let u(m) = -65*m + 62 + 35 + 63*m. Calculate the smallest common multiple of 63 and u(41).
315
Let o(t) = -t**3 + 17*t**2 - 14*t - 7. Suppose -80 = 24*b - 29*b. What is the smallest common multiple of o(b) and 15?
75
Let a = 3061635/91 + -33644. Find 