 = 19 + -7. Let u = t + 20. What is the least common multiple of u and 12?
96
Let c be 2/(-4)*(-9 + 7) - -41. Let k = c + -40. Calculate the least common multiple of k and 8.
8
Suppose 0 = -3*h - 3*h + 6. Calculate the common denominator of (-214)/(-32) - h/1 and -75/22.
176
Let y = 120973/21780 - -3/2420. Calculate the common denominator of y and -93/470.
4230
Suppose 2*o - 16 = x + 424, -o - x = -223. Let u = 1321/6 - o. Calculate the common denominator of u and (92/18)/((-16)/(-30)).
12
Let t = -709 - -859. What is the lowest common multiple of t and 30?
150
Calculate the common denominator of 10/(-2) + 56199/11362 and 133/12.
5244
Suppose 0 = -4*l - 3*l + 86016. Let v = -270421/22 + l. Calculate the common denominator of v and 121/18.
198
Let x = 605963 + -3644537/6. Let d = x - -1485. Find the common denominator of 68/9 and d.
18
Suppose 10*l - 9*l - 112 = 0. Suppose 12*x - l = 8*x. Calculate the lowest common multiple of 8 and x.
56
Let k(a) = 12*a**3 + a**2 - 1. Suppose 0 = t - 1 + 2. Let y be k(t). Find the common denominator of 2/4 - (-123)/y and 70/9.
36
Suppose -9 + 34 = -5*z, 0 = -5*t - 2*z - 35. Let c(b) = b**2 + 7*b + 7. Let m be c(t). Let f = -1 - m. Calculate the least common multiple of f and 9.
18
Let p = -201/22 - -2471/132. Find the common denominator of p and 113/66.
132
Calculate the common denominator of -19/8 and ((-10)/(-120)*6)/(206/(-198)).
824
Suppose p = -4*z - 4*p, 3*z + 4*p - 1 = 0. Let n = z + 14. What is the least common multiple of -2*(22/4 + -7) and n?
9
Let c(x) = x**2 + 11*x + 6. Calculate the least common multiple of 10 and c(-12).
90
What is the common denominator of -25*102/1044 + 6/2 and -17/406?
1218
Calculate the common denominator of 61/99 and 3/(-3) - (3 - 2313/594).
198
Suppose a - 3268 = -3*s + 309, -2*s = 5*a - 2363. Let p = s - 5944/5. Let k = -78/55 - 3286/165. What is the common denominator of p and k?
15
Let v = 59 - 215. Let w be v/(-10)*218/(-3). Let o = 1144 + w. Find the common denominator of o and 41/11.
55
Let x(f) = -f**2 + 4*f + 4. Let n be x(5). Let h = 630 - 622. What is the smallest common multiple of h and (-20)/(-4) - (-1)/n?
8
Let v = -4631/4 - -1146. Let z = -92 + 50. Calculate the common denominator of z/(-20)*45/18 and v.
4
What is the least common multiple of (-321)/(-1) - 3 - (-1 + -1) and 20?
320
Calculate the least common multiple of (3/9)/(4/120) and 5.
10
Let q(k) = -k**2 - 3*k - 2. Let p be q(-1). Let f = 10 - p. Suppose 3*y - 27 = -2*i, 4*i - 3*y + 0 = 9. Calculate the least common multiple of i and f.
30
Let m = -8895469/78 + 114046. What is the common denominator of 19/9 and m?
234
Let f = 344483/20 + -17218. What is the common denominator of 73/98 and f?
980
Suppose -89*v = -80*v - 720. What is the smallest common multiple of v and 16?
80
Let n = -4650 + 2616. What is the common denominator of (1/6)/(18/n) and -7/10?
30
Let v = 61040942083/5166164994 + -10/6572729. Let y = v - -46/131. What is the common denominator of 61/14 and y?
42
Let v = -58/1385 - -58957/448740. What is the common denominator of -143/54 and v?
324
Suppose -35*p - 80 = -39*p. Let q = 288 - 258. What is the lowest common multiple of q and p?
60
Suppose 8 = f + 2*o, -2*f + o = -0*f - 41. Suppose -13*g - 3*y + 122 = -8*g, -4*g = 5*y - 108. Calculate the lowest common multiple of f and g.
198
Let s = 1265/6 - 3218/15. Find the common denominator of 71/10 and s.
10
Let y be -2*5/((-20)/14). Suppose 222 = y*x + 33. Calculate the smallest common multiple of x and 5.
135
Let f = 97 - 50. Suppose u + 0*u = -2*j + 14, 0 = -4*u - 5*j + f. Calculate the smallest common multiple of 20 and u.
40
Let y = 863 - 833. What is the lowest common multiple of 36 and y?
180
Calculate the common denominator of 23/14 and (-42)/98*7*(-26)/(-288).
336
Suppose 0 = -9*f + 14*f - 25. Suppose 13 + 6 = 3*n + 4*k, 0 = 2*n - f*k - 28. What is the lowest common multiple of n and 11?
99
Suppose -16*f - 11*f = -4158. Calculate the smallest common multiple of f and 11.
154
Let q(n) = n**3 + 27*n**2 + 51*n + 11. Let b be q(-25). What is the common denominator of b/(-21) + 34/(-24) and 17/20?
20
Let n = 4148657 - 45687711/11. Let y = 4776 + n. What is the common denominator of y and -39/17?
187
Suppose 3 = -q - 1. Find the common denominator of ((-2)/30)/((-18)/45) and 695/132 - q/(-22).
12
Let j = 97 - 139. Calculate the common denominator of 39/22 and (5*6/j)/(48/98).
264
Let p(z) = -z**3 + 6*z**2 - 3*z - 8. Let f be p(5). Calculate the lowest common multiple of (-9)/f*(-7)/(-42)*-16 and 11.
132
Let q be (-622629)/351*(5 + 2). Let i = 12416 + q. What is the common denominator of i and 4/33?
429
Suppose 0 = -2*f - 35 + 59. Calculate the lowest common multiple of 336 and f.
336
Find the common denominator of (-690)/126 + -3*(-3)/27 and 44/9.
63
Suppose 162 = 5*w + 4*w. Suppose 3*q + 63 = 5*v - 0*q, 2*q - 10 = -v. What is the lowest common multiple of v and w?
36
Let t(k) = k**3 + 7*k**2 - 7*k + 13. Let z be t(-8). Suppose -z*c + 50 + 25 = 0. What is the smallest common multiple of 21 and c?
105
Let x(w) = 3*w + 15. Calculate the least common multiple of x(5) and 24.
120
Let g = 2/76304091 - 1083458744579/203477576. Let m = g + 5327. Calculate the common denominator of m and -113/18.
72
Let v(d) = -21*d + 203. Calculate the least common multiple of v(9) and (0 - 0/(-2)) + 80.
560
Find the common denominator of 33/7 and (3688/(-4810) - 0) + (-4)/(-5).
3367
Let t = 12702 - 24913/2. Let r = t - 211. What is the common denominator of (-2)/6 + 182/(-264) and r?
44
Let y(n) = 12*n**2 + 2*n + 1. Let d be y(-1). Let s = -34 + 50. Calculate the lowest common multiple of s and ((-2)/5)/(d/(-165)).
48
Let v be 39 - -40 - 3/2*-2. Let i = -130 + v. Find the common denominator of 67/2 and i.
2
Let r(j) = 3 + 8 + 10 - j + 3*j. Let a = 9 - 9. Calculate the lowest common multiple of 6 and r(a).
42
Let w = -1190 - -2357/2. What is the common denominator of -17/95 and w?
190
Let d = 18 - -3. Suppose d = 13*m - 10*m. Suppose -5*q + 125 = -7*a + 2*a, 75 = 3*q - 2*a. Calculate the smallest common multiple of m and q.
175
Suppose 0 = 3*j + 3*j + 102. Let s = j + 37. Let x(u) = 4*u - 10. What is the lowest common multiple of s and x(8)?
220
Let z(x) = 0 - 4 - x + 4 + 1. What is the least common multiple of z(-1) and 34?
34
Let s = 102642432 + -249626382157/2432. Let f = -3/2432 + s. What is the common denominator of f and -113/20?
40
Let p = -42 - -45. Suppose 6*a - 4*a = -2*m + 44, -p*a + 22 = m. Calculate the least common multiple of 14 and m.
154
Suppose 174 + 86 = 10*d. What is the lowest common multiple of d and 2?
26
Suppose m + b = -1, 3*m + 2*b = b + 7. Suppose -12 = -2*a - a, -m*a + 40 = 4*x. Let j(p) = -10*p - 8. What is the lowest common multiple of j(-3) and x?
66
Let v(q) = -q - 9. Let y be v(-8). What is the lowest common multiple of 4 and (2 - 4) + (y - -33)?
60
Let y = 5452 + -43671/8. Calculate the common denominator of y and (-874)/(-60) - (-4)/(-10).
24
Let u be (-1)/8 + (-1897)/56. Let l = u + 37. Calculate the lowest common multiple of l and (-1)/(-2) + (-42)/(-4).
33
Let s(q) = 6*q**2 - 1. Let g be s(-1). Calculate the common denominator of 453/(-120) - 3/g and 52/48 + (-10)/(-20).
24
Suppose 0 = -2*u + 2*o + 44, -o + 68 = 5*u - 18. What is the lowest common multiple of u and 144?
144
What is the common denominator of 17/235 and (-4)/(-34) - 11202/52734?
2585
Let o(p) = 26*p - 176. Calculate the lowest common multiple of 4 and o(8).
32
Suppose -25*d = -2337 - 2613. Calculate the least common multiple of d and 18.
198
Suppose 2*j - 8 = -2*z, 5*z + 5*j - 14 = 2*j. Let q be z + 4 - (1 + -4). Find the common denominator of (-2)/q - (-118)/(-8) and 54/7.
7
Let w be 52915/(-24) + (-12)/36. Let n = 1910 + 287. Let b = n + w. What is the common denominator of b and -59/5?
40
What is the common denominator of 2/(-22) + (16 - (-46634)/(-3696)) and 101/84?
168
Suppose 0 = -8*h + 2*h. Suppose h = 3*m + 8 - 32. Calculate the smallest common multiple of m and 9.
72
Suppose -10 = -4*t + 30. Suppose 0 = 3*v - 1 + t. Calculate the common denominator of v/(135/(-70)) + -1 and -23/4.
36
Calculate the lowest common multiple of 10 and (245/(-20) - 8)/(3/(-32)).
1080
Suppose 8*w - w = 0. Suppose w = -2*h - 3 + 5. Suppose -3*l = -1 - 17. What is the lea