5*d. Let z = d - -16. Let t(j) = j**3 + 6*j**2 - 2*j - 2. Calculate the lowest common multiple of 12 and t(z).
60
Let v = 2 - -6. Suppose 0 = -2*r + v + 24. Suppose 4*l = 2*a + r, 4*a + l = 5*l - 16. What is the common denominator of a and -119/10?
10
What is the common denominator of 29/182 and 1 - ((-4)/14)/(11/(-37))?
2002
Find the common denominator of 73/2 and (1/(-6))/(3605/(-1925)).
618
Find the common denominator of -32/3 and 36/198 + 131/187.
51
Suppose 439 + 329 = 8*p. Calculate the lowest common multiple of p and 4.
96
Suppose 2*p = 5*g + 6*p - 584, -2*g - 5*p + 220 = 0. Suppose 4*r + 4*d - 8*d + g = 0, -3*r = -d + 92. Find the common denominator of 41/20 and -1 + 2 - r/(-8).
40
Let c(q) = -q + 18. Let w be (-1)/(-5) + 116/20. Suppose -w*n = -n - 70. Calculate the lowest common multiple of n and c(8).
70
Let b = 755266244441/3573 - 211381539. Let m = b - 4/397. Let q = 213/16 + 167/16. What is the common denominator of q and m?
36
Let d = -60786 - -3404109/56. What is the common denominator of d and 103/22?
616
Let c = 6 - -845. Let f = c - -1244. Let d = -8337/4 + f. Find the common denominator of d and 51/5.
20
Let d be -6*(2 - 15/6). Calculate the least common multiple of -12*2/(-4)*d and 10.
90
Suppose 0 = -4*u + 4*w + 80, 13*w + 24 = u + 10*w. Calculate the least common multiple of u and 30.
90
What is the common denominator of -6 + 138/24 - 14/6 and -13/36?
36
What is the common denominator of (-2397)/(-3060) + 6/10 and -31/30?
60
Suppose 0*z + 4 = 2*z. Let k(w) = 3*w**2 + 2*w - 12*w**3 + 5 + 23*w**3 - 10*w**2 - 9*w**3. Calculate the smallest common multiple of z and k(3).
2
Let c(z) = -z + 8. Let t be c(-12). What is the least common multiple of 8 and (-32)/((-2)/(5/(t/8)))?
32
Let c = 76/7 + -675/77. Suppose 10*a + 385 = 5*a. Calculate the common denominator of c and 66/a*10/(-4).
77
What is the common denominator of 6/(-15) - ((-16)/(-110) + 2) and (3/4)/((-36)/(-876))?
44
Let d = -8351/279 + 263/9. What is the common denominator of d and 11/19?
589
Let k be ((-684)/19)/(0 - 1). Let w = -26 + k. Calculate the least common multiple of 5 and w.
10
Let o(u) = -2*u**2 - 2*u - 6. Let j be o(3). Find the common denominator of (-143)/j + 42/(-70) and 54/7.
42
Suppose -2*q + 3*r + r = 2010, -5*q - 5017 = -2*r. Let a = q + 2105/2. What is the common denominator of a and 15/8?
8
Let i = 4046/5 + -23561/30. Calculate the common denominator of (-15)/(-2)*(1120/(-25))/(-7) and i.
6
Let f = -66125/12 - -5504. Calculate the common denominator of (69/(-72))/(2/(-4)) and f.
12
Find the common denominator of -31/142 and -5 - ((-27)/(-72))/((-7)/12).
994
Suppose 4*z - 145 = -3*a, -3*a - 10 - 49 = -2*z. What is the least common multiple of 22 and z?
374
Let t(b) = 4*b**2 - b + 2. Suppose 4*a = 8 - 0. Calculate the least common multiple of t(a) and (9 - 1) + 6/6*2.
80
Suppose 12 = -4*f + 44. Suppose 0 = -2*z + f*z - 48. Calculate the smallest common multiple of 4 and z.
8
Let i = -81159/22 + 3686. What is the common denominator of ((-23)/28*-2)/(-4 + 3) and i?
154
Suppose c + 0*t - 46 = -2*t, 234 = 4*c - 2*t. Let k = c + -31. Suppose 5*d + 5 = k. What is the smallest common multiple of 5 and d?
20
Let h = 12 - -6. Let r = h + 17. Suppose 2*x = -5*q + r, -3*x + q - 7 = -34. Calculate the smallest common multiple of 1 and x.
10
Find the common denominator of 10697/(-1596) - (-2)/7 and -47/106.
636
Suppose -20 = 4*y, -4*y + 25315 = 4*g + y. Let d = 95074/15 - g. Find the common denominator of d and 79/6.
30
Let d = -4954623/122 + 40612. What is the common denominator of d and -35/4?
244
Let z = 312 + -272. Calculate the smallest common multiple of z and 4.
40
Let s = 28513/84 + 2223/28. Let x = 416 - s. What is the common denominator of x and 71/42?
42
Let m = -247859/12 + 20667. Calculate the common denominator of m and -17/16.
48
Let v be 2 - ((-12)/3 - -2). Suppose -v*u = 2*x + 148, -u - 3*u + 68 = -x. Calculate the common denominator of -97/4 and (-1470)/x - 1/4.
12
Let b be ((-226386)/(-14))/((-22)/21). Let h = b + 15440. Find the common denominator of h and (-751)/(-154) - (-4)/(-14).
22
Let q(f) = f**3 - 7*f**2 + 7*f + 6. Let l be q(6). What is the common denominator of 6/l*50/(-14) and (-321)/60 - (-30)/75?
140
Let t(x) = 2*x + 1. Let b(m) = 2*m. Let a(n) = -6*b(n) + 4*t(n). Let g = 0 + 2. What is the lowest common multiple of a(-3) and g?
16
Let c = -26722/7083 - 4/787. Find the common denominator of c and ((-2)/30)/((-2)/142).
45
Suppose h - 10 - 10 = 0. Let u = 2 - -8. Calculate the least common multiple of h and u.
20
Suppose 2*t - 2*h = 8, -3*t = -5*h + 1 - 13. What is the common denominator of t/6*-1 - (-1012)/24 and 54/11?
22
Let j(y) = -y**3 - 10*y**2 - 11*y + 1. Let n be j(-9). Suppose -u = n - 55. What is the smallest common multiple of u and 32?
288
Let h = 3/85 + 10607/510. Find the common denominator of h and ((-1)/60)/((-12)/(-10)).
72
Let p = -132539 - -18025407/136. Calculate the common denominator of p and -97/12.
408
Let c be 4/(-26) + 1860/(-78). Let p(z) = -z**2 - 23*z + 25. Calculate the smallest common multiple of p(c) and 9.
9
Let i be 3 - (3 - 0)*344. Let n = i + 11287/11. Find the common denominator of n and 1 + (-5)/((-140)/184).
77
Let k = 209 - 207. Suppose -5*b + 8*b - k*w - 8 = 0, 4*b = -4*w + 44. Calculate the least common multiple of 1 + (0 + 0 - -5) and b.
6
Let q = 600771/292 - 8229/4. Find the common denominator of 31/8 and q.
584
Find the common denominator of (98/(-490))/(24/70) and -1*1 + 174/(-45).
60
Let x(t) = 2*t. Let k be x(5). Suppose 4*q - k = -q. Calculate the least common multiple of 8 and q.
8
Let y be (-1)/3*1*21. What is the common denominator of 3/(-8)*43/(-3) and 46/(-7)*y/(-14)?
56
Let k be (2/(-15))/(56/2058). Let u = -17/20 + k. Calculate the common denominator of u and (-1)/4 - 66/(-4).
4
Suppose 10*f = 9*f + 2. Suppose -2*w - 6 - 18 = -f*y, 4*y - w = 48. Calculate the smallest common multiple of 3 and (-22)/6*y/(-4).
33
Let x(d) = 93*d**2 - 2*d + 1. What is the lowest common multiple of x(-1) and 176?
1056
Suppose 5*o - 4*o - 18 = 0. Suppose -o = -4*i + 18. What is the lowest common multiple of i and 7?
63
Suppose w + 5*i - 13 = 5*w, 12 = -w + 3*i. Let n = w + 2. Suppose 5*h + 5 = 20. What is the least common multiple of n and h?
15
Let i = -79786/27 - -2956. Find the common denominator of i and -29/45.
135
Let t(g) = -2*g - 26. Let m be t(-13). Suppose m = 12*k - 13*k + 3. Calculate the least common multiple of 2 and k.
6
Suppose -2*p - 70 = 3*p. Let j = -10 - p. What is the least common multiple of (30/2)/(3/j) and 2?
20
Let z be (-12)/(-7) + 2/7. Let s(t) = -3*t + 21. Let d be s(6). Suppose -z*n - d*n = -70. What is the lowest common multiple of n and 16?
112
Let d(f) = 3 - 20*f**3 + f**2 - 5 - 118*f + 117*f. Calculate the smallest common multiple of (5/2)/(1/4) and d(-1).
20
Let c(z) = -4*z - 18. Let k be c(-5). Suppose 4*y = 4*l + k*y - 38, 44 = 4*l - 4*y. Let j = 15 + -5. Calculate the least common multiple of j and l.
40
Calculate the least common multiple of (112/(-98))/(6/(-21)) and 6.
12
Suppose 0 = -4*h + 27 + 53. Calculate the least common multiple of h and 36.
180
Let j = -1029/110 - -43/22. Let h = 1869 + -3827/2. Calculate the common denominator of h and j.
10
Calculate the common denominator of 71/160 and (42/600)/(5/(175/4)).
160
Let x(g) = -g - 10. Let m be x(-6). Suppose -t + 98 = 4*a, -3*t = -a - 0*t + 18. Calculate the least common multiple of -1 + -15*m/4 and a.
168
Let y be (-24)/(3 + -6) - -2. Let v be (1 - 77170)/(y/1). Let f = -7709 - v. What is the common denominator of f and 19/20?
20
Let t be (-27)/36 + (-12287)/(-588). Let l = -342/49 + t. Find the common denominator of l and 342/(-351)*(-45)/12.
78
Let g = -11748846 + 3089950794/263. Let b = -1/789 + g. Find the common denominator of 38/7 and b.
21
Let f = -6945896/411 + 16900. Let w = -30011/822 + f. Let j = -50183/10 - -5014. What is the common denominator of w and j?
10
Let b be 2/(-6) + (-1)/(-3). Suppose b = 2*w - 4*w + 8. What is the smallest common multiple of w - (-2 - -2) - 2 and 9?
18
Calculate the common denominator of 4/42*3*1236/96 and -47/42.
84
Find the common denominator of -39/14 and 4/14 + 107096/(-376992).
4284
Let v be (5 - 2) + -1 + -1. What is the common denominator of -67/9 a