 -3 = -4*t + f. What is the smallest common multiple of 4 and t?
20
Let j = -3061/4 + 771. Calculate the common denominator of 32/43 and j.
172
Let q = 458149/18 - 25445. Let y = 21169/198 + -970/9. What is the common denominator of y and q?
198
Suppose h + 4*o - 65 - 3 = 0, -3*o + 159 = 3*h. Calculate the common denominator of h and 71/14.
14
Suppose 0 = 13*t + 2 - 314. What is the smallest common multiple of 10 and t?
120
Let p be 20/(-14)*10514/28. Let w = -540 - p. What is the common denominator of w and 48/5?
35
Suppose z - i = -4*z + 24, -4*i = 4*z. Suppose 2*j = -2*j + z. Calculate the lowest common multiple of 9 and j.
9
Suppose -4*b - g + 15 = 0, b - 5*b + 2*g = -6. Let f be -5 - -3 - (-1 - 2). Suppose w + w = l, -l - f = -b*w. What is the least common multiple of 4 and w?
4
Let t = 550555245761/2960 - 185998396. Let z = t - 51/185. Calculate the common denominator of 1/4 and z.
16
Suppose 0*d - 2*z = 5*d - 52, -4*z = -4*d + 64. Suppose -a = -0*a - d. What is the least common multiple of a and 152/7 - (-4)/14?
132
Let c(l) = l**3 - 14*l**2 - 15*l + 24. What is the least common multiple of c(15) and 21?
168
Suppose 5*d = 244 - 209. Calculate the smallest common multiple of 62 and d.
434
Let a = 2744434/681 - 4030. Let g = a + -70183/6810. Calculate the common denominator of 65/12 and g.
60
Suppose 0 = -9*b + 73 - 28. What is the smallest common multiple of 4 and b?
20
Let w = -23/7 + -73/14. Let n = -12372/3179 + -5/289. Find the common denominator of n and w.
22
Suppose -3*w + 4*q + 4 + 8 = 0, 4*q = 5*w - 28. Suppose -5*t - 3*s - 249 = 0, -124 = 3*t - s + 17. Calculate the smallest common multiple of w and 18/(-8)*t/9.
24
Suppose 4*n - 6*n = 56. Find the common denominator of 85/6 and n.
6
What is the common denominator of 17/12 and 508/504 + (3/1)/(-9)?
252
Let t(p) = -p**3 - 17*p**2 - 19*p - 40. Calculate the smallest common multiple of t(-16) and 22.
88
Let w = -5 - -7. Let f(u) = -7*u + 2. Let s be f(w). Calculate the common denominator of -8/5 and 153/s - (1 + -2).
20
Let k = -49073/10 + 4916. Calculate the common denominator of k and (-126)/12 + -1 + 0.
10
Let c(x) = -x**2 + 11*x - 17. Let n(d) = -d**2 + 11*d - 17. Let y(u) = 4*c(u) - 3*n(u). What is the smallest common multiple of 1 and y(7)?
11
Let r = 67939/11774 - -13/841. Let n = 502851/42344 + -2/5293. Find the common denominator of r and n.
56
Suppose -4*y = -6*y. Suppose w - 8 = -y*w. Calculate the lowest common multiple of w and 9.
72
Let i(s) = s + 6. Suppose 27 = 15*m - 6*m. What is the smallest common multiple of m and i(-5)?
3
Let i = -4 + 4. Suppose 2*t - 11 - 13 = i. Let r = t + -5. Calculate the least common multiple of 2 and r.
14
Let a(j) = -2*j - 1. Let r be a(-2). Suppose 0 = -n + r*n - 8. Suppose -2*s + 5*s + n*h = 34, -74 = -3*s + 4*h. What is the lowest common multiple of 20 and s?
180
Suppose 2*m + m - 10 = -2*w, -3*m + 3*w = 0. Calculate the smallest common multiple of m and (6/3)/(1/4).
8
Let z(j) be the third derivative of -j**6/120 + j**5/10 + 7*j**4/24 + j**3/6 + 3*j**2. What is the smallest common multiple of z(7) and 7?
7
Suppose r = -5 + 3. Let d = r + 10. Calculate the least common multiple of 10 and d.
40
Let t(q) = -q**2 - 4*q - 1. Let c be t(-6). Let m = c - -23. What is the least common multiple of m and 22?
110
Let g = 2 - -34. Suppose 0 = -3*z - 0*z + g. What is the least common multiple of z and 6?
12
Let f(r) = r**3 - 4*r**2 + 4*r - 4. Let x be f(5). Let l = x - 19. Let h = 31 + -17. What is the lowest common multiple of h and l?
154
Let s(t) = t**2 + 8*t. Let q be s(-8). Let b = 2 - q. Calculate the least common multiple of 8 and b.
8
Let b be ((-9)/9)/(2/(-6)). Calculate the common denominator of ((-255)/2 + 3)/b and 31/10.
10
Let u = -1/3460 - -47579/13840. Calculate the common denominator of -11/4 and u.
16
Suppose -f = 5*z - 182 - 93, -3*f = 5*z - 285. What is the smallest common multiple of 4 and z?
108
Let p = -32 - -38. Calculate the least common multiple of 3 and p.
6
Let c = 73/135 - 14387/1890. Let n be (1/4022)/(4/(-16)). Let r = n - -98547/8044. Calculate the common denominator of c and r.
28
Let r = -3 + 15. Suppose 5*m - r = 3*m. What is the lowest common multiple of 3 and m?
6
Calculate the least common multiple of ((-6)/2)/(-3) + 3 and 11.
44
Suppose a + 120 = 4*a + 2*g, -4*a - 3*g = -160. Let o = -22 + a. Let j(u) = -u**3 - 5*u**2 - u + 7. Calculate the smallest common multiple of o and j(-5).
36
What is the common denominator of (-1)/8 + (-489)/(-40) and -39?
10
Let n(x) be the second derivative of -x**3/6 - 2*x. Let r(i) = -i**3 - i**2 - i + 3. Calculate the smallest common multiple of r(0) and n(-2).
6
What is the common denominator of 25/12 and (-61)/(-14) - 0/2?
84
Suppose -4*h + 11 = 5*s, -s = -4*h + 2*s + 51. Let l be (0 + -3)*(-72)/(-27). Let t = 15 + l. Calculate the least common multiple of t and h.
63
Suppose -4*y + 7*y + 6 = 0. Let h be y - 2342/(-8) - -3. Let f = 311 - h. Find the common denominator of 33/4 and f.
4
Suppose 2553 = 3*u + m - 6*m, 0 = 5*u + 2*m - 4224. Suppose -5*v = -c - 881, 5*v - 4*c - u = 23. Calculate the common denominator of 40/7 and 8/6*v/36.
63
Suppose -7 = 3*b - 19. Let v = 2 + -2. Suppose 24 = 2*o - 0*o - 2*g, v = -4*o - 4*g + 16. Calculate the least common multiple of b and o.
8
Let a(s) = s**2 + 4*s + 4. Let x be a(-5). Suppose 3*r + x = 18. Calculate the smallest common multiple of 5 and r.
15
Let c = -18 + 43. Let i = -35 + c. What is the least common multiple of 20 and (-1)/(-2) + (-15)/i?
20
Suppose 3*j - 2*j - 12 = 0. Calculate the lowest common multiple of 22 and j.
132
Let t(n) = n + 2. Calculate the least common multiple of t(6) and ((-5)/(-3))/(-3 + 19/6).
40
Let k(f) = -3*f - 7. Suppose -8 - 13 = 3*i. Let y(q) = -3*q - 3. What is the smallest common multiple of k(-7) and y(i)?
126
Let l = -55471/14 - -3964. Suppose -2*n - 649 = 4*k - 3*n, -639 = 4*k + n. Let u = 599/4 + k. Calculate the common denominator of l and u.
28
Suppose 2*l = -3*l. Let c(t) = -t**2 + 9. Let y(a) = -a**2 - 4*a - 3. Calculate the lowest common multiple of c(l) and y(-2).
9
Let v = -494/9 - -54. Let q be (-3)/(-9) + 2879/3. Let m = q + -6682/7. Calculate the common denominator of v and m.
63
Let v = 3595/4 - 881. What is the common denominator of -109/10 and v?
20
Let d(y) = y**2 - 4*y - 1. Let c(l) = l**2 + 4*l. Let w be c(-5). Suppose 5*t = 4*t + 4*h + w, 3*h = 3*t + 3. What is the lowest common multiple of 6 and d(t)?
60
Calculate the common denominator of 82/(-12)*7/14 and -68/9.
36
Suppose 9*v - 14 - 148 = 0. Calculate the smallest common multiple of v and 18.
18
Let b be ((-2)/(-4) - -2)*2. Let z = -2909/4 + 735. Calculate the common denominator of (-2)/b*350/16 and z.
4
Suppose 4*c = c - 5*d + 363, 5*d + 15 = 0. What is the lowest common multiple of 22 and c?
1386
Suppose -4*r + 8 = g - 3*g, 3*g + 12 = 5*r. Suppose r = 4*i + 1 - 73. Let j(h) = h**3 - 9*h**2 - 9*h + 4. Calculate the smallest common multiple of j(10) and i.
126
Let h = -69365519/7 + 9933409. Let g = -24089 + h. Let r = g - -1052/35. Find the common denominator of r and -13/4.
20
Let n = -9480 + 170747/18. Find the common denominator of -31/36 and n.
36
Let c = -3/10613 - 1177983/212260. Let v = 1147/8 + -145. What is the common denominator of c and v?
40
Let t be (2 + -1060)/(4/3). Let z = t + 753. Find the common denominator of z and 23/6.
6
Calculate the least common multiple of -1*4 + 18 + -5 and 21.
63
Let z = -8 - -14. Let f(h) = h + 7. Let u be f(-5). Suppose -u*d + 6*d = 40. Calculate the lowest common multiple of z and d.
30
What is the least common multiple of 4 and 56/6 + 5/45*-3?
36
Let z(b) = b + 9. Suppose 0 = -3*g + 4*n - 5 + 2, -2*n = -5*g - 5. Let o(p) = -21*p**3 + 2*p + 1. What is the lowest common multiple of z(-5) and o(g)?
20
Let w(z) = 4*z**2. Let m(f) = -f**2 - 7*f + 2. Let i be m(-6). Let g = i + 0. Calculate the least common multiple of g and w(-1).
8
Let r = -22372/11569 + -1/1006. Calculate the common denominator of 51/2 and r.
46
Let b = 10 - 5. What is the least common multiple of b and 4?
20
Let j = 13 + -6. Suppose -3 = -5*n + j. What is the lowest common multiple of (-6)/(-9) - (-44)/6 and n?
8
Let h(k) = k**2 - 3*k + 5. Let s be h(4). Let v(q) = 3*q + 6. Let c = 1247 - 2561/2. Calculate the 