
Suppose q = 3*l + 78, 2*l - 424 = -4*q - q. Let k be (-1170)/q*682/(-3). Let b = k + -3160. Find the common denominator of -77/4 and b.
28
Let s(k) = 3*k**3 - 2*k**2 - k + 3. Let u be s(-2). Calculate the common denominator of -25/14 and (-9)/30*u/6.
140
Let d(v) = 3*v - 7. Suppose 4*b + 8 = 4*c, 8 = 2*c - 3*b + 2*b. Let k be d(c). What is the common denominator of (2 - (-43)/k) + -2 and -127/6?
66
Let k = -53 - -116. Suppose -2*m + 4*x + 38 = 0, 5*m - 2*x - k = -0*m. Let d = m + -10. What is the least common multiple of 1 and d?
1
What is the least common multiple of (-834)/(-30) + (-6)/(-5) + -1 and 8?
56
Suppose 4*i + 0 = 2*u + 2, 0 = 5*u + 5*i - 10. Let l(x) = 25*x. What is the common denominator of (-87)/((-2 - 2)/u) and l(1)?
4
Let l = 1/705468 - 1945504379/1410936. Let f = 1382 + l. Find the common denominator of 87/14 and f.
56
Let b = -62 - -78. Let r = 1 + -5. Let z(h) = -h**3 - 5*h**2 - 4*h + 2. Calculate the smallest common multiple of z(r) and b.
16
Let n(q) = -5*q + 5*q + 122*q**3 - 2*q**2. Let i be n(-2). Let m = i - -5867/6. Find the common denominator of -23 and m.
6
Let x be 0/(0 + -2 + 1). Suppose 3*u + x*s = -5*s + 33, -36 = -4*u - 4*s. Calculate the least common multiple of u and 4.
12
Let x(t) be the first derivative of -t**2/2 - 12*t + 2. Calculate the lowest common multiple of 8 and x(-14).
8
Let d = -95 + 54. Find the common denominator of -50/11 and d.
11
Let g = -2481 - -10017/4. Let i be (1 - (-420)/(-57)) + 2. Let w = i - -1277/114. Calculate the common denominator of g and w.
12
Calculate the common denominator of 67/10 and -2 + -2 + 37/8.
40
Let n be (2 + -1)*-3 + 5. Find the common denominator of -59/22 and n - (-1)/(6/(-213)).
22
Let w = -173 + 199. Calculate the smallest common multiple of w and 4.
52
Suppose 0 = -7*l + 3*l + 20. Find the common denominator of -99/10 and (-2)/l - 57/270.
90
Let y = 3/586 - -23927/19338. Find the common denominator of y and 86/21.
231
Suppose 3*i + 4*j - 40 = 0, -4*i + 11 = j - 64. Calculate the common denominator of -109/6 and (4 - 5)*(-74)/i.
30
Let y = -161542672317499/20524881470607 + 4/2319982081. Let m = 18/983 - y. Find the common denominator of 53/2 and m.
18
Let b(z) = -7*z + 1. Suppose -5*q - 32 = -9*q. Calculate the lowest common multiple of b(-1) and q.
8
Let f(z) = -z**2 + z + 4. Calculate the lowest common multiple of f(0) and 11.
44
Let o(k) = -k**3 + 3*k**2 + 4. Let h be o(3). Suppose 0*v + 3*v + 4*u - 21 = 0, h*v - 24 = -4*u. What is the lowest common multiple of 4 and v?
12
Suppose 3*w = -17 + 71. Suppose 0*a + 4*a - 40 = 0. Calculate the lowest common multiple of a and w.
90
Let v = 0 + 4. Let h(c) = c - 1. Let w(b) = 2*b - 1. Let u(i) = 3*h(i) - w(i). Calculate the smallest common multiple of 5 and u(v).
10
Let g = -8/37 + -2875/222. Find the common denominator of g and -24/11.
66
Let h be 314702/180 + (-4)/10. Let m = -1750 + h. Find the common denominator of m and (1/27)/((-6)/747).
18
Let b = 8615/9 - 952. Calculate the common denominator of -25/4 and b.
36
Let y = 63 + -34. Let w = y - 17. What is the least common multiple of 14 and w?
84
Suppose 2*d + 30 - 36 = 0. Calculate the least common multiple of 21 and d.
21
Suppose 14 = 5*t - 11. Calculate the least common multiple of 10 and t.
10
Let i be (-222)/(1/(-44)*-1). Let b = i - -117283/12. What is the common denominator of -22*(-2)/72 + -1 and b?
36
Suppose 0 = 2*j - 6. Let p be 316/(37/14 - j). Let z = -875 - p. What is the common denominator of -2/11 and z?
55
Let c = 93 - 84. Calculate the smallest common multiple of 3 and c.
9
Suppose -2*q - 4 = -2. Suppose 2*g - 4*l = 16 + 6, -5*g - 3*l = -42. Calculate the least common multiple of g and ((0 - 1) + -2)/q.
9
Let s = 11867/2 + -6087. Let o = s - -2425/16. What is the common denominator of o and -89/14?
112
Suppose -13 = -4*t + 3. Suppose -5*f - 2*l + 72 = -0*f, -3*f + 2*l = -40. Let c = f + -3. What is the least common multiple of t and c?
44
Suppose 0 = v - 3 + 2. Calculate the lowest common multiple of 11 and v.
11
Suppose 2*n = -2*n - 5*u - 14, -u = -2. Let b be (n/(-1))/((-4)/(-146)). Calculate the least common multiple of b/12 + 1/(-4) and 14.
126
Find the common denominator of -95/22 and (-8)/2 + 161/168.
264
Suppose 0 = -5*y + v + 7, 3*y + 4*v - 7 = 11. Suppose -2 - 2 = -y*b. Let d(i) = 11*i - 2. What is the lowest common multiple of b and d(2)?
20
Suppose 11 = a + 4*k, -5*a + 1 = -5*k - 4. Suppose 76 - 10 = a*x. What is the least common multiple of x and 10?
110
Let l be (-6)/(-4)*-2 - -7. Suppose -l*f = -f - 48. What is the smallest common multiple of 14 and f?
112
Let y = -15 + 7. Let n(k) = k**2 + 5*k - 19. Calculate the lowest common multiple of n(y) and 11.
55
Suppose -4*h = -2*p + 9826, 3*h + p + 2458 = 2*h. What is the common denominator of -26/3 and (2/12)/((-18)/h)?
12
Let l(j) = j**2 + 8. Let x be l(0). Suppose -23 = -5*z - x. Suppose 0 = -z*n + 1 + 2. What is the smallest common multiple of 3 and n?
3
What is the common denominator of (-565)/105 + 2 - -1 and -55/9?
63
Let d(s) = -s**2 + 8*s - 1. Let k be (2/(-4))/((-3)/42). What is the least common multiple of 18 and d(k)?
18
Let a be (1/(-2))/(2/(-4)). Let l = 5 - a. Suppose l*s + 23 = 3*d + 2*s, -4*d = s - 49. Calculate the smallest common multiple of d and 9.
99
Suppose 5*n = q + 745, n + 5*q - 236 = -61. Find the common denominator of ((-492)/(-200))/(2/5) and n/(-8) - 2/(-2).
20
Let i(h) = 2*h + h + 7 - 4*h. Let b be i(6). Find the common denominator of -18/5 and b/5*890/12.
30
Let x = 4315/8 + -541. Let j = 4 - -2. What is the common denominator of -74*(0 - (-1)/j) and x?
24
Let l = -45/8 - -7441/1320. Let m = l - 1267/165. Calculate the common denominator of (-2)/5 - 348/(-45) and m.
3
Let h = -5 + 9. Let n be 4*(-4)/8*1. Calculate the least common multiple of 12 and (-7 - -2)/(n/h).
60
Let h = -2 + 20. Suppose 5*v + 42 = -5*l - h, 0 = 3*v + 2*l + 38. Let x = v + 24. What is the lowest common multiple of x and 4?
20
Let n(u) = -u**3 + 7*u**2 - 6*u + 2. Calculate the least common multiple of 12 and n(4).
156
Let z(x) = x**3 + x - 8. Let n be z(0). Let s = n + 10. What is the smallest common multiple of s and 3?
6
Let z = -133/5 + 2951/110. Find the common denominator of 111/(-16) - -2 - -2 and z.
176
Let b = -3/1246 - -8013/1246. Let y = 83 - 505/6. Find the common denominator of b and y.
42
Let p(l) = -l**3 - 6*l**2 - 7*l - 1. Let a be (-1)/(2/(-2))*-5. Calculate the lowest common multiple of p(a) and 9.
9
Let r = -14997/844 + 4/211. Find the common denominator of r and 61/4.
4
Let r be 3/4*2483 + -2. Let u = r + -1851. What is the common denominator of u and 20/9?
36
Let t(y) = 2*y**3 + 8*y**2 + 4*y - 4. Suppose 0 = -6*k + 3*k - 2*z - 38, -5*k = -4*z + 100. What is the lowest common multiple of k/(0 + 2/(-2)) and t(-3)?
16
Let l = -16907/690 + 1/345. What is the common denominator of l and 67/18?
18
Calculate the common denominator of (-70)/(-294)*(-57)/2 and ((-38)/(-10))/((-36)/(-10)).
126
Suppose 0*o = -o + 10. Let c(a) = -a**3 + 11*a**2 - 10*a + 10. Suppose 3*m - 72 = -m. Calculate the lowest common multiple of c(o) and m.
90
Let l(t) = 51 + t**2 + 0*t**2 - 2*t**2 + t**3 - 2*t**3. Let x be l(0). Suppose -x + 15 = -4*v. Calculate the lowest common multiple of v and 7.
63
Calculate the common denominator of (-1)/(-6) - (-1885)/(-546) and -34.
7
Let f be -932 + 3 - 1*-2. Find the common denominator of (f/(-60))/(9/(-6)) and 9/8.
40
Let m be (90/(-243))/((-8)/(-186126)). Let i = -8610 - m. Calculate the common denominator of (-1154)/(-60) + (-2)/5 and i.
18
Let c(p) = p**3 - 6*p**2 + 7*p + 2. Suppose 3*b = 1 + 2, 0 = -4*n - 3*b + 15. Suppose 2 = -n*i + 17. Calculate the least common multiple of c(i) and 10.
60
Suppose -16 = 2*b + 4*x, 5*b - b + 2 = -2*x. Let n = b + 6. What is the smallest common multiple of n and 22?
88
Let u = 7 - -1. Let a(j) = -j**2 + 9*j - 7. Let t be a(u). Suppose -25 = -3*k - t. What is the smallest common multiple of 14 and k?
56
Let l = -397826 + 1576461/4. Let u = 3729 + l. Find the common denominator of 73/2 and u.
4
Suppose 5*h + t - 2*t = -5, 15 = 5*h - 5*t. Calculate the smallest common multiple of (4 - 4/2) + 7 and 56/7 + 4/h.
18
Suppose -s - 4 = -3*s. Let l = -23 - -27. Calculate the least common multiple of s and l.
4
Let n = -1 + 1