413194/1443 - 7096/3. Let q = -30351/3848 + x. Calculate the common denominator of -14/5 and q.
40
Let u be -3 - 6 - (0 + -2). Let b(h) = h**2 + 7*h + 3. What is the least common multiple of b(u) and 13?
39
Let r = 2 + -2. Suppose -80 = -4*i - 0*n + 4*n, r = -3*n. Calculate the smallest common multiple of i and 20.
20
Let p = 972 + -9699/10. Find the common denominator of p and 13/18.
90
Suppose 0 = a + 3*a + 20. Let o = -9 - a. What is the common denominator of 8/o + 39/(-4) and 40/9?
36
Let q be (279/15)/((-22)/(-10)). Let l = q + -481/66. What is the common denominator of l and (-303)/(-4)*4/6?
6
Let u(b) = 7*b - 19. What is the common denominator of -42/11 and u(7)?
11
Let s be 2/8 + (-4542)/24. Let f = s - -401/2. Calculate the common denominator of 7/22 and f.
22
Calculate the lowest common multiple of 1185/45 - ((-10)/6 - -1) and 24.
216
Let r = -1251/5 - -257. Find the common denominator of r and -35/3.
15
Let k(i) = i**3 + 7*i**2 + 5*i - 5. Calculate the least common multiple of 1 and k(-5).
20
Suppose -60 = -5*j - 5*f, f = 4 + 1. Let k = 2 - 2. Let c = j - k. What is the lowest common multiple of c and 6?
42
Let j(u) = 2*u - 2 - 2 - 2 + 4. Calculate the smallest common multiple of 4 and j(6).
20
Suppose -26*x = -22*x - 40. What is the lowest common multiple of 6 and x?
30
Let d(u) be the first derivative of 10*u**3/3 - u**2/2 - u + 1. Calculate the smallest common multiple of d(-1) and 2.
10
Let b = 7 + -5. Calculate the common denominator of 2/(-5)*13/4 and 3/(42/(-40)) + b.
70
Let v = 54 + -441/8. Let h = 806 + -4847/6. Calculate the common denominator of v and h.
24
Let v(g) = g + 2. Suppose -p - 6 = -14. What is the lowest common multiple of p and v(6)?
8
Let m be (-4 - 0)/(-4) + 1. Suppose m*r + 6 = 4*r. Suppose 0*k = 3*k - 30. What is the smallest common multiple of k and r?
30
Let l = -13021 - -286529/22. Find the common denominator of 3/4 and l.
44
Let d(z) = -z**2 - 15*z + 4. Let c be d(-14). Let n = 21 - c. Let g = 2 + -1. Calculate the lowest common multiple of n and g.
3
Let y(m) = -m**3 + 5*m**2 - 2*m - 5. What is the least common multiple of y(4) and 9?
9
Let f be (-12)/(-1 + 4) + 0. Calculate the common denominator of (f - -1) + (-188)/(-24) and -1 + 0 + (-38)/(-16).
24
Suppose 9*w - 6*w - 3 = 0. Calculate the lowest common multiple of (1/2)/(1/8) and w.
4
Find the common denominator of 35/8 and (-114)/(-20) - (-2 - 0).
40
Let z(i) = -i**2 - 11*i - 6. Let g be z(-4). Let f be 1*(0 + 1)*g. Suppose 0 = -4*y + 102 - f. Calculate the lowest common multiple of 22 and y.
220
Let o = 44494/10745 + 3/1535. Let s = 1169 + -7195/6. Let w = s + 661/24. Find the common denominator of o and w.
56
Suppose 2*h + 3*k = -4 + 13, 4*h = 4*k + 68. Calculate the lowest common multiple of 2 and h.
12
Let b(g) = g**3 - 4*g**2 - 4*g - 1. Let k be b(5). Suppose -k*j + 0*j = -20. Calculate the smallest common multiple of 7 and j.
35
Let t = -188/231 + -2/21. Find the common denominator of 44/9 and t.
99
Let r = -460187/130002 + 208/461. Let k = 12/47 + r. Calculate the common denominator of -47/12 and k.
12
Let f = 459 + -4198/9. What is the common denominator of 12/17 and f?
153
Suppose -4*k - h - 4*h + 17 = 0, -4*h = k - 7. Suppose -3*d = -k*s + 3, 6*s - d = s + 13. Calculate the smallest common multiple of s and 11.
33
Let r = 35 + -25. What is the smallest common multiple of 10 and r?
10
Let o be ((-6)/4)/((-3)/6). Suppose -12 = q - o*q. Calculate the lowest common multiple of 16 and q.
48
Suppose -2*x = -6*x + 5*v + 8, 2*v + 4 = 2*x. What is the common denominator of x - 86*3/(-60) and 17/2?
10
Let q = 1 - 3. Calculate the common denominator of q/(-7) - 863/(-42) and 65/16.
48
Suppose g = 2*g - 44. Find the common denominator of 113/6 and (8 - 5) + 30/g.
66
Suppose 0 = 5*t - k - 49, -t + 27 = 2*t - 3*k. Calculate the least common multiple of t and 44.
220
Suppose 20 = 2*t - 16. Let x(b) = 5*b**2 + b. What is the lowest common multiple of t and x(-2)?
18
Let a(r) = r**2 - 6*r - 3. What is the lowest common multiple of a(7) and 38?
76
Suppose 0*r - 57 = -2*y + r, 88 = 3*y - 4*r. What is the common denominator of 12/7 and y?
7
Suppose 0 = -3*t + 8*t - 45. Let u(x) = x**3 - 3*x**2 - 5*x + 5. Calculate the least common multiple of t and u(4).
9
Let w be 11 - 0/(3/(-1)). Suppose 0 = -3*u + 2*g + 31, 3*u - 5*g = w + 26. Let q(h) = 2*h**2 - h + 1. What is the lowest common multiple of u and q(1)?
18
Suppose 0 = 2*a + f + 15, 0 = -4*a - 5*f - 12 - 33. Let w(o) = o**3 + 4*o**2 - 5*o + 6. Calculate the lowest common multiple of 6 and w(a).
6
Let n be (-59)/(-2) + (-2)/(-4). Suppose -4*f - 2*k = -n, f + k = 7 - 0. What is the smallest common multiple of 4 and f?
8
Let h be ((-72)/(-15))/((-2)/(-10)). What is the common denominator of 53/4 and 1 - ((-244)/h - 3)?
12
Let w be 5/(550/(-11692)) + 0. Let u = 516/5 + w. Let s = -2/223 - 1093/2453. Find the common denominator of s and u.
11
Let t = -12852294 - -10294688909/801. Let m = -1/89 - t. Calculate the common denominator of m and 83/6.
18
Let j be ((-2)/11240)/((-2)/19148). Let y be 1390/(-4215) - 1/(-3). Let h = j - y. Find the common denominator of h and 33/16.
80
Let x = -16 - -16. Suppose 4*j + 18 = -g - x, -5*g + 25 = -3*j. What is the lowest common multiple of 10 and g?
10
Let w = 7 + -5. Calculate the least common multiple of w and 2.
2
Suppose -k = 5*y - 2*y - 18, -3*k - 4*y = -69. Calculate the common denominator of (-6)/k - 128/18 and 46/7.
21
What is the smallest common multiple of 9 and 5/(-4)*(-4 + -4 + 0)?
90
Suppose 3*t = 5 - 2. Calculate the smallest common multiple of (0 - t)/(6/(-24)) and 30.
60
Let b(d) = -5 + 3*d + 0 + d - 5*d. Let j be b(-4). Calculate the least common multiple of 12 and (31 + -2 - 2) + j.
156
Suppose -2*o + 7705 - 1891 = 0. Let d = o - 29041/10. Calculate the common denominator of d and 31/16.
80
Let z(g) = -2 - 1 - 4 + g. Let f be z(6). Find the common denominator of -35/8 and 0 - (155/(-6) - f).
24
Let c(n) = n**2 - 13*n + 7. Calculate the least common multiple of 9 and c(13).
63
Let n(r) = 6*r**2 + 3*r - 3. Let d = 11 - 3. What is the lowest common multiple of n(-3) and d?
168
Let v(y) = y**3 + y - 2. Let r be v(0). Let s = r - -3. Calculate the common denominator of 91/22 and 53/18 + s/(-1).
198
Suppose -2*m - 2*c = 0, -4 = -m - c - 4*c. Let u(y) = -2*y - 5. Calculate the least common multiple of (m + 3)/((-5)/(-15)) and u(-6).
42
Let h(x) = -2*x + 2. Let p(c) = -c**3 + 10*c**2 + 9*c + 13. Let o be p(11). Calculate the smallest common multiple of 12 - o/(-3)*1 and h(-3).
72
Suppose 30 + 2 = 4*w. What is the lowest common multiple of 16 and w?
16
Suppose -4*x = 53 - 221. What is the common denominator of 48*(-4 + 164/x) and -3/10?
70
Let y = 2/19362655333 + -862443095563393/17077862003706. Let z = y - -2/3087. Let j = -1528 + 15381/10. Find the common denominator of j and z.
10
Suppose -2*a + 20 = -a. Let j = -10 + a. Suppose r - 24 = -3*r. What is the smallest common multiple of r and j?
30
Let v = -4 + 8. Suppose -v*n + 17 = -4*u + 1, 0 = -n + 5*u - 16. What is the lowest common multiple of 4 and n?
36
Suppose 4*n - j = 22 + 24, -3*j = 4*n - 54. Let d = -2 + 8. Let b = n - d. Calculate the least common multiple of b and 9.
18
Let s(p) = -p - 2. Let o be s(9). Find the common denominator of 7/7 - (-54)/o and 1/(((-12)/98)/(-1)).
66
Let h = -78 - -98. What is the least common multiple of 30 and h?
60
Let x = -4094 - -118740/29. Let r = -1114/145 + x. What is the common denominator of r and 18/11?
55
Let n = 28549/15936 - -1/5312. What is the common denominator of n and 67/18?
72
Let y = 37293407/12 + -3094605. Let p = 13189 - y. Find the common denominator of p and 23/20.
60
Let k = 320215/18 + -17797. What is the common denominator of -13/7 and k?
126
Suppose 3*k + 2 = 4*k, 24 = 5*f + 2*k. Suppose 0 = -l + 2*l - 4*u + 19, 0 = -f*l - 3*u - 57. What is the lowest common multiple of 2 and l/6*(-18)/15?
6
Suppose 4*f - n + 0*n = 0, 0 = 4*n - 16. Let c(k) = k**2 - 2. Let p be c(-3). What is the lowest common multiple of 2/p - (-33)/7 and f?
5
Calculate the common denominator of (-106)/36 + 2/4 and 37/8.
72
Find the common denominator of 8/12*3/(-12) and 59/22.
66
Let g = 2 + -2. Suppose 2*d = -5*u + 24, 4*d + u - 3*u = g. Calculate the common denominator of 