ppose 0 = 2*b + 3*b - 160. Let d be (-2)/(-1)*(-39682)/b. Let q = d - -2473. Calculate the common denominator of q and 139/18.
72
Let b = 68 - 65. Calculate the least common multiple of b and 15.
15
Let w(y) = -3*y**2 - 4*y - 1. Let p(k) = -2*k**2 - 3*k - 1. Let i(o) = 5*p(o) - 4*w(o). What is the least common multiple of 8 and i(-2)?
40
Calculate the common denominator of -27/7 and 742/40 - 22/(-110).
28
Suppose 3*x - 4*z = 12, -z + 45 - 10 = 4*x. What is the smallest common multiple of x and 38?
152
Suppose 4*n = -f - 6, -2*n = 2*f - 0*f. Calculate the least common multiple of 8 and f.
8
Suppose -18 - 12 = -3*n. What is the smallest common multiple of n and 1/(-2) - 66/(-4)?
80
Let h(x) = 3*x**2 - 3*x - 2. What is the least common multiple of 6 and h(-1)?
12
Let m = 153899/6620 - -4/1655. Calculate the common denominator of m and -71/72.
72
Let s = 101 + 1211. Let y = 6499/5 - s. Find the common denominator of y and -145/6.
30
Let v = -4560241/10 - -461013. Let b = v + -4981. Find the common denominator of -15/7 and b.
70
Suppose 0*m = 3*m - 12. Suppose -m*x = 4, -2*x + 4 = 3*b - 48. Let q(l) = -l**3 - 11*l**2 + 13*l + 18. Calculate the least common multiple of b and q(-12).
18
Let c = -24 - -51. Let v(r) = 13*r**2 - 2*r - 1. Let s be v(2). Let z = s - c. Calculate the lowest common multiple of 8 and z.
40
Let u be ((-648)/28)/((-6)/28). Suppose 0*m + 2*m = u. What is the least common multiple of m and 18?
54
Let c be (-2)/4*(-2300)/6. Let a = c - 196. Find the common denominator of -79/4 and a.
12
Suppose -4 = -4*j + 2*j. Let f(k) = 5*k - 5. Calculate the least common multiple of f(5) and j.
20
Let k = 1711/3 + -588. Let r = -386/11 - -817/33. Calculate the common denominator of k and r.
3
Let n(m) = -m**3 + 5*m**2 + 3*m - 3. What is the smallest common multiple of n(5) and 4?
12
Suppose -2 = -w + 2. What is the least common multiple of ((-120)/18)/((-2)/6) and w?
20
Let a = 96580393/44 + -2194902. Let k = 423/4 - a. Let h = 4/1055 - -42164/9495. What is the common denominator of h and k?
99
Find the common denominator of 4/(120/(-134)) - (-2)/12 and 21/2.
10
Let z(a) = 2*a**2 + 3*a - 2. What is the smallest common multiple of 2 and z(-4)?
18
Let x = -40533009/707 + 57331. Let n be (-236522)/(-33936) - (-2)/3. Let j = n - x. Calculate the common denominator of -26/9 and j.
72
What is the common denominator of (9/(-48))/(6/292) and (-109)/10 + 7 + -7?
40
Let f = 66 + -46. Calculate the smallest common multiple of f and 18.
180
Calculate the common denominator of 45/77 and (-72)/(-33)*((-6)/(-2) - 2).
77
Let q = -38569/172 - -107/43. Let r = q + 208. Calculate the common denominator of -8/11 and r.
44
Suppose -3*n + 4*n - 12 = 0. What is the smallest common multiple of 10 and n?
60
Suppose 2*x = -3*z - 6, 5*x + z + 3 = 14. Suppose x = -3*y + 9, 4*u = -2*y - 8. Find the common denominator of -3 - u - 28/(-3) and 34/7.
21
Suppose -d - h - 166 = 4*d, 0 = -4*d - h - 133. Suppose -v - 2*v + 21 = 3*c, -5*c = -2*v - 70. What is the lowest common multiple of 2/4 - d/6 and c?
12
What is the common denominator of 93/7 + -2 - 5 and -38/7?
7
Let f(x) = 15*x - 1. Let k be f(2). Suppose -2*o + 3*o + 4*g = -6, -3*g = -o + k. What is the least common multiple of o and 14?
14
Let j(y) = 36*y**2 - 2. Calculate the lowest common multiple of 6 and j(-1).
102
Suppose -12*t = -11*t - 12. Suppose 0 = -2*a - 4*u, 4*u = -2*a + a - 4. Calculate the smallest common multiple of t and a.
12
Let m(c) = c**3 + 6*c**2 - 9*c - 5. Let x(u) = u**3 - 4*u**2 - 2*u + 1. Let a be x(4). Calculate the least common multiple of 5 and m(a).
45
Calculate the common denominator of 26/5 and ((-2)/(-66))/(1/21).
55
Suppose -4*t + 100 = 4*s, -3*t + 0*s + 60 = -2*s. Let x = t + -15. What is the lowest common multiple of 6 and x?
42
Suppose -3*l + 7 + 2 = 0. Suppose 3*p + 5*j = 54, j - l*j = 0. Suppose 3*u - 10 = 2*u. What is the least common multiple of u and p?
90
Let i(k) = 22*k**3 - k**2 + 1. Let m be 22/18 + 2/(-9). What is the least common multiple of i(m) and -20*(0 + -1)/2?
110
Suppose a = 6*a + 110. Let t = -38 - a. What is the common denominator of 18/t*2 + 0 and 37/4?
4
Suppose 2*n - 22 + 2 = 0. What is the smallest common multiple of 2 and n?
10
Let q be ((-175)/21)/(302/12). Let c = q - -8999/4832. Calculate the common denominator of 119/10 and c.
160
Suppose -3*s = 4*s - 49. What is the lowest common multiple of 83 and s?
581
Calculate the common denominator of ((-57)/(-4))/(21/(-12)) and 44/19.
133
Let k = -94 + 97. What is the least common multiple of 6 and k?
6
Let b = 179/6 - 33. Find the common denominator of 85/6 and b.
6
Let y = 24 + -21. Suppose -3*r - 3*h + 12 = -y, 4*h - 8 = -r. Calculate the smallest common multiple of 22 and r.
44
Let g be 6/1*2/3. Suppose -3*r + 1 = -g*r. Let i = r - 35. Calculate the common denominator of -6/5 and i.
5
Suppose -u = 4*u. Suppose u = -c - 3 + 8. What is the smallest common multiple of c and 8?
40
Suppose -3*f = -u + 6*u + 22, 3*f + 4*u + 20 = 0. Let y = -31 + 35. Calculate the common denominator of -77/2 and (-6)/f - (-102)/y.
2
Calculate the common denominator of (-2)/(-1) + 149/(-6) and (-3)/1 - 55/(-6).
6
Let d(i) = -i - 1. Let s be d(-6). Let p = s + 1. Calculate the smallest common multiple of (5 + -4 + 1)/((-2)/(-3)) and p.
6
Let x = -4 + 6. Let h = -4 - -2. What is the least common multiple of x and (h - -3)/((-2)/(-18))?
18
Let u = -832/11 + 14437/198. What is the common denominator of u and 37/2?
18
Let n(v) = -4*v**3 - v**2 + 2*v + 2. Let j be n(-1). Calculate the common denominator of 177*1/12 + j and 44.
4
Let m be (-6)/(-9) + 28/(-6). Calculate the common denominator of (m/(-42))/((-3)/99) and -31/10.
70
Suppose q = 5*r + 15, -4*q - 5*r = -4 - 6. Let f(o) = o. Let z(n) = n**3 - 19*n**2 - n + 21. What is the lowest common multiple of f(q) and z(19)?
10
Suppose -7 - 1 = -2*d. Let t = 30 + -24. Calculate the lowest common multiple of d and t.
12
What is the common denominator of 2/(-5) + 1564/(-240) and 7/33?
132
Suppose -2*b - 2*r = -3*b + 14, 0 = 3*b + 2*r - 82. Suppose -a = -4*a + b. Let u = 4 - 2. Calculate the smallest common multiple of u and a.
8
Let g be 801/(-108)*(1365 - -1). Let k = g + 10107. Find the common denominator of -49/18 and k.
18
Suppose -m = 8 - 1. Let p be (1/(-10))/(1/4414). Let w = 443 + p. Calculate the common denominator of m and w.
5
Let k = -143435917/14 - -10225397. Let l = -20053 - k. Let t = 300/7 + l. Find the common denominator of -101/2 and t.
2
Let j be (-2)/4*(-19 - -9). Suppose -k - 20 = -j*z - 4*k, 4*z - 16 = k. What is the smallest common multiple of z and 22?
44
Let s be ((-27)/6 - -2)*2. Let x = s + 7. Calculate the least common multiple of (-78)/(-8) + (-1)/(-4) and x.
10
Let o(h) be the first derivative of h**3/3 + 2*h**2 + 3*h + 2. Calculate the least common multiple of -25*(18/15)/(-3) and o(-5).
40
Suppose 5*a - 2*a = 4*w + 4, -w = -2*a + 6. Find the common denominator of (-1)/3*(-150)/4 and (-96)/33 + 0/w.
22
Let b(f) = -62*f - 1. Let h be b(-1). Let t = h + -35. What is the common denominator of -1 - (t/(-11))/(-2) and 25?
11
Let c be -3 + (-9 + 3)/3. Let x(n) = n**3 - 8*n**2 + 3*n - 1. Let d be x(4). What is the common denominator of -67/9 and d/28 - c/(-20)?
63
Calculate the common denominator of (-55)/7 - -1 - -1 and ((-1)/(-10))/(3/(-192)).
35
Let o = -5 - -10. Suppose o*l = l + 32. What is the smallest common multiple of 10 and l?
40
Let q(y) = y**3 - y - 2. What is the lowest common multiple of 2 and q(2)?
4
Let x = 3/134 + 771/1474. Let c = -71/110 + x. Find the common denominator of c and -111/22.
110
Let w = 1336 - 10621/8. Find the common denominator of w and 69/15*(-2)/(-4).
40
Let n be 0 - (6/(-2) + 1). Suppose 2*m + n*m = 420. Find the common denominator of 4 and (-3)/6 - m/(-8).
8
Suppose 0 = -5*v + 13 + 2. Let r(y) = -v*y**2 - 2*y**3 + 0*y**2 + y - 5 + y**3. What is the least common multiple of r(-4) and 3?
21
Let y = 132440038102 - 7577954099772837/57218. Let o = -2/28609 + y. What is the common denominator of o and 75/(-12) + (-2)/8?
14
Let u = -4811 - -96191/20. What is the common denominator of 121/20 and u?
20
Let k(l) = -l**3 + l**2 + 20. Let u be (-2 - 18)*(-8)/10. Suppose a - u = 4. Calculate the least common multiple of a and k(0).
20
Calculate t