of g and 0 + -1 + 6 + 2.
7
What is the common denominator of 53/18 and (-459)/90 + 2/(-2) + 0?
90
Suppose 0 = 3*m - d + 1, -5*d = -5*m - 15. Let y be (-1)/(m/(3 - 5)). Suppose 0 = y*r - 4*r + 4. Calculate the smallest common multiple of r and 6.
6
Let s = 124 - 106. Suppose l - 9 = -5*z, 4*z - 2*l - 3 = -7*l. Calculate the smallest common multiple of z and s.
18
Let u be 9/(-6) - 1350/(-4). Suppose -y + u = y. Calculate the smallest common multiple of 3 and (-2)/9 + y/27.
6
Suppose 0*q + 7*q - 7 = 0. What is the least common multiple of q and 3?
3
Suppose -2*k = 5*k - 63. What is the least common multiple of k and 10?
90
Suppose 0 = 4*d - 8 + 4. Let r be (7 - d)*6/12. Suppose -5*q = -2*l + r, 0 = -2*l - 4*q - 10 + 40. Calculate the least common multiple of 7 and l.
63
Calculate the common denominator of 53/4 and (-2)/16 - (-2)/8.
8
Let k(a) = a**2 + 6*a + 2. Let t be k(-6). Let c = 5 - t. What is the least common multiple of c and 7?
21
Let c = 74 + -70. What is the least common multiple of c and 24?
24
Suppose -4*b + 7*b = -4*g - 35, 20 = -b - 3*g. Let f(n) = -6*n - 5. Find the common denominator of 30/(33/9*3) and f(b).
11
Calculate the common denominator of 39/16 and 60/(-22) + -2 - 0/2.
176
Suppose 4*q - 5*m = 83, 4*m = q + 2*q - 62. Calculate the smallest common multiple of 16 and q.
176
Let o be ((-1)/1 + 0)*0. Suppose -2*u + 12 + 8 = o. Find the common denominator of ((-66)/(-10))/(8/u) and -37/16.
16
Let w = 1 + -1. Suppose -4*y + 52 = -4*d, 4*d = y - w*d - 10. Calculate the lowest common multiple of y and ((-18)/(-7))/(9/42).
84
Let j(t) = -2*t**3 - 5*t**2 + t - 1. Suppose 4*c - o = 12 - 29, -7 = c - 3*o. Find the common denominator of j(c) and ((-6)/(-16))/3 - 0.
8
Let x be -7 + 15 + (-5 - -1). Suppose -7*r = -x - 66. What is the smallest common multiple of 48 and r?
240
Let i = -4089/56 - -484/7. Calculate the common denominator of 0 + (-1 - 41/(-3)) and i.
24
Let c = 9 + -11. Let p be (-2 - -3) + (-6)/c. Suppose -4*g = 3*x - 0*x - 31, p*g - 3*x = 1. Calculate the least common multiple of 7 and g.
28
Let v(k) = k**3 + 7*k**2 + 5*k - 4. Let t be v(-6). Suppose 3*x - t*x = 3. What is the lowest common multiple of 14 and 2/x*-3 + 22?
140
Calculate the lowest common multiple of 10 and ((-54)/(-15))/(4/20).
90
Let m = 21193/10 + -2117. Let c = -114 - -21. Calculate the common denominator of (-1 + -3)*c/8 and m.
10
Let g = -10 - -14. Suppose 7 + 5 = g*k. Calculate the lowest common multiple of k and 10.
30
Let q = 8 - 1. Let x(t) = -t**2 + 6*t + 2. Let g be x(3). Suppose 3*h + 2*b = 3*b + g, 2 = -4*h - 2*b. Calculate the lowest common multiple of h and q.
14
Suppose -3*p = -p + 2*t + 16, -2*p - 4 = 5*t. Let k = 20 + p. Suppose -3*g = 2*g - 10. Calculate the lowest common multiple of g and k.
8
Let p be 4/10 + 26/10. Suppose 0*i = -3*i + 159. Suppose 0 = 4*r + p*b - i, -3*r + 24 = -r + 4*b. What is the smallest common multiple of 18 and r?
126
Calculate the common denominator of 273/24 - (-2)/(4 + -12) and -27/32.
32
Let q = 52 + -42. Calculate the lowest common multiple of 16 and q.
80
Let g = -659 - -1359/2. What is the common denominator of g and -2/3?
6
Let c be (-6)/(-2) + 1/1. Let x(o) = -o**2 + o + 2. Let z(f) = f**2 - 1. Let s(q) = c*z(q) + 3*x(q). What is the smallest common multiple of 18 and s(-6)?
180
Let z = -1390089/38 + 36579. Calculate the common denominator of z and -3*(-12)/(-180)*(-730)/(-24).
228
Let d = 5/28 + -159/28. Let o be -2 - (2 - 106/12). Let x = d + o. Find the common denominator of -33/8 and x.
24
Let z(k) = -k**3 - 14*k**2 + 51*k + 16. Calculate the lowest common multiple of 292 and z(-17).
1168
Let s = 5 - 3. Let h(x) = x**2 + 10*x + 42. Calculate the lowest common multiple of s and h(-5).
34
Let w = -1 + 2. Suppose 2*g - 102 = -4*g. Suppose g*n - 7 = 16*n. Calculate the lowest common multiple of n and w.
7
Calculate the least common multiple of 9 and ((-3)/(-9))/(7/462).
198
Let i(j) = -35*j + 1. Calculate the least common multiple of i(-1) and 9.
36
Let s = 2/3343 + 190541/16715. Suppose 0 = 2*q + 2*q + 3536. Let d = q - -8857/10. Find the common denominator of d and s.
10
Let x(i) = 2*i**2 - 5*i + 7. Suppose -2*w - w + 33 = 0. What is the smallest common multiple of x(3) and w?
110
Calculate the common denominator of 75/8 and (5/9)/((-8)/60).
24
Suppose 12 = -4*j, -2*j = -2*u - 7*j - 21. Find the common denominator of -40/3 and (12/(-56))/(u/4).
21
Let h = -27038 + 648779/24. Find the common denominator of h and -17/4.
24
Let q = 65 + -44. Calculate the smallest common multiple of 21 and q.
21
Let j(n) = -2*n**3 - n**2 + 1. Let r be j(-2). Suppose 4*l - 12 + 0 = 0. Suppose 2*b - r = -l. What is the lowest common multiple of b and 4?
20
Let v(n) = n**3 - 8*n**2 - n + 9. Let h be v(8). Find the common denominator of h*2/((-84)/(-57)) and -89/22.
154
Let v = -24133/30 - -2449/3. Find the common denominator of -36 and v.
10
Let y(s) = 24*s**3 - 4*s**2 - 2*s - 4. Let t be y(4). Let f = t + -20409/14. What is the common denominator of 47/10 and f?
70
Let r = 6 - -10. What is the lowest common multiple of 14 and r?
112
Let g = 10213/762 + -30/127. Let o be (0 + -3)*102/6. Find the common denominator of 5/210*-2*o and g.
42
Let n = -6 + 7. Calculate the least common multiple of 18 and 10*((2 - 1) + n).
180
Let y = -1991 - -11891/6. Suppose -5 = 3*g - 4*g. Suppose -g*h = -h - 4*f + 32, 0 = -2*f - 8. Find the common denominator of h and y.
6
Let a(b) = 0*b + 4*b**2 - 6 - b**3 - 3*b + 10*b. Let o be a(5). Suppose 4*x - 35 = 5*k, o*x = x - k + 31. What is the smallest common multiple of 20 and x?
20
Let h = 62 + -44. Calculate the smallest common multiple of h and 30.
90
Suppose 2*s - 3*s - q = -3, -2*q - 42 = -4*s. Let t(g) = -g**2 + 4*g - 1. Let f = 5 - 2. Calculate the least common multiple of s and t(f).
8
Let y = -2/2915 - -14312/2915. Let g = -16301/8 - -2032. What is the common denominator of g and y?
88
Suppose 4*u = -u + 35. What is the smallest common multiple of u and 6?
42
Let q = 26333/12060 + -1/6030. What is the common denominator of q and -41/25?
300
Let d(y) = y + 4. Suppose -m - 1 = -7. Let x(b) = b**3 + 6*b**2 - b + 5. What is the smallest common multiple of d(m) and x(-6)?
110
Suppose -3*d + 20 = 4*y - d, y = d + 2. What is the lowest common multiple of 8 and y?
8
Let z be -12*((-1)/3 + 1). Let a = z + 14. Suppose a = 2*b + b. Calculate the lowest common multiple of 5 and b.
10
Suppose -2*i + 5*r = -44, -3*r + 1 = -5. Let g = -16/215 + 2338/215. What is the common denominator of (34/(-15))/((-6)/i) and g?
5
Let t = 6 + -2. Calculate the common denominator of 69/8 and (-90)/12 - t/2.
8
Suppose -3*d - 18 = -2*h, -4*h + 3 + 41 = -4*d. Calculate the smallest common multiple of h and 30.
30
Suppose 6*k = -2 + 56. What is the lowest common multiple of k and 9?
9
Let y = -821 + 4939/6. Let d = -79/60 + 7/5. Calculate the common denominator of y and d.
12
Let q be (-97)/356 + 5/20. Let l = -4108/623 - q. Calculate the common denominator of -26/5 and l.
35
Suppose 58 = -5*i - 47. Find the common denominator of 39/2 and (21/14)/(i/(-11)).
14
Let c be -2*(-5)/((-10)/(-4)). Suppose -c*u - 55 = u. Calculate the least common multiple of 5 - (2 + u)/3 and 10.
40
Let x = 1 + 10. What is the lowest common multiple of (-8)/(-16) + ((-150)/4)/(-5) and x?
88
Let f(g) = g + 7. Suppose 0 = -5*d - 5*z - 30, -4*d - 12 = 2*z + 6. Calculate the smallest common multiple of f(7) and ((-44)/10)/(d/15).
154
What is the common denominator of (-2 - -1)*206/(-40) and 10/6 + 1/(-2)?
60
Let r = 11/102 - -2570/51. Find the common denominator of r and 45/38.
38
Let a = -228561825/22 + 10379941. Let i = 9231 + a. Let g = -24953/7 - -7119/2. Calculate the common denominator of i and g.
154
Let l = 64 - 89. Let x = -45 - l. Let v = -46/225 + -8533/450. Find the common denominator of v and x.
6
Suppose 4*v = v. Suppose -2*o + o = v. Suppose o = 2*s + 4*j - 36, -2*s - 2*s = -2*j - 82. Calculate the least common multiple of s and 14.
140
Suppose 3*v = 2*v + 10. Let a = -36 - -52. What is the least common multiple of v and a?
80
Let g = 11 + -6. Suppose 4*j - j = 3*h + 3, -5*h + 5 = -3*j. Calculate the lowest common multiple of j and g.
5
Let k(j) = -j. Let h = 6 - 11. What is the least common multiple of 17 and k(h)?
85
What is the c