). Let g = q + -55. What is the common denominator of 116/g*-1 - 1 and -5/6?
66
Suppose 12 + 6 = 3*y. Find the common denominator of (-5 + 3)*38/(-3) and (4/y)/(4/134).
3
Suppose -4*y - 254 = -4*a - 2*y, 107 = 2*a - 5*y. Let m = 84/275 + -4901/1100. Calculate the common denominator of m and -1 + (513/a - 2).
220
Suppose q + 22 = 3*l - 3*q, 0 = -5*q - 5. What is the common denominator of (-416)/(-24)*l/(-14) and -143/6?
42
Suppose -189 = 5*f - 509. Calculate the smallest common multiple of 14 and f.
448
Let p = 3 + -2. Let w(f) = -f. Let u be w(p). Find the common denominator of -14/5 and (u/12)/((-9)/708).
45
Suppose 0 = k - 26 + 18. Let z = -3 + 7. What is the lowest common multiple of k and z?
8
What is the common denominator of ((-45)/88)/((-9)/(-12)) and (-332)/(-64) + -4 + 2?
176
Suppose 0 = -5*g + d + 45, -2*g - 5*d - 33 = -3*g. What is the least common multiple of 6 and g?
24
Let h be (-2)/(12/2307)*2. Let j = h + 3095/4. Calculate the common denominator of -45/14 and j.
28
Let q be 1 + (-1 - (0 + -2)). Let b be (-5622)/(-322) - q/(-2). Let r = -280/23 + b. What is the common denominator of 3 and r?
7
Let a = -64 - -121/2. Let s(y) = -13*y - 2. Let v be s(-5). Let t = v - 36. Find the common denominator of a and t.
2
Let c(a) = -2*a - 18. Let f be c(-15). What is the common denominator of (-160)/f - (-3 + 1) and ((-44)/1)/((-5)/(-1))?
15
Suppose -3*q + 302 = -2*t - 396, -3*q = 12. Let c = t - -2137/6. Let r = c + -89/66. Find the common denominator of -17/7 and r.
77
What is the lowest common multiple of (5 - 3)*-1 - -24 and 6?
66
Suppose 2*d - 3 = -5*j + 3*d, -2*j = -d. What is the lowest common multiple of 12 and 8/((-14)/(-10) - j)?
60
Suppose 20 = 3*i + 2*i. Let h = -11 - -7. What is the smallest common multiple of (-38)/h - i/(-8) and 22?
110
Let r = -126 - -136. Calculate the smallest common multiple of r and 14.
70
Suppose -2*a = 4*s + 36, 0 = s - 2 - 1. Let r = a + 9. What is the common denominator of 143/18 and (-2 + 696/r)/8?
180
Suppose 115 = -0*m - 5*m. What is the common denominator of 13 and m?
1
Let g(z) = z**2 - 17*z + 6. Let h be g(7). Let o = -31 - h. Suppose -105 + o = -4*q. Calculate the smallest common multiple of 16 and q.
144
What is the least common multiple of 6 and 0 - (1 - (2 - -1))?
6
Let p(u) = 15*u**2 + 2*u**3 - 14*u**2 - u**3. Let z be p(2). What is the common denominator of 69/10 and ((-26)/z)/(16/(-42))?
80
What is the smallest common multiple of (5/10)/((-2)/(-24)) and 18?
18
Let l = 65922 + -399816931/6065. Let f = l + -418469/97040. Calculate the common denominator of -33/4 and f.
16
Suppose 0 = 2*g - 7 - 13. Calculate the smallest common multiple of (-2)/4*-18 + 1 and g.
10
Let m = 34/409 - -15273/17996. Calculate the common denominator of m and -47/20.
220
Let p = 10/997 - 101077/37886. What is the common denominator of -65/12 and p?
228
Suppose -7*m = -2*m - 55. Calculate the least common multiple of 10 and m.
110
Suppose 0 = 5*z - 19 - 1. Let p = 23047/6 - 3859. Calculate the common denominator of p and z/(-14) + (-45)/(-280).
24
Let q be (-1 + 2)*(-3 + 2). Let f be (3/(-4))/(q/8). Calculate the common denominator of 9/8 and f/(-45)*(1 - -4).
24
Suppose 5*f + 53 + 22 = 0. Calculate the common denominator of (-84)/f*(-10)/11 and -55/9.
99
Let c be 6*((-350)/3 + 1). Let l = 2059/3 + c. Calculate the common denominator of l and (1 - -1) + 144/15.
15
Let w be 3/9 - (-478783)/42. Let q = 11394 - w. Find the common denominator of -149/12 and q.
84
Let b = -3 + -9. Calculate the lowest common multiple of 3/((-9)/b) - -2 and 2/8 - 7/(-4).
6
Let r(f) = f**2 + f + 4. Calculate the least common multiple of 2 and r(-4).
16
Let v(m) be the first derivative of -3*m**5/40 - m**3/3 - 3. Let s(h) be the third derivative of v(h). What is the lowest common multiple of 6 and s(-1)?
18
Suppose n - j + 23 = 4*j, -180 = 4*n + 2*j. Calculate the common denominator of -58/5 and n.
5
Let c = 107 + -101. What is the least common multiple of 22 and c?
66
Let p = -1053/2 + 600. Let s = p + -1005/14. What is the common denominator of s and -3/11?
77
Let q = -13043/746 + -6/373. What is the common denominator of -1*1*(-258)/(-12) and q?
2
Let l = 6121/4 - 1542. Calculate the common denominator of -1*2 + (-98)/8 and l.
4
Let v = 4 + 10. Calculate the common denominator of v and 5.
1
Let o = -79457/16 + 4964. Find the common denominator of o and -117/20.
80
Suppose 5*p + 45 = 5*i, 0*i + 5*i = -5*p + 45. Let k = 2 - 0. What is the smallest common multiple of k and i?
18
Suppose 3*w - 13 = -1. What is the smallest common multiple of 11*(1 + -1 + 1) and w?
44
Let x(q) = 2*q**2 - 4*q - 1. Let w be x(3). Suppose -24 = -w*s + 21. Calculate the least common multiple of (-10)/(-20)*(17 + 1) and s.
9
Suppose 2*k - 2 = 3*q, -3*k - 5*q + 4 - 1 = 0. Let g(m) = -17*m**3 + m**2 - m - 1. Calculate the smallest common multiple of 4 - (k - 4) - -3 and g(-1).
90
Suppose 22 + 18 = 2*q - a, 4*q + 5*a = 108. Let l = 36 - 24. Calculate the lowest common multiple of l and q.
132
Let u = 18854 - 377159/20. Calculate the common denominator of u and 97/14.
140
Suppose u = -5*v - 199, -7*u + 2*u = v + 1091. Let k be -9*(1 + 10/6). What is the common denominator of 4/(-3)*u/k and -19?
6
Let z = 177 - 155. What is the least common multiple of z and 26?
286
Let s = 12/289 - 15483/17918. Calculate the common denominator of s and -85/18.
558
Find the common denominator of (-12)/(-10)*350/(-165) and 46.
11
Let m = -118155/16 + 7387. Calculate the common denominator of m and 33/10.
80
Let b(c) = -c**2 + 7*c. Suppose -j + 4 = -0*j - w, -14 = -5*j + 2*w. Calculate the smallest common multiple of j and b(6).
6
Let o be (-2)/9 + 519/27. Suppose -5*y + 7*m = 4*m - 32, -5*m = 2*y - o. Let q(u) = -3*u + 2. What is the lowest common multiple of q(-2) and y?
56
Suppose 4*r - 2 = 18. Let d = -6 - -33. Suppose -r*b + d = -18. What is the lowest common multiple of b and 1?
9
Let y = 20 - 17. Suppose 7 = y*d - 2. Calculate the smallest common multiple of d and 8.
24
Suppose -h - 13 + 19 = 0. What is the lowest common multiple of h and 6?
6
Let x = 1137/7 + -9579/56. Let h = -181/18 - -11/36. What is the common denominator of x and h?
8
Suppose -m - 38 = -4*h, -3*h - h + 36 = -2*m. What is the smallest common multiple of h and 4?
20
Let x = -25 - -5. Suppose -g - 9 = 1. Let k = g - x. Calculate the least common multiple of 10 and k.
10
Let p be (4/(-10))/(9/(-585)). Let m = p - 19. Suppose 10 = 4*z + v, 5*z + 4 = -2*v + 18. What is the lowest common multiple of m and z?
14
Let y(s) = -7*s**2 - 15*s + 2. Let c(f) = -11*f**2 - 22*f + 3. Let x(u) = -5*c(u) + 8*y(u). Calculate the smallest common multiple of x(-7) and 12.
132
Let t be -3*(-2)/6*28. Suppose -4*h = -0*h - t. Calculate the least common multiple of h and 3.
21
Let y be -1*(0 - -3) - -1. Let p = -134/3 - -45. Find the common denominator of p and 2 - (154/4 - y).
6
Let c be ((-47)/43 - -1)/(-34). Let b = c - -38733/3655. What is the common denominator of -45/4 and b?
20
Suppose 6*r = -21 + 153. Calculate the smallest common multiple of 78 and r.
858
Let j = 8 - 0. Let b(t) = t**3 + 15*t**2 + 10*t - 46. Calculate the smallest common multiple of b(-14) and j.
40
Let f = 13 + -13. Calculate the common denominator of 10/6 + (-1)/(-2) and 0 + f + 5/10.
6
Let w = -1021/3 + 10117/30. Calculate the common denominator of w and 53/6.
30
Suppose 4*i + 2*q = -0*q + 22, 0 = 4*q - 4. Calculate the least common multiple of 7 and i.
35
Let y = 3783/2 - 1941. Find the common denominator of -8 - -6 - (-20)/(-14) and y.
14
Suppose 4*m = -4*v - 0*m + 44, 4*m + 46 = 5*v. Suppose 0 = -b - 1 + 6. What is the smallest common multiple of v and b?
10
Let i = 8539 + -4824. Let g = i - 22391/6. Find the common denominator of -15/11 and g.
66
Let z = -5 - -7. Suppose -z*o = 2*o - 28. Calculate the lowest common multiple of o and 1.
7
Suppose b + 30 = 4*z, -4*z - 4*b = -5*z. What is the smallest common multiple of z and 2?
8
What is the common denominator of -105/22 and ((-237)/(-66))/(2 - 1)?
22
Suppose 0 = -0*o + 2*o - 20. Calculate the smallest common multiple of 8 and o.
40
Let f(d) = -d**2 - 12*d + 12. Let q be f(-10). Let h = q - 17. Suppose 0 = -4*s - 3 + h. What is the smallest common multiple of s and 5?
15
Let k(y) = -6*y + 1. Let q b