of k and g.
126
Let u = 9 - 5. Suppose 4*w = u*m + 72, 4*m + 67 = 5*w - 25. Suppose -3*g + 2*x - 2 + 50 = 0, -4*x = 4*g - 64. What is the lowest common multiple of w and g?
80
Suppose 2*w = -2*w - 2*h + 218, 1 = h. Calculate the common denominator of (2/4)/(6/(-39)) and w/(-16)*(-14)/6.
8
Let o be (49/30)/(24/18). Let z = -503/120 - o. Find the common denominator of 45/74 and z.
444
Suppose -l - l + 3*f = 2507, 3*l + 3755 = -f. Calculate the common denominator of l/(-120) + 2/5 and ((-6)/4)/(27/(-11)).
18
Let n be (271/4)/(6/(-68)). Let p = 766 + n. Let h = 2/1681 - -35269/26896. Find the common denominator of h and p.
48
Let i(x) = 3*x**2 + x + 2. Let n be (4/3)/(2/3). Calculate the lowest common multiple of (-11)/(-4) - (-6)/(-8) and i(n).
16
Let q be (3622/1912)/(6/22). Let s = 16137 + -3856750/239. Let h = q + s. Calculate the common denominator of h and 81/4.
12
Let b be (-2)/((-2 - -4) + -1). What is the least common multiple of 1/(10/(-6) - b) and (14/(-6))/((-1)/3)?
21
Suppose 19*z - 13*z - 54 = 0. Calculate the smallest common multiple of 5 and z.
45
Let y = -3 + 6. Let z be 0/y - 314/(-4). Let f = z + -83. Calculate the common denominator of f and 16/5.
10
Let u = 4 + 2. Let o = 11 - 4. Calculate the smallest common multiple of u and o.
42
Let d(p) = 9*p**3 + p**2 - 1. Let i be d(1). Let c = -1 + i. What is the lowest common multiple of c and 7?
56
Calculate the least common multiple of (-35)/(-3) + -2 + 2/6 and 54.
270
Suppose -g = 1 - 5. Suppose 0 = 3*v - 4*j + 6, -2*j = g*v - 5*j + 1. What is the least common multiple of v and 2?
2
Let q = -299/12 - -13/6. Find the common denominator of q and -83/4.
4
Suppose -4*a = -0*a - 72. Let s = 11 + -3. Calculate the least common multiple of s and a.
72
What is the common denominator of 83/4 and 2/(-1) + (-72)/(-30)?
20
Suppose 4*v - 11 = r - v, -13 = 5*r - 4*v. Find the common denominator of 29/11 and r/(7/10) - -2.
77
Let r = -6 + 5. Calculate the common denominator of -71/4 and (222/(-20))/r - 0.
20
Let o = 452/29 + -7254/551. Calculate the common denominator of -31/5 and o.
95
Suppose 0 = -3*d + 5*r + 60, -4*d = -2*d - 3*r - 41. Let a = d - 76/3. What is the common denominator of 308/24 - 6/(-3) and a?
6
Suppose k - 19 = 21. Suppose -2*d + k = 3*d. What is the least common multiple of 10 and d?
40
Suppose -a = -w - 11, -w = -4*w + 3. What is the least common multiple of a and 8?
24
Suppose -4*p = -y - 13, y - 1 = 2*y. Suppose -3*x = 5*q - 21, -3*q + 2*x = 2*q - 36. Calculate the lowest common multiple of q and p.
6
Calculate the common denominator of (-131)/(-12) + 27/(-18) and -131/12.
12
Let m = 15 - 7. Calculate the common denominator of 26/5 and -1 - 3/(21/m).
35
Suppose 7*d - 4*d - 24 = 0. Calculate the lowest common multiple of 8 and d.
8
Let f = 915 + -2797/3. Let n = -10/127 - 221/2032. Find the common denominator of n and f.
48
Suppose 4*u = -0 + 8. Calculate the least common multiple of 14 and u.
14
Calculate the common denominator of ((-5)/(-135) + 0)*1/1 and 101/24.
216
Let q(g) = g**2 + 8*g - 20. What is the smallest common multiple of 20 and q(-12)?
140
Let u = 14/309 - 9677/2163. Calculate the common denominator of u and 65/4.
28
Let p = -5 + 8. Suppose p*b + 24 = -b. Let n(d) = -d**2 - 9*d - 2. Calculate the lowest common multiple of n(b) and 8.
16
Let o be 331/5 - 1/5. What is the common denominator of o/4 - (3 - 1) and 39/20?
20
Suppose -7*p + 720 = -3*p. Find the common denominator of 8/(-20) + (-478)/p and (-4)/(-22) - 1282/(-88).
36
Suppose -b + 5*z = -30, -z - 3 + 101 = 5*b. What is the smallest common multiple of b and 42?
420
Suppose -2*g = a - 11, 3*g - 12 = -g. Suppose a*m - 40 = m. Calculate the lowest common multiple of 14 and m.
70
Suppose 4*y - 2*n = 0, 7*y + 5*n = 4*y. Let v(u) = -u + 6. Let p be v(y). What is the common denominator of -89*3/p - -2 and 121/6?
6
Suppose 4*t + 138406 = -0*p - 2*p, 0 = 3*p - 4*t + 207659. Let x be 3*1*p/198. Let g = -1048 - x. What is the common denominator of 109/6 and g?
66
Suppose 5*i = 203 + 182. Suppose 5*q - 3 = i. What is the least common multiple of 10 - 4/(-12)*-6 and q?
16
Suppose -33 - 62 = 5*j. Let l = j + 27. Let g(n) = 3*n**3 - n**2. What is the lowest common multiple of g(1) and l?
8
Suppose 5*h = f - 24, -2*f + 4*h = -5*f + 34. Calculate the least common multiple of 4 and f.
28
Suppose -1 - 15 = -4*n. What is the least common multiple of n and 28?
28
Let t(g) = g**2 - 10*g + 3. Let q be t(9). Suppose -3*d + 19 = -5*p, -4*p = 5*d - 3*p - 41. Calculate the least common multiple of d and (-98)/q + (-1)/3.
16
Let d = 93/4 + -101/8. Calculate the common denominator of 79/60 and d.
120
Let t = -6 - 12. Calculate the common denominator of (-5)/4*28/t and (-123)/6 - (-1)/4.
36
Suppose -27 = -3*l - 0*l. Find the common denominator of 17/3 and (3/l - 1)*26.
3
Let a = 117 + -73. Let j = -221 - -387. What is the common denominator of j/a + (2 - 2) and 77/10?
110
What is the common denominator of (-10)/(-36)*1305/(-30) and -3/14?
84
Let w = -13431 - -9252. Let y = 16799/4 + w. Calculate the common denominator of y and -77/8.
8
Let s = -172231/21005 + -2/4201. Find the common denominator of 2/7 + 1074/112 and s.
40
Let n = -5819/6 + 976. Calculate the common denominator of 56/9 and n.
18
Suppose 6*z - 3*z - 6 = 0. Suppose 0*x - 2*x = z. Calculate the lowest common multiple of 16 + x/1 + 3 and 16.
144
Let w be (-84)/(-18) - 2/3. Suppose w*q - 3*q = 12. Calculate the least common multiple of 2 and q.
12
Let v = 8958 + -143379/16. Find the common denominator of 79/12 and v.
48
Suppose -2*u + 5 = -k, 4*u - 6*u - 4 = -4*k. Let q = k - 4. Let y(t) = 23*t**2 - t. What is the common denominator of y(q) and 24/11?
11
Suppose n - 3 = 4. Suppose -8*t = -10*t + 8. What is the smallest common multiple of t and n?
28
Let j = -12/677 + -53411/4062. Find the common denominator of -151/12 and j.
12
Suppose -3*k = p + 28, 5*p = -5*k + 3*p - 46. Find the common denominator of -81/4 and -3 + 1/(k/(-114)).
20
Let z be 0 + (1 - 2) - -1700. Suppose 3*b - z = 4*k + 13547, 0 = b + 2. Let j = 30463/8 + k. What is the common denominator of j and 17/3?
24
Suppose -j - j = 2, 4*l - j - 21 = 0. Suppose -198 = -l*p + 27. Calculate the smallest common multiple of 9 and p.
45
Suppose 2*o + 4 = 0, u + o - 2 - 8 = 0. Let h(c) = c**3 + 14*c**2 - 16*c - 5. Calculate the lowest common multiple of h(-15) and u.
60
Let k be 16/12 + 32/(-6). Calculate the smallest common multiple of 6 and 6*(0 + (-8)/k).
12
Let d = -1003/4 + 2923/12. Let j = -439 - 823/2. Let f = j - -882. Find the common denominator of f and d.
6
Suppose 0 = t - 3*t + 4. Let k = -1 + t. Calculate the common denominator of 47/10 and 97/(-14) - 1/k.
70
Let n = 6 + -2. Suppose 2*d - 2*z = 24, 0*d - 5*z - n = 2*d. Suppose -5*m = -4*v - 4 + d, -4*m = -v + 1. Calculate the smallest common multiple of 11 and v.
11
Suppose 18 = -5*u + 4*k, -3*u - 2 = -4*k + 4. Let s be (6951/18)/((-8)/u). Let b = 294 - s. What is the common denominator of b and 50/3?
24
Suppose 13 + 14 = 9*k. Let u(m) = -m + 10. What is the lowest common multiple of k and u(5)?
15
Suppose 0*c = 2*c + 2*t + 2, 3*c - 3*t = 21. Suppose -c*w + 49 - 7 = 0. Let g = 13 - 7. Calculate the least common multiple of g and w.
42
Let s = -385 + 1575/4. Find the common denominator of s and -5/4.
4
What is the least common multiple of -1 + -1 + -9 + 31 and 6?
60
Let g(v) = -2*v - 2. Let x be g(-3). Suppose 53 = m + 5*z - 0*z, -x*m = -5*z - 187. Let j = -26 + m. Calculate the smallest common multiple of j and 12.
132
Let o = -57 + 64. What is the least common multiple of o and 7?
7
Let s be 2*(2/(-4) + 2). Suppose 4*u = s*z - 11 - 25, -11 = -z + u. What is the least common multiple of (8/(-5))/((-10)/25) and z?
8
Let z(v) = -1 + 3*v**2 + v - 2*v**2 - v**2 + 16*v**3. Let c be z(2). Find the common denominator of (c/(-6))/((-9)/(-6)) and 101/2.
6
Suppose -2*z + 8*z = 12. Calculate the lowest common multiple of 4 and z.
4
Suppose -1 = 3*t - 7. Suppose 0 = -o - t*o + 3. Calculate the least common multiple of 10 and 1 - (-3 + o + -1).
20
What is the common denominator of 2/((-2)/3) + 223/24 and -47/24?
24
Find the common denominator of 230/12 + -2*1 and 26/3.
6
Let w = 24887/8464 - 3/1058. What is the common denominator of w and -47/20?
80
Suppose 0 = -