4. What is the least common multiple of s and u?
88
Let w be 3*(-3 + 3 + 1). Suppose w*d = -5*h + 70, -2*h - 2*d - d = -19. Let m = 2993 + -12033/4. Calculate the common denominator of h and m.
4
Suppose 0 = b - 7. Let u be (-12)/18 - 80/6. Calculate the smallest common multiple of 8 and ((-22)/4)/(b/u).
88
Let f be 0*(-1)/1 - -1. Let c be (6 - 12) + f + 0. Let s = c - -9. Calculate the least common multiple of 10 and s.
20
Let t = 391/18 - 17. What is the common denominator of t and 103/20?
180
Let c(l) = -l**3 - 10*l**2 + 12*l + 9. Let h be c(-11). What is the common denominator of 61/6 and (-4)/((-144)/(-267))*h?
6
Let m = 18 + -11. Let r be (m - 7)*(1 - 0). Suppose -4*y + 0 + 8 = r. What is the lowest common multiple of y and 8?
8
Let w be (-1)/(2 + 42/(-20)). Suppose -2*n - s = -3 - w, 3*n - 5*s = -13. Calculate the lowest common multiple of n and 22.
44
Suppose 12 = 3*k - 0*k - 3*x, 3*k - 47 = -4*x. Calculate the least common multiple of k and 5.
45
Suppose -5*f - 3*r = 31, -f + r - 11 = -0*r. Find the common denominator of 37/7 and (-4)/f*68/(-22).
77
Let t = 77 + -35. What is the smallest common multiple of 22 and 1/(3/t) + -2?
132
Let i = 6 - 1. Suppose 2 = 2*w - i*f, -w + 31 = 3*f + 2*f. Suppose -2*n = -p - 4, 0 = -4*n + p - 3 + w. Calculate the lowest common multiple of 6 and n.
6
Let o = -37 - -53. What is the smallest common multiple of o and 3?
48
Suppose -2*u - 450 = 3*u. Find the common denominator of -59/16 and 1/(-3) + 87/u.
80
Let k = 1/4464 + 254443/22320. Calculate the common denominator of 3/9 - 11/(-21) and k.
35
Let i = 8 + -5. Suppose 40 = i*v - 2*z, -2*v + 60 = 2*v - 4*z. Calculate the lowest common multiple of -5*(-2)/(-10)*-18 and v.
90
Let i be 0/(-1) - (-4)/2. Let n be (-10)/4 + 3/i. Calculate the common denominator of 101/12 and (49/(-2))/(n/(-1)).
12
Let a(s) = s**2 - s. Let g be a(-2). Suppose 5*h = -15, 5*h = 4*b + g*h - 33. Suppose 3 + b = 2*q. Calculate the smallest common multiple of q and 1.
6
Let m = 23 - 23. Find the common denominator of (267/(-12) - m)/2 and -20/9.
72
Let w = 39 - 185/4. Find the common denominator of w and 23/5.
20
Suppose k + 0*k + 8 = 0. What is the common denominator of 10/(-8)*(-7)/(-5) and ((-57)/(-48))/(10/k)?
20
Let v(i) = -6*i**2 - 4*i - 10. Let z be v(-5). Calculate the common denominator of 29/10 and 1/(-5) - 788/z.
70
Let w be 13/(-15)*-3*-1. Let f = w + 47/20. What is the common denominator of 77/10 and f?
20
Find the common denominator of -59/18 and 34/6*(3 - 63/22).
198
Suppose -2*k = -6*k - o + 12, -5*k = 3*o - 8. Suppose c = k*c - 66. What is the lowest common multiple of (-18)/45*(-3)/((-3)/(-40)) and c?
176
Suppose 3*b = -0 + 6. Calculate the least common multiple of 6 and b.
6
Suppose 2*y + 3*z - 37 - 31 = 0, -3*z = 4*y - 136. Let h = y + -20. What is the smallest common multiple of h and (3/(-6))/(2/(-48))?
84
Let d = 72 + -69. Calculate the lowest common multiple of d and 4.
12
Suppose 0*u = 2*u - 12. Suppose -4*j - 36 = -4*k, -2*k - 2*k - 5*j + 9 = 0. Let o(i) = -i**2 + 8*i - 2. Calculate the lowest common multiple of o(k) and u.
30
Suppose 5*n + 17 = 3*b, -2*n + 52 = -3*b + 6*b. Let h = 278 + -276. Calculate the least common multiple of h and b.
14
Suppose -4*q = 3 - 15. Let b(n) = n**3 + 8*n**2 - 4*n + 18. Let r be b(-8). Suppose 2*m = -q*m + r. What is the least common multiple of 20 and m?
20
Suppose -2*v = -4*v + 8. Calculate the smallest common multiple of 36/(-15)*10/(-3) and v.
8
Let h = 44099/6 - 7370. Calculate the common denominator of 41/2 and h.
6
Let n = 15/331 + -20341/3310. What is the common denominator of -5/2 and n?
10
Let x = -69236547 + 76575629237/1106. Let z = x - -17/158. Find the common denominator of (-59)/(-2) + (-1)/(-1) and z.
14
Let y = 415/456 - 2/57. Calculate the common denominator of 25/8 and y.
8
Let l = -3819/2 + 1947. Let t = 39 - l. What is the common denominator of -13/46 and t?
46
Suppose 3*g - 4*h - 17 = 17, 0 = -h - 4. Calculate the lowest common multiple of 28 and g.
84
Let q = -22 + 49. What is the smallest common multiple of q and 12?
108
Let y be 0/(2 + 0 + -1). Calculate the common denominator of (-21)/6 + 1 + y and -49/9.
18
Let q = 8 + -12. Let r be q/(-6)*(7 + -1). Suppose 0 = v - 3, -6*y + r*v + 8 = -y. What is the lowest common multiple of y and 4?
4
Let v(m) = 3*m - 2. Let y(r) = -3*r + 3. Let o(x) = -5*v(x) - 4*y(x). What is the least common multiple of 8 and o(-1)?
8
Let i(k) = k + 2. Calculate the lowest common multiple of i(0) and 6.
6
What is the common denominator of 53/11 and (176/33)/(34/(-9))?
187
Find the common denominator of -15/16 and 0/15 - 17/4.
16
Suppose -3*p + a + 6 = -1, 3*p + 5*a - 1 = 0. Calculate the least common multiple of 8 and p.
8
Suppose -8*g = -4*g - 24. Calculate the lowest common multiple of g and 14.
42
Suppose -18 = -4*n - t - t, 5*t = 5*n - 15. Suppose 3*b + 3*s - 42 = -0*b, 5*b = -n*s + 68. Calculate the lowest common multiple of 8 and b.
24
Suppose 4*o + 20 = -0*o. Let g(y) = y**2 + 5*y + 3. Let d be g(o). Calculate the common denominator of -2*(-238)/24 + d and -31/3.
6
Let k = -2599/3 - -859. Find the common denominator of -3*(127/(-18) + 1) and k.
6
Suppose -4*g + 2*s + 30 = 0, -3*g + 2*s + 20 = -0*s. What is the smallest common multiple of 10 and g?
10
Find the common denominator of (3 - 0) + (-183)/(-12) and 53/6.
12
Let j(y) = y - 6. Let u be j(5). What is the least common multiple of 2/u + 36/2 and 14?
112
Let r be (-12)/9*(-12)/2. Calculate the smallest common multiple of 8/6*(-15)/(-5) and ((-6)/r)/((-2)/8).
12
Let m(v) = v**3 - 2*v**2 - 5*v + 6. Let q be m(5). Calculate the common denominator of (-12)/(-14)*q/(-22) and 6*((-104)/(-60) + -1).
55
Let d = 346/3 - 114. What is the common denominator of d and 119/30?
30
Calculate the common denominator of 3 + 399/(-72) + (-3)/(-12) and -7/4.
24
Let t = -132683/30404 - -1/2764. Find the common denominator of -5/3 and t.
33
Suppose 88 = 2*a + 6*a. What is the least common multiple of 9 + (-3 + 6 - 2) and a?
110
Let b = 1060 + -4271/4. What is the common denominator of b and 19/18?
36
What is the common denominator of -2 + (-21)/44*-6 and 4/14 + (-2577)/126?
66
Let k = 0 - -2. Let r(q) = 2 - 3*q**2 + 14*q**k - 1 + q. What is the lowest common multiple of 8 and r(-1)?
88
Let c = 5044 + -50317/10. Calculate the common denominator of c and (3/(-12))/((-15)/198).
10
Find the common denominator of 1387/152 + -1 + 1 and 37/4.
8
Let g be -1*(2 - (-274 + -2)). Let w be ((-4490)/(-8))/((-2)/1). Let o = w - g. Find the common denominator of 5/2 and o.
8
Suppose 4*i + 1 = w + 4*w, -5*w + 5*i = 0. Calculate the lowest common multiple of w and 10.
10
Let n be (-22)/4*(-1 + -1). What is the common denominator of ((-580)/(-18))/(8/(-6)) and (-129)/(-18)*(-3)/n?
66
Calculate the smallest common multiple of ((-9)/2 - -3)*(-88)/6 and 18.
198
Let z = 14492/11 + -1316. What is the common denominator of 151/6 and z?
66
Let q = 25137/2 - 12840. Suppose -4*m + 1032 = -4*x, -5*m = 3*x - x - 1318. Let r = m + q. What is the common denominator of r and -81/20?
20
Suppose 0 = 2*w + 2. Let h = 6 - w. What is the least common multiple of (6/h)/(4/28) and 14?
42
Let t = -14851/9 - -1647. Calculate the common denominator of 19/18 and t.
18
What is the common denominator of 73/6 and (-1830)/20*2/(-60)*2?
30
Calculate the smallest common multiple of 52 and (3 - (-42)/8)/(6/16).
572
Suppose 3*i = 21 + 78. What is the least common multiple of 21 and i?
231
Let a be -1 + (-22)/(-741)*33. Let o = 1454608/411 + -5025698003/1421238. Let j = o - a. What is the common denominator of 71/12 and j?
84
Let q(v) = -v**3 + v**2 - v + 6. Let b = 9 + -4. Calculate the smallest common multiple of b and q(0).
30
Let p be (158799/(-31410))/(2/6). Let y be (-4)/25*(-5)/2094. Let b = p + y. Calculate the common denominator of -107/10 and b.
30
Suppose -2*c - 4*w = -60, -2*w - 90 = -3*c - 4*w. What is the least common multiple of c and 15?
30
Suppose 0 = -309*j + 306*j - 36. Suppose -5*o - k = 3*k - 124, -4*k - 92 = -4*o. Let s = o + j. What is the least common multiple of s and 16?
48
Let s = 37273/2924 - -2/731. Calculate the common denominator of s and -99/16.
16
What is the common denominator of 59/6 and 23/115 + (-689)/(-30)?
6
Let j = -2484 + 49639/20. Find the commo