. What is the least common multiple of w and a?
24
Let x = -3 + 5. Suppose 2*s + x*y = 30, -4*s + 5*y = 2*y - 32. Calculate the least common multiple of ((-288)/(-168))/((-3)/(-14)) and s.
88
Suppose -44*u - 47*u = -3003. What is the least common multiple of 36 and u?
396
Let l = 2371/63 - 1013/14. Let u = -74/9 - l. What is the common denominator of 125/18 and u?
18
Suppose 0 = 4*q - 55 + 51. Suppose 4*v + q = 2*p - 3, 1 = -p + 3*v. Calculate the lowest common multiple of 8 and p.
8
What is the smallest common multiple of (-4 - -20)*((0 - 3) + 4) and 220?
880
Let y = 51931/15 + -3464. What is the common denominator of -121/6 and y?
30
Suppose -15*u = 12*u - 243. What is the least common multiple of u and 231?
693
Let y = -96 - -163. Let i = y + -57. What is the least common multiple of i and 1?
10
Suppose -3*w = -w - 12. What is the least common multiple of 50/w - (-16)/(-48) and 9/(-3*3/(-6))?
24
Let k be 5 + -74 + -2 - -3. What is the least common multiple of 10 and 2/(-8) - 153/k?
10
Suppose 0 = -16*t + 11*t. Let x(v) = -v + 16. Calculate the smallest common multiple of x(t) and 12.
48
Let d(v) = -v**2 - 5*v - 4. Let c be d(-3). Find the common denominator of -12/13 and 6 - c - 123/18.
78
Calculate the lowest common multiple of 10 and 944*(-8 + 136/16).
2360
Suppose -z + 21 = -31. Let c = -50 + z. Calculate the lowest common multiple of 11 and c.
22
Let v = -25045 + 450959/18. What is the common denominator of v and -89/8?
72
Suppose 4*b - 28*u = -25*u + 98, 4*b - 86 = -3*u. What is the smallest common multiple of b and 8?
184
Let q be 6/12 + 3867/66. Let d = 6323/99 - q. Calculate the common denominator of d and -3/10.
90
Let q = 41222 - 1483901/36. Find the common denominator of 127/72 and q.
72
Suppose 2*s + 5*p + 0*p - 17 = 0, -9 = -3*p. Let z = 9 - s. Calculate the lowest common multiple of z and 2.
8
Suppose 3*s - s = 5*z + 61, -z = 5*s - 166. What is the smallest common multiple of s and 108?
1188
Let s = -2079 - -2169. Calculate the smallest common multiple of 126 and s.
630
Suppose -3*y = 13 + 5. Let f(h) = h**2 + 8*h + 18. What is the least common multiple of f(y) and 7?
42
Let r be (-1060)/22 - 2/(-11). Calculate the common denominator of -57/52 and (-11)/(-33) + (-41)/r.
208
Let z be (-9)/(-6) - 1757/(-2). Let s = z + -1464. Calculate the common denominator of 1/6 + s/192 and 47/16.
16
Suppose 5*m - 43 = 2*j + 233, -2*m = 4*j - 96. Calculate the least common multiple of m and 513.
1026
Let i(r) = r**2 + 11*r - 5. Let u be (-2)/(3 + 4/(-4)). Let b be ((-22)/(-1))/(-2) + u. Calculate the least common multiple of 8 and i(b).
56
Let n(d) = -d. Let v be n(12). Let l = 53222/11 - 4843. Calculate the common denominator of ((-423)/v)/(9/6) and l.
22
Suppose -18 = -6*r + 3*r. What is the least common multiple of r + (1 - (-1)/(-1)) and (-33)/(-4) + 2 - 13/52?
30
Let o = -5854578381109/269215605120 - -1/574020480. Let q = -3/938 + o. Calculate the common denominator of q and (-6)/40 + -2 + 6.
20
Let o(x) = x**3 - 9*x**2 - 21*x + 16. What is the smallest common multiple of 126 and o(11)?
378
Let a = 12175 - 791398/65. Find the common denominator of a and 53/13.
65
Suppose -5*u + 0 + 15 = 0. Calculate the lowest common multiple of u and (4/(-3))/((8/180)/(66/(-60))).
33
What is the common denominator of (4/12)/((-120)/228) and 70/33?
330
Find the common denominator of (-2751)/5760 - (-3)/6 and 83/6.
1920
Suppose 2*t + 2 - 12 = 0. Let i(c) = 6*c - 12. Suppose -7 = 3*y - 73. Calculate the lowest common multiple of i(t) and y.
198
Let o = 1/259 - 15287/1554. Find the common denominator of (-688)/36*2/16 and o.
18
Calculate the smallest common multiple of 72 and ((-5)/10*1)/((-3)/60).
360
Let l(z) = -z**2 - z + 2. Let g be l(1). Suppose 4*r + 0 - 12 = g. What is the least common multiple of (10/4)/(10/20) and r?
15
Suppose 278 + 204 - 110 = 31*c. Find the common denominator of c and (-2)/9 - (-802)/(-198).
11
Let v(l) = 7*l + 75. What is the least common multiple of v(5) and 35?
770
Suppose 3*h = 2*h + 22. Let d = 16 - h. What is the common denominator of d/21 + 1350/168 and 65/4?
4
Let h = 4/529 - -45983/5290. Suppose 0 = -3*g + 63 - 3. What is the common denominator of (-119)/(-14)*(-14)/g and h?
20
Let w = 6 + -3. Suppose 4*m - 138 = -p, w*m - 171 = -2*m - 2*p. What is the common denominator of -107/18 and (m/14)/(2/(-7))?
36
Let t be 14*-2 - (3 + -4)*1. Calculate the common denominator of (-9)/t + 241/24 and -11/10.
40
Let i(z) = z**3 + 15*z**2 + z + 18. Let x be i(-15). Suppose -5*s - n - 4*n + 570 = 0, s = x*n + 122. What is the lowest common multiple of 2 and s?
116
Let w = 4185 + -100481/24. What is the common denominator of (-3)/(-2)*(-38)/(-36) and w?
24
Let d(y) = y**2 - 11*y + 4. Let x be d(5). Let c = x - -52. Calculate the smallest common multiple of c and 22.
286
Let f = 34 - 31. Suppose -4*y = 2*w - 122, 2*y = f*w + 24 + 49. Calculate the lowest common multiple of y and 18.
288
Suppose -3*x = -15 - 0, -3*m - 3*x = 30. Let p = 23 + m. What is the lowest common multiple of 9 and p?
72
Let i(b) = b**3 - 19*b**2 + 17*b - 44. Let g be i(18). Let o = -44 - g. What is the smallest common multiple of o and 14?
126
Suppose 30 = -4*f + 9*f. Let v be (-9 + 15)*4/f. What is the smallest common multiple of 34/v + (-15)/30 and 14?
56
Let o = 38 + -42. What is the least common multiple of 9 and 27/5 - o/(-10)?
45
Let s(h) = 2*h**2 - 2*h - 1. Let p be s(2). Suppose -56 = a + 4*k, -47 + 170 = -3*a - p*k. Calculate the common denominator of a and ((-26)/18)/((-1)/6).
3
Let n(g) be the third derivative of 5*g**4/24 + 41*g**3/6 + 3*g**2 - 2*g. Calculate the lowest common multiple of 16 and n(-5).
16
Let p = 1119 - 461. Let y = p - 6651/10. Find the common denominator of y and 2*20/(-144)*(-28)/10.
90
Suppose r - 36 = -r. Calculate the least common multiple of r and (-468)/169*13/(-2).
18
Suppose 7*t - 8*t - 2*w + 57 = 0, 0 = -3*w - 12. Calculate the smallest common multiple of 2 and t.
130
Suppose i - 11 = c, 3*i - 8*i + 54 = -4*c. What is the smallest common multiple of (-116)/(-6) - (-2)/3 and i?
20
Suppose 3*q = 6*q - 729. What is the least common multiple of q and 216?
1944
Let d = -2 + 8. Suppose u = 5*b - 10 - 15, -3*u + 21 = b. What is the smallest common multiple of b and d?
6
Let q = -942 + 950. What is the smallest common multiple of 1 and q?
8
What is the common denominator of 15/(-48) + (-3)/((-36)/(-6)) and 35/4?
16
Let l be (30/(-7074))/5*696/(-10). Let n = l - -1/131. Calculate the common denominator of n and 49/9.
45
Suppose 354 = 31*x - 979. Calculate the least common multiple of x and 13.
559
Let q(w) = 7*w - 26. Let d be q(8). Suppose 0 = 7*m - 8*m + d. What is the smallest common multiple of m and 24?
120
Let a(y) = -11*y + 4. Let f be a(4). Let c = -336/55 + 7949/770. Find the common denominator of c and (-10)/(-8)*(-46)/f.
112
Suppose -9*b + 6*b = -195. Let l = -705 - b. What is the lowest common multiple of 12 and (-4)/18 - l/63?
12
Let w be (-4)/(-2)*(0 - -1). Let h = -20 + 26. What is the lowest common multiple of -1 + 10 - 1 - w and h?
6
Let k = 1680394/2101 + -45646305127/56285790. Let g = 2/4465 + k. Find the common denominator of g and 53/5.
30
Let u = -69 - -101. Calculate the lowest common multiple of 44 and u.
352
Let o = -2740 - -8147/3. Let l be ((-146)/142 + 1)/(31/(-124)). Let a = l + 1901/142. Find the common denominator of o and a.
6
Suppose 0 = -14*i + 81 + 59. Suppose -4*p - 135 = p. What is the smallest common multiple of i and 4/(-18) + (-33)/p?
10
Let w = -27788/7 + 3962. Let b = 40 - 182/5. What is the common denominator of w and b?
35
Let u = 661/4 + -161. Let t(o) = o - 10. Let p be t(8). What is the common denominator of u and 5*22*p/(-8)?
4
Let s be (-5503)/(-33)*(-52 - 19). Let p = 11841 + s. What is the common denominator of 28/9 and p?
99
Let r be ((-25)/10)/(2/(-436)). Let g = -1934 + r. Find the common denominator of 7/8 and g/(-432) + (-8)/(-36).
16
Suppose 0 = -5*k - 1771 - 12029. Let l be 23823/k + (1 - -2). Let w = 3/460 + l. Calculate the common denominator of -39/14 and w.
56
Let u = -37 + 125. What is the smallest common multiple of 80 and u?
880
Let r = 34487014/1401 - 24616. Let y be (-79843)/(-9807) + (-2)/((-4)/(-6)). Let g = r - y. What is the common denominator of -5/11 and g?
