ple of 36 and j.
72
Let q = 32 + -29. Suppose m + m = -4*g + 5606, q*m + 3*g = 8412. What is the common denominator of 73/28 and (m/(-88))/((-66)/8)?
308
Calculate the least common multiple of -2 + 2864/22 + (-32)/176 and (-11)/(-1 + 1/2).
1408
Let h be (42/8)/((-5)/(-20)). Suppose -5*g - 6 = -h. What is the lowest common multiple of g and 5?
15
Let u = -57 + 69. Let t = 2 - -2. What is the smallest common multiple of u and t?
12
Let j be (46/(-4))/((-8)/864). Let s be j*7/(84/(-8)). What is the common denominator of (s/32)/(30/(-8)) and 77/4?
20
Let r = 1584 - 50693/32. Let k = 903/160 - r. What is the common denominator of 25/8 and k?
40
Let a be 36609/27*(-75)/20. Let q = -11639 + 16720. Let j = q + a. What is the common denominator of -53/20 and j?
60
Let r be 27*((-24)/(-9) - 2). Let m = 12 - 12. Suppose 0 = -m*q - 3*q + r. What is the lowest common multiple of q and 20?
60
Let b be 3 + (-3 - 9785/(-20)). Suppose 67 = 4*y + 1967. Let k = y + b. What is the common denominator of k and -87/20?
20
Let t(m) = -10*m**2 - 1. Let c(g) = g**2 + 7*g + 5. Let a be c(-6). Let i be t(a). Find the common denominator of -2*((-4323)/108)/i and 43/20.
180
Let t(g) = 25*g + 52. Let n be t(-2). Let j be 3 - (0 - (0 + 0)). Suppose j*s - 2*s = -r + 1, n*r - 8 = -3*s. Calculate the smallest common multiple of s and 1.
6
Let k = 87 - 81. Calculate the smallest common multiple of 36 and k.
36
Let v = 2459 + -2108. What is the lowest common multiple of v and 390?
3510
Suppose 0 = 2*v - 5*v - 93. Let c = v + 43. Calculate the smallest common multiple of c and 38.
228
Suppose 3*u = -0*u - 5*h + 427, 5*u + 3*h - 685 = 0. Calculate the common denominator of 10/24*(0 + -9) and u/6 - (-3)/(-6).
12
Let m be -7 + 9 - (0 + 6). Let s(r) = -2*r - 4. Let t = 102 - 101. Calculate the smallest common multiple of s(m) and t.
4
Calculate the common denominator of 3 - 1/((-10)/(-48)) and ((-26)/6 - -5)/((-6)/31).
45
What is the smallest common multiple of (-55)/(-5) + -5 + 2 and 8?
8
Suppose 3*a - 3*v - 7140 = -2*a, 4*a = 3*v + 5709. Find the common denominator of 1/(-24)*a/18 and -113/10.
80
What is the smallest common multiple of -8*-3*2/4 and 40?
120
Let l = 11 - 18. Calculate the common denominator of (-1 - 12/(-8))*63/4 and (18/(-4))/(1/l).
8
Suppose 0 = -5*j + 4*r - 72, j + 21 = -0*j + 3*r. Let o be ((-370)/j)/(3/(-63)). Let z = -7723/12 - o. What is the common denominator of 71/20 and z?
60
Let z = -655 - -11753/18. What is the common denominator of -79/33 and z?
198
Let n be 1750/876 + (-2)/1. Let b = n - -4052/219. Find the common denominator of 19/11 and b.
22
Let d = -1285/286 + 1/26. Calculate the common denominator of 99/76 and d.
836
Suppose h + 4*h - 165 = 0. Find the common denominator of 1833/99 + 27/h + -1 and 13/15.
15
Let l(d) = d**2 + 12*d + 23. Calculate the lowest common multiple of l(-10) and 111.
111
Let z = -6751141/130 - -51931. Let l = 150837/16 + -9421. Find the common denominator of l and z.
1040
Let m = -110 + -138. Suppose 16*s - 17*s + 16 = 0. What is the lowest common multiple of s and m/(-18) - 4/(-18)?
112
Let b(a) = -a**2 + 10*a + 13. Let u = 3 - -8. Let n be b(u). Suppose 0 = 5*o, 0*t + t - n*o - 2 = 0. Calculate the least common multiple of 2 and t.
2
Let c be (-3)/(-12) - (-50)/(-4). Let h = c + 407/28. Let v = -542 + 1646/3. What is the common denominator of h and v?
21
Suppose 4*t - 634 = -266. Let l = t - 89. What is the smallest common multiple of l and 18?
18
Suppose 15 + 337 = 32*l. What is the lowest common multiple of l and 76?
836
Suppose 2*a - 4*d = -5*d + 1, -3*a - 11 = -d. Let m = a + 5. Let b = -286 + 293. Calculate the smallest common multiple of b and m.
21
Let d = 1583 - 1367. Calculate the smallest common multiple of 6 and d.
216
Suppose -2*j - 3 = 5*r, 0*j = -5*j - 2*r + 24. Suppose -4*k + 2*z + j = 0, 4*z - 2 = k - 7. What is the common denominator of (-50)/120 - k/4 and -57/10?
30
Let g = 1280/9 + -436/3. Let n = 15237/5698 + 2/259. Find the common denominator of n and g.
198
Let z(x) = -x**3 + 9*x**2 + 26*x + 16. Calculate the least common multiple of z(9) and 45.
2250
Let m = -28682 - -975081/34. What is the common denominator of m and 5/14?
238
Let k(x) = -x**3 - x**2 - 3*x - 2. Let c be 24/60*(2 - 7). Suppose l - 3 = -3*z + 5, 2*z + 3*l = 3. Calculate the least common multiple of z and k(c).
24
Let k(m) = m**2 - 3*m - 7. Let q be k(6). Let u = 10 - q. What is the lowest common multiple of u - (-1 + 2)*-3 and 17?
34
What is the common denominator of 50/100 - (-101)/(-16) and 25/82?
656
Let i = 8149/36 - 929/4. Let j = 1944/5 - 392. Find the common denominator of i and j.
45
Let y be (4 - 130)/1*-1. What is the common denominator of (-511)/y*(4 - 1) and 57/10?
30
Suppose 2*w = 5*r - 10 - 6, 5*r + 5*w + 5 = 0. Suppose -2*o + 121 = 101. Calculate the smallest common multiple of r and o.
10
Suppose -95 = 3*x - 26. Let o = 41 + x. What is the least common multiple of o and 10 - (-1 + (3 - 4))?
36
Suppose -4*d + 8*d = 0. Suppose -5*r + 5*n - 40 = d, -r = 2*r + 5*n - 8. Calculate the lowest common multiple of r/(-1) + -1 + 1 and 8.
8
Let u = -1142 - -1154. Suppose 0 = 5*d + 4*a - 216, 2*a - 12 = -4. Calculate the lowest common multiple of d and u.
120
Calculate the smallest common multiple of ((-2)/7)/((-3)/21) and 7.
14
Calculate the common denominator of (5/(-12))/(112/5600) and -85/26.
78
Let w = -10893/7 + 1862150/1197. Find the common denominator of w and -22/9.
171
Suppose -24*c - 4*i - 85 = -27*c, 2*c - 65 = i. What is the least common multiple of c and 325?
2275
Let u = 1429102 + -19829353/14. Let p = u + -12714. What is the common denominator of 4/34*(-106)/8 and p?
238
Let a be ((-3)/(-6))/(3/24). Suppose 0 = -f + a*f. Suppose f = 4*z - 25 - 23. What is the lowest common multiple of 10 and z?
60
Let k = -1/31668 + -95881/84448. What is the common denominator of k and -11/108?
864
Let u = -36/31 + 841/217. Let z = 239516 - 2167756/9. Let k = -1344 - z. Calculate the common denominator of k and u.
63
Suppose 0 = 2*t + 5*c - 9, 4*t - c = -2*c - 27. Let x = -2063 + 4219/2. What is the common denominator of x and (-10)/8*t/80?
8
Suppose -116 = -c - 74. Calculate the smallest common multiple of c and 48.
336
Suppose 9 + 0 = -9*u. What is the lowest common multiple of 1 and u + -2*(-44)/8?
10
Let c = -30 - -58. Suppose 0 = o - c + 8. What is the least common multiple of o and 20?
20
Calculate the common denominator of -19/36 and (9*22/(-2376))/((-10)/(-92)).
180
Let y(d) = 2*d**2 - 3*d - 38. What is the lowest common multiple of 7 and y(-6)?
364
Calculate the common denominator of (-24)/36 - (79/(-3) + 1) and 95/12.
12
Let s(y) = -y**2 + 10*y - 20. Let a be s(6). Suppose a*x + 44 = 15*x. What is the lowest common multiple of x and 16?
16
Let b be (4025/(-3))/((-1)/3). Let s = b - 16096. Let z = s + 144737/12. Find the common denominator of -91/6 and z.
12
Suppose 0 = -j - t + 3, 0 = -t + 4. Find the common denominator of (-14*(-6)/24)/((-20)/14) and j*1 + 95/(-80).
80
Let k(x) = x**2 - 4*x - 5. Let o be k(5). Suppose -5*i = -o*h - h + 25, -5*h = -4*i - 62. Calculate the least common multiple of 6 and h.
30
Let g = -8066 - -4580. Let r = g + 34807/10. Find the common denominator of ((-294)/18)/((-8)/3) and r.
40
What is the smallest common multiple of 144 and 1246/178 + -1*4?
144
Let b = -27533528/119 + 231379. Let k be 134/68 + (-2)/(-4). Let a = k + b. Calculate the common denominator of a and 89/6.
42
Let v(f) = -f**3 - 7*f**2 - f + 6. Let x be v(-6). Let u = x - -30. What is the least common multiple of u and 2?
6
Let s(l) = -l**2 - 10*l - 17. What is the least common multiple of s(-5) and 38?
152
Let d = 10763/12 + -2671/3. What is the common denominator of -17/400 and d?
1200
Let k = 590 - 242. Suppose k + 588 = 12*c. Calculate the least common multiple of 33 and c.
858
Let b(t) = t**2 + 10*t + 18. Let q = -89 + 87. What is the least common multiple of 20 and b(q)?
20
Let a = 7042 + -63310/9. Find the common denominator of -32/87 and a.
261
Let c(u) = u**3 + 8*u**2 + 9*u + 4. Suppose -o - 5 - 1 = 0. Suppose 3*y - 28 = y. What is the lowest common multiple of y and c(o)?
154
Let s(c) = -4*c**2 + 58*c + 2. Calculate the least common multiple of 100 and s(13).
400
Calculate the smallest common multiple of (-8)/20 