te the common denominator of 7/198 and (-29)/(1450/30) + 549/1540.
2772
Suppose 1693 = -f + 683. Find the common denominator of ((-38)/(-2))/(-18 - 4) and ((-3)/20)/((-15)/f).
110
Calculate the smallest common multiple of 80 and (-21)/(-28)*3584/42.
320
Suppose -r - 1 = -4. Suppose -r*c + 0 = 3. Calculate the common denominator of 99/14 and (c/2)/(11/17).
154
Let u be 22/77 - 131/(-7). Suppose -n - 15 = 4*v, 4*n + 5*v - 3 = -u. Find the common denominator of -8/3 and (1 - (-180)/(-39)) + n.
39
Calculate the common denominator of -1/21 and (7 - (-44)/(-96))*(-4)/(-7).
42
Suppose 3*q = 3*i - 41 - 70, -3*i - 113 = 4*q. Let s = 34 + q. Calculate the lowest common multiple of s and 22.
22
Let f(u) = -6*u + 1 - u - 9 - 24. What is the smallest common multiple of f(-6) and (-11 - 1)/(3/(-2))?
40
Suppose 3*x + 5*v + 2167 = 0, 0 = -0*v - 3*v + 3. Let j = x + 20295/28. Calculate the common denominator of j and -7/8.
56
Calculate the least common multiple of (232/(-290))/((-2)/10) and 32.
32
Let c = -61 + 61. Suppose 0 = 6*v - c*v - 18. What is the smallest common multiple of v and 18?
18
Let f = 39242 - 1648051/42. Find the common denominator of -91/96 and f.
672
Let b = 1635 - 1627. Calculate the least common multiple of b and 30.
120
Let q be -3 - (15006/(-1340))/(-3). Let c = q - 38/67. What is the common denominator of c and (2*52/(-32))/(1/2)?
10
Let h be 108/(-23492)*395451/(-6). Let c = h + -303. Let g = -57073/11746 + c. What is the common denominator of g and -48/11?
77
Let d be 6/21 + (-30)/(-42). Calculate the least common multiple of 8 and -3*d*(0 + 4/(-6)).
8
Suppose 0 = 6*z - 3*z - 72. Suppose 2*v = 6*v - 36. What is the smallest common multiple of z and v?
72
Let j = 496/5 - 205/2. Let k = 240 - 119. Let q = k + -79. What is the common denominator of q and j?
10
Let u = 2343 + -669. Find the common denominator of -2 - 3/(-99)*u/20 and 29/7.
770
Let k = 3961/30750 + -11/82. Let m = 34867/1500 - k. Let h = -4489/10 + 445. Calculate the common denominator of m and h.
20
Let n = -8003 + 8007. What is the least common multiple of n and ((-4)/3)/((-2)/6)?
4
Let s(a) = 157*a**2 - 7*a + 2. Let l be s(-7). Suppose 0*r - 4*r - l = 0. What is the common denominator of 19/16 and 1/(-24)*r/12?
144
Suppose -3*j - c + 77 - 340 = 0, 5*j - 3*c = -443. Calculate the lowest common multiple of 22 and (-2)/11 - 1776/j.
220
What is the smallest common multiple of 8 + (5 - (3 - 3)) and 77?
1001
Suppose r - 2*r = 3. Let f(t) be the third derivative of -t**6/120 - t**5/30 - t**4/24 - t**3/6 + 34*t**2. Calculate the lowest common multiple of 5 and f(r).
55
Suppose -11 = -4*l + 5. Suppose 60 = 4*c - m, 4*m = 2*c - 0*m - 16. What is the smallest common multiple of c and l?
16
Let p(b) = 24*b + 58. Calculate the lowest common multiple of p(-2) and (-40)/(-3) - (-4)/6.
70
Suppose 4*k - 4*n = 5*k + 25, 0 = -3*k + 5*n + 10. Find the common denominator of (164/(-48))/(k/10) and 62/9.
18
Let j(u) = u**2 + 31*u - 119. Calculate the smallest common multiple of j(-35) and 30.
210
Suppose -5*g - 5 + 65 = 5*f, 0 = -5*g - 4*f + 61. Suppose -g*c + 113 = -30. What is the lowest common multiple of (-1)/(-2) - 10/(-4) and c?
33
Let r = -28/395 - 31211/11060. Let s = 295628867/31812480 + -1/908928. Let o = s + r. What is the common denominator of -1/41 and o?
205
Suppose 0 = -y - 3*a + 9 - 72, -5*y - 2*a - 328 = 0. Let o = 213 + -221. Calculate the lowest common multiple of 12 and o/6 - y/9.
12
Let q = 2923509/92 - 31778. Find the common denominator of q and -101/8.
184
Find the common denominator of -5/312 and ((-2)/3)/(712/171 - 4).
2184
Let y = 876 + -1696. What is the common denominator of ((y/88)/5)/(-1) and 61/22?
22
Find the common denominator of 982/(-924) + (180/(-27))/(-10) and 20.
154
Let q(k) = k**3 - 4*k**2 - 59*k - 1. What is the lowest common multiple of 501 and q(10)?
1503
Let g(m) = m**2 + 5*m. Calculate the least common multiple of 4 and g(-9).
36
Let l = -21/11 - 5/176. Find the common denominator of ((-291)/4)/3 - 0 and l.
16
Let q = 75/271 + -17639/5962. What is the common denominator of 139/30 and q?
330
Suppose -5*l = -8*l + 12. Suppose 2*d = -5*o + 68, -d = -5*d + 2*o + 184. Suppose -3*p = -l - d. What is the lowest common multiple of p and 16?
16
Let c = 13852 + -249205/18. Calculate the common denominator of -75/56 and c.
504
Let l = -607067/40 - -15175. What is the common denominator of l and -97/76?
760
Suppose -61 + 21 = -5*a. Suppose 12 = 2*h - a. Let q = -3 - -10. What is the least common multiple of q and h?
70
Let f = -123 - -63. What is the common denominator of 215/f*(-6)/(-8) and -145/36?
144
Let o = 26443/16 + -1657. What is the common denominator of 21/20 and o?
80
Let o be (-28)/(-35) - 2/(-10). Calculate the common denominator of 9/4 and (-423)/(-45) + (-1 - o).
20
Suppose j - 64*j + 561 = -573. Suppose -2*w + 2 = -2*r, -3*w + 2*w + 16 = 4*r. Suppose w*v = v + 24. Calculate the lowest common multiple of j and v.
72
Suppose -5*q + 2 = -4*q. Suppose 7*h - z = q*h + 20, -5*z = 3*h + 16. What is the lowest common multiple of 3 and h?
3
Let n(c) = c**2 + 3*c + 1. Suppose 262*m - 263*m + 1 = 0. Calculate the smallest common multiple of m and n(-3).
1
Let r = -2/44689 + -6658613/1072536. What is the common denominator of r and -29/240?
240
Find the common denominator of -71/3 and 1070/115 + -6 - 1.
69
Let m(c) = 3*c**2 - 7*c - 2. What is the least common multiple of m(-2) and 72?
72
Let t(y) = y**3 - 8*y**2 + 8*y. Suppose -7*n + 21 = -4*n. Calculate the least common multiple of t(n) and 25.
175
Suppose 2*x + x = -2*a + 23, -4*x + 40 = -2*a. Suppose -3*j = -x, j + 79 = 5*n + 22. What is the lowest common multiple of 33 and n?
132
Let s(j) = -16*j + 114. What is the common denominator of s(5) and 67/36?
36
Suppose 16*p - 20*p = -4. Suppose 0 - 5 = w, -2*d - w - p = 0. What is the smallest common multiple of d and 8?
8
Let z = 551/124 - 37/31. Let g = 69094/13 - 5318. What is the common denominator of z and g?
52
Let j = -879 - -891. What is the smallest common multiple of j and 992?
2976
Let m = 4193/12 + -3163/9. What is the common denominator of m and 55/12?
36
Suppose a + 3*b = -66, 0 = -a + 3*b - 19 - 35. Find the common denominator of (357/a)/((-9)/(-6)) and 71/22.
330
Let q(h) = h**3 - h**2 - 4*h - 3. Let u(y) = 2*y**3 - 3*y**2 - 7*y - 6. Let m(l) = 13*q(l) - 6*u(l). What is the common denominator of m(-6) and -19/3?
3
Let o(z) = 57*z**3 - 2*z**2 + 2*z. Let b be o(1). Let r = b - 15. What is the least common multiple of 22 and r?
462
Suppose -185 = 18*w - 1697. Calculate the smallest common multiple of w and 5.
420
Let p(q) = 2*q**2 + 22*q - 4. Let g be p(-9). Find the common denominator of ((-5)/g)/((-8)/4) + -4 and 41/60.
240
Let i(b) = 4 - 2*b + 3*b + 0 - 5*b. Let f be i(-4). Suppose 0 = 4*n + f - 92. What is the lowest common multiple of n and 6?
18
Find the common denominator of 19/6 and 3 - 8 - -4 - (-48)/(-45).
30
Let q be 1719/(-36) - 3/12. Let i = q + 59. What is the smallest common multiple of 1 and i?
11
Let x(w) = -w**3 + 4*w + 150. What is the smallest common multiple of x(0) and 30?
150
Let x = -25 + 26. Suppose 5 = a - x. Let s(g) = -g**3 - 3*g**2 - 2*g + 3. Calculate the lowest common multiple of s(-3) and a.
18
Let p be (-8)/3*(-105)/14. Let s = 7 + p. Let w = -15 + s. What is the lowest common multiple of w and 8?
24
Suppose -14760 = 4*n - 4*z, -4*n = -3*n - 4*z + 3705. Let p = -14639/4 - n. Calculate the common denominator of -87/8 and p.
8
Suppose -3*j - 5*s - 3 = 0, 3*j + 4*s = 4*j - 16. Suppose -12 = -2*a + 32. Suppose -a*o = -21*o - j. Calculate the smallest common multiple of 6 and o.
12
Let q = -41838 + 4267435/102. Find the common denominator of q and -91/12.
204
Let r be 0/(-1) + (0 - -2). Let t = 3220 - 19231/6. Calculate the common denominator of t and r/11 + 1279/(-198).
18
Let l be (8/10)/((-26)/(-65)). Suppose l*b = 9 + 3. Suppose -6 - 2 = -4*x. What is the lowest common multiple of x and b?
6
Let d = -5/439 - 41685/1756. Let o = 2/55233 + -26677549/276165. Let n = -3433/30 - o. Calculate the common denominator of n and d.
12
Let q(x) = -41*x + 8. Let i be q(-2). Suppose m + 4*m = i. What is the lowest common multiple of m and 10?
90
Let a be -2 - 36/8*-116. Let j = 7275/14 - a. Find the common denominator of 