(96/m)/(-8) + (-1398)/189.
45
Let f = -106 + 41. What is the least common multiple of 56 and (26/f)/(1/(-40))?
112
Let c(h) = 246*h**2 + 186*h. Calculate the smallest common multiple of c(-3) and 1288.
11592
What is the common denominator of -22/13 and 32/4 + (2446/(-254) - -2)?
1651
Let n = -39 - -44. Let t = -19 + n. Let v = -11 - t. Calculate the least common multiple of v and 5.
15
Let k = -335 + 302. Find the common denominator of 1/8*2 - -11 and 408/8*k/540.
60
Let s be ((-4)/30)/((-2)/137)*-3. Let v = s + 109/5. Calculate the common denominator of v and 45/7.
35
Let z = 2/1069 + 109024/7483. Let l = -110/7 + z. What is the common denominator of (-61)/11 + 40/8 and l?
77
Let h be (-374339)/(-294) + 3/(-9). Let a = -1271 + h. Find the common denominator of a and -97/20.
140
Let s be (-1 - 3) + 775378/193848. Let o = 6250095713/484620 + s. Let x = 12886 - o. What is the common denominator of x and 45/8?
40
Suppose 0 = j - 3*y + 8, -j - 2 = -5*y + 12. Find the common denominator of -80/33 and (j/((-15)/(-67)))/((-16)/(-80)).
33
Let m = 423/44 + -19/22. Let n(p) = -301*p - 13. Let y be n(-6). Let h = y - 14321/8. Find the common denominator of h and m.
8
Suppose 4*f + 194*o = 192*o + 982, -4*f - 3*o + 987 = 0. Calculate the common denominator of (-2)/(-4) - f/180 and -85/32.
160
Calculate the least common multiple of 109 and -8*(-6 + (-203)/(-56)).
2071
Let u(m) = 2*m**3 + 25*m**2 + 68*m - 26. What is the lowest common multiple of 534 and u(-8)?
534
Suppose 6*j + 30 = 5*j. Let v be 4 + -11*(j + -1). Let n = v - 1387/4. What is the common denominator of n and -7/10?
20
Let r(q) = -8*q + 13. Let x be r(5). Let p = -15 - x. Let n = 88 + -86. Calculate the smallest common multiple of n and p.
12
Let x = 1808722856824419704873/4739262 + -381646521509980. Let y = x - 3/71807. Find the common denominator of -181/30 and y.
330
Let j(p) = 10*p**3 - p**2 - 2*p. Suppose 52*i - 13590 = -12*i - 87*i. What is the least common multiple of i and j(2)?
360
Let o = -95 - -147. Let q be 13/o - (-38)/8. Find the common denominator of 19 and 69/q*(-1)/(-3).
5
Let y = 241/1533 - 8/73. Let a be ((-57)/380)/((-81)/(-61)). Let w = 3/20 + a. Find the common denominator of y and w.
189
Suppose 2 = 5*d - 18. Suppose -4*g = -2*z - d, z + 3 = -2*z + 5*g. Suppose -3*y = -31 + z. Calculate the least common multiple of y and 33.
99
Let c = 51 + -33. Let j = -329 + -2547. What is the smallest common multiple of 10/45 + 0 - j/c and 14?
1120
Let q = 2/12248979 + -714526283/15360219666. Find the common denominator of q and 109/22.
3762
Suppose 5*f - 2*g = 219955, 2*f - 13*g = -12*g + 87981. Find the common denominator of 131/828 and 1/(-13) - f/3198.
828
Suppose a = -0*c - c + 93, 0 = -c + 5. Suppose 0 = -25360*d + 25364*d - 320. Calculate the smallest common multiple of d and a.
880
Suppose -4*j = 5*k + 12, 24*j = 19*j - k - 36. What is the common denominator of -85*4/64 - (8 + j) and 67/22?
176
Let f = -232 - -219. Let v(b) = b**3 + 12*b**2 - 21*b - 84. Calculate the lowest common multiple of 14 and v(f).
140
Let y = 4199/4 - 29235/28. Calculate the common denominator of 73/1798 and y.
12586
Find the common denominator of 3 - (10 + (-23395)/3300) and 211/420.
4620
Let d(l) = 131*l**3 - 2*l**2 - 17*l + 21. Calculate the least common multiple of 104 and d(2).
8216
Let s = 2148569/24 + -89528. Calculate the common denominator of s and (103/15)/(12/10).
72
Let v = -12148 + 12656. What is the least common multiple of 102 and v?
25908
Let y(f) = -15*f**2 + 14*f + 10. Let p be y(-5). Let t = p - -465. What is the lowest common multiple of t and 24?
120
Suppose 9034 = 9*b - 3566. Let z = -28023/20 + b. Calculate the common denominator of z and 59/160.
160
Calculate the least common multiple of 120 and (-15)/(-6) + (-27170)/(-52).
4200
Suppose -2 = 3*b + 4. Let z = -343091 + 343141. Calculate the smallest common multiple of -38*b/2 - -2 and z.
200
Let a be (-9)/((-108)/100) + 2/3. Suppose -a*q - 369 = -936. What is the smallest common multiple of q and 99?
693
Let d = -80919670/531 - -152391. Find the common denominator of -26/9 and d.
531
Let i(w) = -w - 1. Let d = -15 + 8. Let g(v) = -v**3 + 39*v**2 + 47*v - 244. What is the lowest common multiple of i(d) and g(40)?
36
Suppose -36 + 1750 = 13*v + 2*u, 0 = -2*u + 142 - 144. Suppose 0 = c + 4*q - 31, -c + 44 - 12 = 5*q. What is the smallest common multiple of v and c?
1188
Let c = 3544 - 350932/99. Calculate the common denominator of -107/132 and c.
396
Let n = 44 + -39. Suppose -4*f = -2*m - 10, -3*m + n*f + 0*f - 15 = 0. Calculate the common denominator of ((-2)/(-4) + m/15)*31 and -97/2.
6
Suppose -4*c - 100*z + 95*z = -55985, 5*c + z = 69955. Calculate the lowest common multiple of 7 and c.
97930
Calculate the least common multiple of 561 and 29/(406/(-56)) - -106.
1122
Suppose -32*o + 18660 = -17*o. Calculate the common denominator of 1 + -1 + 76/(-21) and (60/(-25) - -3) + o/60.
21
Let m = -2/8315 - -151337/16630. Suppose -5*c - 47 = j - 7, -3*j = 15. Calculate the common denominator of m and c + (-480)/(-54) + (-1)/(-6).
90
Let w = 263 + -261. Suppose 0 = 4*b + h - 294, 4*h + 6 = -w. What is the smallest common multiple of 18 and b?
666
Let j(f) = -14*f**2 - 140*f - 248. What is the least common multiple of 147 and j(-7)?
6762
Let q(m) = -m**3 - 7*m**2 + 7*m + 1. Let j = 23 - 21. Suppose 4*c - j*i + i + 31 = 0, -5*i + 3 = -c. What is the least common multiple of q(c) and 12?
36
Find the common denominator of -2/117 and (-770)/(-55) + 100/(-18).
117
Suppose -4*j + 14 = -3*r + 73, -5*j = -3*r + 64. Suppose 8*u = r*u - 165. Let h(l) = -2*l**3 - l**2 + 6*l - 3. What is the least common multiple of h(-3) and u?
264
Let p = -5/7763 - -597781/46578. Let f = 254/7 - 4793/140. Calculate the common denominator of f and p.
60
Let h = -192 + 132. Let y = -20 - h. Suppose 4*q = -z + 20, -76*z = -77*z - 5*q + 18. Calculate the smallest common multiple of z and y.
280
Let r be (-1 - 3)/(6 - 8). Let j(a) = 8*a - 9*a + 9*a**r + 0 - 1. Calculate the lowest common multiple of 6 and j(1).
42
Let m(d) = -d**3 - 8*d**2 - 17*d - 1. Let r be m(-3). Suppose o - 41 = -r*w + 4*o, 9 = 3*o. Calculate the least common multiple of w and 4/10 + 69/15.
10
Let r = -144 + 61. Let b be (6 + (-35)/6)/(2/r). Let c = 935/108 + b. Calculate the common denominator of -37/9 and c.
27
What is the common denominator of (((-3666)/24)/(-13))/(204/8) and -19/318?
5406
Let w = -119 - -120. Suppose 0 = 149*n - 139*n - 250. Calculate the least common multiple of n and w.
25
Let y be (38 + -37)/(2/(-6)). What is the common denominator of y - 8*(-6)/9 and -89/15?
15
Let k(j) = 2*j**3 - 7*j**2 + 5*j. Suppose 2*p = -5*a + 14, 18 = -2*a + 6*a + 5*p. What is the smallest common multiple of k(4) and (9/27)/(a/96)?
144
Let d be (-11863729641)/(-1170) - (-6)/(-45). Let k = d + -10138272. Let b = 1669 - k. Find the common denominator of 123/10 and b.
130
Let j(u) = -u**3 - 6*u**2 - 23*u + 30. Let i be j(-9). Let o = i - 471. What is the least common multiple of 11 and o?
99
Let g = -7117321/18349140 - -7/89508. Let r = g - 22/123. Calculate the common denominator of 113/48 and r.
240
Suppose -13*n + 112 - 358 = -54*n. Calculate the least common multiple of 343 and n.
2058
Suppose 9 = -j - 2*u, 0 = -0*u + 5*u + 5. What is the common denominator of -37/4 and 2 + (j/(-8))/(-1)?
8
Suppose 10*p = 5*p + 705. Let j(k) = -k**3 - 22*k**2 + 137*k + 59. What is the least common multiple of j(-27) and p?
705
Let k(o) be the second derivative of -o**5/10 + o**4/6 + 7*o**3/6 + 5*o**2/2 - 47*o. Calculate the least common multiple of 21 and k(-2).
105
Let v = 786 + -762. What is the least common multiple of v and 258?
1032
Let p = -14 + 18. Suppose 5*o + g - 4*g - 42 = 0, g - 28 = -3*o. What is the smallest common multiple of 22 and o/(45/160) + p?
396
Let w = 5/9034 + -442951/514938. What is the common denominator of w and -149/42?
798
Suppose -3*l + 186 = -p, 522 = 12*p - 15*p - 3*l. What is the smallest common multiple of (-45)/(-4)*(-236)/p and 30?
30
Let s be -6 + (2 - (1 - -1)). Let u be (-1)/((-12612)/37890 - 2/s). What is the common denominator of (2/(-11) - u/2200) + 1 and 19/12?
120
Let c be (-2)/(-3) + 68/6. Let o(k) = 20*k - 77 - 4*k + 19 - 8*k - 3*k. What is the smallest common multip