69.
276
Suppose -i + 3*n + 38 = 0, n = -4*i - 2*n + 212. Suppose 8*f = 13*f - i. Calculate the lowest common multiple of 14 and f.
70
Suppose -228 = -2*j - 2*j + 4*s, -2*j + 4*s = -118. What is the least common multiple of 10 and j?
110
Suppose -12*t + 31 = -509. Let q = 20/1439 - 220387/15829. Let f = -15 - q. What is the common denominator of f and t?
11
Suppose -8*t + 54 + 412 = 202. Calculate the smallest common multiple of t and (-1 - (-34 + 1)) + 1.
33
Let l = 15193457/165 + -92082. What is the common denominator of -19/51 and l?
2805
Let p = 1055 - 10571/10. Suppose 19 = -2*z - 191. Calculate the common denominator of p and 4/(-20) - (-549)/z.
70
Let f = 1757/240 - 509/60. Find the common denominator of 99/80 and f.
80
What is the common denominator of -1 + -1 + (-182)/(-16) and 402/108 + -5 + (4 - -5)?
72
Let l = 13289/5 - 2668. Let u = -4543 + 36419/8. What is the common denominator of l and u?
40
Suppose -3*n + 8863 = -4*u, -n = 5*u - 3*u - 2941. Let x be (n/45)/(37188/2490). Let p = -1/1033 - x. Calculate the common denominator of p and -37/3.
18
Let d be 14/30*12/126. Let q be (2/(-16))/(225/(-20395)). Let y = d + q. Find the common denominator of y and -39/4.
8
Let j = -35 - -44. Calculate the least common multiple of 18 and j.
18
Suppose -4*j - 3*v = -19, 4*j - 40 = 5*v - v. Let w(i) = i + 7. Let y be w(-3). Let k(t) = t + 2. Calculate the smallest common multiple of k(y) and j.
42
Calculate the least common multiple of 51 - (-2 + 18/6) and 45.
450
Suppose 122 = 4*y + 5*f, 2*y + 4*f = 20 + 38. Let j = -1026 + 3023/3. What is the common denominator of -1 - -1 - y/(-30) and j?
30
Let h(x) = -3*x**2 + 12*x - 1. Let w be h(3). Suppose -10*y = 62 + w. Calculate the common denominator of 19/8 and y.
8
Let y = 2279 + -1935. Calculate the lowest common multiple of y and 473.
3784
What is the common denominator of 103/78 and 2940/1400*35/(-36)?
312
Let t be ((-1095)/45)/(1/9). What is the common denominator of (t/(-72))/(11/(-33)) and 3/(-8)*53/(-6)?
16
Let n(g) = 9*g**2 + 62*g + 33. Calculate the lowest common multiple of n(-11) and 10.
440
Let v = -265243/45909 - 1/5101. What is the common denominator of 53/99 and v?
99
Let g = -46762/15 + 3120. What is the common denominator of 70/33 and g?
165
Let x = 48 + -31. Suppose -99 = -0*f - 3*f. Suppose -x = -5*m + f. Calculate the lowest common multiple of m and 1.
10
Suppose -66*t = -32*t - 12750. What is the lowest common multiple of 33 and t?
4125
Let y = -38520 - -2311261/60. Find the common denominator of 94/45 and y.
180
Let a(g) = -3*g - 3. Suppose 3*n = -4*c - n + 52, 0 = 3*c - 2*n - 24. Let r = -4 + c. Calculate the lowest common multiple of a(-5) and r.
12
Let p(j) = j**3 - 6*j**2 + 2*j + 5. Let v be p(5). Let a = v + 22. What is the least common multiple of 28 and a?
84
Let w = 58439/9620 - 60/481. Find the common denominator of w and (-435)/(-24)*(-6)/(-45).
60
Let f be (1 - 3260/1627) + 1. Let i = 128581/13016 + f. What is the common denominator of i and -91/30?
120
Let m(f) = f**2 - 5*f - 8. Suppose 0 = 2*q + 8. Let c be (-8)/(16/q) + 5. Calculate the least common multiple of 18 and m(c).
18
Suppose 2*n = -2*n + 5*c + 13, 2*c = -4*n + 6. Calculate the common denominator of 13/20 and n + 4/((-96)/(-164)).
60
Let n = 3622371/11203048 - 3/48289. Calculate the common denominator of -95/16 and n.
464
Suppose -f = -d + 31, d - f + 4*f - 11 = 0. Suppose 2*c - d = -2*m, 2*m = 3*m + 5. What is the smallest common multiple of c and 84?
252
Let a be 6/21 - (-1598)/(-5495). Let j = a + 8671/7065. Calculate the common denominator of 33 and j.
9
Let n(l) be the second derivative of -l**4/12 - 7*l**3/3 - 8*l**2 - 20*l. What is the least common multiple of n(-12) and 2?
8
Let a be 1600/112 + (-4)/14. Suppose 10*b - 8*b - a = 0. Let z(r) = 3*r - 5. What is the least common multiple of z(b) and 18?
144
Find the common denominator of 756/20*(-1)/(-12) and 1/((-4)/45) + 28/(-56).
20
Let g be 8/2 + (-6 - -9). Let r be (1 - 2)/(g/(-21)). Suppose 5*n = z - 21, 0*n - 3*n - 51 = -r*z. What is the least common multiple of z and 10?
80
Let p(y) = y**3 + 2*y**2 - 14*y. Let b be p(-6). Calculate the lowest common multiple of 26 and (-1328)/b + 2/(-15).
286
Let m = -6 - -10. Suppose 6*i = m*i + 118. Let u = i - 37. What is the smallest common multiple of 16 and u?
176
Suppose 3*l - 2*p = 52613, p - 87688 = -5*l + 4*p. Let q = 456029/26 - l. Find the common denominator of 59*(222/(-32) + 7) and q.
208
Let y(k) = 2*k**2 + 2*k - 20. Calculate the lowest common multiple of 12 and y(-5).
60
Let x(k) = 4*k - 2. Let v be x(2). Let q be 6/2 + 27719/v. Let j = -4598 + q. Calculate the common denominator of 31/7 and j.
42
Let o = 1351/3 + -468. Let v = o - 1/6. Let m = -1787 - -21509/12. Find the common denominator of m and v.
12
Let g(t) = -59*t - 751. Calculate the least common multiple of g(-14) and 45.
225
Let s = -9/3637 - -440527/181850. Find the common denominator of -101/10 and s.
50
Suppose 7*h - 12*h + 20 = 0. Suppose 6*a = 5*a + n, 0 = -3*a - h*n + 7. What is the lowest common multiple of 5 and a?
5
Let t = 860 + -52505/61. Calculate the common denominator of t and 35.
61
Let m = 2676290049/5140 + -520679. Let s = 8168/3855 + m. What is the common denominator of 111/40 and s?
120
Let y = 244/739 + -1137758/3450391. Let c = 99370981087951/19387839139032 - 31/1038115182. Let v = y - c. Calculate the common denominator of -67/14 and v.
56
What is the common denominator of (42*2/(-15))/2 and -8/11?
55
Suppose 0 = -y - 4*s + 568, -50*s - 2878 = -5*y - 51*s. What is the smallest common multiple of 18 and y?
576
Let k(c) = 3*c**2 + 6*c - 18. Calculate the smallest common multiple of 54 and k(-6).
54
Let a(c) = -28*c + 2. Let w be a(-4). Find the common denominator of 37/20 and -1 + w/4*(-10 - -9).
20
Suppose 3*o = -3 + 15. Suppose -o*n + 140 = -3*n. Calculate the common denominator of ((-90)/(-21))/(176/n) and 119/18.
198
Calculate the least common multiple of 425*11/55 + (-21)/3 and 120.
1560
Suppose -3*k - 2 = -5*k + 4*q, -2*k + 2 = -3*q. Let j = 201 - -91. What is the common denominator of 17/6 and k/2 + j/(-48)?
12
Let b = -345 + 360. Let l(i) = -i**3 + 3*i**2 + 1. What is the least common multiple of l(2) and b?
15
What is the least common multiple of (170/6 + -5)*(-36)/(-14) and 8?
120
What is the lowest common multiple of 39 + (7 + 0 - 1) and 20?
180
Let o = 28 + -27. Let a(w) = w**3 - w**2 - w - 4. Let j be a(3). Let y = j + -9. Calculate the least common multiple of y and o.
2
Let s be (-1 + 14/6)*195/(-10). Let x = -201/4 - s. What is the common denominator of 29*(-1 - 14/(-10)) and x?
20
Let d = -1362 - -40949/30. Find the common denominator of d and (-2086)/(-168) + -12 + -2.
60
Calculate the lowest common multiple of 268 and 42 - ((-43)/(-7) - (-7)/(-49)).
2412
Suppose -3*g + 6*g - 45 = 0. Let p be 48201/g + 6/(-15). Find the common denominator of (-1)/(-5) - p/(-560) and -107/6.
48
Let t = 610/9 + -415/9. Find the common denominator of -41/69 and t.
69
Let o = -271/699 + 51889/58716. What is the common denominator of o and 125/54?
756
Let w(r) = r**2 + 2*r + 4. What is the smallest common multiple of w(-2) and 75?
300
Suppose s - 9*s = -48. What is the common denominator of s/(-24) - (-482)/(-24) and (8/12)/((-16)/(-79))?
24
Let d(q) = q**3 + 33*q**2 + 185*q + 37. What is the smallest common multiple of d(-25) and 18?
3708
Let j = 21 + -12. Let y(v) = -8*v**2 - 6 + 16*v - 6*v + 5*v + 9*v**2. Calculate the lowest common multiple of j and y(-16).
90
Suppose -3*l - 2*d = 0, 0 = -2*d + d - 3. Suppose 155 = 4*h + 111. Calculate the least common multiple of h and l.
22
Let c = -238643/24 + 9938. Calculate the common denominator of -25/27 and c.
216
Let o = -190 - -98. Let b = 102 + o. Calculate the lowest common multiple of (2/5)/(3/60) and b.
40
Suppose 4*j = j - 5*w + 2, 0 = 4*j + 4*w - 8. Suppose 5*q + 17 = -j*k, 2*k - k - 7 = q. Calculate the common denominator of 8/9 and (-68)/10 + 0/k.
45
Let z = 1348 - 312. Let p = 4641 - z. What is the common denominator of -47/5 and 2/11 + p/440?
40
Suppose -5*l = -3*l - 8. Calculate the smallest common multiple of l and 326.
652
Suppose q + 16*s = 11*s + 8, -s = 2. Calculate the least common multiple of 12 and q.
36
Let r = 445 + -351. Calculate the smallest