
Let w be 2*(-3)/6*3. Let q(j) = 5*j**2 + 5*j + 4. Let s be q(w). Calculate the common denominator of -79/18 and -2 + 2*s/(-24).
18
Suppose 0*y - 5 = -y - 4*u, 0 = -4*u. Calculate the lowest common multiple of 5 and y.
5
Let u be (-4)/2 + 28/2. What is the smallest common multiple of ((-7)/(-21))/(1/u) and 1?
4
Suppose 2*u + 2 = 16. Let n = -49 + 51. What is the smallest common multiple of u and n?
14
Let t = 58924/9 + -6540. Find the common denominator of 1/9 and t.
9
Let v(x) = x**2 - 12*x - 8. Calculate the least common multiple of 8 and v(13).
40
Let z = 736/5 + -5953/40. Let i = -93 + 173. Calculate the common denominator of (12/i)/((-3)/(-94)) and z.
40
Suppose -2*o + 7 = 3. Calculate the least common multiple of o and 35.
70
Let w(t) = t + 2. Let r be w(0). Find the common denominator of r + 45/(-6) - 0 and -83/16.
16
Calculate the least common multiple of 4 and -33*(-3)/(-3)*(-4)/12.
44
What is the common denominator of (-105)/(-21) - (-43)/4 and -37/12?
12
Let p(d) = -d**2 - 6*d + 7. Calculate the smallest common multiple of 3 and p(-6).
21
Let w = 8 - 12. What is the common denominator of 53/6 and ((-2)/w)/((-12)/267)?
24
Let u = 5281/152 - 558/19. Calculate the common denominator of 8/(-10) + 1421/(-630) and u.
72
Calculate the common denominator of (-6)/16*(-77)/(-6) and (-36)/(-30)*25/(-32).
16
Let v(a) = -6*a**2 - 3*a + 3. Let y be v(2). Let m be (5/15)/((-1)/y). Let i = 0 + m. What is the least common multiple of 11 and i?
99
Let s = 52777/430 - 612/5. Let u = 1628/301 - s. Let v = -10189 + 183481/18. Calculate the common denominator of v and u.
126
Let d(p) = p - 4. Let k be d(5). Calculate the least common multiple of 1 - k - (0 + -1) and 13.
13
Find the common denominator of 63/16 and (1/33)/(6/405).
176
Let m = -26 + 30. Calculate the least common multiple of 2 and m.
4
Find the common denominator of 17/5 and (-23)/69 - (2 + 187/(-84)).
140
Let w = -1149813 - -12620538/11. Let i = -2489 - w. Calculate the common denominator of i and 117/10.
110
Calculate the common denominator of -97/12 and (114/12)/(66/(-4)).
132
Suppose 0 = 4*p - 72 - 88. Let c = -18 + p. Calculate the smallest common multiple of c and 0 + (-1 - -3) - -2.
44
Let x = 16 + -11. Let a(f) = -f**3 + 7*f**2 - 4*f - 7. Let s be a(6). Suppose 7*b = 2*b + 5*k, 4*b = -s*k + 27. Calculate the least common multiple of x and b.
15
Let n = 1/35 + -39/140. Calculate the common denominator of ((-2)/(-8))/((-10)/(-530)) and n.
4
Let b = 9 - 93. Find the common denominator of (22/128)/(3/b) and 47/10.
80
Let b = -2128/261 - -52/87. What is the common denominator of b and -58/9?
9
Let a(s) = -s**3 + 5*s**2 + 4. Let o be a(5). Let m = o + -2. Suppose -n = -m - 2. What is the smallest common multiple of n and 10?
20
Suppose -3 - 5 = -u. Suppose 4*z + 5*g = -4 - 21, 6 = 2*g. What is the smallest common multiple of u and (8/z)/((-4)/10)?
8
Let f(a) = a**2 - 4*a + 5. Let s be f(4). Calculate the common denominator of (54/s)/1 + -1 and -33.
5
Let r be (-524)/(-26) - 14/91. Let a = -9 + r. Calculate the least common multiple of 3 and a.
33
Let n = -112237/10 + 11235. Find the common denominator of (2 - (-1239)/(-574)) + 0 and n.
410
Let d = 10/83 + -754/747. Find the common denominator of d and (-4)/2 + (-141)/15.
45
Let n(d) be the third derivative of -d**6/120 + 11*d**5/60 + d**4/24 - 6*d**2. What is the smallest common multiple of 6 and n(11)?
66
Let t(j) = -2*j**3 + j + 2. What is the least common multiple of t(-2) and 36?
144
Suppose 0 = y - 4*j - 40, j = 2 + 2. What is the common denominator of 0 + 4/(y/(-109)) and 49/20?
140
Suppose 2*t = 6*t + 48. Let s be (-13 + 12)/(2/116). Calculate the common denominator of 1/t*(0 - s) and 6/5.
30
Find the common denominator of (5/7)/(7/77) and 142/2*(-1)/4.
28
Let m(i) be the second derivative of i**3/6 + 7*i**2/2 - 2*i. Let f be m(-4). Suppose 2 = f*p - 13. Calculate the smallest common multiple of 7 and p.
35
Let r = 1/746 - -36549/3730. What is the common denominator of r and (-28)/10*420/(-96)?
20
Let m(i) = -i**3 + 13*i**2 - 11*i - 6. What is the smallest common multiple of m(12) and 16?
48
Let n = 0 + 18. Calculate the least common multiple of n and 8.
72
Suppose h = -3*h - 20. Let w = -1 - h. Calculate the smallest common multiple of 7 and w.
28
Let t = 1654 + -4898/3. Find the common denominator of t and -27/17.
51
Let i(y) = -y**3 + 10*y**2 - y + 9. Let v be i(10). Calculate the least common multiple of v/2*(-4 + -4) and 18.
36
Let r = 180 + -176. What is the smallest common multiple of 24 and r?
24
Let c = -88545/32 - -2768. Let q = 699/352 + c. Find the common denominator of q and (-290)/(-36) - (-4)/(-6).
198
Suppose 2*b = -4*c + 24, c - 62 = -b - 3*b. Suppose -l = -b + 6. Let i = -1 + 8. Calculate the lowest common multiple of l and i.
70
Let y = 16 - 6. Calculate the least common multiple of 6 and y.
30
Let i = 80 + -18. What is the common denominator of i/8*1/(-2) and -79/6?
24
Let k(c) = -c + 8. Let p = -9 + 15. Calculate the smallest common multiple of k(2) and p.
6
Suppose -12*n + 480 = 4*n. What is the least common multiple of n and 36?
180
Let c be (0 + 57)/(6/4). Suppose 4*r - c = -4*s + 38, 2*s = 4*r + 32. What is the lowest common multiple of 22 and s?
198
Suppose 0 = 3*j + r + 1, 0 = 5*j + r - 0 + 1. Suppose -5*f - 15795 + 3315 = j. Let n = f + 20015/8. Calculate the common denominator of n and -137/12.
24
Suppose -3*y + 3 - 15 = 0, 5*a = 2*y + 18. Suppose -2*p = -2 - 4, -3*p = 5*q - 49. Calculate the smallest common multiple of q and a.
8
Suppose 9*k - 4*k = 30. Let o = k - 5. What is the lowest common multiple of ((-16)/5)/(6/(-15)) and o?
8
Calculate the common denominator of -23/2 and (-15)/40*228/21.
14
Let v = 873 + -863. Suppose 0 = -5*s + 93 - 33. What is the smallest common multiple of s and v?
60
Let a be (0 + -1)/((-4)/(-12)). Let g be 2/a - (-22)/6. Suppose 5*d - 19 = -o, d = -o + g - 0. What is the smallest common multiple of d and 14?
28
Let a = 108 + -102. Calculate the smallest common multiple of 6 and a.
6
What is the lowest common multiple of (-1)/4 - 153/(-36) and 1 + (3*2)/1?
28
Let u = 13161 - 473683/36. Calculate the common denominator of -32 and u.
36
Suppose 2*d - 33 = o - 13, -30 = -4*d - 3*o. Suppose -3*b + 3*z - d = -6*b, -5 = -b + z. What is the smallest common multiple of 16 and b?
16
Let l be (-3)/3 - (-1155)/1171. Let x = l - -2945097/2342. Let n = x - 1224. Calculate the common denominator of n and -38/11.
22
Let i(g) = g**3 - 19*g**2 + 20*g - 22. What is the smallest common multiple of i(18) and 14?
14
Let t(u) = -414*u - 4. Let n be t(-7). Let s = -23195/8 + n. Find the common denominator of s and 47/7.
56
Let a = 167 + -7455/44. What is the common denominator of 31/40 and a?
440
Let f = 4 + -10. Let z be 30*f/(-45)*3. Let l = 20 - z. Calculate the smallest common multiple of 2 and l.
8
Suppose c - 3*w - 90 - 19 = 0, -357 = -3*c - w. Let l = 593/9 - -445/9. Let n = l - c. Calculate the common denominator of n and -16/9.
9
Find the common denominator of 14/33*(-1 + -5) and 20/113.
1243
Let t(i) = -i**2 + 25*i + 90. What is the least common multiple of 44 and t(27)?
396
Let h(b) = 3*b**2 + 34*b + 13. What is the smallest common multiple of h(-11) and 6?
6
Let j(q) = 13*q**3 - q**2 + 1. Suppose -9 = -3*u + 6*u, 5*u + 14 = -t. Let a be j(t). Let o = 21 - a. Calculate the least common multiple of 10 and o.
40
Suppose -s = -0*s - 2. What is the smallest common multiple of 6 and s?
6
Calculate the lowest common multiple of 2 + (2*-9)/(-3) and 4.
8
Calculate the common denominator of -1 + (-194)/16 + 4 and -15/22.
88
Let b be (-7)/2247*(-18)/(-4). Let t = b - 3525/428. What is the common denominator of 1/(-2) - (-103)/(-18) and t?
36
Let o be (-1)/((-2)/(3 + 1)). Suppose 4*k = -o*u + 4, -u + k = -2*k - 22. Calculate the lowest common multiple of u and 6.
30
Let i(y) = -y**2 - 13*y - 8. Calculate the least common multiple of 8 and i(-10).
88
Let u = -23638191/10 + 2368363. Let m = -4548 + u. What is the common denominator of 11/14 and m?
70
Suppose -24 = -2*c + 2*i, c + 5*i - 2 = i. Calculate the smallest common multiple of c and 2.
10
Find the common denominator of ((-52)/36)/((-1 - 2)/(-6)) and -76/3.
9
Suppose 3*u - 39 = -3*b, 5*u + 3*b = -0*b + 71. What is the lowest common mult