common multiple of (-17 - -6)/((-5)/5) and 393?
4323
Let b(f) = 11*f + 4. Suppose -2*q - 3*d = -4*q - 11, -4*q - 4*d = -28. Let g be b(q). Calculate the common denominator of 46/7 and 1 - (-3 - g/6).
21
Let d = 631 - 5051/8. Calculate the common denominator of -43/729 and d.
5832
Let q = 20 + -9. Suppose o - 3 - q = 0. Calculate the least common multiple of o and 10.
70
Suppose -5*k + 0*k = 4*i + 3, 5*i + 5*k = -5. What is the least common multiple of 7 and -2 + i + 5 - -1?
14
Suppose 0 = -10*w + 189 - 69. Let u(k) be the third derivative of -k**6/10 - k**5/60 - k**4/24 + k**2. Calculate the smallest common multiple of u(-1) and w.
12
Suppose -181 = 8*w - 261. Let z = 5 - -22. Suppose -2*d + 2*c - 6*c = -6, -2*d + 3*c = -z. What is the least common multiple of w and d?
90
Let q(k) = -k**2 + 4. What is the lowest common multiple of (-22)/(-5) - (-38)/(-95) and q(0)?
4
Let p be (-53)/3 + 6/9. Let j = -13 + p. What is the common denominator of 23/6 and j?
6
Let f = 23 - 19. Suppose 4*t = 5*r - 7, -f*r + 10 = 2*t - 6. Suppose -r*u + 30 = 2*i, -2*u = -u + 4*i - 20. Calculate the lowest common multiple of u and 6.
24
Suppose -p = 4*r - 60, 13*p + 5*r = 8*p + 330. Calculate the least common multiple of 153 and p.
612
Suppose 4*h + 519 = 3*q - 167, 0 = 4*h + q + 678. Calculate the common denominator of 15*(-3 + 6*(-91)/h) and -63/2.
34
Let n = -50 + -74. What is the common denominator of ((-6)/28)/3*(n - -39) and -45/2?
14
Let j = -8491/3296 - 34/103. What is the common denominator of 73/8 and j?
32
Let v(c) = 143*c**2 - 7. Let p be v(8). Let l = -54737/6 + p. Find the common denominator of ((-42)/15)/(4/12) and l.
30
Let c = 30 + -19. Let u = -4 - c. Let v = u - -21. Calculate the smallest common multiple of 12 and v.
12
Let h be -2 + (1 - 0/(-1)). Calculate the common denominator of h - ((-740)/112)/5 and (4 - 2) + (-326)/36.
252
Suppose -6*v = -11*v - 60. Calculate the common denominator of -35/16 and -1*(-10)/v*(-18)/8.
16
Let f = -2 - -4. Let n = 1 + f. Suppose 3*c = 6, 4*m - 2*m + 2*c - 18 = 0. Calculate the lowest common multiple of n and m.
21
Let m = -50 - -52. Calculate the common denominator of -149/12 and (m/540)/(50/11375).
108
What is the common denominator of 4186/4416 + (-10)/(-8) - 3 and 38/3?
96
Let h = -11577014/3329 + 3/26632. Let w = 3470 + h. Calculate the common denominator of w and -93/14.
56
Let r = -2763/4 - -688. Calculate the common denominator of r and 85/734.
1468
Suppose 9 = q - 6. Let v(i) = -i + 2. Let h(z) = z**2 - 7*z + 5. Let b be h(4). Calculate the smallest common multiple of q and v(b).
45
Calculate the common denominator of 134/(-4)*(-1)/4 and (-8)/(-1) - (-177)/((-9)/18*40).
40
Let o(k) = -3*k + 56. Calculate the smallest common multiple of o(4) and 36.
396
Let x = 58129/2 + -28356. Let w = 668 - x. Calculate the common denominator of w and (1 + 1)/((-40)/(-29)).
20
Suppose 5*q - 76 = -5*w - 21, 2*w = q + 13. Let b be ((-26)/4)/(4/8). Let d = b - -25. What is the lowest common multiple of w and d?
24
Suppose 418 = -146*m + 157*m. What is the smallest common multiple of m and 14?
266
Suppose 0 = 5*z - 6 - 14. Suppose -v + 23 = 4*w, -2*w + 4*w - z*v = 16. Let f = -10 - -14. Calculate the lowest common multiple of f and w.
12
Let r = 73784 - 182762964/2477. Let t = r - 200717/49540. Calculate the common denominator of t and 1 + 46/72*10.
180
Let o = -220715/18 + 12265. Let k(i) = 11*i**3 + 13*i**2 + 2*i + 11. Let z be k(-6). Let m = z + 26815/14. Calculate the common denominator of m and o.
126
Let h = -67 - -148. Let d = h - 63. Calculate the least common multiple of d and 54.
54
Let d be 5 + (-51999)/3005 - -4. Let r = d + 5/1202. Let q = 32/7 + 99/35. Calculate the common denominator of q and r.
10
Calculate the smallest common multiple of 15/(750/440) + (-2)/(-10) and 6.
18
Let u = 7 - 4. Let p(r) = r**3 + 3*r**2 - 9*r + 9. Let b be p(-5). Suppose 0 = -b*f + 2 + 18. Calculate the least common multiple of f and u.
15
Let v(g) = 281*g + 17. Let a be v(-3). Find the common denominator of ((-7)/(735/a))/(8/10) and -101/34.
102
Let j be ((-10)/(-7630))/(30/87493). Let h = j + 6/545. What is the common denominator of h and -87/68?
204
Let k(r) = -r - 22. Let j be k(0). Find the common denominator of -28/29 and (-20)/(-30)*(-3)/j.
319
Let k be 4/5 + (-28)/35. Suppose k = -3*a - 0*a. Suppose a = -l + 5*l - 28. What is the lowest common multiple of 5 and l?
35
Calculate the common denominator of 85/6 and (-2993)/(-292)*(6/491)/3.
2946
Let u = -2963/1560 + 72/65. What is the common denominator of 109/20 and u?
120
Let d(c) = -2*c - 4. What is the lowest common multiple of (-4 - -13) + -1*(-3)/(-3) and d(-6)?
8
Let f = -13/293 - -24423/2344. Suppose 3*u - 7 = -l, u - 2 - 2 = -2*l. What is the common denominator of l/5 + (-219)/270 and f?
72
Let z(n) = -155*n - 58. Calculate the least common multiple of z(-1) and (6/12)/((-1)/(-2)).
97
Let p = -13 - -22. Let g = 7 + p. Calculate the smallest common multiple of (1 - -4)*(4 - 0) and g.
80
Let m(l) = -l**2 - 81*l - 535. Let g be m(-74). Let k be (17/2)/((-2)/(-4)). Let o = k - g. Calculate the lowest common multiple of o and 9.
306
Let v(f) = -f + 5. Let t be v(5). Let j be (-3 + t)*(-80)/30. Calculate the common denominator of 1/12 and (59/j)/((-7)/(-4)).
84
Suppose t - 4*u + 1 = -4, -5*u + 9 = -4*t. Let v(z) = 2*z**3 - z**2 - 2*z - 1. Let l be v(t). What is the least common multiple of 8 and (-4 - -5)/l*-16?
8
Let k(y) = -y**3 - 2*y**2 + 8*y + 28. Calculate the smallest common multiple of k(-4) and 14.
28
Let c = 904 + -768. What is the lowest common multiple of 14 and c?
952
Let i = -1601 + 6483/4. Find the common denominator of i and 1/226.
452
Suppose 0 = 2*t - 17 + 13. Suppose -2*i - 30 + 4 = -t*p, 0 = 3*p + 2*i - 14. Let g = -6 + p. What is the least common multiple of g and 5?
10
Suppose 6*p - 16 = 10*p. Calculate the lowest common multiple of 12 and (-9)/18 - (34/p + 2).
12
Let l = 26 + -23. Suppose -37 = l*t - 61. What is the lowest common multiple of t and 34?
136
Let d(n) = n**2 + 3*n + 5. Let p = 18 + 11. Suppose -4*u - 2 = -v + 1, -p = -3*v + 2*u. What is the smallest common multiple of v and d(-4)?
99
Let q = -44444/31 + 1434. Find the common denominator of q and 47/2.
62
Let k = -3/365 + 22271/730. Calculate the common denominator of 2*(0 - (-14)/4) and k.
2
Suppose 0 = -2*m - 3*m + 3*w - 25, -4*w + 14 = 3*m. Find the common denominator of -1 - m - 107/14 and -53/12.
84
Let r = 1738 + -1464. Calculate the least common multiple of r and 16.
2192
Suppose 4*f - 34 = 5*t, 5*t + 10 = 5*f - 20. What is the common denominator of ((-2 - -1)*1)/8 and (-104)/14 - (11 + t)?
56
Let u(j) = 2*j**2 + 37*j - 3. Let o(k) = -k**3 + 7*k**2 - 6*k - 6. Let h(y) = -2*y - 1. Let n be h(-3). What is the least common multiple of o(n) and u(-19)?
112
Calculate the common denominator of -70/33 and (-285)/(-414)*(-8)/10.
759
Suppose 22*z + 4*c - 156 = 17*z, 4*c = -z + 44. Calculate the lowest common multiple of z and 64.
448
Suppose 0*k = 5*k - 5. Let g = -181 - -213. What is the lowest common multiple of g and (k - -1)/((-3)/(-6))?
32
Let t(m) = 14*m - 38. Calculate the common denominator of ((-2)/4)/((-4)/174) and t(3).
4
Let z = 49 + -50. Calculate the common denominator of -11/30 and -3 + (z - 0) - (-772)/132.
330
Suppose 2580 = 47*u - 42*u. Calculate the least common multiple of 28 and u.
3612
Suppose -20 = -4*j - 4. Let n(u) = 26*u - 1268. What is the least common multiple of n(50) and j?
32
Calculate the least common multiple of 7 and 10/(-4)*180/(-75).
42
Suppose 14 = a - 0*a. Calculate the common denominator of 43/(-8) + a/7 and (-359)/190 + (-6)/15.
152
Let g = 103 - 231. What is the common denominator of 19/10 and 600/g*6/15?
40
Let v be -1*(-2 - (1 + -6)). Let j(n) = -n + 4. Let r be j(-9). Let w = r - v. Calculate the lowest common multiple of w and 12.
48
Suppose 0 = -4*m + 2*r - 6 + 20, m + 5*r = -2. Suppose 2*n + m = 7. Calculate the lowest common multiple of n and 8.
8
Let a(m) = -2*m + 2 - 1 + 7 - 2. Let k be a(6). Let b = 0 - k. What is the lowest common multiple of b and 10?
30
Let t = 26027/72 - 3340/9. Calculate the common denominator of -17/383 and t.
3064
Let l = -211 - -216. What is the smallest common multiple of l and 7?
35
Let s = -20249/6748 - -26/241. 