 0 + 1/(4/8). Find the common denominator of ((-1)/x)/(132/444) and 117/20.
220
Let m be 6/(-21) - 306/7. Let h be (-1856)/m - 2/11. Suppose -4*f - 2*t = -h, -3*f = t - 12 - 19. What is the least common multiple of f and 12?
60
Let o = 705 - 651. Let s = -10 + 28. What is the least common multiple of s and o?
54
Let u = 100 + -169. Find the common denominator of 134/18 - u/(-23) and ((-36)/40 - -1)*-111.
90
Suppose -5*y + 4*h + 26 = 2*h, y - 16 = 4*h. Suppose -n + 176 = 3*c, -y*c - 3*n + 238 = -n. Calculate the smallest common multiple of 1 and c.
57
Let w be -18*((-508)/(-8) + 0). Let g be (7/(-14))/(8/w). Let y = g - 71. Find the common denominator of -17/6 and y.
48
Let q = -23 + -68. Let r = q - -98. Calculate the lowest common multiple of r and 1.
7
Let g(m) = m**2 - 28*m + 8. What is the lowest common multiple of 76 and g(28)?
152
Let x(w) = w**3 + 6*w**2 + 8*w + 3. Let h be x(-4). Let l = -102 + h. Find the common denominator of -7/8 and (-2 - l)/((-30)/(-5)).
24
Let u be (3*122)/(4/58). Let l = 2404 - u. Let y = 34763/12 + l. Calculate the common denominator of 29/12 and y.
12
Let o(y) = y**2 + 15*y - 212. Let m(p) = 6*p**3 - 1. Let s be m(1). Suppose s*r + 22 = 97. What is the lowest common multiple of o(9) and r?
60
Suppose s - 1112 = -4*f, 3*s + 3*f = 2*f + 3292. Calculate the common denominator of -1 - ((-66)/8 + 2) and (-6)/4*s/(-144).
12
Let b be 4/(-10) - (-29326)/(-10). Let a(p) = p**3 - 24*p**2 - 17*p - 178. Let o be a(25). Calculate the common denominator of 4/o - b/(-462) and -57/2.
6
Let l be (-175)/(-308)*169628/10. Let x = -9643 + l. Let t = -1/1689 + 46733/6756. Find the common denominator of t and x.
132
Let k = -93 + 209. Let f = 124 - k. Calculate the lowest common multiple of 10 and f.
40
Calculate the lowest common multiple of (9 + 24/4)*42/9 and 7.
70
Suppose g + 0*g - 4*i = -16, -3*i + 11 = -g. Calculate the lowest common multiple of g and 320.
320
Let y = -17/83 + -6655/332. What is the common denominator of (-114)/(-9690)*(-485)/2 and y?
68
Let y = 3698 + -118325/32. Calculate the common denominator of y and 127/96.
96
Let h(l) = -l**2 + 9*l - 3. Let t be h(8). Suppose -i - 9 = -5*p, 6*p - 45 = -t*i + p. What is the least common multiple of i and 22?
66
Suppose -5*o - 2090 = 1295. Let x = 7489/11 + o. Calculate the common denominator of x and 32/11.
11
Let h = 9331/3455 - 1/1382. Calculate the common denominator of 1/60 and h.
60
Let w(c) = 11191*c + 1. Let f(b) = 5595*b + 1. Let n(v) = 9*f(v) - 4*w(v). Let g be n(-2). Let i = g - -290703/26. What is the common denominator of i and 65/3?
78
Suppose 16 = -3*o - 4*c, o + 5*c = -2 + 4. Calculate the smallest common multiple of (-134)/(-4) + 119/14 + o and 20.
340
Let x = 30 - 10. Suppose 0 = -3*z - 0 + 36. Calculate the smallest common multiple of x and z.
60
Let h(k) = -k**3 + 9*k**2 + 12. Let l be h(10). Let w = l - -175. Suppose w + 23 = 5*p. What is the smallest common multiple of 20 and p?
220
Let p = 917/13 + -10159/156. Let x = 78/35 - 4169/630. What is the common denominator of p and x?
36
Let r(p) = p**3 + 8*p**2 + 6*p + 1. Let y be ((-6)/(-1))/(9/3). Let h be y + 2/2 + -10. Calculate the least common multiple of 22 and r(h).
88
Suppose 0 = 2*v - 2, 47 + 17 = -5*l + 4*v. What is the common denominator of 47/6 and -4 - (-12)/15*(-152)/l?
30
Calculate the smallest common multiple of 18 and (-1 + 19)*(-25)/(-50).
18
Let b be 1 - 2 - 58/(-1). Let t = 151 - b. What is the smallest common multiple of t and 12?
564
Let b(j) = j**3 - 6*j**2 - 4*j - 6. Suppose 0 = 4*k + g - 2*g - 31, 0 = -2*g - 6. Let s be b(k). What is the least common multiple of 16 and 111/6 - s/(-10)?
80
Let i be (-1383 - 5) + (-12)/(-2). Let d = -60 - -18. Calculate the common denominator of i/(-112) + (-12)/d and 43/6.
24
Let h = 47 - 76. Let v = h + 53. Calculate the least common multiple of v and 6.
24
Let o(m) = 4*m**2 - 4*m + 2. Let c(z) = z**3 + 52*z**2 + 2*z + 110. What is the least common multiple of o(2) and c(-52)?
30
Let p = -1603/4 + 3291/8. Find the common denominator of -73/36 and p.
72
Let c(b) = -2*b**2 - 7*b + 8. Let j = 0 - 3. Let v = j - -4. What is the lowest common multiple of c(-4) and v?
4
Let x(g) = g**3 + 13*g**2 + g + 23. Let u be x(-10). Find the common denominator of u/30 - 3 - 2 and 79/24.
120
Let o = -16 + 32. Let h be o/(-4) + 6 + -3. Calculate the common denominator of 77/20 and 312/(-80) + (0 - h).
20
Let u(t) = t - 5. Let b(q) = 6*q - 25. Let h(g) = -2*b(g) + 11*u(g). Let k = 227 - 235. Calculate the lowest common multiple of h(k) and 9.
9
Let v(m) = m + 37. Let g be v(10). Suppose -g = 3*b - 59. Calculate the least common multiple of b and 4.
4
What is the least common multiple of 6 and (-4)/((56/256)/(-7))?
384
Suppose -6 = -32*u + 29*u. What is the smallest common multiple of u and 35?
70
Let a = -32 - -17. What is the common denominator of (-33)/10 + 3/a and 0*(-9)/144 - 34/12?
6
Suppose -630 = -5*x - 5*f, -3*x - f = 3*f - 378. Suppose -3*v + x = 5*i - 7*v, 3*i - 58 = -2*v. What is the lowest common multiple of i and 2?
22
Suppose 343 = 2*o + 3*f, 3*o + 3*f - 8*f = 543. Calculate the smallest common multiple of o and 3.
528
Let r = 7190/9 - 793. Calculate the common denominator of r and -149/12.
36
Suppose k - 11 = -2*y + 6, -4*y + 19 = 5*k. Calculate the least common multiple of 351/297 + (-4)/22 and y.
11
Let z be (-1)/(-4)*-2*-16. Let f = z + 0. Suppose -2*g + 0*g = -f. What is the least common multiple of g and 10?
20
Let w = 288557/170436 - 126/2029. Calculate the common denominator of -81/10 and w.
420
Let s be (-6 - -1) + -15 + 14. Let i be s/(9/12 - 0). Let g = i - -13. What is the smallest common multiple of 8 and g?
40
Let i(l) = 14*l**2 + 32*l - 6. Calculate the smallest common multiple of i(3) and 24.
216
Let x = 2353/2 - 1126. Let f = 1097/4 - 273. What is the common denominator of x and f?
4
What is the common denominator of (-85)/2*207/2484 and 1 - (-1)/((-42)/(-68))?
168
Suppose q + 2*q = -4*c + 81, c + 2*q - 14 = 0. Suppose 2*y - 2 = 2. Calculate the common denominator of y/c - (7 + -6) and 101/10.
60
Let m(t) = -65*t - 302. What is the lowest common multiple of m(-5) and 115?
115
Let y = -198 - -231. Calculate the lowest common multiple of y and 105.
1155
Suppose r = 4*m - 90, 3*r - r = -4*m + 84. Let g = 190 + -125. Let f = g - m. Find the common denominator of f and -77/6.
6
Let y = -643 + 1371/2. Calculate the common denominator of 4 + -3 - 101/108 and y.
108
Let p be (-1 + 4)/(11/33). Let h(w) = 0 - 23*w - 5 + 26*w. Calculate the common denominator of h(p) and -145/6.
6
Let s = -16303/12 + 1357. Find the common denominator of 125/48 and s.
48
What is the common denominator of 71/35 and (-15312)/(-864) + 4/9?
210
Suppose 0*a + 4*d = -a + 513, -5*a + 5*d + 2590 = 0. Let z = a + 1034. What is the common denominator of (-4)/(-18) - z/540 and 107/22?
220
Let u be 4/(-14) + 146816/(-1232). Suppose -2*s - 242 = -2*h, 5*h + 280 = -s + 879. Let a = u + h. What is the common denominator of a and -85/2?
22
Let s = 979 + -963. Calculate the least common multiple of 24 and s.
48
Let p = -1/5079 + -340271/111738. What is the common denominator of 89/210 and p?
2310
Let d be 3/(-1 - 26/(-20)). What is the common denominator of (d/240)/(1/(-158)) and -1*(-1)/2*-73?
12
Suppose 5*g - 42 = 2*y, -4*y + 66 = -37*g + 42*g. Let w(u) = -4*u - 1. Calculate the least common multiple of w(-1) and g.
30
Suppose 0 = -r + 19 + 5. What is the least common multiple of 24 and r?
24
Find the common denominator of (-1144)/(-48) + 12*3/(-6) and 101/842.
2526
Suppose 2*c - 10 = n, -n + 10 = n + 2*c. Suppose -2*g - 3 + 23 = n. Suppose -k - 16 = -5*k. What is the smallest common multiple of g and k?
20
Let v(x) = x**2 - x + 3. Calculate the least common multiple of v(2) and 192.
960
Suppose -2*p - 3*n + 21 = -0, n + 5 = 0. Let o(s) be the second derivative of -s**3/6 + 4*s**2 + s. What is the smallest common multiple of o(6) and p?
18
Let h(o) = -o**2 - 8*o. Let l be h(-7). Suppose 5*a - l = 18. Suppose 0 - 6 = d - a*z, -4*z = -8. What is the smallest common multiple of d and 11?
44
Suppose 0 = 6*u - u - 20. Suppose -3*n - r = 2*r - 24, -5*n - 4*r = -42. What is the lowest common multiple of n and u?
20
Suppose r + 4*v + 2 = 0, 2 + 9 = 3*r - 5*v. Let a = r - -22. What