on multiple of k and a.
24
Let k be (-2)/(-10)*2479/2. Let y = k + -300. Let o = y + 23/5. Calculate the common denominator of 33/28 and o.
28
Suppose 0 = 3*n - 2*w - 80, -n = 9*w - 8*w - 20. Calculate the lowest common multiple of 152 and n.
456
Let k be 12/5 + 3/5. Let s(z) = -z**2 + 12*z - 24. Calculate the smallest common multiple of 6 and s(k).
6
Let z = 1081 - 1015. Calculate the least common multiple of z and 8.
264
Let b = -38 - -42. Suppose 2*u - b*c + 2 = u, 2 = c. Suppose t - 27 = -2*t. What is the smallest common multiple of u and t?
18
Suppose 45 = -17*q + 12*q. Let m = q - -18. What is the least common multiple of m and 6?
18
Let q = -1 - -13. Let f = q + -5. What is the least common multiple of f and 4?
28
Let s = 3300 - 6787/2. Let a = 49 + s. Calculate the common denominator of -17 + 2784/160 + 0 + 68/(-70) and a.
14
Let w be ((-1)/(324/(-7)))/((-6)/(-18)). Let v = w - -1147/216. What is the common denominator of -31/44 and v?
88
Let c = 1323 + -178606/135. Let w be (-2362)/540 + (-6)/(-9). Let y = c - w. Calculate the common denominator of -61/3 and y.
30
Let a = -55627418791/10 + 5567187964. Let u = a + -4436948. Let c = u - 9147. What is the common denominator of c and 75/4?
20
Let b(i) = 5*i - 2. Suppose f + 2*f = -5*z + 4, 0 = -5*z + f + 12. What is the smallest common multiple of 20 and b(z)?
40
Suppose a - 7 = 3*p - 2, 0 = 2*p + a. Let m = p - -39. Calculate the smallest common multiple of m and 20.
380
Let n be ((-3)/2)/((-6)/8). What is the common denominator of 7 - 16 - 4*(-332)/96 and 1/n - 85/(-12)?
12
Suppose -26 = -3*w + 22. Suppose -w*y + 15*y = 0. Calculate the common denominator of -57/2 and 209/(-88) - (y - -2).
8
Suppose -46 = -4*l + 2. Let y be (-1341)/l*2/(-1230). Let q = y + 134/41. Find the common denominator of -69/4 and q.
20
Suppose -5*b + 425 = 12*b. What is the lowest common multiple of 45 and b?
225
Let r be 18/(-27) - 29/(-3). Suppose r*w = 13*w - 88. Suppose -3*v = -u - 14, v - 3*v - 4*u = 14. What is the smallest common multiple of v and w?
66
Let w = 1/5805 + -138161/11610. Let r be (-2531)/6*(-2)/22. Let l = r + -486/11. Calculate the common denominator of w and l.
30
Let z = 287 - 27. Calculate the lowest common multiple of 16 and z.
1040
Let r = 940 - 1520. Let m = r + 5162/9. Calculate the common denominator of m and 15/13.
117
Let b(w) = 5*w**2 + 4. Suppose 48 = 4*a + 12*a. What is the common denominator of b(a) and (-348)/(-70) + 4/(-10)?
7
Suppose 0 = -3*p + p + 3*f - 669, 5*f = 2*p + 675. Find the common denominator of -45/16 and p/56*(-140)/720.
48
Let k = -413 - -440. Calculate the smallest common multiple of k and 30.
270
Let i = 10 + 2. Suppose -457 = -16*j - 393. What is the lowest common multiple of j and i?
12
Suppose -2*r - r + 27 = 0. Suppose -2*p - 2*k + 10 = 0, 0*p + 4*p - k - 20 = 0. Suppose 0 = -p*o + 31 + 4. What is the least common multiple of o and r?
63
Let y = -289 + 61. What is the smallest common multiple of 7 and y/19*(-6)/8?
63
Let v(g) = 2*g - 11. Let n be v(7). Let u be -3 - n*(-41469)/(-66). Let p = 1890 + u. Find the common denominator of p and -9/4.
44
Let u = -159 + 165. Suppose 0*j = 6*j - 60. Calculate the lowest common multiple of j and u.
30
Let p(s) = 7*s**2 + 16*s - 45. Let i(a) = 4*a**2 + 9*a - 23. Let k(w) = 5*i(w) - 3*p(w). Let t = 16 - 22. Calculate the lowest common multiple of 22 and k(t).
22
Let d(l) = -l**3 + 8*l**2 + 10*l - 11. Let p be d(9). Find the common denominator of (p/20)/((-16)/520) and 75/14.
28
Let m be 4 - (0 - 2) - 4. Suppose -3*i - 41 = -4*c, -3*i + 5*i + 22 = m*c. Calculate the lowest common multiple of 4 and c.
8
Let b(a) = -65*a - 11. Let c be b(5). What is the common denominator of 189/c*(-12)/(-5) and 125/36?
180
Let j = -4080 + 4089. Calculate the smallest common multiple of j and (-1 + -9)*(-6)/5.
36
Suppose -2*t = -o - 4, 3*o - 20 = 8*o - 3*t. Let y = o - -26. Calculate the smallest common multiple of 48 and y.
528
Let o be (6/9)/(4/18). Suppose -36 = -2*k - i + 5*i, o*i = -12. What is the smallest common multiple of 30 and k?
30
What is the common denominator of -61/190 and 0/2 + 15/((-210)/(-133))?
190
Let h be 363713/(-18) - (-6)/(-27). Let o = 20818 + h. Let y = o - 584. Find the common denominator of y and -61/22.
22
Let b = -1331/14 + 95. Let h(d) = -d**3 - 15*d**2 + 2*d - 16. Let k be h(-10). What is the common denominator of (1 - (-14)/(-12))/((-8)/k) and b?
42
What is the common denominator of (-5)/18*3*384/(-855) and 67/152?
1368
Calculate the common denominator of 3 - 1 - 8 - (-6399)/945 and 73/210.
210
Suppose 5*k - 4 = -3*x, 12 = 5*k + x - 2*x. Suppose 2*b = -k*i, -5*b - 27 = -2*i + 8. Calculate the lowest common multiple of 8 and i.
40
Suppose 7*f = f + 8304. Calculate the common denominator of (-2)/12 + f/(-120) and (-159)/44 - (-1)/(-4).
110
Let a(i) = -i**3 - 4*i**2 + 6*i - 13. Let k(l) = -l**3 - 3*l**2 + 6*l - 13. Let h(z) = 5*a(z) - 4*k(z). What is the least common multiple of h(-9) and 4?
28
Let o(p) = -p**2 + 13*p - 12. Let m be o(11). What is the least common multiple of 4/(-2 - (-10)/4) and ((-90)/25)/(-6)*m?
24
Calculate the common denominator of 44/13 and ((-5066)/(-2975))/((-12)/(-7)).
1950
Let m = -2/3725 - 6679/48425. What is the common denominator of 13/5 and m?
65
Suppose n - 3*f - 13 = 0, -5*n + f + 11 = -3*n. Suppose 3*z - n*z = 4*l - 95, z - 26 = -l. Let y = 11 + -7. Calculate the smallest common multiple of l and y.
92
Let z = -3555 + 145772/41. Calculate the common denominator of ((-14)/(-21))/(1/28) and z.
123
Let p(t) = 5*t**2 - 2*t + 3. Let w(n) = -6*n**2 + n - 4. Let a(f) = 7*p(f) + 6*w(f). What is the least common multiple of 8 and a(-5)?
24
Suppose -5*v + 0*v = -5*f, 0 = -3*f - 4*v + 21. Calculate the least common multiple of 24 and f*(112/12)/2.
168
Calculate the lowest common multiple of (8424/(-32) + 0)/((-6)/16) and 8.
2808
Calculate the common denominator of -121/156 and 4 - (-106)/18*87/290.
780
Let r = -13 - -53. Let o = 1/19 + -410/209. What is the common denominator of o and (64/r)/((-36)/130)?
99
Let f(z) = 2*z**2 + 15*z + 22. What is the smallest common multiple of 63 and f(-10)?
504
Let s be (-1981)/(-28) - 6/8. Suppose g + 4*g = s. Calculate the least common multiple of g and 2.
14
Calculate the common denominator of 1 - ((-10270)/160)/(-13) and -2 + -2 + (-321)/(-42).
112
Let w = -11983/20 + 602. Calculate the common denominator of -49/6 and w.
60
Let z = -652/17 + 8998/255. What is the common denominator of z and 49/153?
765
Let s = 2/10103 + -192037/404120. Calculate the common denominator of 77/4 and s.
40
Suppose 4*f = 2*d + 3 + 1, -3*f + 3 = 5*d. Calculate the lowest common multiple of (-1)/2*(-6 - 40) and f.
23
Suppose -5*c - 820 = -5*t, 9*t - 3*c = 7*t + 327. What is the least common multiple of 105 and t?
1155
Let n(u) = -85*u**2 - 5*u + 2. Let s be n(-5). Let l be -2 + -3 + (-138357)/66. Let t = l - s. What is the common denominator of 75/22 and t?
22
Let i = 157 + -108. Let g = i + -21. Calculate the smallest common multiple of 18 and g.
252
Let b = -8151/940 + 330/47. What is the common denominator of b and 24/125?
500
Let a(c) = c**2 + 7*c. Let i be -8 + 8 + (1 - 7). Let d be a(i). Calculate the common denominator of ((-27)/d)/((-8)/(-12)) and -75/14.
28
Let l(p) = p - 11. Let o be 26*(6/(-4) - -2). Suppose -3*d - 2*d = v + 3, -d + 3 = 2*v. What is the lowest common multiple of l(o) and v?
2
Calculate the common denominator of 1/(-6)*(4 - -10 - 159) and 11*(-3)/(-54 - 0).
18
Suppose -4*y = y - 50. Let r be (-205)/(-7) - (-2)/(-7). Suppose -3*z + 25 = -r. Calculate the lowest common multiple of y and z.
90
Let a = -20 + 31. Suppose 0 = 4*z - 37 - a. What is the smallest common multiple of (0 - 0) + (-26)/(-13) and z?
12
Let z = 295 - 211. What is the smallest common multiple of 24 and z?
168
Let c = 52 - 67. Calculate the common denominator of 8/160*270/(-4) and (c/18)/(-1)*(-40)/10.
24
Let l(z) = 3*z**2 + 20*z + 2. Calculate the least common multiple of l(-7) and 41.
369
Let g = -583971/592900 + -30/5929. Calculate the common denominator of g and -143/12.
300
Suppose -2*i + 4*i = 28. Let x(d) = 0*d**2 - 7*d + 3 - 1 - d**2 + 4. What is the smallest common multiple of i and x(-7)?
42
Suppose -a = -3*t - 66, 5*a - 4*t - 358 = -3*t. Calculate the smallest 