ple of p and o.
78
Let d(v) = v**3 - 13*v**2 + 12*v - 6. Let t be d(12). What is the common denominator of (-2)/4 - (-497)/(-28) and 762/168 - t/8?
28
Let g = -23 - -50. Suppose -4*f + f = g. What is the common denominator of 14 and (5 - 1)*f/(-30)?
5
Let h = 46639/36120 - -2/4515. What is the common denominator of (1205/72)/5 - (3556/224 - 16) and h?
72
Calculate the common denominator of 71/140 and 58/8*11/1540*-5.
560
Let w = -62 - -59. Let b(a) = -a**3 - 2*a**2 - a + 6. What is the least common multiple of 18 and b(w)?
18
Let h = 40110 - 11471445/286. What is the common denominator of -67/39 and h?
858
Suppose 5*b = 2*r - 30, 6*b = b - 4*r. Calculate the common denominator of -13/12 and 67/(-4)*b/(-10).
60
Let y = 247/11 - 175/22. Suppose 5*k = -5*r + 75, -3*k - r = -55 + 12. Calculate the common denominator of y and (-734)/28 - 4/k.
2
What is the common denominator of 57/14 and -10*(-106)/(-336) + 19/57?
28
Let p = 141639/40 - 3539. Find the common denominator of -77/8 and p.
40
Let a = -75 + 87. Suppose -7*y + 18 + 192 = 0. Calculate the smallest common multiple of a and y.
60
Let n = -20665/6 + 3457. What is the common denominator of -25/4 and n?
12
Suppose 7 = -3*f + 10. Calculate the common denominator of -41/2 and f - 123*2/24.
4
Let d(y) = 15*y - 27. Let s be d(4). Suppose -4*n = -s - 87. Calculate the lowest common multiple of n and 27.
270
Suppose 0 = 4*q - 3*q + 588. Let m be (-3)/q*14596/(-10). Let a = -17/49 - m. Calculate the common denominator of 101/2 and a.
10
Let c = 221/56 + 55/14. Let o = 30 - 60. What is the common denominator of c and 125/40*(-44)/o?
24
Let h = -43881/51520 + 19/805. Find the common denominator of -48 and h.
64
Let m(j) = 4*j + 71. Let f be m(21). Calculate the common denominator of 88/63 and 11 - 15 - (-2)/(12/f).
126
Let a = 5621/12 + -2771/6. Let l be (-15)/(-65)*-213 - 6/(-39). Find the common denominator of a and (14/l + (-729)/21)/(-4).
12
Suppose -4*x + 420 + 340 = 0. Let z = 11365 - 11343. What is the least common multiple of x and z?
2090
What is the least common multiple of ((0 - 6) + (-520)/(-78))/((-1)/(-6)) and (1 - 2 - -23)*4?
88
Suppose 2*j - 133 + 13 = 0. Suppose 3*s = -m + 24, 4*m = -s - 2*s + j. Calculate the least common multiple of m and 38.
228
Suppose 2*s = 4*l - 170, -4*s - 66 + 6 = -l. What is the least common multiple of l and 32?
160
Suppose 3068 = -2*c + 6*c. Suppose -3*x - 4*s - 333 + 51 = 0, 4*x + 372 = -4*s. Calculate the common denominator of -23/8 and (-10)/(-45) + c/x.
40
Let m = 11207/134070 - 184/615. Calculate the common denominator of m and 81/8.
872
What is the common denominator of -29 + 19 - 550/(-48) and -115/684?
1368
Let j = 20983/6 - 3513. Let a = -175/3 - j. Let k = -21169/4190 - 20/419. Calculate the common denominator of k and a.
10
Let m = -1103698/1119 - -2959/3. Let q = m - -12279/3730. What is the common denominator of -13/3 and q?
30
Let r be ((-2)/9)/(3/(-27)). Let a(l) = -l + 4. Calculate the least common multiple of a(r) and 11.
22
Find the common denominator of ((-2952)/(-3456))/((-15)/6) and 41/165.
1320
Let m be (152 + -4)*4/8. Suppose -2*w = -4*f + m, 3*w + 64 = 4*f - 15. Let v(r) = 11*r - 2. Calculate the least common multiple of f and v(2).
80
Let m(v) = -v + 1. Let x = 4723 - 4717. What is the lowest common multiple of m(-6) and x?
42
Let l = 41073949/50228 + -1/25114. Let z = l + -832. Find the common denominator of z and (-1)/(-6)*(-414)/(-24).
8
Let f = -74885077/342 - -218962. Find the common denominator of f and 107/12.
684
Let p = -383449/129980 + 2/32495. Calculate the common denominator of p and 97/36.
180
Suppose -3 = -4*k + 4*u - 7, 5*k = -u + 7. Let o be k/(63324/(-15832) + 4). Let d = o + -39543/10. Calculate the common denominator of d and 67/9.
90
Suppose -48 = -5*x + 2. Let z(l) = l**3 + 17*l**2 - l + 8. Let q be z(-17). Let a = q - 14. Calculate the smallest common multiple of a and x.
110
Let h = 1385 + -1375. Suppose g = 15 + 2. What is the least common multiple of g and h?
170
Let w = -120 - -132. Suppose 32 = 2*u - 34. Calculate the least common multiple of w and u.
132
Suppose 3*m + 11 = -0*a - 2*a, -2*m + 10 = 0. Let g = a + 14. Calculate the least common multiple of g and 3.
3
Suppose 4*u + 5 = 3*u. Let v(h) = -h - 3. Let l = -138 + 140. What is the smallest common multiple of v(u) and l?
2
Let r be -14974*(-1)/(-36)*-2. Let q(o) = o**3 - 16*o**2 + 12*o - 34. Let k be q(18). Let a = k - r. Calculate the common denominator of a and 1/5.
45
Suppose -2*r - 6*r + 80 = 0. Let j(f) = f**2 - 10*f + 2. Calculate the smallest common multiple of 7 and j(r).
14
Find the common denominator of -7 - (8 + 8696/(-480)) and 187/60.
60
Suppose 7*j - 9*j - 35 = -u, 0 = -2*j. What is the least common multiple of 210 and u?
210
Suppose -3*i - 4*k - 54 = 0, -k = 3*i - 6*k + 54. Let b = -16 - i. Calculate the smallest common multiple of 14 and ((-4)/(-5))/(b/20).
56
Let h(o) = -o**3 + 10*o**2 + o - 8. Let r be h(10). Suppose -7*n + 100 = -r*n. Calculate the least common multiple of n and 12.
60
Let v = -52 + 72. Find the common denominator of (2 + v/(-8))/(9/(-137)) and 89/2.
18
Find the common denominator of (-1)/7 - (-64859)/(-22120) and 73/15.
120
What is the least common multiple of (70/22 - 6/33)/1 and 129?
129
Let h(a) = -a**3 - 4*a**2 - 7*a + 5. Let v be h(-7). Calculate the common denominator of (v/(-8))/((-270)/72) and -12.
10
What is the common denominator of -93/2 and -3 + 0 + 45/144?
16
Let p(d) = 11*d**2 + 9*d - 10. Calculate the least common multiple of 4 and p(1).
20
Let x = 4153/4 + -1030. Let f = 3/2770 + 3717/404420. Calculate the common denominator of x and f.
292
Let c = -32785/6 + 5478. Let u = -1428 + 19927/14. Find the common denominator of u and c.
42
Let y = -1617454/121 + 13367. Calculate the common denominator of y and -17/121.
121
Let x = -40235/15664 + 6/979. Let p = 539/80 - x. What is the common denominator of p and 76/(-16) + (-1 - 0)?
20
Let b(p) = p**2 + p - 1. Let n(v) = -2*v**2 - 7*v + 9. Let t(k) = 3*b(k) + n(k). What is the least common multiple of (0 - -6) + (-2)/2 and t(5)?
55
Let u(q) = -2*q**3 - q**2 + 2*q - 4. Let c be u(-2). What is the lowest common multiple of 30 and 12 - ((-8)/(-6))/(c/9)?
90
Suppose -102 = -a - 3*a - 2*s, -73 = -3*a + 2*s. What is the least common multiple of a and 90?
450
Let y = 4 - 2. Suppose -g + 5*o - 4 = 0, 12 = -9*g + 6*g - o. Let h = y - g. Calculate the smallest common multiple of h and 6.
6
Let r = -374181/50 + 7484. Find the common denominator of 31/60 and r.
300
Let t = 2320 - 23089/10. Let x = 51115/6 + -8539. Find the common denominator of t and x.
30
Let p(o) = -7*o**3 + 4*o**2 - 10*o + 3. Let j be p(7). What is the common denominator of (-2)/(-15) + j/(-360) and 40/9?
9
Let r be (-1547)/14 + (-2)/(-4). Let b = r + 508/5. What is the common denominator of b and 1*(0 - 170/16)?
40
Let b = 90311/8 - 11282. Calculate the common denominator of b and -53*(-1)/(-2) - 1.
8
What is the common denominator of -2 + (0 - (-182)/(-24)) and 218/(-252) - (-2)/9?
84
Let k(x) = -x**3 - 19*x**2 - 32*x + 82. Calculate the lowest common multiple of 24 and k(-17).
48
What is the common denominator of -1/20 and (4 + 584/(-54))/(-10)*-3?
180
Suppose 30 = -2*b + b. Let p be (16/20)/(2/b). What is the common denominator of (-99)/6*(-9)/p and 103/10?
40
Let l = 17 - -16. Calculate the smallest common multiple of 18 and l.
198
Let p = -191 + 233. Calculate the smallest common multiple of p and 21.
42
Let o(a) = -216*a + 1312. Calculate the lowest common multiple of 32 and o(6).
32
Let c = -198 + 218. What is the lowest common multiple of 102 and c?
1020
Suppose 3*h + 146 = 5*g, 3*h + 2*h - 3*g + 222 = 0. Let k = -9 + 16. What is the least common multiple of k and (-36)/21*h/12?
42
Let v(b) = -67*b - 25. What is the least common multiple of 92 and v(-1)?
1932
Let t = 4/55 + 141/88. Let g be (2 + 10/6)/3. Let u = -353/90 + g. What is the common denominator of t and u?
40
Let y = -10230750 + 34989174731/3420. Let a = 4/855 + y. Find the common denominator of -13/45 and a.
180
Suppose 5*v + 30 + 30 = 0. Let l = v - -11. What is the least common multiple of -4*l/(-2) + 16 and 2?
14
Suppose f - 5*i = -196, -183 = f - 3*i + 21. Find the common denominator of 93/2 and f/400*65/(-6).
20
Let o 