l(w) and 6.
12
Let f = 109 + -106. Suppose -f*m = -2*m - 120. Calculate the common denominator of 23/38 and (-4)/(-6) + (-452)/m.
190
Suppose 0 = -2*y + 37 + 51. Suppose 63*p - 8961 = 2127. Calculate the smallest common multiple of p and y.
176
Let q = 9757/84 + -886/7. Let p be 1053/(-26) + 9/6 + -1. Calculate the common denominator of 3 - 114/p - (11 + -4) and q.
60
Let d(j) = -3 + 3 + 5 - 3*j - 4. Let i = -9792 + 9798. Calculate the smallest common multiple of i and d(-1).
12
Suppose -109 = -8*w + 7*w - m, 2*m = -4*w + 428. What is the common denominator of 2/5 + 88/w and 125/36?
252
Let z be (-4)/(-10) - (-72)/20. Let n = 386 + -326. Suppose 50 = 2*x - h - h, -2*x + z*h = -n. What is the smallest common multiple of x and 20?
20
Let q = -2062 + 2030. Let w be (1 - 0)*(2 + 38). What is the common denominator of (6/123)/(q/w) and 101/6?
246
Let b = -16933 + 35901. What is the common denominator of 4/(-34) + (5 - b/4080) and 113/70?
210
Let f be (3 + -18)/5 + 3. Let a = 10 - f. What is the lowest common multiple of 28 and a?
140
Let f be (-1 + 2)/(48/15 + -3). Let z be 75/1 - f/(-1). Suppose z = 4*y - 2*y. Calculate the smallest common multiple of 3 and y.
120
Let y = 11441/8244 + 1/916. Let g = -15310/841 - 6614199/58870. Let u = g - -874/7. Find the common denominator of u and y.
90
Let q be 111/21 - (-2)/(-7). What is the common denominator of (q/(-125))/(2/(-5)) and (-1568)/11760 - (-308)/(-15)?
30
Suppose -t = r + 114 - 140, -3*t + 18 = 0. Calculate the common denominator of 85/474 and r.
474
Find the common denominator of ((4/27)/4)/((-46)/(-9798)) and 94/(-215) + 12/(-30).
387
Let q be (3 - 85/(-40)) + -2 - 2. Let u = q - -79/24. Find the common denominator of u and 91/8.
24
Find the common denominator of -6 + 9 + (-44652)/15336 and 22/27.
3834
Let k = -50138/5 + 72799981/7260. What is the common denominator of k and -27/56?
20328
Find the common denominator of 79/60 and (79122/(-6588) + 84/7)*(-21)/2.
3660
Let c be 9202/18 - (-9 + (-830)/(-90)). Suppose -17*f + c = -50. Calculate the lowest common multiple of f and 33.
33
Suppose 3*c - 11 = -4*g, -4*c + 2*g + 27 = c. Let r = 11 - c. What is the lowest common multiple of r and 42?
42
Let c = -717598/5 - -232501571/1620. Find the common denominator of c and -61/90.
1620
Suppose -3*z - z + 16 = 0. Suppose 3*o + 2*q - 58 = 0, z*q + q = -3*o + 64. Let g = 45 - 33. Calculate the lowest common multiple of g and o.
36
Let v = -52507 - -35494751/676. What is the common denominator of 11/2 and v?
676
Suppose 71920 = -21*h + 7891. Let u = h + 128141/42. Find the common denominator of -53/5 and u.
210
Suppose 0 = -23*q + 22*q, 5*q = 3*z + z - 12. Calculate the smallest common multiple of z and 163.
489
Let q be ((-15)/4)/((-1)/4). Let w = q - 10. Let t(y) = 2*y**2 - 147*y + 631. Calculate the lowest common multiple of w and t(69).
10
Suppose 47*m - 3608 = 36*m. Let g = m + -306. What is the lowest common multiple of g and 38?
418
Suppose -4*g + 2*y = -4410, -11*g = -14*g - y + 3315. Calculate the lowest common multiple of g and 138.
1104
Suppose 5*p = -14*p - 1330. Let z = 43807/16 + -2740. Find the common denominator of z and ((-345)/p)/1 + -1.
112
What is the smallest common multiple of 8 and 2767 + -174 + (4/(-6) - 65/15)?
5176
Let m be 1/4 + 73074/56. Let u = m + -183273/140. What is the common denominator of 12 - 15 - (-1065)/240 - 6 and u?
80
Let k = 2318590825/173767219 + 34/1698051. Let b = -3/307 + k. Calculate the common denominator of (-27)/21*((-308)/(-16) + 0) and b.
12
Let s be -2*(111230/45 + 3). Let g = 4943 + s. Let u = -1800 + 32383/18. Calculate the common denominator of g and u.
18
Let y = 213549/8 - 21141617/792. Find the common denominator of 45/16 and y.
1584
Let v(o) = o**3 + 81*o**2 - 487*o + 6. What is the smallest common multiple of v(6) and 23?
4968
Let o be (1 + 274937383765 + 0)*5/(-40100). Let z = o - -34281470. Let q = 1/401 - z. Calculate the common denominator of q and -117/56.
280
Let a be (((-1296)/21)/2)/(26/(-273)). What is the least common multiple of 60*-9*(-6)/a and 8?
40
Let t(f) = 8*f**2 - 6*f + 24. Calculate the lowest common multiple of 1212 and t(2).
13332
Suppose 0*u = -10*u + 1400. Calculate the smallest common multiple of u and 45.
1260
Let w = 12136 - 11916. Calculate the smallest common multiple of 32 and w.
1760
What is the common denominator of (-219)/(-30) - (-6)/(-3) and (-1647)/45600 + 17/(-323)?
800
Suppose 256*c - 4*t = 260*c - 6524, 9*c - 2*t = 14646. Calculate the least common multiple of 1184 and c.
13024
Let m(r) = -r**3 + 3*r**2 - r + 18. Let c be m(4). What is the common denominator of 39/275 and ((-100)/8 + -3 - c) + 2?
550
Suppose -5*w = k - 2*k - 393, 162 = 2*w - 2*k. Let o = 13 - 31. Find the common denominator of ((-18)/80)/(o/w) and 19/16.
80
Suppose -6*f + 339 = 333. Suppose -l - f = h, 11*l - h + 3 = 13*l. Let w = -20/19 - 1037/152. Find the common denominator of l and w.
8
Let n = 4369 + -113573/26. Let p = 1243/15 - 426/5. What is the common denominator of n and p?
78
Let m(y) = y**2 - 6*y - 7. Let o be (-1)/(-2)*18 - 3. Let t be m(o). Let z(j) = j**2 + 8*j + 12. What is the lowest common multiple of z(t) and 6?
30
Suppose 723 - 19 = 85*b - 656. What is the lowest common multiple of 80 and b?
80
Suppose -3*z = -4*i - 50, -3*z - 5 = -z + 5*i. Suppose 0 = 3*d - 3, 6*d - z*d = -2*j + 374. Find the common denominator of 70/27 and 77/j + -1 + 0.
27
Calculate the lowest common multiple of 35 and (69/9)/(220/3300).
805
Let r = -5/43 + 22/559. Let i = -190/273 - r. Calculate the common denominator of i and 7/3.
21
Suppose 0*n + 5*q = -n + 22, 3*q = -n + 24. Let h(v) be the first derivative of 3*v**2/2 + 6*v - 14. What is the smallest common multiple of h(3) and n?
135
Let m(q) = -q**3 + 14*q**2 - 21*q - 23. Calculate the smallest common multiple of 46/5*((-665)/38)/(-7) and m(12).
299
Let x(i) be the third derivative of i**5/60 - 13*i**4/12 - 25*i**3/2 - 18*i**2. What is the least common multiple of 878 and x(29)?
5268
Let p be 24/(-32) - (1 + 159/12). Let u = p - -168. What is the lowest common multiple of u and 24?
1224
Let d = 40/4047 + -153281/631332. Find the common denominator of d and 44/3159.
12636
Let f = -2341 + 28033/12. Let i = 25243 - 1363211/54. Find the common denominator of i and f.
108
Let g be 224/105 + (-2)/15. Suppose -n - 5451 = g*n + 2*u, 3*u = -4*n - 7269. Let b = -21665/12 - n. Calculate the common denominator of -79/12 and b.
12
Let o be (1212/(-1010))/(16/(-10) - -1). What is the least common multiple of 87 and 20054/370 + o + (-22)/10?
1566
Suppose 4*a + g + 3 = -44, 2*g = a + 14. Suppose 5*w - 28 = 102. Let c = w + a. What is the smallest common multiple of c and 16?
112
Let i(d) = d**3 - 54*d**2 - 291*d + 60. What is the lowest common multiple of i(59) and 407?
3256
Let l(x) = -x**3 - 10*x**2 - 16*x + 3. Let n be l(-8). Suppose g = -3*r + n, 5*r + 6 = g - 5. Calculate the least common multiple of 8 and g.
24
Let u = -45114/11 - -3520091/858. Let z be (67/2)/(4/232). Let a = z + -31123/16. What is the common denominator of a and u?
624
Let s be (-3709)/3 + (3 - 2). Let j = s + 1220. Calculate the common denominator of 25/14*49/(-42) and j.
12
Suppose 5*x + 3*g + 5 = -2*g, g - 8 = 2*x. Let m = -258169/20 + 12911. What is the common denominator of m and (x/(108/87))/(9/30)?
180
Let j = 187 + -297. Let w = 158 + j. What is the least common multiple of w and 10?
240
Let l = -2172 + -1790. Let k = -23839/6 - l. Let t = 183067/35430 - 2/5905. Find the common denominator of t and k.
6
Let p(v) = 4*v**2 + 50*v + 22. Let y be p(-16). Let u = y - 1941/8. Calculate the common denominator of u and 111/28.
56
Suppose -5*f + 0*o - 3*o + 822 = 0, 0 = -5*o - 5. Suppose 7*w - 473 = -f. Calculate the smallest common multiple of w and 56.
616
Suppose -20 = -9*d - 107 + 303. Suppose 0 = 4*h - 67 - 293. Suppose k = -2*k + h. What is the least common multiple of k and d?
120
Suppose 399*j = 400*j - 2. Let z(g) = -63*g + 130. What is the smallest common multiple of 32 and z(j)?
32
Suppose 2*b - 19 = -7. Let g(p) = -p**2 + 5*p + 4. Let v be g(b). Calculate the lowest common multiple of 4 and 4 + 4/v + 4.
12
Suppose 0*l + 3*l - 3*w = 1569, -4*l - w = -2112. Suppose l + 43 = y - 4*t, -3*y + 2*t = -1660. What is the smallest c