t y be ((-4)/(-88))/(0 + 5 + -1). Let n = y + -311/264. Calculate the common denominator of -1/20 and n.
60
Let s = -6 + 6. Suppose y - 8 = -s*y. Calculate the lowest common multiple of y and 23.
184
Let n be 44/10 + 8/(-20). Suppose -5*x = 3*w - 5*w + 19, w + n = -2*x. What is the lowest common multiple of 6 and w?
6
Let k = 34979/12 + -2913. Calculate the common denominator of k and (-6)/2 - (-88)/168.
84
Suppose -2*j + 3 = -5*x, j = -j - 2. What is the common denominator of (x/(-6))/((-20)/654) and (242/(-20))/((-9)/(-9))?
20
Let g = 55 + -164/3. Find the common denominator of g and -67/8.
24
Let k = -19 + 89. What is the least common multiple of 5 and k?
70
Let r be ((-3)/(-9))/(3/(-18)*1). Calculate the common denominator of -91/22 and (r/(56/99))/(1/2).
154
Let j = 28 - 19. Suppose 10*q - 14 = j*q. Let c = q - 10. What is the smallest common multiple of 20 and c?
20
Find the common denominator of (-3)/(-2) + 5776/(-5244) and 113/6.
138
Find the common denominator of (12/(-1980)*-6)/((-2)/(-130)) and 44/417.
4587
Let z(l) = -l**3 - l**2 + l - 9. Let q be z(0). Calculate the common denominator of 26/6*q/(-5) and 36/13.
65
Calculate the least common multiple of 6/21*(-42497)/(-26) and 1.
467
Suppose 4*z + 5 = a + 2*z, 10 = 2*a + 5*z. Calculate the least common multiple of a/(0 + 3/6) and 2.
10
Suppose -v = 2*z - 2, 3 + 1 = v. Calculate the least common multiple of (-17)/(-2) + z/2 and 7.
56
Let t(z) = -z**2 + 6*z + 13. Let c be t(8). Let n be (-3 - c) + 4/4. Calculate the least common multiple of (0 + n)/(9/36) and 7.
28
What is the lowest common multiple of ((-104)/32)/((-5)/80) and 12?
156
Let j(g) = -3*g**3 - 2*g**2. Let h(u) = -4*u + 2. What is the lowest common multiple of h(-4) and j(-2)?
144
Let p be -1 + 2/(-5270) + 1. Let z be ((-956)/(-102))/(2244/387 - 7). Let f = z - p. What is the common denominator of f and -6/7?
35
Suppose 0 = l + 2*l, -4*l = -5*v - 20. Calculate the least common multiple of 21/42 - 78/v and 20.
20
Let o = -54 - -85. Suppose -177*f - 25*f - 77*f = -1116. Calculate the smallest common multiple of f and o.
124
Let z(a) be the first derivative of a**4/4 - 11*a**3/3 - a**2 + 23*a + 18. What is the lowest common multiple of 31 and z(11)?
31
Suppose 0 = 3*x - 2*y + 62, -3*x + 3*y - 35 = 31. Let o be x/746*(-6)/9. Let v = o - 8651/4476. Calculate the common denominator of 59/10 and v.
60
Let x be 6/1 + (-4 - -3). Let b = x - 3. Let p = 3300 - 3277. Calculate the smallest common multiple of b and p.
46
Suppose 12*a - 16*a = 17072. Let s = -89707/21 - a. What is the common denominator of -43/2 and s?
42
Calculate the least common multiple of 14 and (-138)/(-11) + 48/(-88).
84
Let c = 358113/22 - 16274. What is the common denominator of c and 69/22?
22
Suppose 19*z = 16*z + 39. Suppose -28 = -l - 2*h, 4*h + z + 11 = 2*l. What is the lowest common multiple of l and 2?
20
Calculate the least common multiple of 5495/63 - 4/18 and 30.
870
Suppose -2*x - n = -144, -5*n = -0*x - 3*x + 216. What is the smallest common multiple of 135 and x?
1080
Let y = -1723217/5 + 346240. Let k = 311072/195 - y. What is the common denominator of -49/24 and k?
312
Let m(a) = 22*a**2 - a + 1. Suppose -7*g - 242 + 382 = 0. Calculate the lowest common multiple of g and m(1).
220
Let q = -2151 + 2173. What is the least common multiple of 4/(-6)*(-3 + -24) and q?
198
What is the common denominator of ((-5)/(-20))/((-110)/649) and 119/30?
120
Calculate the common denominator of 10/(-70) - (-9)/(-10416)*-58 and 79/8.
248
Let t = -378 - -426. What is the smallest common multiple of 40 and t?
240
Let j = -2811 - -22569/8. Calculate the common denominator of j and 119/6.
24
Calculate the lowest common multiple of 25 and (-1056)/(-10) - (-90)/(-150).
525
Let n(d) = -3*d + 5. Let x be n(-5). Suppose -3*k = -8*k + x. Suppose 5*z - 65 = 5*s, 0 = -3*z + 4*s - 0*s + 40. What is the least common multiple of k and z?
12
Suppose 34 = -v - 5*j + 9, -3*j = v + 19. Let o = 32 + v. What is the smallest common multiple of o and 4/(-6) + 114/9?
132
Let y = 333 - 311. What is the lowest common multiple of y and 58?
638
Find the common denominator of -4 - (-35)/15*(-2724)/(-1544) and 77/2.
386
Suppose -l - 1 = 4. Let f be (-23)/l + 3/(-5). Suppose f*u = 6*u - 32. Calculate the lowest common multiple of 5 and u.
80
Let c = 25/4 - 177/20. Let n = 2908955/2362 - 76/1181. Let u = 3620/3 - n. What is the common denominator of u and c?
30
What is the least common multiple of (1/5)/((-30)/(-2850)) and 38?
38
Let t(k) = -k**3 - 9*k**2 - 3*k - 15. Suppose -w + 15 = -5*p, -4*w - 7*p + 3*p - 12 = 0. Let b = 8 - w. What is the lowest common multiple of b and t(-9)?
24
Let a = -7/172 + 6469/2580. Let c = 1106 + -36518/33. What is the common denominator of c and a?
165
Find the common denominator of (-1730)/616 + (23 - 27) + 7 and 7/440.
3080
Suppose 0 = -2*i + 3*i - 138. What is the common denominator of (i/88)/((-1)/2) and 52/(-78)*123/40?
220
Suppose 5*h - 478 = -2*c - 90, -4*c - 60 = -h. What is the least common multiple of h and 20?
380
Let d(h) = h**3 + 7*h**2 + 5*h - 5. Suppose 26 = 5*f - 4. Suppose -3 = -2*p + 5*y - 0, -f = -p + 4*y. Calculate the smallest common multiple of 2 and d(p).
2
Calculate the common denominator of 6/36 - 885/18 and -24/7.
7
Let k = 138 - 43. Let s = -67 + k. Calculate the common denominator of 11/7 and (-2)/(-5) + s/(-8).
70
Let l(g) be the third derivative of -g**5/60 - g**4/3 - 7*g**3/6 - 122*g**2. Suppose -5*s - 28 = -3. What is the least common multiple of l(s) and 12?
24
Let z = 609/5 - 1013/10. What is the common denominator of (-1)/(-1) + (-83)/(-10) and z?
10
Let i = -290546/7 - -749608309/18060. Calculate the common denominator of -67/22 and i.
28380
Let y = 26935 + -646565/24. Calculate the common denominator of y and -71/30.
120
Let o = -27584 - -11199067/406. What is the common denominator of -45/8 and o?
1624
Suppose 0 = -7*f + 51 + 19. What is the least common multiple of f and 5?
10
Let s = 9155/2384 + -60/149. What is the common denominator of -41/2 and s?
16
Let j = 19947/13 - 10737/7. Calculate the common denominator of j and 1/175.
2275
Suppose 3*z - 5*b = -1789, 3*z + 151 = 3*b - 1646. Let a be (-8)/(-4) - z/(-6). Let r = a + 49. Calculate the common denominator of 67/2 and r.
2
Suppose -415 + 100 = -7*v. Calculate the smallest common multiple of 18 and v.
90
Let c be (((-9)/6)/(9/12))/(-2). Let o(q) = 8*q + 4*q - 2 + 0. Calculate the least common multiple of 8 and o(c).
40
Calculate the common denominator of ((-6)/(-15))/((-16)/10)*54 and 73/56.
56
Suppose -54*k + 57*k = 21. What is the least common multiple of 126 and k?
126
Let q = 1441071/73 - 19740. Calculate the common denominator of 41/6 and q.
438
Find the common denominator of 27 + -16 + -16 + (-11)/2 and -19/37.
74
Suppose -3*i - 9 = -75. Suppose -2*w + 98 = 4*m, 5*w = -3*m + 50 + 27. What is the least common multiple of m and i?
264
Let w(v) = v. Let b(z) = 2*z + 1. Let m be b(2). Let p = m - -1. Calculate the smallest common multiple of 6 and w(p).
6
Let w(t) = -234*t + 710. Suppose -3*i + 62 = -h, h + 22 + 84 = 5*i. Calculate the least common multiple of w(3) and i.
88
Let o = 19831/3480 + 17/1740. Find the common denominator of -29/104 and o.
312
Let s(x) = -23*x**3 - x. Let v be s(-1). Calculate the common denominator of (-6)/(-14) - (-5)/(-28)*-230 and 278/v - 1/4.
6
Find the common denominator of (-111)/74 + (1/6 - 3427/276) and 37/(-2)*4/10.
20
Find the common denominator of 125/24 and (-1 - (-206)/180)/(14/(-385)).
72
Let g(w) = w**3 - 6*w**2 - w - 2. Let j be g(7). Suppose 24 = -2*f + j. What is the least common multiple of 18 and f?
72
What is the common denominator of -119/36 and ((-2144)/(-224))/(24/(-7))?
72
Let d = -19 - -30. Suppose -863 = -q - 857. What is the lowest common multiple of q and d?
66
Calculate the common denominator of -1 - 1/(182/(-88)) and -1*7*(-4680)/2457.
273
Let n = -2/817 - 1604/12255. Find the common denominator of n and 121/168.
840
Suppose -15*t + 27*t - 240 = 0. What is the least common multiple of t and 202?
2020
Calculate the common denominator of 89/36 and (-2165)/(-3150) - (-2)/(-14).
180
What is the lowest common multiple of 100 and 9/(-90)*5 + (-122)/(-4)?
300
Let j(v) = -v - 9. Let t be j(-6). Calculate the common 