t u = 11117/37521 + -935941087/90350568. Let h = u + 392/43. Let q = 111/14 - 24/7. Find the common denominator of h and q.
56
Let f(y) = y**3 - 4*y**2 - 14*y + 16. Let k be f(6). Find the common denominator of -47/2 and k + -11*7/(-60) - 4.
60
Let z = 88086 + -29596933/336. Calculate the common denominator of 97/96 and z.
672
Let z(a) = 929*a - 6495. What is the lowest common multiple of z(7) and 19627?
157016
Let a(j) = 2*j**2 - 53. Let k be a(-5). Calculate the lowest common multiple of 36 and (2 + -2 - (0 - -1))*k.
36
Let m(t) = -4*t - 3. Let w(u) = u - 1. Let x(y) = m(y) + 5*w(y). Calculate the least common multiple of x(9) and 20.
20
Let d = 616 - 8012/13. What is the common denominator of d and (2/(-5) + 1520/(-200) - (-230)/(-12)) + 4?
78
Let u(i) = -i**2 + 34*i - 152. Let d be u(29). Let r(t) = -18*t - 81. What is the lowest common multiple of 30 and r(d)?
90
Let c = 223 - 37. Suppose 6*a + 4*t - 56 = 5*a, 4*a - 3*t = c. What is the lowest common multiple of a and 54?
432
Let n = -1116 + 25672/23. Let i = -2/7 - 13/28. What is the common denominator of n and i?
92
Let m(t) = 9*t - 24. Let d(h) = -h**3 + 10*h**2 - 18*h - 10. Let l be d(7). Let i = l - 5. What is the smallest common multiple of m(i) and 16?
240
Suppose -5*n = 5*m - 3*n + 3788, 2*m = -n - 1516. Let v = -744 - m. Calculate the smallest common multiple of 4 and v.
12
Let l(o) = 3*o**2 + 125*o + 943. What is the smallest common multiple of l(-41) and 861?
861
Let k = 252/611 - 64043/207129. Let d = -25351/18984 + k. Let p = -525/43 + 12743/688. What is the common denominator of p and d?
112
Calculate the least common multiple of 138 and ((-2022)/10 - -3)*(-485)/194.
11454
Let u be (0 + 8708/8)/((-8)/2). Let v = u - -274. Find the common denominator of 101/2 and v.
8
Suppose -8*y - 776 = -40. Suppose -2*h + 240 = -0*h. Let b = h + y. Calculate the least common multiple of 48 and b.
336
Suppose 81 = -3*n - 249. Let v = n - -112. Suppose -4*c = -10 + v. Calculate the smallest common multiple of 8 and c.
8
Calculate the common denominator of 47/5 and 85280/316274 - (36/(-56))/(-3).
5510
Let m = 10488/11 - 1761511/1848. Calculate the common denominator of m and -107/60.
840
Suppose 171*q - 23059 - 60941 = 3*q. Calculate the smallest common multiple of 40 and q.
1000
Let a = -6 + -1. Let b be a/((-5215)/10)*19. Let v = b + 14821/894. What is the common denominator of 79/20 and v?
60
Suppose 4*v - 12 = 0, 0 = -x - 5*v - 1789 + 228. Let s = -69365/44 - x. Let m = 4847 + -58237/12. Calculate the common denominator of s and m.
132
Let g(k) = 13*k + 236. Suppose 63 = -6*w - 45. Calculate the least common multiple of g(w) and 8.
8
Let d(g) = -g**2 + 86*g - 1816. Let t be d(48). Suppose 4*v + 10 = 30. Calculate the smallest common multiple of (t/3)/(v/(990/12)) and 40.
440
Let z be 6/(-9) - (-44)/12. Suppose -5*j + 11890 = 5*q, -z*j + 5*q - q = -7113. Calculate the common denominator of (-4)/(-14) + j/140 and 71/6.
12
Let p(o) = -45 + 94*o - 47 - 102*o + 26 - 20. What is the smallest common multiple of 5 and p(-17)?
50
Let h(q) = -q**3 + 3*q**2 + 4*q + 5. Let m be h(5). Suppose -3*t = 4*l - 5*t + 14, 2*l + 10 = 4*t. Calculate the least common multiple of -3 + m/l + 6/9 and 15.
30
Let n(t) = -t**2 + 111*t + 554. Calculate the smallest common multiple of n(115) and 235.
470
Let v = -64 - -67. Suppose 0 = q - v*o + 15399, -2*o - 3 - 5 = 0. Let j = -1063307/69 - q. What is the common denominator of 68/3 and j?
69
Find the common denominator of 2321/(-9207) - 1*4/(-12) and 131/1674.
1674
Calculate the least common multiple of (-87)/(-12) + (-6)/32*-4 and (3 - 11)*(4 + -15).
88
Let c(u) = 7*u + 537. Calculate the smallest common multiple of c(-73) and 180.
2340
Let k be (-2)/(-5) + (-90)/225. Suppose -11*c + 107 + 69 = k. What is the smallest common multiple of 10/((8/(-30))/(-4)) and c?
1200
Let t = -78 + 94. Suppose -16 = -4*f + t. Let a = -12 + 23. Calculate the least common multiple of f and a.
88
What is the common denominator of -71/57 and 11 - 17 - -10 - (-4388)/(-1064)?
798
Let o be -2 - ((-268)/888*210437 - -3). Let d = -63505 + o. What is the common denominator of -53/33 and d?
2442
Suppose -2*p + 0*p + 18 = 0. Let z(u) = -u**2 + 31*u + 167. Calculate the lowest common multiple of z(35) and p.
27
Calculate the common denominator of -25/22 and 37/(-22)*(-266)/(-399).
66
Let y be (-16)/(-24) + (-1885)/(-3) + 0. Let x = y + -1865/3. What is the common denominator of (10/4)/(6/(-4)) and x?
3
Let b(x) = x**3 - x**2 + 8*x + 3. Let w be b(-5). Let h be 14 + (-39 - -7) + 0. Find the common denominator of 63/46 and w/h + 5/(5/(-4)).
414
Let w = -12/295 - 20777/4130. Suppose 18*q - 22*q = -4. What is the common denominator of w and -1 - q*(-274)/24?
84
Let b = -6763 - -7005. Calculate the least common multiple of 407 and b.
8954
Let v = -18 - -32. Suppose 4*u + 2*q + 18 = 12, 0 = 2*u + 3*q + 9. Let p(b) = -2*b**2 - 2*b + 16. What is the lowest common multiple of v and p(u)?
112
Let s(y) = -3*y - 14. Let x be s(0). Let m be 7/((-196)/(-8)) - (-4)/x. Calculate the least common multiple of 7 and m + -3*(3 + -2)/(-1).
21
Suppose -3*y - 9685 - 5234 = -4*o, 2*o - 7449 = 5*y. What is the least common multiple of o and 4?
3732
Let a = -3203494/121 + 26475. Calculate the common denominator of a and -139/30.
3630
Suppose p - 63 = 10*p. Let y = 20 - p. Calculate the smallest common multiple of y and 33.
297
Calculate the lowest common multiple of (-204192)/(-768) - (-2)/16 and 152.
1064
Let o = 978004252349/6216 - 157336589. Let k = 1/10360 + o. What is the common denominator of 8/21 and k?
210
Let u be (304 - -3) + (-2 - 1). Suppose 3*n - 15 = 0, 5*x + u = x - 4*n. Let j = 557/8 + x. What is the common denominator of -69/4 and j?
8
Let c be (-2)/(-6) + (-99)/(-27). Let g be 1*(0 - 1) - -6. Suppose 3*s + 4*y - 26 = c, -50 = -g*s - y. What is the least common multiple of 12 and s?
60
Let g = 16 - 5. Suppose -267 + 36 = g*x. Calculate the common denominator of (14/x)/((-16)/(-3)) and 21/10.
40
Let z = 1 - -13. Suppose -7*u = -10*u - 27. Calculate the common denominator of -85/6 and (-12 - u)/(z/33).
42
Let f be ((-12)/(-14))/(26/910). Suppose 216*a = 217*a - f. What is the lowest common multiple of a and 39?
390
Let n = -88737/1064 + 1570/19. Let h = 4187713/126 + -33236. What is the common denominator of n and h?
504
Let r be 41 - (-2 - 0 - -3). Suppose -3*f - f + r = 0. Suppose 95 + 13 = 6*c. What is the least common multiple of c and f?
90
Let k be (33/6 + 2)*1/789. Let v = k + 10763/2104. Find the common denominator of -70/3 and v.
24
Let p = -3/3139 + -27987/276232. Calculate the common denominator of 91/88 and p.
88
Suppose -o = -43 - 43. Let a = o - 128. Let c = -11/228 - -2131/456. Find the common denominator of c and a.
8
Let d = -8590 - -9234. What is the smallest common multiple of 368 and d?
2576
Let k = 4/8715 + -151657/34860. Calculate the common denominator of k and ((4/44)/((-122)/(-109373)))/21.
420
Suppose 4*y + 11*l = 5*l + 54, y - 11 = -l. Calculate the smallest common multiple of 2604 and y.
2604
Let n = -20881/20850 - 80/417. Find the common denominator of n and -59/960.
4800
Let l(d) = 22*d - 106. Let y be l(5). Suppose -4*a - 4 = 0, -3*z + y*a + 41 = -8. What is the smallest common multiple of 165 and z?
165
Let r = 9209789/1144 + -16101/2. Find the common denominator of r and 53/99.
10296
Let a = 8357326571/1952423850 - -25/1001243. Let r = a + -47/75. Find the common denominator of r and 67/40.
520
Let h(o) = -o**3 + 8*o**2 - 2*o - 19. Let x be h(7). Let c be 400/x + -1 + 1. Suppose 0 = 3*s + 16 - c. What is the smallest common multiple of s and 9?
9
Suppose 6*x - 315 = -105. Find the common denominator of ((-6)/x)/(8/(-160))*2 and -17/41.
287
Let h be 27/18*1*2. Suppose -14 = d + 5*f, -h*d = 2*d + 4*f - 14. Suppose -150 = -192*b + 187*b. Calculate the smallest common multiple of d and b.
30
Let f = 5771817977/1744367704 - -56/4993419. Let u = f - -96/131. What is the common denominator of u and -15/14?
168
Let l = 106563/7 - 80349041/5278. What is the common denominator of 131/696 and l?
9048
Let j(u) = -u - 3. Let l be j(-5). Let z be (-2)/(l/(2 + -28)). Suppose -2*o - o = 2*g - 34, 3*o + z = g. What is the lowest common multiple of g and 8?
40
Suppose -5*m + 175 = -5*w, -