 = 4/14305 + 389004/329015. Let n = 5989/1840 + b. Calculate the common denominator of n and -11/20.
80
Let h = 395/2298 + -2/383. What is the common denominator of h and 121/102?
102
Let v(x) = -5*x**2 + 31*x - 20. What is the smallest common multiple of (10/(-4))/(1/(-4)) and v(5)?
10
Let g(d) = -5*d + 57. Let b be g(12). What is the common denominator of (b + 104)*(-5)/70 and -7/20?
140
Suppose 2*n - 42 = 5*c, 3*n - 27 = 2*c + c. Let y(x) = 2*x**2 + 7*x - 24. What is the common denominator of -13/11 and y(c)?
11
Calculate the common denominator of 73/226 and ((-21)/(-20))/(-1*(-96)/(-280)).
1808
Let j be ((-4162)/(-5))/((-12)/(-21)). Let u = j + -1458. What is the common denominator of 29/(-1)*3/54*-3 and u?
30
Calculate the common denominator of ((-80)/(-360))/(40/(-37)) and 31/4.
180
Suppose 2*z = 4 - 2, s + 2*z = 18. What is the lowest common multiple of 90 and s?
720
Suppose 5*s - 44 - 36 = 0. Let p be (-21)/14 + (-19)/(-2). Suppose 0 = -2*z + 28 + p. What is the smallest common multiple of z and s?
144
Suppose -3*l = -l - 10. Let i(q) = 2*q**3 + 2*q**2 + q - 2. Let z be i(1). Suppose 2*n = -z*n + 40. Calculate the smallest common multiple of n and l.
40
Let l be (-8)/(-16) - (-65780)/(-6). Let k = 10988 + l. What is the common denominator of -7/2 and k?
6
Let y = -6927069589/4934 - -1403946. Let q = -17328483/54274 - y. Let u = -319 - q. What is the common denominator of -107/10 and u?
110
Find the common denominator of 12/21 + (-40212)/75222 and -41/5.
2985
Let f = 11 - 1. Let g = -9 + 11. Suppose g*q - 3*w - 6 = 36, 0 = -3*q - 4*w + 46. Calculate the smallest common multiple of f and q.
90
Suppose 0 = 5*a - 3*o - 55, a + 3*a - 22 = -2*o. Suppose 4 = 3*j - 8, 4*k + 4*j - 32 = 0. What is the least common multiple of k and a?
8
Suppose -7*u = 7 - 35. Find the common denominator of 46/5 and 2*u/(-56) + (-2151)/(-210).
10
Let j = 131 + -127. Calculate the lowest common multiple of j and 14.
28
Let k = 42 - 36. What is the smallest common multiple of k and 2?
6
Suppose -5*s = 5*t - 130, -3*s - 5*t + 81 + 1 = 0. Calculate the least common multiple of s and 180.
360
Let i(o) = -o**2 - 23*o - 124. Calculate the smallest common multiple of 48 and i(-12).
48
Let v = -1022 - -1030. What is the lowest common multiple of v and 188?
376
Let m(x) = -19*x**3 + 2*x + 1. Suppose 2*p = -3*p. Let b be (1 - 2)*(p - -1). What is the smallest common multiple of 8 and m(b)?
72
Let r(i) = -3*i - i + 1 - 5*i. Let d be r(-1). Suppose d*y - 5*y = 35. What is the least common multiple of y and 8?
56
Suppose -4*n = -2*h + 680, -120*n + 117*n = -4*h + 1350. Calculate the lowest common multiple of 6 and h.
336
Let b be (3000/(-45))/(2/(-96)). What is the lowest common multiple of 6 and b/125 + 4/10?
78
Calculate the common denominator of -119/30 and (-58)/(-20) - 9/((-189)/(-14)).
30
Let a(v) = -v**3 + 2*v**2 + 4*v + 3. Let n(k) = -k**2 - 24*k - 74. Calculate the lowest common multiple of a(-2) and n(-20).
66
Find the common denominator of -133/24 and (249/(-45))/(190/(-25)).
456
Let i(w) be the third derivative of -5*w**4/24 - 49*w**3/6 - 7*w**2. What is the lowest common multiple of i(-14) and 3?
21
Let r be 4 + (-382)/68 + 2. Let n = r + 70/17. Find the common denominator of 131/24 and n.
24
Let r be -87*(-1)/1 - 48/(-48). What is the common denominator of 9/8 and -17 + 16 - 2/r?
88
Suppose -3*n - 29 - 49 = -3*c, -4*c = -5*n - 125. Let l = n + 35. Calculate the common denominator of 2832/280 + 4/l and 19/8.
40
Calculate the lowest common multiple of 18 and (-35)/(-2)*(4 - (-24)/(-10)).
252
Let k be (-12499)/(-4) - (-9)/(-12). Let u = k - -1245. Let t = u + -69951/16. Calculate the common denominator of -23/22 and t.
176
Let w = -772 + 808. What is the lowest common multiple of 240 and w?
720
Let t be 0/(-2) + (-52048)/(-27280). Let m = t + 2/1705. What is the common denominator of 77/10 and m?
110
What is the smallest common multiple of (-6)/(3/((-570)/20)) and 10?
570
Let y(w) = -4*w**2 + 6*w - 60. Let g(d) = d**2 - d + 12. Let a(p) = 11*g(p) + 2*y(p). What is the least common multiple of 2 and a(-3)?
36
Let o(v) = v**2 - 14*v + 14. What is the least common multiple of o(14) and 84?
84
Let y = 131 - 125. Calculate the lowest common multiple of 33 and y.
66
Let t(x) = x**2 + 5*x - 3. Let o(s) = -6 + 0 + s**2 - 6*s**2 + s**3. Let d be o(5). What is the least common multiple of t(d) and 7?
21
Suppose -2*z = -4*z + 32. Suppose 0 = -n + 3*i - i + 7, 2*n - 5*i = z. Suppose 0*a + 4 = a. Calculate the lowest common multiple of a and n.
12
Suppose -2*x = -8 - 4. Suppose -7 - 29 = 3*b. Let y = -11 - b. What is the smallest common multiple of y and x?
6
Let x = 88826709951/9003165256 - -7000/1310123. Let f be (-874)/4295 + (-24)/(-120). Let c = x - f. Calculate the common denominator of c and -63/4.
8
Let w be (-2487)/36*1 + -2. Let y = -71 - w. Calculate the common denominator of (-1)/6*5 + 1 and y.
12
Let l = 2485121/2848905 - -2/60615. Find the common denominator of l and -73/3.
141
What is the smallest common multiple of (-6)/(-27)*1 + (-7760)/(-72) and 189?
756
Let z = -269/5 - -11552/215. Let r be 465/(-172)*52/6. Let q = r + z. Calculate the common denominator of q and 91/24.
24
Let l(p) = -p + 27. Let a(o) = 2*o**3 + o**2 + 2*o + 18. Calculate the least common multiple of a(0) and l(11).
144
Let k = -935/6 - -4571/30. Find the common denominator of k and (-3260)/2160 - (-1)/4.
135
Let q be (-2)/(-5) + (-54)/(-15). Let o = 22 - q. Let s(j) = j**2 - 2. Calculate the lowest common multiple of o and s(2).
18
Let l be (-12)/8*11912/60. Let a = l + 295. Calculate the common denominator of a and 77/8.
40
Let k = -518/2963 - -25103717/23704. Let w = -1057 + k. Find the common denominator of w and 129/(-84) + -2*10/16.
56
What is the least common multiple of 240 and (-438)/(-20) + 184/1840?
2640
Let w = 24 + 8. Let r = -22 - -16. Let x(t) = t**3 + 8*t**2 + 7*t - 8. What is the least common multiple of x(r) and w?
352
Let t(z) = -z**3 - 6*z**2 - z + 5. Let j be (-64)/10 - 8/(-20). Let n be t(j). Let m = n + 17. Calculate the lowest common multiple of m and 22.
308
Suppose 0 = 13*f - 10*f - 225. What is the least common multiple of 6 and f?
150
Let l(o) = 23*o**2 - 8*o - 3. What is the lowest common multiple of 314 and l(1)?
1884
Let g be 24/36*(-1 + 4). Suppose 23 = a - 5*i, -11 = -5*a + i - g*i. Calculate the least common multiple of a and 33.
33
Suppose 0*p + b = 5*p - 16209, -16225 = -5*p + 5*b. Let j = -19325/6 + p. What is the common denominator of j and (-71)/(-12) + 2/4?
12
Suppose 0 = -5*f + 131 - 111. Suppose 2*i = f*g - 22, 0 = 2*g + 6*i - i - 17. What is the smallest common multiple of 6 and g?
6
Calculate the common denominator of (-4)/(-8) - (-2430)/(-4985) and 65/12.
11964
Let t = -23 - -26. Suppose -2*l - 92 = -t*l - 5*x, -4*l + 2*x = -368. Calculate the least common multiple of 2 and l.
92
Let v = -33 + 70. Suppose -15 = o - v. What is the least common multiple of 4 and o?
44
Calculate the common denominator of 17/45 and 556/360 + -6 + (-3 - -6).
90
Suppose g = 5*g - 8208. Let a = g - 6229/3. Calculate the common denominator of a and 41/27.
27
Let s = -1334926/487107 + -4/18041. Let c = 1703/270 + s. Find the common denominator of 133/30 and c.
30
Let s(x) = x**2 + 6*x - 2. Suppose 5 = -2*l - 11. Suppose -4*h = 33 - 105. Calculate the lowest common multiple of h and s(l).
126
Suppose -3*k + 4*x - 1 = 3*x, 0 = k + x - 5. Calculate the smallest common multiple of k/(31/10 - 3) and 10.
10
Let f be (-10)/25 - (-6)/15. Suppose d - 7*p = -2*p + 32, f = -d + 2*p + 20. What is the smallest common multiple of d and 357/35 + 1/(-5)?
60
Let s(o) be the third derivative of o**5/60 + 11*o**4/24 + o**3/3 + 13*o**2. Calculate the lowest common multiple of s(-11) and 4.
4
Let a be (-2)/10 - 27/15. Let d = 1685 - 1663. What is the smallest common multiple of a + 21 + (2 - 1) and d?
220
Let w = -50/14466091 + 97987297010835/1330880372. Let g = 73624 - w. Let m = -42/23 + g. What is the common denominator of -1/10 and m?
20
Let i be 4/(-1) + ((-10255)/(-917) - 7). Let k = i - 14449/2358. Calculate the common denominator of 7/66 and k.
198
Let f be (-1)/(-2) - ((-309)/(-54) - -1). Let z = 985/18 + f. Find the common denominator of z and -67/14.
14
Let g = 3/2438 - 18947/426