14 and (x/z)/(-5) - (-2)/(-3).
70
Let i be (-8 - 280/(-24))/((-2)/120). Let y = -211 - i. What is the least common multiple of 54 and y?
54
Suppose -162 = -11*p + 2*p. Suppose 3*x - p = a, -4*x - 3*a = a - 40. Calculate the smallest common multiple of 11 and x.
77
Let i = -21/529 + -58975/6877. Let b = -12760695/104 + 122700. Let q = b - i. Calculate the common denominator of q and 65/32.
32
Let u be (2/3)/(4/3732). Let v be 3/(-30)*-6151 - (-10 - -6). Let b = v - u. What is the common denominator of 1 and b?
10
Let k(n) = 13*n**2 - 6*n - 7. Let o be k(-1). What is the common denominator of (-5)/(-3)*132/32 and ((-5238)/(-144))/((-27)/o)?
24
Let l be -1 - (-2 - (-1 + 3)). Suppose -8 = 2*n - b - 22, 0 = l*n - 4*b - 26. Let g = -14906 - -14913. What is the least common multiple of n and g?
42
Suppose -551 = -4*w - 3*n, 3*w + 2*n - 27 - 385 = 0. Let u = w - 123. Suppose -u + 83 = 3*o. What is the smallest common multiple of 40 and o?
120
Let b be 48/360 - (2 - 189962/(-15)). Let a = b + 532075/42. Calculate the common denominator of -61/63 and a.
126
Let w(u) = u**2 + 12*u + 22. Let j be w(-10). Suppose -12 = 3*p, j*m + 4684 = 2*p + 2*p. Find the common denominator of 91/10 and (-2)/5*m/520.
130
Let c = 257 - 145. Suppose -14 - c = -6*z. Calculate the least common multiple of 39 and z.
273
Let p = -22 + 204. Let d = 49/17 + 1729/102. What is the common denominator of ((-665)/p + 1)/2 and d?
156
Let b = -224833 + 355460986/1581. Let h = -188399/31620 + b. What is the common denominator of -35/32 and h?
160
Suppose -20*h = -105 - 55. Suppose 3*r - 3*u = 180, -h*u + 122 = 2*r - 11*u. Calculate the lowest common multiple of r and 22.
638
Let f be (-240)/(-40) + (2 - 0 - 2). Suppose 17*a + f = 19*a. What is the lowest common multiple of a and 9?
9
What is the common denominator of 7/103 and (14/13)/(142/213)?
1339
Let c = 6 + -2. Let w(s) = -s**3 + 6*s**2 - 6*s + 4. Let g = -1705 + 1709. What is the least common multiple of g and w(c)?
12
Calculate the common denominator of 2*235/(-30) + 3 - 0 and (4 + (-453)/126)*-2.
21
Find the common denominator of 1880/320*(0 + -1) and 81/3478.
13912
Let z = -21416 - -16254740/759. Let o = z - -18236/3795. Calculate the common denominator of o and 43/5.
5
Let k be 2 - (-2586 + -1 + -2). Let y be 1 - (313030/120 - 4/(-6)). Let z = y + k. Find the common denominator of -133/18 and z.
36
Let r = -1/2844 - 193337/156420. What is the common denominator of r and 181/180?
1980
Let i(v) = -6*v**3 + 5*v**2 + 5*v**3 - 1 - 5. Let k be i(4). Suppose -13*p + k = -12*p. Calculate the least common multiple of p and 20.
20
Calculate the common denominator of (2/21)/(288/784) and 3*(-5)/(720/254).
216
Let p(y) = -y**2 + 20*y + 13. Let z be p(13). Calculate the common denominator of (-30)/(-40)*z/(-207) and 73/15.
345
Suppose 2*x = x - 3, -18 = q + 3*x. Let y be (-3 - 1) + (-5)/(15/q). What is the common denominator of -83/6 and (-2)/y - (478/(-60))/(-1)?
30
Let a = 21015/8378 + -523/236. Let c be 0 - (3 - (17994/2414 + -3)). Let y = a - c. Calculate the common denominator of y and -143/6.
204
Let v = 53578/7893 + -9/877. Suppose 4*n - 202 = -46. Let a = n - 263/6. What is the common denominator of a and v?
18
Suppose 49*d - 30832 = -146*d - 133*d. Calculate the lowest common multiple of d and 6.
282
Let h(s) = 3*s**3 - 489*s**2 + 490*s + 313. Calculate the least common multiple of 11 and h(162).
10571
Let b = -11523 + 276631/24. What is the common denominator of (-2)/4 - 85/(-36) and b?
72
Suppose -d - 7860 = -7*d. Let g be -6*-3*d/135. Let z = 2434/15 - g. What is the common denominator of z and -29/11?
55
Let k be ((-1)/2)/(7 - 1854/264). Let z = 2 + k. Let v = -31 - -61. What is the least common multiple of z and v?
120
Let i = -378 - -363. What is the least common multiple of i/(-75)*(3 - -2) and 103?
103
Let c = 203 - 123. What is the lowest common multiple of c and 2/3 - (-1612)/93?
720
What is the common denominator of 17763/(-81180) + 5/(-2)*80/(-1100) and -29/1230?
2460
Let v be (4/(-6) - (-128)/96)*228. Suppose 2*n = 4*q + v, -5*q - 154 = -n - n. What is the smallest common multiple of 1 and n?
72
Suppose -13*j = -4*j - 108. Find the common denominator of j/660*(-3)/(6/335) and 51/146.
1606
Let i(x) be the second derivative of x**5/20 - x**4/6 - x**3/6 + x**2/2 - 25*x. Let g = 28 - 28. What is the lowest common multiple of i(g) and 2?
2
Let y = -290963/13326 + 2/2221. Let l = -233 - -249. Find the common denominator of 4*12/l + (-35)/(-12) and y.
12
Let x(g) = g**2 + 23*g - 95. Calculate the lowest common multiple of 519 and x(-28).
7785
Suppose 0 = -4*g - 323 + 1043. Suppose 0 = 3*p + 15*p - g. What is the least common multiple of p and 12?
60
Let p = 225 + -129. Suppose -14*y = 25 - 53. What is the smallest common multiple of p and y?
96
Suppose -5*c - 153 = 3*f - 4*c, 0 = -5*f - c - 253. Let y = 1583262/149 + -10626. What is the common denominator of y and f?
149
Suppose -24519 = -35*c + 6141. Suppose -228 = -c*w + 864*w. Let a = -7 - -10. What is the least common multiple of a and w?
57
Let n be (-4 + 0 - (1 - 5)) + -4. What is the common denominator of (-11 + 0)*3/(-21) and 3/(-4)*n*6/(-8)?
28
Let n = -28/5247 + -145880/194139. Find the common denominator of n and (-1)/(-2*(-1)/62).
37
Let u = -4336 + 4378. What is the smallest common multiple of 77 and u?
462
Let z(s) = 4*s**2 - s + 2. Let x be z(-2). Suppose x = 9*y - 16. Let k(l) = 4*l - 10. What is the smallest common multiple of 38 and k(y)?
114
Let o(f) = f**3 - 37*f**2 + 37*f - 38. Let n be o(36). What is the common denominator of -9/7 and n/(-13)*1 + (-146384)/52416?
252
Calculate the common denominator of 621/(-69) + 77/(-2) + (-21)/(-7) and (-5405)/(-1700) - 1*3.
340
Let n = 1308760586/33 - 39662370. Let a = n + 2956. Find the common denominator of 43/11 and a.
33
Let p(h) = 0*h - 3*h - 16*h + 3*h**2 - 8 + 2*h. Let z be p(7). Suppose -z*j = -16*j - 256. What is the smallest common multiple of 22 and j?
704
Let z be 6/15 + 9012/(-5) - -2. Find the common denominator of 4/(-6) + (-430)/z and -79/4.
180
Suppose 3*c = -x + 41 - 32, 3*x - 5*c = 27. Let b(k) = k**3 - k**2 + k + 4. Calculate the lowest common multiple of x and b(4).
504
Let a = -5433795 - -31820303597/5856. What is the common denominator of a and 97/44?
64416
Let v(n) = 14*n**2 + 65*n + 40. Calculate the lowest common multiple of v(-7) and 8.
2168
Suppose -9*k - 7374 = -5*n - 11*k, -5964 = -4*n + 20*k. Calculate the smallest common multiple of 108 and n.
4428
Let j = 146889934300603347/574706962475179600 + 7/1630837010429. Let n = j - -2/22025. Find the common denominator of n and 115/6.
528
What is the common denominator of (11095/(-1080) + 10)/((16/3)/(-4)) and -1/27?
864
Let a = -60065 - -1250853623/20825. Let u = a + 9664/12495. Calculate the common denominator of 10/33 and u.
825
Suppose 4*u - 5*k = 28, 4*k = 3*u - 27 + 5. Suppose -5*r = -u*r - z - 72, -r - 2*z = -24. What is the smallest common multiple of 6 and (1 - 0) + (r - 19)?
6
What is the common denominator of -1*(-89)/108 - ((-412)/(-36) + -11) and 43/1746?
10476
Let i(n) be the second derivative of n**4/12 + 3*n**3 - 79*n**2/2 - 8*n - 3. What is the lowest common multiple of i(-26) and 33?
1419
Let r(o) be the first derivative of -3*o**2 - 24*o - 35. What is the lowest common multiple of 30 and r(-9)?
30
What is the common denominator of 13/488 and 4/6 + 509161/(-789279)?
9272
Let v be (-9)/((-405)/9846) + (-2)/(-10). Let f = v + -7847/36. What is the common denominator of f and -83/24?
72
Suppose 4*k + 29*o - 5537 = 28*o, 2758 = 2*k + 4*o. What is the lowest common multiple of k and 554?
2770
Suppose z + c - 218 = 0, 5*z + c - 1010 = 72. Suppose -7*m = m - z. Calculate the lowest common multiple of 3 and m.
27
Let z(a) = 5*a - 45. Let l be z(9). Suppose 3*s - 66 = -l*s + b, -5*b = 0. Let v = s - -26. Calculate the least common multiple of v and 18.
144
Suppose 4*u = 1137 - 217. Let i = u - 112. Calculate the lowest common multiple of i and 7.
826
Let y(w) = -28*w**3 - 59*w - 59. Let c = -5 + 12. What is the least common multiple of c and y(-1)?
28
Let m(b) = 3*b + 42. Let y be m(-14). Let a(q) = -41 + y*q + 45 + 2*q. What is the least common multiple of a(22) and 6?
48
Let f(p) = 98*p**2 - 7*p - 9. Let r be f(-1). What is the