ppose 4*d + 5*v = 136, d - 5*v = 44 + 15. Calculate the least common multiple of 27 and d.
351
Let m be 2/5 - (-246)/(-15). Let h = -218 + 196. Let o = m - h. Calculate the lowest common multiple of o and 16.
48
Let i = -63437817668887/11656578933648 - 7/2955522042. Let n = 7/1479 + i. Calculate the common denominator of 2 - (-1)/((-6)/71) and n.
48
What is the common denominator of 6/(-14) + 13704/(-756) + 17 and 49/23?
207
Suppose -5*d - 13 = -73. Let z be (-2 - 0) + -15 + d. What is the common denominator of 25/((1 - 4) + z) and 151/30?
120
Calculate the common denominator of 2/(-10)*4590/(-108) and ((-39)/18 + 2)*37.
6
Suppose -3*k = -4*d + 21, -17*d - 27 = -3*k - 21*d. Suppose 5*q = -3*w - 28, 3*w - 4*w - 6 = q. Let n = w - -3. Calculate the lowest common multiple of n and k.
2
Let h = -5040 - -15121/3. Suppose -4*t - 44 = -0*u + 4*u, -5*t - 25 = 0. What is the common denominator of h and ((-6)/26)/(u/(-68))?
39
Calculate the common denominator of ((-4)/(-50))/((-120)/(-8925)) and 15/136.
680
Calculate the common denominator of 10/35 + (1 - 88/(-28)) and 29/2.
14
Let o = 10/14477 + 7513463/144770. Let a = -52 + o. What is the common denominator of a and -113/14?
70
Let h = -1964/103 - -138853/1648. Let f = -13177/48 + h. Let t = f - -4426/21. Find the common denominator of t and -107/14.
14
Find the common denominator of -17/218 and 5/30*((-129)/(-6) - -2).
1308
Let d(k) = -2*k + 1 - 2 + 3*k - 4. Calculate the least common multiple of d(7) and 4.
4
Let s(z) = -z**2 - 8*z + 2. Let p be s(-8). Suppose -p*g = -2*n + 8, 0 = 2*n + 3*n - 3*g - 18. What is the least common multiple of 12 and n?
12
Let c = 153 + -1079/7. Let j = 849/55 - 79/5. What is the common denominator of c and j?
77
Suppose 4*l - 9 = -3*s + 26, -15 = -l - 2*s. Suppose -4*f = f - 5*z + 25, -3*z = 5*f + 17. Calculate the least common multiple of l and 2/f + (-18)/(-4).
20
Suppose 2*c - 5*u + 10149 = -2*u, 5*c - 4*u + 25369 = 0. Let k = c + 40665/8. Let b = -917/30 + 242/5. Find the common denominator of b and k.
24
Let p = -47/25 + 2263/100. Let s be ((-27)/126)/((-54)/(-80)). Let x = s + 4673/630. Calculate the common denominator of x and p.
20
Let f = -242 + 272. Let n(z) = -z**2 + 27. Calculate the least common multiple of n(0) and f.
270
Suppose 50*f - 304 = 31*f. What is the least common multiple of f and 34?
272
Let q(x) = x**2 + 4*x - 3. Let a(l) = l**2 + l - 1. Let n be a(2). What is the smallest common multiple of 1 + n + -4 + 4 and q(-5)?
6
Let j = -52 - -61. Let s(p) = -3*p - 10. Calculate the smallest common multiple of s(-4) and j.
18
Suppose 0 = -8*w + 6*w - 8. What is the common denominator of 3*w/16*(-43)/12 and -103/22?
176
Let j = 4250 - 67977/16. Let w = -1983124663 + 7627097404493/3846. Let x = w + 8/641. Find the common denominator of x and j.
48
Suppose 0 = h + 4*l - 43 - 237, -3*l = -4*h + 1082. Calculate the smallest common multiple of h and 12.
816
Suppose 115 = 7*i - 25. What is the lowest common multiple of 120 and i?
120
Let g = -5407667/3984 - -17/1328. Let f = g + 1381. Find the common denominator of 21/5 and f.
15
Let p = 717/22 + -354/11. What is the common denominator of p and 762/54*6/4?
66
Suppose -237 = -3*d - 8*f + 11*f, -f - 391 = -5*d. Calculate the smallest common multiple of d and 26.
78
Let v = 18 - 14. Find the common denominator of 2/v - (-25)/(-6) and -61/6.
6
Let l = 1 + 2. Suppose 20 = -f + l*f. What is the common denominator of -3/2 and (-36)/f*240/(-64)?
2
Suppose 3*w = 2*w + 5. Suppose 0*v - 26 = -2*u - 2*v, -v + 61 = w*u. Let m = 53 + -37. What is the smallest common multiple of u and m?
48
Suppose 88 = 20*f - 92. Calculate the least common multiple of (-44)/(-3) - 4/(-12) and f.
45
Let k be (-3 - -6) + -2 - 3. Let m(p) = p**3 + 3*p**2 + p - 2. Let d be m(k). Let u = 7 + d. Calculate the lowest common multiple of u and 11.
77
Let a be -3 + (0 - 0) - (-11 + 8). Calculate the smallest common multiple of 2 and (-45)/10*-2 + a + 0.
18
Let y(h) = -h**3 + 5*h**2 - 3*h + 12. Let j be y(5). Find the common denominator of -8/5 and (-12)/j - (-530)/(-114).
285
Suppose -6*y = 5*u - 75, -12*y = -9*y - 4*u - 18. Suppose 5*k - 42 = 4*h, 2*h = 5*k - 0*k - 46. Let r = -6 + k. Calculate the least common multiple of y and r.
20
Suppose -5*o = -2*o - 27. Let z = 28 - 30. What is the lowest common multiple of z - -1 - (-9 + -1) and o?
9
Suppose 13*j - 14*j - 5*y = -265, 0 = y - 5. What is the lowest common multiple of 24 and j?
240
Let g be -3 + (39543/12 - 4). Let i = g - 3263. Calculate the common denominator of -73/6 and i.
12
Suppose 1834 = 18*m - 3566. What is the lowest common multiple of 300 and m?
300
Suppose 2*r = -0 + 28. What is the lowest common multiple of r and 284?
1988
What is the common denominator of -61/42 and (-306)/(-28) - 4/1?
42
Suppose 17 - 23 = -h. Suppose -b = -2*y - 20, 4*b = -y - 0*y + 62. What is the least common multiple of b and h?
48
Let a = -3 - 25. Calculate the common denominator of 107/6 and -2 + a/160*-18.
60
Suppose -3*a + 9*a - 12 = 0. What is the least common multiple of a and (-9)/(-2) + -5 - 75/(-6)?
12
Let p = -154063/74 - -2082. What is the common denominator of -99/20 and p?
740
Let j(v) = 9*v + 2*v**2 + 14 - 3*v**2 + 3*v. Let u = -12 - -24. Calculate the smallest common multiple of j(u) and 22.
154
Let l(m) = m**3 - 14*m**2 + 45*m - 16. Calculate the lowest common multiple of 2 and l(10).
34
Let r be 3*-1 - (-13 + 15). Let g = r + 1. Calculate the common denominator of g/12*174/(-8) and -44/9.
36
Suppose -3*g - j = -67, 12*j = 17*j - 5. Calculate the lowest common multiple of g and 72.
792
Let p = 913349/30 - 30441. What is the common denominator of p and 79/20?
60
Let f(c) = c**3 + c**2 - 12*c + 10. What is the lowest common multiple of f(4) and 72?
504
Let v(p) be the second derivative of p**3/6 - 5*p**2/2 + 11*p. What is the lowest common multiple of v(22) and 10?
170
Find the common denominator of (-355)/3360*-27 - (-8)/(-14) and -49/76.
608
Let u = 24179/2216 + -10/277. Let c = -104 - -205. What is the common denominator of u and (c + -7)/(2*-1)?
8
Let f = -1054 + 1060. What is the least common multiple of f and 59?
354
Let v = -256 + -145. Let i = -2421 - v. Let u = -16191/8 - i. Calculate the common denominator of u and -23/14.
56
Let r = -86257/18 + 4790. Let s = -21401 - -151905/7. Let z = 24889/84 - s. What is the common denominator of r and z?
36
Suppose 0 = 3*a - 5*o + 2*o - 21, -2*a + 5*o + 23 = 0. Let m be 8/6*(-408)/17. Calculate the smallest common multiple of 6/(-15) + m/(-5) and a.
12
Suppose -2*r - 2*x = 28 + 2, 0 = -5*r + x - 75. Find the common denominator of 3 - (2 - (-174)/r) and -27.
5
Let t = -6 - 0. Suppose -1 = m + 3*q, 1 = 3*m - 3*q + 8*q. What is the common denominator of ((-22)/t)/(m/(-4)) and 74/3?
3
Let w = -6/6245 - 29461/1836030. Find the common denominator of w and -43/6.
294
Let z(u) = 3*u**2 + 21*u + 8. Let w be z(-8). Calculate the lowest common multiple of 2*(-2)/((-12)/15) and w/10 + 4/5.
20
Suppose -g + 2*o + 500 = 0, 0*g - 1000 = -2*g - 3*o. Let l = -5007/10 + g. Find the common denominator of l and 7.
10
Let i = -31882/9792425799 + 302003007843556269881/14120678002158. Let o = i + -21387292. Let m = o - -32/103. Find the common denominator of m and -11/20.
140
Let g = -1699461407 - -20638259355301/12144. Let k = g + 1/1104. What is the common denominator of k and -1*244/32 + 3?
88
Let y(d) = 3*d**2 + 6*d - 36. What is the least common multiple of 90 and y(6)?
540
Suppose 0 = 4*k + 5*s - 23, -2*s - 2*s = -12. Suppose 3*f - 4 = f - k*o, -4*o - 12 = -f. Calculate the common denominator of 31/4 and (-25)/2 - (-2 + f).
4
What is the common denominator of -71/54 and (135/18)/(-15) - 88/30?
270
Let k = 5/719 + 38037/10066. Let i be (-2)/7 - 38155/7. Let z = i + 43665/8. What is the common denominator of z and k?
56
Let a = -152 + 153. Suppose -14 - a = -5*o. What is the smallest common multiple of 5 and o?
15
Let c(j) = 40*j - 895. Calculate the lowest common multiple of c(25) and 3.
105
Suppose 5*p + u - 171 = -52, 38 = 2*p - 2*u. Suppose 3*s = -2*v + 4*s + p, 0 = v - 2*s - 16. What is the least common multiple of 14 and v?
70
Let z(d) = -13 - 3*d + 0*d - d**2 + 15*d. Let s be (-140)/(-21)*12/8. What is the smallest common multiple of z(s) and 11?
77
Let f = 