Let l = -4893/2 - -2427. What is the common denominator of l and r?
8
Let y = -6423 - -6433. Calculate the least common multiple of 100 and y.
100
Let b = 15 + -41. Let p be (-15 - -16)/((-2)/b). Let j(n) = -n**3 + 14*n**2 - 13*n + 8. Calculate the smallest common multiple of 1 and j(p).
8
Let o be 59/(-4)*2*(30 + -8). Let x = 4033/6 + o. Find the common denominator of -11/51 and x.
102
Let i = -21605 + 21609. Calculate the lowest common multiple of 6024 and i.
6024
Suppose 10 = -5*n, -3*n - 52 = -3*f - 4*n. Let g(l) be the first derivative of l**2/2 + 6*l + 5. What is the lowest common multiple of f and g(14)?
180
Let d be (-547026250)/(-182342780) - 1/1 - 2. Let g = -864919149185/488003982114 + d. Let m = g - -12/811. What is the common denominator of m and 40/3?
33
Suppose 7*u + 80999 - 83092 = 0. Calculate the lowest common multiple of 1170 and u.
26910
Suppose 107 = 5*p - w + 2*w, 94 = 4*p - 2*w. Calculate the common denominator of (p/(-7))/(4047/(-133)) and 91/24.
1704
Let c = -11 - -8. Let h(m) = 4*m**2 - 3*m**2 + 6*m**2 - m**3 - 2*m**3 + 4*m**3 + 7*m. Calculate the lowest common multiple of 33 and h(c).
165
Let z = -403/8 + 171/4. What is the common denominator of z and -36/35?
280
Suppose -14 = 4*j + 5*z, 0 = 5*j - 0*j - 2*z + 34. Let g = -2 - j. Let f(s) = 83*s - 117. Calculate the lowest common multiple of f(2) and g.
196
Let j(k) be the first derivative of -2*k**2 - 98*k - 3. Calculate the least common multiple of j(-27) and 280.
280
Let i = 2/2673 + -89995/5346. Let s = -25525/7 + 3639. Let l = 1570/217 + s. What is the common denominator of i and l?
186
Let w(s) = -s**3 - s**2 + 43*s - 5. Let r be w(6). Suppose -4*t + 91 = 2*j - 1259, 0 = j - r. Calculate the lowest common multiple of 10 and t.
3370
Let h = -28209821/228 + 123727. What is the common denominator of ((-260)/(-39))/(-5) + (-1)/(-132)*278 and h?
2508
Let z = 1509062/567 + -18624/7. Let v = -18847/473814 - 3/4786. Find the common denominator of v and z.
891
Suppose c - 3*c = 4*l - 148, 3*c - 5*l - 266 = 0. Suppose 4*o + 48 = -v, -5*v - 188 = 4*o + 116. Let y = v + c. What is the lowest common multiple of 30 and y?
90
Suppose 392*z - 461*z + 169464 = 0. What is the least common multiple of z and 2456?
2456
Let v(z) = -z**3 + 43*z + 48. Calculate the smallest common multiple of 255 and v(-7).
1530
Suppose 5*q = q + 20, -4*q = v - 29. Suppose 2 = 4*j + 5*k, -6 = k - 4. What is the smallest common multiple of v and j?
9
Suppose -2*d + 36 + 100 = 0. Let g = 467/3 - 9637/60. Calculate the common denominator of g and (d/66)/(40/(-90)).
220
Calculate the common denominator of ((-10)/(-750)*470)/5 and 1/165.
825
Let a(c) = 3*c**3 - 2*c**2 - 3*c + 5. Let g be a(2). Let m = 109/36 + -22/9. Find the common denominator of m and g*(-2)/(-4) - -2.
12
Suppose -4*v - 5*y + 39 = 0, -v = 4*y + y - 21. Let n(j) = 9*j**2 + 124*j - 27. Calculate the least common multiple of n(-14) and v.
6
Let l = 127 - 72. Suppose 0*v + 5*v + 265 = 0. Let h = l + v. Calculate the smallest common multiple of h and 22.
22
Let d = 610773 + -23820109/39. Calculate the common denominator of (-82)/9*3/(-4) and d.
78
Let l = 17389/20638 - -42/607. Let u = 1/261 + 7045/522. Let g = u - 52. Calculate the common denominator of g and l.
34
Let o = -194 + 203. Suppose -o*q + 14*q - 120 = 0. Calculate the least common multiple of 44 and q.
264
Let u = 23/53 + 669/901. What is the common denominator of u and -31/459?
459
Let b = -348701/32 + 10898. Let y = -200 - -29. What is the common denominator of b and y/12*1 - 16/(-8)?
32
Suppose 8*m + 74609 = 554569. Let j = -4319561/72 + m. What is the common denominator of j and -139/48?
144
Find the common denominator of 566/190 + ((-18)/(-5) - 4) and -2 - (-88)/18 - (-220)/55.
171
Suppose 184*v - 180*v + l = 6190, -2*v + 3*l = -3088. What is the least common multiple of 56 and v?
12376
Suppose z + 21 = -3*t, -43 + 4 = 2*z + 3*t. Let c = -286 - -526. What is the common denominator of -139/36 and (522/c)/(z/(-15))?
144
Let w = -75091/42 + 5366/3. What is the common denominator of -67/82 and w?
574
Suppose 3*m + 6 = 2*l + m, 0 = 2*l + 3*m - 6. Let p be (-8)/6*(l - (-9)/6). What is the least common multiple of 20 and 44/22 + p/(-2)?
20
Let t = -67703/24 + 5643/2. Find the common denominator of t and -131/2340.
4680
Suppose 122*j + 9294 = 76882. What is the smallest common multiple of j and 1?
554
Suppose 11*n - 16*n - 7893 = -2*a, -7923 = -2*a - 5*n. Calculate the least common multiple of a and 4613.
27678
Let a = -6790 - -7755. Calculate the least common multiple of 1737 and a.
8685
Let n = 8 - 5. Suppose n*m - 9 = z + 25, -5*z = -3*m + 38. Let c(d) = 502*d - 498. Calculate the lowest common multiple of m and c(1).
44
Suppose -5*n = -5*h + 345, 0 = -2*n - 5*h - 3 - 149. Let u = 74 + n. Calculate the least common multiple of u and 18.
18
Let r(s) = -s**3 - 11*s**2 + 29*s + 393. Calculate the lowest common multiple of 1 and r(-13).
354
Let z(b) = 94*b**2 - 455*b. Calculate the smallest common multiple of z(6) and 2.
654
Let r(d) = 4*d**2 + 122*d + 300. Calculate the least common multiple of r(-28) and 1160.
1160
Let h(p) = -p + 23. Let q be h(-6). Let v = q - 28. Suppose -v = -4*o + 143. Calculate the lowest common multiple of 8 and o.
72
Suppose 0 = -54*s + 202334 + 224482. Calculate the least common multiple of 16 and s.
7904
Suppose -s - 11*h + 2 = -6*h, 4*s + 2*h = 8. Let j(m) = 14*m - 19. What is the smallest common multiple of 6 and j(s)?
18
Suppose -3*t - 66889 = -4*s + 6*s, -111486 = 5*t - s. Let f = -6232 - t. Let p = -385487/24 + f. Calculate the common denominator of p and 37/36.
72
Let s(x) = -13*x + 427. What is the least common multiple of 18 and s(-44)?
1998
Let f(t) = -3*t**3 + 6*t**2 + 8*t + 36. Calculate the smallest common multiple of 850 and f(3).
28050
Let k(t) = -15*t + 14. Let q be k(0). Suppose -241 = -q*p + 375. Calculate the least common multiple of 77 and p.
308
Let x = 1846 - 1760. Let v be 1020/(-16) + 1/(-4). Let y = x + v. What is the smallest common multiple of y and 20?
220
Let h be (4 + (-42)/15)/((-2)/(-15)). Suppose 0 = -2*r + h*r + 70. What is the common denominator of r/54*(-297)/18 and -59/8?
72
Let k = -61 + 106. Suppose -863*l - 4*h = -865*l + 72, 2*l - 57 = -h. What is the smallest common multiple of l and k?
90
What is the common denominator of 21*(-7)/(-196) - 361/528 and 29/6?
528
Let j = -138269 - -5806837/42. Let h = j + 171/14. Let o = -19/41 + -4519/246. Calculate the common denominator of o and h.
42
Suppose -236 = -4*d - 5*o, 29*d - 2*o = 33*d - 248. Let g(a) = 73*a**2 - 2*a + 1. Calculate the smallest common multiple of g(1) and d.
576
Let k = -1666417/40 + 41658. Find the common denominator of k and -91/5336.
26680
Let a(l) = -2*l - 41*l**2 + 4 + 5 + 37*l**2 + l**3 + 1. Calculate the smallest common multiple of a(6) and 10.
70
Suppose -2*s + 1 = 5. Let l = -9956/9 - -1101. Calculate the common denominator of ((-6)/24)/(s - (-213)/120) and l.
9
Let o = -3779/126 - -30. Let k = 79/252 + o. Let n = 1/81 + 4021/162. Find the common denominator of k and n.
84
Let i(g) be the third derivative of -g**4/4 - 19*g**3/3 - 3*g**2. Let m be i(-7). Find the common denominator of (-165)/18 + m*3/(-6) and -63/2.
6
Let o(g) = -g**3 + 11*g**2 - 14*g + 12. Let a(n) = -n + 17. Suppose 2*q = 2*y - 3*y + 24, 0 = 3*y - 6. What is the lowest common multiple of o(9) and a(q)?
48
Let d be (-4)/(48/6)*-769 + -5. Let t = d - 373. What is the common denominator of t and 113/66?
66
Let d = 63 + -57. Calculate the least common multiple of (9/(-7))/((-75)/350) and d.
6
Let i = -159179 + 96749. Let z = i - -6867231/110. Find the common denominator of 47/30 and z.
330
Let p(t) = -t**2 - 23*t + 83. Let q be p(-26). Suppose -60 = -0*k - q*k - 5*h, -2*k = -4*h - 24. Calculate the least common multiple of 30 and k.
60
Let p(u) = -219*u + 894. Let r(k) = -k - 1. Let y be r(3). Calculate the lowest common multiple of (y/(-10))/((-12)/(-360)) and p(4).
36
Let i be (162/(-12))/(-9)*-58. Calculate the least common multiple of 32 and 6/(-54)*i*12.
928
Let n(m) = -49*m + 1356. Calculate the smallest common multiple of 18 and n(15).
1242
Let y = 512 + -15361/30. Let z be (-5)/(-15) + (-1137)/9. Let a = 370/3 + z. Find the common denominator of a and y.
30
Suppose -138