*g - 60*j + 55*j, 0 = g + 4*j - 74. Calculate the least common multiple of c(6) and g.
30
Let x(q) = -78*q - 20. Let f be x(-3). Find the common denominator of -55/6 and f/4 + -3 + -4.
6
Suppose 0 = 44*u - 45*u - 5, -2*p = 4*u - 28802. Let a = 475628/33 - p. What is the common denominator of -83/15 and a?
165
Let t(d) = d + 11. Let g be (-560)/(-60) + (-2)/6. Suppose 5*z = 30 + 30. Calculate the smallest common multiple of z and t(g).
60
Let g be 4 + 4/(224/(-2456)). Let v = g - -2203/63. Find the common denominator of (-813)/270 - 2/(-5) and v.
18
Let p be 61 + -56 + (-790937)/130740 + -1. Let f = 2/6537 - p. What is the common denominator of -17/15 and f?
60
Let x = 227223/8 - 28396. Suppose 0 = -3*k + 2*k + 6. Let o(q) = -q**3 + 7*q**2 - 6*q - 7. Find the common denominator of o(k) and x.
8
Calculate the lowest common multiple of 90*(1 + (-3)/6) and (20/9)/((-125)/(-3375)).
180
Let a be (-15)/(-6)*4/(-5)*-14461. Let k = a + -1966745/68. What is the common denominator of k and 57/14?
476
Let x(o) = 45*o + 1. Let m be x(-1). Let p = -1895 - -1683. Find the common denominator of -22/15 and (1/m + 0)/((-3)/p).
165
Suppose -k + 155 + 96 = 4*u, -526 = -2*k - 2*u. Suppose 27*f = 2292 - k. Calculate the lowest common multiple of f and 6.
150
Let v = 1504997418351748416829/6248 - 240876668041100631. Let d = v - -571230531. Let n = d + -1/781. What is the common denominator of 1/12 and n?
24
Let w(c) = 14*c**2 - 2*c - 1. Let s be w(-1). Suppose s*h - 19*h = -192. Calculate the smallest common multiple of h and 33.
528
Let a = -132720094/651 + 203871. What is the common denominator of a and -37/6?
1302
Let d = 521569/210300 + -1/8412. Let t = -17329 + 173209/10. Find the common denominator of d and t.
50
Let i = -83054/3 + 27699. Calculate the common denominator of -32/73 and i.
219
Let s = -549 - -562. Suppose s*w - 291 = 73. Calculate the least common multiple of 112 and w.
112
Let q = 16235 - 16183. What is the smallest common multiple of q and 126?
3276
Suppose 16 = p + z, -4*p + z = -9*p + 88. Let y(g) = g**2 + 7*g + 16. Calculate the least common multiple of p and y(-11).
180
What is the common denominator of -137/252 and 3 + (-96)/33 - 5015/44880?
1008
Suppose 476 = 76*z - 74*z. Let r = z - 217. Calculate the smallest common multiple of 14 and r.
42
Suppose -4*d = -5*h - 17 + 161, 3*h + 4*d - 80 = 0. Let l be 1/(-2)*4/1. Let n = l + 18. What is the smallest common multiple of n and h?
112
Let a = -64 - -58. What is the common denominator of -55/12 and 4730/(-300) + a/(-10)?
12
Suppose 0 = 5*d - 52 - 348. What is the least common multiple of 400 and d?
400
Let w = 368297/364608 - 203/211. Find the common denominator of w and 2/9.
1728
Suppose -3*a - 5*g = 45, 1726*a + g + 37 = 1724*a. Let v(u) be the second derivative of -u**3/3 - 12*u**2 - u. What is the lowest common multiple of v(a) and 4?
16
Let v(m) = -13*m**2 - 26*m + 6. Let h = -66 + 40. What is the smallest common multiple of h/(-6) + 2/(-6) and v(-2)?
12
Let b(s) = 15*s**2 + 55*s + 107. Let u be b(-2). Suppose -22 = m + 2*k + 15, 3*k = -6. Let z = u + m. Calculate the least common multiple of z and 12.
24
Let h be 0 + (27130/3444 - 1). Let v = -5/246 + h. Calculate the common denominator of v and 29/50.
350
Let i(n) = -2*n**2 - 29*n + 14. Let u be i(-14). Suppose 2*h = -4*g + u + 4, 2 = -g. What is the smallest common multiple of (0 - -6)*4/((-20)/(-35)) and h?
420
Let j(w) = w**3 - 15*w**2 + 25*w - 1. Let m be j(13). What is the common denominator of 10/12*(-33)/(-20) and 59/m + 10/5?
56
Let a be ((-8)/(-40))/(2/10). Suppose 2*w = -4*c - 58, c - 4*w = -9*w - a. Let j = 5 - c. What is the least common multiple of 30 and j?
210
Let y be (2/4)/(1/62). Suppose -19*a = -373 + y. Let l = 60 + -42. Calculate the least common multiple of l and a.
18
What is the common denominator of 5 - 1020/594 - 80/(-180) and 95/6504?
71544
Let b = -2682 - -3258. Calculate the lowest common multiple of 72 and b.
576
Let i(g) = g**2 - 21*g - 16. Let t be (8/10)/((-9)/(-225)) - -4. What is the least common multiple of 28 and i(t)?
56
Let b = -48027/4 + 11986. What is the common denominator of b and -89/444?
444
Let w = 63575 - 25620685/403. Calculate the common denominator of -51/155 and w.
2015
Suppose 3*o + 7 = 2*m, -5*o + 6 = 5*m + 1. Let i(f) = f - 2. Let k be i(3). Calculate the lowest common multiple of 10 and (m - -5) + -5 + 12*k.
70
Let u = 136 - 125. Calculate the common denominator of (u/33)/((-6)/(-8)) and -45/14.
126
Let q = -1740 + 1782. Calculate the lowest common multiple of 1116 and q.
7812
Let a(t) = -t**2 + 8*t + 7. Let l = 82 - 74. Suppose -l = -j - 0*j. Calculate the least common multiple of a(j) and 6.
42
Let d = -3050204/165 - -18486. Find the common denominator of 121/870 and d.
9570
Let w be (-174)/(-203) + 1/7. Suppose -12*r + 49 = w. Calculate the smallest common multiple of 28 and r.
28
Let t be (9*(-59887)/(-140))/(30/(-340)). Let s = -43633 - t. What is the common denominator of 179/60 and s?
420
Let w be 132/(-4)*3 - 3. Let l be 3 - ((-106)/w)/(6/18). Let u = -201/170 + l. Calculate the common denominator of u and 29/16.
80
Let v(s) = -708*s - 30. Let b be v(4). What is the common denominator of 485/(-6)*(-6 + b/(-480)) and 2/12*(-2343)/44?
32
Let z(g) be the third derivative of g**4/24 + g**3/2 - 8*g**2 + 4. Calculate the smallest common multiple of 12 and z(25).
84
Let r = 16 + -11. Suppose -y = 3*u - 0*y - 58, -74 = -r*u + 4*y. What is the lowest common multiple of u and 12/14*(-868)/(-93)?
72
Let p = 49921/22 - 2268. Calculate the common denominator of p and (-16)/(-12) - 88/(-64).
264
Let q be (2 + (-736)/363)*6/(-5). Let k = -1153/1936 + q. Find the common denominator of k and 45/56.
112
Let g = 12169 + -11181. What is the smallest common multiple of 936 and g?
17784
Suppose 71 = 7*h - 90. Suppose 22*n + 18 = h*n. Calculate the common denominator of -125/6 and (4 - 10055/2250) + 4/n.
150
Let m = 13356 + -12384. What is the lowest common multiple of m and 972?
972
Calculate the common denominator of 294/28 + (-7)/1 - (-2007)/(-918) and 133/30.
510
Let l be 4 + (17673 + -16)/(23268/(-38)). Let a = l - -6/1939. What is the common denominator of a and (89/12 - -1) + 1?
12
Suppose 4*r + 876 = 4*z, 2*z - 5*r = 120 + 306. Let q = -217 + z. Calculate the least common multiple of 36 and q.
36
Let u be (66237/(-5886))/((-168)/18). Let b = -2/763 - u. Calculate the common denominator of b and 152/18 - 4 - 6.
72
What is the common denominator of 247/(-342)*78/98 and -55/48?
2352
Calculate the smallest common multiple of 22 and -5 - (-195890)/40 - (-9)/(-36).
53812
Let d(a) be the second derivative of a**3/6 + 4*a**2 - 22*a + 2. What is the smallest common multiple of d(4) and 88?
264
Calculate the common denominator of 25/2 and (-1785)/9360 - (-1)/(-3).
208
Let z be (102976/(-48))/(1/6). Let n = 707934/55 + z. Find the common denominator of (1/9)/(4/390) and n.
330
Suppose -20*u + 21*u + 10 = 0. Calculate the common denominator of (-5)/u + 111/(-228) and -125/36.
684
Let x be -32*(-3)/(30/185). Let l = -9459/16 + x. Find the common denominator of 43/32 and l.
32
Suppose 8*a = 186 - 66. Calculate the smallest common multiple of a and 690.
690
Suppose -905251 = 388*j - 2199619. Calculate the smallest common multiple of j and 16.
6672
Let y(q) = -65*q + 9614. What is the lowest common multiple of 1134 and y(145)?
1134
Suppose 7241 = 489*f - 400*f - 2015. Let v(h) = 6*h + 17. Calculate the lowest common multiple of f and v(8).
520
Let p = 172 + -128. Let o = -1984 - -1988. What is the lowest common multiple of p and o?
44
Suppose 11*u - 5*u - 36 = 0. Let v = -15 - -19. Suppose -v*x + 8*x = 32. Calculate the smallest common multiple of x and u.
24
Let y be 2 + 1 - (10 - -1112)/11. Let z = -44 - y. Calculate the least common multiple of z and 10.
110
Suppose -3 + 15 = 4*o + f, 3*o - 3*f - 9 = 0. Suppose -2*i - 5*n = -9*n - 28, -o*n = i - 14. Calculate the lowest common multiple of i and 96/10 - 4/(-10).
70
Suppose k + 165 = 6*k - 5*i, 51 = k + 5*i. What is the least common multiple of k and 138?
828
Let z = 21003761/252 + -83348. Let p = -1/28 + z. Let u = -1450 + 15901/11. Calculate the common denominator of u and p.
99
Let j = -338455 - -77170265/228. Let b = -421/19 + j. Calculate the