j) = -j**2 - 6*j - 2. Let f be 20/(-35)*(-14)/4. Suppose 3*d = -4*u - 8, 5*u + f*d + 2 = 3*u. Calculate the least common multiple of 6 and c(u).
6
Let n = 21605 + -648233/30. What is the common denominator of (-11 - -13)*43/(-10) and n?
30
Let u be 4/(57/139*1376/48). Let a = -51/43 - u. Find the common denominator of a and -11/9.
171
What is the least common multiple of ((-59)/((-354)/104))/((-1)/(-24)) and 1184?
15392
Let a = 1440133/245 - 5878. Find the common denominator of -181/210 and a.
1470
Let x(d) = 17*d**3 + d**2 - 52*d - 38. Calculate the lowest common multiple of 14 and x(9).
83776
Let b(l) = l**2 - 58*l + 18. Suppose -313 = 5*a - 1793. Calculate the least common multiple of b(58) and a.
2664
Calculate the common denominator of -19/22 and 45 - 21 - (-47534)/(-1980).
990
Suppose 4*b - 15 = 3*y, -3*b - 5 = -0*y + y. Suppose b = 4*i, -i + 16 = 2*d - 24. Let c = -28 - -48. What is the lowest common multiple of c and d?
20
Suppose -4*u = 3*u - 14. Suppose -f = p - 5*p - 150, p = -u*f - 42. Let o = -30 - p. Calculate the smallest common multiple of o and 18.
72
Suppose -61*w = -66*w + 65. Suppose -8*m + 45 = w. What is the smallest common multiple of m and 362?
724
Let v(h) be the second derivative of -8*h**3/3 + 38*h**2 - 28*h - 2. Calculate the least common multiple of v(4) and 2.
12
Find the common denominator of (83 - 86) + 1/9*(-675)/(-18) and 31/780.
780
Let r(o) = -2*o**3 + 331*o**2 + 184*o - 2968. Suppose 0*y = 5*y - 90. What is the smallest common multiple of r(166) and y?
180
Let d = -19711/10 - -3921/2. Calculate the common denominator of d and 27/290.
290
Let t = 16273/10 - 1628. Let v = 2307460/123 - 18760. What is the common denominator of v and t?
1230
Calculate the common denominator of 168/(-10) - (-3)/(-15) and 1 - 21 - (-18639257)/933325.
925
Let t = 129 - -180. What is the common denominator of (-5)/(15/(-9)) - t/85 and -7/4?
340
Let p(c) = c**3 + 24*c**2 - 55*c - 68. What is the smallest common multiple of p(-26) and 2387?
23870
Let j be -1*2/(2 + (-168)/83). Suppose j - 11 = 8*i. Let y = -4 + 12. What is the smallest common multiple of i and y?
72
Let b = 433043/4 + -107736. Let s = 520 - b. Find the common denominator of -11/24 and s.
24
Suppose -5*v - 22 = 5*i + 38, v + 2*i + 17 = 0. Let p(s) = -2*s**2 - 13*s + 9. Calculate the least common multiple of 16 and p(v).
16
Let v = 15/3368 + 5755/7578. Find the common denominator of -71/72 and v.
72
Let a(t) = -6*t**2 - t + 32. Let y be a(7). Let k = y + 13161/49. What is the common denominator of 97/10 and k?
490
Let o = -161766 + 30735441/190. Calculate the common denominator of 11/665 and o.
1330
Suppose -i + 2*a = 6*a - 24, -3*i + 5*a = -140. What is the smallest common multiple of (17 - -1)/(27/108) and i?
360
Let q(x) = -49*x**2 - 2. Let f be q(-4). What is the common denominator of -93/8 and 2 + (0 - 3) - f/360?
120
Let b be (12 - 0)/(6/20). Let q = b - 16. Suppose -264 + 3 - 189 = -15*z. What is the smallest common multiple of z and q?
120
Suppose -4795*y = -4813*y + 324. Calculate the smallest common multiple of 2612 and y.
23508
Let r = -82 - -102. Suppose 44 = -r*m + 9*m. Calculate the common denominator of (-35)/(-6) - (-8)/m and 17/2.
6
Suppose -163*i + 159*i = -48. Let m be (465/(-10))/(1/(-2)). Suppose -6 = 2*p, -3*c = -3*p - 2*p - m. Calculate the smallest common multiple of c and i.
156
Let b be ((-3)/9)/((-5)/30). Let x be b/10 - 102/(-15). Suppose -7 + 28 = x*i. Calculate the lowest common multiple of 15 and i.
15
Let a = 3/52466 + -499531/19307488. Calculate the common denominator of a and -31/4048.
8096
Let d = -3320 - -13313/4. Calculate the common denominator of d and 113/66.
132
Suppose -3*z = -7*z + 20. Let k(b) = -b**3 - 142*b**2 + 600*b + 2383. Calculate the lowest common multiple of k(-146) and z.
235
Let x = 1189653/40 - 29743. Let d = -56444 + 5079973/90. Find the common denominator of d and x.
360
Let t = 11/898 - 46795/8082. Let y be (-146727)/(-10) + 10/(-15). Let b = y - 14674. Calculate the common denominator of b and t.
90
Let u(c) = 29*c - 431. Calculate the smallest common multiple of 21 and u(53).
3318
Let u(o) = -o**2 - 4*o + 74. Let p be u(-10). Find the common denominator of 460/(-598)*p/12 and 46/33.
429
Suppose 35 = 5*l + v, -3*v = 2*l - l - 7. Let p(g) = 6*g + 17. Let r be p(l). What is the common denominator of -1 + r/105 + (-10)/75 and 109/14?
14
Let y = -4422 - -5592. What is the least common multiple of y and 468?
2340
Let c be -7 + (-2 - (-224685)/216). Let k = -1034 + c. Find the common denominator of -17/330 and k.
1320
Let c(l) = -l**2 + 20*l + 2820. Let d = 11 - 6. Suppose -88 = -d*m - 8. What is the least common multiple of c(64) and m?
16
Let q(a) = a**3 - 20*a + 1162. Let m be q(0). Suppose 51*n - 2306 = m. Calculate the least common multiple of n and 14.
476
Let h = 79/109 - -10715/1308. Suppose 2*g + 149 = -3*i + 29, 3*g = 3*i + 105. Find the common denominator of i/(-3)*66/352 and h.
24
Let o be -27 - -24 - -3*1. What is the common denominator of (86/(-32) + o)/((-2)/8) and -21/20?
20
Suppose 3*d - 310 = -5*z, 0 = 2*d + 3*z - 0*z - 207. What is the smallest common multiple of d and 300?
2100
Calculate the common denominator of 5/839 and (-20210)/(-1128)*(-3)/10.
6712
Suppose 7120 = 7*n - 9*n. Calculate the common denominator of 6/16*n/(-90) and -7/22.
66
What is the common denominator of ((-578)/(-112) - 2)*854/(-1281) and 55/476?
476
Let p = 1505 - 6103/4. Let b be (3/154)/((-14568)/1733768). Let n = -1/4249 - b. What is the common denominator of n and p?
44
Let q = -22 - -18. Let g(j) = -j**3 + 9*j**2 + 13*j + 8. Let f be g(12). Find the common denominator of ((-5)/(-40))/(q/f) and -35/6.
24
Let x(t) = 3*t**2 + 2*t - 2. Let l be 20/15*(-27)/(-12). Suppose 0 = i - l + 5. Calculate the smallest common multiple of x(i) and 18.
18
Suppose -270 = -26*s - 4*s. Suppose b + 4*j - 1 = 5*j, -b = -3*j + s. What is the least common multiple of b and 177?
354
Let l(y) = 2*y**2 - 13*y + 14. Let d be l(5). Calculate the common denominator of 65/18 and (606/36 + -4)/d.
18
Let m be (-38)/6 - 2/(-6). What is the smallest common multiple of 66 and -6 - (-49 + -7 - m)?
132
Let a be ((-406)/350)/((-4)/930). Let c = a + -269. Let l = -1136 + 9105/8. Find the common denominator of c and l.
40
Let f = -752256538987/5706 - -131836057. Let o = -2/317 + f. Calculate the common denominator of -103/144 and o.
144
Let l be -2*(21/(-6) + 1). Suppose l*k = -0*k + 10. Suppose 252 = -6*i + 27*i. What is the smallest common multiple of k and i?
12
Let i = 3238 - 1366. Calculate the smallest common multiple of 360 and i.
9360
Let g = -129 - -141. Let k(u) = u**3 - 13*u**2 + 13*u + 10. What is the lowest common multiple of k(g) and 152?
1672
Let x(i) = -i**3 - 29*i**2 + 6*i - 3. Let h be x(-36). Let y = 283319/32 - h. Let c = 13503/4 + -3399. Calculate the common denominator of c and y.
32
Let r be ((-22941)/120)/(44/1584). Let m = -2927 + 9818. Let x = r + m. Calculate the common denominator of x and 103/10.
10
Let n(w) = 5*w**2 + 162*w + 477. What is the least common multiple of n(-3) and 60?
180
Suppose -3*c = -0 - 75. Suppose -3*i + c = v + v, i = -4*v + 75. Let z = 193 - 23. What is the least common multiple of v and z?
340
Let a be (0 - 18660/25) + (-3)/5. Calculate the common denominator of 79/4 and 4/(-6)*a*(-10)/480.
8
Let b = -8560 - -8632. What is the lowest common multiple of b and 252?
504
What is the common denominator of (-451)/(-220)*(-70)/1218 and 59/42?
2436
Let c(j) = -14*j - 52. Let h = -416 + 411. What is the least common multiple of c(h) and 9?
18
Let p(o) = 8*o + 10. Suppose 278*t - 360 = 536*t - 278*t. What is the smallest common multiple of p(7) and t?
198
Let a be (70/20 + -6)*(-73 - 1). Let y = a + -171. What is the smallest common multiple of 10 and y?
70
Find the common denominator of -69/220 and ((-12)/488)/(451/10578) + (-1)/(-2).
13420
Let j = -231 + 186. Calculate the common denominator of (-84)/(-105) + (-1 - (-296)/j) and -101/56.
504
Let r(b) = 3*b**3 - 4*b**2 + 11*b - 18. Let s be r(2). Let k = 16 + -12. Suppose -k + s = 4*v. What is the smallest common multiple of 114 and v?
114
Suppose h = -3*h + 8. Suppose -18 = -h*f - f. Let b(a) = -a**3 + 149*a - 665. What is the lowest common multiple of b(6) and 