f -1*c/6*(-448)/480 and 87/50.
450
Suppose 0*l = -2*l + 40. Let h = -285 - -569. Let b = h + -280. What is the lowest common multiple of l and b?
20
Let d be 240/(-53) + (-33 + 9)/(-4). Let s = d + -129/1060. Calculate the common denominator of 74/(-108) + -1 + -1 and s.
540
Let p(n) = -3*n**2 - 1 - 26*n**3 + n + 1 + 21*n**3. Calculate the common denominator of p(2) and ((-5176)/868 - -5) + (-6)/(-21).
31
Let g(q) = q**2 - 3*q**3 + 2*q**3 - q**2 - 11 + 16*q**2 - 12*q**2 + 4*q. Calculate the smallest common multiple of g(3) and 58.
290
Let a = -1679701/90 - -18663. Find the common denominator of a and 191/2070.
2070
Suppose 0 = -16*t + 15*t. Suppose t = -33*r + 25*r + 112. What is the smallest common multiple of 14 and r?
14
Let a = -2339763 + 4885425031/2088. What is the common denominator of a and 37/2088?
2088
Suppose 40*r = -1393 + 7633. Calculate the least common multiple of 468 and r.
468
Let p be (-4)/6*48/(-32). Let u be ((-8)/(-12))/(p/(-18)). What is the common denominator of 85/8 and u/126 + 276/(-189)?
72
Let t = 2168191090762 - 58519477513742481/26990. Let k = -2/13495 + t. Let q = 986 - k. What is the common denominator of q and 49/24?
24
Let p(k) = 3*k + 7*k**2 + 7 + 2*k**3 - 6 - k**3 + 0*k. Let g(a) = -a**2 - a. Let c(y) = -4*g(y) - p(y). Calculate the least common multiple of c(-4) and 12.
132
Let p = -21261756 - -4975202587/234. Let d = p + 2750/13. Calculate the common denominator of d and ((-2160)/(-32))/45 - 82/50.
450
Let g = -1/69601 + 8421731/696010. Calculate the common denominator of ((-6)/2)/(-29 + 1) and g.
140
Let h be -2 + 42431/240 + (-2)/6. Let j = -29657/5 - -5756. Let s = j + h. What is the common denominator of -5/4 and s?
16
Let o = 2 - 49. Let r = 49 + o. Suppose -3*j + 50 = -3*l - r*l, 79 = 5*j - 4*l. What is the lowest common multiple of 12 and j?
60
Let u = 16 - 15. Find the common denominator of -14 and u - (-188)/(-32) - -3.
8
Let r be 2/9*3*18. Suppose -d = -1 - r. Find the common denominator of 2/d - 4659/(-390) and -20/3.
30
Let c(u) = -15*u**2 + 262*u - 101. Calculate the lowest common multiple of 4/(-10) - 244/(-10) and c(17).
72
Let z be (-120)/(-72) - (-4516)/12. Find the common denominator of 5 + z/132 + -7 and 15/2.
22
Let o = 380451/50 + -7611. Let q = 24524 - 196131/8. Find the common denominator of q and o.
200
What is the common denominator of (6 + (-16194)/2808)/((-3)/(-6)) and 77/228?
8892
Let u(i) = 2*i**3 + 15*i**2 + 4*i + 71. What is the smallest common multiple of 90 and u(-7)?
4140
Let u(r) = r**3 + 21*r**2 + 11*r - 12. Let d be u(-20). Suppose 0 = 6*m + m - d. What is the least common multiple of 33 and m?
264
Let f = 4203 - 3405. Calculate the lowest common multiple of 147 and f.
5586
Let d(w) = 49*w - 4928. Calculate the smallest common multiple of 266 and d(114).
12502
Let w = -823 + 65839/80. Let u = -1019/2790 + -2/1395. What is the common denominator of u and w?
240
Suppose h = 11 - 4. What is the common denominator of h/42 + 2*142/(-30) and -119/20?
20
Suppose 35*r + 21*r - 861 = -77. What is the common denominator of 115/418 and r?
418
Let c = -5 - -19. What is the smallest common multiple of c and ((-25)/(-35) + -7)*35/(-10)?
154
Let v = 23564 + -23487. Let f(s) = s**2 + 6*s + 4. What is the lowest common multiple of f(-6) and v?
308
Let f = -5584 + 111629/20. Let c be 23442/12*(2 + (-3 - -3)). Let v = c + -39121/10. Calculate the common denominator of f and v.
20
Suppose 184 = -14*p + 37*p. Let k(g) = -g**2 + 2*g + 64. Calculate the lowest common multiple of k(p) and 16.
16
Let n(l) = -l**3 + 39*l**2 - 203*l - 104. Calculate the lowest common multiple of n(32) and 16.
1136
Let h(f) = 1 - f**3 + 2 - 6 + 2*f**2 + 3*f. Calculate the least common multiple of -3 + (-83)/(-3) + 8/(-12) and h(2).
24
Let b = 331 + -327. Suppose 0 = -5*i - 3*o + 45, -i - 2*i + b*o = -56. Calculate the smallest common multiple of i and 6.
12
What is the common denominator of -33/238 and ((-11)/12 + 0)/(11 + 380/(-36))?
1904
Let b = 1414864732 - 169785518849/120. Let t = -14591 - b. What is the common denominator of t and 95/84?
840
Let o = -8057 - -1901. Calculate the common denominator of 19/21 and (1/(-5) + 0)/(o/20790).
798
Suppose -u + 215 = 5*s + 10, 2*u - s - 355 = 0. What is the smallest common multiple of 20 and u?
180
Let z = 62347 + -13467089/216. What is the common denominator of 53/213 and z?
15336
Let u be (3 - -4083368)*(-11)/902. Let l = u + 49798. Calculate the common denominator of 19/22 and l.
902
Suppose -4*d = 2*t + 20, -t - 26 = -2*d - 0*d. Let c(b) = -b**3 - 17*b**2 + 13*b - 74. What is the lowest common multiple of 84 and c(t)?
336
Let d(z) = 253*z - 35. Let y(p) = 760*p - 104. Let h(m) = 8*d(m) - 3*y(m). Let v be h(-15). Let w = v + -185849/48. Find the common denominator of -61/4 and w.
48
Let j(s) = 51*s - 216. What is the smallest common multiple of j(5) and 8?
312
Let n(u) be the second derivative of u**5/20 - 3*u**4/4 + 8*u**3/3 - 31*u**2 + 9*u - 3. Calculate the least common multiple of n(8) and 4.
4
Let k = -1223983/74 + 16539. Find the common denominator of k and -113/896.
33152
Let g = 4592 + -4392. Calculate the smallest common multiple of 24 and g.
600
Suppose 10*u - 9*u - 5*l = -906, -l - 3687 = 4*u. Find the common denominator of -31/6 and 36/(-12) + u/(-252).
84
What is the common denominator of 89/8 and (-10 - (-168)/16)*-3 + 1888/1350?
5400
Let t be (-87905)/24425 + 4 - 4/10. Let n = 10707/39080 + t. Calculate the common denominator of n and -41/25.
200
Let z = -21350 + 21650. What is the least common multiple of 300 and z?
300
Let o(y) = -10*y**3 - y**2 - 2*y - 6. Let h be o(-2). Let x = 81 - h. Calculate the least common multiple of x and 17.
119
Let p(j) = 6*j**2 - 16*j + 26. Let k be p(5). What is the common denominator of ((-5)/48)/((-2)/(-102)) and -10*((-9)/27 + 23/k)?
16
Suppose 6*n + 11 = -49. Let x(z) = -8*z - 37. Let p(j) = -16*j - 72. Let k(u) = -2*p(u) + 5*x(u). What is the lowest common multiple of k(n) and 7?
273
Let s(p) = -13*p + 64. Let g be s(21). Let n = g - -99. Calculate the common denominator of -53/12 and 9/15 - 0 - (-156)/n.
132
Let v = -5811 - -87122/15. Calculate the common denominator of v and -81/200.
600
Suppose 5*y + 937268 = -372012. Let m = y + 16492253/63. Let l = 661/9 + m. What is the common denominator of -4/27 and l?
189
Let x = 2939 - 2925. Calculate the least common multiple of 188 and x.
1316
Suppose -3*p = -p + 4*i + 10, 3*p + 11 = -5*i. Suppose -k + 1256 = h + 2*k, -3*h = -p*k - 3720. Let g = -10013/8 + h. Find the common denominator of 52/9 and g.
72
Let z(l) = -6*l - 10. Let q be z(-7). Suppose -8*v + 3*v + 2*f = q, f = -2*v - 20. What is the common denominator of (-4)/v*-11*1 and -7/36?
36
Let y(a) = a**3 - 10*a**2 + 2*a + 18. Let b be y(8). Calculate the common denominator of (-118)/(-36)*b/(-376) and -53/64.
576
Calculate the lowest common multiple of (26/1)/((-90)/(-6255)) + -1*1 and 1548.
10836
What is the common denominator of 7 + -11 + 16 + 2463/(-204) and -45/884?
884
Let r = -1666 + 1682. Calculate the lowest common multiple of 122 and r.
976
Let l = -1097315/62 - -17699. Find the common denominator of 117/80 and l.
2480
Suppose 4*r = -4, v + 2*r - 4 - 2 = 0. Let f(d) = -d + 4. Let i be f(v). What is the smallest common multiple of 4 and 22*((-36)/(-8) + i)?
44
Let a(c) = -2*c + 53. Suppose -x = -5*q + 269, -2*x - q = -x + 275. Let b be 6/(-51) + x/(-17). Calculate the lowest common multiple of a(b) and 45.
315
Let v be (1*-2)/6 - (-59177525)/81836931. Let x = -1/319988 - v. What is the common denominator of x and 4/21?
2604
Let t be (-2)/(-12) + 369/54. Suppose -x = -t*s + 4*s + 17, -s = 4*x + 55. Find the common denominator of x and 35/54.
54
Suppose 18*q = -0*q + 72. Suppose -q*s - 328 = -4*l, s - 440 = -7*l + 2*l. Calculate the lowest common multiple of 3 and l.
87
Suppose 3744 = 13*o + 10*o - 10*o. What is the least common multiple of o and 810?
12960
Let f = 169 - 145. What is the smallest common multiple of f and 72?
72
Let a = -4/5593 - 407409/1230460. Find the common denominator of -83/40 and a.
440
Let x(d) = 5*d + 9. What is the smallest common multiple of x(11) and 44?
704
Let c(j) = 3*j. Let t = 105 - 99. Let k(y) = y**3 - 8*y**2 + 15*y - 12. Calculate the smallest common multiple of k(t) 