+ 7*w**2 + 14*w + 18. Let p be y(-5). Let m = -4045 + 48569/12. What is the common denominator of m and 1333*p/396 - 12/22?
36
Suppose -k = -3*n + 3328, -5*k + 3286 = -3944*n + 3947*n. What is the lowest common multiple of 297 and n?
12177
Calculate the common denominator of -49/6 and 107/(-12) + (30/(-225))/((-3)/15).
12
Let y be (-4)/((-120448)/(-132385756384982)) - -1. Let x = 4396445155 + y. Let i = -3/1882 + x. Calculate the common denominator of i and -25/12.
48
Let y = -4170 - -4515. What is the smallest common multiple of y and 230?
690
Suppose 5*s + 5 = 0, q - s - 2641 = -q. Calculate the lowest common multiple of 18 and q.
3960
Find the common denominator of 1/(((-18360)/(-768))/9) and 117/110.
1870
Let a = -24/137 - 3287/5480. Calculate the common denominator of a and -57/20.
40
Let c be 5/(20/(-44))*24/(-4). Let u = c - 65. Find the common denominator of (-1)/4*u + 435/36 and 109/66.
66
Suppose 3*r = 5*i - 0*r - 3207, 0 = -5*i - r + 3191. Let t = 2147 - i. Find the common denominator of 87/2 and 2130/t + (-28)/13 + 2.
58
Let r be 4/1 - ((-2 - 1) + 23). Let p be (4/(r/2))/((-1)/(-68)). What is the common denominator of p/(-50)*5/(-2) and 19/6?
30
Suppose 15*w - 58825 = -50*w. What is the smallest common multiple of 50 and w?
9050
Let f = -6/8327 + 741427/449658. Calculate the common denominator of f and (-29 + 30)/((-36)/(-77)).
108
What is the smallest common multiple of 57 and 19555/7 + 9/63*-4?
2793
Calculate the common denominator of -61/26 and ((-1170)/936 + 1/4)/(113/(-11)).
2938
Let w = -44277/1065506 - -101/2298. Find the common denominator of w and 24.
4173
Let l = -307 - -315. Suppose -2*v - g - 4 = -0*g, 8 = -2*g. Let z = l - v. Calculate the lowest common multiple of z and 13.
104
Let k(m) = m**2 - m - 17. Let c be k(5). Let p = 41 - 20. What is the lowest common multiple of (52/c - 1) + (-7)/p and 12?
48
Calculate the lowest common multiple of 2723/(-161) - -17 - 1652/(-46) and 88.
792
What is the smallest common multiple of 50 and (-60)/(-24)*(30 + -2)?
350
Let u = -106 + 61. Let g = u + 47. Let o = 35 - 11. What is the smallest common multiple of g and o?
24
Suppose -86 = 8*u + 650. Let c = -80 - u. Suppose 0 = -d + 5*y + c, d - 3*y - 12 = y. Calculate the least common multiple of d and 40.
120
Let m(g) = -g. Let h(j) = -11. Let y(v) = 10. Let a(s) = 6*h(s) + 5*y(s). Let x(b) = a(b) + 8*m(b). Calculate the smallest common multiple of 3 and x(-6).
96
Let u = 7080187/243096 - 2/30387. Let o = u + -1585/56. Let q = 1323/44 + -284/11. Calculate the common denominator of q and o.
28
Let w = 297 + -302. Calculate the common denominator of ((-1)/114)/((-9)/4518) + w and 7/33.
627
Let v(k) = 15*k - 21. Let b(a) = a - 2. Let t(c) = -3*b(c) + v(c). Let j be t(4). What is the common denominator of 9/148 and (-2)/16*2*(-913)/j?
444
Suppose -2*x = 2*l - 44, 85 = 4*x + 4*l + l. What is the common denominator of x and 5/(-24)*(-138976)/(-30960)?
108
Let s = 1552 + -1542. Let j(g) = -g**3 + 11*g**2 - 7*g + 5. Calculate the least common multiple of j(10) and s.
70
Let x(r) = -r + 7. Let w be x(4). Let n(f) = 16 - w*f + 5*f**3 - 6*f**3 + 12*f**2 + 10*f + 6*f. What is the least common multiple of 10 and n(13)?
80
Let k = -1721744 - -4562621521/2650. What is the common denominator of k and -17/8?
10600
Let z = -965/36 - -176/9. Let u = -45/127277 + 1597212663/38437654. Let q = u - 8/151. What is the common denominator of z and q?
4
What is the common denominator of ((-533825)/4500)/163 - ((-12)/10 - -1) and -47/148?
1332
Let l(j) = j**3 + 10*j**2 + 9*j + 22. Suppose -28 = v - 19. What is the smallest common multiple of l(v) and 8?
88
Let h(g) = -2*g**3 + 21*g**2 - 10*g - 4. Let r be h(10). Calculate the common denominator of r - (1 - 1072/180) and 59/99.
495
Calculate the common denominator of 456/(-63) + (3 - (5 + -7)) and -77/18.
126
Let j = 44 - 27. Suppose -j*t + 14*t = -78. Suppose -2*w = 4*f - f - 58, w + t = f. What is the least common multiple of f and 18?
198
Let v = 7651/1476 - 200/41. Calculate the common denominator of v and -76/435.
5220
Let x = 2/4701 - 52757/3134. Let y be 16*(0 + -2)*18. What is the common denominator of x and (-8940)/y*(-2)/5?
24
Suppose 69*p - 69179 = 12586. What is the smallest common multiple of 474 and p?
2370
Suppose 96 = 2*g - 4*r, -168 = -5*g - 23*r + 21*r. What is the smallest common multiple of g and 492?
1476
Let v(c) = -c**3 - 7*c**2 - 9*c - 7. Let t = 60644 - 60641. What is the lowest common multiple of t and v(-6)?
33
Let k = 8/1971 + 159491/39420. Suppose -i + 30 = 2*i. Find the common denominator of k and 0 + 0 + (-17)/i.
20
Let h = 385770 + -678955231/1760. What is the common denominator of h and -82/495?
15840
Calculate the common denominator of -13 - (-548)/28 - 1 and -52/59.
413
Suppose -11*o - 2*o = 0. Let m(u) = -u**3 + u**2 + 2*u + 22. Calculate the lowest common multiple of 8 and m(o).
88
Suppose 10*n = 13*n - 18. Suppose 4*w - 13 = -v + 16, 3*w = n. Calculate the lowest common multiple of v and 77.
231
Let w = 2881 + -2877. What is the smallest common multiple of 980 and w?
980
Let c(u) = -u**2 - 5*u + 59. Let y be c(-10). Find the common denominator of (-10)/(-8 + -2) + (-85)/y and -64/75.
225
Let t = -1/146 + 7977/2920. What is the common denominator of t and 103/44?
440
Suppose l + 5*h - 3503 = -3426, -3*l + 112 = -2*h. Suppose 3*d = -4*q + 113 + 118, d - 77 = 3*q. What is the smallest common multiple of l and d?
462
Calculate the common denominator of (-5)/54*63/30*(-2 - 18) and 51/(-98) - 2/(-4).
441
Suppose 2*z = 5*b - 38, -6*b + b + 66 = -4*z. Let c = -2 - -11. What is the lowest common multiple of c and (-18)/63 - 18/z?
9
What is the smallest common multiple of 24 and -5 + -2 + 8 + (10 - 10)?
24
Suppose -3*a + 23 + 34 = 3*c, -5*c - 2*a = -98. Suppose 4*h = -5*s - 26, -5*h - 3*s = -10*h + 23. What is the least common multiple of c and h?
20
Let o be (-240)/(4 + 2 + 80/(-14)). Find the common denominator of 90/o*(1 + 1) and -59/6.
42
Suppose 0 = -98*f + 93*f + 30125. Let x = f - 325429/54. Find the common denominator of x and 37/24.
216
Suppose -757 = 12*a + 791. Let s = -123 - a. What is the least common multiple of s and 30?
30
Calculate the common denominator of (8 - -3)/(204/(-374)) and -41/774.
774
Suppose 165 = 20*w - 24*w + 5*f, 115 = -4*w - 5*f. What is the common denominator of ((-5)/2)/(15/w) and -79/21?
42
Suppose 3*d + 4*b = 77, -d - 4*b + 7*b = -4. Let p be 30/(-4)*(d + -21). Suppose 5*r = p + 35. Calculate the lowest common multiple of r and 12.
60
Suppose -n + 48 = -3*k, 534*n = 536*n - 5*k - 93. Calculate the least common multiple of 3117 and n.
40521
Let m(q) = -33*q - 87. Let c be m(-13). Calculate the common denominator of 53/22 and (-7)/((-21)/c)*3/(-492).
902
Let t = 10904/1109 + -189588964/19275529. What is the common denominator of t and 25/7?
17381
Let t(f) = 2*f**3 - f**2 - 1. Let j be t(1). Suppose l - 5*p - 206 = -j*l, -p + 554 = 3*l. What is the smallest common multiple of l and 24?
744
Suppose -34 = -5*k + 26. Let c = 8 - k. What is the common denominator of 179/(-6) - (c - 33/(-9)) and 11/3?
6
Let f be (-18)/(-4) + (-24)/48. Suppose -17 = -x - r, -f*x = -6*x + 2*r + 22. Calculate the smallest common multiple of 36 and x.
252
Let w be (-3)/2*(-2)/3. Suppose -w = j - 7. Suppose 5*s + d + 37 = 129, 2*d = -4*s + 76. Calculate the lowest common multiple of s and j.
18
Let g = 7844 + -7840. Calculate the smallest common multiple of g and 10.
20
Let n(v) = 3*v + 30. Let p(y) = -2*y - 3. Let x be p(2). Let l(k) = -k - 15. Let s be l(x). What is the lowest common multiple of n(s) and 21?
42
Let v(n) = 30 + 2881*n - 2890*n + 17. Calculate the smallest common multiple of 56 and v(5).
56
Suppose d + 91 = 5*w, -2*d - 4*w - 368 = d. Let z be (-4)/((12/(-36))/((-8)/(-3))). What is the common denominator of -29/20 and ((-1)/(-4))/((-1)/(d/z))?
160
Suppose -4*i = 2*t + 40, 4*t - 3*i = 2*t - 54. Let f = t - -60. Find the common denominator of 33/19 and -2 - (-100)/f*(9 + -3).
57
Let h = -9087412/9 + 1011122. Let z = 1407 - h. Calculate the common denominator of (13/(2652/(-864)))/((-2)/1) and z.
153
Let w = -4504/3 - -252253/168. Calculate the common denominator of 13/44 and w.
1848
Let x be ((-3)/195)/(1/456221). Let a = -23895832/1755 - x. Let i = a + 6599