Suppose 9*l - l = -9*l. Suppose l = 13*f - 12*f - 6. Calculate the smallest common multiple of f and 230.
690
What is the common denominator of 6/4 - ((-624)/24 - (-3689)/126) and 258/(-40) - -1*1?
180
Let s = 1367893/108 + -25333/2. Calculate the common denominator of s and -133/384.
3456
Let r(q) = -88*q + 1963. Calculate the lowest common multiple of r(22) and 2007.
6021
Suppose -24*i = -1839 + 687. What is the lowest common multiple of i and 136?
816
Find the common denominator of ((-2)/64)/(2 + 11533/(-5852)) and -187/420.
2520
Let c = 19005 + -18916. Calculate the lowest common multiple of 5 and c.
445
Suppose 4*o - 1 - 49 = t, -8 = -2*o. Suppose -u - 4*u - 100 = 0. Let c = u - t. Calculate the lowest common multiple of 2 and c.
14
Let v be (-6 + 10)/(-4) - (1 - 9). Suppose 0 = 2*y - 3 - v. Calculate the smallest common multiple of y and 1265.
1265
Let g(l) = -10*l - 1. Let p be g(-2). Let x = 1921 + -1912. Suppose -v = x - p. Calculate the least common multiple of 18 and v.
90
Let b = -118/303 + 18436/67569. Let w = b + 15491/892. Find the common denominator of w and -21/20.
20
Let z = -12 + 15. Suppose 0*x + 18 = z*x. Suppose -r + 2*c + 21 = 0, 151*c = 4*r + 147*c - 96. What is the smallest common multiple of x and r?
54
Let u = -20594 - -20655. Calculate the lowest common multiple of u and 6/5*(-60)/(-8).
549
Let m(n) = n**3 + 3*n**2 - 12*n - 71. Let p be m(-10). Find the common denominator of (p/2079)/(4/18*-3) and -145/12.
132
Suppose 18*r + 160 + 197 = 35*r. Calculate the least common multiple of r and 2982.
2982
Calculate the common denominator of -62/969 and -28*1460/480*2/266.
1938
Let n = -23/3267597 + -773870442907/84957522. Let a = 9108 + n. Find the common denominator of -101/12 and a.
156
Suppose 250 = -a - 2*c, 0 = 7*a - 3*a - 4*c + 1060. Let t = 265 + a. Calculate the lowest common multiple of 22/6 + (-1)/(-3) and t.
20
Let i be 2 + 42 + (-1 - -1). Let n be ((-10832)/(-165) + (-8)/i)*40. Let f = 2641 - n. Find the common denominator of f and -1/6.
6
Let t = 3/5 - 7/20. Calculate the common denominator of 1/12 - (10 - 173/15) and t.
60
Let q = 53196 + -26065943/490. What is the common denominator of -62/3 and q?
1470
Let u = 118 + 1. Let d = -99 + u. Suppose -w = -2*a + 5, -2*w - d = -2*a - 6*w. Calculate the smallest common multiple of a and 40.
40
Suppose 2*f - 4030 = 2*x, 9*f = 4*f - x + 10093. What is the lowest common multiple of f and 8?
8072
Let r(p) = 18*p + 150. What is the least common multiple of 228 and r(7)?
5244
Let z = -997632 + 1676021947/1680. Find the common denominator of 33/8 and z.
1680
Let t = -881699/11 + 160673/2. Suppose 0 = 4*b + 3*z - 709, -2*b + b + 179 = -z. Let o = b - t. Find the common denominator of o and 61/36.
396
Let p = 3785 + -3765. What is the least common multiple of 40 and p?
40
Let x = -844327/3060 - -4480/17. Let n = x + 112/9. What is the common denominator of n and -27/10?
20
Let b = 19 + -11. Suppose 0 = b*l + 1 - 217. Suppose -2*j = -76 + 16. What is the least common multiple of j and l?
270
What is the common denominator of ((-693)/(-22) - 34)/((9677/(-12))/1) and -43/6?
58062
Suppose -5*g = 6*c - 10*c - 16, 3*g = -2*c + 14. What is the common denominator of 26/72 + -1 - c and -125/48?
144
What is the smallest common multiple of 605 and ((-432)/324)/(((-16)/(-66))/(-2))?
605
Suppose 85*d = -56*d + 13818. Calculate the least common multiple of 245 and d.
490
Let h be 2/(-10) - 5824/2405. Let y = -4133/518 - h. What is the common denominator of (-58)/(-20)*2/24*6 and y?
140
Let f = -13 - -17. Suppose -3*t = -19*t - 32. What is the smallest common multiple of (-525)/(-6) + 1/t and f?
348
Let m = 8891191/88374 + -3320/33. What is the common denominator of -67/5356 and m?
5356
Suppose 3*m = 2*w + 23, 10 = 5*m + 5*w - 45. Calculate the smallest common multiple of 14 and (-3)/(-9)*38*(m - -24).
2926
Let r(g) = -3*g**2 - 116*g + 59. What is the least common multiple of 135 and r(-39)?
540
Let q(l) = 12*l**2 + 4*l - 21. Calculate the least common multiple of 75 and q(3).
2475
Let f = -590 + 606. Find the common denominator of (27/(-2940))/((-12)/f) and -38/5.
245
Suppose -2*n = 4 - 10. What is the common denominator of 291/(-30) - -3 - (6 + -2 - 6) and n?
10
Let c be (65/90)/13*-5. Let d = c + 11/72. Calculate the common denominator of d and -143/300.
600
Let w be 73355/19 - (3 - (8 - 5)). Let q = -3858 + w. Calculate the common denominator of 79/57 and q.
57
Let c = -82 - -83. What is the common denominator of 122/6*(-3)/50 and c - (455/98)/(-5)?
350
Calculate the common denominator of 101/968 and (4 - 78/(-3))/(140/30).
6776
Calculate the least common multiple of 1*((-3855)/(-6) + (-270)/60) and 242.
7018
Let j be -5 - (4/10 + (-3162)/255). Suppose j*w + 8 = 8*w. Let l(r) = r**3 - r**2 - 2. What is the smallest common multiple of l(3) and w?
16
Let w(d) = -d**3 + 20*d**2 - 78*d - 3. What is the least common multiple of 55 and w(6)?
165
Let f(h) = 2*h**2 + 6*h + 15. Suppose -5*r = -35*r + 150. What is the least common multiple of 90 and f(r)?
1710
Suppose 2*b - 28 = 9*b. What is the common denominator of 627/(-525) - 14/49 and (146/(-8))/(3/b)?
75
What is the least common multiple of 1028 and (-56)/(-6) - (-1270)/(-381)?
3084
Let d = 90474 - 167919751/1856. Find the common denominator of d and 49/160.
9280
Let m = -786481/95652 + 1/10628. Find the common denominator of -71/45 and m.
45
Let c = 34788 + -99284953/2854. Let u = c - 156961/25686. Find the common denominator of (-492)/48 - -11 - 67/12 and u.
18
Suppose 8*t - 6*t - 368 = 0. Let i = 204 - t. Calculate the least common multiple of 430 and i.
860
Suppose 25942 + 63378 = 220*i. What is the least common multiple of 5046 and i?
35322
Let j(v) = 18*v**2 + 2*v + 1. Let q = -55 - -54. Let c be j(q). What is the common denominator of 4 - 2 - c/8 and -37/186?
744
Let y = -20789 - -789893/38. Calculate the common denominator of y and 151/36.
684
Let h be ((-4 - -2) + 11)*952/(-70). Let u = -3307/30 - h. What is the common denominator of (-1)/((-2 - -1)/(-30)) and u?
6
Let l = -9 + 23. Let p = -2163 - -2177. What is the least common multiple of p and l?
14
Let t be (6 - 3)*1 - 0/2. Let v be -145*(-1)/(18/t). Let h = v + -26. Find the common denominator of h and 28/3.
6
What is the least common multiple of 22 and ((-5460)/(-63))/(-13)*-246?
18040
Let p be 41967/(-918) + 10/55 + 168/44. Let h = -139729/51 - -2740. Let c = p + h. Calculate the common denominator of 109/6 and c.
6
Let x(g) = g**3 + 4*g**2 - 4*g - 1. Let r be x(-5). Suppose -168 = 47*j - 54*j. What is the lowest common multiple of (-16)/r*(-9)/(-2) and j?
24
Let r(l) = -21 + 10*l**2 - 1041*l**3 - 6*l + 1 + 15*l + 1042*l**3. Calculate the smallest common multiple of 30 and r(-8).
180
Let x = 2/25941 - -605288/25941. Calculate the common denominator of -53/23 and x.
69
Let j be 6*6/18*16085/(-16). Let c = j - -2006. Calculate the common denominator of 3/(-4) - (-1525)/60 and c.
24
Let y = 115 - 112. Let j be (-12)/(-16) + (-51)/(-12). Suppose j*l = 2*p + 10, -6 = -3*l - 0*l + p. What is the smallest common multiple of l and y?
6
Let k(p) = 12*p**2 - 139*p - 135. Calculate the smallest common multiple of 498 and k(-1).
3984
Find the common denominator of 23/9 - 3 - (141344/10296 - 14) and -58/195.
2145
Let v = 5800 + -5761. Calculate the lowest common multiple of 780 and v.
780
Suppose u - 6*p + 4*p - 8 = 0, 3*u - p - 4 = 0. Suppose u = q - 4*q - b + 13, -q - 3*b = 1. What is the common denominator of 29/12 and (-55)/6*(-4)/q?
12
Let r = 143420293/348 + -412127. Find the common denominator of r and -91/174.
348
Let g(m) = 20*m**2 - 3*m + 3. Let l = -120 + 123. Let t(w) = -w**2 + 4*w - 1. What is the least common multiple of t(l) and g(3)?
174
Suppose -21*x - 1540 = -175*x. Find the common denominator of -10/2781 and x.
2781
Let z = -67517 - -37134379/550. Find the common denominator of -119/50 and z.
550
Let y be 873240/(-280) + (-4)/14. Let t = -24907/8 - y. Calculate the common denominator of 73/4 and t.
8
Let f(r) be the first derivative of 1/2*r**2 + 29*r - 11. Calculate the least common multiple of f(-10) and 8.
152
Suppose 162 = -2*j + 5*j. Suppose n = -3*s + 2*n + j, n = -5*s + 90. Calculate the lowest common multiple of s and 2.
18
Suppose 2*r + 0*r - 38 = 0. Supp