 of m and 189.
567
Suppose -4*k = -4*z + 246448, -2*z - k + 123218 = -6*k. Let w = z + -6900821/112. Find the common denominator of 43/16 and w.
112
Suppose -t + j = 261, -5*j = -2 - 13. Let y = t - -300. Calculate the least common multiple of y and 21.
42
Let f(k) = -16*k + 5. Let l(d) = -d**3 + 10*d**2 - 24*d. Let b be l(6). Calculate the least common multiple of 270 and f(b).
270
Let h = 77/5 - 49/2. Suppose -53 = -4*w + 3*u + 2*u, 0 = w + 3*u + 8. Calculate the common denominator of h and 2/w + 3772/(-168).
30
Let v = -18353833/834 + 22007. Find the common denominator of 101/1668 and v.
1668
Let w = -590 - -595. Suppose 3*i = 4*c - 19, -w*c + i + 25 = -c. What is the least common multiple of c and 38?
266
Let x(t) = t**2 + 3*t + 7. Suppose -17*o - 3*w = -13*o - 320, 3*o - 5*w - 211 = 0. What is the lowest common multiple of o and x(-7)?
385
Let x(a) = -a**2 - 2*a + 5. Let p be x(0). Suppose 7*g = p*g + 264. What is the common denominator of -31/5 and (g/(-154))/(16/(-350))?
20
Let s = 198961/30 - 6633. Calculate the common denominator of -49/258 and s.
1290
Let s be 0/1 + 26 + -26. Suppose s*w + 10 = 5*w. Suppose w*n + 15 = 21. Calculate the lowest common multiple of n and 9.
9
Let a(m) = m**2 - 9*m - 22. Let x(k) = -k**3 + 3*k - 2 - 13*k**2 - 6 - k + 2*k**3. What is the least common multiple of a(18) and x(13)?
1260
Let i be ((-4)/3)/(1*(-2)/6). Let u be ((-29527)/(-24))/(1/i). Let p = -4943 + u. Find the common denominator of p and -101/18.
18
Let y be 1560/22 + (-6)/(-66). Suppose 5*b + y - 211 = 0. What is the smallest common multiple of b and 49?
196
Suppose 19337 - 3237 = 51*q + 19*q. Calculate the least common multiple of 322 and q.
1610
Let n(l) = 18*l**3 - 2*l**2 + 3*l - 2. Let r be n(1). Suppose 0 = -12*b + r*b + 420. What is the common denominator of -67/10 and (b/8)/(29/(-3))?
290
Let v be (30092/78)/((42/9)/(-14)). Let l = v - -904853/780. Calculate the common denominator of -119/50 and l.
300
Let w be (-26)/((48/18)/(-4)). What is the common denominator of (-6)/(-18)*-3 + 105/w and 17/5?
65
Suppose j + 2*v = 274, -v + 1334 = 26*j - 21*j. Let r = j + -194. Calculate the smallest common multiple of 40 and r.
360
Let w = 245 + 246. Let h = w - 846. Find the common denominator of 58/21 and h/(-15)*(0 - 3/(-21)).
21
Suppose -32163*j + 144 = -32159*j. What is the least common multiple of 5085 and j?
20340
Suppose 28*v = -128*v + 29952. Calculate the lowest common multiple of v and 108.
1728
Let s = -24912 + 25119. Calculate the least common multiple of s and 1288.
11592
Let g(h) = -h**3 + 12*h**2 - 2*h + 22. Let d be g(12). Let v be (6/8)/(3/(-72)). Find the common denominator of 81/10 and (d - 92/(-16))*v/(-10).
20
Let z be 140/(-25) + 8/(-20). Let o(l) = l**2 + 6*l + 7. Calculate the least common multiple of z*3/72 - 81/(-4) and o(-5).
20
Find the common denominator of ((-4677)/360 + 13)/(((-70)/(-87))/(-1)) and -127/1200.
8400
Let p(v) = 941 - 10*v + v**3 - 1910 + 5*v**2 + 951. Calculate the least common multiple of p(-6) and 48.
48
What is the common denominator of 29/222 and (3/14)/((-66)/(-3212)*108/7)?
3996
Suppose 92*a - 13039 - 38999 = 43*a. Calculate the least common multiple of a and 2301.
13806
Suppose 0 = -40*m + 94*m - 62*m + 1024. Calculate the least common multiple of m and 2512.
20096
Suppose 6*y = 516 - 4302. Let g = y + 653. Suppose -4*v = 5*t - 314, 0*v - 4*v = t - 66. Calculate the least common multiple of t and g.
682
Suppose -69*i = -422*i + 2669 + 1567. Let m be ((-90)/(-8))/((-6)/32). Let d = 84 + m. Calculate the lowest common multiple of i and d.
24
Suppose -4*u + 2*u = -2. Suppose -5*q = -29*c + 27*c + 32, -c + q = -22. What is the smallest common multiple of (-9)/6*(u + -9) and c?
156
Let y(p) = 103*p**2 + 109*p - 402. Calculate the lowest common multiple of 10 and y(4).
8410
Let q(c) = -373*c - 1376. What is the smallest common multiple of 406 and q(-4)?
812
Let l(x) = 7*x + 224. Let g = 327 + -271. What is the smallest common multiple of l(-25) and g?
392
Let r be (-104)/(-6) + (-16)/(-24). Suppose -r = -4*s + 10. Calculate the lowest common multiple of ((-63)/(-36))/((-1)/(-8)) and s.
14
Let j(p) = 42*p - 234. Let b be j(6). Calculate the least common multiple of 215/(-172) + 1/(8/b) and (2 - 2) + 4*2.
8
Let i(a) = 40*a**3 + 3*a**2 - 4*a + 1. Suppose 0 = -2*y + 32 - 30. Calculate the least common multiple of 20 and i(y).
40
Let n = -1049/2310 + -60/77. Calculate the common denominator of n and 73/891.
8910
Let j = -65 - -108. Suppose 5*d - 4*l = j, -l + 19 = 2*d - 6. Let k = 887151 + -887144. Calculate the smallest common multiple of k and d.
77
Let j(k) = k**3 - 72*k**2 - 38*k + 59. What is the lowest common multiple of 8 and j(73)?
10456
Let w = -541141/30 - -18040. Calculate the common denominator of w and -83/45.
90
Let z = -262 + 264. Let q = 44577/8 - 5584. Calculate the common denominator of q and -1*(-11)/84 - z/(-7).
24
Suppose 3910*t - 170 = 3909*t + 2*d, 5*d = 3*t - 503. What is the smallest common multiple of 18 and t?
468
Find the common denominator of (4/(-148))/(4/(-236)*-2) and 45/(-36) + (-68)/(-10).
740
Let p = 149179261/586 - 254572. Calculate the common denominator of p and 6/5.
2930
Suppose -x - 384*s + 389*s = -43, 95 = 5*x + 5*s. What is the lowest common multiple of x and 119?
2737
Let u = 534373/24 - 22267. Find the common denominator of -95/434 and u.
5208
Let f(m) = -9*m + 17. Let r be f(-5). Let h = -64 + r. Let q(t) = -t**3 - t**2 + 2*t + 4. What is the lowest common multiple of q(h) and 8?
8
Calculate the common denominator of (-1 - 627452/(-770704)) + 0 - 14/(-77) and 71/8.
35032
Let g(c) = 42*c**2 + 234*c - 8. Let b be g(-6). Suppose -4*a + b = 5*x, -11 + 43 = 2*a - 2*x. Calculate the lowest common multiple of 8 and a.
40
Let m be 43 - (-28)/(21/(-3)). Suppose -27*h + m*h - 216 = 0. What is the smallest common multiple of h and 4?
36
Let c = 58329/16 - 3650. Let g be 2967/6 + 6/(-4). Let d = g + -915/2. Find the common denominator of c and d.
16
Let h = -46649/9306 - -140/423. What is the common denominator of h and 127/33330?
33330
Suppose -46*m = -9869 + 209. Calculate the lowest common multiple of m and 39.
2730
Let o = -446321/55692 - -1665/221. Calculate the common denominator of o and -15/308.
2772
Let v = 10/3934617 + 2967551095222/19673085. Let a = 147533 - v. Let s = 3300 + a. Find the common denominator of -55/2 and s.
10
Let d be ((-2)/4)/(93/(-12) + 8). Calculate the least common multiple of 3 and ((-3)/(-6))/(d/(-168)*7).
6
Suppose 9*j = -5*p + 3867 + 4317, -8142 = -5*p - 2*j. Calculate the smallest common multiple of p and 1897.
11382
Let f(u) = 2*u**2 - 47*u + 11. Let v be f(23). Find the common denominator of (-214)/v*(-9)/117 and 82/21.
546
Let j = 365 + -327. What is the least common multiple of j and ((-10)/35)/(4/476*-1)?
646
What is the smallest common multiple of (148/(-1332))/(3/(-594)) and 17254?
189794
What is the common denominator of -69/160 and (165/20 - 8) + (-8073)/27664?
21280
Suppose -4*m + g + 10 = 0, 16 = 2*m + 3*g + 2*g. Suppose 10*u - m*u = -1260. Find the common denominator of (u/(-24))/((-54)/56) and 56/3.
9
Suppose -12*z - 7*z + 22*z = 0. Suppose 5*n + 5*k - 12 = 28, z = 5*n + k - 48. What is the smallest common multiple of 5 and n?
10
Let p(b) = b**3 - 15*b**2 - b + 18. Let d = -18 - -25. Suppose s - d = 8. What is the smallest common multiple of p(s) and 15?
15
Let a = 153 + -272. Calculate the common denominator of a/35*1/((-4)/5) and (-4)/(-3)*(-327)/(-48).
12
What is the common denominator of 107/918 and (-30)/9*(-368)/11730?
918
Find the common denominator of (1350/810 + 8/(-7))/1 and -62/1041.
7287
Let k = -377132/29 + 13006. Let d = k - 745/174. Suppose -x - 8 = -2*m, 3*m = -m + 5*x + 22. What is the common denominator of m and d?
6
Let q = -721873/5 - -1222853477/8470. Calculate the common denominator of 53/1540 and q.
16940
Let t(j) = -j**3 + 10*j**2 + 13*j - 16. Let o be t(11). Calculate the common denominator of (-445)/o*11/385 and 58/21.
42
Suppose 5*z = 5*v + 3*z - 124, 2*v - 5*z = 58. What is the smallest common multiple of v + 0 + 6/(-6) - 2 and 33?
231
What is the common denominator of (34/(-249))/(120/(-45))*1 and 17/2?
332
Find the common denominator of (52/(-3504))/((99/110)/(36/(-15))) and -109/180.
13140