*j, -5*j = 5*b - 30. Suppose -j*o + 62 = -118. Find the common denominator of 196/o*(-10)/(-60) and 35/9.
27
Let m(t) = 8*t + 94. Let b = 159 + -164. What is the least common multiple of m(b) and 57?
1026
Let z = -2762/9 + 2505140/8163. Let h = -232686674669/109455359592 - -624/5028269. Let u = z + h. What is the common denominator of u and 68/3?
24
Let t = -5/579 + 6115/386. Find the common denominator of t and 17/106.
318
Let u = -21043 - -21883. Calculate the smallest common multiple of 60 and u.
840
Let m = -5763 - -6407. What is the lowest common multiple of 24 and m?
3864
Let j = -6302930326 - -481443029998129/76384. Let w = j - 45/1364. What is the common denominator of -43/16 and w?
224
Let j(r) be the second derivative of r**5/20 + 2*r**4/3 + r**3/6 + 5*r**2 + 29*r - 1. Let p = 8 + -16. Calculate the smallest common multiple of j(p) and 32.
32
Suppose -14*j + 12*j - 4*g + 236 = 0, 361 = 3*j - g. Calculate the smallest common multiple of j and 380.
2280
Let i = 12 - 5. Suppose -2*p = -2, 5*g - 2*p - 1 = 7. Suppose 5 = -0*x + 5*x + 3*f, 2 = g*x + 2*f. Calculate the smallest common multiple of x and i.
7
Let b = 93 + -88. Let f(i) = i**2 - 20*i - 21. Let v be f(21). Suppose 2*h - 33 + 13 = v. Calculate the lowest common multiple of b and h.
10
Let g(y) = -y + 3. Let a be g(1). Suppose 4*r = -3*u + 57, 0*u + 39 = 3*u - a*r. What is the lowest common multiple of (-6)/(11/(-10) - 6/u) and 22?
44
Let l = -24 - -27. Suppose -l*n - 8 = n, -5 = -5*t - 5*n. Suppose -t*k + 5 + 16 = 0. What is the smallest common multiple of k and 2?
14
Let k = -5 - 12. Suppose -5*w = 3*v + 12, -w + 14 = -v + 2. Let c = v - k. What is the lowest common multiple of 12 and c?
24
Let f(m) = 1605*m - 1075. Calculate the lowest common multiple of f(3) and 99.
33660
Suppose 13*z + 220 = -9*z. Let v(o) = -o**2 - 5*o + 5. What is the lowest common multiple of (4 - 56/12)/(z/405) and v(-5)?
135
Let z(w) = w**2 - 2*w - 9. Let s(m) = -m**3 - m**2 + 4*m - 6. Let y be s(-3). Let q be z(y). What is the common denominator of -79/21 and (-125)/6*q/(-135)?
126
Find the common denominator of 91/22 and (-33)/(-363) + 643/(-6116).
6116
Let q = -34/325 - -18487/5850. Calculate the common denominator of 53/3426 and q.
10278
Suppose 10*p = 9*p + 29. Let q = p + -5. Suppose -71*f - q = -72*f. What is the least common multiple of 3 and f?
24
Find the common denominator of 8/(-12) - 5/(-84) and (-65)/25 + 3 + (-2151)/13860*-11.
28
Suppose 4 = o - 3*x, 0*x + 3*x + 11 = 2*o. Suppose -400 = -o*g + 2*g. Calculate the smallest common multiple of (96/g)/(6/40) and 8.
8
Suppose -5*x + 44 - 24 = 0, 4*x + 2424 = -5*f. Calculate the common denominator of 37/28 and 47/(-420) + (-366)/f.
420
Let n = -591982/70101 - -2/7789. Find the common denominator of n and 95/1758.
5274
Suppose -g - 1 = 0, -2*y + 38 = -2*g - 20. Calculate the smallest common multiple of 56 and y.
56
Suppose 4*q = 5*g - 21, g - 41 = -3*q - 33. What is the smallest common multiple of 573 and q?
573
Let w = -234/2567 - -1857761/20520598. Let s = w - -208399/887334. What is the common denominator of -23/51 and s?
1887
Let q = 103 + -104. Let j be (q/(-5))/((-21)/(-315)). Suppose j*h = -3*t + 6*h + 39, 3*t - 27 = -h. What is the least common multiple of 62 and t?
310
Suppose -9*o + 100 = -5*o + 3*h, 125 = 5*o - 3*h. Suppose 7*d - o*d = -72. Calculate the least common multiple of d and 8.
8
Let d be ((-2233054)/18)/((-50)/6 - -3). Let z = -23263 + d. Calculate the common denominator of 337/20 - 15/25 and z.
48
Let w(x) = -x**2 - 64*x + 17. Calculate the smallest common multiple of 26 and w(-64).
442
Find the common denominator of (-68)/1122*395/(-30) and -103/528.
1584
Let x = 25204 - 12047575/478. Calculate the common denominator of -15/26 and x.
6214
Suppose -v - 77 = 4*f, 4*v - 127 = -5*f - 446. Let r = -1297/16 - v. Let n = r + 697/16. What is the common denominator of n and 83/8?
8
Let u = -4884 + 6672. Calculate the smallest common multiple of u and 24.
3576
Suppose -3*k = k - 4, 4*h + k = 41. Let d(s) = 11*s - 114. Let c be d(11). Suppose 217 = -c*o + 231. Calculate the least common multiple of o and h.
10
Calculate the common denominator of (-44)/110 + 741/1530 and -43/120.
2040
Let k(a) = 405*a + 9. Suppose 0 = -3*i - 6, 0*v = -3*v - 2*i - 79. What is the smallest common multiple of k(0) and (-50)/4*20/v?
90
Let a = 1564/135 + -253/54. Find the common denominator of a and 91/376.
1880
Suppose 0 = -5*p - 15, 2*m + 3*m = 5*p + 55. Calculate the common denominator of (-25668)/(-2208)*(-8)/30 and ((-2)/m)/((-90)/(-688)).
90
Suppose -m = 2*f + 94, -5*f - 3*m = -7*f - 86. Find the common denominator of ((-12)/(-128))/((-12)/f) and 170/(-32) + (-4)/(-2).
64
Let b(j) = -3*j**3 - 11*j**2 - 74*j - 184. What is the lowest common multiple of b(-14) and 48?
20784
What is the common denominator of 73/1404 and (-86671)/13570 - (-10)/115?
7020
Suppose -3*h = -0*h + 2*s - 829, 4*h - 3*s = 1128. Let l be 31/h + (52/(-18))/(-1). Suppose i = l*i - 32. Calculate the lowest common multiple of i and 4.
16
Suppose -4*p + 3*t + 934 = 0, -5*t - 6 - 4 = 0. Suppose 67*u = 65*u + p. Suppose 12*v = u + 28. What is the least common multiple of 20 and v?
60
Let g = 13870 - 55431/4. Find the common denominator of -17/56 and g.
56
Suppose -22*j + 3118 = -270. Calculate the lowest common multiple of 242 and j.
1694
Let j = -661/414 - -99/46. Let u be 54436/(-18) + 1/1. Let k = u - -3020. Calculate the common denominator of k and j.
9
Let m be (0 - 11/14)/((-930)/2330797). Let d = 9788/5 - m. Calculate the common denominator of d and -25/76.
228
Let j = 628 - 681. Let v(m) = -7*m + 12. Let k be v(-9). Let c = j + k. Calculate the least common multiple of 10 and c.
110
Let t be (-1 - ((-280)/(-25))/2)*-55. What is the least common multiple of 40 and -2 + t/9 - (-50)/30?
40
Suppose 0 = 3*u + 4 + 2. Calculate the least common multiple of 12*(u + (-10)/(-4)) and (4 - (-651)/(-147))*(-5 + -2).
6
Let j = -7381 + 7383. What is the least common multiple of j and (-1)/(1*2/(-68))?
34
Let m(b) = 2*b**3 - 12*b**2 - 4*b - 4. Let a be m(12). Let z = -10033/6 + a. Find the common denominator of z and (0 - (-1 + 0))/(1200/(-5080)).
30
Let d = -220729/622180 + -7/2393. Find the common denominator of d and -109/310.
8060
Suppose 0 = 5*l - 3*z - 883, z - 816 - 63 = -5*l. What is the lowest common multiple of l and 2816?
2816
Let x be 12/(-60) + (-852)/(-10). Let u = -29897/8 - -3725. What is the common denominator of u and (1 + 3 - 3) + x/(-22)?
88
Let f = 1/5855 + -345877/2529360. Find the common denominator of -107/396 and f.
4752
Let c = 16613 + -531529/32. Let z = -128033/55154 - -8/2507. Calculate the common denominator of c and z.
352
Let s = 29116 + -28966. What is the lowest common multiple of 100 and s?
300
Let v(w) = 2*w**3 + 41*w**2 + 160*w + 31. What is the least common multiple of v(-5) and 401?
2406
Let u = -253996081/110 + 2308984. Let p = 816/11 + u. What is the common denominator of p and ((-87)/(-54))/(1/5)?
90
Suppose -d - 2 = -3*d, 2*o + 2*d - 14 = 0. Let t(v) = 4*v**2 - 26*v + 56. What is the lowest common multiple of t(3) and o?
42
Let a(l) = -2*l**2 + 53*l + 87. Let z be a(28). Suppose 0 = -5*v, 27 = z*w - 3*v + 3. Let u = -2 + 13. What is the least common multiple of u and w?
88
Let h = 230513121/32228 + -50068/7. Let l be -2 + (-4357484)/(-1381200) - 3/9. Let d = h - l. What is the common denominator of 71/4 and d?
100
Let a(u) = 4*u - 2. Let d be a(2). Suppose 39 = 3*i - 42. Let c = d + i. Calculate the smallest common multiple of c and 24.
264
Calculate the common denominator of 11/1011 and (-2910)/540 - (-5)/(-2).
3033
Suppose 649*c + 12 = 645*c, 579 = 2*o - c. Calculate the lowest common multiple of 1264 and o.
22752
Suppose 2*k + 2*y = -34, -k + 4*y = 6 + 1. Let r = -7 - k. Calculate the lowest common multiple of 8 and r.
8
Suppose -779*a + 920*a - 705 = 0. Let v = 74 - 13. What is the smallest common multiple of v and a?
305
Calculate the common denominator of -17/560 and (121 + -1)/12 - (-886)/(-112).
560
Suppose -12*t - 26*t + 2280 = 0. What is the lowest common multiple of (12/(-2))/(t + -62) and 4?
12
Suppose 603 = 3*l - 3*v, -5*l + 3*v - v = -1005. Let a = l - 193. What is the smallest common multiple of a and 4?
8
Suppose 14*g + 976 = 6*g.