j + 64. What is the lowest common multiple of 80 and j?
80
Let z = 1/18184173 + -278828026929/30306955. Suppose 5*u - u + 36780 = 0. Let q = z - u. Calculate the common denominator of q and 41/36.
180
Suppose -21*m + 8*m = -117. Find the common denominator of 519/15 - (-1 + m/15) and -37/4.
4
Let n = -114 - -183. Suppose 3*x + 84 = -n. Let h = x - -55. What is the lowest common multiple of h and 2?
4
Let p be 74/12 + 7/(-42). Suppose p*i - 16 + 88 = 0. Find the common denominator of 49/10 and (2 - (-27)/i)*(-44)/(-46).
230
Suppose 3*c + 1000 = -2*w - 2*w, 4*c = -3*w - 1324. Let l = c + 346. Let j(b) = b**2 + 8*b + 9. Calculate the smallest common multiple of j(-9) and l.
18
Suppose 13*d + 17 = -3*k + 11*d, 2*d + 8 = 0. Calculate the common denominator of 3/2*(-3)/2 and k - 90/16*(-12)/40.
16
Let l = 905/178 + -48071/11748. Find the common denominator of 5/2*(-24)/(-20) + 1064/(-154) and l.
132
Find the common denominator of 163/264 and ((-10)/(-90))/(11/(-16)).
792
Suppose -3*i + i = 0. Find the common denominator of (-2)/(-24)*(i - (-21)/10) and (-1)/8*34 + 6/4.
40
Calculate the common denominator of 107/740 and 10129/(-80808) + 24/312.
4440
Let z = -466488/17 + 5608851/340. Let g = -10948 - z. What is the common denominator of g and 61/218?
2180
Suppose -6*j - 928 = -x, -15*x + 4*j = -11*x - 3792. What is the smallest common multiple of x and 170?
4760
Let p be (0 - 207/42)/(24/(-1599)). Let r = p + -2271/7. What is the common denominator of (-1034)/360 - 3/5 and r?
144
Suppose 39*o = -14*o + 31*o + 1056. What is the smallest common multiple of o and 146/6 + 2/(-6)?
48
Let p(c) = c**2 - 12*c + 11. Let s be p(11). Suppose 2*k + s*k = 66. Suppose -k*n - 78 = -36*n. Calculate the least common multiple of 8 and n.
104
Let r = 313241/1320 + -1184/5. Calculate the common denominator of -47/9 and r.
792
Let u = 117 + -96. Calculate the smallest common multiple of 10 and ((-910)/u)/(7/((-84)/8)).
130
Suppose -522 = -21*j + 3*j. Suppose -j = -2*a + y, 16*y = a + 11*y - 37. What is the least common multiple of 3 and a?
12
Suppose 15 = -5*j + 10*j, -3*j = -3*x + 29931. What is the smallest common multiple of 18 and x?
89820
Let l(t) = -t**2 - 17*t - 51. Let k be l(-14). Let r(m) = m**3 + 11*m**2 + 8*m - 30. Calculate the smallest common multiple of 36 and r(k).
180
Let s = 404463/22 + -18380. Suppose -5 = 5*y + 4*g, -4*y = -0*g + 4*g + 8. Calculate the common denominator of y/4*282/90 and s.
220
Let p = -4436/11 - -154501/385. Find the common denominator of p and 46/525.
525
Let v(h) = -h**3 + 4*h**2 + 3*h - 1. Let z be v(5). Let b be (-55213)/3*z/68*6. Let p = -17865 + b. Find the common denominator of p and -61/2.
34
Let g = -3026 - 292. Let s = g + 13357/4. Calculate the common denominator of (-47)/6 + (3 - 2) and s.
12
Let y = 87827/10 + -8772. Let f = -29694448299/38038 - -21858245/28. Let o = f - -240/209. Calculate the common denominator of o and y.
260
Let f(u) = -u**3 + 5*u**2 + 14*u - 1. Let z be f(7). Let x(p) = 12*p**2 + 2*p + 2. What is the common denominator of -82/21 and x(z)?
21
Let q be (42/(-15))/(8/(-20)). Suppose 2*g + q*r + 8782 = 5*r, -5 = -5*r. Let y = 65843/15 + g. Find the common denominator of 46/9 and y.
45
Suppose 486 = 5*g - 9*r + 10*r, 4*g - 372 = 2*r. Calculate the lowest common multiple of g and 2628.
21024
Let j = 15109 - 1495816/99. Find the common denominator of j and 3916/(-342) - 78/741 - -4.
99
Suppose 4*x = 2*j - 666 - 604, j + x = 656. What is the lowest common multiple of 413 and j?
4543
Suppose 2*b = 497 + 35055. Let i = 193872/11 - b. Let n = i - -4958/33. What is the common denominator of n and 41/3?
33
Let d(n) = 6*n - 21. Let g be d(3). What is the lowest common multiple of ((-112)/g)/4*(-36)/(-14) and 4?
24
Let v be ((-1497)/18)/(4*(-12)/(-32)). Let b = 111/302 + -157435/2718. Let s = v - b. What is the common denominator of 13/4 and s?
36
Suppose 0 = -v - 299 + 331. Suppose -v*y - 23*y + 1210 = 0. Suppose 3*t + g - 2*g - 105 = 0, 4*g = 4*t - 132. Calculate the lowest common multiple of y and t.
396
Suppose 0 = 15*c - 19*c. Suppose 4*y = 5*q - c*y + 24, -3*q = y + 11. Calculate the common denominator of -3 - q/(-64)*106 and 23/14.
56
Let l = -27/268 - -8741/5628. What is the common denominator of l and 37/18 - 7/21?
126
Find the common denominator of (9785/(-1140))/((-9)/(-6)) and -11/360.
360
Let h(p) = 25*p**2 + 10*p + 56. Let b be h(-5). Let j = b + -621. Calculate the smallest common multiple of j and 7.
70
Suppose -5248 = -63*y + 1556. What is the smallest common multiple of y and 270?
540
Let h(o) = o**3 - 16*o**2 + 2*o - 25. Suppose 2*v - 7*t - 124 = -9*t, t + 280 = 5*v. Calculate the least common multiple of h(16) and v.
399
What is the common denominator of -40/69 and (-8)/(-18)*((825/20)/1)/28?
1932
Let i = 32903 + -32747. Calculate the lowest common multiple of i and 244.
9516
Let m = -23/10 - -539/80. Find the common denominator of -55/5876 and m.
23504
Let w = 389840656/3911 - 99678. Let y = w + -465369/78220. Let p = 5539/286 + -250/13. Calculate the common denominator of p and y.
220
Let v = -19081/1624 - 1/1624. Find the common denominator of v and 103/164.
164
Let s be 5 + 44 + 6/(-2). Let p = s + -25. Calculate the least common multiple of p and 20/10*1 + 31.
231
Suppose -9*r - 4 = -10*r. Suppose 2*a - h = 86, 26*a + 186 = 30*a + 5*h. What is the smallest common multiple of r and a?
44
Let z(h) = -h**2 + 8*h + 21. Let i = -1018 - -1158. What is the least common multiple of i and z(9)?
420
Suppose 1289 = -3*p + 1271, 3*q - 3*p - 81 = 0. What is the smallest common multiple of q and 555?
3885
Suppose 47*f = 46*f. Suppose f = i + 20*i - 126. Let x = -85 + 97. Calculate the smallest common multiple of i and x.
12
Find the common denominator of (306245/(-1050))/(-23) + 286/(-22) and -99/280.
840
Calculate the lowest common multiple of ((-56)/(-35))/(5/(-50)*-1) and 2582.
20656
Suppose 10 = g + 3*l, -5*g = 2*l - l - 50. Let j(u) = u. Let z be j(g). Suppose w - a - z = -1, 65 = 5*w - a. Calculate the smallest common multiple of w and 2.
14
Suppose -105 = -j - t, -3*j + 0*t = 4*t - 312. Suppose 50*i - 62*i + j = 0. Let l(n) = 3*n**3 - n**2 + n - 1. Calculate the least common multiple of i and l(1).
18
What is the smallest common multiple of -1 + 1769 + (-272)/16 and 34?
3502
Let a = 2600328/30696623 + -2/99989. Let d = a + 13909/6140. Find the common denominator of -107/50 and d.
100
Let m be 17/((-459)/2)*(-6152)/310. Let u = 174/155 + m. What is the common denominator of -49/18 and u?
54
Let t(m) = -2*m**3 - 5*m**2 - 4*m - 8. Suppose 0 = 3*y + 4*u - 6*u + 16, -5*u = -5*y - 30. Calculate the least common multiple of 63 and t(y).
504
Suppose 12*s = 8*s + 3*u + 731, 0 = s - 3*u - 185. What is the smallest common multiple of s and 130?
910
Let b(r) be the first derivative of 2*r**3/3 - 11*r**2/2 + 36*r + 264. Calculate the lowest common multiple of 75 and b(4).
600
Suppose 11*y - 2*y = 27. Let r(t) = t**2 - 33 + 6*t + 6*t + y*t. What is the lowest common multiple of 1 and r(-17)?
1
Let a(h) = -52*h + 94. What is the smallest common multiple of 2 and a(-14)?
822
Calculate the common denominator of -47/4 and (-2)/(4/309)*(-54)/(-8262).
204
Let d = -31851/4 - -7959. Find the common denominator of d and 13/3152.
3152
Let g = 9731 - 9726. Calculate the lowest common multiple of 765 and g.
765
Let c = -7 + 19. Calculate the common denominator of -1 + 15/c - -4 and 143 - 151 - ((-2884)/(-16))/(-7).
4
Suppose 4*j + o = 60, 4*j - o = 3*j + 15. Suppose -1006 + 511 = -11*m. What is the common denominator of 5 and (-36)/m + 247/j?
3
Let h = -47 - -49. Suppose 2*r - 9 = j - 137, -h*r + 676 = 5*j. Calculate the smallest common multiple of 16 and j.
1072
Let z = 22907 - 1443107/63. Find the common denominator of 121/24 and z.
504
Suppose -4 = -3*j + 11. Suppose 3*d - 35 = -4*l - 3, l + 15 = j*d. What is the smallest common multiple of d and 16?
16
Let t = -38 - -66. Suppose -91306 + 432956 = -25*z. Let f = z + 136771/10. Find the common denominator of f and t.
10
Find the common denominator of (113/3)/((-20)/6) and 2 - (-27 + 7505/513)*3/(-4).
90
Find the common denominator of 3 + (((-14965)/(-336))/(-5) - 12/(-126)) and -85/6.
48
What is the common denominator of 95/(-38) - -3 - (-1)/(-8)*-2 and 55/13?
52
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