 5*u + 15 = -0*q, 3*q + 8 = 4*u. What is the least common multiple of ((-65)/(-20))/((-1)/q) and 117?
117
Suppose 7*h = -12 + 19. Find the common denominator of -81/20 and ((-1)/110)/(h*(-6)/(-75)).
220
Let p = -4588 + 64271/14. Let n = -222 - -194. What is the common denominator of p and 6165/378 + 4/n?
42
Let y = 65/42 + 125/462. Let j = -198 + 201. What is the common denominator of y and (-170)/8*(-14)/(-15) - j?
66
Suppose 3*a - 242 + 48 = 5*b, -b - 270 = -4*a. Calculate the common denominator of 11/16 and (-25)/(-48)*a/(-80).
192
Let f(o) be the third derivative of -o**5/60 + 3*o**4/8 - 2*o**3 - 10*o**2. Let k be f(9). Find the common denominator of (-78)/k*12/(-14) and -41/8.
56
Let k be 22/5 - (-6)/10. Suppose -k*j + 10 = -5. Find the common denominator of (180/48)/(j/11) and 55/4.
4
Let u = -72824/5 - -68162749/4680. What is the common denominator of u and 115/84?
6552
Suppose -j + 20 = 117. Let r = j - -169. Suppose 5*s = 4*s + 4. Calculate the least common multiple of s and r.
72
Let q(b) = -916*b - 3. Let h be q(-1). Let n = -10885/12 + h. Calculate the common denominator of n and 47/28.
84
Suppose 16*d - 12*d = 232. Suppose 0 = -4*m + d + 14. What is the least common multiple of 152 and m?
1368
What is the least common multiple of (-1 - (-35)/15)*9 + (-7 - -1) and 2/2*15 - 0?
30
Let c be (4 - 4 - 1376)*-1 - 2. Let u = c + -2683/2. Calculate the common denominator of u and -22/89.
178
Let n = 27 + -29. Let c = 17303/210 - 853/10. Calculate the common denominator of n/3*(-49)/42 and c.
63
Let k = 436963/50 - 8740. What is the common denominator of k and 2/1915?
19150
Let p(h) = -h**2 + 45*h + 28. Let m be p(46). Find the common denominator of 117/20 and ((-85)/(-7))/(m/21) - -3.
60
Suppose -5*u + 2 = p, 3 + 3 = 3*p - 4*u. Suppose p*t - 3*t = 0. Suppose 3*o + 15 = t, 5*s - 47 = -3*o - 17. Calculate the lowest common multiple of 12 and s.
36
Let w be 1/((-4)/2)*(-9 - -7). Calculate the smallest common multiple of 74 - (w/3)/(9/(-81)) and 33.
231
What is the smallest common multiple of (-84308)/(-168) + -22 - (-2)/12 and 184?
11040
Suppose 3*c = -174*v + 171*v + 5625, 2*c - 9366 = -5*v. What is the smallest common multiple of v and 1456?
13104
Let s = 163478 - 44629432/273. Calculate the common denominator of s and -113/36.
3276
Find the common denominator of 95/76 + (-1514)/1496 and 49/136.
1496
Let n = -73 - -538. What is the lowest common multiple of 150 and n?
4650
Let a be (-16)/12 - 4/((-60)/245). Calculate the least common multiple of (40/a)/(4/6) and 8.
8
Let h(o) = -4*o**2 + 11*o - 1. Let n be h(-3). What is the common denominator of ((-332)/(-540))/((-28)/n) and -55/78?
702
Let t be (15272/3588)/((-44)/(-18)). Let g = t - 5121/2717. Find the common denominator of 9/19 and g.
209
Suppose 4*c = 4*x + 772 - 10120, -1 = c. Calculate the lowest common multiple of 44 and x.
25696
Let u = -1/1900 + -54619/11400. Let c(i) = i**3 - 6*i**2 - 4*i - 1. Let f be c(7). Find the common denominator of u and 1/3*66/f.
120
Calculate the least common multiple of 98 and 2/20 - (-3930960)/2400.
11466
Let v = 71 - 66. Let g be -13 - (10/v - -2). Calculate the smallest common multiple of 2 and (g - -13)*11/(-2).
22
Let z be ((-60)/(-20))/(2/24). Let i = -14 + 24. What is the common denominator of -85/8 and z/11 + i/(-10)?
88
Let z(c) = -2*c - 26. Let h be z(-24). Suppose 2 + h = 2*w. Find the common denominator of (-3)/5 + (-7)/(63/w) and 70/33.
165
Suppose -42 = -5*z + 4*i, 19*i = -z + 20*i + 10. Calculate the smallest common multiple of z and 18306.
18306
Suppose 2*j - 2*l = -j + 14, 0 = 2*j + 2*l + 4. Suppose -2*z + j*v = -60, -v + 2 = -2*v. Find the common denominator of (-158)/6*4/z and 23/12.
84
Let d(g) = -2*g**3 - 29*g**2 - 111*g + 14. What is the least common multiple of d(-6) and 234?
7956
Let d = -1854/25 - -98983/1300. Let n = -135227/36 - -3757. Find the common denominator of n and d.
468
Find the common denominator of 21053/5920 + 6/(-15) and -97/4.
32
Suppose -3*y = -0*j - j + 48, 2*j - 3*y - 111 = 0. Calculate the smallest common multiple of 4 and (-672)/j*6/(-4).
16
Let p = 4621 - 4267. Calculate the least common multiple of 1239 and p.
2478
Suppose 2*n + 41 - 131 = 0. Suppose -31*x + 26 = 4*h - 26*x, 0 = -4*h + 4*x + 44. What is the lowest common multiple of h and 550/n - 2/9?
36
Let a = 16301 + -2151707/132. Calculate the common denominator of a and -41/10.
660
Let t be -2*((-8)/(-12) - 31/6). Let l be 6*t/6*3/(-9). What is the common denominator of (-31)/l + 57/(-76) and 29/40?
120
Let v = -268649/28 + 9592. What is the common denominator of v and 131/520?
3640
Let t be (-34910)/(-22419)*(-126)/252. Let y = 2/2491 + t. Calculate the common denominator of y and (-398)/(-24) - (-2)/8.
18
Suppose 12*k = 16*k + 8, 4*n + 4 = 4*k. Calculate the smallest common multiple of (-2)/((-1250)/(-935)*n - -4) and 68.
748
Let o be 12/(-20) - (-1052)/20. What is the common denominator of 4/((-2)/2 - -7) and (-4)/o*-2 + 1285/3900?
60
Let k be (10/6 + -1)*(-837)/9. Let l = 76 + k. Calculate the lowest common multiple of (-15)/(-7) - (0 + 2/l) and 5.
10
Let l = -4/1603 - -155579/35266. Suppose 5*b - 15 = -x - 54, -3*x - 4*b - 84 = 0. What is the common denominator of l and (x/(-112))/((-6)/(-58))?
154
Calculate the lowest common multiple of 1239/413 + 0 + 564 and 504.
4536
Suppose s - 2*q = 13 + 9, 63 = 3*s - 3*q. What is the lowest common multiple of s and 7/(5 + (-95)/20)?
140
Let f = -184746 + 149274687/808. What is the common denominator of 61/504 and f?
50904
Let g be (-7 + -214 - 7)*-1. Find the common denominator of (g/(-1188))/(2/(2 + 10)) and -11/30.
330
Calculate the common denominator of 137/372 and 1830/651 + -2 - (-305)/(-427).
372
Suppose 2*v = -3*v + 3*o + 25, 3*o = -5*v + 25. Suppose v*d + 197 = 347. What is the least common multiple of d and 3?
30
Let i = -6977 - -6986. What is the lowest common multiple of 600 and i?
1800
Suppose r + 5*r = -84. Let z = 56 + r. Suppose 5*u + a + 3*a - 130 = 0, -u - 4*a = -z. Calculate the lowest common multiple of 10 and u.
110
Suppose -5*s + 1247 = u - 1137, -3*s + 1428 = 3*u. Let d = -127 + s. What is the smallest common multiple of 2 and d?
350
Let s(v) = 24*v + 818. Calculate the least common multiple of s(-7) and 364.
9100
Suppose 3*p - 23 = -17, -5*p - 50 = -o. What is the smallest common multiple of 12 and o?
60
Let y be 351/(-68) - (0 + 0). Let x = 6386 + -108878/17. Let v = y + x. What is the common denominator of v and -67/22?
44
Let z = 88 - -178. Let o = z + -455/2. Let k = -148589/2 - -74253. Calculate the common denominator of o and k.
2
Let p(b) = 2*b + 23. Let i be 1245/20 - (21/(-12))/(-7). Let h = i + -69. Calculate the least common multiple of p(h) and 4.
36
Let k = 1909425/1142 + -1672. Calculate the common denominator of k and -34/7.
7994
Let u = -27 - 28. Let a = u + 53. What is the common denominator of -79/18 and 85/12 + (a - (0 - -1))?
36
Let o = 11431 + -11073. What is the smallest common multiple of 18 and o?
3222
Suppose 2*x - x + 54 = 0. Let w be (-1368)/x*(1/2 + -2). Let v = 80 + w. What is the lowest common multiple of 2 and v?
42
Suppose 4*r - 6*r + 26 = -5*d, -2*d = 5*r - 65. Let n = r - -92. Calculate the lowest common multiple of 12 and n.
420
Let m(a) = a**3 - 5*a**2 + 5*a - 17. Let t be m(5). Suppose 36*s - t = 35*s. What is the least common multiple of 12 and s?
24
Suppose -l + 681 = 4716. Let d = -57852111827/14332912 + -5/1791614. Let u = l - d. Calculate the common denominator of -23/8 and u.
16
Suppose 0 = -4*d + 4*i + 3612, 4*i - 2694 = -3*d + 2*i. What is the least common multiple of d and 180?
900
What is the common denominator of -31/189 and (209/(-1260))/((-3)/(-6))?
1890
Suppose -1221 - 21606 = -42*v + 1743. Calculate the lowest common multiple of v and 195.
585
Suppose -10 = -12*g + 7*g. Suppose -g*h = 4*d + 360, 2*h + 0*d + 340 = d. Calculate the common denominator of (h/(-10))/(((-420)/25)/(-4)) and 43/30.
210
Let b(x) = -1190*x - 2128. What is the smallest common multiple of 8 and b(-6)?
10024
Suppose 0 = -4*c - 2*u - 898, -5*c + 0*u = -2*u + 1136. What is the common denominator of (c/28)/(12/(-35)*-10) and -127/12?
48
Let u be -25 + 21 + -467*1/(-552). Let y = 2/69 + u. Calculate the common denominator of y and 0 + (2 - 22/(-16)).
8
Let f = 7