e (222/(-4))/(8/16). What is the common denominator of (164/60)/((-4)/(-6)) and ((-1)/3)/((-14)/q)?
70
Suppose 25 = 5*h, -4*f = -8*f + 2*h + 230. Suppose -4*q = -2*q - f. Calculate the smallest common multiple of q and 42.
210
Let m(o) = 2*o**2 - 12*o + 3. Let r be m(6). Let t = 8 + -5. Suppose -r*a = 4*g - 31, -5*a = -t*a + 5*g - 23. What is the smallest common multiple of a and 10?
90
Let w = -13216 + 7057. Let c = w + 73847/12. Find the common denominator of -47/6 and c.
12
Suppose 3*i - 396 = -5*x - 133, -x - i = -53. Let z(r) = -r**2 + 9*r - 8. Calculate the least common multiple of z(7) and x.
156
Let u(c) = -38*c - 116. What is the lowest common multiple of u(-4) and 64?
576
Let k(n) = -n**3 + 14*n**2 - 11*n - 34. Calculate the smallest common multiple of k(12) and 16.
976
Let h(g) = 16*g. Suppose 6*c = c + 5. Suppose 5*i - 8 = -y, 0 + 6 = -2*i - 5*y. What is the lowest common multiple of i and h(c)?
16
Let d = -66 + 94. Let j(v) = -v**3 + 13*v**2 + 16*v - 16. Calculate the smallest common multiple of d and j(14).
84
Suppose -3*y - 46 = -4*z - 189, -z - 4*y - 12 = 0. Let c be 8/(z/(-4830))*10. Let j = 241593/20 - c. Calculate the common denominator of 31/10 and j.
20
Let t = 13523/8 - 1687. What is the common denominator of t and 8/(-28) - 1194/(-112)?
8
What is the lowest common multiple of 14 and (0 + -1)*(-31688)/34?
6524
Let a = 12 - 37/2. What is the common denominator of a and -131/96?
96
Suppose -7*n + 3*n + 1260 = 0. Find the common denominator of 1/10*(2 - n/(-6)) and 53/12.
60
Suppose -2*p - p - 99 = 0. What is the common denominator of 305/(-60) - (-1)/(-4) and (-11)/44 - p/(-4)?
6
Suppose 8*c - 20 = 3*c. Suppose -2*j - 3*m = -74, 2*j + 37 = 3*j + c*m. Let f = j - 196/5. Find the common denominator of f and -37/8.
40
What is the common denominator of (2/(-6))/((-18)/(-50)) and (-25984)/1914 + 30/2?
297
Let y = -315 + 579. What is the lowest common multiple of y and 22?
264
Let h be (-8 + -1)/(-2 + (-66)/(-36)). Suppose 446 = -14*a + h. Calculate the common denominator of -29/11 and a.
11
Let a = 14 + -9. Suppose -3*w + 4*w = a. Suppose 0 = w*z - 35 - 0. Calculate the lowest common multiple of z and 10.
70
Let w = -68071 + 6671061/98. What is the common denominator of w and -29/20?
980
Suppose 0*r = -2*r + 32. Let z(x) = x - 5. Let q be z(0). Let m(o) = o**2 + o - 4. What is the lowest common multiple of m(q) and r?
16
Let b be (31 + -8)*(-745)/1. Let t = -12080173/705 - b. Let y = -1126/705 - t. Calculate the common denominator of -101/6 and y.
30
Let c be (-3 + 14/4)*-12. Let u be 3/c + (-15)/6. Let d(z) = -2*z**3 - 4*z**2 + 2*z + 4. What is the smallest common multiple of d(u) and 18?
144
Suppose 3 - 15 = 3*p. Calculate the common denominator of -77/16 and (p/(-18))/(40/1770).
48
Suppose -11*d = -6*d + 35. Let n(c) = -2*c - 10. What is the least common multiple of n(d) and 4?
4
Let r(u) = 10*u + 60. Let z be r(6). What is the common denominator of 109/30 and 435/(-21)*10/z?
420
Let q = 4704399 + -978518273/208. Let k = q - -188/13. Let n = -3143/4 - -1615/2. Calculate the common denominator of n and k.
16
Let v = -1039383921488110 + 4838688663212116383340/4655343. Let q = v + 54726/2879. Let x = q - 19/147. What is the common denominator of 34/13 and x?
143
Suppose 5*p = 22 + 58. Calculate the smallest common multiple of 10/3 - ((-4480)/(-120) + -36) and p.
16
Suppose 5*s + 6 = 11. Calculate the common denominator of s/(298/(-77) + 4) and -87/8.
40
Calculate the common denominator of 97/226 and 7830/1980 - 2*3.
2486
Let p(f) = -6*f - 3. Let x be p(-1). Calculate the common denominator of x/4 - (759/(-8))/11 and -41/14.
56
Let j = 24 - 42. Let b = -1411/720 - -1/45. Find the common denominator of b and 2/20*(-2925)/j.
16
Suppose 5*r - 5*n = r - 12, -4*r - n = 12. Let m = r + 5. Calculate the common denominator of 19/10 and m/4 - 13/(-8).
40
Let u = -27 + 30. Let c(v) = v**2 + 2*v + 2. What is the least common multiple of (-27)/(-36) + (1 - u/4) and c(-3)?
5
Suppose -2*a - 4*n + 36 = 0, 3*n = -2*a + n + 38. Calculate the common denominator of (-1)/(-2) - (a/12 + 3) and -93/14.
42
Suppose -3*h + 62 = -18205. Let x be (-27)/12*h/(-4). Let z = x - 3423. Calculate the common denominator of z and -107/20.
80
Let p = 16295/286 + -694/13. What is the common denominator of -11/6 and p?
66
Let y(x) = 54*x**2 - 4*x + 5. Let s be y(1). Let g = s - 25. What is the lowest common multiple of 18 and g?
90
Let j = -28417/36 + 790. What is the common denominator of 43/36 and j?
36
Let a(p) = p + 6. Let x = -3 + 13. Let w be x/2 + (-9)/(-3). What is the least common multiple of a(w) and 4?
28
Let r = 18 + -23. Let j = r - 7. Let n(m) = m + 22. Calculate the least common multiple of n(j) and 18.
90
Let g = 49/13 + -2783/728. Calculate the common denominator of g and -93/98.
392
What is the lowest common multiple of 4/6 + (-7)/((-168)/12560) and 11?
5764
Let d = 81 - 74. Calculate the lowest common multiple of d and (-6)/2 - 7/(-1).
28
Let z = 3226/483 + -2/161. Let x = -82 - 55. Let m = x - -1208/9. Calculate the common denominator of z and m.
9
Let j = -83587/18 + 4648. Find the common denominator of j and 73/360.
360
Let p(t) = -7188*t + 2. Let d be p(-2). Let n = d - 344983/24. What is the common denominator of n and 137/36?
72
Suppose -88 = -10*j - 8. What is the lowest common multiple of (48/20)/(j/60) and 3?
18
Let m(s) = 2*s**2 - 33*s + 145. What is the least common multiple of 34 and m(7)?
204
Let l(x) = -x**3 + x**2 + x + 18. Let w(s) = 2*s**3 - 5*s**2 + 3*s. Calculate the least common multiple of w(3) and l(0).
18
Let j be (-6)/10 - (-270)/(-50). Let q be (16/j)/(2/(-18)). Suppose 0 = -6*l + 4*l + q. What is the lowest common multiple of 20 and l?
60
Suppose 150*r + 170 = 167*r. What is the smallest common multiple of 3 and r?
30
Find the common denominator of (-88)/308 + 242/2660 and -59/14.
1330
Let z(y) = -y**2 + 11*y - 10. Let h be z(7). Let p be h/(-10) - (-2 + 3). Let i = 251/45 + p. Find the common denominator of -61/2 and i.
18
Suppose 2*g + 4*o = -22, -2*g - 2*o - 12 = -3*o. Suppose -5*w = 5*x + 20, 14 + 2 = -5*w - 3*x. Calculate the lowest common multiple of 7 and (g/2)/(1/w).
7
Let z = 14 + -11. Suppose 83 = 5*j - z*l, -65 - 10 = -5*j - 5*l. Calculate the common denominator of 21/10 and 1 - (-1 - 30/j).
40
Let n be 2149410/(-40)*(-1)/24*-1. Let f = n - -4479/2. What is the common denominator of 125/36 and f?
288
Calculate the least common multiple of 0 + (-4)/18 + (-760)/(-180) and 38.
76
Suppose 0 = -b + g + 4*g, 0 = 3*g. Suppose b = -3*k + 2*k + 4*t + 276, 0 = -2*k + 2*t + 570. Find the common denominator of 30/4*k/162 and 52/7.
21
Let i = 1490 + 605. Let d = i - 842. Find the common denominator of -61/10 and 1/(-5) - d/210.
30
Let o = 6880405/15809796 - 2/146387. Find the common denominator of -55/12 and o.
108
Let l be 38*(-4)/(10 - 2). Let f = l + 34. What is the common denominator of -107/18 and 5/f - (-386)/(-60)?
90
Let a = 218 - 3. Calculate the least common multiple of 6 and a.
1290
Let j = 1411 + -1379. What is the lowest common multiple of 116 and j?
928
What is the common denominator of (2 - 297/21)*(-42)/36 and 38/(-50)*(-10)/4?
30
Let j = -2 + 4. Suppose -j*a = -6*a + 196. What is the common denominator of (a + -1)*(-6)/63 and -29/10?
70
Suppose 0 = 4*p + 2*c - 52, p = -9*c + 14*c + 2. Calculate the smallest common multiple of 120 and p.
120
Let o = 19/299 - 26991/5980. Suppose -5 = -0*t - 5*t. Calculate the common denominator of 62*(-1)/(-24) + t and o.
60
What is the common denominator of 133/282 and (188/8 + -10)*(-9)/(-12)?
1128
Let r(l) = -6*l - 35. Let t be r(-5). Let f = 13693/900 - -8/225. What is the common denominator of (-299)/110 - 2/t and f?
44
Suppose 2*q = -2*q + 16, -2*y = -5*q + 20. Suppose -6*r + 3*o - 9 = -3*r, y = 3*r - o + 1. What is the common denominator of 10/7 and 1 + r + 36/22?
77
Calculate the common denominator of (-5 - -10)/(102/14) and 7/12.
204
Let g(n) = n**2 - n + 8. Let q be g(-3). Let m = -17 + q. Suppose 21 = m*j - 3*h, 0 = -4*j - 0*h + 2*h + 34. Calculate the smallest common multiple of j and 3.
30
Let a(y) = 6*y + 20. What is the smallest common multiple of a(-3) and 66?
66
Let y(p) = p**3 - 4*p**2 - 10*p - 14. Let f be y(6). What is the common denominator of 858/91*