 Calculate the common denominator of i and (378/98 - 3)/(8/161).
16
What is the least common multiple of 20 and (-12)/32 - (-51)/8?
60
Calculate the common denominator of (-6)/(-51)*1 - (-2064)/(-7140) and -45/11.
385
Calculate the common denominator of (-6)/(-90) + 35/987 and 1/47.
235
What is the least common multiple of (-24)/42 + -7 + (-5896)/(-28) and 21?
609
Let r be -3 + (-8)/(-2)*385. Let m be (1 - 2) + (-9350)/(-6). Let x = m - r. Find the common denominator of x and -2/11.
33
What is the least common multiple of 2/(-1)*6/(-4) and (-7 + 2)/((-6)/(-6)*-1)?
15
Suppose 2*z + 3*n = 52, -2*z - 55*n = -56*n - 68. Suppose 3*k = 46 + 14. What is the least common multiple of k and z?
160
Let g = 11819/17 - 696. Find the common denominator of 35/3 and g.
51
Let l = 90 + -665/6. What is the common denominator of (-2)/32*(-3 + 72) and l?
48
Suppose k + 1 = -l + 13, -60 = -5*k - l. Let m = -9 + k. Suppose 0 = 3*i - v - 13, 21 = 3*i - 0*v - m*v. Calculate the least common multiple of i and 6.
6
Let j = 12 + -8. Let o = 12 + j. Suppose -4*n = -55 - 1. Calculate the smallest common multiple of o and n.
112
Suppose 0 = -5*i - 22 + 77. Let p(u) be the second derivative of u**5/20 + 5*u**4/12 + 3*u**2 + u. What is the smallest common multiple of p(-5) and i?
66
Let f be 3836/30 + 2/15. What is the least common multiple of 6 and f/20 + (-4)/10?
6
Let r be ((-4483072062512)/15624)/(8/(-6)). Let x = -215201249 + r. Let f = x - 10/217. Find the common denominator of -23/16 and f.
48
Let b = -75/8 - -181/8. Let d = -397 - -1202/3. Calculate the common denominator of d and b.
12
Find the common denominator of 41/60 and 8 + (-474)/120 + -2.
60
Let q = 58 - 17. Let u(f) = f**3 - 21*f**2 + 34*f + 45. Let w be u(19). Let c = w + q. Calculate the least common multiple of c and 2.
10
Let z(w) = -w - 8. Let r be z(-5). Let n be (-210031)/9*r/(-6). Let a = 11664 + n. Calculate the common denominator of a and -65/8.
72
Let c be (-272241)/(-42) - 4/(-2). Let d = c - 6481. What is the common denominator of d and (235/(-80))/(1/(-2))?
56
Let f(a) = -85*a - 135. Let h(s) = 5*s + 8. Let t(b) = 2*f(b) + 35*h(b). Let q be t(-8). Let u = q + 44. Calculate the least common multiple of u and 20.
140
Let a = -9750 + 2145041/220. Calculate the common denominator of a and -119/198.
1980
Let z(y) = y - 30. Let f be z(0). What is the common denominator of (5/f)/((-1)/3) and (-4 - -11)*3*15/10?
2
Let k = 0 - -6. Suppose -2*f = -k*f - 8484. Let c = 23346/11 + f. Find the common denominator of -70/3 and c.
33
Let f = 776 - 574. Calculate the lowest common multiple of f and 18.
1818
Let n = 11061681/14 - 789772. Let p = n + -349. Calculate the common denominator of p and (2/9)/(16/(-12)).
42
Suppose -3 = 2*r - 4*a + 3*a, -3*r + 5*a - 8 = 0. Let m = 9 + r. Calculate the least common multiple of 12 and m.
24
Let k = -418 + 458. Calculate the least common multiple of 88 and k.
440
Let y(r) = r**2 - 18*r + 31. Let a(w) be the first derivative of -w**4 - 4*w**3/3 - 2*w**2 - 2*w - 1. Calculate the lowest common multiple of y(17) and a(-2).
154
Let p(i) = i**3 - 5*i**2 - 5*i + 14. Suppose 0 = 5*z - 10, 0*z + 3*z + 18 = 4*x. Suppose 3*h - 42 = -0*h. Calculate the lowest common multiple of h and p(x).
140
Let q(k) = -k**2 + 7*k - 9. Let x be q(6). Calculate the lowest common multiple of (-6 - -3)/(x/16) and 2*(-7)/(-5)*5.
112
Suppose a = -a. Suppose d = p + 3*p - 33, a = p - d - 12. What is the lowest common multiple of 4 and p?
28
Suppose -42 = h + 5*q - 1, 183 = -5*h - 3*q. Calculate the common denominator of ((-2)/h)/((-11094)/2790 - -4) and 119/12.
132
Let o(l) = 33*l - 16. Let a be o(3). Let s = a - 72. Calculate the smallest common multiple of s and 50.
550
Let d = -3756 - -22609/6. Calculate the common denominator of d and -57/8.
24
What is the common denominator of (-121)/14 - (-37)/(703/152) and (286/(-35))/((-24)/(-10))?
42
Let f(k) = -k**3 - 2*k**2 - 2*k - 1. Let o be f(-4). Let h = -21 + o. Let n(s) = s**3 - 5*s**2 - 2*s - 18. What is the smallest common multiple of h and n(6)?
18
Suppose -2*a - 8 - 2 = -3*b, 0 = 5*b + 5*a - 50. Calculate the smallest common multiple of 2/18*b + 2/6 and (-108)/(-14) + (-2)/(-7).
8
Let w = -2/7813 + -789045/265642. Calculate the common denominator of 71/102 and w.
102
Let k = -53670419/260 + 206425. Calculate the common denominator of -53/78 and k.
780
Let k = 2970 - 29659/10. Let x(g) = -723*g + 13. Let t be x(-8). Let v = t + -115969/20. What is the common denominator of k and v?
20
Let n be 8278/10 + 8/40. Let t = n - 18199/22. Find the common denominator of t and 107/14.
154
Let s = -552419/37 - -14929. Let c = -20299528197/3946834030 + 2/10667119. Let m = c - s. Calculate the common denominator of -54/5 and m.
10
Let d = -81 + 151. Let i = d - 62. What is the lowest common multiple of 6 and i?
24
Let m = -2437 - -273. Calculate the common denominator of (-4)/(-56)*4 + m/(-168) and -97/30.
30
Let z = -13 + 16. Suppose -6*a + z*a = -42. Suppose 4*b - 5*c - 77 + a = 0, -b + 27 = c. Calculate the least common multiple of b and 14.
154
What is the common denominator of -21 + 19 - (-53)/20*2 and 13/4?
20
Suppose -444 = -4*o + 836. What is the smallest common multiple of 3 and o?
960
Suppose -2*v + 23 = -3*v + 4*y, -2*v = -5*y + 49. Let o = -26 - v. Calculate the least common multiple of o and 6.
6
Suppose 42 = 5*t + 112. Calculate the common denominator of t and -71/270.
270
Let r = -1027709/42 - -24467. Let a = -5659/8 + 711. Find the common denominator of a and r.
168
Find the common denominator of ((-75)/(-7))/(552/21) and 15/8.
184
Let q be 292/(-6) - (-2)/3. Let s = 32/31 + 2627/248. Calculate the common denominator of ((-2)/(-36))/((-12)/q) and s.
72
Suppose 35*i - 454 - 4866 = 0. What is the smallest common multiple of 114 and i?
456
Suppose -3*m = 15, 0*t + t - 1 = 2*m. What is the common denominator of (58/(-40))/(t/27*-2) and 101/8?
40
Suppose -5*d = 2*l - 32, -4*d + 28 - 7 = -3*l. Suppose 4*u = u + d. What is the lowest common multiple of u and 2/4 - (-7)/2?
4
Let o = 400/3 - 134. What is the common denominator of -76/9 and o?
9
Let m = 221/22 - 135/11. Find the common denominator of m and (-23 + -35)*(3/(-12) - 0).
22
Let b = -13/8 + -39/8. Find the common denominator of b and 73/3.
6
Suppose t + 4*k = 9*k - 4, -5*k = 5*t - 130. What is the lowest common multiple of 24 and t?
168
Let z(i) = 6*i**2 + 33*i + 10. What is the least common multiple of 77 and z(-6)?
308
Let q = 2825 + -2241. What is the lowest common multiple of q and 10?
2920
Let q = -2882363957/560 - -5147080. Let d = q - 4368569/1680. Let y = -2589 - d. Find the common denominator of -1/7 and y.
42
Suppose -3*r + 2*r = -16. Let x(b) = -3*b - 24. Let g = 32 + -46. Calculate the least common multiple of r and x(g).
144
Suppose -3*q - 4*s + 70 = 0, -q + 3*s + 27 = 8. What is the smallest common multiple of q and 14?
154
Let a = 211 - 1283/6. Calculate the common denominator of 2/(1/(33/(-20))) and a.
30
Let k(h) = 5*h**2 - h. Suppose 236 - 36 = 5*m. Suppose z - 6*z - 28 = -4*s, -3*s = z - m. Calculate the least common multiple of s and k(-1).
12
Suppose -17*z = 13*z - 780. Calculate the least common multiple of z and 78.
78
Let a(x) = -2*x - 36. Let k be a(-21). Find the common denominator of k/4 - 1 - (5 + 26) and 55/3.
6
Suppose 4*c + 4*m - 8 = 0, -7*c + 8*c - 3*m = 14. Suppose -t + 0*w = w - 6, 3*t = c*w - 22. Calculate the lowest common multiple of t and (11*(-2)/2)/(-1).
11
What is the common denominator of 43/48 and (-422)/(-44) - (4 - -1)?
528
Let u = 2 + 3. Let h(p) = -p**2 + 7*p + 1. What is the least common multiple of (3/(-6))/(-4*2/176) and h(u)?
11
Suppose 0 = -5*a + 4*u + 304, -a + 0*a = -5*u - 65. Suppose -4*x - 4 = 0, 3*t + 5*x = -11 + a. What is the smallest common multiple of t and 48?
144
Let q = 156 + -1094/7. Let y = 6/7 - q. Calculate the common denominator of 3385/850 + 0 + (-6)/(-51) and y.
70
Suppose 19*x - 21*x - 18 = -3*h, -h + 11 = x. Calculate the lowest common multiple of 6 and h.
24
Suppose c + 2 = -2*q, 3*c - 5*q + 0*q = 38. Suppose c*p + 2268 = 10*p. Calculate the common denominator of 55/3 and (p/18)/((-5)/(-2)).
15
Let z be (-554)/(-18) - 6/(-27). Suppose z*f - 37*f + 144 = 0. Calculate the least common multiple of 6 and f.
24
Let b = 4/132