pose 2*o = -3*o - 10. Let i(q) = -12*q**2 - q + 2. What is the common denominator of (5 + (-10)/(-3))/(8/(-6)) and i(o)?
4
Suppose -3 = 10*j - 11*j. Let a be (1 + (-43)/3)*-3. Calculate the common denominator of j/a*(-2065)/(-42) and 73/8.
16
Let w = 21 + -21. Let l = w + 8. Let m = 36 - 22. Calculate the least common multiple of l and m.
56
Let v(c) = c + 33. Let j = -4 - -12. Calculate the smallest common multiple of j and v(-24).
72
Let c = 13007/4 + -1001463/308. What is the common denominator of c and 4/99?
693
Find the common denominator of -19/11 and 172/5246*(-1 + (-1)/(-6)).
2013
Let c(x) = x**2 - 2*x - 12. Let t be c(-3). Suppose o = 4*r - o - 68, 49 = t*r - 2*o. Calculate the least common multiple of 8 and r.
152
Let j be 8/14 - 828/(-21). Suppose -17*p = -16*p - j. What is the smallest common multiple of p and 32?
160
Suppose -2*g = -5*g + 120. What is the least common multiple of g and (-2*45/18)/(60/(-192))?
80
Let j = 6 - 1. Suppose 24 + 16 = j*i. Suppose 0 = -6*n - 3*n + 99. Calculate the smallest common multiple of n and i.
88
What is the common denominator of 1 + 0 + 83/22 and 6/56*(-2 + (-35 - -3 - 5))?
308
Calculate the common denominator of 137/48 and -31*27/(-45)*1/(-36).
240
Suppose -9 - 51 = l. What is the common denominator of 125/6 and ((-14)/3 - -1)/(l/18)?
30
Suppose 5*o - 200 = 6*o. Find the common denominator of ((-5)/o)/((-1)/78) and -7/4.
20
Suppose -624 - 296 = -4*y. What is the smallest common multiple of 35 and y?
1610
Let j be (-10)/(-3)*(-27)/(-9). Suppose -j*s + s = -18. Calculate the lowest common multiple of s and 8.
8
Let w be 2/(-604)*156976/5836. Let v = w - -14/1459. Let l = v + -11785/1812. Find the common denominator of 101/10 and l.
60
Let t(b) = 2*b**3 - 9*b**2 - 29*b + 4. What is the lowest common multiple of 16 and t(13)?
10000
Let w(o) = 7*o + 261. What is the lowest common multiple of 900 and w(-37)?
900
Suppose 764 = 3*g - g. Suppose -2*c - 2 - 34 = 0. Calculate the common denominator of g/99 - (-4)/c and -70/3.
33
Let b = 156 - 1720/11. What is the common denominator of b and 99/(-24)*-2 - (-52)/104?
44
What is the common denominator of -27/22 and 63/27*6/20 + 3?
110
Suppose -1944 = 25*v - 4694. What is the lowest common multiple of v and 132?
660
Let i be (29/(-24))/(1 - 11697/11690). Let z = i - 2010. Calculate the common denominator of 91/92 and z.
276
Let m = -205 + 229. What is the lowest common multiple of 40 and m?
120
Let b = -377/7 - -3637/70. What is the common denominator of 31/30 and b?
30
Let m = 790/3 + -11147/42. Let j = -1/839 + -72979/11746. What is the common denominator of m and j?
14
Let o = 26 + -28. Calculate the common denominator of -5/2 and (o/18)/((-3)/(-51)).
18
What is the common denominator of -83/80 and ((-145)/24)/(-1)*36/680?
1360
Let b be (319/(-110))/(2/38). Let t = -256/5 - b. What is the common denominator of t and -95/4?
20
What is the lowest common multiple of ((-2)/4*-3)/(12/264) and 9?
99
Let g = -7/142 + -12749/6390. What is the common denominator of g and -139/30?
90
Let g(u) = 31*u - 1. Let r be g(1). Calculate the common denominator of 95/22 and ((-834)/30)/(r/25).
66
Suppose 2*p + 1 = p. What is the smallest common multiple of (35/7)/(p/(-2)) and 7?
70
Suppose -2*l = 2*l - 2*f - 30, 10 = -2*f. Suppose 0 = l*o + 4 - 44. Suppose 10*u - 15*u = -40. What is the least common multiple of u and o?
8
Let a(u) = 13*u + 37. Let s be a(-9). Let x = 90 + s. What is the smallest common multiple of 20 and x?
20
Let i = -147 + 211. Let h = -62 + i. What is the lowest common multiple of 22 and h?
22
Let u be ((-1)/(-5))/(8/(-12860)). Let w = -315 - u. What is the common denominator of (-14)/315*-5 + 1185/54 and w?
6
Let u = 14 + -24. Calculate the smallest common multiple of 3/(15/(-20)) - u and 27.
54
Find the common denominator of -1 + (67 - 172)*(-4)/310 and 93/10.
310
Let d = -123 - -129. What is the smallest common multiple of d and 21?
42
Let k = 609068149/5 - 122235162. Let v = 419240 + k. Let a = v - -22803/10. Calculate the common denominator of 51/5 and a.
10
Suppose 2*a = 17*b - 12*b + 10, a = 3*b + 5. Calculate the lowest common multiple of a and 55.
55
Suppose -741 = 10*a - 29*a. Let t(o) = -o**2 + o + 2. Let u be t(6). Let k = a + u. Calculate the lowest common multiple of 21 and k.
231
Suppose -218 = -9*k - 56. Calculate the lowest common multiple of 21 and k.
126
Suppose 7*z = -57 - 55. Calculate the common denominator of -5 - -7 - 50*(-4)/z and -97/36.
36
Let k = -4471 + 49139/11. Calculate the common denominator of k and 53/8.
88
Let j be (-149)/(-540) - 1 - 1/(-4). Let z = 5809/1890 - j. What is the common denominator of z and 52/9?
126
Let l(g) = -3*g - 3. Suppose 3 = -5*n + 3*i, 3*n + 48 = -5*i + 19. Suppose -84 = -4*q - 12. What is the smallest common multiple of q and l(n)?
18
Let k(x) = 5 + 9 + 2*x**2 - x**2 + 0*x**2. Let s(u) = 4*u**3 - 6*u**2 + 5*u - 2. Calculate the smallest common multiple of s(2) and k(0).
112
Let f = -13426 - -939887/70. Find the common denominator of f and -97/12.
420
Suppose -24 + 0 = -s. Let z = s - 16. What is the smallest common multiple of z and 9?
72
Suppose -9 = -2*a + 7. Suppose 2*q - 46 + 30 = 0. Calculate the smallest common multiple of a and q.
8
Suppose -4*f = 3*f - 105. Suppose 342 = f*v - 12*v. What is the lowest common multiple of v and 10?
570
Suppose 204 + 96 = 6*l. What is the smallest common multiple of l and 12?
300
Let g = 1318/3 - 430. Calculate the common denominator of g and 73/9.
9
Let p = 14483/16952 - -13/326. Calculate the common denominator of p and -41/96.
1248
Let n = -2055 + 6916. Let s = n + -72851/15. Find the common denominator of s and 7/15.
15
Let f(m) = 10*m. Let k be -3 + -1 - (1 - 8). Let r be f(k). Let v = r - 21. Calculate the smallest common multiple of 1 and v.
9
Suppose 2*i - 5*i + 104 = -5*f, 0 = 4*i - 3*f - 124. Suppose -3*q - 4*b + 37 = 0, -b - 10 = 2*q - i. Calculate the lowest common multiple of 11 and q.
77
Calculate the least common multiple of 27 and (5 - 4)*-9*(0 + -1).
27
Let x(z) = z**3 - 5*z**2 + z - 22. Let p(s) = s**3 + 9*s**2 + 7*s - 4. Calculate the least common multiple of x(6) and p(-8).
20
Let m = 907 - 803. What is the smallest common multiple of m and 7?
728
Let n = -4946619340168 + 2214354147625199207/447650. Let s = n + -1573/1279. Let g = s + 53/25. Calculate the common denominator of g and -91/16.
112
Let o(b) = -3*b - 5. Let f(c) = c + 2. Let t(l) = -5*f(l) - 2*o(l). Let r be t(3). What is the smallest common multiple of 4 + -5 + r + 8 and 18?
90
Suppose -16 = -4*s + q, -2*s + 0*q + 10 = -q. Suppose 0 = -s*v + 4*a + 24, 5*v + 5*a - 77 = -2. Calculate the lowest common multiple of v and 24.
24
Let s = 59/2 - 61. What is the common denominator of -49/220 and s?
220
What is the common denominator of ((-4)/96)/(0 + (-14)/8) and -35/39?
546
Let p(w) = -w**3 + 7*w**2 + 9*w - 8. Let t be p(8). Suppose x + x + 10 = t. Let i = -1 - x. What is the lowest common multiple of 7 and i?
28
Suppose -94 - 6 = -5*u. Suppose 0 = s + g - 13 - 15, -5*g = s - 16. Let p = s - u. Calculate the least common multiple of 3 and p.
33
Let r(x) = x**3 + 6*x**2 - 8*x - 1. Let h = -2 + 20. Suppose -68 + h = -5*c. What is the smallest common multiple of c and r(-7)?
30
Let i = -40 + 67. Suppose -2*k + 0*v + i = -3*v, k - 21 = 4*v. What is the smallest common multiple of 9 and k?
9
What is the least common multiple of 27 and 5/15*9 - -6?
27
What is the common denominator of (-1)/48*(-1 + (-1629)/18) and 31/3?
96
Suppose -4*j + 144 = 4*m - 3*j, -2*j - 97 = -3*m. Suppose -p - 7 - 8 = -3*u, -21 = -3*u - p. What is the least common multiple of m and u?
210
Let v = 5484571/104 + -52737. Calculate the common denominator of 43/52 and v.
104
Let m(b) = 3*b**3 + 3*b**2 - 4*b - 4. Let n be m(-4). Find the common denominator of (-2)/12 + (3766/n)/(-7) and 89/26.
286
Let s(i) = i**3 - 2*i**2 + i - 1. Calculate the least common multiple of s(3) and (6/(-4))/(2/(-4)).
33
Let d(o) = -o**3 + 9*o**2 + 29*o - 95. Calculate the common denominator of 27/122 and d(11).
122
Let b = 2895/2 + -1492. What is the common denominator of -61/60 and b?
60
Suppose 9*x - 13*x + 228 = 0. Calculate the smallest common multiple of x and 3.
57
Let d = -3471584653/675792 + -68/42237. Let f = d - -5134. What is