**2 + 1. Let l be p(1). Let z be (l - 3) + -1 + 6. Find the common denominator of 1846/(-585) - z/(-10) and 53/3.
9
Let d = 1845/2002 - -3/91. Let y = -555068793 - -131078384733671/236148. Let v = -1/5367 + y. What is the common denominator of v and d?
44
Calculate the common denominator of (-29 - -31)*19/(-48)*-7 and 47/12.
24
Let m = 2308441831/24 + -96214728. Let s = 29656 + m. What is the common denominator of -107/6 and s?
24
Calculate the smallest common multiple of 33 and 166/7 + (-24)/(-84).
264
Let p = -147395 + 1766963/12. Let v = p + 157. Calculate the common denominator of v and -77/2.
12
Let k = -362 + 372. Calculate the lowest common multiple of k and 3/((-1)/8*-4).
30
Suppose 0*g - 2*g = -8. Let u be 2/5 - (-527)/(-155). What is the least common multiple of g and (0 - (-60)/(-8))*4/u?
20
Suppose -4*k + b + 118 = 3*b, 2*k - 4*b = 44. What is the smallest common multiple of k and 34?
476
Suppose -4*v + 856 = 4*w, -10*v = -4*w - 8*v + 868. What is the lowest common multiple of 16 and w?
432
Let x = -8382650/123 - -68152. Find the common denominator of -85/12 and x.
492
Let c = 1770689/2029290 + -1/59685. Find the common denominator of c and -87/20.
1020
Suppose 2*z - 5*x = -173, -389 = 5*z + 4*x - 2*x. Calculate the least common multiple of 4 and z/(-7) + 16/(-56).
44
Let o = -27 + 33. Suppose 73 = o*i - 47. What is the lowest common multiple of i and 22?
220
Let n = 45 + -39. Let z = -295/2 + 151. Find the common denominator of (-23)/2 + n + (-210)/36 and z.
6
Let q = 647 - 560. Calculate the smallest common multiple of q and 11.
957
Let t = -50 + 66. Let i = t - 6. Calculate the lowest common multiple of i and 6.
30
Let y = 53 - 45. Suppose -2*i - 28 = 3*h - 4*h, 5*i = -4*h + 164. What is the least common multiple of y and h?
72
Let j = 193331/18 - 10734. Calculate the common denominator of j and -41/24.
72
Let n = -4088 + 49013/12. Let a = -7748/27 + 287. Find the common denominator of a and n.
108
Suppose 3*d + 24 = -d. Calculate the common denominator of 3 + 0 - 354/(-72) and ((-22)/66)/((-44)/d).
132
Let i = 142 + -135. Calculate the smallest common multiple of i and 17.
119
Let b(w) = -w**2 + 8*w - 7. Let g be b(6). Suppose -q - 80 = -g*q. Let t(d) = d**2 + 23*d + 24. What is the lowest common multiple of q and t(-22)?
20
Let v = 12181765 + -219348161/18. Let s = 4251 + v. Find the common denominator of -15/22 and s.
198
Let w(m) be the second derivative of -3*m**5/4 + m**3/6 + m**2 - 36*m. Calculate the smallest common multiple of w(-1) and 4.
16
Let k = 116 - 112. Calculate the lowest common multiple of k and 1.
4
Let b(l) be the second derivative of 0 + 1/3*l**3 + 5/4*l**4 - 3*l - 1/2*l**2. What is the least common multiple of 20 and b(1)?
80
Suppose 4*g - l + 5*l + 56 = 0, -g - 19 = 2*l. Calculate the smallest common multiple of 139 and ((21/g)/7)/(1/(-30)).
1390
What is the common denominator of ((1496/2752)/11)/((-3)/20) and -181/30?
1290
Let j = -432 - -468. What is the least common multiple of 315 and j?
1260
Let n = -31/127 + -5101/3556. What is the common denominator of 19/4 and n?
28
Let b be (504/(-5))/((-3)/20). Suppose -4*j - b = k, -4*j + 3*j + 1371 = -2*k. Find the common denominator of 14/10*90/k and -61/14.
266
Let s(v) = -v**3 - v**2 - v + 1. Let k be s(-1). What is the common denominator of 1 + (-308)/8 - k and -46/9?
18
Let i(r) = -6*r - 40. What is the lowest common multiple of i(-8) and ((-1)/3)/(7/(-252))?
24
Let i(m) = m**3 - 23*m**2 + 98*m + 76. Calculate the smallest common multiple of (-3)/6 + 34/4 and i(17).
8
Let g(w) = -2*w + 22. Let b be g(-7). Suppose 0 = b*a - 32*a - 56. What is the smallest common multiple of a and 20?
140
Suppose 4*q + 5*v - 40 = 41, 2*q = 2*v + 36. Let m = q - -1. What is the least common multiple of m and 42?
420
Let d be 110/40 - (1 - -1)/(-8). Suppose -d*h + 116 = h. Calculate the least common multiple of 11 and h.
319
Let l(x) = x**2 - 16*x + 73. Suppose 0 = 5*f - 4 - 46. Calculate the least common multiple of f and l(11).
90
Find the common denominator of 39/10 and (-38)/(-133) + (-576)/(-238).
170
Let i = 1524 + -1218. What is the lowest common multiple of 238 and i?
2142
Let v be -1 + 2 + -6 + 1. What is the common denominator of (-294)/(-30)*(-10)/4 and (-78)/(-16) + (v - -3)?
8
Let v(q) = 3*q - 33. Let t be (5 - 1)*((-85)/4)/(-5). Calculate the least common multiple of v(t) and 22.
198
Let q(u) be the first derivative of u**2/2 + 21*u - 15. What is the lowest common multiple of 22 and q(-15)?
66
Let i = 35310151/186 - 189840. Calculate the common denominator of -23/165 and i.
10230
Let u = -28211 - -1241359/44. Find the common denominator of 11/12 and u.
132
Suppose 3*w + 4*f - 325 = -77, 0 = 4*w - 4*f - 368. What is the lowest common multiple of w and 77?
616
Suppose -3*w = -g - 4, g + 4 = 2*w + 2*w. Suppose 0 = f - 2, 5*f = -x + 25 - 0. Suppose w = -2*z + x + 21. What is the least common multiple of 14 and z?
126
Calculate the common denominator of -119/12 and -5 + -4 + 306/15.
60
Let o(p) = 8*p**2 - 12*p + 36. Calculate the least common multiple of o(5) and 160.
1760
Suppose 27*y - 29*y + 26 = j, -4*j + 69 = 3*y. Suppose 5*k - 263 + 75 = -2*z, 3*z = -5*k + 272. What is the least common multiple of j and z?
84
Suppose -244 = 5*c + 2*y - 0*y, c + 44 = -2*y. Let x = c - -62. What is the lowest common multiple of x and 16?
48
Suppose -5*h + 20 + 55 = 0. Calculate the least common multiple of h and 75.
75
Calculate the common denominator of -139/48 and (-4 + (-316)/(-80))/(80/(-3650)).
96
Suppose 5*o - 2 = z, 2*z = -2*o - 40 - 24. Let f be z/12 - 6/8. Find the common denominator of (f/48)/((-1)/(-98)) and 137/18.
72
Let f(c) be the first derivative of -63*c**2/2 + 9*c - 1. Let d be f(8). What is the common denominator of -9/10 and 1/3 + d/(-27)?
30
Let p = -12977/1598 - -325/47. Let o = -79 - -35. What is the common denominator of p and (107/(-3))/(o/(-6))?
374
Find the common denominator of -149/174 and 826/(-36)*357/8330.
1740
Find the common denominator of 278/36 + (2/3)/2 and 91/304.
2736
Let t(u) = -56*u + 252. Calculate the least common multiple of t(4) and 16.
112
Let u(i) = -164*i - 1308. Let b be 2/8 + (-57)/(-12). Suppose -b*f = -2*r - 25, 0*r = -4*f + 5*r + 3. What is the smallest common multiple of f and u(-8)?
28
Let c = -4921/4 - -1243. Find the common denominator of (6/(-8))/((-1)/(-134)*-6) and c.
4
Suppose 4*o + 3*i = 2, 4*i - 7 = 4*o + 5. Let f be (4/(-6))/((-4)/(-6)). What is the common denominator of f - o - (-51)/54 and -19/16?
144
Let x = -21607 - -13283. Let z = -166591/20 - x. Calculate the common denominator of 1 - (15/(-48))/(-1) and z.
80
Suppose 3*w + 36 = 7*w. Calculate the smallest common multiple of w and 9.
9
Find the common denominator of -103/168 and 1 - (8 - 1393/126).
504
What is the smallest common multiple of 4 + 384 + -1 - -9 and 20?
1980
Let t be 1*(-2)/3*(-11082)/24. Let s = t - 318. Let r = 1476 + -29437/20. What is the common denominator of s and r?
60
Let k = 23 + -16. Let c = k - -4. Calculate the least common multiple of c and 10.
110
Let u(m) = 2*m**2 + 6*m - 6. Let n be u(-5). Let q = -8 + n. What is the smallest common multiple of (2 - q/4)*36 and 20?
180
Let h = -8142 + 146419/18. What is the common denominator of h and 4 + (-57)/(-18) + 10/(-8)?
36
Let x = 105949/36 - 11751/4. Calculate the common denominator of x and -5/106.
954
Let s = -3/2162 + 44339/12972. Find the common denominator of s and 2/8*(-49)/2.
24
Suppose -5*s = -3*a + 53, 0 = -18*s + 21*s + 3. What is the smallest common multiple of a and 124?
496
Let v = 5 + -15. Let f = -13 - v. What is the common denominator of -59/4 and f + ((-1284)/32)/(-3)?
8
Suppose 0 = 5*v - 9 - 31. Let t = v + 14. What is the least common multiple of 22 and t?
22
What is the common denominator of (56/(-30))/((-6)/5) and (-10)/(-50) - 2/(((-450)/395)/(-6))?
9
Suppose -4*y = 0, 3*y + 2*y = -3*g + 6. Let s = g + 18. Calculate the least common multiple of s and 16.
80
Let n be -3 + ((-51357)/(-18) - 1). Let b = n - 2833. Let d = -5471/63 - -639/7. What is the common denominator of b and d?
18
Let y be 2 + (-2)/4 + 204906/(-72). Let f = y - -2850. Find the common denominator of f and -119/12.
12
Calculate the common denominator of ((-5)/((-450)/24))/(4/(-130)) and -53/26.
7