-55/204. What is the common denominator of 1/20 and q?
220
Suppose 8*v - 3*v + 22505 = 0. Let s = v - -53921/12. Find the common denominator of s and 77/10.
60
Let a(o) be the third derivative of -2/3*o**3 + 0*o + 1/120*o**6 - 11*o**2 - 1/12*o**5 - 5/24*o**4 + 0. What is the least common multiple of a(6) and 12?
12
Let i(q) = 2*q**2 + 2*q - 1. Let x be i(-2). Let w = x - 3. What is the least common multiple of 7 and (-1 + w)*(-9 + 4)?
35
Let a be ((-950)/1125)/((-8)/(-10)). Let z = a - 385/36. Find the common denominator of z and (1/2)/((-14)/88).
28
Find the common denominator of -65/93 and (-12)/(-10) + -1 + 2874/(-720).
744
Let t(d) = 18*d**2 - 6*d + 1. Let h be t(-6). Calculate the common denominator of h/50 - 2*2 and -145/18.
90
Let k = 244 + -232. Calculate the least common multiple of 18 and k.
36
Let t be -4*(-1)/(-6)*(-5496)/(-20). Let l = t - -7683/40. What is the common denominator of l and ((-27)/4 - -1)/(-4)?
16
Let r(j) = -j**3 - 7*j**2 - 6*j - 8. Let u be r(-6). Let t = u + 11. Calculate the common denominator of -11/8 and t - (-63)/(-5) - -3.
40
Let x be -1805 - 5/(15/9). Let q = 25325/14 + x. Calculate the common denominator of q and -25/6.
42
Let z = -105893/18 + 5885. Calculate the common denominator of 19/60 and z.
180
Let m(h) = h**2 - 10*h + 1. Let s be m(10). Let w = s + -3. What is the smallest common multiple of (w - (0 - 1))*-4 and 4?
4
Suppose 383 = 5*o + q, -2*o - 4*q - 61 = -225. Suppose -r - 4*d + 14 = 0, -8*r + 3*r + 4*d + 118 = 0. Calculate the smallest common multiple of r and o.
836
Let x = -46091/135 - -1698/5. Let u = 7727 + -231779/30. What is the common denominator of x and u?
270
Suppose 2*s = -s + 378. Find the common denominator of (148/(-96))/((-3)/12*3) and 141/s - (-2)/(-7).
18
Let g = -106669894 + 3307329409/31. Let t = -18149 + g. Let m = t - -919/93. What is the common denominator of 67/8 and m?
24
Suppose -5*c + 76 = 5*h - 144, -3*c - 220 = -5*h. Let i = -707 + 717. What is the lowest common multiple of i and h?
220
Suppose 4*h + 61 = 85. What is the least common multiple of 146 and h?
438
Suppose 129 = 8*p + 1. What is the smallest common multiple of p and 8?
16
Let c = 5/6452 + 138583/174204. What is the common denominator of c and 15?
54
Suppose 0*t = 5*t - 110. Suppose 0 = -2*n - 5*o + 26, -5*n + 105 = o - 6. Let y = n - t. Calculate the lowest common multiple of y and 7.
7
Suppose 3 = -z + 7. Suppose -2*p + 0*p + 98 = w, -3*p = z*w - 372. What is the common denominator of 32/9 and -2 + 0 - (-99)/w?
90
Let s(h) = 2*h + 218. What is the least common multiple of 125 and s(16)?
250
Let w be (1 - -2 - 4) + (-4427)/(-30). Let t = -443/3 + w. Find the common denominator of t and 51/20.
20
Let o(y) = -y**3 - 7*y**2 - 21*y - 60. Calculate the lowest common multiple of (-1)/1 + 68/2 and o(-6).
330
Let g(f) = -5*f**2 - 19*f - 1. Let l(p) = -9*p**2 - 37*p - 1. Let h(a) = -5*g(a) + 3*l(a). What is the least common multiple of h(-8) and 8?
8
Let k be (-5)/(-3)*(-60)/(-50). Suppose -2*j + 2*y + 40 = 6*y, 3*j + k*y - 60 = 0. Calculate the common denominator of -25/8 and (-14)/(-35) - (-357)/j.
8
Let r(y) = 6*y - 4. Suppose -5*z = -7 + 37. Let b be r(z). Find the common denominator of (390/b)/(33/10) and 3/2.
22
Suppose -124 = -2*s - 4*y, 3*y + y + 380 = 5*s. What is the least common multiple of s and 4?
72
What is the common denominator of -113/6 and ((0 - -1)/(-1))/((-12)/474)?
6
Let b(p) be the second derivative of p**5/20 - 3*p**4/4 - 4*p**3/3 - 6*p**2 + p. Let d be b(10). Calculate the common denominator of (4/d)/((-8)/68) and 25/22.
44
Let b be ((-117)/(-18))/((-2)/4). Let p(a) = a + 19. What is the smallest common multiple of p(b) and 6?
6
Suppose 16 + 24 = -4*s. Let d = -405 - -1165. Calculate the common denominator of 52/7 and ((-4)/s)/((-8)/d).
7
Let w(g) = -6*g + 136. What is the least common multiple of 14 and w(1)?
910
Suppose -156 = 4*b - 10*b. Let x = -24 + b. Suppose -4*n = 4*i - 140, i - x*n = 4 + 16. What is the smallest common multiple of i and 18?
90
Let r(m) = 5*m + 2. Let q be r(-1). What is the common denominator of q - 1 - (-651)/56 and 125/18?
72
Let c = 87017/42810 + 1/1427. Calculate the common denominator of c and 94/45.
90
Let d = -14097/8 - -1759. Find the common denominator of ((-36)/(-336))/((-108)/525) and d.
48
Let d = 49 - 39. Suppose 55 = 5*s - 3*p - 0*p, 2*p = -2*s + 6. What is the smallest common multiple of d and s?
40
Let f = -226 + 376. Calculate the least common multiple of 3 and f.
150
Let z be 2/1*(-35615)/60. Let o = -1165 - z. Calculate the common denominator of 9/10 and o.
30
Let f be (-1 - -148368)*4/(-72). Let q = f + 8239. Find the common denominator of q and 17/6.
18
Calculate the least common multiple of 162 and 90/(-21)*((-70)/15 - 0).
1620
Suppose -215 = -13*v - 72. Let a = -7 - -13. Calculate the smallest common multiple of (a - -1) + 1 + -2 and v.
66
Suppose 585 = 5*j + 4*v, -2*v + 5*v - 580 = -5*j. Calculate the lowest common multiple of 4 and j.
452
Let f = 5 + -5. Suppose f = -2*o + 11 + 19. Calculate the least common multiple of o and 30.
30
Let z = -646 - -647. What is the least common multiple of z and 10?
10
Calculate the common denominator of (-3381)/(-306) - (2 + 72/(-34)) and 43/42.
42
Let k be ((-1)/(-3))/((-17)/(-459)). Calculate the common denominator of ((-6)/k)/(1/(-2)) and -35/8.
24
Let j(g) = g + 20. Let i be j(-14). Calculate the lowest common multiple of 6/4*64/i and 4.
16
Let s = 3274231/48 - 68210. What is the common denominator of s and -43/132?
528
Suppose 0 = 11*p - 681 + 197. Calculate the smallest common multiple of p and 8.
88
Let p(g) = 8*g + 2. Let y be p(2). Suppose -4*f - 3*k + 10 + 3 = 0, -y = f + 5*k. Let i = -10 - -20. Calculate the lowest common multiple of f and i.
70
Find the common denominator of 7/24 and (184/30 + -6)*-65.
24
Suppose 0 = -j - j. Suppose -3*a - 3*c + 32 = -2*a, j = -4*c - 16. Suppose 2*t - a = -2*t. Calculate the lowest common multiple of t and 10.
110
Let k be (-24)/(-10)*2595/(-6). Let h be (8/6)/(4/k). Calculate the common denominator of (-16)/(-56) - h/(-280) and -25/18.
180
Find the common denominator of (-816)/36*(-3)/24*-2 and 95/18.
18
Let z(k) = 13*k**2 - 5*k - 2. Let l be z(-2). What is the smallest common multiple of l/14*(-56)/(-12) and 16?
80
What is the lowest common multiple of 10 and 108 + (0 - (-4 + (-16)/(-2)))?
520
Let v = -59 - -83. Let b = -3 + v. What is the smallest common multiple of (-99)/(-8) - b/56 and 2?
12
Calculate the common denominator of 3/(-6) - (-324)/(-80) and -57/106.
1060
Let x(v) = -v - 1. Let c be x(-21). Let y be -4 - (0 - 28155/c). Let w = 1417 - y. Find the common denominator of 45/38 and w.
76
Let a(u) = 12*u - 2. Suppose -3*h - 33 = -39. Suppose -4*r + 68 = 5*v, -76 = -4*r - 6*v + 3*v. What is the smallest common multiple of r and a(h)?
22
Let k be 335/295 + (0 - 1). Let b = -461/354 + k. Calculate the common denominator of b and 117/20.
60
Let w(h) = -2*h + 19. Let i be w(9). Let v be (-3 + i)*78/(-12). Let k = v - 10. Calculate the least common multiple of k and 3.
3
Find the common denominator of (-438)/(-28) - 6 - 7 and 11/8.
56
Let w be 12/(-30) + 4/10. Let k = 401/154 - 30/77. Calculate the common denominator of w + (-235)/(-190)*1 and k.
266
Suppose -71 = -z - 4*p, -228 = -20*z + 16*z - 2*p. Calculate the lowest common multiple of 30 and z.
330
Suppose b = 2*j - 3*b - 28, 0 = 4*b - 8. Let y = -1 - 5. Calculate the common denominator of (3 - -1)/(7/(259/j)) and y.
9
Calculate the least common multiple of (2 - 16/7) + 3458/98 and 70.
70
Let h be ((-62)/4)/(8/(-16)). Let l = h - 27. Let y = -3 - -7. Calculate the least common multiple of l and y.
4
Suppose -2*v - 122 = -4*i, 5*i + 2*v = v + 149. Let y = i + -25. Suppose 0 = -r + 32 - 5. What is the smallest common multiple of r and y?
135
Let g = -113 + 102. Let f = 9 - g. Suppose -5*o = -3*y + 45, -3*y + 77 = y - o. What is the smallest common multiple of y and f?
20
Let j be (-5)/((-40)/4) + (-18490)/(-808). Let g = -64/101 + j. Find the common denominator of g and -3/46.
92
Calculate the smallest common multiple of 139/5 + -1 + (-57)/(-285) and 5.
135
Let m be 129/4 + (-6 - 138/(-24)). What is the smallest common multiple of m/(-5)*(-20)/8 and 2?
16
Let m be -2*-1*2/4. Let n(k) = 6*k**3 - 1. L