 - f. Let y = 205 + -189. What is the least common multiple of k and y?
48
Let x be (2/(-5))/((-5)/(-75)). Let o = -46 - -25. Calculate the common denominator of 1 - 117/x - -3 and o.
2
Calculate the common denominator of (6/21)/(1/(-4)) and -5/4.
28
Calculate the smallest common multiple of -1 + 10/(1 + 1) and 9.
36
Let a = 11 + 23. Calculate the smallest common multiple of a and 14.
238
Let r = 63777113/372 + -171444. Let o = 2/31 + r. Let m = -6018 + 60107/10. What is the common denominator of o and m?
60
Let s(j) = 0*j - 2*j**2 - 5*j - j**3 - 5*j**2 + 8. Let k be s(-6). Suppose -10 - 18 = -k*l. What is the smallest common multiple of l and 6?
42
Suppose 3*w + 44 = 5*w. Let j = -13 + 15. What is the lowest common multiple of w and j?
22
Let m be (-1 + 21)*(-30)/(-25). Let i = m + -19. What is the least common multiple of i and 11/(-3)*(-2 + -1)?
55
Calculate the common denominator of -7/12 and 1206/(-12)*(-1)/(-3).
12
Let g = 2 - 3. Calculate the common denominator of (-244)/3*g/(-8) and 95/6.
6
Let q(x) = -2*x**3 + 21*x**2 - 9*x - 7. Let t be (-2 - 26/2)/(-1). What is the least common multiple of q(10) and ((-3)/5)/((-3)/t)?
3
Let q be ((-7)/2)/((-2)/24). Calculate the common denominator of 7/q + 44/3 and (-70)/(-6) + 1/4.
12
Let l be -1*(1*-11 - 0). Let k = 19 - l. Let f(c) = c**3 - c**2 - c - 1. What is the least common multiple of f(3) and k?
56
Let w = 2 + 0. Let t(o) = 3*o**3 - 2*o**2 + 3*o. Calculate the least common multiple of t(w) and 36.
396
Suppose 0*u + 1 = u, 0 = -2*j - 2*u + 42. Let a = -5 + 8. Suppose p - 3*m = -4*m + 14, -p - a*m = -6. Calculate the lowest common multiple of j and p.
180
Let s(d) = -18*d - 2. Let i be s(6). Let l be -2 + (2117/i - 1). Let p = l - -187/10. Find the common denominator of p and -43/11.
11
Let m(s) = 4*s**2 - 15*s + 8. What is the smallest common multiple of 11 and m(4)?
132
Let k be 328/(-40) + (-1)/(-5). What is the common denominator of (178/k)/((-1)/(-2)) and (-7)/(9/2*-1)?
18
Let b = 5 + 17. Let i(t) = t**3 + 6*t**2 + 5*t + 4. Let o be i(-4). Suppose 0 - o = -2*n. Calculate the lowest common multiple of b and n.
88
Let u be ((-6)/28)/(168/(-172602)). Let k = 2476/49 - u. Let c = k - -170. Find the common denominator of c and 79/2.
8
Let j = -254/19 + 4839/190. Suppose 4*u = -4 + 24. Find the common denominator of 23/u - (-1)/1 and j.
10
Suppose g + 3 = 5. Let u = -15089/9611 - 2/1373. Calculate the common denominator of u and g/12*(0 + 79).
42
Let h = -51 - -26. Calculate the common denominator of h/2 - 2/(-4) and 93/(-2)*28/(-63).
3
Let i = -6 + 8. Calculate the lowest common multiple of 4 and i/4*(22 + 2).
12
Let f be 0 - (2 + 1)/(-3). Calculate the common denominator of 79/6 and 350/88 + f/(-4).
66
Calculate the common denominator of -57/2 and -1 + (-332)/300 - 3/(-18).
50
Let f(t) = -t**3 - 9*t**2 + t - 5. Let u(s) = -s**3 - 10*s**2 + 2*s - 5. Let b(d) = 4*f(d) - 3*u(d). Calculate the smallest common multiple of b(-6) and 9.
63
Find the common denominator of (31/(-3))/((-32)/(-12) + -1) and 36/35.
35
Let a be 9*-27 + 3/(-3). Let u(p) = -p**3 - 7*p**2 + p + 9. What is the lowest common multiple of u(-7) and a/(-12) - (-1)/(-3)?
20
Let y = 5327/264 - 3772/33. Let u = y + 94. Find the common denominator of 113/10 and u.
40
Let t be ((-25)/(-296))/((-24)/1500). Let x = t + 45/37. What is the common denominator of x and -37/6?
48
Let f = -9 - -8. Let i be 51/9 + f/(-3). Suppose 0 = i*m - 2*m - 40. What is the lowest common multiple of 2 and m?
10
Let l = -595/4 - -452/3. Find the common denominator of -23/15 and l.
60
Suppose -5*h = 30 - 230. Suppose -3*j = -5*j + h. Suppose 7*m = 2*m + j. Calculate the smallest common multiple of m and 5.
20
Let p be 0 - (2 - (-4)/2). Let t = 7 + p. Let w(c) = c - 2. Calculate the least common multiple of w(3) and t.
3
Suppose -3*t = 9, -5*j + t - 6*t + 875 = 0. What is the lowest common multiple of 18 and j?
1602
Suppose -i - 2*i - 96 = 0. Let q = i - -92. What is the lowest common multiple of 4 and -3*(q/(-9) - 0)?
20
Let u = -54 - -114. Calculate the least common multiple of 3 and u.
60
Let g(p) = -p - 6. Let a be g(-6). Suppose -3*k - x - 27 = a, 2*k + k = -3*x - 27. What is the common denominator of (-6)/k - 156/45 and 74/9?
45
Let a(h) = 2*h - 8. What is the smallest common multiple of a(14) and 22?
220
Find the common denominator of -1 - (-1252)/420 - (-2)/5 and 4/27.
189
Let r = -13 - -2. Let m = 17 + r. Suppose 0 = -3*a + 3*s + 27, -s - 23 = -3*a - 0*s. Calculate the smallest common multiple of m and a.
42
Let w be 3/3 + (-24)/(-1). Suppose 0 = -4*a - a + w. Find the common denominator of 148/54*(a + -8) and -38/5.
45
Let c be ((-12)/8)/((-3)/(-32)). Let j = -6 - c. Calculate the smallest common multiple of 37/4 - 4/16 and j.
90
What is the common denominator of -59/12 and (-81)/52 + 2 - (-1 - -1)?
156
What is the lowest common multiple of (6/(-18))/(3/(-9)) and 7?
7
Let m = 7113/16 + -1761/4. What is the common denominator of 113/10 and m?
80
Let t(j) = 3*j + 28. Suppose 10 = -3*v - 5. Let y = v + 13. What is the least common multiple of y and t(-8)?
8
Suppose -3*q + 2*f + 34 = 0, -5*f + 3 = 4*q - 4. Calculate the smallest common multiple of q and 4.
8
Let u(o) = -o**3 + 2*o - 1. Suppose 2*i - 4 = 0, -1 + 7 = -q + 5*i. Suppose 1 = q*k - 3. Calculate the smallest common multiple of u(-2) and k.
3
Let v(k) = -k**3 + 9*k**2 + 11*k - 12. Let l be v(10). Calculate the least common multiple of 12 and (-21)/l*(-8)/(-12).
84
Suppose d - 3 = -2. Calculate the least common multiple of d and 14.
14
Let c = -91/15 + 8/3. Calculate the common denominator of c and -64/39.
195
Let b = -490 + 2472/5. Find the common denominator of b and -53/2.
10
Calculate the common denominator of (6/4)/(270/333) and (-1 - 0) + (-840)/(-64).
40
Suppose m - 20 = -0*i - 2*i, 2*i - 48 = -2*m. Suppose 4*t - 3*b + b = m, 4 = 2*b. What is the smallest common multiple of t and 2/6 - (-5)/3?
8
Suppose q - 12 = 5*m, 2*q - 26 = 5*m - 2. Let d = 52 + -25. Suppose d = 2*u - 13. What is the smallest common multiple of u and q?
60
Let w = 1/22 - -68/77. What is the common denominator of 123/10 and w?
70
Let w = 159 + -106. Find the common denominator of -3 + 1 - w/(-2) and -4 + -1*(-108)/8.
2
What is the common denominator of 29/10 and (-277)/(-72) + 1/(-8)?
90
Suppose 2*y + 0*y - 32 = 0. What is the least common multiple of y and 9?
144
Let i(t) = -3*t. Let r(d) = d**2 + 5*d - 3. Let o be 2/5 - (-54)/(-10). Let n be r(o). What is the least common multiple of i(n) and 6?
18
Let x = -125065009/380 - -329118. Let n = 243/38 + x. Calculate the common denominator of n and 75/8.
40
Suppose 2*y - 36 = 4*y. Find the common denominator of 3 - ((-2121)/y)/7 and -149/12.
12
Let a(f) = -2*f + 4. Let h be a(-3). Let d = h + -5. Suppose -2*s - 4*g + 34 = 0, 3*g = 4*s - 19 - 16. Calculate the lowest common multiple of s and d.
55
Let h(x) = x**3 + 13*x**2 + 11*x - 7. Let n be h(-12). Suppose -4*p - 25 = p, r + n*p + 21 = 0. Calculate the lowest common multiple of r and 2.
4
Suppose -4*l + 52 = -0. Let t be ((-2)/2008)/(30/(-260112)). Let r = -9/251 + t. Find the common denominator of l and r.
5
Suppose 2*v = 7*v. Suppose 4*a + a - 10 = v. Suppose 0 = -5*g - 5*p + 107 - 32, 4*p = a*g. Calculate the least common multiple of 9 and g.
90
Suppose -3*s = -2*u - 55, -4*s = s - u - 87. What is the least common multiple of 1 and s?
17
Suppose -h - 40 = -3*n + 14, 4*n = -3*h + 72. Calculate the smallest common multiple of 8 and n.
72
Let y(o) = -8*o**2 - 34*o - 2. What is the lowest common multiple of 11 and y(-4)?
66
Find the common denominator of -35/12 and (-270)/(-9)*(-4)/110.
132
Suppose -4*u - 3*m + 10 = 0, 5 - 19 = -u + 5*m. What is the smallest common multiple of u and 10?
20
What is the common denominator of 14/15 and (0 - (4 - 0))/((-285)/(-19))?
15
Calculate the common denominator of -143/6 and 186/34 + ((-28)/(-7) - 7).
102
Suppose 2*f - 6 = 0, f = -m - m - 11. Let o = -4 - m. Let b = 16 + -5. What is the least common multiple of o and b?
33
Let b = -2056 - -10321/5. Find the common denominator of ((-118)/4)/(4/1) and b.
40
Let b(p) = 2*p**2 + 17*p + 54. What is the least common multiple of 12 and b(-6)?
24
Suppose 0 = -5*b - 98 + 8. Let w = b - -36. What is the smallest common multiple of w and 14