
42
Suppose 0 = -3*f - 3*r + 21, 17 = f - r + 4*r. Let q(z) = -3*z. Let p(w) = -7*w. Let k(s) = f*p(s) - 5*q(s). What is the least common multiple of k(2) and 12?
12
Let a = -38157 - -4349953/114. Calculate the common denominator of a and -34/15.
570
Let c be 1*((5 - -3) + -1). Let w = 7 - c. What is the lowest common multiple of 3 - 5 - (w - 16) and 12?
84
Suppose 0 = -o - o - 2. Let x = 12 - o. Suppose 0*z + z - r = x, -53 = -4*z + 5*r. Calculate the lowest common multiple of 12 and z.
12
Suppose -5 = -4*h + 51. Suppose -5*j = -76 - h. Suppose t - j + 4 = 0. Calculate the least common multiple of t and 20.
140
Suppose 0 = -35*l + 9182 - 2357. Calculate the smallest common multiple of l and 150.
1950
Let q = 6657/8 + -830. Calculate the common denominator of q and ((-28)/(-20))/((-8)/(-70)).
8
Let s = 27 - 34. Let t(o) = o**3 + 9*o**2 + 8*o - 12. Let k be t(s). Let n = -21 + k. Calculate the lowest common multiple of n and 1.
9
Let g = 526 + 193. Let i = 4327/6 - g. Calculate the common denominator of i and 15/74.
222
Let t = 255 + -147. What is the lowest common multiple of 84 and t?
756
Let p be (23 - 5)*(-8)/(-6). Suppose 7*h - p = h. Calculate the least common multiple of h and 20.
20
Suppose 24 = g + 7. Let k = 20 - g. Suppose -10*n = -7*n - 27. What is the smallest common multiple of k and n?
9
Let t = 16095 + -1416385/88. Let d = t + 2281/440. Find the common denominator of d and -71/10.
10
Let d = -296 - -299. Suppose -17 + 2 = 5*a. What is the smallest common multiple of d and (2/a)/(10/(-105))?
21
Suppose 129 - 97 = 8*l. Let w = 4 - 3. Let a(j) = 6*j. Calculate the smallest common multiple of a(w) and l.
12
Let f(h) = 66*h + 66. Let o be f(16). Calculate the common denominator of 25/6 and o/(-605)*1/(-3)*-5.
66
Suppose -5*n - 2 = -17. Suppose -5*g - 3*y = -45, -6*g + 2*g + n*y + 9 = 0. Find the common denominator of 3/g - (-24)/10 and -105/22.
110
Suppose -3*i - 113 = 5*b, 0*b + 85 = -4*b + 3*i. Let o be (-100)/8*(-12)/5. Let n = b + o. What is the smallest common multiple of n and 12?
24
Let s(d) = -5984*d**3 - d**2 + d + 1. Let v be s(-1). Let o = v + -203357/34. Find the common denominator of o and -113/12.
204
Let b = 13/27 + -259/108. Find the common denominator of b and -41/76.
228
Let f(w) = -w**3 + 9*w**2 - 7*w - 10. Let k be f(8). Let t = -653/4 - -2129/12. What is the common denominator of (-304)/(-132) + k/(-6) + -1 and t?
66
Let g = 1110 - 1066. What is the lowest common multiple of 4 and g?
44
Let u = -134 - -224. Suppose -5*f + 4*g = -1062, -g - 123 = -f + u. What is the lowest common multiple of 14 and f?
210
Let c = 7 + -3. Let r(j) = 0 - 7*j + 12*j + 3 - 5. Calculate the least common multiple of r(c) and 10.
90
Suppose v + 43314 - 43326 = 0. Suppose -3*q + 30 = 2*q. Calculate the least common multiple of q and v.
12
What is the common denominator of -13/12 and 904/64*28*3/147?
84
Let g(l) = 52*l - 37. What is the smallest common multiple of g(4) and 30?
1710
Let v = -13 + 12. Let l be (-1)/v - (-12)/(-6). Calculate the common denominator of (1/l)/(10/37) and 9/16.
80
Suppose 62 = 2*v - 22. What is the least common multiple of 35 and v?
210
Let a(u) = -2*u - 8. Let n be a(-10). Suppose 9*m - n*m = -39. What is the smallest common multiple of 2 and m?
26
Let a = -175359/385 + 3190/7. What is the common denominator of a and 49/20?
220
Suppose 5*f = -j + 40, j + 6*f - 24 = 9*f. Calculate the lowest common multiple of 45 and j.
90
Let a = -10 - -17. Let l = -414453/22 + 18835. Calculate the common denominator of l and a/(-35) + 34/60.
330
Suppose 2*o - 3*o + 83 = -t, 4*o - 2*t = 322. Calculate the smallest common multiple of 9 and o.
234
Suppose -3*v - 20 = 2*v. Calculate the least common multiple of (-36)/(-24) - (-2)/v and 8.
8
Suppose 0 = 4*q - 2*t - t - 81, 4*q = -2*t + 66. Suppose w - c = -1, -3*c = -2*w - 1 - 5. Calculate the smallest common multiple of q and w.
18
Let t be (0 - 1) + 1549*(-2)/1240. Let i = t + -121/62. Let v = 7832 + -109565/14. What is the common denominator of i and v?
140
Suppose -408 = -3*b - 4*f, 2*b - 167 - 100 = -f. What is the least common multiple of 12 and b?
132
Let o(a) = -a**3 - 11*a**2 - 10*a + 2. Let n be o(-10). Let p be 4*(-1)/n*1. Find the common denominator of -113/10 and -1*(-41)/(-14)*p.
70
Suppose 0 = 12*d - 9*d - 21. Suppose 20 = 2*r - 2*n, -3*r + 5*n = -0 - 40. What is the lowest common multiple of r and (1 - -3) + -8 + d?
15
Let o be (3/((-18)/4))/((-20)/150). Suppose -4*b = o*x - 77, 0 = -3*b + 3*x - 4*x + 55. Let d = 36 + -18. Calculate the lowest common multiple of d and b.
18
Find the common denominator of ((-4)/324)/(2/225*-6) and 59/18.
108
Let d(c) = -c**3 + 5*c**2 + 6*c + 2. Let v be d(5). What is the common denominator of (-6)/12 + 186/v and (207/(-42))/(-3) - -2?
112
Let a(h) = -h**3 - 5*h**2 + 3*h + 3. Let i(m) = 6*m**3 + 24*m**2 - 14*m - 14. Let q(v) = -11*a(v) - 2*i(v). Calculate the lowest common multiple of 2 and q(6).
2
Let p = 20063/12 + -1670. Let u = 61234/27 - 2267. Calculate the common denominator of p and u.
108
Let u(m) = 2*m**2 - 22*m - 10. Calculate the least common multiple of u(12) and 40.
280
Let c(k) = -k**3 - k**2 - k. Suppose 2*y - 54 = -i, 3*i = 5*y - 105 - 30. What is the lowest common multiple of c(-3) and y?
189
Let z = 18 - 32. Suppose 2*j = h + 14, 0 = -4*h + 3*j - 0*j - 31. Find the common denominator of z and (-16)/h*27/(-14).
7
Let d(v) = -208*v + 34. Let x be d(6). Let t = 2477/2 + x. Let i = -2/127 + -1256/889. Calculate the common denominator of t and i.
14
Calculate the smallest common multiple of 772 and (-4)/34 - (-412)/34.
2316
Find the common denominator of 42/11 and (12/210)/((-1)/(-125)).
77
Calculate the common denominator of (-11 - (-48)/6)/((-10)/19) and (84/(-62) - -1)/(-2).
310
What is the common denominator of 3*(-638)/(-693) - 3/4 and 41/12?
84
Let t = -5254 - -257458/49. Calculate the common denominator of t and -62/35.
245
Calculate the lowest common multiple of (2/7)/((-10)/14)*-75 and 9.
90
Let q = 36382410888823/5964 + -6100337156. Let i = -5/1988 - q. What is the common denominator of i and -1*(0 + 126/10)?
30
Suppose -286 + 97 = -9*a. Find the common denominator of (1 - 61/66)/(a/567) and (-33)/(-10)*22/6.
110
Suppose 36 = 5*r - 14. Suppose 0 = -8*n + 9 + 63. Calculate the least common multiple of r and n.
90
Suppose 4*f + 5*d = -24, 3*f = 3*d - 8*d - 18. Find the common denominator of (2/f)/((-2)/(-79)) and 101/2.
6
Calculate the lowest common multiple of ((-150)/120)/(1/(-4)) + -4 and 96.
96
Let t(m) = -2*m - 6. Let b be t(-7). Find the common denominator of -101/12 and 809/88 + b/44.
24
Let u be 4/(24/705)*10. Suppose -5*y = 910 + u. Calculate the common denominator of (y/15)/((-60)/25) and -59/6.
12
Let n = -591 + 5883/10. Find the common denominator of n and (2/(-4)*111)/(-9).
30
What is the common denominator of 8/(-18)*(-885)/160 and -155/264?
264
Suppose 2*a - 11 - 1 = 0. Suppose -4*g + 2 = a. What is the least common multiple of 8 + -1 - (0 + g) and 5?
40
Let w(a) = 78*a**3 + a**2 - 4*a + 1. Let z = 5 - 1. Let v be w(z). Let f = v - 29833/6. Calculate the common denominator of f and -1/2.
6
Let x(y) = y**3 - 4*y**2 + y + 3. Let z be x(3). Let g = -1/121 - 7011/847. Find the common denominator of -2 + (-186)/(-28) + z and g.
14
Let h be (-4 - (18 + 5)) + 3. Let p = h + 28. What is the lowest common multiple of 14 and p?
28
Suppose -3*h + 267 = -0*h. Let x = 48 - h. Calculate the common denominator of ((-11)/165)/(14/1855) and x.
6
Let g be (-4 - -3) + (-104)/4. Let y = -27 - g. What is the common denominator of (-13 + y)*35/28 and -11/10?
20
Suppose -24*w + 143 + 49 = 0. What is the least common multiple of 46 and w?
184
Calculate the lowest common multiple of 8/(-20) + (-44)/(-10) and 65.
260
Calculate the lowest common multiple of 7 and 0 + 4 + (6 - 798)/(-8).
721
Find the common denominator of -14/123 and (-49)/(-18) - (6 - (-1 + 2)).
738
Let a = -3697157/88 + 42014. Calculate the common denominator of a and 4/(-10) + (-77)/(-30).
264
Let p(u) = u**2 + 4*u + 1. Suppose 11*v - 58 = 52. What is the least common multiple of p(-4) and v?
10
Suppose -5*d + 7 + 3 = 0. Let s(v) = v**2 - v + 2. What is the lowest common multiple of s(d) and 6?
12
Let z = 210 - 1283/6. What is the common denominator of 