6
Suppose -4*y = 2*f - 7*f + 76, -4*f = -5*y - 68. Calculate the least common multiple of 19 and (-6)/f + (-30)/(-4).
133
Let x = -7/158 + -5467/1422. What is the common denominator of -16/19 and x?
171
Suppose -2*w = q - 4, w + q - 7 = -2*w. Let t(z) = -z**3 + 7*z**2 + 5*z - 3*z**2 - 2*z**2 - z - 4. Find the common denominator of -119/6 and t(w).
6
Suppose -4*y + 5 - 1 = 0. What is the common denominator of (170/(-8) - y) + 0 and -22/5?
20
Suppose 2 = a - 0. Suppose -i = -a*i. Suppose -4*q + 31 + 9 = i. Calculate the lowest common multiple of 4 and q.
20
Suppose 0 = -4*a + 9*a - 80. What is the smallest common multiple of 32 and a?
32
Let q = 4/4299 - -93121/25794. Find the common denominator of q and -2 - ((-89)/(-6) + 0).
18
Let z(d) = -d**2 + 21*d - 53. What is the smallest common multiple of 3 and z(6)?
111
Let s = 5377 + -53649/10. Let f(a) = a**3 - 4*a**2 - 5*a + 2. Let j be f(5). What is the common denominator of s and j/(-3)*(-726)/(-40)?
10
Suppose -3*b - 4*m = -4, -m + 1 + 2 = b. Suppose -3*f + g = -62, 0*g = -g - 2. What is the smallest common multiple of f and b?
40
Let d = 61148/35 + -10334/5. Let m = d - -322. Let f = -213/14 - m. Find the common denominator of f and -17/10.
10
Let p = 3 - -2. Let u(c) = c**3 + 5*c**2 + 3*c + 3. What is the lowest common multiple of u(-4) and p?
35
Let w(u) = -7*u. Let r(b) = 3*b - 17. What is the lowest common multiple of r(7) and w(-1)?
28
Let l = 26 + -17. Suppose c - 3*j - 15 = 0, 12 = 6*j - 2*j. Let r = c + -14. Calculate the smallest common multiple of r and l.
90
Let p = -500 - -2132. Let j = 13003/8 - p. Calculate the common denominator of j and 47/8.
8
Let b = -79 + 89. What is the least common multiple of 3 and b?
30
Suppose 0 = 3*c + 3*k - 57, -5*c - k + 85 = 2*k. What is the smallest common multiple of c and 8?
56
Let y = 1934/35 - 468/7. Find the common denominator of -20/11 and y.
55
Let f(w) = -3*w + 3. Let j be f(-5). Let u = j + -30. Find the common denominator of 7*2*u/80 and 33/10.
10
Let t(s) = -s**2 + 3*s + 3. Let j be t(3). Let m(v) = 5*v - 4. Calculate the least common multiple of 13 and m(j).
143
Suppose 2*q - 1 = 11. Calculate the lowest common multiple of 3/(-15) - (-41)/5 and q.
24
Let g = -45 - -93. Calculate the lowest common multiple of 4 and g.
48
Suppose 34 = s + l, -2*s - 3*l = -4*l - 68. Let v = s + -16. What is the lowest common multiple of 12 and v?
36
Let d(l) = -l**3 + 2*l**2 + 2*l - 2. What is the lowest common multiple of 10 and d(2)?
10
Suppose -2*p + 12 = -5*g - 3, 33 = 3*p + 3*g. What is the least common multiple of 52 and p?
260
Let c(p) = p**3 + 9*p**2 + 2*p - 8. Calculate the least common multiple of c(-8) and 36.
360
Let t(q) be the first derivative of -1/4*q**4 + 7/2*q**2 - 5 + 4/3*q**3 - 2*q. What is the smallest common multiple of 8 and t(5)?
8
What is the common denominator of 2 - (2/7 - (-6632)/(-672)) and -83/33?
132
What is the smallest common multiple of (252/49)/(6/28) - 0 and 30?
120
Let i(b) = b**2 - 7*b - 3. Let t be i(8). Let m = -15 + 23. What is the lowest common multiple of m and t/2 - 13/(-26)?
24
Suppose 6*k - 9 = 3*k. What is the lowest common multiple of 8 and k?
24
Let p be ((-623)/(-52))/((-1)/(-8)). Let b be -1 - (20001/208 - 0). Let i = p + b. Find the common denominator of i and -1/12.
48
Let x = -1072 + 577. Let g = 4463/9 + x. What is the common denominator of -16/3 and g?
9
Let g(z) = -2*z + 1. Let r be g(2). Calculate the lowest common multiple of (6/4)/(r/(-18)) and 3.
9
Calculate the common denominator of -50/3 and ((-213)/(-8))/((-90)/(-40)).
6
Let i be (-16)/6*(-4149)/374. Let s = i - 1165/34. Let o = -23131 - -416219/18. Find the common denominator of o and s.
198
Let p be 20/(-3) + (-12)/(-18). Calculate the common denominator of 815/(-120) + 2/p and 89/2.
8
Suppose 4*n = v - 11841, 0 = 4*n + n + 3*v + 14780. Let b = 14849/5 + n. Let t = 1/132 - 3967/924. Calculate the common denominator of t and b.
35
Suppose 4*h = -0*j + 2*j + 2, 0 = 3*h - 3*j. Calculate the lowest common multiple of h and (0 + -2)/(-1 - 0).
2
Suppose 0 = -w - 4*j, 2*w - 13 = -w + j. Suppose -w*b - 33 = -7*b. What is the least common multiple of 1 and b?
11
Find the common denominator of -3/8 and (12/(-20))/(-3)*(1 - -52).
40
Let s = 755/464 + 9/29. What is the common denominator of s and 63/16?
16
Suppose 0*n = 6*n - 48. What is the smallest common multiple of 12 and n?
24
Let m be (-62)/6 - 3/(-9). Find the common denominator of 46/7 and (4/10)/((-2)/m).
7
Let x = 5012 + -50053/10. What is the common denominator of 131/6 and x?
30
Suppose 0 = 3*g + g - 16. Suppose 0 = 3*y + 15, g*y - 2 = 4*m - 26. Calculate the lowest common multiple of 1 and m.
1
Suppose y - 2*y + 7 = 0. Suppose 4*h - 5 = 2*r - 3, -4*h - 1 = -3*r. Let g = r - 0. What is the lowest common multiple of y and g?
21
Let i = -141/5 + 7/10. Suppose k + 1 + 2 = 0. What is the common denominator of (-23)/(-2) + 0/k and i?
2
Let t = 9 - 6. Calculate the common denominator of ((-258)/(-27) - 4) + 1 and (-2)/t - 221/(-30).
90
Suppose g - 6 = -0. Let d = -61 + 38. What is the common denominator of (9/g)/((-12)/(-54)) and d?
4
Suppose -27*s + 12 = -26*s. Calculate the least common multiple of (-2)/(-3) + (-4)/(-3) and s.
12
Let c(v) = 318*v + 5. Let j be c(-7). Let i = j - -40057/18. Calculate the common denominator of 73/14 and i.
126
Suppose -7*z + 15 = -2*z. Let c = z - -3. What is the least common multiple of c and 9?
18
Let z be -3 - (-4)/((-4)/(-15)). What is the common denominator of 43/z + (-4)/(-16) and ((-41)/66)/(1/(-3))?
66
Let r be (-8 - -2)/3*1. Let i be -1 + 3*-15 - r. Calculate the common denominator of -91/18 and ((-327)/9)/(i/(-6)).
198
Suppose n + 73 = z, 83 = 2*z + 4*n - 87. Let y = -29 + 106/3. Find the common denominator of y and (-3)/z + 4/22.
21
Let x(l) = -2*l**2 - 12*l + 4. Let p be x(-9). What is the common denominator of 54/7 and p/(-3) + -6 + 4?
21
Find the common denominator of (61/2)/((-30)/12) and -47/8.
40
Let s be (919/1253)/(24/14). Let a = s + -2/179. Calculate the common denominator of a and 43/8.
24
Let z be ((-183858)/(-20))/((-24)/10). Let v = 3822 + z. Find the common denominator of v and -101/6.
24
Let p = 16627 - 6301629/379. Let n = -1037035888865/6064 + 171015159. Let x = n - p. Calculate the common denominator of x and 149/12.
48
Let y = -17 + 39. What is the smallest common multiple of y and 14?
154
Suppose -2*n + 21 = 3. What is the least common multiple of n and 3?
9
Let k(a) = a + 3. Let w(b) = b**2 - 4*b - 2. Let c be w(5). Suppose 3*x - 42 = 6. Calculate the lowest common multiple of k(c) and x.
48
Let v be (39/26)/((-6)/(-3782)). Let i = v + -970. Find the common denominator of i and -91/4.
4
Calculate the smallest common multiple of 11 and 33/11 - (-26 + -1).
330
Suppose 3*f - 2*w = -194, 22 = -3*f + w - 168. Let u = f - -37. Find the common denominator of (-15)/6 + 2 + (-495)/(-72) and u.
8
Let n(v) = 5*v**3 + v**2 - v - 2. Let f be n(2). Suppose -16 = 4*j, -4*h + f = -5*j - 36. Suppose 3*t = 10 + 2. What is the lowest common multiple of t and h?
28
Calculate the smallest common multiple of 16 and 9/1 - (-1 + -2).
48
Let t = -7867420653984223/90960 + 86493191008. Let n = -16/1895 - t. Let j = -1/48 + n. Find the common denominator of -49 and j.
6
Suppose 0 = -0*x + 3*x - 54. Suppose -16 = q - 3*q. What is the least common multiple of x and q?
72
Find the common denominator of 190/52 + 0/1 and (0 + (-146)/(-32))*-2.
104
Suppose -5*g = -g - 64. What is the smallest common multiple of g and 6?
48
Suppose 4*i + 10 = -m, -4*m + 2*i + 23 = -3*i. What is the smallest common multiple of 18 and m?
18
Suppose 3*b - 8*b - 4*n = -75, 4*b - 24 = 4*n. Calculate the common denominator of b and 8/7.
7
Suppose s - 5 = l, 3*l + l - 2*s + 14 = 0. Calculate the common denominator of -59/6 and ((-13)/(-39))/(l/(-46)).
6
Let q be ((-5)/2)/((-1)/2). Let z(y) = -8*y + 17*y - y - 6*y - 6. What is the lowest common multiple of z(q) and 2?
4
Let i = -265/18 + 27/2. Let m(d) = 2*d**3 - 3*d**2 - 3*d. Let u be m(-2). Calculate the common denominator of 12*(3 - u/(-7)) and i.
63
Suppose g - 3*g = 0. Find the common denominator of -43/6 and (-2 - g) + (-345)/18.
6
Suppose -f - 5 = -s, -2*s = -5*s - 4*f + 36. Let u = 17 - s. What is the least common multiple of 9 