48
Let r be ((-41)/2)/(1/(-14)). What is the lowest common multiple of 1 and r/42 - (-1)/6?
7
Let m = -20 + 55. Suppose -b + 3*b = 5*u + m, -3*u + 63 = 3*b. Calculate the smallest common multiple of 14 and b.
140
Let o(f) = f**2 - 7*f + 10. Let t(b) = -b**3 + 8*b**2 + 12*b - 13. What is the least common multiple of o(8) and t(9)?
126
Calculate the lowest common multiple of (4/6)/((22/(-12))/(-11)) and 8.
8
What is the common denominator of -145/18 and ((-9)/(-30))/(6/185)?
36
Let f be (-5180)/(-3) + 1/2. Let w = -1731 + f. Calculate the common denominator of w and -67/10.
30
Let d be ((-30)/7)/((-1)/(-14)). Calculate the common denominator of ((-393)/d + -1)/3 and 29/22.
220
Let r(s) = -65*s + 2. Let f be r(-6). Suppose f = -0*z + z. Let x = -3179/8 + z. Calculate the common denominator of 83/22 and x.
88
Suppose -200 = -4*m + 5*u, -5*u + 3*u = 2*m - 118. Suppose -5*l = p - m, -5*p - 9 = l + 4. What is the least common multiple of l and 14?
84
Calculate the common denominator of 21/13 and 188/6*36/96.
52
Let s(w) = 15*w**2 - 1. Calculate the lowest common multiple of s(-1) and 5.
70
Let r(m) = m**3 - 3*m**2 + 2*m - 1. Let s be r(3). Suppose 5 = s*z - 50. Calculate the least common multiple of z and 11.
11
Let n = 1200/13 - 14933/156. Let o = -10/401 + 52651/4812. What is the common denominator of n and o?
12
Let x = 4 + -3. Find the common denominator of ((-38)/5 - 1) + 2 and 2/(((-66)/(-69))/x).
55
Calculate the common denominator of 1 - 2/(-12)*47 and -20/9.
18
What is the least common multiple of 8 and 99 - (-6 - -3 - (-6 - -2))?
392
Suppose 0 = 2*u - 14 - 18. Suppose -4*j = 4*x - u, 2*x - 2*j - 13 = -5*j. What is the common denominator of 21 and 5/8 - -1 - x?
8
Let u be ((-6)/6)/(2/(-6)). What is the common denominator of 91/4 and ((-267)/3 + u)/(-4)?
4
Let d = 67/2 + -38. Calculate the common denominator of d and -34/5.
10
Suppose 47 = -f - 15. Let t be (-1)/(-2) - f/(-4). Calculate the lowest common multiple of (-65)/t + 1/(-3) and 4.
4
Suppose 4*o = 1 + 23. Find the common denominator of (o/48)/(1/(-198)) and (-20)/(-6)*(-33)/(-4).
4
Let y = -20082 + 441879/22. Calculate the common denominator of 57/4 and y.
44
Let u = 1/32 - -599/288. Find the common denominator of -6 and u.
9
Suppose 0 = -s + 4*s - 9. Suppose 7*v = s*v + 8. Suppose v*x - 50 = -3*x. Calculate the smallest common multiple of x and 5.
10
Let q = -8 - -24. Calculate the smallest common multiple of 13 - 0 - (28 + -33) and q.
144
Calculate the common denominator of 10647/(-294) - (0 - (-4)/14) and -107/6.
6
Suppose -5*b + 8 = -4*b. Let a = 36 + -20. Calculate the lowest common multiple of a and b.
16
What is the common denominator of (-85)/30 - (1 - 0) and -57/20?
60
Let h = 1163 + -7129/6. Calculate the common denominator of 46/4*(2 - (-44)/(-12)) and h.
6
Suppose 2*v = -c + 6, 0 = 6*c - c + 4*v - 24. Calculate the lowest common multiple of c and 28.
28
Let i be 1/(1 - (-180)/(-176)). Calculate the common denominator of 43/8 and i/28*4/2.
56
Calculate the smallest common multiple of (4/(-3))/((-8)/12) and 2/(-7) + (-200)/(-14).
14
Let g = -9/829 - -40449/60517. Let r = g + -3327/730. What is the common denominator of 174/(-20) + 0 + 1 and r?
10
Suppose -4*c + 84 + 28 = 0. Suppose 0 = -4*m, -2*d - 3*m = m - c. What is the least common multiple of d and 22?
154
Let u = -975 - -5833/6. Find the common denominator of -88/15 and u.
30
Let k be 1/(((-1)/6)/1). Let o be 14316/80*(-4)/k. Let l = o + -774/5. What is the common denominator of l and -49/18?
18
Let z = 4 + 2. Let d = z - 5. Find the common denominator of 49/12 and (-2)/d + (-63)/30.
60
Suppose -5*y + 2*c = 6*c - 19, -2*c = 3*y - 13. Let j be 6/(-21) - (-37)/y. Suppose 55 - 10 = j*p. What is the least common multiple of p and 5?
45
Let p = -10271/528 - -222/11. Find the common denominator of 25/12 and p.
48
Let a = 17 + -13. Suppose -9 = -a*c + 19. What is the least common multiple of 8 and c?
56
Let a be (-5)/(-15) - (-1282)/24. Let y = a + -65/4. What is the common denominator of 1/20*-1 + 1 and y?
20
Find the common denominator of -11/6 and 1 - 0 - 225/24.
24
Let d(m) = 2 + m**2 - 3*m - 2*m**2 + 2*m. Suppose -4*l = -3*l. Calculate the smallest common multiple of d(l) and 8.
8
Suppose -5*k = -5*u - 2 + 52, -3*u + 6 = k. Let a = k - -13. What is the least common multiple of a and 8?
56
Suppose -7*q + 34 = -1. What is the smallest common multiple of q and 4?
20
Let z = -1715 + 24033/14. Let s = 23756 + -95507/4. Let a = 681/4 + s. Calculate the common denominator of a and z.
14
Let x(z) = z**3 + 2*z**2 - 6*z + 1. Let o = -19 - -7. What is the smallest common multiple of x(-3) and 97/4 + 3/o?
120
Let t(l) = 4*l**2 + l. Let r be t(-1). Suppose r*f = f. Suppose f = d + 3*g - 22, d + 5*g = 4*g + 18. Calculate the lowest common multiple of 16 and d.
16
Let k = -5579/8208 + -4/513. Calculate the common denominator of 17/32 and k.
32
Let u(t) = t**3 - 5*t**2 - t + 2. Let z be u(5). What is the common denominator of 137/20 - (-2 - z) and ((-1129)/(-22) - (-18)/99)/(-11)?
220
Let n(o) = 4*o. Let k = 0 + 3. What is the least common multiple of n(k) and 22?
132
Let s = 50 + -83. Suppose 0 = -2*q - 2, q = -3*n + 5*q - 59. What is the common denominator of s - (-2)/(-2 - -6) and n?
2
Suppose 0 = -3*n - n. Suppose n = -2*x + 3 - 1. What is the smallest common multiple of x and 2?
2
Suppose -3180 = -0*f - 5*f. Let t = -8709787/12 - -725184. Let q = t + f. What is the common denominator of q and 41/6?
12
Let o(b) = b**2 - 13*b + 22. What is the lowest common multiple of 10 and o(12)?
10
Let f(k) be the first derivative of -k**4/4 - k**3/3 + k**2/2 + 2. Calculate the smallest common multiple of f(-2) and 18.
18
Let j = -67657/20 - -3384. Let z be 0/(0 - 1/(-1)). Calculate the common denominator of z + (-89)/(-4) - 1 and j.
20
Let p(c) = -c**3 + 6*c**2 - 3*c - 7. Let v be p(5). Suppose 0 = 2*q + v - 19. Calculate the lowest common multiple of 18 and q.
72
Let a be 1/(-2) + (-55)/(-10). Suppose -a = 6*v - v. Let p = 1 - v. Calculate the least common multiple of 10 and p.
10
Let a(u) = u**3 - 2*u**2. What is the smallest common multiple of 2 and a(3)?
18
Let g = 30/73 + 6145/146. Find the common denominator of 109/18 and g.
18
Let h = -540/11 - -1531/22. What is the common denominator of 105/22 and h?
22
Let k = 0 - -3. Suppose 0 = k*n + 17 + 7. Find the common denominator of 2/3 and n/6*(-9)/30.
15
Suppose -3*b = 3*z - 902 + 7880, 0 = -4*z. Find the common denominator of 4/26 - b/260 and 43/10.
10
Suppose 0 = 5*j - 0*j - 90. Let t = j - 8. Calculate the common denominator of t and -62/9.
9
What is the common denominator of 49/18 and ((-51)/18)/(10/(-75))?
36
Let f(a) = 896*a + 4. Let t be f(6). Let m = -53701/10 + t. What is the common denominator of 89/14 and m?
70
Suppose l = -2*q + 22, 3*q = -l - 3*l + 38. Calculate the lowest common multiple of q and 22.
110
Suppose 12*q - 10*q = 32. What is the least common multiple of 14 and q?
112
Let i = -5369/24 - -223. Calculate the common denominator of i and -127/18.
72
Let r = -3 + 8. What is the least common multiple of ((-4)/(-1))/((-11)/(-22)) and r?
40
Suppose -4*g + 180 = g - c, g - 4*c = 36. What is the lowest common multiple of g and 28?
252
Calculate the common denominator of 8/20*(-113)/4 and 71/10.
10
Let r = 922881/158 - 5841. Let b = 2490/79 - r. What is the common denominator of b and -44?
2
What is the common denominator of 2/8*218/(-5) and (7 - 5)*62/(-88)?
110
Let q(a) = -17*a**2 + a + 2. Let j be q(-1). Let z = 20 + j. Calculate the smallest common multiple of z and 1.
4
Let y be -4 - (1 - (-3 + 4)). Let f be 10 + 1 + (y - -3). What is the least common multiple of (-1 + -4)*(-14)/f and 4?
28
Let j = 9 - -1. Calculate the smallest common multiple of j and 7.
70
Let r(a) = a + 3. Calculate the least common multiple of r(12) and 3.
15
Let p be 1/(-4) - (-250)/40. Let m(s) = s + 4. What is the least common multiple of 4 and m(p)?
20
Let v = 125/3 - 217/5. Find the common denominator of v and -23/15.
15
Let h = 3/187 + 2401/1870. Calculate the common denominator of h and (1/(-4))/((-3)/105).
20
What is the common denominator of -11/20 and (41/8)/(6/12)?
20
Let p(h) = h**2 - 14*h + 55. What is the smallest common multiple of 8 and p(6)?
56
Let g(z) = 2*z**2 + 15*z + 17. Calcu