 -5*p - 24438. Let g = -24407/6 - p. What is the common denominator of g and -83/6?
6
Let j = 17 + 3. Suppose 2*l - j = -2. Let n = 28 - 18. Calculate the lowest common multiple of n and l.
90
Find the common denominator of (-2)/((54/(-69))/3) and 6/(-4) - 45/70.
21
Suppose -7*p = -5*p - 20. Calculate the smallest common multiple of p and 9.
90
Let o = -1/94 - 4741/564. Let d = 9/16 - -17/48. Calculate the common denominator of d and o.
12
Let m be 12 + 0 - (-3 + 3). Suppose -2*j = -24 - m. Suppose 0*o - 2*o + j = 0. What is the lowest common multiple of o and 3?
9
Let i(t) = 7 - 2 - 3 - 81*t. Let o be i(-5). Let g = o - 877/2. Calculate the common denominator of 121/6 and g.
6
Let t(f) = -4*f**2 - 6*f + 9. Let j(d) = -3*d**2 - 5*d + 8. Let x(i) = -3*j(i) + 2*t(i). Calculate the lowest common multiple of 14 and x(-6).
84
Let r(y) = 2*y**3 - y**2 + y - 2. Suppose i - 2*s = 8, 4*s = 4*i - 25 + 5. Let j be r(i). Find the common denominator of 310/j + 2/(-1) and -25/4.
12
Let h = 3 + -1. Suppose -32 - 48 = -h*a + 4*z, 5*a = -3*z + 135. What is the least common multiple of 6 and (a/(-9))/((-2)/6)?
30
Find the common denominator of (-1)/(-3) + 143/18 and 21/10.
90
Suppose 0 = -5*k - 56 + 6. Calculate the common denominator of (k/(-16))/((-6)/(-78)) and 41/22.
88
Let o(m) = 4*m**3 + m**2 - m + 1. Let v be o(1). Suppose v*r = 4*r + 4. What is the smallest common multiple of 14 and r?
28
Let x(n) = -n**3 - 4*n**2 - n - 1. Calculate the smallest common multiple of (1/(-2))/((-5 - -7)/(-28)) and x(-4).
21
Suppose -2*p = -3*q + 3*p + 37, 5*q - 4*p - 40 = 0. Calculate the lowest common multiple of q and 8.
8
What is the least common multiple of ((-8)/(-1))/(1 - 0) and 1?
8
Let p be -5074*(-4)/(216/15). Let m = -1416 + p. Find the common denominator of -39/11 and m.
99
Suppose -3*t + 16384 = 3721. Let n = t + -59197/14. Calculate the common denominator of n and 143/6.
42
Let s = -6 - -9. What is the smallest common multiple of 4 and (-14)/(-3)*s/2?
28
Let m be (3 + 1)*(-36)/(-16). Find the common denominator of 1188/(-8)*(-2)/(-48) and (154/(-36))/((-6)/m).
48
Let o(n) = n**2 + 2*n - 14. Calculate the smallest common multiple of 14 and o(4).
70
Suppose 0 = 2*y - 0*x - x - 1, -y - 3*x = 10. Calculate the least common multiple of 14 and ((-22)/2)/y + 1.
84
Suppose -2*w + 14 = -54. Suppose 0 = -4*x + z - w - 36, -5*z + 26 = -2*x. Find the common denominator of (-1 - 11)*x/(-28) and 34.
7
Suppose -2*l - 2*m + m = -3518, l - 1759 = 5*m. Let o = 14049/8 - l. Calculate the common denominator of 74/20 + (-2)/4 and o.
40
Let d(s) = s**3 + 5*s**2 - 2*s - 12. What is the smallest common multiple of d(-3) and 44?
132
Let g = -11 - -15. Let a(q) = q**3 - 3*q**2 - 2*q + 2. Calculate the lowest common multiple of a(g) and 2.
10
Calculate the lowest common multiple of 15 and 4/28*2 - 328/(-28).
60
Let x(t) = -3588*t**3 - 2*t**2 + 1. Let h be x(-1). Let j = -78937/22 + h. Find the common denominator of j and (-530)/(-72) - (-2)/8.
198
Let x = 30 + -8. Calculate the least common multiple of 4/12 - (-10)/6 and x.
22
Let f = 77/5 + -967/80. Suppose 4*g + 18 = -14. Find the common denominator of (2/g)/(18/236) and f.
144
Find the common denominator of 18/7 and (6/(-15))/((-12)/(-1245)).
14
Calculate the common denominator of (60/25 - 2) + 962/(-480) and -33/4.
48
Let p(n) = n**3 + 7*n**2 + 3*n + 7. Let g be p(-6). Suppose g + 8 = 3*x. What is the common denominator of 2/x + (-1682)/(-308) and 93/22?
154
Let p = 19 - 39. Suppose 0 = 4*o - 4*u + 128, -5*o = u + 249 - 95. Let d = p - o. Calculate the common denominator of 21/11 and d.
11
Let h = 252823 + -2783746/11. Let p = 245 + h. What is the common denominator of p and -40?
11
Let n be (1 - -1)/(8/(-28)). What is the common denominator of -2 + (-4)/n + 2 and 97/10?
70
Let z = 12 - 9. Calculate the least common multiple of 9 and z.
9
Let o = 1084 - 4888. Let t be (-947)/o - (-3)/(-12). Let f = -17755/2853 - t. Find the common denominator of -23/4 and f.
36
Let i = -3741299/187 + 20007. Let b = i - 8101/1122. Let k = -698/45 + 91/9. Calculate the common denominator of k and b.
30
Let i(y) = -y**2 - 6*y + 2. Let j be i(-6). Suppose -j*u = u - 51. Suppose 0*d = b - d - u, d + 31 = 2*b. What is the least common multiple of b and 22?
154
Suppose -4*c = -9*c + 4*d + 46, -2*c - 5*d = 8. What is the least common multiple of 16 and c?
48
Let z = 19301/1524 - -1/508. Suppose -2*m + 14 = -0*m + 3*k, 4*m + 2*k = 12. Calculate the common denominator of z and 112/(-22) - 0/m.
33
What is the least common multiple of 155/10 + -1*(-2)/4 and 4?
16
What is the smallest common multiple of (-4)/((-4)/21) + -3 and 26?
234
Let c be (-2858)/(-10)*(-20)/(-8). Let x = c + -2953/4. Find the common denominator of x and 3 + (6/8)/(-3).
4
Let r = 11171/6 - 1857. Calculate the common denominator of r and 139/6.
6
Let c = 433/10 + -264/5. Calculate the common denominator of (-1)/6 + (-2)/6 and c.
2
Let f = -4 + 22. What is the least common multiple of 14 and f?
126
Let f(d) = -38*d + 35. Let y(u) = 13*u - 12. Let n(h) = -6*f(h) - 17*y(h). Suppose 3*m + 0 = 48. What is the lowest common multiple of n(4) and m?
176
Let m = 87073/396 - 2000/9. What is the common denominator of m and 83/2?
44
Find the common denominator of (3 - 4)/((1/3)/(-1)) and 11/10.
10
Let a be 60/9*(-6)/(-5). What is the common denominator of -107/22 and 62/a - 5/(-15)?
132
Let u = 30 - 8. What is the least common multiple of u and 22?
22
Calculate the common denominator of -3/58 and 125/100*(-34)/25.
290
Suppose h + 132 = -4*r, 0 = 5*h - r - 0*r + 660. Calculate the common denominator of 266/h + 3/9 and -91/12.
132
Let a = -2873/3 - -948. Find the common denominator of a and -37/2.
6
Let x = -181/24 - -37/6. Let j = 7 + -11. Find the common denominator of x and ((-6)/11)/(-6 - j).
88
Suppose 21*i = 26*i - 50. Let l = 1 - -1. Calculate the lowest common multiple of l and i.
10
Let v(k) = -15*k + 1. Calculate the least common multiple of v(-1) and 8.
16
Let r be ((-14)/(-6) + -2)*51. Let t = -8 + r. Calculate the smallest common multiple of 7 and t.
63
Let p = -4 + -3. Suppose 0 = 3*u - 4*z + 39, 0 = 6*u - u - 5*z + 60. Let y = p - u. Calculate the least common multiple of 10 and y.
10
What is the least common multiple of (12 - 10) + 3*1 and 2*(-3)/18*-3?
5
Let d(v) = v**3 - 4*v**2 - 4*v + 2. Let i be d(5). Let y(k) = k**2 - 8*k + 10. Calculate the least common multiple of y(i) and 4/3*(7 + -1).
24
Let s be 3/9*3*124. Let i be (2*(-6)/s)/2. Let k = 103/434 - i. What is the common denominator of 27/11 and k?
77
Let k(c) = -c**3 + 8*c**2 + 8*c + 13. Let w be k(9). What is the common denominator of 9/(-15)*(-65)/w and -65/3?
12
Let i = 11 + -7. What is the least common multiple of i and 2?
4
Let v = -7 + 7. Suppose -2*l + q + 1 + 1 = v, -5*l + 5*q = 0. Calculate the smallest common multiple of l and 8.
8
What is the common denominator of -71/3 and (1/11)/(2/50)?
33
Suppose -6*n + 4*n + 12 = 0. What is the lowest common multiple of 3 and n?
6
What is the common denominator of ((-55)/198)/((-8)/(-174)) and 11/21?
168
Let f be (-1)/((10/16)/(-5)). Let v = f + -6. Let z = 9 - v. What is the lowest common multiple of 6 and z?
42
Let g = 11014/3445 - -2/689. Let c = -987 - -8918/9. Calculate the common denominator of g and c.
45
Suppose 3*b - 2*d - 94 = -b, -3*d = -3. Calculate the least common multiple of b and 21.
168
Let j(z) = -5*z**3 + 15*z**2 - z + 3*z**3 - 11 + 3*z**3. What is the least common multiple of 12 and j(-15)?
12
Let c = 188421314316514099/19032303399347010 + 68/75534005633. Let m = c - 2/25197. Let i = -122189/10744 + -3/1343. Find the common denominator of i and m.
40
Find the common denominator of 3/(-12) - (-215)/12 and 88/(-9)*9/(-36).
9
Let x = 645 + -1972. Let t = x + 10699/8. Find the common denominator of 19/3 and t.
24
Let b be -44*(81/(-6))/3. Let y = -92 - b. What is the common denominator of ((y/6)/1)/6 and -71/6?
18
Suppose -5*s + 37 = -4*l - 43, -4*s + 64 = l. Calculate the lowest common multiple of 20 and s.
80
Let i = 81/14 + -641/63. Find the common denominator of i and 37/24.
72
Let c = -2968 + 11941/4. Find the common denominator of (-20)/40 - (-274)/(-12) and c.
12
Calculate the common denominator of -55/8 and (3 + 56/(-6))/((-8)/(-14)).
24
Let f be (-411)/(