.
18
Let a(t) = -2*t**3 - 9*t**2 + 3*t + 12. Let u be a(11). Let q = 29691/8 + u. Find the common denominator of q and -25/16.
16
Suppose -14 = -2*q + 2. Let u(c) = c**2 + 3*c. Let w be u(-4). Suppose -w*r + 8 = -a, 4*a - 21 + 5 = 4*r. What is the least common multiple of a and q?
8
Suppose 25 = 5*x - 4*t - 25, -5*t + 20 = 2*x. Suppose 2*l - 10 = 0, -36 = -2*z - 4*l - 6. Calculate the lowest common multiple of z and 34/x + 8/(-20).
15
Let n(d) = 2*d**2 + 17*d + 10. Calculate the least common multiple of 1 and n(-8).
2
Let l = 5503/438 + 336/73. Calculate the common denominator of l and 318/(-96) - 1*2.
48
Let x = 571305 - 3453869/6. Let r = -4351 - x. What is the common denominator of -97/8 and r?
24
What is the common denominator of -2/39 and (13/104)/(9/(-436))?
234
Let f = 3531 - 14055/4. Find the common denominator of 25/14 and f.
28
Let s(g) = g**2 - 7*g + 8. Calculate the least common multiple of 10 and s(7).
40
Suppose 0 = -8*a + 3*a + 1635. Calculate the common denominator of 14/21 + 214/12 and a/9 - (-2)/3.
2
Let j = -11 - -37. Calculate the smallest common multiple of 10 and j.
130
What is the common denominator of -7/8 and (-12)/21 - 2679/126?
24
Let c(s) = s**3 - 2*s**2 - 3*s - 5. Let y be c(4). What is the least common multiple of 14 and 294/y + 2/5?
140
Let w be ((-6)/2 + 3)/(-2). Suppose 5 = -w*u + u. Suppose 2*a - 30 = -u*h - 2*a, -2*a = h - 12. What is the least common multiple of 16 and h?
16
Let w(i) be the second derivative of i**4/12 - 2*i**3/3 - i**2 + 2*i. What is the smallest common multiple of 6 and w(6)?
30
Let m = -6 - -14. What is the lowest common multiple of m and 12?
24
Let s(b) = -2*b - 2 + 0*b + 0. Let a be s(-3). Suppose 0*p - 24 = -a*p. Calculate the smallest common multiple of p and 4.
12
Let k = 2726/585 - -116/65. What is the common denominator of -18 and k?
9
Suppose -2*c + 7*c = 50. Suppose l + i + c = -2*i, -i = 5*l - 6. Calculate the least common multiple of 16 and l.
16
Let j be 173/5 - 4/(-10). Suppose 4*u = -p - 127, -2*p - j = -2*u - 111. Let y = u - -47. What is the lowest common multiple of 10 and y?
70
Let w(n) = -n**3 + 4*n**2 + 3*n - 2. Let u = -18 - -8. Let b = u + 14. Calculate the least common multiple of 5 and w(b).
10
Let n = -1499 + 7447/5. Find the common denominator of -81/40 and n.
40
Suppose -l + 21 = 2*l. Calculate the lowest common multiple of 3 and l.
21
Suppose -2*o = 2*o - 8. Calculate the common denominator of 34*(-2)/(-44) + o and -65/9.
99
Calculate the common denominator of (-1 - -4) + (-57)/5 and (-2)/14 - (-442)/(-42).
15
Let b(t) = t**3 + 8*t**2 + 5*t - 6. Suppose -2*v - 15 = -1. Calculate the smallest common multiple of b(v) and 5.
40
Let y = 2299 - 18417/8. Let m be (-3154)/(-140) - (0 + 0). Let o = m + -199/7. Calculate the common denominator of y and o.
40
Suppose -1 - 15 = -4*f. Suppose -f*u + 3*u = -l, 5*l = -2*u + 14. Suppose 6 = -2*q - 4*s, -5*s - u = 13. Calculate the least common multiple of q and 11.
33
Let z = 1176 - 2067. Let l = 3519/4 + z. Find the common denominator of l and -11/4.
4
Let b(y) be the first derivative of -y**4/4 - 7*y**3/3 + 3*y**2/2 + 4*y - 3. Let h be b(-7). Let a = 25 + h. Calculate the smallest common multiple of a and 4.
8
Let i = 2317/2 + -1123. Calculate the common denominator of 113/12 and i.
12
Suppose -50 - 14 = -4*n. Suppose 4*i - n = -0*i + 4*c, -8 = -4*c. Find the common denominator of (-2)/i*534/(-8) and -47.
4
Suppose 0 = 5*t - 5*a - 60, -t = 2*a - 4*a - 15. Calculate the common denominator of (117/30 - 3)*(-7 + 6) and (6/(-8))/(t/113).
60
Suppose -1 = l - 4. Suppose -a = -l*s + 2, 17 - 7 = 3*s + a. Calculate the common denominator of s/(-1)*(-77)/12 and 29/4.
12
Let b = 132259/20 + -6618. Calculate the common denominator of b and -53/6.
60
Suppose -4*s + 2*s = -38. Suppose -o = 12 + s. Find the common denominator of -31/8 and (-2)/(-1) - o/(-5).
40
Let x(r) be the first derivative of -3*r**2/2 + r + 1. Let v be x(3). Find the common denominator of ((-45)/v - 0)*-1 and 32/5.
40
What is the common denominator of -2 + 863/42 - 12/(-42) and 11/9?
18
Let d = -2171/6 - -7678/21. What is the common denominator of d and 127/6?
42
Calculate the common denominator of (-5)/(-6) - (-984)/(-360) and -67/4.
20
Suppose 4*l + 0*l = 4. What is the smallest common multiple of 10 and l?
10
Let i = 4 - -13. Let r be (-2)/1 - (-3 - -3). Find the common denominator of (-1)/((-6)/i) + r and -113/6.
6
Let m = -196531/24 + 8190. Calculate the common denominator of m and 43/9.
72
Suppose -3 = -2*v + 3. Let c be (10/3)/((-4)/(-18)). Let z = c - 4. What is the lowest common multiple of z and v?
33
Let j(p) = 7*p - 3. Let n = 0 + 10. Calculate the lowest common multiple of n and j(2).
110
Suppose 2*f - 110 = 4*q, -9 - 7 = -4*q. Calculate the common denominator of (4/(-14))/((-8)/(-52)) and 3 - 12/f*-3.
7
Suppose 3*r + 0*r - 9 = 0. Suppose 0 = -r*m + 4*m + 18. Find the common denominator of 1 + ((-705)/m)/(-5) and -97/18.
18
Let d be 13970/(-12) - (-2 + 0). Let n = d + 1169. Suppose -5*b = 2*g + 72 - 232, -135 = -4*b - 3*g. What is the common denominator of b and n?
6
Let h(n) = -n**2 - 2*n + 5. Let i = 13 + -18. Let q be h(i). Calculate the common denominator of 34/11 and (-1)/14*(q - 0).
77
Let h = -40047/11 + 3636. Let l = 8/11 + -100/77. Find the common denominator of l and h.
77
Let w = 1571552/5 + -313141. Let a = w - 1178. Calculate the common denominator of -29/5 and a.
5
Let s = 9/95 + 919/1330. Find the common denominator of s and 89/4.
28
What is the common denominator of 50/9 and 145/812*2/((-48)/(-98))?
144
Let n be (-4)/18 + (-480)/27. Let z = -13 - n. Suppose 0*h + 2*h + 6 = -f, -3*f = z*h + 13. What is the smallest common multiple of f and 6?
12
Let x(p) = -2*p + 16. Let o be x(-7). Suppose -2*s = -5*s + o. Calculate the smallest common multiple of 14 and s.
70
Suppose -9 = -5*l + 1. Let d = 44 - 12. Suppose 2*u = -0*u + d. What is the lowest common multiple of l and u?
16
Let b be (-1 + (-2 - -3))/1. Suppose v + b*z - z = -1, 4*z - 10 = v. Let a(p) = -p**3 + 4*p**2 - 4*p + 2. What is the least common multiple of a(v) and 22?
22
Suppose 5*f + 28 = -3*o - 84, -2*o - f = 70. What is the common denominator of o/7*(-1)/2 and 8?
7
Let g = -13 + 25. Calculate the least common multiple of g and 4.
12
Suppose 0 = 4*a - 2*a - 6. Suppose 0 = 4*r - a - 21. What is the least common multiple of r and 10?
30
Let h(x) = -x**3 + 7*x**2 + 6*x + 18. Calculate the smallest common multiple of 7 and h(8).
14
Suppose 0*s + 2*s - 11360 = 0. Let c = -33959/6 + s. What is the common denominator of 1438/(-396) - 2/(-9) and c?
66
Let b = -2/2438907 + 74589092797/19511256. Let p = b + -3832. What is the common denominator of ((-8)/168*-9)/(10/77) and p?
40
Let z be ((-16)/(-6))/((-1)/3). Calculate the common denominator of (6 + -4)*(-94)/z and 58/3.
6
What is the common denominator of (-7)/63*123*-1 and 10/(-6) + 0/3?
3
Let b = -7 + 6. Calculate the common denominator of 3 + (-564)/40 + b and 113/14.
70
Suppose -3*f + 6*f = 0. Suppose 2*v - 4 = -f. Find the common denominator of 61/22 and v/(-7) - (-831)/336.
176
Let l = 85/124 + 2/31. What is the common denominator of l and -61/2?
4
Let m = -28 - -11. Let j = m + 26. Find the common denominator of -52/7 and (1287/24)/(j/(-4)).
42
Let z = -257/6 + 37. Find the common denominator of z and 51/14.
42
Let s be (-226847)/56 - 2/7. Let u = -4058 - s. Calculate the common denominator of -5/8 and u.
8
Let k be ((-92)/630)/((-2)/1850). Let m = 986/7 - k. Calculate the common denominator of m and 10/(-45) - (-668)/(-396).
99
Suppose -18 = 15*r - 63. What is the smallest common multiple of r and 22?
66
Let z(t) = -3*t**2 + 2*t + 1. Let s be z(-1). Let r = -12 + 11. What is the lowest common multiple of (r - -2)*-2 - s and 14?
14
Suppose 2*v - 29 = 5*s, 0 = 4*v + s - 4*s - 23. Let d be 3/(3/(-2))*v. Calculate the common denominator of 49/8 and (-4)/(-5)*51/d.
40
Let f = -2/14403 + -17557253/28806. Let y = f + 579. What is the common denominator of y and (-4)/20 - 1498/60?
6
Let f be (-2)/7 + (-69)/(-21). Let x(h) = -h**3 + 9*h**2 - 7*h + 2. Calculate the lowest common multiple of (-2)/3*(f + -6) and x(8).
10
Suppose -4*z + 9*z - 45 = 0. Suppose 5*m - 11 = z. Calculate the least common multiple of 2 and m.
4
Let s be 10*(-2)