.
72
Suppose -3*o = -5*o - 6. Let u(r) = -r**3 - 2*r**2 - 3*r - 4. Let x be u(o). What is the common denominator of 103/6 and x/(-4)*(-300)/(-28)?
6
Let n = 5 - 2. Suppose 0 = r - 5*l + 19, 5*r - 5*l = n*r - 43. Find the common denominator of 113/6 and 2 - 10*(-34)/r.
6
Suppose 0*o - o = 2, -5*o - 110 = -2*c. What is the common denominator of -49/3 and c?
3
Suppose -5*j = -452 - 248. Let v = -332 + j. Calculate the common denominator of -41/8 and v/(-63) - (-2)/7.
24
Suppose -2*h + 9 + 9 = 0. Suppose m + 16 = 5*m. Calculate the lowest common multiple of h and m/(-2)*(1 - 3).
36
Let a = 2 + 1. Suppose -a = l - 4. What is the least common multiple of 7 and l - -4 - (-3 - -4)?
28
Let r be ((-1485)/50)/(276/(-22)). Let p = -87/23 - r. Calculate the common denominator of (-8)/52 - (-2554)/208 and p.
40
Let g be 109394/(-7700) + (-2)/7. Let c = -3/3829 + 1792047/95725. Let s = g + c. Calculate the common denominator of s and 89/2.
22
Suppose 4*j + 4 = 12. What is the lowest common multiple of j and 16?
16
Let d be 57/(-2)*(-83)/(-4120). Let u = -569093/1545 + 1105/3. Let s = d - u. What is the common denominator of s and 81/4?
16
Suppose 11 - 53 = -3*x. Let t = 0 + x. Calculate the least common multiple of t and 6.
42
Calculate the least common multiple of (30/(-21))/(1*4/(-28)) and (2/4)/((-1)/(-8)).
20
Let r(q) = q**2 - 2*q - 7. Let x be r(-3). Let o = x - 0. Suppose -3*t + 14 = -t. Calculate the smallest common multiple of t and o.
56
Let x(d) = d**3 + 5*d**2 + 4*d + 4. Let l be x(-4). Suppose 4*n = -3*g + 21, 5*g - 102 + 35 = l*n. What is the least common multiple of g and -11*(1 - (0 + 2))?
11
Suppose -30 = -2*t - 0*t. Suppose 0 = 5*c - l + 36255, 7*l + t = 4*l. Let p = c - -43609/6. Calculate the common denominator of -23/8 and p.
24
What is the common denominator of 115/14 and 996/568 - (-4 - -6)?
994
Suppose 3*p + 3 = 0, 0 = w + 4*p - 99 - 17. What is the least common multiple of w and 12?
120
Calculate the common denominator of 109/10 and (15/(-45))/((-16)/(-102)).
40
Calculate the common denominator of 22/21 and -1 + 580/(-24) - (-1)/2.
21
Find the common denominator of 4/3 and 476/48 - (-1)/4.
6
Suppose g - 27 = -2*g. Calculate the least common multiple of g and 24.
72
Suppose -s - 3 = -3*b - b, -5*s = 5*b - 10. Suppose -16 = -4*g - 5*t, -2*g - 3*g + 3*t = -20. What is the least common multiple of b and g?
4
Let q = -395 + 401. Suppose 5*g - 6 = 4. Suppose 0*x + g*x = 10. What is the least common multiple of q and x?
30
Suppose -2*s = -s - 10. Calculate the smallest common multiple of -4*(-3 + 1 + -2) and s.
80
Find the common denominator of (-2 - (-3)/1)/(12/9) and 145/12.
12
Let i(d) = d**3 + 5*d**2 + 4*d + 1. Let q be i(-4). Suppose -4*z = -4*o, 2*z - q = -0*o + o. Calculate the common denominator of 56/9 and (o*62/(-10))/(-2).
90
Let l = -244607/30 + 8152. Find the common denominator of l and -61/66.
330
Let i = 569/25 - 24. What is the common denominator of i and 123/10?
50
Let x(n) = n**2 + n + 4. Let d be x(3). Suppose y = -3*y - d. Calculate the lowest common multiple of (6/9)/(y/(-42)) and 5.
35
Let s(o) = -o**3 - 6*o**2 + 5*o - 2. Let u be s(-7). Let g = 25 - u. What is the smallest common multiple of g and 2?
26
Let c be (-2)/4 + 2193/(-14). Let y = -6701/14 - c. Let q = y - -297. Calculate the common denominator of -68/9 and q.
18
Find the common denominator of (9/3)/(-9)*363/20 and -17/28.
140
Let k(y) be the third derivative of -y**4/24 - y**3 - 7*y**2. Calculate the lowest common multiple of 20 and k(-8).
20
Let f(c) = -c**2 + 8*c + 11. What is the smallest common multiple of 12 and f(8)?
132
Suppose -10 = 5*h, 0*h = 3*m - 2*h - 10. Let b = 4 + 1. Let s = b + 2. What is the lowest common multiple of m and s?
14
Suppose 5*c - 4*c + 2710 = 0. Let x = c - -29789/11. Find the common denominator of (-70)/(-36) + 2/(-4) and x.
99
Let x be (2 - 4 - -2) + 45. Let f = -22 - 5. Let y = x + f. What is the smallest common multiple of 16 and y?
144
What is the common denominator of 1/(21/20*6/(-45)) and 31/4?
28
Let x(g) = -g + 3. Let q = 143 + -102. Suppose q = -5*o + 3*l, o + o = 4*l - 22. What is the least common multiple of 4 and x(o)?
20
Let x(h) = -66*h**3 + h**2 - 1. Let m be (-1*(-1)/1)/(-1). Let j be x(m). Calculate the common denominator of (-1)/6 - 208/j and -35/12.
132
Let i = -801/17 - -17431/340. Find the common denominator of 45/2 and i.
20
Suppose 0 = 3*x - 19 - 17. What is the smallest common multiple of x and 12?
12
Let d = -71527/330 - -1303/6. What is the common denominator of d and 87/10?
110
Let q(l) = 3*l**3 + l**2 - 9*l**2 - 7 - 2*l**3 + 10*l. Calculate the smallest common multiple of 2 and q(7).
14
Let h = 8 + -45/4. Find the common denominator of -113/14 and h.
28
Suppose -6 = 4*b - 5*b. Calculate the least common multiple of b and 2.
6
Let d = -5 - -9. Suppose 0 = -4*v - b - 39, b - 28 = d*v + 5. Find the common denominator of 91/20 and v/6 - (-156)/(-15).
20
Let j(z) = -z - 1. Suppose -2*d - 2*b = -14, -2*d + 5*d - 4*b = 0. What is the least common multiple of d and j(-2)?
4
Find the common denominator of (33/(-24))/((-15)/260) and -31/6.
6
Let r(l) = 0*l + 1 + 5 + 11*l + 2*l**2 + 7*l**2 - l**3. What is the smallest common multiple of 22 and r(10)?
176
Let s(k) be the second derivative of k**5/20 - k**4/3 - k**3/2 - 3*k**2/2 + 7*k. What is the least common multiple of 1 and s(5)?
7
Let r = -99 - -105. Suppose 0 = 5*k - 8 - 32. Calculate the least common multiple of k and r.
24
Suppose -3 = w - 23. Let o = w + 0. What is the least common multiple of o and 22?
220
Suppose r + d + 2 = 0, -2*d = 5*r + d + 2. Let j = -1/1480 + -39211/13320. What is the common denominator of j and (-219)/18 - r - 0?
18
Let w = -3489 - -31367/9. What is the common denominator of w and ((-247)/38)/(2/(-10))?
18
Let v = 28858578983686494579564863/18971292 - 1521170987389077563. Let k = v + 462880/659. Let p = -2/2399 - k. Calculate the common denominator of p and 17/22.
132
Suppose -2*q + 0*q = -6. What is the least common multiple of 9 and q?
9
Suppose 5*q - 5*u - 5 = 0, -u + 5 = 2. Calculate the least common multiple of q and 14.
28
Let x = -1657973/1040 + 20744/13. Find the common denominator of -95/18 and x.
720
Suppose 4*l - 225 = -65. Suppose 2*c = 3*a + 1 + 2, 0 = 5*c - a - l. Suppose 29 = 4*u - 3. Calculate the lowest common multiple of u and c.
72
Let l be ((-1)/6)/((-24)/(-465453)). Let i(s) = -3232*s + 1. Let w be i(1). Let o = w - l. Find the common denominator of 23/22 and o.
176
Let v be (-2)/(-4) + 11/2. Let d(t) = v*t - 3 - t - 7*t. Calculate the smallest common multiple of d(-4) and 6.
30
Let b(y) = -y**2 - 9*y + 11. Calculate the lowest common multiple of 2 and b(-9).
22
Let d = -713/30 - -108/5. Calculate the common denominator of d and 53/14.
42
Suppose 2*g = 4*v - 3 - 1, 14 = 4*v + 3*g. Suppose l = -z + 7, -5*z + v*z = 5*l - 45. What is the least common multiple of 3 and l?
12
Let b = -9 + 16. What is the lowest common multiple of 11 and b?
77
Let y = 10 - -1. What is the lowest common multiple of 9 and y?
99
Suppose -3*u + 50 = -8*u. Find the common denominator of (u/(-25))/(32/5) and -119/20.
80
Let h = 61 + -53. Let d(j) = -j**2 + 7*j - 3. What is the least common multiple of d(6) and h?
24
What is the common denominator of 12/(-10)*(-15)/12 and (-63 - 0)*(-2)/10?
10
Let q(h) = 11*h - 4. Let u be q(-3). Let n = u + 19. Find the common denominator of (-414)/8*3/n and 45.
8
Let u be -8 - 1*(-3 - -1). Let t = 6/6205 - 676453/111690. Calculate the common denominator of 847/(-210) - (-4)/u and t.
90
Suppose -3*c - 5*o + 6 = 0, -5*c + o = -8 - 2. What is the least common multiple of 6 and (c + -1)*-2 - -11?
18
Let o be 76/18 + (-4)/18. Find the common denominator of (-12)/(-6) + (-74)/6 and -3 + 1 - (-94)/o.
6
Let z be 2*2/(-4)*-3. Suppose 0 = z*r - 9, -6*r = -5*a - r + 220. Calculate the common denominator of 216/99*(-6)/8 and a.
11
Let i(t) = -3*t - 14. What is the smallest common multiple of 16 and i(-8)?
80
Suppose -l - 2*l = x, 0 = 3*l + 5*x + 12. Calculate the common denominator of l + (-1)/(-20) - -2 and (-85)/(-18) + (-3 - 0).
180
What is the common denominator of -37/16 and ((-1)/(-8))/(-4 - (-3854)/968)?
144
Let k = -685 + 7542/11. Find the common denominator of -38/11 and k.
11
Let r(q) = q. What is t