v**3 - 3*v**2 - 3*v - 1. Let x = -53 + 52. Calculate the least common multiple of 40/50*(1 + (-39)/(-6)) and b(x).
18
Find the common denominator of (-1425)/6048 + -1 + 7*6/49 and 137/240.
1440
Let p = 24835 - 24723. Calculate the lowest common multiple of p and 4466.
35728
Suppose -6*s + 9*s = 0, 0*u - 176 = -u + 3*s. Calculate the smallest common multiple of u and 220.
880
Suppose 4*b + 120 = 4*k, -3*k = -0 + 6. Calculate the common denominator of (-10)/8*2*23/(-3) and (1/(-4))/(b/(-912)).
24
Let s be (65824/(-33))/17 + 4/3. Let c = 128 + s. What is the least common multiple of 50 and c?
300
Suppose 0 = h + 18 - 19, -2*h + 2274 = 4*d. Calculate the smallest common multiple of d and 142.
568
Let l = 27346635/292 - 93653. Find the common denominator of l and -103/416.
30368
Let i be -4 - (-135547 + -1)*15/2600. Let p = 778 - i. Let y = 3284/195 + p. Find the common denominator of y and 109/12.
12
Let n = 59 + -51. Let y be 6/n - ((-441)/(-12))/(-3). Calculate the common denominator of -1*y*10/(-6) and 4/29.
87
Let i(g) = -6*g**2 + g + 8. Let w be i(4). What is the lowest common multiple of (-8 - -1)/(14/w) and 30?
210
Let h = -213 + 127. Let l = h + 108. Calculate the smallest common multiple of 20 and l.
220
What is the common denominator of (-10 - 0)/((-6688)/34) and -43/760?
8360
Let y = 3517/5364 + -5/298. Calculate the common denominator of y and ((-52)/(-16))/(15/18).
180
Suppose -1638 = -23*z - 9*z - 7*z. Suppose 5*s - a + 1 = 2*s, 0 = -a + 4. Calculate the lowest common multiple of s and z.
42
Let n = -225 + 521. Suppose -3*y - n + 329 = 0. What is the lowest common multiple of 35 and y?
385
Suppose 0 = -4*i + 5*c + 82, 100 = -181*i + 186*i - 5*c. Suppose 2*n - 20 = -s, -n - 2*n + s + 20 = 0. What is the smallest common multiple of i and n?
72
Let f be 5074/(-28)*((-2247)/(-36) - 0). Let s = 11309 + f. Find the common denominator of s and (91/(-20) + -2)*(-60)/(-72).
24
Suppose 35*f - 22*f - 234 = 0. Suppose -28*a + f*a + 720 = 0. Calculate the smallest common multiple of 10 and a.
360
What is the least common multiple of 621 and 10/((0 + 2/10)/(72/40))?
6210
Let v(d) = 2*d**3 + 16*d**2 - 16*d + 18. Let f be v(-9). Suppose f = 19*s - 15*s - 64. Calculate the lowest common multiple of s and 4.
16
Let j(g) = -43*g - 34. Let f be j(-1). Let l(t) = 8*t - 60. Calculate the smallest common multiple of l(f) and 724.
2172
Suppose 27 + 133 = 4*q. Suppose 0 = m + m - 56. Calculate the lowest common multiple of q and m.
280
Suppose -31*r + 464048 = 248*r + 20*r. What is the smallest common multiple of r and 10?
7760
Suppose -28*d + 17363 + 7732 = -12425. Calculate the least common multiple of 67 and d.
1340
Suppose 13 = 5*k + 2*r, -6*r + 3 = -9*r. Let m = 1287 - 34763/27. What is the common denominator of m and ((-41)/k - -5)*4/30?
135
Suppose 19*b - f = 18*b + 95, 5*b = 2*f + 502. Calculate the lowest common multiple of 832 and b.
832
Let i be ((-33)/(-11))/(1 + -2) - -321. Suppose 0 = 7*j + 18 + i. What is the lowest common multiple of j/(-10)*(-15)/(-6) and 22?
132
Let b be (((-637914)/(-16))/3)/(2 - -5). Let w = -3799/2 + b. Calculate the common denominator of 46/77 and w.
616
Let f = -52 + 40. Let r be ((-21)/f)/(-4 + 65/16). Suppose -33*j = -r*j - 165. Calculate the least common multiple of j and 12.
132
Suppose 2*f = 2*g - 10, -4*f - 10 = -19*g + 17*g. Let c(w) = 12*w**2 - 45*w - 3. What is the lowest common multiple of c(g) and 72?
72
Let j = -20021 - -8949391/447. Let b = j + 984/1043. Let z = -79493/30 - -2648. Find the common denominator of b and z.
210
Let q(z) = z**3 + 14*z**2 + 21*z - 6. Let x be q(-3). Calculate the least common multiple of x/4 - (-60)/40 and 122.
1098
Suppose 4*a + 3*c = 7563, -5*a - 3*c + 3099 = -6354. What is the smallest common multiple of 945 and a?
1890
Suppose -2*r = -155*w + 158*w - 28, 4 = -w + 2*r. Suppose 1 = l - 20. Calculate the smallest common multiple of l and w.
42
Let u(d) = -6*d**2 - 1. Let b be u(1). Let v be b/28 - (-1209)/4. Find the common denominator of -38/55 and 10/50 - (v/110 + -2).
55
Let h(b) = 2*b**2 + 6. Let c be h(0). Suppose -c*i - 4 = -5*i. What is the smallest common multiple of 33 and ((-66)/i)/((-14)/(-28))?
33
Let b(a) = -a**2 - 1. Let q(y) = -3*y**2 + 34*y - 24. Let v(r) = 4*b(r) - q(r). What is the lowest common multiple of 8 and v(-34)?
40
Let m = -284631 - -179032939/629. Find the common denominator of -28/289 and m.
10693
Let r(u) = -11*u**2 - 17*u + 29. Let i(c) = 2*c**2 + c - 1. Let w(s) = 5*i(s) + r(s). What is the least common multiple of w(-12) and 30?
120
Let n = -6020/11 - -433319/792. Let p = -637925/36 - -17719. Calculate the common denominator of p and n.
72
Let i = -6176 - -6179. Calculate the smallest common multiple of i and 763.
2289
Let z(x) = x**2 + x + 2. Let t be 402/24 - ((-3)/4)/(-1). Suppose 6 - t = -a. Calculate the lowest common multiple of a and z(-3).
40
Suppose -8 = -o + 4*z - 24, 4*o = 3*z + 1. Suppose -2*j + 5*x = 4*x - 8, 3*j - 12 = x. Calculate the smallest common multiple of j and o.
4
Suppose -163*a + 174*a = 99. What is the common denominator of 91/404 and a?
404
Let t(a) = 15*a**2 - 35*a - 10. Let i(u) = u**2 + 2*u + 1. Let w be i(-3). Suppose 21 = -w*h + 101. Calculate the least common multiple of h and t(3).
20
Let g be (12 - 13)/(1/(1557/1)). What is the common denominator of -77/2 and (9 - g/(-144))/(-1)?
16
Find the common denominator of -28/225 and (3/(-54))/(4/(-123)*3).
1800
Suppose -b - 13 = -9*i + 4*i, 9 = 3*i. Let c(a) = a**2 + 4*a - 3. Let y be c(-4). What is the lowest common multiple of y/((b/(-1))/4*2) and 24?
24
Let v(u) = -29*u + 167. Calculate the smallest common multiple of 5960 and v(5).
65560
Let x(v) = -v**2 - 33*v - 10. Let y be x(-10). Let r = -11863 + 237187/20. Find the common denominator of r and (-16)/80 + 1/(y/(-71)).
220
Let z(t) = t + 1. Let q = 50 + -47. Suppose d = -2*f + 7, q*f = -d + 6*f + 2. What is the least common multiple of 10 and z(d)?
30
Let x(f) = 3*f**3 - 20*f**2 - 3*f - 4. Let a be 322/69*(-9)/(-6). Calculate the smallest common multiple of 30 and x(a).
120
Let w(y) = -y + 18. Let x(v) = 4*v - 74. Let a(j) = 9*w(j) + 2*x(j). Calculate the least common multiple of 36 and a(6).
72
Let i = 25887312421/6978 - 3709847. Find the common denominator of i and 97/30.
34890
Let d = -116/2225 + -5443/160200. What is the common denominator of -37/2460 and d?
14760
Let t = -5684 + 5873. What is the smallest common multiple of t and 756?
756
Let s be (10/4)/(4/8). Suppose -r - s*m - 27630 = 0, 2*r = -2*r - 5*m - 110550. Let f = 995113/36 + r. Find the common denominator of f and 35/18.
36
What is the common denominator of (-393)/(-10556) - (-218)/(-6322) and 53/36?
3276
Let x = 81503 - 52080391/639. Calculate the common denominator of 39/4 and x.
2556
Let i(g) = 60*g + 50. Let c be i(5). Let q = c + -3497/10. Let x = 1094 + -9836/9. Find the common denominator of q and x.
90
What is the common denominator of 7/(-5) + 9 + 2863/70 and -4/11265?
22530
Let i = -3568/65 + 34141/624. Find the common denominator of i and -13/150.
1200
Let n = -1/1296464 + -36528197309/9075248. Let x = -4026 - n. Calculate the common denominator of x and -2 - (-2 + 70/36).
252
Let q(s) = 2*s + 38. Let v be q(-19). Suppose v = -h + d + 4*d - 3, 4*h - 3*d = 39. What is the common denominator of ((-711)/h)/(9/6) and -77/10?
10
Let h(f) = f**3 - 23*f**2 + 61*f - 17. Let d be h(20). Let v = d - -5. Calculate the smallest common multiple of 127 and v.
1016
Let s be (2/4*-4)/(-1). Suppose c + 33 - 203 = -5*o, 5*o - 140 = 5*c. What is the least common multiple of o and s*12/2 - (3 + 0)?
99
What is the least common multiple of 28 and (140/(-3))/((-11)/((-396)/(-24)))?
140
Let s(i) = -i**3 + 3*i**2 + 3*i + 2. Let b = -168 - -166. Calculate the lowest common multiple of s(b) and 10.
80
Suppose -3*b = 9, 3*b + 668 = 4*i - 429. Calculate the smallest common multiple of 86 and i.
11696
Let o = -7502233/14697 + 11739/23. What is the common denominator of -74/639 and o?
639
Let l be -3*(-50)/(-480)*44516/30. Let n = l - -1354/3. Find the common denominator of ((-34)/(-40))/(4/10) and n.
8
Let a = 34 - 14. Calculate the smallest common multiple of ((-85)/(5355/(-1512)))/(3/12) and a.
480
Let y be 3/(-33)*-5*(-351952)/200. Let r = 800 + y. Find the