
Let v(h) = -h**3 - 6*h**2 - 4*h - 3. Let w be v(-6). Suppose 4 = 5*b - w, 3*t - b = 64. What is the common denominator of -27/5 and t?
5
Suppose 2*l - 40 = -4*n, 4*n - 2*l - 20 = 2*n. What is the least common multiple of 10 and n?
10
Let i = 2/99 + -1129/1980. Calculate the common denominator of 6/(-9)*74/8 and i.
60
Let i(x) be the first derivative of 2*x**3/3 + 5*x**2/2 + 6*x - 3. What is the lowest common multiple of 10 and i(-4)?
90
Suppose -5*j = -14*j + 360. Calculate the smallest common multiple of j and 16.
80
Suppose 4*q + 30 = 2*q. What is the lowest common multiple of ((-36)/q)/(4/10) and 20?
60
Let q = -1 + 3. Suppose 7*x - 27 - 127 = 0. What is the least common multiple of q and x?
22
Calculate the common denominator of (1 + 308/(-12))/2 and 27.
3
Let k = -10217/6 + 6839/4. Calculate the common denominator of k and -43/20.
60
Let z = -10/39 - -371/78. Let u = -4601/91 + 700/13. Calculate the common denominator of z and u.
14
Let r(p) = p**2 - 2*p**2 + p - 2*p**2 + 2 - p**3 + 3*p**3. Suppose 3 = q + 4, 0 = -3*w + 4*q + 16. What is the least common multiple of w and r(2)?
8
Let l = -134 + 14. Find the common denominator of (-2)/(-6) + (-398)/l and -83/28.
140
Let p = 66 + -46. What is the lowest common multiple of p and 34?
340
Suppose -2*s - 68 = -6*s. Calculate the least common multiple of s and 2.
34
Let s = -3851/60 + 269/4. Calculate the common denominator of -125/6 and s.
30
Let s be (-52791)/21 + (-4)/14. Let r = s + 2509. Calculate the common denominator of -37/3 and r.
21
Let n(f) = f**3 - 25*f**2 - 27*f + 31. Calculate the smallest common multiple of n(26) and 1/(-3) + (-40)/(-12).
15
Let a be (-40 - 0)*1/(-1). Suppose a = -0*r + 4*r. Calculate the least common multiple of 10 and r.
10
Let d = 28/36501 + 4983873/705686. Let s = d - 20/87. Calculate the common denominator of -103/10 and s.
30
Let c(w) = w + 5. Suppose 0 = 4*q + 9 + 19. Let h be c(q). What is the least common multiple of 3 + (1*h - 0) and 11?
11
Suppose -3*z + 2*k + 271 = 0, 3*z - 5*z + 199 = -5*k. What is the common denominator of -121/6 and 3/(-1 - (-81)/z)?
6
Let o(t) = t - 1. Let q be o(-5). Let x be q/10 - (-6)/(-15). Let d(m) = -12*m**3 - 2*m**2 - m. What is the least common multiple of 6 and d(x)?
66
Let f(z) = -3*z - z + 1 - 2*z + 7*z. Let v be f(-2). Calculate the least common multiple of 20 and (-1 + v)*1 + 22.
20
Let z(n) = -n**3 + 5*n**2 - 3*n - 3. Let r be z(4). Suppose -a - 2 = -r. Let p = 13 + a. What is the lowest common multiple of p and 22?
132
Let w = 4 - -30. Find the common denominator of -73/6 and w.
6
Let o(y) = 3*y**2 - y. Let v be o(2). Calculate the common denominator of (-5)/v + (-53)/(-4) and 1 + -1 - 166/8.
4
Find the common denominator of ((-2)/5)/((-364)/2065) and -79/20.
260
Calculate the common denominator of 47 and 76*(145/(-40) - -4).
2
Suppose -341 = -4*f + 5*f. Find the common denominator of f/40 + (-6)/10 and -109/20.
40
Calculate the lowest common multiple of (-1)/(-4) + 2/(8/23) and 9.
18
Let s = -23 - -469/18. What is the common denominator of s and 89/8?
72
Let o = 11 - 7. Calculate the smallest common multiple of o and 10.
20
Let p = 8 + -4. Suppose 2*l = p*l - 12. What is the lowest common multiple of l and 12?
12
Let g = -16 - -28. Calculate the lowest common multiple of g and 8.
24
Let g = 9 - -10. Let a = g - 10. Calculate the lowest common multiple of 8 and a.
72
Calculate the common denominator of 1230/(-125)*(-10)/(-8) and 0 - ((-4532)/(-24))/(-11).
30
Let x(t) = t**2 + 7*t + 6. Let q(c) = -1 + 0*c - c**2 + c + 0. Let r be q(3). Calculate the least common multiple of x(r) and 22.
66
Suppose 2*x - 2 = 5*s - 42, s + 2*x = -4. Suppose s = -2*q + 5*q. Suppose 53 = 5*u + h, -2*u + q*h - 1 = -15. Calculate the least common multiple of u and 5.
10
Let h = 1452 - 7212/5. What is the common denominator of 10/3 and h?
15
Suppose 2*g - 29 = -v - 4*v, 5*g - 15 = -v. Suppose v*h - 55 = -15. Let r(d) = d**3 - 6*d**2 + d + 4. Calculate the lowest common multiple of h and r(6).
40
Let v be (-4)/(-8) - 98/4. Calculate the common denominator of 49/5 and 1 + -1 + 176/v.
15
Let k(h) = 1 + 2*h**2 - 2*h + 5*h - 5*h - 5. Let b be k(-4). Calculate the common denominator of (38/b)/((-3)/(-45)) and 11/2.
6
Suppose -10*z + 670 + 250 = 0. What is the least common multiple of z and 6?
276
Let j be 3 - 1 - -2 - 2. Suppose 3*p + j*p = 110. Suppose 4*k - 8*k = -a + p, -24 = -2*a + 4*k. What is the lowest common multiple of a and 11?
22
Suppose -q + 0 + 1 = 0, -j - 4*q + 6 = 0. Suppose 0 = -3*g + 147 - 48. Let t = g + -22. What is the least common multiple of j and t?
22
Let m = -47353/6 - -7874. Calculate the common denominator of m and -95/6.
6
Suppose 35 = l + 11. Calculate the common denominator of 12/l - (-19)/(-2) and 101/4.
4
What is the common denominator of -123/10 and 202/(-16) + 12/6?
40
Let l = 259733/25 + -10388. Find the common denominator of l and -69/50.
50
Let p = 8 + -7. Let q be -1048 + p + 0 + -2. Let o = -11483/11 - q. What is the common denominator of o and 34/9?
99
Let x = -3144/275 - 2152097/3300. Let f = x - -665. What is the common denominator of f and (1*(-194)/4)/11?
132
Suppose 3*f - l + 25 = 11, -l - 6 = 2*f. Calculate the lowest common multiple of 4 and (18/f)/(7/(-28)).
36
Let c = 81 - 1233/14. Find the common denominator of -101/20 and c.
140
Let n(v) = -8*v - 2. What is the least common multiple of n(-1) and 6?
6
Let f = -536227/14 - -38278. Let m = 49734/17 - 2770059/952. Let b = m + f. What is the common denominator of b and 97/12?
24
What is the common denominator of (-1 - (-2 - -4)) + (-343)/(-238) and -97/12?
204
What is the least common multiple of -2*(3/(-2) + 2) + 46 and 15?
45
Suppose 0 = -2*d + 3*g + 25, -2*d + 2*g + 30 = -2*g. Suppose -5*h - 73 = -18. Let m = 18 + h. Calculate the smallest common multiple of m and d.
35
Calculate the least common multiple of 12 and 4 + (2/9 - (-64)/36).
12
Let r(a) = -2*a**3 + 4*a**2 + 7*a + 2. Suppose -4*j + 20 = j. Calculate the lowest common multiple of j and r(-2).
20
Let z(v) = 5*v - 7. Let h(y) = -4*y + 7. Let s(a) = -3*h(a) - 2*z(a). Calculate the lowest common multiple of 5 and s(6).
5
Let o = -51/22 - -149/88. Suppose 3 - 18 = -3*r. Find the common denominator of (-10)/11*r/(-4) and o.
88
Let h = -8905/732 + 127/61. Find the common denominator of h and 93/20.
60
Suppose -5*i = -2*s - 94, -2 = -4*s + 10. What is the smallest common multiple of 16 and i?
80
Calculate the common denominator of (-8)/(-2) - 252/44 and (26/(-18))/(2/6).
33
Suppose b - 30 = 4*b. Find the common denominator of (-12)/b*340/(-16) and 77/8.
8
Suppose -8 = 2*v, 2*u + 3*u = -4*v + 54. Calculate the least common multiple of u and 5/((-15)/18)*-1.
42
Calculate the lowest common multiple of 4 and (-161)/(-28) - 3/4.
20
Suppose -5*z + 5*d + 5 = -15, -4*z + 5*d = -18. Suppose 3*r - 9 = 3*b, z*r + 52 = 6*r + 4*b. What is the lowest common multiple of r and 14?
56
Calculate the smallest common multiple of ((-4)/(-20) - (-9)/5) + -1 and 11.
11
Let p be (-2)/5 + (-310)/(-25). Let c = p + 4. Calculate the smallest common multiple of c and 4.
16
Suppose 25 - 7 = -3*w. Let r = w + 10. Suppose -2*i - r = 5*f, i + 3*f - 4 = -i. Calculate the lowest common multiple of 6 and i.
24
Let p = 11 - 15. Suppose r = -4*d + 21, 3*d + 4*r = 16 + 3. What is the lowest common multiple of d and 2 + (-28)/p*1?
45
Suppose 5*g - 2 = 3, 103 = 5*k + 3*g. Let w(u) = 6*u - 2. Calculate the least common multiple of w(4) and k.
220
Let y = -6309 + 126221/20. Find the common denominator of -55/8 and y.
40
Let l(v) = 2*v**2 - 4 - v + 5*v**2 - v - 6*v**2. Let u be l(4). Suppose 0 = 5*g - m - 63, -g + 2*m + 6 = u*m. What is the smallest common multiple of g and 16?
48
Let s(b) = -b**3 - 2*b**2 - 3*b. Suppose 4*x = -18 + 58. Suppose -65 = -5*n - x. What is the lowest common multiple of n and s(-2)?
66
Let x = 4 + -2. Let o = -286/3 - -157/2. What is the common denominator of 2/(-16)*113 + x and o?
24
Suppose 2*l + 3*l = 60. Suppose 2*v = 5*m - 76, 53 = 4*m - v - 9. Calculate the lowest common multiple of m and l.
48
Let w = -15 + 26. Calculate the smallest common multiple of 10 and w.
110
Let z = -16 - 11. Calculate the common denominator of -29/8 and (14/12)/(1/z).
8
Let v(a) = -a**3 - 6*a**2 + 6*a - 1. Suppose 2*p = p