t is the common denominator of d and j?
8
Let g(n) = -n + 4. Let w be g(6). Let t = w + 1. Calculate the common denominator of t*(1 - 12/14) and 13/9.
63
Let b = -88127/15858 + 3/1762. Let p = -365 + 1213. Calculate the common denominator of p/(-90) - (-6)/27 and b.
45
Suppose -1 = -2*i + 1. Let b = 7 + i. Calculate the lowest common multiple of 6 and b.
24
Suppose -5*v + 0*v = -3*n - 1241, 415 = -n + v. Calculate the common denominator of 35/(-14)*7/(-2) and n/144 - 2/12.
16
Calculate the common denominator of (-81)/60 - (1 - -1) and 12/(-128)*6 + 0.
80
Let j be (1 - 82)/3 + -2. Calculate the common denominator of (3/(-24))/(4/(-142)) and j/(-2) - (0 + 1).
16
Let z(q) = q + 4. Let i(b) = 2*b + 5. Let r(d) = 2*i(d) - 3*z(d). Calculate the smallest common multiple of r(9) and 6.
42
Let y(h) = -h**3 + 7*h**2 + h. Suppose -3*v - 2*t = -0*t - 11, t - 7 = -3*v. Suppose 2*m = 5 + v. What is the smallest common multiple of y(7) and m?
21
Let p = 14 - 11. What is the least common multiple of 2 and p?
6
Let k(v) be the second derivative of -v**4/12 - 5*v**3/6 - 2*v**2 + 3*v. Let y(x) = 8*x + 1. Let f be y(-1). Find the common denominator of k(f) and -31/5.
5
Let i = 177206 + -1237780/7. Let n = i + -27341/70. What is the common denominator of 17/10 - (0 + -1) and n?
10
Let s(o) = o**3 - 6*o**2 + 5*o - 8. Calculate the lowest common multiple of s(6) and 12.
132
Suppose 0*k - 4*k = 2976. Let a = 5251/7 + k. Let i(x) = -3*x**3 - 2*x**2 + 2. Calculate the common denominator of i(-2) and a.
7
Suppose 0 = -2*t + 5*a - 6, -t - 2*a = 4 - 1. Calculate the common denominator of 3 + (-52)/18 - t and 43/10.
90
Let d(o) = -o**3 + 11. What is the least common multiple of 8 and d(0)?
88
Let b = 248 + -1720/7. What is the common denominator of 0 - (-27)/33 - 0 and b?
77
Let i = -2691/365 - 77/146. Let d = -12 + 25. What is the common denominator of ((-1)/3)/(1/d) and i?
30
Suppose -19*a + 15 = -16*a. Let r = 26 - 15. Calculate the least common multiple of r and a.
55
Let f = 6987 + -153677/22. What is the common denominator of (-630)/(-81) - (2 - 0) and f?
198
Let f be 1 - (-1 + (-186125)/22). Let h = f + -8459. Find the common denominator of h and 145/12.
132
Let m = 25 - 3. What is the lowest common multiple of (171/38)/(6/8) and m?
66
Let x(o) = o**3 + 5*o**2 + 4*o. Let w be x(-5). Let c(b) = -2*b + 4. Let s be c(-5). Find the common denominator of (-165)/35*s/w and 14/9.
90
Let c = -37 + 55. Suppose -3*j - c = 4*x + 2*j, -3*x + j - 4 = 0. Find the common denominator of (-9)/66*-18*x and 73/6.
66
Let j = -18489 + 222013/12. Calculate the common denominator of -41/30 and j.
60
Let z = -11 + 59/6. Find the common denominator of 89/(-15) - (-2)/(-5) and z.
6
Let d = 21 + -11. Let y = -5 + d. Calculate the lowest common multiple of y and (-12)/42 + (-130)/(-14).
45
Let q(k) = 7 - k**3 - k**2 + 0*k**2 - 4*k + 3*k. What is the lowest common multiple of (-2)/9 - 152/(-36) and q(0)?
28
Suppose 0 = -q + 7 + 3. Calculate the lowest common multiple of q and 12.
60
Suppose -d - 6*q = -4*q - 20, -4*d + 66 = q. Calculate the least common multiple of 2 and d.
16
Let h = -1421/6 + 241. Calculate the common denominator of h and 137/6.
6
What is the least common multiple of (-2)/(-4) - (-12)/24 and 2?
2
Let d be (-44 - -9)*(-6)/10. Calculate the common denominator of -149/6 and ((-1)/(-2))/(d/(-138)).
42
Suppose 0*s - 2*s + 44 = 0. Let j(n) = -n**3 - 8*n**2 + 2*n + 3. Let b be j(-8). Let a = b - -23. Calculate the lowest common multiple of s and a.
110
Let s(n) = -3*n**2 - 3*n - 2. Let r be s(-2). Suppose 3*l - 5*l - 2 = 0. What is the lowest common multiple of 5 and (r/(-12))/(l/(-12))?
40
Let h(x) = 4*x + 1. Calculate the least common multiple of h(0) and 3.
3
What is the common denominator of (-8280)/(-1870) + (-6)/(-51) and 27/5?
55
Suppose 0 = 5*g + 2 + 8, 3*x = 5*g + 19. What is the lowest common multiple of 14 and x?
42
Let y(r) = -r**3 + 10*r**2 - 10*r + 19. What is the least common multiple of y(9) and 4?
20
Suppose 70 = -4*s + 11*s. What is the smallest common multiple of s and 9?
90
Let r = -483/65 - -55/13. What is the common denominator of r and (-165)/4*(-14)/21?
10
Let u = -1/32 + 1201/32. What is the common denominator of u and (5/(-6) - -1) + 1976/285?
10
Let k = -399605/39464 + 4/4933. Find the common denominator of k and 77/8.
8
Suppose 5*g + k - 7 = 8, 2*g - 6 = -2*k. Suppose -g*q - 5*a + 64 = 0, 0 = -3*q + 3*a - 25 + 73. What is the lowest common multiple of q and 14?
126
Suppose -y + 5*y + 20 = 0, -5*y - 7 = 3*c. Suppose j = 9 - 3. Calculate the smallest common multiple of c and j.
6
Let m(w) = 3*w**2 - 5*w + 6. Calculate the smallest common multiple of 51 and m(3).
306
Suppose 2*w - 5*w - 35 = 2*a, w + 5*a = -29. Let p be (w - 2/(-2)) + 2. Find the common denominator of 45/2 and (-3)/10*(-46)/p.
10
Let q = 1232807/44 - 28016. Find the common denominator of 65/2 and q.
44
Let z = 58 + -20. What is the common denominator of z and (((-146)/(-6))/(-1))/(-2)?
6
Let n = 59 + -51. Suppose 6*w = 3*w + 12. Calculate the lowest common multiple of w and n.
8
Let p = 13/2 + -1. Let w = -5/18 - 209/90. Calculate the common denominator of p and w.
10
Suppose -4*b + 6*w - w = 98, -2*b = 4*w + 36. What is the least common multiple of 2 and (32/(-5))/(b/55)?
16
Let f = 22 + -38. Calculate the common denominator of f and -21.
1
Let c be (0 - (-3 + -3))/(-1). Let u = 6 + c. Suppose u = -3*b + 17 - 110. Find the common denominator of b and -23/8.
8
What is the common denominator of (-8)/(-20) - 4/7 and 4/7?
35
Suppose -14 - 48 = 2*g. Let p = 19 + g. What is the common denominator of p/16*40/(-14) and -3/11?
77
Let j(m) = m**3 + 12. Let s(v) = v**2 + 3*v + 1. Let o be s(-2). What is the lowest common multiple of j(0) and (-1 + 9)/((-1)/o)?
24
Suppose n + 2*j - 20 = 0, 4*n = n - 5*j + 55. What is the lowest common multiple of 1/(-4) + (-250)/(-40) and n*(1 + 9/(-15))?
12
Let b be (-4)/(-10) - (-3237)/(-30). Let y = -67 - b. Calculate the common denominator of y and 57/4.
4
Let j(x) = -12 + 5*x**3 - 6*x - 9*x**3 + 17*x + 5*x**3 - 10*x**2. Calculate the least common multiple of 10 and j(9).
30
Let y = 33 - 15. Calculate the least common multiple of 20 and y.
180
Calculate the common denominator of 55/6 and (-6)/(5/((-345)/48)).
24
Suppose 5 = 5*a, 0 = -5*c - 4*a + 11 + 13. Suppose k - 5*f = 37, -k = -c*k + 4*f + 78. Calculate the lowest common multiple of 7 and k.
154
Suppose 2*v = -0*v + 6. Suppose 2*k - v*k = 1688. Let t = 10063/6 + k. Calculate the common denominator of 12/7 and t.
42
Let m(t) = -t**2 + 6*t - 1. Suppose -2*i = -2*l - 12, -2*l + 5*l = -5*i - 2. Let d be 5/((i + -1)*1). Calculate the smallest common multiple of 6 and m(d).
12
Let y = -3077/3 - -1036. Calculate the common denominator of y and 97/14.
42
Suppose -2*b + 21 - 5 = 0. Suppose -3*c + 3*v + 13 = b*v, 3*c + v - 17 = 0. Let p = 165 - 161. What is the lowest common multiple of p and c?
12
Let v(x) = -x**2 + 3*x + 2. Let a be v(3). Suppose 4*o + 4*f = 12, -a = -3*o + 4*f - 0. Calculate the common denominator of 9/4 and -2 + (o - 94/(-4)).
4
Let g be (2 - 1)/((-2)/4). Let c = g - -4. Calculate the least common multiple of 7 and 8*(5/c + -2).
28
Suppose 4*p = 3 + 9. Let g = -28/199 + -5065/2189. Find the common denominator of g and (122/48)/((-1)/p).
88
Let f = 16 - 12. Calculate the lowest common multiple of 6 and f.
12
Let p(k) = -10*k - 1. Let c be p(-1). Calculate the common denominator of -113/14 and ((-91)/(-3))/(6/c).
14
What is the least common multiple of -1 + -1 - (6 + -12) and 4?
4
Let s = 9460 + -208073/22. What is the common denominator of 69/20 and s?
220
Let r be (3 + -1)/(-1) - -491. Let a = -585442 - -5849471/10. Let b = a + r. Find the common denominator of -71/20 and b.
20
Let q = -10009436707/1550028 + 144/129169. Let b = q + 6454. Find the common denominator of b and -47/18.
36
Let s = 115/77 - 39/44. What is the common denominator of -91/16 and s?
112
Calculate the lowest common multiple of ((-15)/9 - -1)*-15 and 3.
30
Suppose -g - 2*i = i + 13, -5*g + 2*i = -3. Let m be (-1)/(-2 + 2 - g). Find the common denominator of 63/22 and 0/m + (-87)/22.
22
Let m be 1 + -2 + 4/2. Suppose 5*i - 2 - m = -2*r, 4*r = -3*i + 41. Suppose -r + 44 = 3*g. Calculate the lowest common multiple of g and 10.
