 - 4*w - 10. Let x be q(8). What is the smallest common multiple of 5 and x/14 + 8/28?
55
Let y = 6 + -4. Suppose -6*b + y*b + 176 = 0. Calculate the smallest common multiple of 18 and b.
396
Suppose 3*n + 534 = -0*n. Calculate the common denominator of (-9)/6*n/(-66) and 37/16.
176
Let i = 64/11 + -263/66. Let v be (-1)/(-3)*9*-1. Calculate the common denominator of i and -2 + 25/(-4) - v.
12
Suppose -56 = 11*p - 7*p. Let k = 17 + p. Calculate the lowest common multiple of 1 and k.
3
Suppose 3*u + 0*m = -m + 68, 0 = -3*u + 3*m + 48. Find the common denominator of u and 28/11.
11
What is the smallest common multiple of (9/(4 + -1))/(9/12) and 5?
20
Let w = 3605/872 - 1/109. Find the common denominator of -41/14 and w.
56
Let g be (-230)/12 + -1 + -1. Let z = -21 - g. Calculate the common denominator of ((-249)/(-4))/(-3)*-2 and z.
6
What is the least common multiple of 17 - (-3)/12*-4 and 14?
112
Let v = 24 + -14. Let s be ((-8)/(-6))/((-4)/12). Calculate the least common multiple of v and (-81)/s - (-2)/(-8).
20
Let t = 11 - 8. Calculate the least common multiple of 5 and t.
15
Let y = -4536384134127/1117 + 4061220832. Let v = -2053365691/4981820 - y. Let i = 5/223 + v. Find the common denominator of i and -131/12.
60
What is the common denominator of (-70)/(-24)*220/70 and -28/5?
30
Suppose -t + 4*l + 15 - 1 = 0, 0 = -2*t + 5*l + 31. Suppose -102 = -8*v + 26. Calculate the smallest common multiple of t and v.
144
Let n(m) = 311*m. Let y be n(-2). Let q = -16799/27 - y. Let u = q - -485/432. Calculate the common denominator of u and -31/6.
48
Let d(a) = -7*a**3 + 4*a**2 + 8*a + 13. Let x(g) = 6*g**3 - 4*g**2 - 7*g - 12. Let f(h) = 5*d(h) + 6*x(h). What is the least common multiple of f(5) and 7?
56
Suppose -c = -2*h + 5, 8 + 2 = -2*c + h. Let x(d) = d**3 + 4*d**2 - 4*d + 7. Calculate the least common multiple of x(c) and 16.
16
Suppose 37 = 3*j - 23. What is the least common multiple of j and 8?
40
Let o(a) be the third derivative of a**6/120 - a**5/60 + a**4/24 - 13*a**3/2 - 8*a**2. What is the common denominator of o(0) and -29/3?
3
Suppose -2*h = 2*y + 8, -2*y + h + 0 = 8. Find the common denominator of (-7)/y*(-21)/6 and 2/5.
40
Let u = 150 - 99. Suppose 3*s + 18 = u. What is the lowest common multiple of 11 and s?
11
Let p = -1 + 15. Suppose 0 = 2*f - 4*v + 4, 2*f - v + 16 = 4*f. What is the least common multiple of f and p?
42
Let v(b) = -b**2 - 5*b + 8. What is the smallest common multiple of v(-6) and 7?
14
Suppose 0*g + 24 = 6*g. What is the least common multiple of 6 and g?
12
Let n = 56 + -51. Calculate the smallest common multiple of 101 and n.
505
Suppose -7*k + 5 = -6*k. What is the lowest common multiple of 11 and k?
55
Let x be (-22)/3 - (-2)/6. Let a = x + 10. Calculate the least common multiple of a and 1.
3
Let p = 3551 + -78157/22. What is the common denominator of 15/4 and p?
44
Let t be (0/(-2 + 0))/2. Suppose 0 = -t*x - 2*x - 2. What is the common denominator of -31/10 and (x - (-69)/4) + 0?
20
Suppose -5 = -q, -6*u + q = -3*u - 16. What is the least common multiple of u and 5?
35
Let g(j) = -j + 1. Let f(a) = a**2 - 5*a + 2. Let q(x) = f(x) - 6*g(x). Let o = -1 + -2. What is the least common multiple of q(o) and 2?
2
What is the common denominator of -53/24 and (-14)/(-16)*38/(-49)*-5?
168
Suppose -z + d - 2 = -1, -15 = -3*d. What is the least common multiple of z and 7?
28
Calculate the common denominator of ((-170)/15)/(24/(-11)) - 1 and 49/9.
36
Suppose 3*b + b - 32 = 0. What is the least common multiple of b and (0 - -3) + 2/2?
8
Let t(x) = 7*x**3 - 11*x - 1. Let n(c) = -20*c**3 + c**2 + 32*c + 4. Let a(p) = -6*n(p) - 17*t(p). Calculate the least common multiple of 2 and a(7).
14
Suppose -4*x + 18 = -2. Let i = -2 + x. What is the lowest common multiple of 6 and 22/i - 6/(-9)?
24
Let p = -73 - -97. Calculate the lowest common multiple of p and 12.
24
Let g = -5229/11 - -480. What is the common denominator of g and 8/(-20) + (-243)/5?
11
Suppose 264 = 9*g + 2*g. Calculate the lowest common multiple of 36 and g.
72
Suppose 1 = -7*i + 8*i. Calculate the smallest common multiple of 2 and i.
2
Suppose 4*k = 58 + 14. What is the smallest common multiple of 4 and k?
36
Let d be 64/5 - 0/1. Let i = d + -11/5. Calculate the common denominator of 52/5 and i.
5
Let m = 1439295947/118476 + -67/59238. Let s = 12140 - m. What is the common denominator of -41/8 and s?
24
Let u = 2 - -5. Calculate the common denominator of 14 and (1/u)/(1/(-41)).
7
Find the common denominator of 21/5 and 9/(-12)*485/(-15).
20
Calculate the common denominator of (194/(-10))/((-28)/(-10) + -4) and -43.
6
Suppose 6 = 3*v, -x - 3*v + 17 = -1. Let c be (1 - 0)/(1/3). Suppose -c*b - 2*b - s = -81, s = b - 15. What is the smallest common multiple of b and x?
48
Let f(l) = -l. Let d be f(-1). Calculate the common denominator of (d + 5)*33/(-16) and -85/8.
8
Find the common denominator of (-32)/(-14) + -2 + 198/(-504) and 13/12.
84
Let x = -433621/224 + 13564/7. Find the common denominator of 95/24 and x.
96
Let y(j) be the first derivative of -5*j**2/2 - 3*j + 1. Calculate the lowest common multiple of 4 and y(-2).
28
Let n = 3 - -2. What is the smallest common multiple of n and 3?
15
Suppose 5*m + 10 = 0, -2*m = 5*d + 37 + 17. Let h = 18 + d. Calculate the lowest common multiple of 8 and h.
8
Let c(p) = -6*p. Let a be c(-1). Suppose 4*r = 2*t - a, -2*r - 21 = -4*t + 9. Suppose -13*y + 9*y = -20. What is the least common multiple of t and y?
45
Let c = 8 - -12. Suppose -2*p = -5*h + c, -5*h + 2*p = 4*p - 40. Calculate the least common multiple of h and 26.
78
Suppose -3*d - 4*k + 3 = -1, -1 = -2*d - 3*k. What is the least common multiple of d and 14 + -2 + -2 + 2?
24
Let k = 15867 + -52729/3. Let o = k - -1687. Find the common denominator of o and -26/9.
9
Let i = 20 - 6. Calculate the common denominator of -27/5 and (-8)/i*38/(-4).
35
Let u(i) = i. Suppose 3*n - 11 = -29. Calculate the least common multiple of ((-1)/2)/(n/36) and u(7).
21
Let q(h) = 2*h + 9. Let a be q(9). Let z = a + -14. What is the lowest common multiple of 2 + (-1)/1 + z and 20?
140
Let s = 12096 - 120853/10. Find the common denominator of s and (3/8)/((-6)/(-146)).
40
Let f be 6/(-1) + (1 - -1). Calculate the smallest common multiple of 20 and 8 - 0*f/(-16).
40
Let r be 5 + 0 + -2 + -1. Suppose -2*k + 3 = -5*c, 2*k = r*c - 2*k + 14. Let y(m) = m**2 + 5. What is the smallest common multiple of y(0) and c?
5
Let i(w) = -4*w + 5. Let j be i(4). Let r = j + 12. Calculate the least common multiple of r and 8.
8
Let o be 1*(4 - 0)*4. Suppose 5*n + z - o = -z, 4*z + 12 = n. Calculate the least common multiple of n and 9.
36
Let v = 9 - 9. Suppose 4*t + 3*p - 83 = 0, -t + v*t = p - 22. Let z = t + -11. Calculate the least common multiple of 1 and z.
6
Find the common denominator of 546/8*(-2)/24 and 63/38.
304
Let v = 4 - 7. Let g(y) = 3*y. What is the smallest common multiple of g(2) and 19 - (3*v)/(-3)?
48
Suppose -5*v - 19 = -74. Suppose 3*y = 26 + 7. What is the lowest common multiple of y and v?
11
Let g(t) = t**2 - 5*t - 4. Let s be g(5). What is the common denominator of 10/18*171/(-6) and s/(-18)*279/(-12)?
6
Let s = 956103/5 - 192559. Let x = -26891/20 - s. Calculate the common denominator of x and 103/6.
60
Let n(f) = -f**2 + 5*f. Let y be n(6). Let i be ((-38)/(-4))/(y/180). Calculate the common denominator of 20 and (4/(-15))/(6/i).
3
Let b(s) = s - 1. Let t be b(1). Suppose -x - 5 = -3*m, t = 2*m - 3*x + 4*x - 5. What is the lowest common multiple of m and 8?
8
Let o = 48 + -78. Let w = o + 80. Suppose 0 = 3*d + 17 - w. Calculate the smallest common multiple of 10 and d.
110
Suppose 0 = -7*v + 3 + 46. Suppose -5*u + 6 + 14 = 0. What is the smallest common multiple of v and u?
28
Let i = 3727/154 - 178/7. Let k = 45929/10 + -4584. Calculate the common denominator of k and i.
110
Let v be (-220)/14 + -3 - 0. Let a = 221/14 - v. Let f = -54/19 - 633/38. What is the common denominator of a and f?
2
Suppose 4*a = 2*a + 14. Calculate the lowest common multiple of a and 3.
21
Let d = 47031/10168 - 1/2542. Find the common denominator of (-338)/40 - 3/(-12) and d.
40
Let j be -1 + (10550160505/(-936) - -3). Let s = j + 11271530. Let u = s + 44/117. What is the common denominator of