f u and 4.
4
Suppose 3*b = -2*b + 15. Calculate the lowest common multiple of 2 + 0 + (-8)/(-1) and (-14)/b*(5 - 8).
70
Suppose 7*c = 10*c + 2769. Let o = 1755/2 + c. What is the common denominator of -5/18 and o?
18
Let k(c) = c**3 - 4*c**2 + 4*c. Let f(s) = 5*s - 1. Let z be f(1). What is the least common multiple of k(z) and 8?
16
Let r = 19004/11 - 1726. Calculate the common denominator of r and ((-345)/330 + 1)/(1/(-90)).
11
Let n = 0 - -4. What is the smallest common multiple of 5 and n?
20
Let t = 22657 - 906213/40. Calculate the common denominator of t and 37/8.
40
Let t = -14913/20 - -3734/5. Let k = -34663/10 + 3473. What is the common denominator of t and k?
20
Let a(w) = -w**3 - 8*w**2 + w + 8. Let l be a(-8). Suppose 5*b - 3*f - 52 = l, 3*f - 4 = -2*b - 0*f. What is the smallest common multiple of b and 4?
8
Suppose 4*d + 38 = 3*o, 2*o + d = 3*d + 24. Calculate the smallest common multiple of 9 and o.
90
Let r(b) = b**3 - 6*b**2 + 4*b - 4. What is the smallest common multiple of 24 and r(6)?
120
Let j(k) = 3*k + 3*k + k + 1 - k**2 + 5. Let b(d) = d + 4. Calculate the smallest common multiple of b(4) and j(7).
24
Let s = -12 - -30. Let b = 6 + -6. Suppose 4*z = 4*p - 24, b*p = 5*p - z - 30. What is the least common multiple of s and p?
18
Calculate the common denominator of ((-5)/18)/(68/(-1479)) and 23/16.
48
Suppose o + 1011 = 3*g, -o - o - g - 1987 = 0. Let k = o - -7957/8. Find the common denominator of k and -55/8.
8
Let c be (-5)/2*(-3 + 1). Suppose -2*p = -4*f + f + 14, -f + c = -p. What is the smallest common multiple of f and 4?
4
Suppose -u - 5*y = -20, 3*y = 6*y. Let x = -16 + u. Calculate the lowest common multiple of x and 3.
12
Let i be (2/(-1))/((-4)/(-6)). Let k(n) = -n**2 - 5*n - 4. Calculate the smallest common multiple of k(i) and 3.
6
Suppose 0 = z - 15 + 1. What is the lowest common multiple of 56 and z?
56
Let y = 27/11 - -859/22. Let u = 372/7 - 345/14. Calculate the common denominator of u and y.
2
Let i(c) = -c**3 + 13*c**2 + 6. Let f be i(13). Suppose -2*y + 10 = 3*y. Let a = f - y. Calculate the lowest common multiple of a and 4.
4
Let u = 252 - 1493/6. Find the common denominator of -29/18 and u.
18
Suppose 0 = -0*d + 2*d. Let j(l) = l**2 + l - 4. Let h be j(d). What is the lowest common multiple of h/12 - 62/(-6) and 2?
10
Suppose 2*w + 3 = -13. Calculate the lowest common multiple of 20 and (-4)/16 - 18/w.
20
Suppose b + b + 8 = 0, 4*c - 3*b = 32. Suppose -3*k + 2 = 2*g - 5, k = c*g - 9. Calculate the lowest common multiple of g and 3.
6
Let v = 10 - 8. Calculate the smallest common multiple of 11 and v.
22
Let c(b) = -b**3 + 3*b**2 + 4*b + 2. Let p = -9 - -13. Let x = 21 - 10. What is the lowest common multiple of x and c(p)?
22
Let x = -9 - -10. Let z be 19957/(30/(4 - x)). Let p = z - 1999. Calculate the common denominator of -52/5 and p.
10
Let w(q) = -q**2 + 12*q + 17. What is the least common multiple of w(13) and 3?
12
Let l(g) = 8*g**3 + 2*g**2 + g - 1. What is the lowest common multiple of 36 and l(1)?
180
Let a be 45/6*16/10. Let s(p) = 3*p**2 + 2*p + 2. What is the lowest common multiple of s(-2) and (-6)/3 + 4 + a?
70
Suppose 5*v - 21 = 4. Let y be v/4 - 3/(-4). Calculate the lowest common multiple of 4 and (-1 - -3) + 4 - y.
4
Let u = -7 + 15. What is the least common multiple of u and 14?
56
Calculate the common denominator of 115/150 - 3/(-5) and 23/6.
30
Let a = 133 - 68. Suppose 4*b - a + 17 = 0. Calculate the lowest common multiple of b and (-2)/(-5) + (-136)/(-10).
84
Let y(n) = -66*n**3 - 2*n**2 + 3*n. Let g be y(2). Let q = 14/41081 + -303136895/575134. Let t = q - g. What is the common denominator of -53/18 and t?
126
Let q = 19/844029 + -257774053279/18568638. Let t = -13885 - q. What is the common denominator of -1/10 and t?
110
Let b = 8 - 0. Suppose 5*x + 2*h = 12, x - 3*h + 3 = 2. What is the smallest common multiple of b and x?
8
Let k = -186 + 420. Let q be 20320/k - 1/1. Let p = -1048/13 + q. Calculate the common denominator of 37/4 and p.
36
Suppose -2*z = 4*b - 4, -14*z - 5 = -5*b - 13*z. Suppose -l = 5*q + 5, -5*q + 25 = -4*l + 8*l. What is the lowest common multiple of b and l?
10
Let k = 13 - 11. Let u(x) = x**2 + 7*x + 6. What is the smallest common multiple of k and u(-7)?
6
Let n = 10 - 18. Find the common denominator of 149/40 + 3/(-24) and (58/(-4))/(18/n).
45
Suppose -m - 3*m = -12. Suppose 2 = -2*s - m*a, -a + 2 = 4*s + 2*a. What is the smallest common multiple of s and 22?
22
Let p = 59 - 53. Calculate the lowest common multiple of 15 and p.
30
Let p(k) = -k**2 - 8*k - 5. Calculate the lowest common multiple of p(-5) and 26.
130
Suppose 4*g = -13 + 1. Suppose -3*z + z + 36 = 0. Calculate the smallest common multiple of g/(51/60 - 1) and z.
180
Let w = -9568/77 + 845/7. Find the common denominator of w and 2/9 + 812/(-36).
33
Let q be (-2 - 0)/(-2 - -1). Suppose -q*u = u + 5*l + 3, -3*u + 24 = -4*l. What is the smallest common multiple of 6 and u?
12
What is the least common multiple of ((-40)/14)/(((-64)/(-56))/(-4)) and 1?
10
Let h = 0 + 10. Calculate the least common multiple of h and 10.
10
Let b(o) = -5 - o**2 + 0*o + 5 - o**3 + 2*o - 1. Let f be b(-2). Find the common denominator of 29/16 and 3 + (75/(-14))/f.
112
Calculate the common denominator of ((-742)/(-42))/((-40)/6) and -81/70.
140
Let i(a) = -a - 3. Suppose 0 = j - 6*j - 60. Let y = j + 22. What is the lowest common multiple of i(-5) and y?
10
Let x = -107923639/108 - -999304. Let j = 370/27 + x. Let k = 8321 + -166371/20. Calculate the common denominator of j and k.
20
Let b be 4926/8 - (-3 + 4). Let q = 623 - b. Find the common denominator of q and -11/8.
8
Let y(u) = -2*u**2 + 9*u + 16. Calculate the least common multiple of 7 and y(5).
77
Let r be -2 + -30*(1 - 0). Let a = 56 + r. What is the smallest common multiple of 6 and a?
24
Let c = 1344/19 + -14561/190. What is the common denominator of c and 89/10?
10
Calculate the smallest common multiple of 48 and -3 + 0 + 12 + 3*-1.
48
Let d = 6 + 4. Suppose 6*b - 3*m + 3 = 3*b, 5*b - 25 = -5*m. What is the smallest common multiple of d and b?
10
Let w = 1988451/1064 + -7457/152. Let c = -1822 + w. Calculate the common denominator of 554/168 - (-2)/7 and c.
84
Let s = -3 - -14. What is the smallest common multiple of 10 and s?
110
Let f = -2352 + 23469/10. Let x = 1225399/4 + -308144. Let v = x - -1776. What is the common denominator of v and f?
20
Let v = -27005/4256 + -17/224. Let r = 20/133 - v. Calculate the common denominator of r and 398/8 + 2/(-8).
14
Let u(t) = t**2 - 2*t**2 - 2 + 0*t**2 + 9*t. Let y be u(9). Calculate the common denominator of -10*(y + (-14)/(-12)) and -31/9.
9
Suppose 3*w = -w + 56. Let h = -78 + 82. Calculate the smallest common multiple of h and w.
28
Let k(a) = -a**3 - 2*a**2 - 3*a - 3. Let g be k(-2). Suppose -g*m + m = -32. Calculate the smallest common multiple of 16 and m.
16
Suppose 0 = 3*b + 69 - 24. What is the least common multiple of 7 and 12/(-20) - 69/b?
28
Calculate the common denominator of -15/119 and -12 + 14 - (-87)/(-27).
1071
Let p(u) = 906*u**2 + 3*u + 5. Let o be p(6). Let n be o/(-99) + (-4)/18. Let v = n + 327. Find the common denominator of v and -44/7.
77
Let j be 2 + (-4 + -2)/1. Let g = j - -4. Calculate the common denominator of (-58)/(-8) + (g - 0) and -119/10.
20
Let n = 97 + -67. Let j(u) = 3*u**2 + 2. What is the common denominator of (0 - (-16)/n)*-18 and j(-2)?
5
Let t = 13 - 8. Suppose 0 = -4*m + 2*x + 46, 40 = t*m + x - 0*x. Suppose 31 = 4*n - 3*k, 10*n - 8*n - 28 = 4*k. What is the least common multiple of m and n?
36
Let v be 2 - 6/4*2. Suppose 36 = -0*y + y. Find the common denominator of -1 + (213/y)/v and -21/4.
12
Suppose 9 = -k + 6. What is the common denominator of 91/(-10) + (-12)/20 and k?
10
Let l = -8077/2 - -96863/24. Find the common denominator of -57/8 and l.
24
Let q = 601/12 - 50. Let h be -3 - (3 - 2)/1. Calculate the common denominator of (h/22)/((-12)/(-195)) and q.
132
Let h = 132 - 120. Calculate the smallest common multiple of h and 28.
84
Suppose 13 = 2*f - 2*g + g, g + 5 = f. Let d(t) = 43*t**3 + t**2 - t + 1. Let r be d(1). Suppose -a - a = -r. What is the lowest common multiple of a and f?
88
Suppose m + 2*m = -72. Let n(o) = o**2 - 3. What is the smal