3). Suppose 0 = f*k - 3*k - 6. Let t = 6 - -3. Calculate the lowest common multiple of t and k.
18
Let l = -2/339 + 7801/678. What is the common denominator of l and 41/6?
6
Let j(t) = 9*t - 10 - 31*t**2 - 2 + 30*t**2. Calculate the lowest common multiple of j(6) and 4.
12
Let h = -10839/7 + 1551. What is the common denominator of h and -3 + 5 + (-115)/(-6)?
42
What is the common denominator of 83/16 and (41/10)/((-1)/((-25)/10))?
16
What is the common denominator of 129/160 + -2*(-2)/(-10) and -57/20?
160
What is the common denominator of 4/14 - 104/16 and 897/270 - (-2)/5?
126
Suppose 5*s + 6 = -2*i, s + 3*i + 9 = -0*i. Suppose -4*t + s*c - 5*c = 4, c - 22 = 3*t. What is the common denominator of (-5)/(110/8)*4 and t?
11
Let x(u) = u**2 + u - 3. What is the least common multiple of 1 and x(-3)?
3
Let u = -8 - -12. Suppose 5*m - 91 + 6 = -5*k, u*k = 2*m - 64. Let o(n) = -7*n - 1. What is the lowest common multiple of m and o(-3)?
220
What is the least common multiple of 176 - ((8 - 5) + 1) and 18?
1548
Suppose 0 = 5*v - 76 + 16. What is the common denominator of ((-2)/v)/(7/249) and -63/16?
112
Let g be (-4)/(-2) - (35 - 3). Let w = 54 + g. What is the common denominator of 31/(-4)*(-18)/w and 51/20?
80
Suppose -3*b + 8*b - 80 = 0. Calculate the lowest common multiple of b and 12.
48
Let t = 5 - -7. What is the common denominator of ((-6)/(-20))/((-3)/t) and -9?
5
Let x = -39/3070189 + -82397436801/23268962431. Let t be 2/(-26)*(-3)/53. Let b = x - t. What is the common denominator of 7/3 and b?
33
Let j be (-20)/(-8) - (-2)/(-4). Suppose -j = 5*i - 7. What is the least common multiple of (-4)/14 - 111/(-21) and i?
5
Let l = -4692 - -37589/8. Let o = -5609/18 + 315. Find the common denominator of l and o.
72
Let o(i) = -2*i - 22. Let u be o(-15). Find the common denominator of -121/12 and 1773/594 + u/6.
132
Suppose -5*t - 23 = -2*a + 10, 3*a - 5*t = 37. Suppose 0 = a*y + 2*d - 70, 0 = 2*y - 2*d + 4 - 54. Calculate the smallest common multiple of 14 and y.
140
Let c be (-10)/15 - (-32)/3. Let w = 17 - c. Suppose 0 = -3*f, -2*f + 2 + 2 = 4*x. What is the lowest common multiple of x and w?
7
Let r be (-20)/(-2) + (-6 - -4). Suppose -2*q + 6*q = r. Suppose d - 43 = -5*k, -q*k + d = -0*k - 13. Calculate the lowest common multiple of k and 11.
88
Let m = -136 + 547/4. Let g = 21241/12 - 1772. Find the common denominator of m and g.
12
Let p(o) = -o**2 + 11*o - 12. Let d be (-1 - 2) + (1 - -11). Calculate the lowest common multiple of p(d) and 18.
18
Let w(y) = -y**2 - y + 32. Let v be w(0). Suppose z = 2*a - v, -a - 57 = 2*z + 2*a. Calculate the common denominator of -101/6 and (2 - (-453)/z) + 2.
30
Suppose 0 = r + 3*s - 5, -s - 3*s = 3*r - 10. Suppose 10 - r = 2*i. Calculate the least common multiple of (-15)/2*32/(-12) and i.
20
Let i = -14033 - -168259/12. What is the common denominator of i and -97/10?
60
Let l(o) = 8*o. Let t be (4/(-10))/(2/(-10)). Calculate the lowest common multiple of l(t) and 12.
48
Let c(w) = 2*w + 56. What is the lowest common multiple of c(-17) and 6?
66
Let r be (-2)/3 + (-3)/9. Let a(p) = -20*p. Suppose 0 = 5*z - 15 - 15. Calculate the lowest common multiple of z and a(r).
60
Let g(w) = w**2 + 8*w + 4. Let v be g(-6). Calculate the common denominator of (v - -2)/((-7)/2) and -41/11.
77
Let m = 1027/3 + -7243/21. What is the common denominator of 237/(-24) - 6/8 and m?
56
Let t(h) be the third derivative of 1/6*h**3 + 0 + 1/24*h**4 - 3*h**2 + 0*h + 1/15*h**5. Calculate the smallest common multiple of 5 and t(-1).
20
Let q(c) = c + 12. Let o be q(-12). What is the least common multiple of (-2 + 1 + o)*-11 and 9?
99
Suppose -2*c - 7 = 1. Suppose 0 = -2*u, -3*m + 2*u + 53 = -22. Find the common denominator of (2/m)/(c/5) and 37/8.
40
Let v be (-6770)/(-21) + (-2)/3. Let f = -329 + v. Calculate the common denominator of f and -24/11.
77
Let p = -206361 + 612502/3. Let b = p + 2171. Calculate the common denominator of b and -58/7.
21
Suppose -5*p + f + 25 = 2*f, 0 = 2*p - 2*f - 10. Suppose -p*a + 2*b + 2*b = -122, 2*a - 3*b = 53. Calculate the smallest common multiple of a and 6.
66
Let a = 155 + -1579/10. Find the common denominator of (-1)/2 + (-102)/72 and a.
60
Let p = -218 + 580/3. What is the common denominator of p and -27/10?
30
What is the common denominator of (-98)/20 + (-8)/20 and -13/3?
30
Let d(o) = o**3 + 4*o**2 - 4*o + 6. Let y be d(-6). Let z = -24 - y. Calculate the least common multiple of z and ((-14)/(-3) - 0)*3.
126
Suppose 5*y + 4 = 14. Let g(m) = 2*m**2 - 4*m + 3. Calculate the least common multiple of g(1) and y.
2
Let i = 11 + -3. Suppose -l + 23 = 5*f - 0*f, -4*l = -2*f - 4. Let m = l + -2. What is the lowest common multiple of i and m?
8
Suppose z - 44 = k, z + 5*k - 180 = -4*z. Suppose 2*n - z = -2*n. Suppose 4*b + 12 = -2*i, b - 6 = -i - 4*i. What is the least common multiple of i and n?
10
Let j(g) = -3*g + 2. Calculate the smallest common multiple of j(-1) and 3.
15
Find the common denominator of 2/13 and 25/((6/(-1))/2).
39
Let y = -2 - -26. Calculate the least common multiple of 6 and y.
24
Suppose -2*y + 0*m = -m - 29, 0 = 3*y + m - 41. Calculate the smallest common multiple of y and 16.
112
Let p(u) = u - 5. Let m(q) = 3*q - 6. Let k be (-4)/(-10) - 23/(-5). Calculate the lowest common multiple of p(8) and m(k).
9
Let s be 0 - ((-3)/(-3))/(-1). Let t = 1211/164 + 15/41. What is the common denominator of t and (-1)/((-20)/(-21))*s?
20
Suppose -4*p + 3*p - 3 = 0. What is the lowest common multiple of (-3 - p) + (1 - -1) and 20?
20
Let y(d) = 6*d**3 - 9*d**2 + d + 11. Let f be y(10). Let v = 51167/10 - f. Calculate the common denominator of v and 54/7.
70
Let h(u) = 19*u**2 - u - 1. Let a be h(-1). Suppose k - 3*k - 6 = 0, -m - k = -a. Calculate the least common multiple of 18 and m.
198
Let g = -9985 + 99733/10. Suppose 0 = 5*f - 56 - 224. Suppose 0 = 2*c - f + 148. Find the common denominator of g and c.
10
Suppose -7*s + 3*s + 16 = 0. Let a = 5 + s. Let p = a - 3. Calculate the smallest common multiple of p and 14.
42
Let k = 8 + -14. Find the common denominator of (-287)/k - (-2)/(-6) and -29/2.
2
Let g = 285933/22 - 12994. What is the common denominator of g and -51/16?
176
Let g be ((-2)/(-12))/((-555)/12). Let k = g - 13127/2220. Find the common denominator of 65/2 and k.
12
Let r(d) = -2*d - 5. Suppose 0 = -2*k + 9 + 15. Suppose -2*q - 3*j = q, 3*q - j - k = 0. What is the least common multiple of r(-4) and q?
3
Suppose -9 = -b - 0*b - 4*o, -6 = 5*b + 3*o. Let w = b + 4. What is the common denominator of 444/(-18) - w/(-3) and -2/3?
3
Suppose -h = 2*h + 4*t + 11, -2*t + 27 = -5*h. Let n = h + 19. Calculate the lowest common multiple of n and 18.
126
Let p(z) = z**2 - 1. Let d be p(0). Let y be (-1)/d - (-251)/(-18). Let t = y + 1198/63. Calculate the common denominator of -53/10 and t.
70
Let y be ((-327365)/(-15))/((-40)/6). Let w = y + 3275. Find the common denominator of w and (-606)/8*6/63.
140
What is the common denominator of 4/8 + 190/(-28) and -11/8?
56
Let q = -3 + 8. Suppose 3*b + 16 = 4*u, 3*u + u = q*b + 16. Calculate the lowest common multiple of 16 and u.
16
Let z(j) = j**2 + 3*j + 10. Calculate the least common multiple of z(-4) and 8.
56
Let f(h) be the second derivative of -2*h - 1/6*h**4 - 1/3*h**3 + 1/20*h**5 + 0 + 2*h**2. Calculate the lowest common multiple of f(3) and 9.
63
Suppose -u - 7 = -11. Suppose u*j = 9*j - 50. What is the lowest common multiple of 11 and j?
110
Calculate the common denominator of 59/4 and (190/(-16))/(((-55)/10)/(-11)).
4
Let g = -8 + 13. What is the smallest common multiple of g and 7?
35
Suppose -2*a - 38 = 20. Let m be (-2)/(2 + -1) - a. Let g = m + -11. What is the smallest common multiple of g and 12?
48
Let y(r) = r**2 - 9*r + 12. Let c be y(8). Suppose -4*i - 9 + 31 = p, c*p = -i + 88. What is the least common multiple of p and 10?
110
Let c be 22572/(-20) - (2 - 0). Let b = 1137 + c. What is the common denominator of -30 and b?
5
Let b be (-3)/(-30)*454/3. Let o = b + -2371/120. Calculate the common denominator of o and 21/4.
8
Suppose 0 = 11*n - 2*n - 288. Calculate the least common multiple of n and 4.
32
Let y(s) = 37*s. Let k be y(1). Suppose -k = -5*p + 2*j, 0*j + 44 = 4*p + 2*j. What is the least common multiple of