24 - 8. Let c = k - 7. Calculate the smallest common multiple of 2 and c.
18
Let x = 15 + -10. Let w(b) = -b**3 + 5*b**2 + b - 3. Calculate the lowest common multiple of w(x) and 20.
20
Let u = -2299 + 18369/8. Let y be 6/(-9)*(-6)/(-4). Calculate the common denominator of u and (-53)/(-8) + -1 + y.
8
Suppose 2*g - 8 = a, -3*g - g = -a - 18. Suppose 5*f + 5*w = -2 + 37, f + 3*w = 1. Calculate the least common multiple of f and a/7 + (-19)/(-7).
30
Let a = 17 + -12. What is the least common multiple of 10 and a?
10
What is the least common multiple of -3*(-5)/((-20)/(-12)) and 2?
18
Let d be (-14)/(-42) - 16/(-6). Suppose 4*p - p - 4*g = 16, -d*g + 6 = 0. What is the smallest common multiple of p and 9?
72
Suppose -3*m = 9 - 21. What is the smallest common multiple of m and 7?
28
Let d(y) = 2*y**2 + 4*y + 3. Let m be d(-4). Let q = 63 - m. What is the common denominator of 75/8 and q?
8
What is the least common multiple of 22 and 49/21 + (-1)/3?
22
What is the common denominator of -5 - -8 - 132/(-27)*1 and 23/6?
18
Let o(f) = f**2 + 3*f - 12. Let b = 22 + -28. Calculate the lowest common multiple of 14 and o(b).
42
Let i = -27 + 31. Suppose -4*m + 4*c + 36 = 0, -31 - 17 = -2*m - i*c. What is the smallest common multiple of m and 10?
70
Suppose 4*g = q + 94, -2*g - 11*q + 56 = -7*q. Calculate the smallest common multiple of 22 and g.
264
Suppose 23*u = 14*u + 27. What is the lowest common multiple of 33 and u?
33
Let j(t) = 2*t - 12. Let f be j(8). What is the common denominator of 159/(-44) + f/(-16) and 2 + (-1)/(-4)*-13?
44
Suppose 0 = -3*m + 21 - 3. Let z = m + 4. Calculate the smallest common multiple of z and 10.
10
Suppose 0 = -2*m - m + 15. Suppose -4*v + 4*t = -53 + m, -4*v = -t - 60. Calculate the lowest common multiple of v and 8.
16
Let c be 6*(5/2 + -2). Suppose 0 = -2*x - 2*i + 4, -31 = -c*x + 2*i. Let k = 13 - 7. What is the smallest common multiple of x and k?
42
Let w(d) = -d**2 - 18*d - 23. What is the smallest common multiple of 7 and w(-16)?
63
Suppose -149 - 21 = -l - 2*u, -4*l - 5*u + 674 = 0. Find the common denominator of -13/16 and ((-2)/8)/(2/l).
16
Let a = 650/33 - 4/11. What is the common denominator of 71/4 and a?
12
Suppose 7*y - 4*y - 33 = -b, -4*y - 36 = -2*b. What is the smallest common multiple of b and 18?
72
Let h(d) = -4*d - 8. What is the common denominator of -51/8 and h(-7)?
8
Let g = 24 + 24. What is the least common multiple of (24/(-9) - -2)/((-12)/144) and g?
48
Let q be ((-33)/12)/((-2)/56). Suppose 4*p + b = 62, 5*p + 3*b = 2*b + q. What is the lowest common multiple of p and (-6)/24*-25 + 2/(-8)?
30
Let s = -1844 + 12865/7. Calculate the common denominator of s and (-2)/(-9) + 2255/(-90).
42
Let q(n) = 12*n**2 + n + 1. Let o(j) = 4 - 4*j - 3*j + j**3 + 0*j**3 + 5*j. Calculate the least common multiple of q(-1) and o(2).
24
Calculate the common denominator of -29/18 and (-2)/(-6) - 1197/270.
90
What is the common denominator of (104/(-76))/(5/((-5)/2)) and -24/5?
95
Let d = -52 - -60. What is the smallest common multiple of d and 54?
216
Let g(q) = -q**3 + 7*q**2 - 6*q + 4. Let c be g(6). Suppose -4*y = -84 + c. Suppose 0 = -3*h + 9 - 3. What is the least common multiple of h and y?
20
Let o = 7 + 4. Let a = 13 - o. Calculate the smallest common multiple of 20 and a.
20
Let y(x) = -x**2 - 3*x + 5. Let w be y(-5). Let b = 15 + w. Calculate the lowest common multiple of 8 and b.
40
Let r = 17205 + -240753/14. Calculate the common denominator of r and -113/18.
126
Let n = -17 + 9. Let o = -6631/2576 + 1/368. Calculate the common denominator of o and (-377)/(-36) - n/(-36).
28
Let y = 17003/11 - 1550. Let d = -552/5 - -1833/20. Calculate the common denominator of y and d.
44
Suppose -4*s + 0*s + 444 = 0. Let o = s + -63. Let c = 70 - o. What is the lowest common multiple of 22 and c?
22
Suppose -i + 2*i = 3*u, -3*u - 36 = -4*i. Let w = 18 - i. What is the least common multiple of w and 3?
6
Suppose 2*c - 11 = c. Calculate the smallest common multiple of c and 11.
11
Let b(d) = -d**3 - 4*d**2 - 5*d - 3. Let r be b(-3). Calculate the common denominator of 69/22 and (-2)/(-56)*(-29 + r).
154
What is the common denominator of 28/9 and (29/(-25))/(6/(-45))?
90
What is the least common multiple of ((-11)/5)/(1/15*-3) and 10?
110
Let j = 16 + -9. What is the smallest common multiple of j and 3/(-6) - 15/(-2)?
7
Suppose y + 5*s + 11 = 0, -5*y - 50 = -2*s + 5. Let t = 13 + y. What is the least common multiple of t and 12?
12
Suppose -3*w - 72 = -7*w. Suppose 2*z - 2*n + 6*n + w = 0, 5*n = z - 26. What is the least common multiple of z and 8?
8
Suppose 0 = -2*o - 0*o - 16. Let f = 13 + o. Suppose f*s + 11 = 41. What is the smallest common multiple of s and 18?
18
Let t be (-12)/9 + (-32)/12. What is the lowest common multiple of 8 and t/(-3 - -7) + 5?
8
Let w be (-4)/(-16) - (-997982)/(-360). Let f = w + 13891/5. What is the common denominator of f and 35/(-2) + 4/(-6)?
18
Let k = 630975190 - 6592428849527/10448. Let w = 15/653 - k. What is the common denominator of w and 253/36 - 2/(-8)?
144
Suppose 5*k + 4*x = 2*x - 38, -x = 5*k + 34. Calculate the lowest common multiple of 2 + 6*(-3)/k and 9.
45
Suppose i = 36 + 1. Let d = i + -14. Find the common denominator of 70/3 and d.
3
Suppose 0 = -4*s + p + 1, -p + 15 = 4*p. Suppose k + s = -0*k. Let d(j) = -8*j**3 + j**2. What is the least common multiple of 9 and d(k)?
9
Suppose 1 = 2*i - 3. Let q = 25 + -15. What is the smallest common multiple of q and i?
10
Suppose 0 = t, f + 7 = 5*t + 44. Let w = -22 + f. Suppose -n = 2*n - w. What is the lowest common multiple of 2 and n?
10
Let w = 17167/7 - 2460. What is the common denominator of w and -57/5?
35
Let m = -166716/17 + 9810. Calculate the common denominator of m and 34/3.
51
Let q = -6 - -11. What is the lowest common multiple of 7 and q?
35
Suppose -14 = -r - 2*w - 4, 5*r - w - 39 = 0. What is the smallest common multiple of 9 and 1/(1 + (-6)/r)?
36
Let f be (-1365)/(-96)*-2 - -2. Let a = f + 59/16. Calculate the common denominator of a and 93/4.
4
Suppose -6 = -4*u + 2*l + 8, -2 = 2*u + 2*l. Let q(r) = -7 - 2*r**2 + 2 + 3*r**2 + 5*r. Calculate the lowest common multiple of q(-7) and u.
18
Let y(l) be the second derivative of l**3/6 + 4*l**2 + 2*l. Let z be (-3 - -3)/(-1 + -1). Calculate the least common multiple of 12 and y(z).
24
Let b = -4 + 0. Let k be 0/(3 - 5 - b). Suppose 0*a - 4*a + 8 = k. Calculate the least common multiple of a and 6.
6
Let l = -21 - -24. Suppose -5*t - l = -2*s, -2*s + 2*t + 32 = s. Suppose 0 = j - 1, 0 = -4*i + 7*i - j - 59. Calculate the lowest common multiple of s and i.
140
Let f = -3663/2 + 1781. Calculate the common denominator of -31/115 and f.
230
Let p = 131989061/74 + -1783605. Let c = 54/37 - p. Calculate the common denominator of c and (43/(-6))/(1/3).
2
Suppose o = -4*o. Suppose 3*i - 6 + 3 = o. Calculate the least common multiple of 6 and 11*i + (4 - 3).
12
Let u(f) be the first derivative of -f**4/4 - f**3/3 + 2*f - 2. Let l be u(0). Suppose 0 = l*j - 2 - 18. What is the least common multiple of 6 and j?
30
Suppose -3 = -2*w + 5. Calculate the least common multiple of -6*1*(-10)/15 and w.
4
Let o = 10/147 + 2743/735. Find the common denominator of -71/45 and o.
45
Let a = 6 + 1. What is the least common multiple of 4 and a?
28
Calculate the common denominator of (3 - 1)/6 + (-21)/(-72) and 5/6.
24
Let l = 39 - 23. Let d be 5*(21/(-15) - -2). Suppose -x = z - l, d*z + x - 42 = -2. What is the smallest common multiple of z and 6?
12
Let y(f) = 15*f**2 + 14 + f - 14. What is the least common multiple of 6 and y(1)?
48
Let k(h) = -h**3 + 3*h**2 + 4*h + 4. Let o = -9 + 12. Suppose o*z - r - 11 - 26 = 0, 0 = 4*z + r - 61. Calculate the least common multiple of k(4) and z.
28
Suppose 4*s + 4 = 2*f - 0*f, 5*s - 85 = -5*f. Calculate the smallest common multiple of 38 and f.
228
Suppose u + 5*i - 11 = 11, 5*u - 26 = 3*i. Let p(x) = x**2 - x + 6. What is the common denominator of p(u) and 2/(-3) + 142/18?
9
Let j = 67/2 + -31. Let o be 956/2 + (-3 - 0). Let l = -11393/24 + o. What is the common denominator of l and j?
24
Suppose -6 = -11*v + 5*v. Calculate the least common multiple of v and 1.
1
Let f = 685/4 + -152. What is the common denominator of -49/172 and f?
172
Let k 