19. Find the common denominator of -32*((-15)/42)/5 and c.
77
Suppose 5*j - 5*g + 45 = -0*j, j = -g - 5. Let d = 9 + j. Calculate the smallest common multiple of d and 8.
8
Suppose -2*z + 0*u - 4*u - 8 = 0, -5*u + 50 = -5*z. Calculate the smallest common multiple of 1*(-2 - (2 + z)) and 12.
12
Find the common denominator of ((-2)/24)/(3/(-6)) and 8 + (-16)/(-40)*-2.
30
Let s(i) = 1 + 5 + 5*i - 6. Suppose 4*n = -n + 5. Calculate the least common multiple of s(n) and 3.
15
Suppose 6 + 31 = h. Let s = -26 + h. What is the lowest common multiple of s and 3?
33
Let w = 5397/2830 + -2/283. Let m = 5881/3486 + -11/249. Calculate the common denominator of m and w.
70
Let l(b) = -b**3 - 6*b**2 + 22*b + 13. Calculate the lowest common multiple of l(-9) and 16.
464
Let y be 48/(-98)*(-8)/(-6). Let s = y + 2203/147. Calculate the common denominator of s and ((-73)/4)/(18/8).
9
Suppose -2*o + 24 = 4*s, -3*s + 13 = o - 0*s. What is the smallest common multiple of 200 and o?
200
Calculate the common denominator of (4/8)/((-48)/244) and -97/6.
24
Find the common denominator of 37/114 and (-89)/18*(14 - 13).
342
Let g be -3 + 1 + 7276820/(-4262). Let y = -123395450857/72006490 - g. Let t = y - 3/3379. Find the common denominator of -31/11 and t.
110
Let j = -29 + 5. Calculate the common denominator of (-1155)/j*4/10 and (6 + -23)*2/(-9).
36
Let n = -15 - -19. Suppose n*v = -2 + 10. What is the least common multiple of 10 and v?
10
Let u = 43 + -31. What is the least common multiple of u and 11?
132
Let w = 24416804123 + -699736772350327/28658. Let q = -10/2047 - w. Let j = -16355/1392 - 1/1392. Find the common denominator of q and j.
28
What is the smallest common multiple of 14 and (-10)/(-35)*(8 - (-1 - -2))?
14
Calculate the lowest common multiple of 4 and 3/(3/2) - -4.
12
Let c(l) = l**2 - 2*l + 1. Let x be c(1). Suppose x*z - 36 = -4*z. What is the common denominator of -37/8 and (27/(-10))/(z/(-39))?
40
Suppose 0 = 2*q + 3*q - 2*n - 10, -2*q + 4 = 2*n. Suppose l + 5*f + 25 = 5, -5*f = -4*l + 45. What is the lowest common multiple of q and l?
10
Let z be (-1 - 11)*40/(-15). What is the common denominator of ((-780)/z)/((-9)/(-4)) and -32/3?
6
What is the smallest common multiple of 1 and -1 + 2*44/8?
10
Let m = -1/2776 - -441415/86056. Let l = m + -3667/310. What is the common denominator of l and -59/8?
40
Suppose 0 = 4*j - 3*j + 1. What is the common denominator of 77/12 and (21*-1)/((-2)/j)?
12
Suppose 8 - 1 = 7*w. What is the lowest common multiple of w and 2 + -1 + 4/2?
3
Suppose 3*g - 3*a - 240 = 0, g - a - 4*a - 80 = 0. Suppose 25 = 3*f + 4*j - 15, 5*f = -4*j + g. What is the least common multiple of 16 and f?
80
Let t = -9/217 - 11483/434. Calculate the common denominator of 1/(-4) - (-92)/(-32) and t.
8
Let j(p) = p**3 - 7*p**2 - 8*p - 9. Let q be j(8). Let u(r) = -r**2 - 10*r - 7. Let b be u(q). Calculate the common denominator of ((-474)/(-8)*b)/6 and -73/18.
36
Let p = 248089 + -652225963/2629. Let a = p - 31694/6165005. Let g = a + -18299/4690. Calculate the common denominator of g and -31/3.
30
Let z = 20211137/22 - 1834677/2. Suppose -726 = 2*h + 1976. Let r = h + z. Calculate the common denominator of r and 61/2.
22
What is the smallest common multiple of 25/15 - 3 - (-62)/6 and 30?
90
Suppose 2*v - 7*v + r = -31, -23 = -4*v - r. What is the least common multiple of 1 + -2 + 0 + v and 6?
30
Let t(q) be the second derivative of -q**3/6 + 4*q. Let r be t(0). Find the common denominator of 4/48*(-37 + r) and -19/2.
12
Suppose -4*z = -z. Let i be (536/(-257) - -2) + z. Let b = 7695/2827 + i. Calculate the common denominator of b and -7/3.
33
Let j = -1698/11 + 3365/22. Let i be 4/4 + (-1471)/10. Let f = 478/5 + i. Calculate the common denominator of f and j.
22
Let u = 3 + -1. Suppose 0 = -u*s - 2*s + 8. What is the lowest common multiple of s and 2?
2
Suppose -2*p - 6 = -5*l + 2*l, l - 2 = 2*p. Calculate the lowest common multiple of 2 and -1 + l - (0 - 6).
14
Let w be 4/(-30)*378/8. Let c = w - -12. What is the common denominator of c and 23/14?
70
Let t(y) = y**3 - 2*y**2 - 2*y. Let k(j) = 3*j + 2 + 3 - 3. Calculate the least common multiple of t(3) and k(3).
33
Suppose 0 = -5*m - 5*i + 9 - 4, 4*m = -2*i - 6. Let z = 7 + m. What is the lowest common multiple of 2 and z?
6
Let f(n) = -n**2 + 8*n + 4. Let z be f(8). Suppose 27 + 17 = z*g. What is the least common multiple of g and 9?
99
Let q = 1480 - 2883/2. Find the common denominator of 75/14 and q.
14
Let s = -16 - -22. Let f = 919 - 1889/2. Find the common denominator of f and 466/(-60) + 4/s.
10
Let w = -1063131/1160 - 721/232. Let b = -930 - w. What is the common denominator of b and (78/(-35))/(4/(80/(-6)))?
35
Suppose 0 = -i - 4*s - 20 - 7, -i + 2*s = 27. Let t be (156463/(-23705))/(-1) + 0. Let h = 2/4741 - t. What is the common denominator of h and i?
5
Let d = 1 + -3. What is the lowest common multiple of 8 and (-48)/(-30) + d/(-5)?
8
Find the common denominator of (-203)/(-80) - 6/(-15) and -105/22.
176
Suppose -5*c + 58 = -42. Calculate the least common multiple of 16 and c.
80
Suppose -1 = -3*n - 10. Find the common denominator of (188/24)/(n/9) and 33/5.
10
Let w = -1 - -4. Suppose w*y + 6 = 0, 4*o + 4*y = 2*y + 32. Let x(d) = 9*d**2 - 1. What is the smallest common multiple of o and x(1)?
72
Let o(d) = -d**2 + 15*d - 5. Let t be o(6). Let f be 14/t + (-23)/7. What is the common denominator of 32/9 and 121/(-6) + f - -3?
18
Let i = 1014 - 2113/2. Find the common denominator of -48/5 and i.
10
Suppose -3*c = -0*c - 24. Calculate the lowest common multiple of 14 and c.
56
Let w be 14914/12 - 6/(-9). Let c = 1288 - w. Calculate the common denominator of ((-553)/(-10))/7 - -3 and c.
10
Calculate the common denominator of -103/30 and (1 - (-548)/(-324))/(3/9).
270
Suppose -3*v = -198 - 96. Suppose -5*s + v = -42. What is the least common multiple of s and 10?
140
Suppose 2*x + x = -603. Let y be 6/27 - (-21)/27. What is the common denominator of -8 and x/(-6) + (y - 1)?
2
Let o = -103996769/14 + 7421076. Let p = o + 7270. Calculate the common denominator of 31/22 and p.
154
Suppose -3*u - 2 = 1. Calculate the smallest common multiple of 10 + 1 + (u - 3) and 3.
21
Let a(j) = 2*j. Let g = 307 - 167. Calculate the lowest common multiple of a(6) and g/18 + (-4)/(-18).
24
Let k(s) = -s + 3. Let y(q) = q**3 + 5*q**2 - 3*q - 4. Let b be y(-5). Let p = b + 7. What is the smallest common multiple of k(-11) and p?
126
Let q be (-4 + 2)/(2/(-3)). Suppose -23 = -q*x + 7. What is the lowest common multiple of 2 and x?
10
Let i(d) = 31*d - 4. Let k be i(-6). What is the common denominator of (-3 + 2)/(6/81) and 6/(-9) - k/24?
4
Let d be -2 + 50*(-141)/864. Let f = d - 13/144. What is the common denominator of -9/4 and f?
4
Let p(i) = i**3 + 5*i**2 - 2. Let z be p(-5). Let v = 58 - 51. Let r = z + v. Calculate the lowest common multiple of r and 4.
20
Let c = -10 + 24. What is the lowest common multiple of c and 18?
126
Let r = -4377277/88 + 49741. What is the common denominator of r and -23/11?
88
Let u = -24/7 + 47/28. Calculate the common denominator of u and -93/20.
20
Suppose 2*d + 2*d - 20 = 0. Suppose -8 = -d*r + 22. What is the least common multiple of 8 and r?
24
Suppose -7 = -2*r + 3*m, 4*m + 43 = 3*r + 6*m. Suppose 3*v - r = 4*l, -4*v - 7 + 39 = -l. Calculate the least common multiple of 9 and v.
9
Suppose 4*f + 5*l = 6*f - 24, 5*f + l = 6. Suppose -2*o = 4*h - 10, -f*h = -5*o - 28 + 5. What is the lowest common multiple of 5 and h/(-6)*-9 + 1?
35
Suppose 0 = 2*o - 7 + 1. Suppose o*u = 2*a - a - 21, u = -5. Calculate the least common multiple of a and 6.
6
Let i = 1 - 1. Suppose -3*w - 5*c + 1 = i, w = -4*c + 1 + 4. Calculate the common denominator of (-2)/((-96)/177) + w and -149/6.
48
What is the common denominator of (-49)/(-66) + (4 - (-250)/(-60)) and 7/12?
132
Let f(n) = -17*n - 4 - 3 + 11*n. Let t be f(-7). Let u = -23 + t. What is the smallest common multiple of u and 16?
48
Suppose 2 = -y + 7. Calculate the smallest common multiple of y and 5.
5
Suppose -3*r + 13 = -14. What is the lowest common multiple of 8 and r?
72
Let f = -3/175 - -13149/1400. Find the common denominator of 4/(-14) + (-61)/(-42) and f.
24
Calculate the common denominator of (-2 - 0)*(-196)/(-144) and