- 11. Calculate the common denominator of (j/2)/(24/(-82)) and 11/2.
8
Suppose -2*w = -4*r - 56, -5*r = -3*w - r + 74. What is the least common multiple of 10 and w?
90
Let l = 3599/6 + -591. Find the common denominator of 149/18 and l.
18
Let j(a) = a + 10. Let m(c) = -c**3 + 5*c**2 + 2*c - 6. Let p be m(5). Suppose -18 = 3*w - p*w. What is the lowest common multiple of w and j(-6)?
36
Let n = -60 - -203. Calculate the common denominator of 117/10 and 1/(6/n*-1).
30
Find the common denominator of -95/16 and (20/(-5))/(-48) + 2.
48
Let c = 94 + -68. Calculate the lowest common multiple of c and 8.
104
Let i(g) = 29*g**3 + 5*g**2 - 7*g + 1. Let v(u) = -30*u**3 - 6*u**2 + 8*u - 1. Let m(h) = 7*i(h) + 6*v(h). What is the smallest common multiple of 20 and m(1)?
220
Let o = -2364 - -23671/10. What is the common denominator of o and (-1111)/1210 + (-4)/22?
10
Let c = -1/532 - 21807/2660. Calculate the common denominator of c and 14/11.
55
Let q = -1/31 + 2339/434. Let c = -149/1568 + 566491/1568. Let v = c - 355. Find the common denominator of v and q.
112
Let y(d) = -d - 12. Suppose t - 10 = -2*o, 4*o = -4*t - o + 43. What is the lowest common multiple of y(-14) and t?
12
Let y(m) = -m**2 - 8*m - 6. Calculate the least common multiple of 22 and y(-6).
66
Let f(a) = -a**3 + 2*a + 4. What is the lowest common multiple of 6 and f(0)?
12
Let a(o) = 2*o - 1. Let h be a(-1). Let w be (3/2)/(h/8). What is the common denominator of w + 3 - (-91)/4 and -55/9?
36
Suppose -22*a + 40 = -18*a. What is the least common multiple of 9 and a?
90
Suppose 5 = -2*l + 13. What is the smallest common multiple of 2 and l?
4
Let s be (1614/44)/((-2)/(-14)). Let t = s - 257. Let c = 1/278 - 212/973. Find the common denominator of t and c.
154
Suppose 0 = -3*q + 4*m + 47, -3*m = 3*q - 2*m - 67. What is the least common multiple of q and 6?
42
Let s(l) be the first derivative of -l**4/4 + 7*l**3/3 - 3*l**2 + 4*l - 2. Calculate the lowest common multiple of 10 and s(6).
20
Let c = 4656 - 51265/11. Let s = 3066/5 + -617. Calculate the common denominator of s and c.
55
Calculate the common denominator of 67/4 and (-12)/30 - 421/(-40).
8
Let g = 988 + -226. Let a = 2318/3 - g. Calculate the common denominator of 69/10 and a.
30
Let n = -4805/118 - -72/59. What is the common denominator of n and (-129)/(-27) + 1/1?
18
Let y = 3701 - 37051/10. Calculate the common denominator of -13/7 and y.
70
Suppose 3*j = 2*j - 25. Let l = -15 - j. Calculate the lowest common multiple of 9 and l.
90
Suppose 2*p - 1 = 13. Suppose 4*d - 14 = 22. Calculate the smallest common multiple of d and p.
63
Let l be -2 + -1 - 1*-6. Suppose -6 = -5*d + a + 3*a, -l*d + 7 = a. Calculate the lowest common multiple of 1 and d.
2
Let m = -1 + 1. Let x(l) = -l**2 - 5*l + 1. Let z be x(-4). Let k = m + z. What is the lowest common multiple of k and 10?
10
Suppose 5*g - 5*n - 40585 = 0, -2*g + n = 2*n - 16231. Let w = 1809864/223 - g. Let v = 3771/1115 - w. Calculate the common denominator of 71/10 and v.
10
Let b(u) = -2*u + 2. Calculate the smallest common multiple of 4 and b(-4).
20
Let g = -6 + 14. Calculate the smallest common multiple of 6 and g.
24
Let v(z) = -2*z**3 - 6*z**2 + 4*z - 8. Calculate the least common multiple of 1 and v(-5).
72
Calculate the common denominator of -99/16 and ((-1)/(-8))/((-33)/(-36)).
176
Let j be -1376 + (-4)/(0 - -4). What is the common denominator of 50/11 and (-3)/5 + j/(-120)?
88
Calculate the least common multiple of (-44)/(-6) - 2/6 and 5.
35
Suppose -d + 8 - 3 = 0. Suppose 4*c - 14 = -3*n, -5*n = d*c - 4*n - 12. What is the lowest common multiple of 12 and c?
12
Let i = -3 - -6. Suppose -i*g + 0*g + 57 = -3*o, -5*g = 2*o - 60. Calculate the smallest common multiple of g and 12.
84
Let k(t) = -1. Let y(f) = -f - 10. Let c(a) = -5*k(a) + y(a). What is the least common multiple of 7 and c(-8)?
21
Let i = 5 - 1. Suppose 6 = i*c + 2. What is the smallest common multiple of c and 3?
3
Let y(s) be the first derivative of s**2 + s + 5/3*s**3 + 1. Calculate the least common multiple of 9 and y(-1).
36
Suppose k - 3*c - 27 = -2*k, -5*c + 81 = 4*k. Suppose 4*b = 2*f + 78, -2*b - 2*b - 5*f = -85. Calculate the smallest common multiple of k and b.
140
Let l(p) = 3*p**2 - 4*p + 2. Let q be l(2). Let r be q/(2/(-1) + 4). Suppose -r*v = -8*v + 90. What is the least common multiple of v and 8?
72
Calculate the common denominator of -25/4 and (-31)/4 + -3 + -4.
4
Let v = -744/65 + 50/13. What is the common denominator of v and 57/5?
5
Suppose -3*j - 2*j + 30 = 0. Calculate the common denominator of 20/3 - 2/j and 73/9.
9
Let n(g) = -8*g - 1. Let s(x) = -3*x + 3. Let b be s(5). Let v = -8 - b. Calculate the least common multiple of n(-1) and v.
28
Calculate the least common multiple of (13 - 31)/(3/(-2)) and 20.
60
Let k = -1 + 2. Let p be 2/k + (-7706)/14. Let z = -547 - p. Find the common denominator of -4/7 and z.
7
Let v(i) = i**3 - 4*i**2 - i + 7. Let o be v(3). Find the common denominator of (o - -8)*(-11 + 0) and 8.
1
Suppose -10 = -2*r, 5*z + 4*r + 175 = 3*r. Find the common denominator of 23/11 and (z/(-30))/(2/(-20)).
11
Suppose -r = -4*g - 144, 3*r + 72 = -3*g + g. What is the common denominator of 17/14 and (-4)/(-18) - (-674)/g?
14
Suppose 4*r - 556 = -124. Suppose 6*j - 3*j = r. Suppose -j = -2*h - h. What is the lowest common multiple of 2 and h?
12
Let y = 574/39 - 3258457/390. Let v = 8330 + y. Find the common denominator of 49/10 and v.
10
Let c(l) be the third derivative of 4*l**2 + 0*l + 11/12*l**4 + 0*l**3 + 0. What is the least common multiple of 18 and c(1)?
198
Let y be (27406/(-396))/((-2)/6). Let z = y - 1225/6. Calculate the common denominator of ((-29)/(-4))/(10/(-8)) and z.
55
Let r(x) = -42*x - 12*x + 10*x. Let h be r(1). What is the least common multiple of 22 and 5*(h/(-10) + -2)?
132
Let p(h) = -h**3 - 7*h**2 - 3*h. Let q be p(-6). Let m = q - -26. What is the smallest common multiple of m and 10?
40
Let q = -47 - -51. Calculate the least common multiple of q and 22.
44
Let v be ((-12)/(-8095))/(674/35977). Let f = v + -16/8095. Let h = 20141/5392 + f. Find the common denominator of 117/14 and h.
112
Let a = 148/21 + -5039/420. Let w be (-6068)/66*9/(-1644). Let k = w - -12/137. What is the common denominator of a and k?
220
Let g be (-6)/4*(-24)/(-9). Let r = -18 - -31. Let a = g + r. What is the least common multiple of 9 and a?
9
Let l(w) = w**3 - 8*w**2 + 9*w - 9. Let r be l(7). Suppose -5*j + 4 = 2*c + 2*c, 2*j + 5*c = r. Find the common denominator of 1 + j + (-774)/120 and -71/22.
220
Let n = 75995/14 - 5431. What is the common denominator of 3/14 and n?
14
Let v(k) = k**2 - 2*k + 5. Calculate the least common multiple of v(5) and 20.
20
Suppose 0 = 4*a + 3*m - 335, 7*m - 420 = -5*a + 3*m. What is the common denominator of 1/1 - (-252)/a and (-134)/(-16) + 0 + 2?
40
Let d be -19*1*(1 - 2). Let a be 2/30*5 + (-97)/3. Let i = a + d. Find the common denominator of -101/8 and i.
8
Let s(y) = -y**3 + 7*y**2 + 8*y + 10. What is the least common multiple of 20 and s(8)?
20
Let g = 2655249/336110 + 2/33611. Find the common denominator of 89/22 and g.
110
Let w = -77 + 17. Let o = -448 - -745. Find the common denominator of 37/18 and o/w*10/4.
72
Let j = 760 + -13675/18. Find the common denominator of j and 70/(-24) + 3/(-2).
36
Let b = -4 - -7. Calculate the common denominator of (214/(-24))/(5/b) and 31/18.
180
Suppose 95 = -5*n - 5*d, -4 = n + 3*d + 5. Let v = 36 + n. What is the least common multiple of v and 6?
12
Suppose -o + 0*o = 4. Let m(g) be the third derivative of g**6/120 + g**5/10 + g**4/4 + 3*g**2. What is the least common multiple of m(o) and 9?
72
Let m = 66 + -65. Calculate the least common multiple of m and 4.
4
Find the common denominator of 117/10 and (1/3)/((-90)/(-285)).
90
Let q = 0 - -8. Suppose 0 = -3*x - 0*x + 27. Calculate the lowest common multiple of x and (-33)/(-15) + q/10.
9
Suppose -4*j = -9*j + 175. Find the common denominator of (-20 + 2)*10/j and 8/3.
21
Let d(c) = c**2 + 2*c - 1. What is the lowest common multiple of 11 and d(1)?
22
Suppose -7*z + 5 = i - 2*z, -2*i - 3*z - 11 = 0. Calculate the common denominator of -51/5 and (-1 - i)*87/(-18).
10
Let a = 2245 - 96513/43. What is the common denominator of -17/10 and