
18
Let n(w) = -7*w**2 + 7*w + 6. Let d be n(-6). What is the lowest common multiple of d/(-20) + 4/(-10) and 20?
140
Calculate the lowest common multiple of (2 + -17)/(-5) + (1 - -16) and 10.
20
Let b be (-576)/(-22) + 2/(-11). Suppose 0*l = l + b. Let s = 38 + l. What is the least common multiple of s and 16?
48
Suppose 0 = n + 3*n + 19404. Let f = 96929/20 + n. Calculate the common denominator of f and -85/4.
20
What is the common denominator of 55/3 and (3124/(-24))/(-11)*-2?
3
Let r = -5421 + 43307/8. Let w be ((-12)/(-63))/((-2)/(-26463)). Let b = 2526 - w. What is the common denominator of b and r?
56
Suppose -5*t = 185 - 735. What is the lowest common multiple of 4 and t?
220
Let s be (-4)/10*660/(-3). Let j = 28 - 55. Find the common denominator of (-4 + 0)*(-52)/s and j.
11
Let s be 11/8*(3663 + 2). Let k = 5032 - s. Find the common denominator of k and -3/4.
8
Let j(f) = -f**3 - f**2 + f - 3. Let c be j(-3). Calculate the common denominator of (-253)/c - 1/(-3) and 86/12 - (-1)/2.
12
Let j be ((-12)/(-9))/(4/6). Let a = -3883/204 + 121/17. What is the common denominator of -6*(-27)/(-84) - j and a?
84
Suppose -1268 = 4*x + 520. Let m = x - -829/2. Find the common denominator of -79/20 and m.
20
Calculate the common denominator of -87/16 and 145/36 + 2 + (-48)/27.
16
Let j = 3391/255 - -3/85. What is the common denominator of -3 - (-4 - -2) - (-393)/18 and j?
6
Let p(c) = c**3 + 3*c**2 - 4*c. Let t be p(-4). Suppose t*j = -2*j + 20. What is the lowest common multiple of (0 + (-11)/(-2))*4 and j?
110
What is the common denominator of (6/4)/((-36)/(-316)) and (-3)/36*-177 + -3?
12
Let p(o) = o**3 + 4*o**2 - 9*o - 10. Calculate the least common multiple of p(-5) and 7.
70
Let h(a) = a**3 + 5*a**2 + 4*a + 1. Let l be h(-3). Suppose -3*j - 5*z = 113, 9*z - 67 = 2*j + 4*z. What is the common denominator of (l/j)/(2/(-42)) and 3/22?
132
Let x = 20 - 2. What is the smallest common multiple of x and 4?
36
Let i(d) = 1 - d + 3 - 10. Calculate the smallest common multiple of 10 and i(-12).
30
Calculate the common denominator of (-1)/(-1) + (-287)/98 and 19/6.
42
Let g = -150017/10 + 15014. Let o be (3 + -2)/((-1)/125). Calculate the common denominator of 3/4*o/9 and g.
60
Let u(o) = o**2 + 8*o - 7. Let s be u(-9). Suppose s*q = 2 + 2. Calculate the lowest common multiple of q and 7.
14
Let h(i) = -2*i**2 - 2*i**3 + 0 + i + 0. Calculate the least common multiple of (12 - 6)*(-4)/(-8) and h(-2).
6
Suppose 11*x - 32 = 9*x. Let j be (0 - 1) + (1 - 0). What is the least common multiple of -1*20*(-1 + j) and x?
80
Let j(x) = x**2 + 5*x + 4. Let d be j(-5). Suppose 0 = -4*a + 19 + 13. What is the lowest common multiple of a and (6/d)/((-3)/(-40))?
40
Let i be (-2 + 9)*(9 + 6). Calculate the common denominator of (-3)/i*(-1170)/(-4) and -43/4.
28
Suppose 0 = -3*b - 0*b + 12. Suppose -5*d - 8 = -b*n - d, -n + 5*d + 10 = 0. Suppose n = r - 0*r - 1. Calculate the smallest common multiple of r and 5.
5
Let q = 29 + -23. Calculate the smallest common multiple of 7 and q.
42
Let x = 35 - 27. Calculate the lowest common multiple of x and 4.
8
Suppose 20 = 4*d, -3 - 1 = -i - 2*d. Let x = i - -20. Calculate the smallest common multiple of (3 + 4/(-1))*-12 and x.
84
Let i = 7540/17 - 133153/306. Calculate the common denominator of -69/86 and i.
774
Suppose 5*l = -494 - 116. What is the common denominator of (-471)/(-12) + 1/4 and l*(-1)/10*1?
10
Suppose 32 = -2*s + 6*s. Let c = 358 + -4349/12. What is the common denominator of c and s/(-4) - (-14)/(-20)?
60
Let d = -103/4 - 47/4. Find the common denominator of d and ((-2)/(-6))/(10/3).
10
Suppose -2*m = -7*m + 10. Suppose t - 1 - 7 = 0. Calculate the lowest common multiple of t and m.
8
Let r be 0/(1 + (3 - 3)). Suppose -o - 2*o = r, o = 3*k - 33. What is the smallest common multiple of k and 2?
22
Let f be 20/14*(-5 - -12). Suppose f = 2*a - 2. Calculate the least common multiple of a and 9.
18
Let f be 0 + 0 + 390*4. Find the common denominator of (-3)/(-7) + f/(-112) and 93/2.
2
Let d(w) = 3*w**2 + 0 - 2*w**2 - 2 - 4*w. What is the smallest common multiple of d(5) and (-1*(-1)/(-2))/((-13)/156)?
6
What is the common denominator of (53/4)/((21/7)/(-3)) and 40/17?
68
Let j = 10 + -5. What is the least common multiple of j and 3*(3 - ((-24)/(-18) - 1))?
40
Let o = 2698/11 + -244. Let y(g) = -3*g**2. Let w be y(-2). Calculate the common denominator of o and (-3)/w*184/(-5).
55
Let i(p) = p**3 - 17*p**2 + 15*p + 20. Suppose 0 = -2*s - q + 8, 3*s + s + 4*q - 24 = 0. What is the least common multiple of s and i(16)?
4
Let h be 6/(-12) - 135930/(-22). Let p = 6177 - h. Calculate the common denominator of -63/10 and p.
110
Let j = -1 + 1. Let n(s) = -s + 20. What is the smallest common multiple of n(j) and 12?
60
Suppose 615 = -5*a + 110. Suppose 0*z = -3*z + 132. Calculate the common denominator of (-1)/4 + a/z and 49/10.
110
Let u be 143/1 - (1 - 2). Let a(g) = 5*g**2 - 16*g + 18. Let w be a(8). Find the common denominator of ((-54)/20)/(u/w) and 23/18.
144
Let g be 25 + 1/1 + -2. What is the common denominator of 49/g*(-3 - 0) and (-58)/12 - (-2 + 1)?
24
Suppose 2*i = -2 - 14. Let r(d) = -3*d - 10. What is the smallest common multiple of 14 and r(i)?
14
Suppose -3*h - x + 53 = 0, -h + 0 = 3*x - 15. Let c(m) = -m**3 + 5*m**2 - 4*m + 4. What is the smallest common multiple of (-4)/h + (-200)/(-9) and c(3)?
110
Let k = 137/3 + -367/6. Find the common denominator of k and 119/20.
20
Let w = -439051639725/2618 - -167704983. Let d = 2/187 + w. Let z = 105127/16 - 6565. Calculate the common denominator of d and z.
112
Find the common denominator of -4*2 - 14/(-49) and ((-1)/(-4)*-2)/1.
14
Let k = -264005/61686 - -7/3427. Find the common denominator of k and -65/24.
72
Let y = -25 - -29. Calculate the least common multiple of 20 and y.
20
Let o = 152/3 - 52. Find the common denominator of o and -41/6.
6
Suppose u = -2*u - d + 54, -d - 48 = -3*u. What is the smallest common multiple of u and 7?
119
Let i = -32 + 45. Let w = 5 - i. Find the common denominator of 15/11*4/w and -41/14.
154
Let o = 85069/45694 + 4/2077. What is the common denominator of o and 81/26?
286
Let r(d) = d**2 + 8*d - 25. Calculate the least common multiple of r(-15) and 20.
80
Find the common denominator of -1244*3/(-180) + 2/(-5) and -5/12.
12
Let r be (0 + 3)*2/2. Let o be 32/r - (-4)/(-6). Let k = o + 1. What is the smallest common multiple of 10 and k?
110
What is the common denominator of -33/2 and ((-3)/2)/(0 + -3)?
2
Let y = 4265/9 + -476. Calculate the common denominator of y and 354/(-16)*(-1)/((-9)/(-3)).
72
Let g = -21 + 32. Suppose 3*q = -q + 12. Suppose -2*b - q = -5. What is the smallest common multiple of b and g?
11
Let k(d) be the second derivative of d**4/12 + d**2/2 + 2*d. Let a(j) = j**3 + j**2 + j + 16. Calculate the lowest common multiple of a(0) and k(-3).
80
Let x = 27936/11 + -73747/22. Let f = x + 796. What is the common denominator of f and -67/6?
6
Let l(x) = -x**2 + 9*x - 2. Let g be (0 - (0 - 5)) + 1. Calculate the smallest common multiple of 20 and l(g).
80
Suppose -3*x + 9 = 0, -81 = -k - 2*k + 3*x. What is the lowest common multiple of 12 and k?
60
What is the common denominator of (6/(-32))/(15/355) and 27/2?
16
What is the common denominator of ((-453)/(-108))/((-4)/(-8)) and -19/12?
36
Let k(x) = 3*x**2 + 33*x + 34. Let a = 10 + -6. Calculate the least common multiple of k(-10) and a.
4
Let y(b) = -2*b**2 + 17*b + 14. What is the lowest common multiple of y(9) and 1?
5
Calculate the least common multiple of ((-4)/(-3))/((-2)/(-6)) and 12.
12
Let j(n) = -n - 6. Let r be j(-11). Suppose 192 - 22 = r*s. Calculate the least common multiple of s and 2.
34
Let o = 5569/140 + -198/5. Calculate the common denominator of -107/20 and o.
140
Let z = -353/15 + 1879/120. Find the common denominator of z and 87/2.
8
Let c = 2/269 + 2393/3766. What is the common denominator of (-5)/15 - (-526)/(-132) and c?
154
Suppose -3*t - 7272 = -549. Let v = t - -194969/87. Let b = -1289/696 - v. Find the common denominator of 19/10 and b.
40
Let n(g) = -g. Let z be n(-2). Suppose 0 = z*a - 4*a + 2. Calculate the least common multiple of 6 and a.
6
Calculate the common denominator of 56/5 and (-15)/(-6)*267/(-60).
40
Let n(p) be the seco