-9*f. Let r be m(-2). Let i = r + -12. What is the least common multiple of i and (8/(-6))/(2/(-9))?
6
Let s = 2/2053 - 34917/16424. Let g = 120 + -1199/10. Let d = g + -357/20. Calculate the common denominator of d and s.
8
Let u(k) = k + 6. Let w = 0 + -2. Let z = w + 12. Calculate the lowest common multiple of z and u(-4).
10
Let p(i) = -22*i - 1. Let d be p(-1). Suppose -5*b + 59 + d = 0. Calculate the least common multiple of b and 6.
48
Find the common denominator of (-3)/78*-88 + -2 and -121/6.
78
Suppose -2*z = g - 0*g - 40, -4*g = 0. Let r(c) = -c**3 - 2*c**2 + c - 2. Calculate the smallest common multiple of z and r(-3).
20
Suppose 0*h + 18 = -2*h. Let x be ((-6)/h)/((-62)/(-330)). Let a = x + -2140/341. Find the common denominator of 111/10 and a.
110
Let k = 1621/1533 + 150050165/24528. Let f = k - 108043753/17680. Let d = f + -20/221. Find the common denominator of d and 73/4.
20
Suppose -5*i - 4*l + 11 = -5, 3*i = 5*l + 17. Let q(p) = -p**2 + 6*p - 2. Let y be q(i). What is the least common multiple of (-10)/y*(1 + -13) and 12?
60
Let i(c) = c**2 - c - 6. Let s(g) = g**2 - 1. Let v(a) = -i(a) + 2*s(a). Calculate the least common multiple of 1 and v(-3).
10
Let o(w) = -w**3 - 5*w**2 - 4*w + 2. Let c be o(-4). Suppose -c*h = 2*h - 32. What is the smallest common multiple of 3 and h?
24
Let b be (812798/28)/(154/(-6)). Let j = -7928/7 - b. Calculate the common denominator of -73/2 and j.
22
Let h be ((-59)/66)/(6/(-261)). Let r = h + -348/11. Let a = -3745/9 - -417. Calculate the common denominator of a and r.
36
Let z = 15/391 - -12693/5474. What is the common denominator of -161/30 and z?
210
Let g = 6 + -4. Suppose -o = -2*d - 9, -o - g*d + d - 3 = 0. What is the least common multiple of 7 and o?
7
Let a be (0 - 0) + -1*2. Calculate the smallest common multiple of (-2)/(a*1/7) and 2.
14
Suppose 27 = 4*p - 9. Let g(t) = -t**2 + 7*t - 1. Let b be g(7). Let y = p - b. What is the least common multiple of 5 and y?
10
What is the lowest common multiple of 21/84 + (-478)/(-8) and 21?
420
Let i = -58 + 91. Calculate the smallest common multiple of i and 15.
165
Let a = -9094 + 672923/74. Calculate the common denominator of 25/16 and a.
592
Suppose -20 + 8 = -3*t. Let d be (2 + 0)/(2/t). Suppose d*m + 13 = b, b = 2*m + m + 12. Calculate the smallest common multiple of 10 and b.
90
What is the smallest common multiple of -3 + 5 + (0 - -16) and 4?
36
Let b = 4 - -4. Suppose d + b = 3*d. Calculate the smallest common multiple of d and 7.
28
Let c be ((-4522)/(-8))/7 - 3. Let f = c + -2025/28. What is the common denominator of f and 61/3?
21
Let i be (-19835)/(-100)*(-8 - -2). Let t = -1189 - i. What is the common denominator of -83/4 and t?
20
Let i = -36 - -46. What is the least common multiple of i and 16?
80
Let f = 2 + 3. Suppose 3*b - 2*b - 20 = 3*t, 4*t + 67 = f*b. Let d(o) = 2*o**2 - 1. Calculate the least common multiple of b and d(-1).
11
Let r = -47665/6 - -7969. What is the common denominator of 81/2 and r?
6
Suppose g = -3*g - 96. What is the common denominator of ((-28)/(-10))/(g/(-50)) and 33/16?
48
Suppose -4*t - 1 + 9 = 0. Calculate the least common multiple of t and 4 - ((4 - 2) + 0).
2
Let a = -43 - -73. What is the smallest common multiple of a and 4?
60
Let o(z) = -3 - z**2 + 3 + 2*z + 31*z**2 - 2. Let q be o(2). Calculate the common denominator of q/(-12)*(-6 + 7) and 51/22.
66
Let d(g) = g**3 - 8*g**2 - 3*g + 5. Suppose 5*c = 14 + 16. Let a be d(c). Find the common denominator of 59/20 and a/(-3)*(-1)/(-6).
180
Suppose -2*t = 3*n - 8, -4*t + 2*n = 3*n - 36. Calculate the least common multiple of t and 6.
30
Suppose 4*n - v + 3*v = 8, -n = -2*v - 7. Let h(i) = 6*i - 6. What is the smallest common multiple of 2 and h(n)?
12
Let o be -3 + (-4)/((-8)/(-10)). Calculate the common denominator of -35/8 and (o/20)/(32/310).
8
Let t = 14 - 0. Suppose -55 - 36 = -2*z - 3*b, -z + 13 = -5*b. Let g = 58 - z. Calculate the smallest common multiple of t and g.
140
Let o = -7 + 7. Suppose o*p - 12 = -p. Calculate the smallest common multiple of 8 and p.
24
Let w = 694796/27 + -25736. Find the common denominator of -151/30 and w.
270
Let g(v) = v**2 + 2*v + 5. Let n be g(-5). Let q be (n + 2)/((-167)/(-2)). Let p = 20981/1670 - q. Find the common denominator of -23/6 and p.
30
Let x(t) = -t**2 - 16*t - 14. Calculate the least common multiple of 2 and x(-14).
14
Let l be 14/6*(-1)/(-101). Let w = l - -28687/4242. Calculate the common denominator of w and 93/14.
14
Let s be 4/6 - 109482/9000. Let n = s - 1/500. What is the common denominator of 97/20 and n?
20
Let g(u) = u**3 - 6*u**2 - 5. Let b = 9 + -3. Let d be g(b). What is the common denominator of 83/2 and (-4)/8*58/d?
10
Suppose -5 = -2*b - l, 3*b + 2*b - l - 30 = 0. Let q be (1 + -3)*(-1 + b). Let a = -6 - q. Calculate the least common multiple of 5 and a.
10
Suppose 0 = 2*r - 0*r + 36. Let s(d) = d**2 - 2*d - 5. What is the common denominator of s(-5) and (-3)/(r/(-137)) + 2?
6
Suppose 5*l - 32 + 11 = 4*g, -4*l + 2*g = -12. Let j be 2/(-6)*(4 - l). Let t = j + 4. What is the lowest common multiple of t and 5?
15
Suppose -5*o + 24 = -3*k, -k - 6*o + 4*o = 8. Find the common denominator of -85/18 and 8/(-10) - (-2)/k.
180
Let x = 2623/1104 - 13/69. Calculate the common denominator of 119/10 and x.
80
Let v = 449/42 + -111/14. Find the common denominator of 73/15 and v.
105
Suppose 5*s = -45 + 115. What is the lowest common multiple of 8 and s?
56
Calculate the common denominator of 29/6 and (-111)/90*10/(-12).
36
Let p = 6 + -5. Suppose 2*n = 5 - p. Calculate the least common multiple of n and 18.
18
Let c = -29 - -49. Calculate the common denominator of 2/7 - (-1564)/112 and c.
4
Let h = 12 + -8. Suppose h*g + g = 10. Suppose -4 - g = 3*v, 2*f = -v + 42. Calculate the least common multiple of 12 and f.
132
Let p = 1609 + -3281/2. Find the common denominator of (6 - 2)/2 + -51 and p.
2
Suppose -19 = -4*n - 163. Calculate the common denominator of n and 34/11.
11
Let c(m) = -27*m - 11*m + 8 + 10*m. Let t be c(-7). What is the common denominator of (4/6)/((-4)/t) and 55/3?
3
Let h = 22459/713 - -1/1426. Calculate the common denominator of -41 and h.
2
Let u = -9686781077/634 + 15278784. Let d = 2/317 + u. Calculate the common denominator of 28/9 and d.
18
Find the common denominator of (-526)/(-60) + (-12)/(-30) and -71/18.
18
Suppose -2*v + 2*i = -72, 2*v - 57 = 6*i - i. Suppose -t + 49 = 3*t + 5*m, -2*t + 3*m + v = 0. Calculate the smallest common multiple of 16 and t.
16
Let d = -17 + 23. Suppose 4*k - 4*w - 44 = 0, 5*k + 8 = 4*w + 61. What is the smallest common multiple of k and d?
18
Calculate the least common multiple of (36/42)/(2/28) and 6.
12
Let z(b) = b**3 + 6*b**2 + 3*b + 2. Let m = 0 - 5. Let r be z(m). Find the common denominator of 305/r + (-4)/6 and 113/12.
12
Suppose 0*f - 3*f + 36 = 0. Let h be (-1971)/(-15) + 3/5. What is the lowest common multiple of f and (2/3)/(11/h)?
24
Let r be 39 + (-2 - (2 + -1)). Suppose 4*v = -h + 72, h - r = -2*v + 3*h. Calculate the least common multiple of 18 and v.
18
Let l = -6119/170 + 464/17. What is the common denominator of -107/12 and l?
60
Suppose 0 = -5*v, -4*v + 21 = a - 0*v. Let u = 41 - a. What is the lowest common multiple of u and 2?
20
Let x(l) = 2515*l + 2. Let w be x(2). Let t = 353083/344 - 260850/43. Let n = t + w. Calculate the common denominator of 5/16 and n.
16
Suppose -9 = -2*m - 4*j + 11, -4*m - 8 = -4*j. Suppose -m*b + 0 = 2. What is the common denominator of (b - -1) + (-1)/(-4) and -83/10?
20
Suppose -6*h - 11436 = -2*k - h, -2*k + 11412 = h. Let r = k - 57131/10. Find the common denominator of r and -75/2.
10
Let k = 5/401 - 7674/4411. What is the common denominator of k and -10/9?
99
Let s be (5 - 0/2) + -2. Suppose -v - s = -1. Calculate the common denominator of 48/5 and 59/(v - (-16)/(-2)).
10
Suppose -4*z + 63 = 5*m, -5 = -2*m + 1. What is the smallest common multiple of 99 and z?
396
Let y(c) = c + 2 - 1 - 1 + 7. Let u be (-1)/4 + 1/4. Calculate the smallest common multiple of y(u) and 8.
56
Suppose -2*t + 2 = -24. Calculate the least common multiple of t and 3.
39
Suppose 5*i = 144 + 276. Let p be (2 - -1)/i*16314. Let v = 583 - p. Find the common denominator of 77/2 and v.
14
Suppose 2*k - 5*c