3651823/12 + -301984. Let x = -2344 + i. Calculate the common denominator of x and 1*(-111)/(-14) - (6 - 4).
84
Suppose 8 - 24 = -2*f. Suppose 34*a + 48 = 37*a. Calculate the least common multiple of f and a.
16
Let f = 332/3 - 1295/12. What is the common denominator of f and -18?
4
Let y = -2889/4 - -701. Calculate the common denominator of y and (4 - (-15)/4)/2.
8
Suppose -12*m = -15*m + 18. Suppose 5*f - 9 = 31. Let d(x) = -x**3 + 7*x**2 + 10*x - 12. What is the least common multiple of m and d(f)?
12
Let t = 250350645/104 - 2407199. Let q = -12713 - -165433/13. Let u = t - q. What is the common denominator of -35/4 and u?
8
Let d = 28 + -25. Find the common denominator of 65/28 and 4/d*140/(-32).
84
Let j = -280269/34118 + 1/2437. Calculate the common denominator of j and 143/70.
70
Let b = -112 - -119. What is the least common multiple of b and 5?
35
Let q be (-4)/8 - 1/2. Let f = 4 - q. Calculate the smallest common multiple of 8 and f.
40
Suppose -8 = -5*t + 2. Let s(i) = 2*i**2 + 2*i - 1. Calculate the smallest common multiple of 2 and s(t).
22
What is the lowest common multiple of 40 and (-1 - -9)/(23 + -22)?
40
Let a = -433/56 + 6/7. Let r = -962 + 6695/7. Calculate the common denominator of a and r.
56
Let r = -13133/2 - -433265/66. What is the common denominator of r and 73/33?
33
Suppose h - 3*p = 18, -5*h = 4*p - 18 - 15. What is the least common multiple of 9 and h?
9
Suppose -3*i - 30 = 3*u, -4*i - 21 - 19 = 3*u. Suppose 4*x - x = -30. What is the lowest common multiple of (-96)/x - (-6)/i and 7?
63
Calculate the lowest common multiple of 10 and 4/(-14) - 172/(-14).
60
Find the common denominator of (3/12)/(12/267) and (-43)/6*3/(-5).
80
Suppose 2*h + c = 11, 3*h + 3 = 6*c - c. Suppose -3*b - h*n + 12 = -0*n, -b + 4 = -5*n. Calculate the smallest common multiple of (-4)/(1 + 3/(-2)) and b.
8
Suppose -5*d = -2*d - 24. Let u(k) = k - 6. Let h be u(d). Calculate the smallest common multiple of ((-66)/15)/(h/(-10)) and 6.
66
What is the common denominator of 87/10 and (-452)/(-6)*(-45)/(-600)?
20
Let q = -28 + 36. Suppose 0 = -z + 7 + 1. Suppose -z - q = -4*c. What is the smallest common multiple of c and 12?
12
Suppose 0*l + l + 20 = 2*x, 2*x + 5*l - 8 = 0. Suppose -3 = 4*q - q. What is the smallest common multiple of (-16)/(q*(3 - 1)) and x?
72
Let z = 161207/27152 + 1/3394. Find the common denominator of -37/4 and z.
16
Let f = 4 - 3. Calculate the common denominator of 31/10 and (f/(-12))/(4/402).
40
Suppose -u + 0*u = -5. Let o = -1 + u. What is the smallest common multiple of o and 20?
20
Let m(s) = s**3 - 7*s**2 + 2*s + 4. Let h = 4/209 - 13412/1881. Calculate the common denominator of m(6) and h.
9
Let a = -6/5011 + 546235/30066. Suppose -30 = m + 4*i, -8*i + 4*i = 0. Find the common denominator of a and (-73)/(-6)*9/m.
60
Let w be 2/8 - (-171)/36. Suppose -6*x + 4*x = -w*v + 50, -2*v + 20 = -3*x. Calculate the lowest common multiple of v and 7.
70
Suppose -3*g - 2*h = -0*g + 34, -5*h - 19 = 2*g. Let u = g - -7. Let q = 7 + u. Calculate the lowest common multiple of q and 14.
14
Let y = 3643 - 25548/7. Let g = -2/3337 - -156845/10011. Find the common denominator of g and y.
21
Calculate the common denominator of -15/44 and 6/4*21/(-99).
44
Suppose x = 4*x + 360. Let v = 50 + x. Find the common denominator of v/(-8) + 2 - 0 and 7/5.
20
Suppose 4*k - 38 + 34 = 0. Calculate the smallest common multiple of 1 and k.
1
Suppose 4*n = 62 + 46. Let g be (6/n)/(3/(-849)). Let f = g + 63. Calculate the common denominator of f and -33/5.
45
Let r be (-5)/(42500/6199) - -2. Let f = -3/500 + r. Calculate the common denominator of 5/16 and f.
272
Let z(n) = n**2 - 10*n - 17. Let m be 6*(9/3 + -1). Suppose 0 = -3*h + 12, -4*h - h + 36 = 2*g. Calculate the lowest common multiple of g and z(m).
56
Calculate the common denominator of ((-3)/(-132))/((-213)/(-54) + -4) and 11/62.
682
Suppose 0 = -3*j + j + 6. Suppose -3*p = -2*l + 12, 2*l + 2*l = -j*p + 24. What is the common denominator of 4/l - (-274)/48 and -3/20?
40
Let n = -10 + 12. Suppose 2*q = 7*q - 2*l - 78, n*l = q - 14. What is the lowest common multiple of q and 8?
16
Suppose -3*l + 7 = -k, 5*k - 30 = -5*l + 15. Calculate the common denominator of 248/12*(-3)/l and (-5)/(-20)*-1 + (-948)/80.
10
Let p = -5905/3234 + -4/539. What is the common denominator of -23/11 and p?
66
What is the least common multiple of 9 and (-6 + 1)/(-5) + 5?
18
Let a = -3 + 12. Let q be a/6*197045/(-24). Let v = 12309 + q. What is the common denominator of v and 73/14?
112
Let z(r) = 3*r**2 - 10*r + 4. Let f be z(-12). What is the common denominator of f/48 - (2 - 3) and 1/22?
132
Let c = 11 - 0. Let r(t) = t**3 + 2*t**2 - 3*t. Let n be r(-4). What is the least common multiple of ((-27)/6)/(15/n) and c?
66
Suppose 4*j - 32 = 5*c, 0*j - 5*c + 72 = 4*j. Let k = 18 - j. Suppose t = -4, -28 = 5*n - k*t - 88. Calculate the lowest common multiple of 12 and n.
24
Calculate the common denominator of 123/40 and 1*1/11*(-3745)/(-140).
440
Suppose 3*b - 6*b = 12. Let x(r) = 2*r**2 - 2*r - 5. Let t be x(b). Calculate the common denominator of (4/(-10))/(t/25) and -57/7.
7
Let x = -29348/7 + 4201. Let t = -2714597/7 + 386615. Let a = -1181 - t. Calculate the common denominator of x and a.
7
Let d(w) = -w**2 + 12*w - 13. What is the lowest common multiple of 24 and d(7)?
264
Suppose 3*q - y + 29 = 0, -5 = 6*y - y. Let n be (6/q)/(2/(-30)). Suppose 5*b = f + b + n, -5*f + 5*b = 0. Calculate the smallest common multiple of 5 and f.
15
Let y = 13 - 15. Let k = -28925/8 + 3622. What is the common denominator of 4/(y + 9/8) and k?
56
Find the common denominator of -109/14 and (-10)/(-16)*666/135.
84
Suppose 9 = -4*y + 49. Calculate the smallest common multiple of y and 8.
40
Find the common denominator of (4/30*-5)/((-12)/142) and 23/33.
99
Suppose 5*r = 4*r + 24. Calculate the least common multiple of r and 12.
24
Suppose 5*n - 2*k + 6 = 0, -2*k = -4*k + 6. Suppose 0*j - a = -4*j + 63, n = j - 5*a - 11. What is the common denominator of 3 + -3 + 41/j and 51/8?
16
Suppose -b = 1 - 2. What is the least common multiple of 5 and b?
5
Let i = -32 - -63. What is the least common multiple of 5 and i?
155
Let r = -15845/8 - -1974. Find the common denominator of r and 98/(-8) + (-2)/(-6).
24
Let n(s) = -7*s - 1. What is the smallest common multiple of 11 and n(-1)?
66
Let g be (-64)/(-1) - 1*3. Suppose 39 = 5*q - g. Suppose 5*m = 20 - 0. Calculate the smallest common multiple of q and m.
20
Let o = -285284/21 - -3804091/280. Let s = o - -4/105. Calculate the common denominator of s and 3/7.
56
Let l(f) = -f**3 + 11*f**2 + 10. Let v(d) = d**3 + 4*d**2 - 2*d - 2. What is the smallest common multiple of v(-4) and l(11)?
30
Let m = -36 - -7. Let l(q) = -q**3 - 8*q**2 - 3*q + 7. Let y be l(-7). Let r = y - m. What is the smallest common multiple of 6 and r?
24
Let o = 11 - 8. Suppose 0 = -o*a + 5*a - 12. Suppose -3 = -k, 4*d - 42 = -3*k + 39. Calculate the lowest common multiple of d and a.
18
Let t = -68224/185 - -5490/37. Let n = t - -8661/40. What is the common denominator of 212/66 + (-24)/36 and n?
88
Let p be 7/3*(-9)/1. Let g = -11 - p. Suppose 22 + g = 4*v. Calculate the smallest common multiple of v and 4.
8
Let h = -444947/110 - -4045. Let x = 797/220 + h. Find the common denominator of x and -65/12.
60
Suppose v + 4 = 2*i, 6 = 5*v + 26. Suppose 2*z = 4*l + 1088, -3*z + 6*l - l + 1627 = i. Calculate the common denominator of (6/(-108))/((-4)/z) and 9/22.
132
Calculate the smallest common multiple of -4 + 1 - (-3 + -22) and 22.
22
Suppose 6*n = 3*n + 4*p - 2583, -861 = n + 5*p. Let h = n + 6811/8. What is the common denominator of h and -103/18?
72
Let q = -434079343/60 - -7231101. Let d = 23092/15 + q. Let u = -1997 - d. Find the common denominator of -19/6 and u.
12
Let s(v) = v**2 - 7. Let o(q) = 3*q - 12. What is the lowest common multiple of s(-5) and o(8)?
36
Let j = -4/1107 - 50902/5535. Find the common denominator of j and 37/6.
30
Let c = -4817/102 + 528/17. Calculate the common denominator of (-35)/42*485/(-25) and c.
6
Let c = 17677 - 636229/36. Find the common denominator of c and 31/8.
72
Let i be (4 - 3 - 2)*6. Let p(z) = -z**3 - 6*z**2 - z - 7. Let d be p(i). Calculate the lowest common multiple of (21 - 2) + 