 = -2*x - 5*w. What is the common denominator of x/8 + (-11)/(-5) and (17/(-54))/((-2)/30)?
180
Suppose 6*m + 27 = 5*m. What is the common denominator of (m/(-2))/((-12)/(-5)) and 32/5?
40
Suppose 1 = 3*k - 2*k + 3*f, 2*k = -5*f + 5. Let g = -2 + 4. Calculate the lowest common multiple of (0 - g)*(0 + -6) and k.
60
Suppose 37389 = 5*b - 2*b. Let l = b - 124517/10. Find the common denominator of l and 5/(-20) - 243/(-24).
40
Let a = 14/11 - 171/22. Let w be 44/(-522) + (-4)/(-18). Let p = -857/116 + w. Calculate the common denominator of a and p.
4
Let p = -4018706102/26849955 + 2/488181. Let k = p + 742/5. What is the common denominator of -6/11 and k?
11
Suppose -3749 + 12069 = -5*i. Let h = 26563/16 + i. Let a = -84/263 + 25277/4208. Find the common denominator of h and a.
16
Calculate the common denominator of 28/98*32/(-11) and -3/11.
77
Let x(g) = g**3 + 4*g**2 - 7*g - 6. Suppose -11 + 31 = -4*m, 0 = -4*y - 4*m + 36. What is the lowest common multiple of y and x(-4)?
154
Let a(c) = -c + 13. Let n(l) = l**3 + l**2 + l + 2. Suppose 12 = d + o - 4*o, -2*d + 16 = -4*o. What is the least common multiple of n(d) and a(9)?
4
Let j(b) = 9*b - 2. What is the lowest common multiple of j(1) and 5?
35
Suppose -9 = r + 2*b, 4*b + 1 + 11 = 4*r. Let n be r/3 - (-28)/(-6). Find the common denominator of -47/2 and 14/(-6)*6/n.
10
Suppose 5*f - 1 = -3*i - 0, -4*i + 8 = 0. Calculate the common denominator of (114/(-15) - -3) + f and 30/11.
55
Let x(q) = 2*q - 3*q - 3 + 5 + 0*q. What is the lowest common multiple of x(0) and 12?
12
Let i = -63752 - -514223/8. Suppose -t = -88 - 443. Let c = t - i. Calculate the common denominator of 53/8 and c.
8
Calculate the lowest common multiple of 18 and -7*(-4)/(-16)*-8.
126
Let w be 2/(2 - 64/31). Let r = -13 - w. What is the least common multiple of 4 and r?
36
Let i = -661 + 3278/5. What is the common denominator of ((-3)/(-36))/(3/(-124)) and i?
45
Let n(x) = x**2 - 22*x + 10. What is the least common multiple of n(22) and 8?
40
Suppose -10 = 2*z - 4*x - 2, 2*z - 20 = -3*x. Calculate the least common multiple of z and 26.
52
Suppose -4*b + 6 = -b - p, -5*p + 18 = b. Calculate the lowest common multiple of 1 and b.
3
Let c = -5/14004 + 8509/952272. Let p = c - 1253/408. What is the common denominator of p and 109/6?
48
Suppose 59 = -f - 5*g - 119, -5*g = -2*f - 296. Find the common denominator of (f/20 - 0) + 0 and 2 + (5 - 5) + (-322)/36.
90
Suppose 0 = -i + 6*i. What is the common denominator of 19/2 and (-39)/6 + i/(-4)?
2
Let i = 280781/30 + -9357. Find the common denominator of i and -59/18.
90
Let f = -13 - -13. Suppose 8*q - 10*q + 16 = f. Calculate the lowest common multiple of q and 18.
72
Let t be (-93099)/(-24)*(-2)/(-2). Let n = 3868 - t. Calculate the common denominator of -11/16 and n.
16
What is the common denominator of 117/20 and (15/(-20))/((-30)/65)?
40
Let y(z) be the second derivative of -13/6*z**3 + 0 - z - 11/2*z**2 - 1/12*z**4. What is the lowest common multiple of 11 and y(-12)?
11
Let n = -513/14 + 36. Find the common denominator of n and (1 + 1/(-2))/((-36)/(-585)).
56
Let l be ((-153)/66)/(2/3922). Let o = l - -4547. Calculate the common denominator of 91/10 and o.
110
Let s be (-478)/((-3)/(-15)*1). Let n = 11999/5 + s. What is the common denominator of 91/8 and n?
40
Suppose r = -4*v + 22, 0 = -3*r - 2*v + 1 + 15. Let t(w) = 17*w**2 - 1. What is the least common multiple of r and t(1)?
16
Suppose -5*h = -0*z - 2*z - 112, 5*z - 83 = -4*h. What is the smallest common multiple of 14 and h?
154
Suppose -4*k = 3 - 7. Calculate the smallest common multiple of 6 and k.
6
Calculate the common denominator of 3/12*(-101)/3 and 19/2.
12
Let t = 1 - -1. Calculate the smallest common multiple of 8 and 2 - (3 - 34/t).
16
Let v(n) = -n**2 - 8*n - 5. Let l be v(-5). What is the least common multiple of 7 and 8/6*15/l?
14
What is the least common multiple of 12*(3/(-2) + 2) and 2?
6
Let s = -3 + 6. Suppose 0*u = 2*u - w, s*w - 6 = 0. What is the lowest common multiple of 12 and 6 + -3 + 17*u?
60
Let j = -31 + 51. Calculate the lowest common multiple of 16 and j.
80
Let l = -403125/26 + 15502. What is the common denominator of l and 29/4?
52
Let u = -1019 + 5124/5. Let f = -1344 + 6688/5. Find the common denominator of u and f.
5
Suppose 11*z = 8*z - 96. Find the common denominator of ((-4)/6)/(z/(-744)) and -91/6.
6
Suppose -37 = -2*r + w, w - 3 + 4 = 0. What is the least common multiple of r and 27?
54
Calculate the common denominator of 11/14 and (-1)/(-2)*(-4 - (-228)/52).
182
Find the common denominator of (-363)/2*(-2)/(-18) and (54/48)/((-11)/(-12)).
66
Let a(l) = -l**2 - 5*l - 3. Let o be a(-2). Suppose o*n - 9 = 0, z + 8*n = 3*n + 16. Calculate the lowest common multiple of 6 and z.
6
Calculate the smallest common multiple of 7/(-2)*7/((-245)/30) and 9.
9
Find the common denominator of -57/4 and (-62)/(-24) + 1/2.
12
What is the smallest common multiple of 2/(-9)*3*(-6 + 0) and 4?
4
Let j = 9081433664719/8910 - 1019240581. Let r = j - -20/891. What is the common denominator of r and 29/(-6)*2*-1?
30
Suppose 7 = 2*y - 35. Let l(m) = -m**3 - 2*m**2 + 2*m + 3. Let p be l(-3). What is the lowest common multiple of p/(-21) + 468/y and 2?
22
Let o(n) = -n**3 - 4*n**2 + 2*n. Let k be o(-5). Suppose 0 = -4*y + 57 + k. What is the lowest common multiple of y and 16?
144
Let f = 2/13459 + -1763153/161508. Find the common denominator of f and 157/30.
60
Let p = 34 + -14. Calculate the smallest common multiple of p and 18.
180
Suppose 3*v - 5*v = -3*s + 11, 4*s = 20. Suppose h - 3*h = -82. Suppose 5*w + 3 = 2*t - 5, -2*w = -5*t + h. Calculate the lowest common multiple of v and t.
18
Suppose -72 = -6*t + 2*t. Suppose 0 = -3*m + 7*m - 80. Calculate the smallest common multiple of t and m.
180
What is the common denominator of 1 + ((-357)/54 - 1) and -91/66?
198
Let d be ((-14)/21)/(4/42). Let r = d - -9. Suppose 2 = -f + 4*i, 43 = r*f - f + 5*i. What is the smallest common multiple of f and 10?
90
Suppose 6*t - 50 = t. What is the smallest common multiple of 8 and t?
40
Suppose -2*b = -7*b - x + 4, 0 = -3*b - 2*x + 8. Suppose b*r = 4*r - 12. Find the common denominator of (118/(-4) - r) + 2 and -55/8.
8
Suppose 0 = 5*z - 5*s - 105, -3*z - 3*s + 70 = s. Let x = -11 + z. Suppose -6*b + 2*b = -12. Calculate the smallest common multiple of b and x.
33
Let q = 40 + 40. Suppose -4*z + q = z. What is the smallest common multiple of z and 8?
16
Let i(b) = b**2 - 2*b - 3. Let l be i(5). What is the common denominator of (-184)/110 + 4/10 and (-30)/((-52)/l + 3)?
22
What is the common denominator of 75/2 and (21/(-30))/((-1 - 1)/36)?
10
Suppose 0 = -3*d + 4*t + 64, -52 = -2*d + 5*t - 0*t. Let o = d - 10. Suppose 0*r + 6 = 3*r. Calculate the smallest common multiple of o and r.
6
Let o = 77915/22113 - -1/3159. What is the common denominator of 11/27 and o?
189
What is the least common multiple of (-32)/6*18/(-12) and 2/(1/2*4)?
8
Calculate the lowest common multiple of (40 + 2)/(2 + 0) and 12.
84
Let t = -12791/6 - -2124. Calculate the common denominator of 33/13 and t.
78
Let n(a) = -a**3 - 4*a**2 + a + 3. Let y be n(-6). What is the common denominator of y/(-24) - 1 - -2 and -37/11?
88
Suppose b + 2*b = -15. Let p be 8/5 + (-2)/b. Suppose 0*r + p*r - 20 = 0. Calculate the smallest common multiple of 6 and r.
30
Let f = 3304/17 + -90347/459. What is the common denominator of f and ((-4)/(-3))/2 + 107/24?
216
Let y(n) = -3*n**3 + 12*n**2 + 17*n + 3. Let h(d) = -d**3 + 6*d**2 + 8*d + 2. Let q(s) = -5*h(s) + 2*y(s). What is the smallest common multiple of q(-5) and 10?
10
Let c(b) = -b**2 + 11*b - 13. Let s be c(9). Let m = s - -12. Let q = 25 - m. Calculate the least common multiple of q and 9.
72
Let n = 33 - 21. Let z(r) = r**3 - 10*r**2 + 9*r + 22. Calculate the lowest common multiple of z(9) and n.
132
Suppose 18 = 3*w - w. Calculate the smallest common multiple of w and 15.
45
Suppose 2 = -h - w, -2*h + 4*w + 0*w + 20 = 0. Calculate the least common multiple of 16 and h.
16
Suppose 0*l + 6 = 3*l. Let w(c) = c**2 + 9*c - 2. Let t be w(-10). Let i = t - 1. Calculate the smallest common multiple of l and i.
14
Calculate the common denominator of -131/12 and (-8)/(-10) - (-2)/60*-146.
60
Let s = 8 - 6. Calculate t