56
Suppose 2*o + 27 - 4 = 3*d, 0 = 5*d + 3*o - 32. Let j(t) = -t**3 - 3*t**2 - 3*t - 2. What is the least common multiple of j(-3) and d?
7
Calculate the common denominator of 346/(-48) + 12 + -11 and -139/12.
24
Let g = -73344/11 + 6663. Find the common denominator of g and -19/8.
88
Calculate the smallest common multiple of 18 and (-6)/8 - (-38)/8.
36
Let z = -68633/4962 - 4/2481. What is the common denominator of z and -23/8?
24
Let x be (-84)/8*(-43)/(-45). Let a = x - -566/105. Calculate the common denominator of -23/4 and a.
28
Let f = 74 + -65. What is the smallest common multiple of 50 and f?
450
Suppose 5*i + t = 17, -4*t + 2 = -3*i + i. Suppose 4*g = u + 22, -4*u - g - 12 = 2*g. What is the smallest common multiple of (1/3)/(u/(-108)) and i?
6
Let v be 2/8 - (-226)/(-8). Let f be ((-12)/(-32))/(6/v). Let d = 19/2 + f. Find the common denominator of 67/10 and d.
20
Let v = 16021/1404 + 2/351. What is the common denominator of v and (3 - -1) + -137*2/44?
132
Let q = -90/31 + 2747/124. What is the common denominator of ((-114)/4)/(48/(-10)) and q?
16
Let o be -1 - (-5 - (-3 - -5)). Suppose -2*u + o = -4*u. Calculate the common denominator of -69/20 and (-97 - 0)/(u + -1).
20
Let u be (-4)/10 - (-4)/10. Suppose d - 288 - 180 = u. Let o = 4687/10 - d. Find the common denominator of 21/4 and o.
20
What is the common denominator of ((-9)/180)/((-4)/202) and 95/4?
40
Let d be 2/11 + 1107/(-99). Let m = d - -14. Calculate the least common multiple of 7 and m.
21
Let q = 9/1595 + -5392/4785. Calculate the common denominator of 31/18 and q.
198
Let z be -1*(-4 + (-1 - -2)). Suppose z*s - s = 140. Suppose 5*o = -5*c - s + 190, -5*o + 5*c = -80. Calculate the smallest common multiple of o and 14.
140
Suppose -4 + 0 = -2*q. Suppose 0 = 2*r + 5*g - 29, -r - 1 = -2*r + q*g. Calculate the smallest common multiple of 7 and r.
7
Suppose 2701 - 73 = -w. Let o = w - -31393/12. Calculate the common denominator of 57/16 and o.
48
Let a = 48/127 + -3226/1143. What is the common denominator of a and 113/10?
90
Suppose 3*d + 2*b + 3 = 5*b, -4*d + 5 = -b. Let w be d/(-4)*12941/7. Let o = w - -932. What is the common denominator of 109/12 and o?
84
Suppose -5 = 4*k + 7. Let r = -140/9 + 871/45. Calculate the common denominator of -1 - k/(24/(-50)) and r.
20
Suppose -3*h + 320 = -5*g + h, h = 5*g + 320. Let y(c) = -c**2 + 7*c + 2. What is the lowest common multiple of y(6) and (g/(-5))/(-4)*-5?
16
Let s be 1147/(1*(-3)/12). Let g be (-222)/5*826/8. Let m = s - g. Calculate the common denominator of 12/11 and m.
110
Calculate the smallest common multiple of -1 - (-6)/(6/3) and 28.
28
Let c(o) = -5*o**3 + 2*o**2 + 3*o. Let f be c(-2). Suppose k = -k + f. Suppose -k = 2*g - 67. What is the common denominator of 69/8 and g?
8
Suppose 33 = -4*k + 97. What is the smallest common multiple of k and 16?
16
What is the least common multiple of (60/(-35))/(8/(-84)) and 32?
288
Suppose -m = 4*a - 10 - 16, 4*m + 5*a - 49 = 0. Let q be 1/((-2)/(-28)*-2). Let h = q + 11. What is the least common multiple of m and h?
12
Let l = -1/1778 + 28459/19558. Let c = -80033/10 + 7992. Calculate the common denominator of l and c.
110
Let x = -58 - -73. What is the smallest common multiple of x and 9?
45
Let r(f) = 2*f**2 - 2*f + 1. Let k be r(3). Let v = 5 - k. Let n = v + 12. What is the lowest common multiple of 18 and n?
36
Let k = -779 - -1521/2. Calculate the common denominator of 29/16 and k.
16
Suppose g = 3*g - 2. Calculate the smallest common multiple of g and 25.
25
Let a(u) = u**3 + 2*u**2 - u + 1. Let t be a(2). What is the common denominator of (79/6 - 0) + 1 and 4120/64*2/t?
12
Calculate the common denominator of -27/28 and -4 + 3 + 351/132 + -3.
308
Find the common denominator of ((-4)/40)/(5/(-505)) and 31/35.
70
Let g = 1396/3 - 945/2. What is the common denominator of g and 1/(84/(-46))*-3?
42
Suppose 0 = -5*z + 20. Suppose -s + 5*s = 4. Calculate the least common multiple of 76/8 + (-2)/z and s.
9
Let c = -6925/8 + 867. Find the common denominator of ((-17)/40)/(1 + (-4)/8) and c.
40
Suppose 22 = 7*m - 55. Calculate the least common multiple of 2 and m.
22
Suppose 5*n = 4 + 31. Calculate the lowest common multiple of -2 + -2 + 6 + -1 and n.
7
Calculate the common denominator of -1 + (-2)/(-7) + (-999)/(-105) and 91/8.
40
Let g = 22 - 36. Let o = g - -21. Suppose 4 + o = m. Calculate the smallest common multiple of m and 6.
66
Suppose 0 = 3*q - 4*y + 8, -2*q + 4*y - 5 = 3. Suppose s = -q*s + 4. Calculate the least common multiple of 10 and s.
20
What is the smallest common multiple of 10 and ((-28)/5)/(42/(-105))?
70
Let v(h) = -h**2 - 5*h. Suppose -48 = -t - 3*t. What is the least common multiple of t and v(-4)?
12
Let b(t) = -794*t**3 - 5*t**2 - 11*t + 8. Let w be b(7). Let i = -530951/2 - w. Let p = -78939/11 + i. What is the common denominator of 59/12 and p?
132
Let h be (-1 + 6)/(5/190). Find the common denominator of -49/9 and -7 + 7 + h/(-16).
72
Let o = -53 - -23. Find the common denominator of o and 13/10.
10
Calculate the common denominator of 2/(-48)*-177 + 0 and 25/11.
88
Let o be ((-17)/1)/((-20)/(-14)). Let d = -353/20 - o. Find the common denominator of -81/8 and d.
8
Let y = 30 - 18. Calculate the lowest common multiple of 6/27 - 70/(-9) and y.
24
Let s(l) = l**2 - 5*l - 10. Let g be s(7). Suppose 0 = -g*j + 5*j, -h + 20 = j. Let z = 9 + -7. What is the lowest common multiple of z and h?
20
What is the common denominator of 101/4 and 7/168*(-488)/(-6)?
36
Calculate the common denominator of 121/10 and 5 + (-2 - (-618)/72).
60
Let s(m) = -m**3 - 8*m**2 + 10*m + 13. Suppose 3*o + 35 = -4*v, -8*o = -3*o - 5*v + 35. Calculate the lowest common multiple of s(o) and 12.
12
Let i be (3/(-4))/(33/(-220)). Let f(t) be the third derivative of t**5/60 - t**4/6 + t**3/2 - t**2. Calculate the least common multiple of 22 and f(i).
88
Let b = -195017/36 - -5416. Calculate the common denominator of 99/28 and b.
252
Suppose -2*l - 9 = -5*l. Calculate the least common multiple of l and 9.
9
Let d be 1*(0 + 0 + 0). Suppose -4*b = -d*b - 124. Suppose 3*l - b = -0*w - w, w = -4*l + 42. What is the lowest common multiple of 2 and l?
22
Suppose -2*t + 9 = -81. Calculate the lowest common multiple of 9 and t.
45
Suppose -2*s - s + 3*t - 81 = 0, 0 = -5*s - 4*t - 108. Calculate the common denominator of 11/10 and (-35)/s - (5 + -5).
120
Let v = 3 + -47. Calculate the least common multiple of ((-36)/16 - -2)*v and 4.
44
Suppose 2*x + 21 = -7. Let v = -12 - x. What is the smallest common multiple of 6 and v?
6
Suppose -5*f = 5*i, i = 6*f - f + 6. What is the lowest common multiple of i and 3?
3
Let b = 2 - -6. Calculate the common denominator of ((-254)/b)/(15/10) and -83/2.
6
Let v = -5720689 - -91565823/16. Let k = v - 2170. Find the common denominator of (-1)/(88/354) - 9/(-36) and k.
176
Let g be 2/(2/15)*1. Suppose -r = w - g, -3*w - 37 + 7 = -2*r. Suppose r = -0*t + 5*t. Calculate the lowest common multiple of t and 6.
6
Suppose -2*y + 6*y - 132 = 0. Let u = y + -51. Calculate the common denominator of -91/12 and 3 + (89/u - 3).
36
Suppose -2*m - 36410 = -7*m. Let f = -65603/9 + m. What is the common denominator of 81/2 and f?
18
Let d(o) = o**2 + 5*o - 5. Let g be d(-6). Let s(b) = 105*b**2 + b - 1. Let f be s(g). What is the common denominator of (-18)/(-28)*f/(-20) and 6/5?
40
Let l = -6025/4 - -1497. Suppose 2*a + w = 6*w + 2810, -5*a + 2*w = -7067. What is the common denominator of l and (-2)/(-3) + a/330?
44
What is the least common multiple of 20 and 26 + ((-16)/(-4))/(-1)?
220
Suppose -2*w + o = 0, -7*w + 2*w - 5*o + 15 = 0. What is the lowest common multiple of 8 and w?
8
Calculate the common denominator of -47/10 and 228/(-9)*15/48.
60
Let d = 581118 - 4642539/8. Let t = d + -804. Find the common denominator of 89/2 and t.
8
Let m(x) = 2*x**2 + 2*x + 4. Calculate the smallest common multiple of m(0) and 12.
12
Let f be (-2 - -4)/((-1)/66). Let d(s) = s + 1. What is the smallest common multiple of d(7) and (4/(-3))/(8/f)?
88
Let i = 2 - 3. Let z = i - 0. Let v = 4 - z. What is the smallest common multiple of 1 and v?
5
Let o be 16*(0 + (3 - 2)). Find the common denominator of (-2)/(-4)*(-2)/o and -97/2.
16
What is the common denominator of 2/(-12) - (-1101)/180