9/12 and (n/30)/(8/202).
60
Suppose -b - 2*b - 2*n - 904 = 0, -4*b - 1192 = -4*n. Let f be b/4*22/21. Let a = f - -6509/84. Find the common denominator of a and 93/2.
12
Let h = 9 - -11. Suppose -z = -5*r - 0 - 27, -h = -5*z + 2*r. What is the smallest common multiple of 16 and z/(-7) - (-258)/21?
48
Suppose 0 = 4*v + 3*m - 77, -5*v + 5*m + 65 = -40. Calculate the smallest common multiple of v and 6.
60
Let s = -679/6 - -260/3. Find the common denominator of 145/12 and s.
12
Let s = 554/9 + -5441/90. Let z = -4939/8 - -1221/2. Calculate the common denominator of z and s.
40
Calculate the lowest common multiple of 8 and -5*2/(-10) + 3.
8
Let q(c) = 32*c + 10. Let p be q(6). Find the common denominator of -107/22 and (p/64)/(1/2).
176
Suppose -3*i + 15 + 9 = -4*l, i = l + 8. What is the lowest common multiple of i and 16?
16
Let h = -342873/100 - -13725/4. Calculate the common denominator of h and 7/30.
150
Let m = 80 - 56. Suppose -4*z + 2*g + 46 = 0, -4*z + m = -g - 19. Calculate the smallest common multiple of 15/z*(-16)/(-3) and 6.
24
Suppose 12 = -4*w - 0*w. Find the common denominator of ((-92)/6)/(w + -5) and 149/6.
12
Suppose 0 = 5*r + 4*f - 92, 0 = -r - 2*f - 2*f + 12. What is the lowest common multiple of 18 and r?
180
What is the common denominator of 2 - (3 + (-146)/44) and -99/10?
110
Let q = -8561/6 - -1417. Calculate the common denominator of q and (0 + (-3)/(-12))*17.
12
Calculate the common denominator of (-267)/28*(-2)/3 and 67/12.
84
Let v = -678 + 4109/6. Find the common denominator of 109/10 and v.
30
Let m(a) = -a**3 - 4*a - 3. Let g be m(-3). Let n = 24 - g. Calculate the common denominator of -31/22 and (-9)/15*(-94)/n.
110
What is the least common multiple of 2 and 10/(5 - 0) + 30?
32
Suppose -2*n - 3*n = -85. Let x = 24 - n. Calculate the lowest common multiple of 5 and x.
35
Let q(a) = -55*a**3 + a**2 - 1. Let l be q(-1). Let n = -26285/3846 - -2/1923. Find the common denominator of n and (1/4)/(l/970).
66
Find the common denominator of (-236)/(-10) + 72/180 and 7/5.
5
Suppose 0 = -2*p - 5*v - 8, -3*p + 3*v - 2*v + 5 = 0. Let j(n) = -3*n - 4. Calculate the least common multiple of j(-5) and p.
11
Let c = -43 + 173/4. Calculate the common denominator of 97/40 and c.
40
Let l(a) = -7*a**3 + a. Suppose 8 = -4*r - 0*r, -4*m + 6 = 5*r. What is the least common multiple of l(-1) and m?
12
Suppose 5*t = 53 - 3. Calculate the least common multiple of 16 and t.
80
Let k be 1/2 - (-17)/(-34). Calculate the smallest common multiple of (1 - 0 - k)*20 and 2.
20
Let s = -15171 + 242645/16. Calculate the common denominator of s and 31/2.
16
Suppose -5*t + 4*t = -6. What is the lowest common multiple of t and 2?
6
Suppose -219 = 3*x + p, 3*x - 3*p = -0*p - 207. Calculate the common denominator of (25*5)/(6/(-1)) and 1438/x + 4/18.
12
Find the common denominator of (-2)/(-4) + (-65)/(-18) and -63/4.
36
Let h(w) = w**3 + 5*w**2 - 4*w + 7. Let n be h(-6). Let d = 3 - n. Calculate the least common multiple of (-2)/2*-5 - 1 and d.
8
Let u = 2247/2 + -1152. Let y = 6 + -5. What is the common denominator of u and (-21)/8 - (y - 0)?
8
Let d(r) = -202*r**2 + 1. Let y = 2 - 3. Let w be d(y). Calculate the common denominator of -36/11 and w/63 - 2/(-6).
77
Find the common denominator of 5/16 and (-375)/(-144) - (-3)/(-9).
48
Let l be 2*(1 + 95/(-2)). Find the common denominator of 2*l*1/(-8) and (2/3)/((-16)/(-174)).
4
Suppose 4*x - 11 = 3*x. Let d = -4 + x. Suppose 2*t = 2*c - t - d, 14 = -c + 5*t. Calculate the smallest common multiple of c and 2.
22
Let u = -191 + 1652/9. Calculate the common denominator of 85/4 and u.
36
Let y = -7 - -10. Suppose -y*u - 4*w - 1248 = 0, -u + 0*w - 397 = -5*w. Let s = -765/2 - u. What is the common denominator of s and -68/3?
6
Suppose 0 = -p - 3*p - 4. What is the common denominator of ((-259)/(-12))/7 + p and ((-21)/8)/((-2)/(-6))?
24
Let a = -39/19 - 143/171. What is the common denominator of a and 131/6?
18
Let s be (-6)/(-39) + (-74)/(-26). Let x(a) = -a**3 + 2*a**2 + 3*a + 2. Let h be x(s). What is the common denominator of 67/10 and (-230)/77 + h/(-7)?
110
Let d be 2/4 + 10918/(-4488). Let r = 3/187 + d. Calculate the common denominator of 43/8 and r.
24
What is the common denominator of (-9)/(-16)*20 - 1*-2 and -45/2?
4
Let g = 2617/10 - 256. Find the common denominator of -11/4 and g.
20
Let p = -74 - -806/11. Let k = 20001/2810 - 5/281. What is the common denominator of k and p?
110
Let u be 41 - (0 + -1 - 2). What is the common denominator of ((-28)/(-10))/((-4)/(-25)) and (-8)/u + 290/264?
12
Let k(z) = z**3 - 8*z**2 + 8*z - 7. Let m be k(7). Suppose 3*h - 54 = 3*o, 2*h = o - 2*h + 33. Calculate the common denominator of o and 86/6 - (m - 2).
3
Suppose -2*n + n + 18 = 0. What is the lowest common multiple of n and 9?
18
Calculate the common denominator of ((6 + -4)*1)/(8/158) and ((-113)/16)/(-1) + -2.
16
Let v(w) = -3*w - 4. Let d be v(4). Let n = -13 - d. What is the smallest common multiple of n and 7?
21
Let j = -21604011 + 1296330941/60. Let y = 7483/5 - j. Find the common denominator of -1/8 and y.
24
Let f be ((-30)/7)/((-1)/7). Let b = -10 + f. What is the lowest common multiple of b and 22?
220
Let l = -70/9 - -386/45. Find the common denominator of l and 101/2.
10
Let w = -5/723 - -47035/5784. Let m = -361/132 + -90/11. Find the common denominator of w and m.
24
Suppose -4*u = -u - 30. Let h = u - 5. Suppose 0*z + 2*z = -4*y - 16, h*y + 27 = z. Calculate the smallest common multiple of 8 and z.
8
Let u be (-106)/(-8) + 6/9. Let d = 223/60 - u. Calculate the common denominator of d and 39/11.
55
Suppose 4*w - 184 = 8. Suppose 0 = -d - 2*d + w. Calculate the smallest common multiple of d and 10.
80
Let v be ((-8)/6)/((-3)/36). Let z = v - 8. Calculate the least common multiple of 8 and z.
8
Let r = -784662/55573 - -6/3269. Let c = 1047/85 + r. Calculate the common denominator of c and -25/2.
10
Suppose f + f = -5*z - 373, 2*f = 4*z - 400. Let p = 3318 + -29833/9. Find the common denominator of (f/(-16))/((-9)/(-12)) and p.
18
Let p(k) = k**2 - 6*k + 20. Let j(q) be the second derivative of q**3/3 + 3*q**2 + q. Calculate the lowest common multiple of j(6) and p(6).
180
Suppose 8*x = 4*x + 48. Let u be 1/(6/64)*3. Let f = 46 - u. What is the lowest common multiple of f and x?
84
Suppose -23*j = -19*j - 80. What is the lowest common multiple of j and 16?
80
Find the common denominator of 53/11 and (1140/(-32))/5 + -3.
88
Let r = 97 + -94. What is the lowest common multiple of 54 and r?
54
Suppose 0 = -v + 4*v. Suppose v = 2*g - 3*g + 3. Suppose -5 = -z + 5*y, g*z + 0*z = 3*y + 27. Calculate the least common multiple of z and 14.
70
Calculate the common denominator of ((-168)/243)/((-8)/(-12)) and 17.
27
Calculate the smallest common multiple of 1 and 38/3 + (-3)/(-9).
13
Suppose 0 = -3*u + 2*n + 8, 0 = -4*u - 3*n + 2*n - 4. What is the lowest common multiple of -3 + 11 + u + 0 and 8?
8
Let u(r) = -11*r - 1. Let m = 24 + -10. Calculate the lowest common multiple of u(-1) and m.
70
What is the common denominator of (-845)/(-52)*(-14)/(-155) and -93/2?
62
Let j be (3 - -124)/((-1)/2). Let t = 9359/1500 - -4/375. What is the common denominator of t and 3 - (-4)/(96/j)?
12
Let z = 317/6 - 54. Calculate the common denominator of -44 and z.
6
Suppose 48 = 6*n - 84. What is the lowest common multiple of 16 and n?
176
Let c = -286 - -1795/6. Find the common denominator of c and -55/12.
12
Calculate the common denominator of -49/10 and (-12)/36*213/(-32).
160
Let b = 4887/10 - 485. Calculate the common denominator of b and -37/4.
20
Let n(f) = 4*f - 12. Suppose 0 = 3*g - 25 - 5. Let x be n(g). Suppose -4*m - 6*b = -3*b - 44, -3*m + x = b. Calculate the lowest common multiple of 16 and m.
16
Let b = -31797/8 - -3964. What is the common denominator of 151/36 and b?
72
Let a be ((-46)/6)/(3/(-9)). Find the common denominator of (-1)/(-2) - a/6 and (-4)/2*38/4.
3
Let d(u) = u**2 - 2*u + 2. Calculate the smallest common multiple of 23 and d(1).
23
Let c be (-18)/(-3) - (2 + 0). Let s(g) = -g**2 + 6*g - 6. Let j be s(4). Suppose c*t = j*y - 18, -4*y - 5*t = y. What is the lowest common multiple of y and 2?
6
Let i(k) = -1858*k - 3. Let d be i(3). Find the common denominator of 73/8 and d/130 - (-4)/10.
8