 q(h) = 10*h + 10. Let f be q(-6). Let k = -34 - f. Calculate the lowest common multiple of k and 14.
112
Suppose 4*w = -4*u - 40, -u = 4*u - 5*w + 10. Let j = u + 9. Find the common denominator of 119/18 and j/6 + 49/(-12).
36
Let x = -86/13 - 376/65. Calculate the common denominator of x and -57/10.
10
Let i = 57996 + -26852134/463. Let a = i - -40141/4630. Calculate the common denominator of a and (-15)/4*(-17)/(-12).
80
Let q(o) = -o**3 - o**2 + 3*o - 4. Let c be q(-4). Suppose 4*b - c = 4*j, 24 = 5*b + j - 2*j. Calculate the smallest common multiple of b and 4.
4
Let j(d) = 8*d**3 + 3*d**2 + 3*d - 6*d - d**2 + d + 1. Let n = 1 + 0. Calculate the lowest common multiple of j(1) and n.
9
Let h = -7 + 21. What is the smallest common multiple of 6 and h?
42
Let w = -2519/168 - -93/7. Find the common denominator of w and 61/2.
24
Calculate the common denominator of ((-33)/(-4))/(((-27)/(-2))/9) and -54/7.
14
Suppose 1 = -2*j - 1. Let o be ((-6)/(-3))/(j - -3). Find the common denominator of 3 + o/11*-5 and 19/9.
99
What is the common denominator of ((-66)/210)/((-4)/(-10)) and 37/24?
168
Find the common denominator of 2/13 + 0 + 946/(-234) and 43/11.
99
Suppose j + 4 = -0. What is the lowest common multiple of j/34 + 252/119 and 11?
22
Let m(d) = d + 1. Let h be m(2). Suppose h*b - 54 = -6. Suppose 4*g = -s, s - 80 = -3*s + 4*g. What is the least common multiple of b and s?
16
Let d(i) = -20*i**3 - 94 + 94. What is the smallest common multiple of 12 and d(-1)?
60
Suppose -2*i + 34 = 4*a, -5*i + 1 = 3*a - 7*a. What is the smallest common multiple of a and 18?
18
What is the common denominator of -7/20 and 4 + 2/(28/(-121))?
140
Let c(i) = 4*i**3 - 4*i**2 + 2*i. Calculate the smallest common multiple of c(2) and ((-18)/15)/(9/(-15)).
20
Let u = -23501/12 + 1952. Let p = -1899 - -7641/4. What is the common denominator of u and p?
12
Suppose -2*z + 0*z + 40 = 0. Calculate the lowest common multiple of 36 and z.
180
What is the common denominator of 1 + (-60)/56 + 3/3 and -49/30?
210
Let h(y) = 26*y**2 - 6*y + 9. Let t be h(8). Let o = t - 22691/14. What is the common denominator of -13/10 and o?
70
Let w = -130/43 + 4175/172. Suppose -7 = -2*b - 35. What is the common denominator of 10/b + (-2 - -4) and w?
28
Let w(s) = s**3 - 9*s**2 + 10*s - 7. Calculate the smallest common multiple of 7 and w(8).
63
Let m = 4873 + -107167/22. Find the common denominator of m and 23/6.
66
Suppose -12*v = -13*v - 8. Suppose 3*q - 99 = -5*z, -z + 12 = 3*q - 5*q. Calculate the least common multiple of (10/v)/((-2)/16) and z.
90
Let r = 52587/55 - 4912/5. Let k = r + 221/44. What is the common denominator of -87/16 and k?
16
Let p = -275/2 - -2229/16. What is the common denominator of p and 19/6?
48
Let w = -57/8 + 7. Let k = w + 373/72. Calculate the common denominator of 21/8 and k.
72
Find the common denominator of 7/14 + (-44)/(-36) and 15/(-4)*(-27)/(-30).
72
Let v = -2/71 - 489/284. Let n = -10714 + 64133/6. What is the common denominator of n and v?
12
Suppose 0*i - 40 = -4*i. Calculate the smallest common multiple of 2 and i - (0 + (1 - 1)).
10
Let b = -1098523/67 - -16395. Let v = 3519/737 + b. Let r = 3180 + -19021/6. What is the common denominator of v and r?
66
Calculate the common denominator of -38 and (-51)/18 + 2 + -1.
6
Let i(l) = l**3 - 11*l**2 - 11*l + 2. Let d be i(12). Find the common denominator of 91/22 and (-261)/336 + (-4)/d.
176
Suppose d - 4*d = -15, -4*p = -d - 31. Calculate the smallest common multiple of p and (18/15)/(3/20).
72
Let b = -61 + 82. Calculate the least common multiple of 18 and b.
126
Suppose -2*r = -r. What is the common denominator of r/(-6) + 73/(-9) and 12/7?
63
Suppose 0 = c - 6*c - 15. Calculate the common denominator of ((-81)/(-60))/(2/12) and 25/(-54)*c*-15.
30
Let b = -2 - -4. Suppose -37 = -4*f + q, -q + 3 = -b*f + 3*f. Calculate the smallest common multiple of 1*2/2 - -7 and f.
8
Let b(k) = -k**2 - 572*k + 572*k + k**3 + 10. Calculate the lowest common multiple of (-2)/(-6) + 35/3 and b(0).
60
Suppose s + 1 = 0, 2*d + 12 = 3*d - 4*s. Suppose 5*v - 18 = 4*v. What is the smallest common multiple of d and v?
72
Suppose 82*q - 85*q = -276. What is the smallest common multiple of 12 and q?
276
Suppose 0*v - 4*v = 24. Calculate the smallest common multiple of 20*(3/v + 1) and 20.
20
Calculate the least common multiple of 7 and (-4 - 155/(-10)) + (-1)/2.
77
Let q = -1745/3 + 570. Calculate the common denominator of q and -71/4.
12
Let k be ((-18)/(-12))/((-6)/(-8)). Suppose -k*i = 3*b + 5, 4*b + 1 + 5 = -3*i. Calculate the smallest common multiple of 14 and 22 + (b - -2) + -1.
140
Let i = -18733/42 + 1325/3. What is the common denominator of 77/4 and i?
28
Suppose -3*w - 23 + 104 = 0. Calculate the smallest common multiple of w and 33.
297
Let a = 1/98 + -241/294. Find the common denominator of 13/27 and a.
189
Suppose -2*c + 48 = 3*z, 66 = 4*z + c + c. Calculate the smallest common multiple of 15 and z.
90
Let r be (-2)/(-33)*91755/(-770). Let p = r - 25/121. Find the common denominator of -89/4 and p.
28
Let u(x) = -2*x - 11. What is the lowest common multiple of u(-10) and 33?
99
Let a(x) = x**3 + x**2 + x + 11. Suppose b - 3 = -2*b. Calculate the least common multiple of b and a(0).
11
Let q = 5 + 0. Suppose 3*b + 2*b + 61 = -3*a, b = -a - 19. Let r = -8 - a. What is the smallest common multiple of q and r?
45
Let c = -122575/14 - -8762. What is the common denominator of c and -13/10?
70
Suppose -5*z + 2*a + 101 = 38, -3*z + 49 = -4*a. Calculate the lowest common multiple of z and 9.
99
Suppose -2*f = -22 + 26. What is the common denominator of 357/(-15)*1/f and 57/22?
110
Let l(i) = 2*i**2 - 3*i + 2. Let r = 9 - -11. What is the smallest common multiple of r and l(2)?
20
Let y(w) = 5 + 6*w + 4*w - 4. Let b be y(-1). What is the common denominator of 75/4 and (-189)/88*12/b?
44
Let j be 266/672*(-244)/(-2). Let i = -146/3 + j. What is the common denominator of i and 29/14?
56
Let l(g) = g + 15. Suppose -5*o = -28 - 22. Calculate the smallest common multiple of o and l(-7).
40
Let t(q) = q**3 - 4*q**2 + 2*q - 6. Let x be t(4). Let c be 2 - (-2 - -3)*x. Suppose b - 4*b + 54 = c. Calculate the least common multiple of b and 18.
18
Let r = -65374093633/2115 - -30909736. Let y be 12/(-8)*(-1 + 2824/2820). Let f = r + y. Calculate the common denominator of f and 65/8.
72
Suppose -4*n + 8 = -2*n. Calculate the least common multiple of n and 8.
8
Let c = -27 + 53. Find the common denominator of (-2)/(-6)*1035/(-60) and c.
4
Suppose -f + 5*u = 2*f + 835, 2*f - 2*u = -562. Find the common denominator of f/12 + 1 - -1 and -81/4.
4
Suppose 6 = p + 2*p - z, 0 = 4*p + z - 8. Calculate the smallest common multiple of p and 8.
8
Let z = -2 + 3. Calculate the common denominator of 119/20 and (-1)/(-14)*-43 + z.
140
Let z be (66/(-8))/(1/(-4)). Suppose 3*s = -3*q + z, -2*q = -6*s + s + 27. Calculate the lowest common multiple of 6/4*(-38)/(-19) and s.
21
Suppose 3*u - 1 - 29 = 0. Suppose -2*s - u = 10. Let k = s + 15. What is the smallest common multiple of 8 and k?
40
Suppose 16*k = 18*k - 22. What is the least common multiple of k and 4?
44
Let x(f) = -2*f - 2 + 0 + f**2 - 4. Calculate the least common multiple of x(5) and (-4)/18 - 22/(-18).
9
Find the common denominator of ((369/(-60))/3)/(4/6) and -19/40.
40
Suppose -3*o + 29 = 4*x, -3*x + 2*o = -3 - 23. Let s = x - 6. Calculate the smallest common multiple of s and -1*2 + 3 + 2.
6
Suppose 4*j = -5*t + 10, -11 = -5*t + 3*j - 1. Let i(u) = -8*u + 8. Let q be i(-6). Calculate the smallest common multiple of 10 and ((-1)/(-2))/(t/q).
70
Suppose 2*l + 5 = l. Let s(t) = t**2 + 13*t + 10. Let o be s(-5). Find the common denominator of 23/l*25/o and -49/8.
24
Let j = 114/103 + -13191/1030. Calculate the common denominator of -27/4 and j.
20
Let t = 18058 - 342823/19. Let v = -1099/190 + t. Find the common denominator of (-1)/(-2)*47/10 and v.
20
Let n = 5/198 - -1027/495. Find the common denominator of n and -7/12.
60
Suppose 5*d - 230 - 70 = 0. Suppose 4*m = 2*h - 7*h + 100, 3*h + 3*m = d. Calculate the least common multiple of 22 and h.
220
What is the least common multiple of 6 and 364/18 + 30/(-135)?
60
Let g be ((-10)/(-25))/(4/(-3005)). Let u = 3119/10 + g. Calculate the com