**3 + 22*w**2 - 23*w - 3. Let f be n(22). Let z = f + 1511/3. Let b = 10/297 + 10642/1485. Calculate the common denominator of z and b.
15
Let c = -312 - -543. What is the smallest common multiple of 66 and c?
462
Let u = -47560/11 - -4328. What is the common denominator of -71/9 and u?
99
Let c = 5063453/38896 - -9/3536. Let z = -101804215/800877 + 115/20802. Let a = z + c. Calculate the common denominator of a and 47/8.
56
Let w(x) = 2*x**3 - 2*x**2 - 4*x - 2. Let o be w(-2). Let n be 483/o*(-464)/(-28). Let p = -435 - n. What is the common denominator of 38 and p?
3
Let a = -3967/12104 + 3/712. What is the common denominator of a and 59/154?
2618
Let r = -15669 + 517130/33. What is the common denominator of r and -56/39?
429
Suppose -3*j = -4*n - 86, -3*j + 47 = 3*n - 4. Suppose -2 = 5*o - 42. Suppose 2*q + 4 = o. Calculate the lowest common multiple of q and j.
22
Let z = -658627/30 + 21958. Calculate the common denominator of z and 97/54.
270
Let m(u) be the first derivative of -u**3/3 + 7*u**2/2 + 26*u - 8. What is the lowest common multiple of m(8) and 244?
2196
Suppose -11*z + 4 = -10*z. Let h be 220/(-40) - 2/z. Find the common denominator of (h/30)/(2/(-78)) and 36.
5
Let q(g) = -g**3 + 2*g**2 + 3*g + 2. Let o be q(3). Suppose w + o*j - 136 = 0, -3*w + 2*j = -225 - 175. Find the common denominator of -49/18 and 45/(-18)*w/30.
18
What is the common denominator of (2/15)/(4584/(-460) - -10) and -50/33?
66
Suppose 0 = -u + 3*t + 6, 0 = -4*u - 7*t + 4*t + 39. Suppose -4 = -5*m + 16. Suppose -m*r = -r - 21. What is the lowest common multiple of u and r?
63
Let w = 1 + 7. Let y(k) be the first derivative of -25*k**2/2 - 3*k + 9. Calculate the lowest common multiple of y(-1) and w.
88
Let w(y) = -y**3 - 18*y**2 - 32*y + 15. Let o = -34 - -18. Calculate the smallest common multiple of w(o) and 18.
90
Let n(k) = -k**3 + 3*k**2 + 10*k - 18. What is the smallest common multiple of n(4) and 24?
24
Let y(m) = -1. Let c(f) = -2*f - 3. Let u(k) = -2*c(k) + 6*y(k). Let p be u(1). Find the common denominator of -46/3 and p/3 - (-2074)/357.
21
Let w = 1289053/4 - 8939557/28. Let f = 3307 - 312. Let z = f - w. What is the common denominator of z and -71/8?
56
Let y(q) = -q - 16. Let d be y(-12). Let i = d + 6. Suppose -3*g - 39 = 3*u, i*u - 7 = -g + 5*u. Calculate the common denominator of -87/4 and g.
4
Calculate the common denominator of 89/376 and 2679/(-76) - (-3)/4.
376
Let o be -3 - 6 - (0 - -2). Let l(a) = -2*a**3 + 2*a**2 + 5*a + 2. Let t be l(3). Let u = o - t. Calculate the smallest common multiple of u and 8.
8
Suppose 3025 = 5*j + 4*f - 113, 3*j - 1888 = -5*f. Calculate the least common multiple of j and 20.
6260
Suppose -v = 5*s - 29, 2*v - 14 = v - 2*s. What is the common denominator of -67/4 and v/12 - (-1041)/(-450)?
100
Suppose 12*p + 160 = 7*p. Let g(z) = 12*z**2 - 4*z + 4. Let q be g(-6). Find the common denominator of 2 + q/p + 0 and -69/8.
8
What is the common denominator of (1/(-10))/(176/(-11000)) and ((-760)/64)/(2*-1)?
16
Let o(q) = -q**3 + 7*q**2 - 7*q + 8. Suppose 0 = 2*w + a + 2*a - 15, w - a = 5. What is the least common multiple of o(w) and 10?
10
Let x(d) = -d**3 + 7*d**2 - 6*d + 6. Let r be x(6). Let m be -4 + 3 + (-3 - -9). Let q = r - m. What is the lowest common multiple of q and 9?
9
Calculate the lowest common multiple of 14*(-5)/10*88/(-7) and 28.
616
Let b = 25504459346/1533 + -16636959. Let w = 2/73 + b. What is the common denominator of w and 55/18?
126
Suppose 0*z + 72 = -2*z - 5*w, -3*z - 62 = -4*w. What is the common denominator of z and 4/40*(72 + 0)?
5
Let j be 0*(32/12 - 3). Suppose -3*u = -j*u + n - 4, 0 = 5*u + 4*n - 9. Calculate the lowest common multiple of 8 and u.
8
Suppose -2*h = -5*j - 41, 5*j = 6*j + 1. What is the lowest common multiple of 3 and h?
18
Suppose 0 = 4*h, -4*h - 18 = -3*y + h. Calculate the least common multiple of y and 8/16 + 1*126/4.
96
Let v = -17 + -10. Let p = 43 + -10. Let f = v + p. Calculate the smallest common multiple of 4 and f.
12
Let u = -3831 - -30687/8. What is the common denominator of -89/2 and u?
8
Let n be 123/(-39) - 2/(-13). What is the lowest common multiple of n*1*9/(-27) and 7?
7
Let v(s) = -s**2 + 13*s + 214. What is the least common multiple of 1494 and v(22)?
11952
Suppose 0 = 6*i + 7*i + 468. Find the common denominator of 9/81*i/(-21) and -28/9.
63
Suppose 6 + 36 = 6*x. Let v = 17 - 7. What is the least common multiple of v and x?
70
Let s = -376 + 594. What is the lowest common multiple of s and 6?
654
Let w = 183 + -51. Calculate the common denominator of (-292)/w - (-1)/6 and -3*(-1)/18 + (-128)/(-33).
22
Let o(g) = g**2 - 3*g - 3. Suppose 71 = 5*n + 3*y, n + 47 = 3*n - 5*y. What is the least common multiple of o(5) and ((-27)/(-36))/(3/n)?
28
Let j be (3 - 4)/(1/(-5)). Let m be (8 - 0/2)*j. Calculate the common denominator of 3/16 and (-125)/(-18)*(-60)/m.
48
Let c be (920/(-100))/((-24)/(-14890)). Let s = 5693 + c. What is the common denominator of 44 and s?
6
Let t = 716 + -7153/10. Calculate the common denominator of t and 119/48.
240
Suppose 12*h = 3*h + 198. Calculate the lowest common multiple of 3 and h.
66
Let h be 57/(-112)*174916/(-8). Let s = -11129 + h. Calculate the common denominator of s and 103/44.
352
Let p(g) = -g. Let q be p(-2). Find the common denominator of (-126)/8*(-7)/294*-7 and q + (-3)/((-54)/159).
24
Let n be 6*(-3 + 14/6). Let c be (-1)/(-2)*(n + 10). Suppose 5 = w + s, 0*w + s + c = w. Calculate the smallest common multiple of 10 and w.
20
Let h(y) = -37*y - 112. What is the least common multiple of 11 and h(-6)?
110
Suppose -78 = -0*w - 6*w. Let g = -11 - w. What is the common denominator of ((-12)/g)/(11/67) and -79/6?
66
Let w be -4 + 1*-837*3. Let i = 77261 - 747427/10. Let u = i + w. Calculate the common denominator of u and -61/12.
60
Let c = 42663426/25 - 76667599072/44925. Let j = -95/3 - c. Let y = 4171/13178 - j. Calculate the common denominator of y and -69/16.
176
Calculate the common denominator of (310/(-135))/((-10)/3 + 4) and -2 + 5/((-80)/138).
72
Suppose 6 = 2*l + l, 16 = 5*w - 2*l. Calculate the lowest common multiple of (-88)/(-7) + 20/35*-1 and w.
12
Let f = 271 + 605. Suppose -4*g - 80 = -9*g. Calculate the common denominator of -14/5 and f/g*8/12.
10
Suppose a = -7*a. Find the common denominator of 41/5 and 13/(33/6 + a).
55
Let l be (-2 - -1)*(-1)/524. Let z = l - 19919/3668. What is the common denominator of ((-6042)/(-285))/(54/(-15)) and z?
63
Let b(a) = -a**3 + 4*a**2 + 5*a - 2. What is the smallest common multiple of (148/4 + 3)*18/45 and b(4)?
144
Calculate the smallest common multiple of (-3)/((-7)/(-84)*-2) and 12.
36
Suppose 0*p = -2*p + 6. Suppose 70 = 4*g + p*g. Calculate the least common multiple of 6 and g.
30
Suppose k - 394 = -2*n - 2*k, 0 = 5*n + 4*k - 992. Calculate the lowest common multiple of n and 250.
1000
Let f(p) = 3*p**2 + 6*p - 1. Suppose -21 = 3*v + 3*o, -2*o = 3*v + v + 24. Let m be f(v). What is the common denominator of -73/2 and (-1122)/m - 2/(-3)?
6
Suppose -7 = -4*x + 29. What is the lowest common multiple of 2*x/(-1)*-1 and 27?
54
Let l be (0 - 8/(-10))*-5. Find the common denominator of (-75 - l)*(-1)/4 and (-1)/2 + (136/(-12) - 3).
12
Calculate the common denominator of -17/42 and (12/75)/((-18)/215).
630
Let b(l) = -5*l - 3*l**2 - 4 - 8*l**3 + 6*l**3 - l**2. Calculate the least common multiple of b(-2) and 2.
6
Let i = -13 + 15. Suppose i*t + h - 2 = -h, -t + 11 = -4*h. Suppose 0*u = -t*u + 9. What is the least common multiple of 1 and u?
3
Let r = 353 - 1116. Let w = r + 12213/16. Let h = 4558 - 54607/12. Calculate the common denominator of h and w.
48
Let k = 122 - 113. Calculate the smallest common multiple of 2 and k.
18
Suppose 20 = j + n, 0 = 4*j - n - n - 56. Suppose 3*m - m = j. Calculate the least common multiple of 25 and m.
200
Let o = -72174295/88 + 820145. Let s = 161/8 + o. What is the common denominator of s and 41/22?
22
Let b = 50 + -45. Suppose 5*c - x - x = 44, -c + 3*x = -14. Calculate the lowest common multiple of b and c.
40
Suppose 5*w + 6 = -14. Let t = -1 + w. Calculate the least common multiple of (-2 - t) + 20/4 and 4.
8
Let u = 170 + -110. Let q be 12/u - (-11)/(-5). What is the common denominator of -123/10 and q/3 - (-118)/12?