50*j**3 + j**2 - 4*j + 3. Let a be p(2). Let r = -65946/11 + a. Find the common denominator of r and (3/18)/((-2)/206).
66
Suppose o + 4*r + 46 = 10, -2*o - 44 = r. Let a = o + 31. What is the smallest common multiple of 7 and a?
77
Calculate the common denominator of (-2)/(-3) - (-2 - 187/30) and 69/112.
560
Suppose 57*v = 41*v + 192. Calculate the smallest common multiple of 2 and v.
12
Suppose -3*j - 18 = 5*x, 5*x - 13 = 2*j - 1. Calculate the common denominator of 197/(-24) - 17/136 and j/(-8)*20/18.
6
Suppose -4*p = -3*k + 43, -5*k + 3*p = -p - 61. Let b be 0/5 - (0 + -1). What is the least common multiple of k and 4 - (b + 2 + -4)?
45
What is the common denominator of (-680)/127500*(1 - 217/4) and -121/50?
250
Find the common denominator of 27/4 and ((-113)/8)/(-11 + (-275)/20).
396
Find the common denominator of 580/464 + 143/28 and -10/21.
42
Let k = -37715/18744 + 42/781. Calculate the common denominator of 63/200 and k.
600
Suppose 74 - 8 = 5*n + 3*q, -4*n + q + 46 = 0. What is the lowest common multiple of n and 1196?
3588
Let s be 2/25*13485/(-24). Let g = s - 31/20. What is the common denominator of (-153)/6*(-10)/6 and g?
2
Let x = -145229/22 - -6600. Find the common denominator of x and 7/1452.
1452
Let u = -146968182574 + 13220963767791487/89958. Let b = u + 2/4089. Find the common denominator of b and -11/9.
198
Let b(r) = r + 94. What is the least common multiple of b(0) and 4?
188
Let y = 0 - 1. Find the common denominator of ((-25)/(-40) + 4)/(y/(-4)) and -89/18.
18
Suppose 54 = 3*r - 0*r. Let l(m) = 3*m**3 + 8*m**2 + 8*m - 4*m**3 + 3 - r*m**2 + 2*m. Calculate the least common multiple of l(-11) and 6.
42
Suppose 0 = 3*o + 4*x + 256, -2*o + 0*o - 178 = -x. Calculate the common denominator of -101/28 and 6/(-36) + o/(-18).
252
Let f be 32*(132/(-68) - -2). Let q = 437/102 + f. Find the common denominator of q and 1653/(-270) - (-4)/18.
30
Suppose 5*h = 4*w - 65, 0 = -9*w + 7*w + 2*h + 34. What is the lowest common multiple of 8 and w?
40
Let u be (-1)/(-15)*3*85. Let o(h) = -h**3 + 19*h**2 - 34*h + 20. What is the lowest common multiple of o(u) and 25?
100
Let r = -647/6 + 178/3. What is the common denominator of 19/676 and r?
676
Calculate the smallest common multiple of 64/10 - 12/(-20)*1 and 4/(-10)*-10*2.
56
Let a(n) = -n**2 - 10*n + 20. What is the smallest common multiple of 24 and a(-10)?
120
Let x(f) = -f**2 - 7*f - 10. Let y be x(-4). Calculate the common denominator of 57/16 and (-1)/(9*y/(-273)).
48
Let j(x) = x**3 - x**2 - 3*x**2 - 3 - 4*x**3 + 2*x**3. What is the least common multiple of j(-5) and 22?
22
Let q be 1/4*(-2 + 0)*10. Calculate the common denominator of 200/153 + q/((-90)/4) and -43/11.
187
Let h be 5/(5/3) - 1. Suppose -4*z = c - 10, 2*c - c = 4*z + 34. Calculate the least common multiple of (h/2 - -23) + -2 and c.
22
Let q(j) = 2*j**2 - 22*j + 44. Calculate the smallest common multiple of q(9) and 114.
456
Let o = -45 + 47. Let p = -7 + 17. Let g = p - 1. Calculate the lowest common multiple of g and o.
18
Let s = -13313/104 + 1500/13. Let g = -12 - s. Let v = -1/2301 - -218599/9204. Find the common denominator of v and g.
8
Let v(r) = 16*r - 29. What is the lowest common multiple of 18 and v(5)?
306
Let q(l) = -2*l - 5. Let h be q(-5). Let t(b) = -b**2 + 4*b + 8. Calculate the least common multiple of 33 and t(h).
33
Let n be (6/10)/(4/20). Suppose 6 = 4*r - t, 2*r + n*r - 5*t = 0. Calculate the least common multiple of r and 98.
98
Suppose 3*h - 40 = -h. What is the smallest common multiple of h and (-200)/(-6) + -3 + (-33)/(-9)?
170
Suppose 0 = 5*b - 3*o - 23, 1 = -0*b - b + 2*o. Let p(n) = n**3 - 8*n**2 + 7*n + 3. Suppose -30*g = -8*g - 44. What is the least common multiple of p(b) and g?
6
Let t be (-2 - -19) + 15/(5/(-1)). What is the least common multiple of (-12 + t)*(21 - 0) and 21?
42
Let s(u) = -u**3 - 15*u**2 - 28*u + 32. What is the lowest common multiple of s(-13) and 2?
58
Let t = -30885 + 2038463/66. Find the common denominator of t and 127/42.
462
Suppose -5*b + 3*b = 2*j - 61832, -2*b + 92748 = 3*j. Let z = j + -556343/18. What is the common denominator of z and (-18)/(-126) - 606/224?
144
Suppose 5*w = l - 2*l, 5*w - l - 10 = 0. What is the lowest common multiple of 6 and w?
6
Let w = -396 - -684. Suppose -10*g = -4*g + w. Find the common denominator of 109/10 and -5 - -2 - 652/g.
60
Let w = 28 - 15. Calculate the smallest common multiple of 4 and (2 - w)/(2/(-4)).
44
Calculate the common denominator of (1/(-7))/((-100)/6230*1) and -53/22.
110
Let n = 35/98078 - 3011877827/1471170. Let w = n + 2048. Find the common denominator of w and -49/39.
195
Let u = 9 - 6. Let n(i) = 3*i - 7. Let a be n(u). What is the common denominator of (a/12)/((-164)/(-300)) and -67/20?
820
Let q(l) = 2*l - 8. Let y be q(6). Suppose -y*s - 16 = -5*s. What is the lowest common multiple of s and (-36)/(-10) + 6/15?
16
Let c = 171 + 104. Suppose 1577 = -m - c. Let q = m + 14791/8. What is the common denominator of 25/12 and q?
24
Let p = -24 - -36. Suppose -o = -2 + p. Let g = 12 + o. Calculate the lowest common multiple of g and 8.
8
Let k(m) = -2*m**3 - 10*m**2 + 5. Calculate the lowest common multiple of 25 and k(-5).
25
Let c = -2 - -3. Suppose 689 + 286 = 75*n. Calculate the lowest common multiple of n and c.
13
Suppose -11*v - 2800 = -3*v. What is the common denominator of -71/33 and (v/54 - -2) + 2?
297
Let d(o) = o**3 + 21*o**2 - 8*o + 17. Let c be d(-12). Let v = -19843/14 + c. Let u = -160339/139460 + -2/6973. Find the common denominator of u and v.
140
Let q be -2*6/10*-25. Let j = 238/27 + -88/27. What is the common denominator of j and (3/(-33))/(2/q)?
99
What is the common denominator of 2/10 + 1045/(-600) and 7*2/(-4) - -1 - 1?
24
What is the least common multiple of 3 and 11/77 + -2 + (-138)/(-14)?
24
Let l be (2/9)/(-1) + 280/126. Suppose -2 = l*w + 3*p, -3*p - 10 = -4. Calculate the lowest common multiple of w and 14.
14
Let f be 1/3*(-2 - 13909). Let b = f + 2433. Let g = b - -4505/2. What is the common denominator of -75/4 and g?
4
Suppose 35 = 2*v + 425. Let t = v - 7443. Let u = 76289/10 + t. Calculate the common denominator of u and 22/9.
90
Let m(f) = f**3 - 3*f**2 - 26*f - 7. Let g be (4/(-10))/((-2)/10). Suppose -2*a = g*l, -3*a - 2*a + 2 = 4*l. Calculate the lowest common multiple of a and m(7).
14
Suppose 4*a = 11*a - 56. What is the smallest common multiple of a and 180?
360
Let z(f) = f**2 + 9*f + 10. Let j be z(-8). Suppose -2*s = -0*s - 4*b - 26, -4*b + 58 = j*s. What is the common denominator of (-1)/(-3) - 100/s and 69/10?
70
What is the common denominator of 145/768 and (4/56)/(-1)*(62 + -25)?
5376
Let s(d) = -d**3 + 8*d**2 + 3*d - 11. Let b = -2 + 3. What is the smallest common multiple of s(8) and b?
13
Suppose 15*j - 1 = 6*j + 80. What is the lowest common multiple of 12*(-1 - (-10)/6) and j?
72
Let v = 157/174649 - -791725273/148277001. Let r = v + -2/283. Calculate the common denominator of 13 + ((-228)/72 - 12) and r.
6
Let i(g) = -g**3 + 17*g**2 + 16*g + 36. Let x be i(18). Find the common denominator of (x + 6/(-2))*450/(-81) and 53/21.
21
Let c = -1 - 0. Find the common denominator of ((-404)/144)/(c/3) and 268/16 - -5 - 4.
12
Let f be ((-18)/(-36))/((2/(-44))/(-1)). Suppose -3*g + o + 10 = 1, -g = -3*o - f. Calculate the lowest common multiple of 38 and g.
38
What is the common denominator of (106/126)/(4/(-6)) and ((-495)/60)/(189/210)?
42
Suppose -5*l - 2*h - 56 = 0, 0*l = 3*l + 3*h + 39. What is the smallest common multiple of 2 and 49/(-7)*l/7 + 0?
10
Suppose -3*y - 341 = 4*o, 2*y - 3*o = 7*y + 561. Find the common denominator of ((-7)/63)/(1/y) and -49/3.
3
Find the common denominator of 18/119 and (72803/17578 - (-4)/22)/(-6).
476
Find the common denominator of (3/((-9)/141))/18 and (1 - 18/20)*-86.
90
Suppose -34*f + 35*f - 18 = 0. Let o = 25 - 7. What is the least common multiple of o and f?
18
Calculate the smallest common multiple of 36/8*(-8)/(-18) and 10.
10
Let q(n) = n**3 - 26*n**2 + 51*n - 6. What is the lowest common multiple of q(24) and 30?
330
Suppose 3*l = 12, 18 = -s + 6*s + 2*l. Suppose -2*u - 4*f - 82 = -222, 133 = s*u - 3*f. What is the least common multiple of u and 16?
272
Let t = -26 + 29. Let o = 18742 + -487191/26. Calculate th