s) = -s**3 + 8*s**2 + 11*s - 11. Let b be p(8). Let r be ((-2)/2 + 2)/(16/(-32)). Find the common denominator of b/(-2) - (r - 0) and 14/11.
22
Let w be 3 - (17537010/336 + -4). Let p = 52188 + w. What is the common denominator of p and 4/(-6) - (-318)/(-252)?
56
Let s(l) = -7*l**3 - 47*l**2 + 2*l + 56. Calculate the lowest common multiple of 20 and s(-8).
3080
What is the common denominator of (-3)/(1*12) - (-27)/546 and ((-836)/33 - -25)/(6/(-423) + 0)?
364
Let a be (-96)/2088*(-2 + 417/8). Let t = -4/29 - a. What is the common denominator of 220/48*(-11)/(-10) and t?
24
Suppose 0 = a - 10*a + 1512. What is the least common multiple of a and 210?
840
Let r = -11517/2 - -5743. Find the common denominator of -19/227 and r.
454
Suppose 0 = -23*t + 34*t - 2662. Let w = -217 + t. Calculate the smallest common multiple of w and 25.
25
Let a(o) = -3*o + 11. Let k be a(3). Suppose 28 = k*r - 5*d - 1, 2*d + 13 = r. What is the least common multiple of r and 1?
7
Let q = -24282233/276 + 87979. Find the common denominator of 103/138 and q.
276
Let y = -29 + 36. Let b(c) = 22*c + 2. What is the smallest common multiple of (3 + (-27)/y)/(2/(-28)) and b(1)?
24
Let b(h) = -235*h + 14391. Suppose -3*l + 12 = -0*l. What is the least common multiple of b(61) and l?
56
Suppose -1809880 = -3*q - 94963. Let m = 370422187/648 - q. Calculate the common denominator of -83/20 and m.
3240
Suppose 2*f - 8 = -0*f - 4*n, 3*n - 21 = -3*f. Suppose -f*c + 168 = 11*c. Calculate the least common multiple of 10 and c.
40
Let f be (10*24/30)/2. Suppose -34 = -5*u + v, 2*u + 8*v - 6*v = f. Calculate the least common multiple of 24 and u.
24
Suppose 4*d = -q + 831, -7*d + 0*d = 28. Calculate the least common multiple of 7 and q.
847
Let g = -3160 - -50577/16. Let v = -24071/16 + 1503. What is the common denominator of v and g?
16
Suppose 0 = -5*l - 2*l + 245. Suppose -2*x + 5*y - 53 = 0, 2*x + y = -0*y - l. What is the common denominator of 67/15 and ((-392)/(-84))/((-16)/x)?
120
Suppose 79*c - 11133 = -91*c + 33407. Let d = -23 + 30. What is the smallest common multiple of c and d?
1834
Let c(z) = -204*z + 30. Suppose -60 = 4*r - 4*k, -8 = 3*r + 4*k + 2. Let q be c(r). What is the common denominator of ((-12)/14 + 1)*q/(-60) and -2/9?
126
Let a = 637 + -646. Calculate the common denominator of (-153)/(-18)*(a/(-33))/3 and 12/(-10)*2/(-16).
220
Let o(p) = -18*p - 3. Let m = 40 - 45. Let z(d) = d**2 + 3*d + 14. Calculate the smallest common multiple of z(m) and o(-1).
120
Let s be 65/25 + 2/5 + -18. Find the common denominator of ((-53)/5)/(93/s + 9) and 37/80.
560
Let p(q) = q + 7. Let c be p(-9). Let x(k) = -k**3 + 2*k**2 - k. Suppose -52*v - 53*v + 4172 - 1022 = 0. What is the lowest common multiple of v and x(c)?
90
Let v be -65*(72/15 + -5). Suppose 21*c - 48 = v*c. Calculate the lowest common multiple of 8 and (-1 + 0)*(-4)/3*c.
8
Let q be 3/5 - (35/(-25) - -2). Suppose -11*i = -q*i - 44. Suppose 59 + 69 = i*u. Calculate the smallest common multiple of u and 12.
96
Let h = -1847/120 - -226/15. Let m = -59463/32816 - 1/2051. Find the common denominator of h and m.
80
Let k = 391842 - 474912475/1212. Calculate the common denominator of -103/6 and k.
1212
Let k = -660997/24 + 27537. Calculate the common denominator of -15/496 and k.
1488
Let w = 3/15526 + 1016881/372624. What is the common denominator of w and 90/(-24)*21*(-2)/(-171)?
912
Suppose 3*t - 1718 = -k, 0 = -72*t + 68*t + 4*k + 2328. Calculate the least common multiple of 15 and t.
1725
Let g(l) = -l**2 + l + 34. Suppose -2*a - 7 = -13, -2*q = 3*a - 1133. What is the least common multiple of q and g(6)?
1124
Suppose -52 = -11*o + 80 + 44. Calculate the smallest common multiple of 650 and o.
5200
Let w = 70618/9 + -7838. Let r(f) = 9*f + 9. Suppose -29 = 3*b + 5*u, 2 - 15 = 3*b + u. Find the common denominator of w and r(b).
9
Let t(b) = 2*b. Suppose 732*i + 3933 = 11694 + 28839. What is the lowest common multiple of i and t(6)?
300
Suppose -3*i - 1928 - 3904 = -30*i. Calculate the least common multiple of 36 and i.
216
Let v = -34 - -33. Let f be (121/(-5) - v) + 6/12. Let t = f + 1937/110. Find the common denominator of t and -57/10.
110
Let b(i) = -20*i**3 - 11*i**2 - 34*i + 37. Calculate the lowest common multiple of b(-5) and 640.
12160
Let p = 85625/55053 - -76/2039. What is the common denominator of p and (224/18 - 2)/(-12)?
54
Let y be (25 + -6)*(6 + -4). Let b = y - -16. Calculate the smallest common multiple of 6 and b.
54
Suppose w = -2*w + 729. Let v = w + -2471/10. Let b = 4992 + -159759/32. What is the common denominator of v and b?
160
What is the common denominator of -151/66 and (-383)/3762 - 4/220*10?
3762
Let i(o) = -140*o + 2321. What is the lowest common multiple of 284 and i(11)?
3124
Suppose 3*l - 6 = 5*w + l, 3*l - 9 = 0. Let o = 47/14 + -5/7. Find the common denominator of o and 194/(-28) - w/(-3).
14
Suppose -30 = l + 54. Find the common denominator of ((-5)/3)/(4/3) - 11005/(-1988) and (-6)/21 - 927/l.
28
Suppose 4*d - 31 = -7. Let x(v) = -22*v**3 + 5*v**2 + 2*v + 7. Let r be x(d). Let s = 182129/40 + r. What is the common denominator of -93/8 and s?
40
Let v(b) = -b**2 + 15*b + 20. Let p be v(16). Suppose -8 = -i - p*t, -3*i + t - 2 = 2*i. Find the common denominator of 39/10 and i - (-134)/10 - (3 + 1).
10
Suppose 13*n - 2700 = -1738. Calculate the smallest common multiple of 222 and n.
222
Let w(g) = -8*g + 39. Let b be w(2). Calculate the common denominator of 220/75 - (0 - -2) and (b - (1 - -1))*(-25)/90.
30
Suppose -1156*c + 1169*c - 8970 = 0. What is the smallest common multiple of c and 20?
1380
Let y be (-136)/(-20) + -7 + (-2188)/10. Let w = y + 283. Calculate the smallest common multiple of w and 32.
64
Suppose -20*y = 16*y - 38*y + 1526. What is the least common multiple of y and 3?
2289
Let n = -33363 - -37755. Calculate the smallest common multiple of n and 180.
21960
Let p = 337852199/1824 - 185226. What is the common denominator of 85/304 and p?
1824
Calculate the smallest common multiple of 86/18 - -2*4/36 and 1480.
1480
Suppose 1950 = 32*z - 1736 + 38. What is the least common multiple of z and 19?
114
Suppose 29*x - 76 + 42 = 53. Let c(f) = f + 3. Calculate the least common multiple of c(0) and x.
3
Suppose -5*t + 5*a + 46 = 3*a, 0 = 3*t - 4*a - 36. Let z(p) = 2*p**2 - 145*p + 2852. Calculate the lowest common multiple of t and z(38).
920
Let o = 36 - -28. Suppose 4*k = -3*j - 13, 0 = 4*k + 5*j + 12 - 1. Calculate the smallest common multiple of o and (-11 - -1)*2/k*2.
320
Let y(b) = -40*b - 268. What is the smallest common multiple of 176 and y(-7)?
528
Let f be (174/(-1305))/((-16)/(-213130)). Let h = -1778 - f. Calculate the common denominator of h and -7*(-1)/36*10.
36
Let i(y) = -2 + 10 - 3*y - 14 + 25. Let a be i(3). Calculate the common denominator of (-2 + 329/70)/((-12)/a) and 1/14.
28
Let k be (-1)/(-6) + 322/84. Let f = -4218 - -164480/39. What is the common denominator of 124/216 + k/8 and f?
351
Suppose -108*v + 4*g = -111*v + 404, -4*v - 4*g = -536. Calculate the least common multiple of 56 and v.
1848
Find the common denominator of -97/220 and (39159/(-1216) + 32)*1/(-5)*-14.
1760
Let x = -5255 - -5279. What is the lowest common multiple of x and 264?
264
Let g(j) = -j**3 - 91*j**2 + 95*j + 332. Calculate the least common multiple of 160 and g(-92).
1120
Let p(s) = 2*s - 9. Let q be (40/(-50) - (-15438)/10) + -5. Let j = 3003/2 - q. Calculate the common denominator of j and p(8).
2
Suppose -165 = -4*c + 92*u - 95*u, 3*u = 2*c - 87. Calculate the smallest common multiple of c and 154.
462
Suppose -3*s + l = -18 - 20, -2*s - 4*l = -44. Suppose 6*x = s*x - 176. What is the smallest common multiple of x and 34?
374
Let w = -10465639/247669136 + -15/108247. Calculate the common denominator of w and -103/286.
2288
Let a(q) = -3*q**2 - q. Let m be a(-1). What is the common denominator of -7/48 and 11456/1152 + m*(4 + -1)?
144
Let o(q) = q**2 + 10 - q**3 - 7*q**2 + 17*q - 24*q. Suppose -l - 4*l - 25 = 0. What is the smallest common multiple of o(l) and 130?
260
Calculate the common denominator of -121/120 and (238/(-96))/(460/(-368)).
120
Let l = 1840695023 + -445445645605/242. Let v = l + -10537. What is the common denominator of 6/4*285/36 and v?
968
Calculat