9/1211 + -3447/2. Let u = b + -33941/79926. Find the common denominator of u and -137/72.
792
What is the common denominator of 97/88 and 1090/(-175)*15/(-4)*(-1)/9?
1848
Find the common denominator of 47/130 and (-2303)/2625 + 144/128 + (-2)/16.
9750
Let q be (-492)/8*(0 + 2). Calculate the common denominator of -179/180 and 17/(-51) + q/54.
180
Let a = -1516 - -1473. Suppose 0 = 2*o + 3*o + 350. What is the common denominator of 2/10 + (-469)/o and a?
10
What is the common denominator of 31/1047 and 90/(-44) - (-13 + 529/46)?
11517
Suppose -41*d + 36*d = 12*s - 4813, 1637 = 4*s - 3*d. What is the least common multiple of s and 1212?
1212
Let z be 1 - 36/(-20) - 12/15. Let w = z - -58. What is the common denominator of 83/10 and 214/w*((-96)/21 - -5)?
70
Calculate the common denominator of (13/(780/(-1602)))/(336/(-10)*1) and -77/30.
1680
Suppose 2*q = -q + o + 4067, -3*q + 4075 = -5*o. Find the common denominator of -35/8 and (12/15)/(-4) + q/1900.
152
Suppose -92 = 3650*l - 3673*l. Let x = 163 - 63. What is the smallest common multiple of x and l?
100
Let s = 25710 - 565523/22. Let p be (-606445)/(-123900) - 3/(9/2). Let q = -97/118 - p. What is the common denominator of s and q?
220
Suppose -14 = -t - 4*y, -3*t + 3*y - 2*y + 3 = 0. Suppose t*f - 11 = -c, -2*c + 16*f = 19*f - 18. Calculate the smallest common multiple of c and 60.
60
Find the common denominator of ((-3)/798)/(2828/406 + -7) and 74/21.
798
Let z(n) = -1097*n + 6675. What is the lowest common multiple of 129 and z(6)?
3999
Let s(b) = 57*b + 13. Let q(t) = -11*t - 2. Let h(i) = -11*q(i) - 2*s(i). Suppose -4*o - 2 = -5*o. What is the lowest common multiple of 7 and h(o)?
70
Suppose 0 = 38*u - 129 - 1771. Calculate the common denominator of u and 67/72.
72
Let j(w) = -104*w + 73. Let g(l) = 35*l - 24. Let u(d) = -7*g(d) - 2*j(d). What is the lowest common multiple of u(-2) and 8?
96
Suppose -3063*f + 85386 = 2*s - 3066*f, s = 5*f + 42707. What is the least common multiple of s and 1?
42687
Let u(b) = -198*b + 1633. What is the lowest common multiple of u(8) and 1323?
1323
Let d(i) = -4*i**2 - 3*i - 7. Let l be d(-25). What is the common denominator of ((-552)/l)/(15/(-10)) and -27/20?
760
Let r(z) = -3*z**3 - 59*z**2 + 43*z + 49. Let f(x) = 4*x**3 + 88*x**2 - 65*x - 73. Let d(u) = 5*f(u) + 7*r(u). What is the least common multiple of d(26) and 5?
30
Suppose 2 + 7 = 3*b. Suppose 0 = b*m + 6*o - o - 87, -4*m + 5*o + 151 = 0. What is the common denominator of 3/9 - m/80 and 55/14?
840
Suppose -10 = 2*u - 0*u, -2*n - 2*u + 3214 = 0. Calculate the lowest common multiple of 10 and n.
8060
Let s = -687661/30 - -22926. Let c be 1 + 8/(-12) + -2170. Let l = -2145 - c. Calculate the common denominator of s and l.
30
Suppose -2*n - 1 = l - 22, -51 = -5*n - 4*l. What is the least common multiple of n and (-7 - -6)/((-8)/208)?
286
Let m = -970 - -990. Suppose 2*b + b - 5*l = 5, -4*b - 2*l = -50. What is the lowest common multiple of 78/b + (-2)/(-10) and m?
40
Suppose -4*u = 5*b - 398, 5*b - 396 = 2*u - 5*u. Let r(w) = w**2 - 15*w - 4. What is the smallest common multiple of r(17) and b?
390
Calculate the common denominator of (-12)/(-54) + 362*2/36 and 35/(-98)*-5*(-20)/24.
84
Let k = -5 + 16. Let s(a) = a**2 - 2*a. Let c be s(2). Suppose 4*f = 3*l - c*f - 41, 0 = -2*l + 4*f + 30. What is the lowest common multiple of l and k?
11
Let c = 3789 - 3785. Let r be ((-1 + 2)*-2)/2. Let j = r + 43. Calculate the smallest common multiple of j and c.
84
Let p = -574 - -606. Calculate the least common multiple of 138 and p + 6/(-3) - -6.
828
Let n = -137303/2 - -70089. Let c = 1468 - n. Let t = 2/7 + 23/42. What is the common denominator of c and t?
6
Let h be (-10485)/(-1)*(-36)/(-45). Let j be (-4)/(-39)*h/(-12). Let l = 18133/260 + j. What is the common denominator of -19/22 and l?
220
Calculate the lowest common multiple of 1 - (390/(-8) - (-17)/(-68)) and (31 + -20)*10/11.
50
Let v be (-12)/42 - 290/14. Let b be -1*16*v/42. Suppose -4*j + b = -0*j. What is the lowest common multiple of j and 16?
16
Let c be (70/6)/(8/5223). Let q = -7605 + c. Calculate the common denominator of ((-2)/(-6))/(21 + 143075/(-6825)) and q.
40
Suppose 0*v = 3*v + 5*y + 279, -5*y = -15. Let x = 8 - v. What is the smallest common multiple of 1 and x?
106
Let m = -368365/19 + 19387. Let o = 16 - 9. What is the common denominator of m and o?
19
Let p(n) be the first derivative of -n**3/3 + 4*n**2 - 3*n - 177. Let s(k) = -7*k - 6. What is the smallest common multiple of p(7) and s(-6)?
36
Find the common denominator of -79/24 and 65/780 - 113/4908.
9816
Let m = -33/51991792 - 17123698163031/571909712. Let n = 29942 + m. What is the common denominator of n and -87/80?
880
Let a(k) = -k**2 - 10*k - 11. Let i be a(-8). Let x be -352 - (-9)/(-15)*i. Let j = 3601/10 + x. Calculate the common denominator of j and -5.
10
Let o = 402/13 - 1805/26. Let l be (-1 + 5925/12)*(-8)/(-2). Calculate the common denominator of 6/(-10) - l/990 - -2 and o.
22
What is the common denominator of ((-76)/90)/(-1)*(-12)/(-52) and 97/234?
1170
Let o(r) = 14*r**3 - 10*r**2 + 23*r - 15. Let l(u) be the second derivative of u**3/6 - 2*u**2 - 4*u. Calculate the lowest common multiple of l(5) and o(1).
12
Let x = -27 - -91. Suppose -l = -5*g - 26, 15*g = 4*l + 19*g - 56. Calculate the smallest common multiple of l and x.
64
Let a = 1391/11 - 127. Suppose -8*d = -7*d + 102. Let s = d + 393/4. What is the common denominator of s and a?
44
Suppose 102*y = 264 + 3204. Calculate the smallest common multiple of 102 and y.
102
Let l be ((-5)/10 + 4)*-6. Calculate the common denominator of 0 + -2 - (194/(-24) + -3) and l/(-5)*30/(-12).
12
Suppose 0*l + 400 = 5*l. Let h(s) = -8*s + 87. What is the least common multiple of h(4) and l?
880
Suppose -47*w + 42*w + 5*p = -520, w - 116 = -p. What is the lowest common multiple of w and 2937?
29370
Suppose -62*u - 3*a = -59*u - 24, 2*u - 32 = 2*a. What is the least common multiple of 2938 and u?
17628
Let h(o) = o**3 - 4*o**2 - 19*o - 8. Let m be h(7). Suppose 2*g = -f + 4*g + m, 2*f + 2*g = 24. What is the least common multiple of 16 and f?
80
Let o(f) = 10*f. Let y be o(12). Suppose -187*r + 183*r = -y. Calculate the smallest common multiple of 14 and r.
210
Suppose 2*y = -0*y + 3*a + 3, 8 = 2*y + 2*a. Calculate the lowest common multiple of 9*6 - (y - 1) and 16.
208
Let t = -449263/88 - -5105. Calculate the common denominator of t and 89/24.
264
Suppose 8*s + 33 = -3*s. Let j be s/(3/(-60)*3). Find the common denominator of -107/12 and 2 - (0 + 1) - (-122)/j.
60
Let s be (1080/75)/(9/30). Suppose -71 = -s*r + 217. Calculate the lowest common multiple of r and 126.
126
Let q = -6/15959 + -653533/2090629. Find the common denominator of -68/3 and q.
393
Let v = 225604/17 - 80084014/6035. Let t = v - 7871/19170. Calculate the common denominator of t and -49/12.
540
Let j = -68384 + 55391009/810. Find the common denominator of -163/120 and j.
3240
Suppose -13*p - 6912 = -7198. Let i(a) = -a**3 + 5*a**2 + 8*a + 4. Let t be 6 + (0 - -1 - 1). Calculate the lowest common multiple of p and i(t).
176
Let v = 21263609/160 - 132897. Calculate the common denominator of 99/8 and v.
160
Suppose 31 = -u - 5*a, 4*u + 37 = -3*a - 2. Let w be (-4)/u - 664/(-12). Suppose 0 = 51*g - w*g + 135. Calculate the lowest common multiple of 6 and g.
54
Suppose 0 = -8*d + 13*d - 200. Let m = -34 + d. Calculate the lowest common multiple of ((-3)/m)/(1/(-8)) and 28.
28
Suppose 20 = 5*q - 5. Suppose -q*g + 5 + 15 = 0. Calculate the lowest common multiple of -2 + g - (0 - -1) and 10.
10
Suppose -5*k - 29 = -h - 1, 4*k = -4*h + 64. Calculate the least common multiple of h and (2/4)/(39/2808).
36
Calculate the smallest common multiple of 214 and -3*564/(-28) + 14/98*-3.
6420
Let c(k) = 14*k + 329. What is the lowest common multiple of 477 and c(-22)?
3339
Let v(m) = -71 + 35 - 174 + 5*m + 28. Suppose 0 = -l - 2*f + 70, -2*l + f - 205 = -5*l. Calculate the least common multiple of l and v(38).
136
Let w(i) = 19*i - 35. Let k be w(2). Calculate the common denominator of -73/10 and 4/64*k/(-12)*-9.
320
Let i = -19/5 + 139/45. Let s = -1653393/55 + 30061. Find the common denominator of s and i.
495
Let d = 30530416270 - 36536878775713853/1196737. Let p